============================== FOF-Prover9 =========================== FOF-Prover9 (32) version March-2007, March 2007. Process 20952 was started by mccune on cleo, Mon Mar 19 17:01:22 2007 The command was "/home/mccune/bin/fof-prover9 -f SET660+3.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file SET660+3.in set(prolog_style_variables). formulas(assumptions). (all B (ilf_type(B,binary_relation_type) -> (all C (ilf_type(C,set_type) -> (member(C,range_of(B)) <-> (exists D (ilf_type(D,set_type) & member(ordered_pair(D,C),B)))))))). (all B (ilf_type(B,binary_relation_type) -> ilf_type(range_of(B),set_type))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,binary_relation_type) -> (member(ordered_pair(B,C),D) -> member(B,domain_of(D)) & member(C,range_of(D))))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ((all D (ilf_type(D,set_type) -> (member(D,B) <-> member(D,C)))) -> B = C))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,set_type) -> (all E (ilf_type(E,set_type) -> (all F (ilf_type(F,set_type) -> (F = ordered_pair(D,E) <-> F = unordered_pair(unordered_pair(D,E),singleton(D))))))))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ilf_type(ordered_pair(B,C),set_type))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,subset_type(cross_product(B,C))) -> ilf_type(D,relation_type(B,C)))) & (all E (ilf_type(E,relation_type(B,C)) -> ilf_type(E,subset_type(cross_product(B,C))))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (exists D ilf_type(D,relation_type(C,B))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (B = C <-> subset(B,C) & subset(C,B)))))). (all B (ilf_type(B,binary_relation_type) -> ilf_type(domain_of(B),set_type))). (all B (ilf_type(B,set_type) -> ilf_type(singleton(B),set_type))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ilf_type(cross_product(B,C),set_type))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ilf_type(unordered_pair(B,C),set_type))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> unordered_pair(B,C) = unordered_pair(C,B))))). (all B (ilf_type(B,set_type) -> (ilf_type(B,binary_relation_type) <-> relation_like(B) & ilf_type(B,set_type)))). (exists B ilf_type(B,binary_relation_type)). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (ilf_type(C,subset_type(B)) <-> ilf_type(C,member_type(power_set(B)))))))). (all B (ilf_type(B,set_type) -> (exists C ilf_type(C,subset_type(B))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (B = C <-> (all D (ilf_type(D,set_type) -> (member(D,B) <-> member(D,C))))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (subset(B,C) <-> (all D (ilf_type(D,set_type) -> (member(D,B) -> member(D,C))))))))). (all B (ilf_type(B,set_type) -> subset(B,B))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (member(B,power_set(C)) <-> (all D (ilf_type(D,set_type) -> (member(D,B) -> member(D,C))))))))). (all B (ilf_type(B,set_type) -> -empty(power_set(B)) & ilf_type(power_set(B),set_type))). (all B (ilf_type(B,set_type) -> (all C (-empty(C) & ilf_type(C,set_type) -> (ilf_type(B,member_type(C)) <-> member(B,C)))))). (all B (-empty(B) & ilf_type(B,set_type) -> (exists C ilf_type(C,member_type(B))))). (all B (ilf_type(B,set_type) -> (relation_like(B) <-> (all C (ilf_type(C,set_type) -> (member(C,B) -> (exists D (ilf_type(D,set_type) & (exists E (ilf_type(E,set_type) & C = ordered_pair(D,E))))))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,subset_type(cross_product(B,C))) -> relation_like(D))))))). (all B (ilf_type(B,set_type) -> (empty(B) <-> (all C (ilf_type(C,set_type) -> -member(C,B)))))). (all B (empty(B) & ilf_type(B,set_type) -> relation_like(B))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> domain(B,C,D) = domain_of(D))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> ilf_type(domain(B,C,D),subset_type(B)))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> range(B,C,D) = range_of(D))))))). (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> ilf_type(range(B,C,D),subset_type(C)))))))). (all B ilf_type(B,set_type)). -(all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> ((all E (ilf_type(E,set_type) -> (member(E,C) -> (exists F (ilf_type(F,set_type) & member(ordered_pair(F,E),D)))))) <-> range(B,C,D) = C))))))). end_of_list. ============================== end of input ========================== % clear(auto_denials), because it is incompatiable with FOF reduction. Attempting problem reduction; original problem has = <549,143>. Problem reduction (0.00 sec) gives 6 independent subproblems: ( <735,116> <734,117> <709,115> <708,116> <709,115> <708,116> ). Max nnf_size of subproblems is 735; max cnf_max is 117. ============================== FOF REDUCTION MULTISEARCH ============= Subproblem 1 of 6 (negated): ((all B (- ilf_type(B,binary_relation_type) | (all C (- ilf_type(C,set_type) | member(C,range_of(B)) | (all D (- ilf_type(D,set_type) | - member(ordered_pair(D,C),B))))))) & (all B (- ilf_type(B,binary_relation_type) | (all C (- ilf_type(C,set_type) | (exists D (ilf_type(D,set_type) & member(ordered_pair(D,C),B))) | - member(C,range_of(B)))))) & (all B (- ilf_type(B,binary_relation_type) | (all C (- ilf_type(C,set_type) | (exists D (ilf_type(D,set_type) & member(ordered_pair(D,C),B))) | (all D (- ilf_type(D,set_type) | - member(ordered_pair(D,C),B))))))) & (all B (- ilf_type(B,binary_relation_type) | ilf_type(range_of(B),set_type))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,binary_relation_type) | - member(ordered_pair(B,C),D) | member(B,domain_of(D)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,binary_relation_type) | - member(ordered_pair(B,C),D) | member(C,range_of(D)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))) | (exists D (ilf_type(D,set_type) & - member(D,B) & member(D,C))) | =(C,B))))) & (all D (- ilf_type(D,set_type) | (all E (- ilf_type(E,set_type) | (all F (- ilf_type(F,set_type) | =(ordered_pair(D,E),F) | - =(unordered_pair(unordered_pair(D,E),singleton(D)),F))))))) & (all D (- ilf_type(D,set_type) | (all E (- ilf_type(E,set_type) | (all F (- ilf_type(F,set_type) | =(unordered_pair(unordered_pair(D,E),singleton(D)),F) | - =(ordered_pair(D,E),F))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | ilf_type(ordered_pair(B,C),set_type))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,subset_type(cross_product(B,C))) | ilf_type(D,relation_type(B,C)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all E (- ilf_type(E,relation_type(B,C)) | ilf_type(E,subset_type(cross_product(B,C))))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (exists D ilf_type(D,relation_type(C,B))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | =(C,B) | - subset(B,C) | - subset(C,B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | subset(B,C) | - =(C,B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | subset(C,B) | - =(C,B))))) & (all B (- ilf_type(B,binary_relation_type) | ilf_type(domain_of(B),set_type))) & (all B (- ilf_type(B,set_type) | ilf_type(singleton(B),set_type))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | ilf_type(cross_product(B,C),set_type))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | ilf_type(unordered_pair(B,C),set_type))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | =(unordered_pair(C,B),unordered_pair(B,C)))))) & (all B (- ilf_type(B,set_type) | ilf_type(B,binary_relation_type) | - relation_like(B))) & (all B (- ilf_type(B,set_type) | relation_like(B) | - ilf_type(B,binary_relation_type))) & (exists B ilf_type(B,binary_relation_type)) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | ilf_type(C,subset_type(B)) | - ilf_type(C,member_type(power_set(B))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | ilf_type(C,member_type(power_set(B))) | - ilf_type(C,subset_type(B)))))) & (all B (- ilf_type(B,set_type) | (exists C ilf_type(C,subset_type(B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | =(C,B) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))) | (exists D (ilf_type(D,set_type) & - member(D,B) & member(D,C))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | member(D,B) | - member(D,C))) | - =(C,B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | member(D,B) | - member(D,C))) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))) | (exists D (ilf_type(D,set_type) & - member(D,B) & member(D,C))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | member(D,C) | - member(D,B))) | - =(C,B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | member(D,C) | - member(D,B))) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))) | (exists D (ilf_type(D,set_type) & - member(D,B) & member(D,C))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | subset(B,C) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | - member(D,B) | member(D,C))) | - subset(B,C))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | - member(D,B) | member(D,C))) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))))))) & (all B (- ilf_type(B,set_type) | subset(B,B))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | member(B,power_set(C)) | (exists D (ilf_type(D,set_type) & member(D,B) & - member(D,C))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,set_type) | - member(D,B) | member(D,C))) | - member(B,power_set(C)))))) & (all B (- ilf_type(B,set_type) | - empty(power_set(B)))) & (all B (- ilf_type(B,set_type) | ilf_type(power_set(B),set_type))) & (all B (- ilf_type(B,set_type) | (all C (empty(C) | - ilf_type(C,set_type) | ilf_type(B,member_type(C)) | - member(B,C))))) & (all B (- ilf_type(B,set_type) | (all C (empty(C) | - ilf_type(C,set_type) | member(B,C) | - ilf_type(B,member_type(C)))))) & (all B (empty(B) | - ilf_type(B,set_type) | (exists C ilf_type(C,member_type(B))))) & (all B (- ilf_type(B,set_type) | relation_like(B) | (exists C (ilf_type(C,set_type) & member(C,B) & (all D (- ilf_type(D,set_type) | (all E (- ilf_type(E,set_type) | - =(ordered_pair(D,E),C))))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | - member(C,B) | (exists D (ilf_type(D,set_type) & (exists E (ilf_type(E,set_type) & =(ordered_pair(D,E),C))))))) | - relation_like(B))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | - member(C,B) | (exists D (ilf_type(D,set_type) & (exists E (ilf_type(E,set_type) & =(ordered_pair(D,E),C))))))) | (exists C (ilf_type(C,set_type) & member(C,B) & (all D (- ilf_type(D,set_type) | (all E (- ilf_type(E,set_type) | - =(ordered_pair(D,E),C))))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,subset_type(cross_product(B,C))) | relation_like(D))))))) & (all B (- ilf_type(B,set_type) | empty(B) | (exists C (ilf_type(C,set_type) & member(C,B))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | - member(C,B))) | - empty(B))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | - member(C,B))) | (exists C (ilf_type(C,set_type) & member(C,B))))) & (all B (- empty(B) | - ilf_type(B,set_type) | relation_like(B))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,relation_type(B,C)) | =(domain(B,C,D),domain_of(D)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,relation_type(B,C)) | ilf_type(domain(B,C,D),subset_type(B)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,relation_type(B,C)) | =(range(B,C,D),range_of(D)))))))) & (all B (- ilf_type(B,set_type) | (all C (- ilf_type(C,set_type) | (all D (- ilf_type(D,relation_type(B,C)) | ilf_type(range(B,C,D),subset_type(C)))))))) & (all B ilf_type(B,set_type)) & (exists B (ilf_type(B,set_type) & (exists C (ilf_type(C,set_type) & (exists D (ilf_type(D,relation_type(B,C)) & (all E (- ilf_type(E,set_type) | - member(E,C) | (exists F (ilf_type(F,set_type) & member(ordered_pair(F,E),D))))) & - =(range(B,C,D),C)))))))). Child search process 20953 started. ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). -ilf_type(A,binary_relation_type) | -ilf_type(B,set_type) | member(B,range_of(A)) | -ilf_type(C,set_type) | -member(ordered_pair(C,B),A). [assumption]. -ilf_type(A,binary_relation_type) | -ilf_type(B,set_type) | ilf_type(f1(A,B),set_type) | -member(B,range_of(A)). [assumption]. -ilf_type(A,binary_relation_type) | -ilf_type(B,set_type) | member(ordered_pair(f1(A,B),B),A) | -member(B,range_of(A)). [assumption]. -ilf_type(A,binary_relation_type) | -ilf_type(B,set_type) | ilf_type(f2(A,B),set_type) | -ilf_type(C,set_type) | -member(ordered_pair(C,B),A). [assumption]. -ilf_type(A,binary_relation_type) | -ilf_type(B,set_type) | member(ordered_pair(f2(A,B),B),A) | -ilf_type(C,set_type) | -member(ordered_pair(C,B),A). [assumption]. -ilf_type(A,binary_relation_type) | ilf_type(range_of(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,binary_relation_type) | -member(ordered_pair(A,B),C) | member(A,domain_of(C)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,binary_relation_type) | -member(ordered_pair(A,B),C) | member(B,range_of(C)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(f3(A,B),set_type) | ilf_type(f4(A,B),set_type) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(f3(A,B),set_type) | -member(f4(A,B),A) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(f3(A,B),set_type) | member(f4(A,B),B) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(f3(A,B),A) | ilf_type(f4(A,B),set_type) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(f3(A,B),A) | -member(f4(A,B),A) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(f3(A,B),A) | member(f4(A,B),B) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(f3(A,B),B) | ilf_type(f4(A,B),set_type) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(f3(A,B),B) | -member(f4(A,B),A) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(f3(A,B),B) | member(f4(A,B),B) | B = A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(A,B) = C | unordered_pair(unordered_pair(A,B),singleton(A)) != C. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | unordered_pair(unordered_pair(A,B),singleton(A)) = C | ordered_pair(A,B) != C. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(ordered_pair(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | ilf_type(C,relation_type(A,B)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,relation_type(A,B)) | ilf_type(C,subset_type(cross_product(A,B))). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(f5(A,B),relation_type(B,A)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | -subset(A,B) | -subset(B,A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | subset(A,B) | B != A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | subset(B,A) | B != A. [assumption]. -ilf_type(A,binary_relation_type) | ilf_type(domain_of(A),set_type). [assumption]. -ilf_type(A,set_type) | ilf_type(singleton(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(cross_product(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(unordered_pair(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | unordered_pair(B,A) = unordered_pair(A,B). [assumption]. -ilf_type(A,set_type) | ilf_type(A,binary_relation_type) | -relation_like(A). [assumption]. -ilf_type(A,set_type) | relation_like(A) | -ilf_type(A,binary_relation_type). [assumption]. ilf_type(c1,binary_relation_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(B,subset_type(A)) | -ilf_type(B,member_type(power_set(A))). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | ilf_type(B,member_type(power_set(A))) | -ilf_type(B,subset_type(A)). [assumption]. -ilf_type(A,set_type) | ilf_type(f6(A),subset_type(A)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | ilf_type(f7(A,B),set_type) | ilf_type(f8(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | ilf_type(f7(A,B),set_type) | -member(f8(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | ilf_type(f7(A,B),set_type) | member(f8(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | member(f7(A,B),A) | ilf_type(f8(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | member(f7(A,B),A) | -member(f8(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | member(f7(A,B),A) | member(f8(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | -member(f7(A,B),B) | ilf_type(f8(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | -member(f7(A,B),B) | -member(f8(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | B = A | -member(f7(A,B),B) | member(f8(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | B != A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | ilf_type(f9(A,B),set_type) | ilf_type(f10(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | ilf_type(f9(A,B),set_type) | -member(f10(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | ilf_type(f9(A,B),set_type) | member(f10(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | member(f9(A,B),A) | ilf_type(f10(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | member(f9(A,B),A) | -member(f10(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | member(f9(A,B),A) | member(f10(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | -member(f9(A,B),B) | ilf_type(f10(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | -member(f9(A,B),B) | -member(f10(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,A) | -member(C,B) | -member(f9(A,B),B) | member(f10(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | B != A. [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | ilf_type(f11(A,B),set_type) | ilf_type(f12(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | ilf_type(f11(A,B),set_type) | -member(f12(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | ilf_type(f11(A,B),set_type) | member(f12(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | member(f11(A,B),A) | ilf_type(f12(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | member(f11(A,B),A) | -member(f12(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | member(f11(A,B),A) | member(f12(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | -member(f11(A,B),B) | ilf_type(f12(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | -member(f11(A,B),B) | -member(f12(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | member(C,B) | -member(C,A) | -member(f11(A,B),B) | member(f12(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | subset(A,B) | ilf_type(f13(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | subset(A,B) | member(f13(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | subset(A,B) | -member(f13(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | -member(C,A) | member(C,B) | -subset(A,B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | -member(C,A) | member(C,B) | ilf_type(f14(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | -member(C,A) | member(C,B) | member(f14(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | -member(C,A) | member(C,B) | -member(f14(A,B),B). [assumption]. -ilf_type(A,set_type) | subset(A,A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(A,power_set(B)) | ilf_type(f15(A,B),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(A,power_set(B)) | member(f15(A,B),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | member(A,power_set(B)) | -member(f15(A,B),B). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | -member(C,A) | member(C,B) | -member(A,power_set(B)). [assumption]. -ilf_type(A,set_type) | -empty(power_set(A)). [assumption]. -ilf_type(A,set_type) | ilf_type(power_set(A),set_type). [assumption]. -ilf_type(A,set_type) | empty(B) | -ilf_type(B,set_type) | ilf_type(A,member_type(B)) | -member(A,B). [assumption]. -ilf_type(A,set_type) | empty(B) | -ilf_type(B,set_type) | member(A,B) | -ilf_type(A,member_type(B)). [assumption]. empty(A) | -ilf_type(A,set_type) | ilf_type(f16(A),member_type(A)). [assumption]. -ilf_type(A,set_type) | relation_like(A) | ilf_type(f17(A),set_type). [assumption]. -ilf_type(A,set_type) | relation_like(A) | member(f17(A),A). [assumption]. -ilf_type(A,set_type) | relation_like(A) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f17(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f18(A,B),set_type) | -relation_like(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f19(A,B),set_type) | -relation_like(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B | -relation_like(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f20(A,B),set_type) | ilf_type(f22(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f20(A,B),set_type) | member(f22(A),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f20(A,B),set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | ordered_pair(C,D) != f22(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f21(A,B),set_type) | ilf_type(f22(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f21(A,B),set_type) | member(f22(A),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f21(A,B),set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | ordered_pair(C,D) != f22(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f20(A,B),f21(A,B)) = B | ilf_type(f22(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f20(A,B),f21(A,B)) = B | member(f22(A),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f20(A,B),f21(A,B)) = B | -ilf_type(C,set_type) | -ilf_type(D,set_type) | ordered_pair(C,D) != f22(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | relation_like(C). [assumption]. -ilf_type(A,set_type) | empty(A) | ilf_type(f23(A),set_type). [assumption]. -ilf_type(A,set_type) | empty(A) | member(f23(A),A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | -empty(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f24(A),set_type). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | member(f24(A),A). [assumption]. -empty(A) | -ilf_type(A,set_type) | relation_like(A). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,relation_type(A,B)) | domain(A,B,C) = domain_of(C). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,relation_type(A,B)) | ilf_type(domain(A,B,C),subset_type(A)). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,relation_type(A,B)) | range(A,B,C) = range_of(C). [assumption]. -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,relation_type(A,B)) | ilf_type(range(A,B,C),subset_type(B)). [assumption]. ilf_type(A,set_type). [assumption]. ilf_type(c2,set_type). [assumption]. ilf_type(c3,set_type). [assumption]. ilf_type(c4,relation_type(c2,c3)). [assumption]. -ilf_type(A,set_type) | -member(A,c3) | ilf_type(f25(A),set_type). [assumption]. -ilf_type(A,set_type) | -member(A,c3) | member(ordered_pair(f25(A),A),c4). [assumption]. range(c2,c3,c4) != c3. [assumption]. end_of_list. formulas(demodulators). end_of_list. ============================== PREDICATE ELIMINATION ================= Eliminating relation_like/1 1 -ilf_type(A,set_type) | relation_like(A) | -ilf_type(A,binary_relation_type). [assumption]. 2 -ilf_type(A,set_type) | ilf_type(A,binary_relation_type) | -relation_like(A). [assumption]. 3 -ilf_type(A,set_type) | relation_like(A) | ilf_type(f17(A),set_type). [assumption]. 4 -ilf_type(A,set_type) | relation_like(A) | member(f17(A),A). [assumption]. Derived: -ilf_type(A,set_type) | member(f17(A),A) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type). [resolve(4,b,2,c)]. 5 -ilf_type(A,set_type) | relation_like(A) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f17(A). [assumption]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f17(A) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type). [resolve(5,b,2,c)]. 6 -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f18(A,B),set_type) | -relation_like(A). [assumption]. 7 -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f19(A,B),set_type) | -relation_like(A). [assumption]. 8 -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B | -relation_like(A). [assumption]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B | -ilf_type(A,set_type) | -ilf_type(A,binary_relation_type). [resolve(8,e,1,b)]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B | -ilf_type(A,set_type) | member(f17(A),A). [resolve(8,e,4,b)]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B | -ilf_type(A,set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | ordered_pair(C,D) != f17(A). [resolve(8,e,5,b)]. 9 -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | relation_like(C). [assumption]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | -ilf_type(C,set_type) | ilf_type(C,binary_relation_type). [resolve(9,d,2,c)]. Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | -member(D,C) | ordered_pair(f18(C,D),f19(C,D)) = D. [resolve(9,d,8,e)]. 10 -empty(A) | -ilf_type(A,set_type) | relation_like(A). [assumption]. Derived: -empty(A) | -ilf_type(A,set_type) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type). [resolve(10,c,2,c)]. Derived: -empty(A) | -ilf_type(A,set_type) | -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f18(A,B),f19(A,B)) = B. [resolve(10,c,8,e)]. ============================== end predicate elimination ============= Term ordering decisions: Relation symbol precedence: lex([ empty, ilf_type, member, subset, =, relation_like ]). Function symbol precedence: lex([ set_type, binary_relation_type, c1, c2, c3, c4, ordered_pair, relation_type, unordered_pair, cross_product, f1, f2, f3, f4, f5, f7, f8, f9, f10, f11, f12, f13, f14, f15, f18, f19, f20, f21, subset_type, power_set, range_of, member_type, domain_of, singleton, f6, f16, f17, f22, f23, f24, f25, domain, range ]). After inverse_order: (no changes). Unfolding symbols: (none). Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(paramodulation) -> set(back_demod). % set(binary_resolution). % (non-Horn) Auto_process settings: % set(factor). % (non-Horn) % set(back_unit_deletion). % (non-Horn) % set(back_unit_deletion) -> set(unit_deletion). % Operation unordered_pair is commutative; C redundancy checks enabled. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). end_of_list. formulas(sos). 41 ilf_type(c1,binary_relation_type). [assumption]. 112 ilf_type(A,set_type). [assumption]. 113 ilf_type(c4,relation_type(c2,c3)). [assumption]. 116 -member(A,c3) | member(ordered_pair(f25(A),A),c4). [copy(115),unit_del(a,112)]. 117 range(c2,c3,c4) != c3. [assumption]. 119 member(f17(A),A) | ilf_type(A,binary_relation_type). [copy(118),merge(c),unit_del(a,112)]. 121 f17(A) != ordered_pair(B,C) | ilf_type(A,binary_relation_type). [copy(120),flip(d),merge(e),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 123 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | -ilf_type(B,binary_relation_type). [copy(122),merge(e),unit_del(a,112),unit_del(b,112)]. 125 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | member(f17(B),B). [copy(124),merge(e),unit_del(a,112),unit_del(b,112)]. 127 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | f17(B) != ordered_pair(C,D). [copy(126),flip(h),merge(e),unit_del(a,112),unit_del(b,112),unit_del(e,112),unit_del(f,112)]. 129 -ilf_type(A,subset_type(cross_product(B,C))) | ilf_type(A,binary_relation_type). [copy(128),unit_del(a,112),unit_del(b,112),unit_del(d,112)]. 131 -ilf_type(A,subset_type(cross_product(B,C))) | -member(D,A) | ordered_pair(f18(A,D),f19(A,D)) = D. [copy(130),unit_del(a,112),unit_del(b,112),unit_del(d,112),unit_del(e,112)]. 133 -empty(A) | ilf_type(A,binary_relation_type). [copy(132),merge(c),unit_del(b,112)]. 148 subset(A,A). [factor(34,a,b),xx(c),unit_del(a,112)]. 155 member(f9(A,B),A) | -member(f9(A,B),B) | -member(f10(A,B),A). [factor(59,d,f),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 158 member(f9(A,B),A) | -member(f9(A,B),B) | member(f10(A,B),B). [factor(60,d,f),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 167 member(f12(A,B),B) | -member(f12(A,B),A) | member(f11(A,B),A). [factor(69,e,g),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 172 member(f12(A,B),B) | -member(f12(A,B),A) | -member(f11(A,B),B). [factor(72,e,g),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 185 -member(power_set(A),power_set(A)) | member(power_set(A),A). [factor(85,d,f),merge(c),unit_del(a,112),unit_del(b,112)]. 201 -ilf_type(A,relation_type(B,C)) | ilf_type(range(B,C,A),subset_type(C)). [back_unit_del(111),unit_del(a,112),unit_del(b,112)]. 202 -ilf_type(A,relation_type(B,C)) | range(B,C,A) = range_of(A). [back_unit_del(110),unit_del(a,112),unit_del(b,112)]. 203 -ilf_type(A,relation_type(B,C)) | ilf_type(domain(B,C,A),subset_type(B)). [back_unit_del(109),unit_del(a,112),unit_del(b,112)]. 204 -ilf_type(A,relation_type(B,C)) | domain(B,C,A) = domain_of(A). [back_unit_del(108),unit_del(a,112),unit_del(b,112)]. 205 -member(A,B) | member(f24(B),B). [back_unit_del(107),unit_del(a,112),unit_del(b,112)]. 206 -member(A,B) | -empty(B). [back_unit_del(105),unit_del(a,112),unit_del(b,112)]. 207 empty(A) | member(f23(A),A). [back_unit_del(104),unit_del(a,112)]. 208 -member(A,B) | ordered_pair(f20(B,A),f21(B,A)) = A | f22(B) != ordered_pair(C,D). [back_unit_del(102),unit_del(a,112),unit_del(b,112),unit_del(e,112),unit_del(f,112)]. 209 -member(A,B) | ordered_pair(f20(B,A),f21(B,A)) = A | member(f22(B),B). [back_unit_del(100),unit_del(a,112),unit_del(b,112)]. 210 empty(A) | ilf_type(f16(A),member_type(A)). [back_unit_del(90),unit_del(b,112)]. 211 empty(A) | member(B,A) | -ilf_type(B,member_type(A)). [back_unit_del(89),unit_del(a,112),unit_del(c,112)]. 212 empty(A) | ilf_type(B,member_type(A)) | -member(B,A). [back_unit_del(88),unit_del(a,112),unit_del(c,112)]. 213 -empty(power_set(A)). [back_unit_del(86),unit_del(a,112)]. 214 -member(A,B) | member(A,C) | -member(B,power_set(C)). [back_unit_del(85),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 215 member(A,power_set(B)) | -member(f15(A,B),B). [back_unit_del(84),unit_del(a,112),unit_del(b,112)]. 216 member(A,power_set(B)) | member(f15(A,B),A). [back_unit_del(83),unit_del(a,112),unit_del(b,112)]. 217 -member(A,B) | member(A,C) | -member(f14(B,C),C). [back_unit_del(80),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 218 -member(A,B) | member(A,C) | member(f14(B,C),B). [back_unit_del(79),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 219 -member(A,B) | member(A,C) | -subset(B,C). [back_unit_del(77),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 220 subset(A,B) | -member(f13(A,B),B). [back_unit_del(76),unit_del(a,112),unit_del(b,112)]. 221 subset(A,B) | member(f13(A,B),A). [back_unit_del(75),unit_del(a,112),unit_del(b,112)]. 222 member(A,B) | -member(A,C) | -member(f11(C,B),B) | member(f12(C,B),B). [back_unit_del(73),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 223 member(A,B) | -member(A,C) | -member(f11(C,B),B) | -member(f12(C,B),C). [back_unit_del(72),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 224 member(A,B) | -member(A,C) | member(f11(C,B),C) | member(f12(C,B),B). [back_unit_del(70),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 225 member(A,B) | -member(A,C) | member(f11(C,B),C) | -member(f12(C,B),C). [back_unit_del(69),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 226 member(A,B) | -member(A,C) | B != C. [back_unit_del(64),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 227 member(A,B) | -member(A,C) | -member(f9(B,C),C) | member(f10(B,C),C). [back_unit_del(63),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 228 member(A,B) | -member(A,C) | -member(f9(B,C),C) | -member(f10(B,C),B). [back_unit_del(62),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 229 member(A,B) | -member(A,C) | member(f9(B,C),B) | member(f10(B,C),C). [back_unit_del(60),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 230 member(A,B) | -member(A,C) | member(f9(B,C),B) | -member(f10(B,C),B). [back_unit_del(59),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 231 member(A,B) | -member(A,C) | C != B. [back_unit_del(54),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 232 A = B | -member(f7(B,A),A) | member(f8(B,A),A). [back_unit_del(53),unit_del(a,112),unit_del(b,112)]. 233 A = B | -member(f7(B,A),A) | -member(f8(B,A),B). [back_unit_del(52),unit_del(a,112),unit_del(b,112)]. 234 A = B | member(f7(B,A),B) | member(f8(B,A),A). [back_unit_del(50),unit_del(a,112),unit_del(b,112)]. 235 A = B | member(f7(B,A),B) | -member(f8(B,A),B). [back_unit_del(49),unit_del(a,112),unit_del(b,112)]. 236 ilf_type(f6(A),subset_type(A)). [back_unit_del(44),unit_del(a,112)]. 237 ilf_type(A,member_type(power_set(B))) | -ilf_type(A,subset_type(B)). [back_unit_del(43),unit_del(a,112),unit_del(b,112)]. 238 ilf_type(A,subset_type(B)) | -ilf_type(A,member_type(power_set(B))). [back_unit_del(42),unit_del(a,112),unit_del(b,112)]. 239 unordered_pair(A,B) = unordered_pair(B,A). [back_unit_del(40),unit_del(a,112),unit_del(b,112)]. 240 subset(A,B) | A != B. [back_unit_del(35),unit_del(a,112),unit_del(b,112)]. 241 subset(A,B) | B != A. [back_unit_del(34),unit_del(a,112),unit_del(b,112)]. 242 A = B | -subset(B,A) | -subset(A,B). [back_unit_del(33),unit_del(a,112),unit_del(b,112)]. 243 ilf_type(f5(A,B),relation_type(B,A)). [back_unit_del(32),unit_del(a,112),unit_del(b,112)]. 244 -ilf_type(A,relation_type(B,C)) | ilf_type(A,subset_type(cross_product(B,C))). [back_unit_del(31),unit_del(a,112),unit_del(b,112)]. 245 -ilf_type(A,subset_type(cross_product(B,C))) | ilf_type(A,relation_type(B,C)). [back_unit_del(30),unit_del(a,112),unit_del(b,112)]. 246 unordered_pair(unordered_pair(A,B),singleton(A)) = C | ordered_pair(A,B) != C. [back_unit_del(28),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 247 ordered_pair(A,B) = C | unordered_pair(unordered_pair(A,B),singleton(A)) != C. [back_unit_del(27),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. 248 -member(f3(A,B),B) | member(f4(A,B),B) | B = A. [back_unit_del(26),unit_del(a,112),unit_del(b,112)]. 249 -member(f3(A,B),B) | -member(f4(A,B),A) | B = A. [back_unit_del(25),unit_del(a,112),unit_del(b,112)]. 250 member(f3(A,B),A) | member(f4(A,B),B) | B = A. [back_unit_del(23),unit_del(a,112),unit_del(b,112)]. 251 member(f3(A,B),A) | -member(f4(A,B),A) | B = A. [back_unit_del(22),unit_del(a,112),unit_del(b,112)]. 252 -ilf_type(A,binary_relation_type) | -member(ordered_pair(B,C),A) | member(B,domain_of(A)). [back_unit_del(17),unit_del(a,112),unit_del(b,112)]. 253 -ilf_type(A,binary_relation_type) | member(ordered_pair(f2(A,B),B),A) | -member(ordered_pair(C,B),A). [back_unit_del(15),unit_del(b,112),unit_del(d,112)]. 254 -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,B),B),A) | -member(B,range_of(A)). [back_unit_del(13),unit_del(b,112)]. 255 -ilf_type(A,binary_relation_type) | member(B,range_of(A)) | -member(ordered_pair(C,B),A). [back_unit_del(11),unit_del(b,112),unit_del(d,112)]. end_of_list. formulas(demodulators). 239 unordered_pair(A,B) = unordered_pair(B,A). [back_unit_del(40),unit_del(a,112),unit_del(b,112)]. % (lex-dep) end_of_list. ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.02 seconds. given #1 (I,wt=3): 41 ilf_type(c1,binary_relation_type). [assumption]. given #2 (I,wt=3): 112 ilf_type(A,set_type). [assumption]. given #3 (I,wt=5): 113 ilf_type(c4,relation_type(c2,c3)). [assumption]. given #4 (I,wt=9): 116 -member(A,c3) | member(ordered_pair(f25(A),A),c4). [copy(115),unit_del(a,112)]. given #5 (I,wt=6): 117 range(c2,c3,c4) != c3. [assumption]. given #6 (I,wt=7): 119 member(f17(A),A) | ilf_type(A,binary_relation_type). [copy(118),merge(c),unit_del(a,112)]. given #7 (I,wt=9): 121 f17(A) != ordered_pair(B,C) | ilf_type(A,binary_relation_type). [copy(120),flip(d),merge(e),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #8 (I,wt=15): 123 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | -ilf_type(B,binary_relation_type). [copy(122),merge(e),unit_del(a,112),unit_del(b,112)]. given #9 (I,wt=16): 125 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | member(f17(B),B). [copy(124),merge(e),unit_del(a,112),unit_del(b,112)]. given #10 (I,wt=18): 127 -member(A,B) | ordered_pair(f18(B,A),f19(B,A)) = A | f17(B) != ordered_pair(C,D). [copy(126),flip(h),merge(e),unit_del(a,112),unit_del(b,112),unit_del(e,112),unit_del(f,112)]. given #11 (I,wt=9): 129 -ilf_type(A,subset_type(cross_product(B,C))) | ilf_type(A,binary_relation_type). [copy(128),unit_del(a,112),unit_del(b,112),unit_del(d,112)]. given #12 (I,wt=18): 131 -ilf_type(A,subset_type(cross_product(B,C))) | -member(D,A) | ordered_pair(f18(A,D),f19(A,D)) = D. [copy(130),unit_del(a,112),unit_del(b,112),unit_del(d,112),unit_del(e,112)]. given #13 (I,wt=5): 133 -empty(A) | ilf_type(A,binary_relation_type). [copy(132),merge(c),unit_del(b,112)]. given #14 (I,wt=3): 148 subset(A,A). [factor(34,a,b),xx(c),unit_del(a,112)]. given #15 (I,wt=15): 155 member(f9(A,B),A) | -member(f9(A,B),B) | -member(f10(A,B),A). [factor(59,d,f),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #16 (I,wt=15): 158 member(f9(A,B),A) | -member(f9(A,B),B) | member(f10(A,B),B). [factor(60,d,f),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #17 (I,wt=15): 167 member(f12(A,B),B) | -member(f12(A,B),A) | member(f11(A,B),A). [factor(69,e,g),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #18 (I,wt=15): 172 member(f12(A,B),B) | -member(f12(A,B),A) | -member(f11(A,B),B). [factor(72,e,g),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #19 (I,wt=9): 185 -member(power_set(A),power_set(A)) | member(power_set(A),A). [factor(85,d,f),merge(c),unit_del(a,112),unit_del(b,112)]. given #20 (I,wt=12): 201 -ilf_type(A,relation_type(B,C)) | ilf_type(range(B,C,A),subset_type(C)). [back_unit_del(111),unit_del(a,112),unit_del(b,112)]. given #21 (I,wt=12): 202 -ilf_type(A,relation_type(B,C)) | range(B,C,A) = range_of(A). [back_unit_del(110),unit_del(a,112),unit_del(b,112)]. given #22 (I,wt=12): 203 -ilf_type(A,relation_type(B,C)) | ilf_type(domain(B,C,A),subset_type(B)). [back_unit_del(109),unit_del(a,112),unit_del(b,112)]. given #23 (I,wt=12): 204 -ilf_type(A,relation_type(B,C)) | domain(B,C,A) = domain_of(A). [back_unit_del(108),unit_del(a,112),unit_del(b,112)]. given #24 (I,wt=7): 205 -member(A,B) | member(f24(B),B). [back_unit_del(107),unit_del(a,112),unit_del(b,112)]. given #25 (I,wt=5): 206 -member(A,B) | -empty(B). [back_unit_del(105),unit_del(a,112),unit_del(b,112)]. given #26 (I,wt=6): 207 empty(A) | member(f23(A),A). [back_unit_del(104),unit_del(a,112)]. given #27 (I,wt=18): 208 -member(A,B) | ordered_pair(f20(B,A),f21(B,A)) = A | f22(B) != ordered_pair(C,D). [back_unit_del(102),unit_del(a,112),unit_del(b,112),unit_del(e,112),unit_del(f,112)]. given #28 (I,wt=16): 209 -member(A,B) | ordered_pair(f20(B,A),f21(B,A)) = A | member(f22(B),B). [back_unit_del(100),unit_del(a,112),unit_del(b,112)]. given #29 (I,wt=7): 210 empty(A) | ilf_type(f16(A),member_type(A)). [back_unit_del(90),unit_del(b,112)]. given #30 (I,wt=9): 211 empty(A) | member(B,A) | -ilf_type(B,member_type(A)). [back_unit_del(89),unit_del(a,112),unit_del(c,112)]. given #31 (I,wt=9): 212 empty(A) | ilf_type(B,member_type(A)) | -member(B,A). [back_unit_del(88),unit_del(a,112),unit_del(c,112)]. given #32 (I,wt=3): 213 -empty(power_set(A)). [back_unit_del(86),unit_del(a,112)]. given #33 (I,wt=10): 214 -member(A,B) | member(A,C) | -member(B,power_set(C)). [back_unit_del(85),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #34 (I,wt=9): 215 member(A,power_set(B)) | -member(f15(A,B),B). [back_unit_del(84),unit_del(a,112),unit_del(b,112)]. given #35 (I,wt=9): 216 member(A,power_set(B)) | member(f15(A,B),A). [back_unit_del(83),unit_del(a,112),unit_del(b,112)]. given #36 (I,wt=11): 217 -member(A,B) | member(A,C) | -member(f14(B,C),C). [back_unit_del(80),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #37 (I,wt=11): 218 -member(A,B) | member(A,C) | member(f14(B,C),B). [back_unit_del(79),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #38 (I,wt=9): 219 -member(A,B) | member(A,C) | -subset(B,C). [back_unit_del(77),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #39 (I,wt=8): 220 subset(A,B) | -member(f13(A,B),B). [back_unit_del(76),unit_del(a,112),unit_del(b,112)]. given #40 (I,wt=8): 221 subset(A,B) | member(f13(A,B),A). [back_unit_del(75),unit_del(a,112),unit_del(b,112)]. given #41 (I,wt=16): 222 member(A,B) | -member(A,C) | -member(f11(C,B),B) | member(f12(C,B),B). [back_unit_del(73),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #42 (I,wt=16): 223 member(A,B) | -member(A,C) | -member(f11(C,B),B) | -member(f12(C,B),C). [back_unit_del(72),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #43 (I,wt=16): 224 member(A,B) | -member(A,C) | member(f11(C,B),C) | member(f12(C,B),B). [back_unit_del(70),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #44 (I,wt=16): 225 member(A,B) | -member(A,C) | member(f11(C,B),C) | -member(f12(C,B),C). [back_unit_del(69),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #45 (I,wt=9): 226 member(A,B) | -member(A,C) | B != C. [back_unit_del(64),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #46 (I,wt=16): 227 member(A,B) | -member(A,C) | -member(f9(B,C),C) | member(f10(B,C),C). [back_unit_del(63),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #47 (I,wt=16): 228 member(A,B) | -member(A,C) | -member(f9(B,C),C) | -member(f10(B,C),B). [back_unit_del(62),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #48 (I,wt=16): 229 member(A,B) | -member(A,C) | member(f9(B,C),B) | member(f10(B,C),C). [back_unit_del(60),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #49 (I,wt=16): 230 member(A,B) | -member(A,C) | member(f9(B,C),B) | -member(f10(B,C),B). [back_unit_del(59),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #50 (I,wt=9): 231 member(A,B) | -member(A,C) | C != B. [back_unit_del(54),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #51 (I,wt=13): 232 A = B | -member(f7(B,A),A) | member(f8(B,A),A). [back_unit_del(53),unit_del(a,112),unit_del(b,112)]. given #52 (I,wt=13): 233 A = B | -member(f7(B,A),A) | -member(f8(B,A),B). [back_unit_del(52),unit_del(a,112),unit_del(b,112)]. given #53 (I,wt=13): 234 A = B | member(f7(B,A),B) | member(f8(B,A),A). [back_unit_del(50),unit_del(a,112),unit_del(b,112)]. given #54 (I,wt=13): 235 A = B | member(f7(B,A),B) | -member(f8(B,A),B). [back_unit_del(49),unit_del(a,112),unit_del(b,112)]. given #55 (I,wt=5): 236 ilf_type(f6(A),subset_type(A)). [back_unit_del(44),unit_del(a,112)]. given #56 (I,wt=9): 237 ilf_type(A,member_type(power_set(B))) | -ilf_type(A,subset_type(B)). [back_unit_del(43),unit_del(a,112),unit_del(b,112)]. given #57 (I,wt=9): 238 ilf_type(A,subset_type(B)) | -ilf_type(A,member_type(power_set(B))). [back_unit_del(42),unit_del(a,112),unit_del(b,112)]. given #58 (I,wt=7): 239 unordered_pair(A,B) = unordered_pair(B,A). [back_unit_del(40),unit_del(a,112),unit_del(b,112)]. given #59 (I,wt=6): 240 subset(A,B) | A != B. [back_unit_del(35),unit_del(a,112),unit_del(b,112)]. given #60 (I,wt=6): 241 subset(A,B) | B != A. [back_unit_del(34),unit_del(a,112),unit_del(b,112)]. given #61 (I,wt=9): 242 A = B | -subset(B,A) | -subset(A,B). [back_unit_del(33),unit_del(a,112),unit_del(b,112)]. given #62 (I,wt=7): 243 ilf_type(f5(A,B),relation_type(B,A)). [back_unit_del(32),unit_del(a,112),unit_del(b,112)]. given #63 (I,wt=11): 244 -ilf_type(A,relation_type(B,C)) | ilf_type(A,subset_type(cross_product(B,C))). [back_unit_del(31),unit_del(a,112),unit_del(b,112)]. given #64 (I,wt=11): 245 -ilf_type(A,subset_type(cross_product(B,C))) | ilf_type(A,relation_type(B,C)). [back_unit_del(30),unit_del(a,112),unit_del(b,112)]. given #65 (I,wt=13): 246 unordered_pair(unordered_pair(A,B),singleton(A)) = C | ordered_pair(A,B) != C. [back_unit_del(28),unit_del(a,112),unit_del(b,112),unit_del(c,112)]. given #66 (I,wt=13): 248 -member(f3(A,B),B) | member(f4(A,B),B) | B = A. [back_unit_del(26),unit_del(a,112),unit_del(b,112)]. given #67 (I,wt=13): 249 -member(f3(A,B),B) | -member(f4(A,B),A) | B = A. [back_unit_del(25),unit_del(a,112),unit_del(b,112)]. given #68 (I,wt=13): 250 member(f3(A,B),A) | member(f4(A,B),B) | B = A. [back_unit_del(23),unit_del(a,112),unit_del(b,112)]. given #69 (I,wt=13): 251 member(f3(A,B),A) | -member(f4(A,B),A) | B = A. [back_unit_del(22),unit_del(a,112),unit_del(b,112)]. given #70 (I,wt=12): 252 -ilf_type(A,binary_relation_type) | -member(ordered_pair(B,C),A) | member(B,domain_of(A)). [back_unit_del(17),unit_del(a,112),unit_del(b,112)]. given #71 (I,wt=15): 253 -ilf_type(A,binary_relation_type) | member(ordered_pair(f2(A,B),B),A) | -member(ordered_pair(C,B),A). [back_unit_del(15),unit_del(b,112),unit_del(d,112)]. given #72 (I,wt=14): 254 -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,B),B),A) | -member(B,range_of(A)). [back_unit_del(13),unit_del(b,112)]. given #73 (I,wt=12): 255 -ilf_type(A,binary_relation_type) | member(B,range_of(A)) | -member(ordered_pair(C,B),A). [back_unit_del(11),unit_del(b,112),unit_del(d,112)]. given #74 (A,wt=11): 256 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),c4). [resolve(119,a,116,a)]. given #75 (F,wt=4): 260 range_of(c4) != c3. [back_rewrite(117),rewrite(258(4))]. given #76 (T,wt=4): 279 member(A,power_set(A)). [resolve(216,b,215,b),merge(b)]. given #77 (T,wt=5): 259 ilf_type(range_of(c4),subset_type(c3)). [back_rewrite(257),rewrite(258(4))]. given #78 (T,wt=5): 263 ilf_type(domain_of(c4),subset_type(c2)). [back_rewrite(261),rewrite(262(4))]. given #79 (T,wt=5): 383 ilf_type(c3,binary_relation_type) | -empty(c4). [resolve(256,b,206,a)]. given #80 (A,wt=7): 258 range(c2,c3,c4) = range_of(c4). [resolve(202,a,113,a)]. given #81 (T,wt=5): 406 ilf_type(A,member_type(power_set(A))). [resolve(279,a,212,c),unit_del(a,213)]. given #82 (T,wt=4): 414 ilf_type(A,subset_type(A)). [resolve(406,a,238,b)]. given #83 (T,wt=5): 416 ilf_type(cross_product(A,B),binary_relation_type). [resolve(414,a,129,a)]. given #84 (T,wt=6): 265 empty(A) | member(f24(A),A). [resolve(207,b,205,a)]. given #85 (A,wt=7): 262 domain(c2,c3,c4) = domain_of(c4). [resolve(204,a,113,a)]. given #86 (T,wt=6): 272 empty(A) | member(f16(A),A). [resolve(211,c,210,b),merge(c)]. given #87 (T,wt=6): 284 member(A,power_set(B)) | -empty(A). [resolve(216,b,206,a)]. given #88 (T,wt=6): 332 ilf_type(f6(cross_product(A,B)),binary_relation_type). [resolve(236,a,129,a)]. given #89 (T,wt=6): 333 ilf_type(f6(A),member_type(power_set(A))). [resolve(237,b,236,a)]. given #90 (A,wt=7): 264 member(f24(A),A) | ilf_type(A,binary_relation_type). [resolve(205,a,119,a)]. given #91 (T,wt=5): 454 member(f6(A),power_set(A)). [resolve(333,a,211,c),unit_del(a,213)]. given #92 (T,wt=6): 334 ilf_type(f16(power_set(A)),subset_type(A)). [resolve(238,b,210,b),unit_del(b,213)]. given #93 (T,wt=6): 346 ilf_type(c4,subset_type(cross_product(c2,c3))). [resolve(244,a,113,a)]. given #94 (T,wt=3): 489 ilf_type(c4,binary_relation_type). [resolve(346,a,129,a)]. given #95 (A,wt=20): 266 empty(A) | -ilf_type(A,subset_type(cross_product(B,C))) | ordered_pair(f18(A,f23(A)),f19(A,f23(A))) = f23(A). [resolve(207,b,131,b)]. given #96 (T,wt=6): 408 member(f24(power_set(A)),power_set(A)). [resolve(279,a,205,a)]. given #97 (T,wt=6): 412 ilf_type(range_of(c4),member_type(power_set(c3))). [resolve(259,a,237,b)]. given #98 (T,wt=5): 514 member(range_of(c4),power_set(c3)). [resolve(412,a,211,c),unit_del(a,213)]. given #99 (T,wt=6): 413 ilf_type(domain_of(c4),member_type(power_set(c2))). [resolve(263,a,237,b)]. given #100 (A,wt=18): 267 empty(A) | ordered_pair(f18(A,f23(A)),f19(A,f23(A))) = f23(A) | member(f17(A),A). [resolve(207,b,125,a)]. given #101 (T,wt=5): 531 member(domain_of(c4),power_set(c2)). [resolve(413,a,211,c),unit_del(a,213)]. given #102 (T,wt=7): 273 empty(A) | ilf_type(f23(A),member_type(A)). [resolve(212,c,207,b),merge(c)]. given #103 (T,wt=6): 558 ilf_type(f23(power_set(A)),subset_type(A)). [resolve(273,b,238,b),unit_del(a,213)]. given #104 (T,wt=7): 336 subset(unordered_pair(A,B),unordered_pair(B,A)). [resolve(240,b,239,a)]. given #105 (A,wt=17): 268 empty(A) | ordered_pair(f18(A,f23(A)),f19(A,f23(A))) = f23(A) | -ilf_type(A,binary_relation_type). [resolve(207,b,123,a)]. given #106 (T,wt=7): 342 ilf_type(domain_of(f5(A,B)),subset_type(B)). [resolve(243,a,203,a),rewrite(341(2))]. given #107 (T,wt=7): 344 ilf_type(range_of(f5(A,B)),subset_type(A)). [resolve(243,a,201,a),rewrite(343(2))]. given #108 (T,wt=7): 384 ilf_type(c3,binary_relation_type) | member(f24(c4),c4). [resolve(256,b,205,a)]. given #109 (T,wt=7): 415 ilf_type(cross_product(A,B),relation_type(A,B)). [resolve(414,a,245,a)]. given #110 (A,wt=10): 269 empty(c3) | member(ordered_pair(f25(f23(c3)),f23(c3)),c4). [resolve(207,b,116,a)]. given #111 (T,wt=4): 607 empty(c3) | -empty(c4). [resolve(269,b,206,a)]. given #112 (T,wt=6): 608 empty(c3) | member(f24(c4),c4). [resolve(269,b,205,a)]. given #113 (T,wt=7): 430 empty(A) | ilf_type(f24(A),member_type(A)). [resolve(265,b,212,c),merge(b)]. given #114 (T,wt=6): 627 ilf_type(f24(power_set(A)),subset_type(A)). [resolve(430,b,238,b),unit_del(a,213)]. given #115 (A,wt=18): 270 ordered_pair(f20(A,f23(A)),f21(A,f23(A))) = f23(A) | member(f22(A),A) | empty(A). [resolve(209,a,207,b)]. given #116 (T,wt=7): 479 -member(A,f6(B)) | member(A,B). [resolve(454,a,214,c)]. given #117 (T,wt=7): 486 ilf_type(f16(power_set(A)),member_type(power_set(A))). [resolve(334,a,237,b)]. given #118 (T,wt=6): 647 member(f16(power_set(A)),power_set(A)). [resolve(486,a,211,c),unit_del(a,213)]. given #119 (T,wt=7): 487 ilf_type(f16(power_set(cross_product(A,B))),binary_relation_type). [resolve(334,a,129,a)]. given #120 (A,wt=19): 271 ordered_pair(f20(A,f17(A)),f21(A,f17(A))) = f17(A) | member(f22(A),A) | ilf_type(A,binary_relation_type). [resolve(209,a,119,a)]. given #121 (T,wt=7): 488 ilf_type(c4,member_type(power_set(cross_product(c2,c3)))). [resolve(346,a,237,b)]. given #122 (T,wt=6): 669 member(c4,power_set(cross_product(c2,c3))). [resolve(488,a,211,c),unit_del(a,213)]. given #123 (T,wt=7): 509 ilf_type(f24(power_set(A)),member_type(power_set(A))). [resolve(408,a,212,c),unit_del(a,213)]. given #124 (T,wt=7): 525 -member(A,range_of(c4)) | member(A,c3). [resolve(514,a,214,c)]. given #125 (A,wt=10): 274 empty(A) | ilf_type(f17(A),member_type(A)) | ilf_type(A,binary_relation_type). [resolve(212,c,119,a)]. given #126 (T,wt=7): 552 -member(A,domain_of(c4)) | member(A,c2). [resolve(531,a,214,c)]. given #127 (T,wt=7): 561 ilf_type(f23(power_set(A)),member_type(power_set(A))). [resolve(558,a,237,b)]. given #128 (T,wt=6): 699 member(f23(power_set(A)),power_set(A)). [resolve(561,a,211,c),unit_del(a,213)]. given #129 (T,wt=7): 562 ilf_type(f23(power_set(cross_product(A,B))),binary_relation_type). [resolve(558,a,129,a)]. given #130 (A,wt=10): 275 member(f23(A),B) | -member(A,power_set(B)) | empty(A). [resolve(214,a,207,b)]. given #131 (T,wt=7): 588 ilf_type(domain_of(cross_product(A,B)),subset_type(A)). [resolve(415,a,203,a),rewrite(587(2))]. given #132 (T,wt=7): 590 ilf_type(range_of(cross_product(A,B)),subset_type(B)). [resolve(415,a,201,a),rewrite(589(2))]. given #133 (T,wt=7): 591 empty(c3) | member(f23(c3),range_of(c4)). [resolve(269,b,255,c),unit_del(b,489)]. given #134 (T,wt=5): 743 empty(c3) | -empty(range_of(c4)). [resolve(591,b,206,a)]. given #135 (A,wt=11): 276 member(f17(A),B) | -member(A,power_set(B)) | ilf_type(A,binary_relation_type). [resolve(214,a,119,a)]. given #136 (T,wt=7): 630 ilf_type(f24(power_set(cross_product(A,B))),binary_relation_type). [resolve(627,a,129,a)]. given #137 (T,wt=7): 668 member(f22(A),A) | ilf_type(A,binary_relation_type). [resolve(271,a,121,a(flip)),merge(c)]. given #138 (T,wt=8): 277 -member(A,f23(power_set(B))) | member(A,B). [resolve(214,c,207,b),unit_del(c,213)]. given #139 (T,wt=8): 285 member(A,power_set(B)) | member(f24(A),A). [resolve(216,b,205,a)]. given #140 (A,wt=12): 278 -member(A,f17(power_set(B))) | member(A,B) | ilf_type(power_set(B),binary_relation_type). [resolve(214,c,119,a)]. given #141 (T,wt=8): 345 ilf_type(f5(A,B),subset_type(cross_product(B,A))). [resolve(244,a,243,a)]. given #142 (T,wt=5): 847 ilf_type(f5(A,B),binary_relation_type). [resolve(345,a,129,a)]. given #143 (T,wt=8): 347 ilf_type(f6(cross_product(A,B)),relation_type(A,B)). [resolve(245,a,236,a)]. given #144 (T,wt=8): 405 member(A,B) | -member(power_set(A),power_set(B)). [resolve(279,a,214,a)]. given #145 (A,wt=14): 280 member(power_set(A),power_set(B)) | -member(C,f15(power_set(A),B)) | member(C,A). [resolve(216,b,214,c)]. given #146 (T,wt=8): 428 -member(A,f24(power_set(B))) | member(A,B). [resolve(265,b,214,c),unit_del(a,213)]. given #147 (T,wt=8): 447 -member(A,f16(power_set(B))) | member(A,B). [resolve(272,b,214,c),unit_del(a,213)]. given #148 (T,wt=8): 493 ilf_type(c3,binary_relation_type) | member(f17(c3),range_of(c4)). [back_unit_del(367),unit_del(b,489)]. given #149 (T,wt=6): 884 ilf_type(c3,binary_relation_type) | -empty(range_of(c4)). [resolve(493,b,206,a)]. given #150 (A,wt=13): 281 member(A,power_set(B)) | member(f15(A,B),C) | -member(A,power_set(C)). [resolve(216,b,214,a)]. given #151 (T,wt=8): 566 ilf_type(domain_of(f5(A,B)),member_type(power_set(B))). [resolve(342,a,237,b)]. given #152 (T,wt=7): 891 member(domain_of(f5(A,B)),power_set(B)). [resolve(566,a,211,c),unit_del(a,213)]. given #153 (T,wt=8): 567 ilf_type(domain_of(f5(A,cross_product(B,C))),binary_relation_type). [resolve(342,a,129,a)]. given #154 (T,wt=8): 570 ilf_type(range_of(f5(A,B)),member_type(power_set(A))). [resolve(344,a,237,b)]. given #155 (A,wt=12): 282 member(A,power_set(B)) | empty(A) | ilf_type(f15(A,B),member_type(A)). [resolve(216,b,212,c)]. given #156 (T,wt=7): 911 member(range_of(f5(A,B)),power_set(A)). [resolve(570,a,211,c),unit_del(a,213)]. given #157 (T,wt=8): 571 ilf_type(range_of(f5(cross_product(A,B),C)),binary_relation_type). [resolve(344,a,129,a)]. given #158 (T,wt=8): 593 empty(c3) | member(f25(f23(c3)),domain_of(c4)). [resolve(269,b,252,b),unit_del(b,489)]. given #159 (T,wt=5): 991 empty(c3) | -empty(domain_of(c4)). [resolve(593,b,206,a)]. given #160 (A,wt=23): 283 member(A,power_set(B)) | ordered_pair(f20(A,f15(A,B)),f21(A,f15(A,B))) = f15(A,B) | member(f22(A),A). [resolve(216,b,209,a)]. given #161 (T,wt=7): 977 empty(c3) | member(f25(f23(c3)),c2). [resolve(593,b,552,a)]. given #162 (T,wt=4): 1019 empty(c3) | -empty(c2). [resolve(977,b,206,a)]. given #163 (T,wt=6): 1020 empty(c3) | member(f24(c2),c2). [resolve(977,b,205,a)]. given #164 (T,wt=8): 641 member(f16(f6(A)),A) | empty(f6(A)). [resolve(479,a,272,b)]. given #165 (A,wt=25): 286 member(A,power_set(B)) | -ilf_type(A,subset_type(cross_product(C,D))) | ordered_pair(f18(A,f15(A,B)),f19(A,f15(A,B))) = f15(A,B). [resolve(216,b,131,b)]. given #166 (T,wt=5): 1065 empty(f6(A)) | -empty(A). [resolve(641,a,206,a)]. given #167 (T,wt=7): 1066 empty(f6(A)) | member(f24(A),A). [resolve(641,a,205,a)]. given #168 (T,wt=8): 642 member(f24(f6(A)),A) | empty(f6(A)). [resolve(479,a,265,b)]. given #169 (T,wt=8): 645 member(f23(f6(A)),A) | empty(f6(A)). [resolve(479,a,207,b)]. given #170 (A,wt=23): 287 member(A,power_set(B)) | ordered_pair(f18(A,f15(A,B)),f19(A,f15(A,B))) = f15(A,B) | member(f17(A),A). [resolve(216,b,125,a)]. given #171 (T,wt=8): 680 -member(A,c4) | member(A,cross_product(c2,c3)). [resolve(669,a,214,c)]. given #172 (T,wt=8): 686 member(f16(range_of(c4)),c3) | empty(range_of(c4)). [resolve(525,a,272,b)]. given #173 (T,wt=5): 1201 empty(range_of(c4)) | -empty(c3). [resolve(686,a,206,a)]. given #174 (T,wt=7): 1202 empty(range_of(c4)) | member(f24(c3),c3). [resolve(686,a,205,a)]. given #175 (A,wt=22): 288 member(A,power_set(B)) | ordered_pair(f18(A,f15(A,B)),f19(A,f15(A,B))) = f15(A,B) | -ilf_type(A,binary_relation_type). [resolve(216,b,123,a)]. given #176 (T,wt=8): 687 member(f24(range_of(c4)),c3) | empty(range_of(c4)). [resolve(525,a,265,b)]. given #177 (T,wt=8): 690 member(f23(range_of(c4)),c3) | empty(range_of(c4)). [resolve(525,a,207,b)]. given #178 (T,wt=8): 693 member(f16(domain_of(c4)),c2) | empty(domain_of(c4)). [resolve(552,a,272,b)]. given #179 (T,wt=5): 1271 empty(domain_of(c4)) | -empty(c2). [resolve(693,a,206,a)]. given #180 (A,wt=14): 289 member(c3,power_set(A)) | member(ordered_pair(f25(f15(c3,A)),f15(c3,A)),c4). [resolve(216,b,116,a)]. given #181 (T,wt=6): 1293 member(c3,power_set(A)) | -empty(c4). [resolve(289,b,206,a)]. given #182 (T,wt=7): 1272 empty(domain_of(c4)) | member(f24(c2),c2). [resolve(693,a,205,a)]. given #183 (T,wt=8): 694 member(f24(domain_of(c4)),c2) | empty(domain_of(c4)). [resolve(552,a,265,b)]. given #184 (T,wt=8): 697 member(f23(domain_of(c4)),c2) | empty(domain_of(c4)). [resolve(552,a,207,b)]. given #185 (A,wt=15): 290 member(power_set(power_set(A)),power_set(A)) | -member(power_set(power_set(A)),f15(power_set(power_set(A)),A)). [factor(280,a,c)]. given #186 (T,wt=8): 716 member(f23(c4),cross_product(c2,c3)) | empty(c4). [resolve(275,b,669,a)]. given #187 (T,wt=6): 1358 empty(c4) | -empty(cross_product(c2,c3)). [resolve(716,a,206,a)]. given #188 (T,wt=8): 723 ilf_type(domain_of(cross_product(A,B)),member_type(power_set(A))). [resolve(588,a,237,b)]. given #189 (T,wt=7): 1363 member(domain_of(cross_product(A,B)),power_set(A)). [resolve(723,a,211,c),unit_del(a,213)]. given #190 (A,wt=14): 291 member(f15(A,B),C) | -member(f14(A,C),C) | member(A,power_set(B)). [resolve(217,a,216,b)]. given #191 (T,wt=8): 724 ilf_type(domain_of(cross_product(cross_product(A,B),C)),binary_relation_type). [resolve(588,a,129,a)]. given #192 (T,wt=8): 727 ilf_type(range_of(cross_product(A,B)),member_type(power_set(B))). [resolve(590,a,237,b)]. given #193 (T,wt=7): 1385 member(range_of(cross_product(A,B)),power_set(B)). [resolve(727,a,211,c),unit_del(a,213)]. given #194 (T,wt=8): 728 ilf_type(range_of(cross_product(A,cross_product(B,C))),binary_relation_type). [resolve(590,a,129,a)]. given #195 (A,wt=11): 292 member(f23(A),B) | -member(f14(A,B),B) | empty(A). [resolve(217,a,207,b)]. given #196 (T,wt=8): 744 empty(c3) | member(f24(range_of(c4)),range_of(c4)). [resolve(591,b,205,a)]. given #197 (T,wt=7): 1407 empty(c3) | member(f24(range_of(c4)),c3). [resolve(744,b,525,a)]. given #198 (T,wt=8): 849 ilf_type(domain_of(f6(cross_product(A,B))),subset_type(A)). [resolve(347,a,203,a),rewrite(848(3))]. given #199 (T,wt=8): 851 ilf_type(range_of(f6(cross_product(A,B))),subset_type(B)). [resolve(347,a,201,a),rewrite(850(3))]. given #200 (A,wt=12): 293 member(f17(A),B) | -member(f14(A,B),B) | ilf_type(A,binary_relation_type). [resolve(217,a,119,a)]. given #201 (T,wt=8): 992 empty(c3) | member(f24(domain_of(c4)),domain_of(c4)). [resolve(593,b,205,a)]. given #202 (T,wt=7): 1453 empty(c3) | member(f24(domain_of(c4)),c2). [resolve(992,b,552,a)]. given #203 (T,wt=8): 1181 member(f24(c4),cross_product(c2,c3)) | empty(c3). [resolve(680,a,608,b)]. given #204 (T,wt=6): 1498 empty(c3) | -empty(cross_product(c2,c3)). [resolve(1181,a,206,a)]. given #205 (A,wt=14): 294 member(f15(A,B),C) | member(f14(A,C),A) | member(A,power_set(B)). [resolve(218,a,216,b)]. given #206 (T,wt=8): 1184 member(f16(c4),cross_product(c2,c3)) | empty(c4). [resolve(680,a,272,b)]. given #207 (T,wt=8): 1186 member(f24(c4),cross_product(c2,c3)) | empty(c4). [resolve(680,a,265,b)]. given #208 (T,wt=8): 1294 member(c3,power_set(A)) | member(f24(c4),c4). [resolve(289,b,205,a)]. given #209 (T,wt=8): 1435 empty(c3) | ilf_type(f24(range_of(c4)),member_type(c3)). [resolve(1407,b,212,c),merge(b)]. given #210 (A,wt=11): 295 member(f23(A),B) | member(f14(A,B),A) | empty(A). [resolve(218,a,207,b)]. given #211 (T,wt=8): 1649 member(f24(c4),c4) | -member(f24(c4),c3). [factor(1626,a,c)]. given #212 (T,wt=9): 404 member(A,B) | -member(f14(power_set(A),B),B). [resolve(279,a,217,a)]. given #213 (T,wt=9): 480 member(f6(A),B) | -member(power_set(A),power_set(B)). [resolve(454,a,214,a)]. given #214 (T,wt=9): 485 ilf_type(f16(power_set(cross_product(A,B))),relation_type(A,B)). [resolve(334,a,245,a)]. given #215 (A,wt=12): 296 member(f17(A),B) | member(f14(A,B),A) | ilf_type(A,binary_relation_type). [resolve(218,a,119,a)]. given #216 (T,wt=9): 491 ilf_type(c3,binary_relation_type) | member(f25(f17(c3)),domain_of(c4)). [back_unit_del(369),unit_del(b,489)]. given #217 (T,wt=6): 1799 ilf_type(c3,binary_relation_type) | -empty(domain_of(c4)). [resolve(491,b,206,a)]. given #218 (T,wt=8): 1785 ilf_type(c3,binary_relation_type) | member(f25(f17(c3)),c2). [resolve(491,b,552,a)]. given #219 (T,wt=5): 1817 ilf_type(c3,binary_relation_type) | -empty(c2). [resolve(1785,b,206,a)]. given #220 (A,wt=11): 297 member(f13(A,B),A) | -member(C,A) | member(C,B). [resolve(221,a,219,c)]. given #221 (T,wt=7): 1818 ilf_type(c3,binary_relation_type) | member(f24(c2),c2). [resolve(1785,b,205,a)]. given #222 (T,wt=9): 526 member(range_of(c4),A) | -member(power_set(c3),power_set(A)). [resolve(514,a,214,a)]. given #223 (T,wt=9): 553 member(domain_of(c4),A) | -member(power_set(c2),power_set(A)). [resolve(531,a,214,a)]. given #224 (T,wt=9): 560 ilf_type(f23(power_set(cross_product(A,B))),relation_type(A,B)). [resolve(558,a,245,a)]. given #225 (A,wt=19): 298 member(f15(A,B),C) | -member(f11(A,C),C) | member(f12(A,C),C) | member(A,power_set(B)). [resolve(222,b,216,b)]. given #226 (T,wt=9): 629 ilf_type(f24(power_set(cross_product(A,B))),relation_type(A,B)). [resolve(627,a,245,a)]. given #227 (T,wt=9): 643 member(f24(f6(A)),A) | ilf_type(f6(A),binary_relation_type). [resolve(479,a,264,a)]. given #228 (T,wt=6): 1941 ilf_type(f6(A),binary_relation_type) | -empty(A). [resolve(643,a,206,a)]. given #229 (T,wt=8): 1942 ilf_type(f6(A),binary_relation_type) | member(f24(A),A). [resolve(643,a,205,a)]. given #230 (A,wt=16): 299 member(f23(A),B) | -member(f11(A,B),B) | member(f12(A,B),B) | empty(A). [resolve(222,b,207,b)]. given #231 (T,wt=9): 646 member(f17(f6(A)),A) | ilf_type(f6(A),binary_relation_type). [resolve(479,a,119,a)]. given #232 (T,wt=9): 688 member(f24(range_of(c4)),c3) | ilf_type(range_of(c4),binary_relation_type). [resolve(525,a,264,a)]. given #233 (T,wt=6): 2021 ilf_type(range_of(c4),binary_relation_type) | -empty(c3). [resolve(688,a,206,a)]. given #234 (T,wt=8): 2022 ilf_type(range_of(c4),binary_relation_type) | member(f24(c3),c3). [resolve(688,a,205,a)]. given #235 (A,wt=17): 300 member(f17(A),B) | -member(f11(A,B),B) | member(f12(A,B),B) | ilf_type(A,binary_relation_type). [resolve(222,b,119,a)]. given #236 (T,wt=9): 691 member(f17(range_of(c4)),c3) | ilf_type(range_of(c4),binary_relation_type). [resolve(525,a,119,a)]. given #237 (T,wt=9): 695 member(f24(domain_of(c4)),c2) | ilf_type(domain_of(c4),binary_relation_type). [resolve(552,a,264,a)]. given #238 (T,wt=6): 2078 ilf_type(domain_of(c4),binary_relation_type) | -empty(c2). [resolve(695,a,206,a)]. given #239 (T,wt=8): 2079 ilf_type(domain_of(c4),binary_relation_type) | member(f24(c2),c2). [resolve(695,a,205,a)]. given #240 (A,wt=19): 301 member(f15(A,B),C) | -member(f11(A,C),C) | -member(f12(A,C),A) | member(A,power_set(B)). [resolve(223,b,216,b)]. given #241 (T,wt=9): 698 member(f17(domain_of(c4)),c2) | ilf_type(domain_of(c4),binary_relation_type). [resolve(552,a,119,a)]. given #242 (T,wt=9): 753 ilf_type(domain_of(c4),binary_relation_type) | member(f22(domain_of(c4)),c2). [resolve(668,a,552,a)]. given #243 (T,wt=9): 754 ilf_type(range_of(c4),binary_relation_type) | member(f22(range_of(c4)),c3). [resolve(668,a,525,a)]. given #244 (T,wt=9): 755 ilf_type(f6(A),binary_relation_type) | member(f22(f6(A)),A). [resolve(668,a,479,a)]. given #245 (A,wt=16): 302 member(f23(A),B) | -member(f11(A,B),B) | -member(f12(A,B),A) | empty(A). [resolve(223,b,207,b)]. given #246 (T,wt=9): 807 member(f24(A),A) | ilf_type(A,member_type(power_set(B))). [resolve(285,a,212,c),unit_del(b,213)]. given #247 (T,wt=7): 2210 ilf_type(A,member_type(power_set(B))) | -empty(A). [resolve(807,a,206,a)]. given #248 (T,wt=9): 846 ilf_type(f5(A,B),member_type(power_set(cross_product(B,A)))). [resolve(345,a,237,b)]. given #249 (T,wt=8): 2215 member(f5(A,B),power_set(cross_product(B,A))). [resolve(846,a,211,c),unit_del(a,213)]. given #250 (A,wt=17): 303 member(f17(A),B) | -member(f11(A,B),B) | -member(f12(A,B),A) | ilf_type(A,binary_relation_type). [resolve(223,b,119,a)]. given #251 (T,wt=9): 885 ilf_type(c3,binary_relation_type) | member(f24(range_of(c4)),range_of(c4)). [resolve(493,b,205,a)]. given #252 (T,wt=8): 2237 ilf_type(c3,binary_relation_type) | member(f24(range_of(c4)),c3). [resolve(885,b,525,a)]. given #253 (T,wt=9): 905 -member(A,domain_of(f5(B,C))) | member(A,C). [resolve(891,a,214,c)]. given #254 (T,wt=9): 971 -member(A,range_of(f5(B,C))) | member(A,B). [resolve(911,a,214,c)]. given #255 (A,wt=19): 304 member(f15(A,B),C) | member(f11(A,C),A) | member(f12(A,C),C) | member(A,power_set(B)). [resolve(224,b,216,b)]. given #256 (T,wt=9): 1082 empty(f6(domain_of(c4))) | member(f24(domain_of(c4)),c2). [resolve(1066,b,552,a)]. given #257 (T,wt=6): 2425 empty(f6(domain_of(c4))) | -empty(c2). [resolve(1082,b,206,a)]. given #258 (T,wt=8): 2426 empty(f6(domain_of(c4))) | member(f24(c2),c2). [resolve(1082,b,205,a)]. given #259 (T,wt=9): 1083 empty(f6(range_of(c4))) | member(f24(range_of(c4)),c3). [resolve(1066,b,525,a)]. given #260 (A,wt=16): 305 member(f23(A),B) | member(f11(A,B),A) | member(f12(A,B),B) | empty(A). [resolve(224,b,207,b)]. given #261 (T,wt=6): 2459 empty(f6(range_of(c4))) | -empty(c3). [resolve(1083,b,206,a)]. given #262 (T,wt=8): 2460 empty(f6(range_of(c4))) | member(f24(c3),c3). [resolve(1083,b,205,a)]. given #263 (T,wt=9): 1084 empty(f6(f6(A))) | member(f24(f6(A)),A). [resolve(1066,b,479,a)]. given #264 (T,wt=6): 2586 empty(f6(f6(A))) | -empty(A). [resolve(1084,b,206,a)]. given #265 (A,wt=17): 306 member(f17(A),B) | member(f11(A,B),A) | member(f12(A,B),B) | ilf_type(A,binary_relation_type). [resolve(224,b,119,a)]. given #266 (T,wt=8): 2587 empty(f6(f6(A))) | member(f24(A),A). [resolve(1084,b,205,a)]. given #267 (T,wt=9): 1177 member(f24(c4),cross_product(c2,c3)) | empty(f6(c4)). [resolve(680,a,1066,b)]. given #268 (T,wt=7): 2711 empty(f6(c4)) | -empty(cross_product(c2,c3)). [resolve(1177,a,206,a)]. given #269 (T,wt=9): 1182 member(f24(c4),cross_product(c2,c3)) | ilf_type(c3,binary_relation_type). [resolve(680,a,384,b)]. given #270 (A,wt=19): 307 member(f15(A,B),C) | member(f11(A,C),A) | -member(f12(A,C),A) | member(A,power_set(B)). [resolve(225,b,216,b)]. given #271 (T,wt=7): 2730 ilf_type(c3,binary_relation_type) | -empty(cross_product(c2,c3)). [resolve(1182,a,206,a)]. given #272 (T,wt=9): 1377 -member(A,domain_of(cross_product(B,C))) | member(A,B). [resolve(1363,a,214,c)]. given #273 (T,wt=9): 1399 -member(A,range_of(cross_product(B,C))) | member(A,C). [resolve(1385,a,214,c)]. given #274 (T,wt=9): 1444 ilf_type(domain_of(f6(cross_product(A,B))),member_type(power_set(A))). [resolve(849,a,237,b)]. given #275 (A,wt=16): 308 member(f23(A),B) | member(f11(A,B),A) | -member(f12(A,B),A) | empty(A). [resolve(225,b,207,b)]. given #276 (T,wt=8): 2793 member(domain_of(f6(cross_product(A,B))),power_set(A)). [resolve(1444,a,211,c),unit_del(a,213)]. given #277 (T,wt=9): 1445 ilf_type(domain_of(f6(cross_product(cross_product(A,B),C))),binary_relation_type). [resolve(849,a,129,a)]. given #278 (T,wt=9): 1449 ilf_type(range_of(f6(cross_product(A,B))),member_type(power_set(B))). [resolve(851,a,237,b)]. given #279 (T,wt=8): 2816 member(range_of(f6(cross_product(A,B))),power_set(B)). [resolve(1449,a,211,c),unit_del(a,213)]. given #280 (A,wt=17): 309 member(f17(A),B) | member(f11(A,B),A) | -member(f12(A,B),A) | ilf_type(A,binary_relation_type). [resolve(225,b,119,a)]. given #281 (T,wt=9): 1450 ilf_type(range_of(f6(cross_product(A,cross_product(B,C)))),binary_relation_type). [resolve(851,a,129,a)]. given #282 (T,wt=9): 1526 member(f14(A,B),A) | member(A,power_set(B)). [resolve(294,a,215,b),merge(c)]. given #283 (T,wt=9): 1628 member(f24(c4),c4) | ilf_type(c3,member_type(power_set(A))). [resolve(1294,a,212,c),unit_del(b,213)]. given #284 (T,wt=7): 2890 ilf_type(c3,member_type(power_set(A))) | -empty(c4). [resolve(1628,a,206,a)]. given #285 (A,wt=19): 310 member(f15(A,B),C) | -member(f9(C,A),A) | member(f10(C,A),A) | member(A,power_set(B)). [resolve(227,b,216,b)]. given #286 (T,wt=9): 1677 member(f14(A,B),A) | empty(A) | -empty(B). [resolve(295,a,206,a)]. given #287 (T,wt=9): 1720 ilf_type(domain_of(f16(power_set(cross_product(A,B)))),subset_type(A)). [resolve(485,a,203,a),rewrite(1719(4))]. given #288 (T,wt=9): 1722 ilf_type(range_of(f16(power_set(cross_product(A,B)))),subset_type(B)). [resolve(485,a,201,a),rewrite(1721(4))]. given #289 (T,wt=9): 1800 ilf_type(c3,binary_relation_type) | member(f24(domain_of(c4)),domain_of(c4)). [resolve(491,b,205,a)]. given #290 (A,wt=16): 311 member(f23(A),B) | -member(f9(B,A),A) | member(f10(B,A),A) | empty(A). [resolve(227,b,207,b)]. given #291 (T,wt=8): 2906 ilf_type(c3,binary_relation_type) | member(f24(domain_of(c4)),c2). [resolve(1800,b,552,a)]. given #292 (T,wt=9): 1904 ilf_type(domain_of(f23(power_set(cross_product(A,B)))),subset_type(A)). [resolve(560,a,203,a),rewrite(1903(4))]. given #293 (T,wt=9): 1906 ilf_type(range_of(f23(power_set(cross_product(A,B)))),subset_type(B)). [resolve(560,a,201,a),rewrite(1905(4))]. given #294 (T,wt=9): 1910 ilf_type(domain_of(f24(power_set(cross_product(A,B)))),subset_type(A)). [resolve(629,a,203,a),rewrite(1909(4))]. given #295 (A,wt=17): 312 member(f17(A),B) | -member(f9(B,A),A) | member(f10(B,A),A) | ilf_type(A,binary_relation_type). [resolve(227,b,119,a)]. given #296 (T,wt=9): 1912 ilf_type(range_of(f24(power_set(cross_product(A,B)))),subset_type(B)). [resolve(629,a,201,a),rewrite(1911(4))]. given #297 (T,wt=10): 335 member(A,unordered_pair(B,C)) | -member(A,unordered_pair(C,B)). [resolve(239,a,231,c)]. given #298 (T,wt=10): 350 unordered_pair(unordered_pair(A,B),singleton(A)) = ordered_pair(A,B). [xx_res(246,b)]. given #299 (T,wt=10): 403 member(A,B) | member(f14(power_set(A),B),power_set(A)). [resolve(279,a,218,a)]. given #300 (A,wt=19): 313 member(f15(A,B),C) | -member(f9(C,A),A) | -member(f10(C,A),C) | member(A,power_set(B)). [resolve(228,b,216,b)]. given #301 (T,wt=9): 3020 member(A,A) | -member(A,f14(power_set(A),A)). [factor(3013,a,c)]. given #302 (T,wt=10): 429 empty(A) | member(f24(A),B) | -member(A,power_set(B)). [resolve(265,b,214,a)]. given #303 (T,wt=10): 435 empty(c3) | member(ordered_pair(f25(f24(c3)),f24(c3)),c4). [resolve(265,b,116,a)]. given #304 (T,wt=7): 3057 empty(c3) | member(f24(c3),range_of(c4)). [resolve(435,b,255,c),unit_del(b,489)]. given #305 (A,wt=16): 314 member(f23(A),B) | -member(f9(B,A),A) | -member(f10(B,A),B) | empty(A). [resolve(228,b,207,b)]. given #306 (T,wt=8): 3059 empty(c3) | member(f25(f24(c3)),domain_of(c4)). [resolve(435,b,252,b),unit_del(b,489)]. given #307 (T,wt=7): 3096 empty(c3) | member(f25(f24(c3)),c2). [resolve(3059,b,552,a)]. given #308 (T,wt=10): 448 empty(A) | member(f16(A),B) | -member(A,power_set(B)). [resolve(272,b,214,a)]. given #309 (T,wt=10): 453 empty(c3) | member(ordered_pair(f25(f16(c3)),f16(c3)),c4). [resolve(272,b,116,a)]. given #310 (A,wt=17): 315 member(f17(A),B) | -member(f9(B,A),A) | -member(f10(B,A),B) | ilf_type(A,binary_relation_type). [resolve(228,b,119,a)]. given #311 (T,wt=7): 3159 empty(c3) | member(f16(c3),range_of(c4)). [resolve(453,b,255,c),unit_del(b,489)]. given #312 (T,wt=8): 3161 empty(c3) | member(f25(f16(c3)),domain_of(c4)). [resolve(453,b,252,b),unit_del(b,489)]. given #313 (T,wt=7): 3198 empty(c3) | member(f25(f16(c3)),c2). [resolve(3161,b,552,a)]. given #314 (T,wt=10): 478 member(f6(A),B) | -member(f14(power_set(A),B),B). [resolve(454,a,217,a)]. given #315 (A,wt=19): 316 member(f15(A,B),C) | member(f9(C,A),C) | member(f10(C,A),A) | member(A,power_set(B)). [resolve(229,b,216,b)]. given #316 (T,wt=10): 508 member(f24(power_set(A)),B) | -member(power_set(A),power_set(B)). [resolve(408,a,214,a)]. given #317 (T,wt=10): 524 member(range_of(c4),A) | -member(f14(power_set(c3),A),A). [resolve(514,a,217,a)]. given #318 (T,wt=10): 551 member(domain_of(c4),A) | -member(f14(power_set(c2),A),A). [resolve(531,a,217,a)]. given #319 (T,wt=10): 565 ilf_type(domain_of(f5(A,cross_product(B,C))),relation_type(B,C)). [resolve(342,a,245,a)]. given #320 (A,wt=16): 317 member(f23(A),B) | member(f9(B,A),B) | member(f10(B,A),A) | empty(A). [resolve(229,b,207,b)]. given #321 (T,wt=10): 569 ilf_type(range_of(f5(cross_product(A,B),C)),relation_type(A,B)). [resolve(344,a,245,a)]. given #322 (T,wt=10): 622 empty(c3) | member(f24(c4),A) | -member(c4,power_set(A)). [resolve(608,b,214,a)]. given #323 (T,wt=10): 658 member(f16(power_set(A)),B) | -member(power_set(A),power_set(B)). [resolve(647,a,214,a)]. given #324 (T,wt=10): 681 member(c4,A) | -member(power_set(cross_product(c2,c3)),power_set(A)). [resolve(669,a,214,a)]. given #325 (A,wt=17): 318 member(f17(A),B) | member(f9(B,A),B) | member(f10(B,A),A) | ilf_type(A,binary_relation_type). [resolve(229,b,119,a)]. given #326 (T,wt=10): 692 ilf_type(power_set(A),binary_relation_type) | ilf_type(f17(power_set(A)),subset_type(A)). [resolve(274,b,238,b),unit_del(a,213)]. given #327 (T,wt=10): 710 member(f23(power_set(A)),B) | -member(power_set(A),power_set(B)). [resolve(699,a,214,a)]. given #328 (T,wt=10): 715 member(f23(f23(power_set(A))),A) | empty(f23(power_set(A))). [resolve(275,b,699,a)]. given #329 (T,wt=6): 3555 empty(f23(power_set(A))) | -empty(A). [resolve(715,a,206,a)]. given #330 (A,wt=19): 319 member(f15(A,B),C) | member(f9(C,A),C) | -member(f10(C,A),C) | member(A,power_set(B)). [resolve(230,b,216,b)]. given #331 (T,wt=8): 3556 empty(f23(power_set(A))) | member(f24(A),A). [resolve(715,a,205,a)]. given #332 (T,wt=10): 717 member(f23(f16(power_set(A))),A) | empty(f16(power_set(A))). [resolve(275,b,647,a)]. given #333 (T,wt=6): 3630 empty(f16(power_set(A))) | -empty(A). [resolve(717,a,206,a)]. given #334 (T,wt=8): 3631 empty(f16(power_set(A))) | member(f24(A),A). [resolve(717,a,205,a)]. given #335 (A,wt=16): 320 member(f23(A),B) | member(f9(B,A),B) | -member(f10(B,A),B) | empty(A). [resolve(230,b,207,b)]. given #336 (T,wt=10): 718 member(f23(f24(power_set(A))),A) | empty(f24(power_set(A))). [resolve(275,b,408,a)]. given #337 (T,wt=6): 3705 empty(f24(power_set(A))) | -empty(A). [resolve(718,a,206,a)]. given #338 (T,wt=8): 3706 empty(f24(power_set(A))) | member(f24(A),A). [resolve(718,a,205,a)]. given #339 (T,wt=10): 722 ilf_type(domain_of(cross_product(cross_product(A,B),C)),relation_type(A,B)). [resolve(588,a,245,a)]. given #340 (A,wt=17): 321 member(f17(A),B) | member(f9(B,A),B) | -member(f10(B,A),B) | ilf_type(A,binary_relation_type). [resolve(230,b,119,a)]. given #341 (T,wt=10): 726 ilf_type(range_of(cross_product(A,cross_product(B,C))),relation_type(B,C)). [resolve(590,a,245,a)]. given #342 (T,wt=10): 771 ilf_type(A,binary_relation_type) | empty(A) | ilf_type(f22(A),member_type(A)). [resolve(668,a,212,c)]. given #343 (T,wt=10): 774 member(f16(f23(power_set(A))),A) | empty(f23(power_set(A))). [resolve(277,a,272,b)]. given #344 (T,wt=10): 775 member(f24(f23(power_set(A))),A) | empty(f23(power_set(A))). [resolve(277,a,265,b)]. given #345 (A,wt=16): 322 member(f7(A,B),A) | member(f8(A,B),B) | member(C,A) | -member(C,B). [resolve(234,a,231,c)]. given #346 (T,wt=10): 816 member(domain_of(c4),power_set(A)) | member(f24(domain_of(c4)),c2). [resolve(285,b,552,a)]. given #347 (T,wt=7): 3997 member(domain_of(c4),power_set(A)) | -empty(c2). [resolve(816,b,206,a)]. given #348 (T,wt=9): 3998 member(domain_of(c4),power_set(A)) | member(f24(c2),c2). [resolve(816,b,205,a)]. given #349 (T,wt=10): 817 member(range_of(c4),power_set(A)) | member(f24(range_of(c4)),c3). [resolve(285,b,525,a)]. given #350 (A,wt=16): 323 member(f7(A,B),A) | member(f8(A,B),B) | member(C,B) | -member(C,A). [resolve(234,a,226,c)]. given #351 (T,wt=7): 4070 member(range_of(c4),power_set(A)) | -empty(c3). [resolve(817,b,206,a)]. given #352 (T,wt=9): 4071 member(range_of(c4),power_set(A)) | member(f24(c3),c3). [resolve(817,b,205,a)]. given #353 (T,wt=10): 818 member(f6(A),power_set(B)) | member(f24(f6(A)),A). [resolve(285,b,479,a)]. given #354 (T,wt=7): 4309 member(f6(A),power_set(B)) | -empty(A). [resolve(818,b,206,a)]. given #355 (A,wt=31): 324 member(f7(ordered_pair(A,B),f22(C)),ordered_pair(A,B)) | member(f8(ordered_pair(A,B),f22(C)),f22(C)) | -member(D,C) | ordered_pair(f20(C,D),f21(C,D)) = D. [resolve(234,a,208,c)]. given #356 (T,wt=9): 4310 member(f6(A),power_set(B)) | member(f24(A),A). [resolve(818,b,205,a)]. given #357 (T,wt=10): 860 member(f16(f24(power_set(A))),A) | empty(f24(power_set(A))). [resolve(428,a,272,b)]. given #358 (T,wt=10): 861 member(f24(f24(power_set(A))),A) | empty(f24(power_set(A))). [resolve(428,a,265,b)]. given #359 (T,wt=10): 866 member(f16(f16(power_set(A))),A) | empty(f16(power_set(A))). [resolve(447,a,272,b)]. given #360 (A,wt=31): 325 member(f7(ordered_pair(A,B),f17(C)),ordered_pair(A,B)) | member(f8(ordered_pair(A,B),f17(C)),f17(C)) | -member(D,C) | ordered_pair(f18(C,D),f19(C,D)) = D. [resolve(234,a,127,c)]. given #361 (T,wt=10): 867 member(f24(f16(power_set(A))),A) | empty(f16(power_set(A))). [resolve(447,a,265,b)]. given #362 (T,wt=10): 1017 empty(c3) | empty(c2) | ilf_type(f25(f23(c3)),member_type(c2)). [resolve(977,b,212,c)]. given #363 (T,wt=10): 1034 empty(c3) | member(f24(c2),A) | -member(c2,power_set(A)). [resolve(1020,b,214,a)]. given #364 (T,wt=10): 1039 empty(f6(domain_of(c4))) | member(f16(f6(domain_of(c4))),c2). [resolve(641,a,552,a)]. given #365 (A,wt=22): 326 member(f7(ordered_pair(A,B),f17(C)),ordered_pair(A,B)) | member(f8(ordered_pair(A,B),f17(C)),f17(C)) | ilf_type(C,binary_relation_type). [resolve(234,a,121,a)]. given #366 (T,wt=10): 1040 empty(f6(range_of(c4))) | member(f16(f6(range_of(c4))),c3). [resolve(641,a,525,a)]. given #367 (T,wt=10): 1041 empty(f6(f6(A))) | member(f16(f6(f6(A))),A). [resolve(641,a,479,a)]. given #368 (T,wt=10): 1107 empty(f6(domain_of(c4))) | member(f24(f6(domain_of(c4))),c2). [resolve(642,a,552,a)]. given #369 (T,wt=10): 1108 empty(f6(range_of(c4))) | member(f24(f6(range_of(c4))),c3). [resolve(642,a,525,a)]. given #370 (A,wt=31): 327 member(f7(f22(A),ordered_pair(B,C)),f22(A)) | member(f8(f22(A),ordered_pair(B,C)),ordered_pair(B,C)) | -member(D,A) | ordered_pair(f20(A,D),f21(A,D)) = D. [resolve(234,a,208,c(flip))]. given #371 (T,wt=10): 1109 empty(f6(f6(A))) | member(f24(f6(f6(A))),A). [resolve(642,a,479,a)]. given #372 (T,wt=10): 1137 empty(f6(domain_of(c4))) | member(f23(f6(domain_of(c4))),c2). [resolve(645,a,552,a)]. given #373 (T,wt=10): 1138 empty(f6(range_of(c4))) | member(f23(f6(range_of(c4))),c3). [resolve(645,a,525,a)]. given #374 (T,wt=10): 1139 empty(f6(f6(A))) | member(f23(f6(f6(A))),A). [resolve(645,a,479,a)]. given #375 (A,wt=31): 328 member(f7(f17(A),ordered_pair(B,C)),f17(A)) | member(f8(f17(A),ordered_pair(B,C)),ordered_pair(B,C)) | -member(D,A) | ordered_pair(f18(A,D),f19(A,D)) = D. [resolve(234,a,127,c(flip))]. given #376 (T,wt=10): 1178 member(f23(f6(c4)),cross_product(c2,c3)) | empty(f6(c4)). [resolve(680,a,645,a)]. given #377 (T,wt=10): 1179 member(f24(f6(c4)),cross_product(c2,c3)) | empty(f6(c4)). [resolve(680,a,642,a)]. given #378 (T,wt=10): 1180 member(f16(f6(c4)),cross_product(c2,c3)) | empty(f6(c4)). [resolve(680,a,641,a)]. given #379 (T,wt=10): 1183 member(f24(c4),cross_product(c2,c3)) | member(c4,power_set(A)). [resolve(680,a,285,b)]. given #380 (A,wt=22): 329 member(f7(f17(A),ordered_pair(B,C)),f17(A)) | member(f8(f17(A),ordered_pair(B,C)),ordered_pair(B,C)) | ilf_type(A,binary_relation_type). [resolve(234,a,121,a(flip))]. given #381 (T,wt=8): 5439 member(c4,power_set(A)) | -empty(cross_product(c2,c3)). [resolve(1183,a,206,a)]. given #382 (T,wt=10): 1277 member(c3,power_set(A)) | member(f15(c3,A),range_of(c4)). [resolve(289,b,255,c),unit_del(b,489)]. given #383 (T,wt=5): 5518 member(c3,power_set(range_of(c4))). [resolve(1277,b,215,b),merge(b)]. given #384 (T,wt=6): 5546 ilf_type(c3,member_type(power_set(range_of(c4)))). [resolve(5518,a,212,c),unit_del(a,213)]. given #385 (A,wt=15): 330 member(f7(A,B),A) | member(f8(A,B),B) | -member(f7(A,B),B). [factor(322,a,c)]. given #386 (T,wt=5): 5551 ilf_type(c3,subset_type(range_of(c4))). [resolve(5546,a,238,b)]. given #387 (T,wt=7): 5522 member(c3,power_set(A)) | -empty(range_of(c4)). [resolve(1277,b,206,a)]. given #388 (T,wt=7): 5544 -member(A,c3) | member(A,range_of(c4)). [resolve(5518,a,214,c)]. given #389 (T,wt=8): 5562 member(f24(c3),range_of(c4)) | empty(range_of(c4)). [resolve(5544,a,1202,b)]. given #390 (A,wt=15): 331 member(f7(A,B),A) | member(f8(A,B),B) | -member(f8(A,B),A). [factor(323,b,c)]. given #391 (T,wt=8): 5566 member(f24(c3),range_of(c4)) | empty(f6(c3)). [resolve(5544,a,1066,b)]. given #392 (T,wt=6): 5650 empty(f6(c3)) | -empty(range_of(c4)). [resolve(5566,a,206,a)]. given #393 (T,wt=8): 5580 member(f22(c3),range_of(c4)) | ilf_type(c3,binary_relation_type). [resolve(5544,a,668,a)]. given #394 (T,wt=8): 5605 member(f24(c3),range_of(c4)) | ilf_type(c3,binary_relation_type). [resolve(5544,a,264,a)]. given #395 (A,wt=13): 337 subset(A,B) | member(f7(B,A),B) | member(f8(B,A),A). [resolve(240,b,234,a)]. given #396 (T,wt=9): 5545 member(c3,A) | -member(power_set(range_of(c4)),power_set(A)). [resolve(5518,a,214,a)]. given #397 (T,wt=9): 5554 member(f24(c3),range_of(c4)) | empty(f24(power_set(c3))). [resolve(5544,a,3706,b)]. given #398 (T,wt=7): 5724 empty(f24(power_set(c3))) | -empty(range_of(c4)). [resolve(5554,a,206,a)]. given #399 (T,wt=9): 5555 member(f24(c3),range_of(c4)) | empty(f16(power_set(c3))). [resolve(5544,a,3631,b)]. given #400 (A,wt=13): 338 subset(A,B) | member(f7(A,B),A) | member(f8(A,B),B). [resolve(240,b,234,a(flip))]. given #401 (T,wt=7): 5749 empty(f16(power_set(c3))) | -empty(range_of(c4)). [resolve(5555,a,206,a)]. given #402 (T,wt=9): 5556 member(f24(c3),range_of(c4)) | empty(f23(power_set(c3))). [resolve(5544,a,3556,b)]. given #403 (T,wt=7): 5775 empty(f23(power_set(c3))) | -empty(range_of(c4)). [resolve(5556,a,206,a)]. given #404 (T,wt=9): 5557 member(f24(c3),range_of(c4)) | empty(f6(f6(c3))). [resolve(5544,a,2587,b)]. given #405 (A,wt=11): 339 A = B | -subset(A,B) | member(f13(B,A),B). [resolve(242,b,221,a)]. given #406 (T,wt=7): 5800 empty(f6(f6(c3))) | -empty(range_of(c4)). [resolve(5557,a,206,a)]. given #407 (T,wt=9): 5558 member(f24(c3),range_of(c4)) | empty(f6(range_of(c4))). [resolve(5544,a,2460,b)]. given #408 (T,wt=9): 5559 member(f24(c3),range_of(c4)) | ilf_type(range_of(c4),binary_relation_type). [resolve(5544,a,2022,b)]. given #409 (T,wt=9): 5560 member(f24(c3),range_of(c4)) | ilf_type(f6(c3),binary_relation_type). [resolve(5544,a,1942,b)]. given #410 (A,wt=11): 340 A = B | -subset(B,A) | member(f13(A,B),A). [resolve(242,c,221,a)]. given #411 (T,wt=7): 5867 ilf_type(f6(c3),binary_relation_type) | -empty(range_of(c4)). [resolve(5560,a,206,a)]. given #412 (T,wt=9): 5582 member(f23(f6(c3)),range_of(c4)) | empty(f6(c3)). [resolve(5544,a,645,a)]. given #413 (T,wt=9): 5584 member(f24(f6(c3)),range_of(c4)) | empty(f6(c3)). [resolve(5544,a,642,a)]. given #414 (T,wt=9): 5585 member(f16(f6(c3)),range_of(c4)) | empty(f6(c3)). [resolve(5544,a,641,a)]. given #415 (A,wt=11): 341 domain(A,B,f5(B,A)) = domain_of(f5(B,A)). [resolve(243,a,204,a)]. given #416 (T,wt=9): 5604 member(f24(c3),range_of(c4)) | member(c3,power_set(A)). [resolve(5544,a,285,b)]. given #417 (T,wt=9): 5625 empty(range_of(c4)) | ilf_type(f24(c3),member_type(range_of(c4))). [resolve(5562,a,212,c),merge(b)]. given #418 (T,wt=9): 5651 empty(f6(c3)) | member(f24(range_of(c4)),range_of(c4)). [resolve(5566,a,205,a)]. given #419 (T,wt=8): 5991 empty(f6(c3)) | member(f24(range_of(c4)),c3). [resolve(5651,b,525,a)]. given #420 (A,wt=11): 343 range(A,B,f5(B,A)) = range_of(f5(B,A)). [resolve(243,a,202,a)]. given #421 (T,wt=10): 1359 empty(c4) | member(f24(cross_product(c2,c3)),cross_product(c2,c3)). [resolve(716,a,205,a)]. given #422 (T,wt=10): 1480 empty(c3) | empty(c2) | ilf_type(f24(domain_of(c4)),member_type(c2)). [resolve(1453,b,212,c)]. given #423 (T,wt=10): 1499 empty(c3) | member(f24(cross_product(c2,c3)),cross_product(c2,c3)). [resolve(1181,a,205,a)]. given #424 (T,wt=10): 1626 member(f24(c4),c4) | -member(A,c3) | member(A,B). [resolve(1294,a,214,c)]. given #425 (A,wt=21): 351 ordered_pair(A,B) = C | member(f7(ordered_pair(A,B),C),ordered_pair(A,B)) | member(f8(ordered_pair(A,B),C),C). [back_rewrite(349),rewrite(350(3))]. given #426 (T,wt=10): 1633 member(c3,power_set(A)) | member(f24(c4),cross_product(c2,c3)). [resolve(1294,b,680,a)]. given #427 (T,wt=8): 6198 member(c3,power_set(A)) | -empty(cross_product(c2,c3)). [resolve(1633,b,206,a)]. given #428 (T,wt=10): 1750 member(f14(A,B),A) | ilf_type(A,binary_relation_type) | -empty(B). [resolve(296,a,206,a)]. given #429 (T,wt=10): 1875 member(f13(power_set(A),B),power_set(A)) | member(A,B). [resolve(297,b,279,a)]. given #430 (A,wt=13): 352 member(f3(A,B),A) | member(f4(A,B),B) | subset(A,B). [resolve(250,c,241,b)]. given #431 (T,wt=9): 6233 member(A,A) | -member(A,f13(power_set(A),A)). [factor(6226,a,c)]. given #432 (T,wt=10): 1947 ilf_type(f6(c4),binary_relation_type) | member(f24(c4),cross_product(c2,c3)). [resolve(1942,b,680,a)]. given #433 (T,wt=8): 6265 ilf_type(f6(c4),binary_relation_type) | -empty(cross_product(c2,c3)). [resolve(1947,b,206,a)]. given #434 (T,wt=10): 1948 ilf_type(f6(domain_of(c4)),binary_relation_type) | member(f24(domain_of(c4)),c2). [resolve(1942,b,552,a)]. given #435 (A,wt=13): 353 member(f3(A,B),A) | member(f4(A,B),B) | subset(B,A). [resolve(250,c,240,b)]. given #436 (T,wt=7): 6290 ilf_type(f6(domain_of(c4)),binary_relation_type) | -empty(c2). [resolve(1948,b,206,a)]. given #437 (T,wt=9): 6291 ilf_type(f6(domain_of(c4)),binary_relation_type) | member(f24(c2),c2). [resolve(1948,b,205,a)]. given #438 (T,wt=10): 1949 ilf_type(f6(range_of(c4)),binary_relation_type) | member(f24(range_of(c4)),c3). [resolve(1942,b,525,a)]. given #439 (T,wt=7): 6339 ilf_type(f6(range_of(c4)),binary_relation_type) | -empty(c3). [resolve(1949,b,206,a)]. given #440 (A,wt=16): 354 member(f3(A,B),A) | member(f4(A,B),B) | member(C,A) | -member(C,B). [resolve(250,c,231,c)]. given #441 (T,wt=9): 6340 ilf_type(f6(range_of(c4)),binary_relation_type) | member(f24(c3),c3). [resolve(1949,b,205,a)]. given #442 (T,wt=10): 1950 ilf_type(f6(f6(A)),binary_relation_type) | member(f24(f6(A)),A). [resolve(1942,b,479,a)]. given #443 (T,wt=7): 6608 ilf_type(f6(f6(A)),binary_relation_type) | -empty(A). [resolve(1950,b,206,a)]. given #444 (T,wt=9): 6609 ilf_type(f6(f6(A)),binary_relation_type) | member(f24(A),A). [resolve(1950,b,205,a)]. given #445 (A,wt=16): 355 member(f3(A,B),A) | member(f4(A,B),B) | member(C,B) | -member(C,A). [resolve(250,c,226,c)]. given #446 (T,wt=10): 2229 -member(A,f5(B,C)) | member(A,cross_product(C,B)). [resolve(2215,a,214,c)]. given #447 (T,wt=10): 2670 empty(f6(f6(c4))) | member(f24(c4),cross_product(c2,c3)). [resolve(2587,b,680,a)]. given #448 (T,wt=8): 6921 empty(f6(f6(c4))) | -empty(cross_product(c2,c3)). [resolve(2670,b,206,a)]. given #449 (T,wt=10): 2671 empty(f6(f6(domain_of(c4)))) | member(f24(domain_of(c4)),c2). [resolve(2587,b,552,a)]. given #450 (A,wt=31): 356 member(f3(ordered_pair(A,B),f22(C)),ordered_pair(A,B)) | member(f4(ordered_pair(A,B),f22(C)),f22(C)) | -member(D,C) | ordered_pair(f20(C,D),f21(C,D)) = D. [resolve(250,c,208,c)]. given #451 (T,wt=7): 6948 empty(f6(f6(domain_of(c4)))) | -empty(c2). [resolve(2671,b,206,a)]. given #452 (T,wt=9): 6949 empty(f6(f6(domain_of(c4)))) | member(f24(c2),c2). [resolve(2671,b,205,a)]. given #453 (T,wt=10): 2672 empty(f6(f6(range_of(c4)))) | member(f24(range_of(c4)),c3). [resolve(2587,b,525,a)]. given #454 (T,wt=7): 7189 empty(f6(f6(range_of(c4)))) | -empty(c3). [resolve(2672,b,206,a)]. given #455 (A,wt=31): 357 member(f3(ordered_pair(A,B),f17(C)),ordered_pair(A,B)) | member(f4(ordered_pair(A,B),f17(C)),f17(C)) | -member(D,C) | ordered_pair(f18(C,D),f19(C,D)) = D. [resolve(250,c,127,c)]. given #456 (T,wt=9): 7190 empty(f6(f6(range_of(c4)))) | member(f24(c3),c3). [resolve(2672,b,205,a)]. given #457 (T,wt=10): 2673 empty(f6(f6(f6(A)))) | member(f24(f6(A)),A). [resolve(2587,b,479,a)]. given #458 (T,wt=7): 7431 empty(f6(f6(f6(A)))) | -empty(A). [resolve(2673,b,206,a)]. given #459 (T,wt=9): 7432 empty(f6(f6(f6(A)))) | member(f24(A),A). [resolve(2673,b,205,a)]. given #460 (A,wt=22): 358 member(f3(ordered_pair(A,B),f17(C)),ordered_pair(A,B)) | member(f4(ordered_pair(A,B),f17(C)),f17(C)) | ilf_type(C,binary_relation_type). [resolve(250,c,121,a)]. given #461 (T,wt=10): 2810 -member(A,domain_of(f6(cross_product(B,C)))) | member(A,B). [resolve(2793,a,214,c)]. given #462 (T,wt=10): 2831 -member(A,range_of(f6(cross_product(B,C)))) | member(A,C). [resolve(2816,a,214,c)]. given #463 (T,wt=10): 2899 ilf_type(domain_of(f16(power_set(cross_product(A,B)))),member_type(power_set(A))). [resolve(1720,a,237,b)]. given #464 (T,wt=9): 7625 member(domain_of(f16(power_set(cross_product(A,B)))),power_set(A)). [resolve(2899,a,211,c),unit_del(a,213)]. given #465 (A,wt=31): 359 member(f3(f22(A),ordered_pair(B,C)),f22(A)) | member(f4(f22(A),ordered_pair(B,C)),ordered_pair(B,C)) | -member(D,A) | ordered_pair(f20(A,D),f21(A,D)) = D. [resolve(250,c,208,c(flip))]. given #466 (T,wt=10): 2900 ilf_type(domain_of(f16(power_set(cross_product(cross_product(A,B),C)))),binary_relation_type). [resolve(1720,a,129,a)]. given #467 (T,wt=10): 2904 ilf_type(range_of(f16(power_set(cross_product(A,B)))),member_type(power_set(B))). [resolve(1722,a,237,b)]. given #468 (T,wt=9): 7853 member(range_of(f16(power_set(cross_product(A,B)))),power_set(B)). [resolve(2904,a,211,c),unit_del(a,213)]. given #469 (T,wt=10): 2905 ilf_type(range_of(f16(power_set(cross_product(A,cross_product(B,C))))),binary_relation_type). [resolve(1722,a,129,a)]. given #470 (A,wt=31): 360 member(f3(f17(A),ordered_pair(B,C)),f17(A)) | member(f4(f17(A),ordered_pair(B,C)),ordered_pair(B,C)) | -member(D,A) | ordered_pair(f18(A,D),f19(A,D)) = D. [resolve(250,c,127,c(flip))]. given #471 (T,wt=10): 2945 ilf_type(domain_of(f23(power_set(cross_product(A,B)))),member_type(power_set(A))). [resolve(1904,a,237,b)]. given #472 (T,wt=9): 8052 member(domain_of(f23(power_set(cross_product(A,B)))),power_set(A)). [resolve(2945,a,211,c),unit_del(a,213)]. given #473 (T,wt=10): 2946 ilf_type(domain_of(f23(power_set(cross_product(cross_product(A,B),C)))),binary_relation_type). [resolve(1904,a,129,a)]. given #474 (T,wt=10): 2950 ilf_type(range_of(f23(power_set(cross_product(A,B)))),member_type(power_set(B))). [resolve(1906,a,237,b)]. given #475 (A,wt=22): 361 member(f3(f17(A),ordered_pair(B,C)),f17(A)) | member(f4(f17(A),ordered_pair(B,C)),ordered_pair(B,C)) | ilf_type(A,binary_relation_type). [resolve(250,c,121,a(flip))]. given #476 (T,wt=9): 8087 member(range_of(f23(power_set(cross_product(A,B)))),power_set(B)). [resolve(2950,a,211,c),unit_del(a,213)]. given #477 (T,wt=10): 2951 ilf_type(range_of(f23(power_set(cross_product(A,cross_product(B,C))))),binary_relation_type). [resolve(1906,a,129,a)]. given #478 (T,wt=10): 2955 ilf_type(domain_of(f24(power_set(cross_product(A,B)))),member_type(power_set(A))). [resolve(1910,a,237,b)]. given #479 (T,wt=9): 8162 member(domain_of(f24(power_set(cross_product(A,B)))),power_set(A)). [resolve(2955,a,211,c),unit_del(a,213)]. given #480 (A,wt=15): 362 member(f3(A,B),A) | member(f4(A,B),B) | -member(f3(A,B),B). [factor(354,a,c)]. given #481 (T,wt=10): 2956 ilf_type(domain_of(f24(power_set(cross_product(cross_product(A,B),C)))),binary_relation_type). [resolve(1910,a,129,a)]. given #482 (T,wt=10): 2962 ilf_type(range_of(f24(power_set(cross_product(A,B)))),member_type(power_set(B))). [resolve(1912,a,237,b)]. given #483 (T,wt=9): 8197 member(range_of(f24(power_set(cross_product(A,B)))),power_set(B)). [resolve(2962,a,211,c),unit_del(a,213)]. given #484 (T,wt=10): 2963 ilf_type(range_of(f24(power_set(cross_product(A,cross_product(B,C))))),binary_relation_type). [resolve(1912,a,129,a)]. given #485 (A,wt=15): 363 member(f3(A,B),A) | member(f4(A,B),B) | -member(f4(A,B),A). [factor(355,b,c)]. given #486 (T,wt=10): 2996 unordered_pair(singleton(A),unordered_pair(A,B)) = ordered_pair(A,B). [para(350(a,1),239(a,1)),flip(a)]. given #487 (T,wt=10): 2997 unordered_pair(unordered_pair(A,B),singleton(B)) = ordered_pair(B,A). [para(239(a,1),350(a,1,1))]. given #488 (T,wt=10): 3126 empty(c3) | empty(c2) | ilf_type(f25(f24(c3)),member_type(c2)). [resolve(3096,b,212,c)]. given #489 (T,wt=10): 3228 empty(c3) | empty(c2) | ilf_type(f25(f16(c3)),member_type(c2)). [resolve(3198,b,212,c)]. given #490 (A,wt=21): 364 -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,f15(range_of(A),B)),f15(range_of(A),B)),A) | member(range_of(A),power_set(B)). [resolve(254,c,216,b)]. given #491 (T,wt=10): 3341 ilf_type(domain_of(domain_of(f5(A,cross_product(B,C)))),subset_type(B)). [resolve(565,a,203,a),rewrite(3340(4))]. given #492 (T,wt=10): 3343 ilf_type(range_of(domain_of(f5(A,cross_product(B,C)))),subset_type(C)). [resolve(565,a,201,a),rewrite(3342(4))]. given #493 (T,wt=10): 3429 ilf_type(domain_of(range_of(f5(cross_product(A,B),C))),subset_type(A)). [resolve(569,a,203,a),rewrite(3428(4))]. given #494 (T,wt=10): 3431 ilf_type(range_of(range_of(f5(cross_product(A,B),C))),subset_type(B)). [resolve(569,a,201,a),rewrite(3430(4))]. given #495 (A,wt=17): 365 -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,f23(range_of(A))),f23(range_of(A))),A) | empty(range_of(A)). [resolve(254,c,207,b)]. given #496 (T,wt=10): 3567 empty(f23(power_set(c4))) | member(f24(c4),cross_product(c2,c3)). [resolve(3556,b,680,a)]. given #497 (T,wt=8): 8322 empty(f23(power_set(c4))) | -empty(cross_product(c2,c3)). [resolve(3567,b,206,a)]. given #498 (T,wt=10): 3568 empty(f23(power_set(domain_of(c4)))) | member(f24(domain_of(c4)),c2). [resolve(3556,b,552,a)]. given #499 (T,wt=7): 8353 empty(f23(power_set(domain_of(c4)))) | -empty(c2). [resolve(3568,b,206,a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 1.01 sec). given #500 (A,wt=18): 366 -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,f17(range_of(A))),f17(range_of(A))),A) | ilf_type(range_of(A),binary_relation_type). [resolve(254,c,119,a)]. given #501 (T,wt=9): 8354 empty(f23(power_set(domain_of(c4)))) | member(f24(c2),c2). [resolve(3568,b,205,a)]. given #502 (T,wt=10): 3569 empty(f23(power_set(range_of(c4)))) | member(f24(range_of(c4)),c3). [resolve(3556,b,525,a)]. given #503 (T,wt=7): 8432 empty(f23(power_set(range_of(c4)))) | -empty(c3). [resolve(3569,b,206,a)]. given #504 (T,wt=9): 8433 empty(f23(power_set(range_of(c4)))) | member(f24(c3),c3). [resolve(3569,b,205,a)]. given #505 (A,wt=21): 370 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | member(f9(A,c4),A) | -member(f10(A,c4),A). [resolve(256,b,230,b)]. given #506 (T,wt=10): 3570 empty(f23(power_set(f6(A)))) | member(f24(f6(A)),A). [resolve(3556,b,479,a)]. given #507 (T,wt=7): 8523 empty(f23(power_set(f6(A)))) | -empty(A). [resolve(3570,b,206,a)]. given #508 (T,wt=9): 8524 empty(f23(power_set(f6(A)))) | member(f24(A),A). [resolve(3570,b,205,a)]. given #509 (T,wt=10): 3640 empty(f16(power_set(c4))) | member(f24(c4),cross_product(c2,c3)). [resolve(3631,b,680,a)]. given #510 (A,wt=21): 371 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | member(f9(A,c4),A) | member(f10(A,c4),c4). [resolve(256,b,229,b)]. given #511 (T,wt=8): 8604 empty(f16(power_set(c4))) | -empty(cross_product(c2,c3)). [resolve(3640,b,206,a)]. given #512 (T,wt=10): 3641 empty(f16(power_set(domain_of(c4)))) | member(f24(domain_of(c4)),c2). [resolve(3631,b,552,a)]. given #513 (T,wt=7): 8729 empty(f16(power_set(domain_of(c4)))) | -empty(c2). [resolve(3641,b,206,a)]. given #514 (T,wt=9): 8730 empty(f16(power_set(domain_of(c4)))) | member(f24(c2),c2). [resolve(3641,b,205,a)]. given #515 (A,wt=21): 372 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(f9(A,c4),c4) | -member(f10(A,c4),A). [resolve(256,b,228,b)]. given #516 (T,wt=10): 3642 empty(f16(power_set(range_of(c4)))) | member(f24(range_of(c4)),c3). [resolve(3631,b,525,a)]. given #517 (T,wt=7): 8790 empty(f16(power_set(range_of(c4)))) | -empty(c3). [resolve(3642,b,206,a)]. given #518 (T,wt=9): 8791 empty(f16(power_set(range_of(c4)))) | member(f24(c3),c3). [resolve(3642,b,205,a)]. given #519 (T,wt=10): 3643 empty(f16(power_set(f6(A)))) | member(f24(f6(A)),A). [resolve(3631,b,479,a)]. given #520 (A,wt=21): 373 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(f9(A,c4),c4) | member(f10(A,c4),c4). [resolve(256,b,227,b)]. given #521 (T,wt=7): 8879 empty(f16(power_set(f6(A)))) | -empty(A). [resolve(3643,b,206,a)]. given #522 (T,wt=9): 8880 empty(f16(power_set(f6(A)))) | member(f24(A),A). [resolve(3643,b,205,a)]. given #523 (T,wt=10): 3715 empty(f24(power_set(c4))) | member(f24(c4),cross_product(c2,c3)). [resolve(3706,b,680,a)]. given #524 (T,wt=8): 8960 empty(f24(power_set(c4))) | -empty(cross_product(c2,c3)). [resolve(3715,b,206,a)]. given #525 (A,wt=21): 374 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | member(f11(c4,A),c4) | -member(f12(c4,A),c4). [resolve(256,b,225,b)]. given #526 (T,wt=10): 3716 empty(f24(power_set(domain_of(c4)))) | member(f24(domain_of(c4)),c2). [resolve(3706,b,552,a)]. given #527 (T,wt=7): 8991 empty(f24(power_set(domain_of(c4)))) | -empty(c2). [resolve(3716,b,206,a)]. given #528 (T,wt=9): 8992 empty(f24(power_set(domain_of(c4)))) | member(f24(c2),c2). [resolve(3716,b,205,a)]. given #529 (T,wt=10): 3717 empty(f24(power_set(range_of(c4)))) | member(f24(range_of(c4)),c3). [resolve(3706,b,525,a)]. given #530 (A,wt=21): 375 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | member(f11(c4,A),c4) | member(f12(c4,A),A). [resolve(256,b,224,b)]. given #531 (T,wt=7): 9050 empty(f24(power_set(range_of(c4)))) | -empty(c3). [resolve(3717,b,206,a)]. given #532 (T,wt=9): 9051 empty(f24(power_set(range_of(c4)))) | member(f24(c3),c3). [resolve(3717,b,205,a)]. given #533 (T,wt=10): 3718 empty(f24(power_set(f6(A)))) | member(f24(f6(A)),A). [resolve(3706,b,479,a)]. given #534 (T,wt=7): 9260 empty(f24(power_set(f6(A)))) | -empty(A). [resolve(3718,b,206,a)]. given #535 (A,wt=21): 376 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(f11(c4,A),A) | -member(f12(c4,A),c4). [resolve(256,b,223,b)]. given #536 (T,wt=9): 9261 empty(f24(power_set(f6(A)))) | member(f24(A),A). [resolve(3718,b,205,a)]. given #537 (T,wt=10): 3744 ilf_type(domain_of(domain_of(cross_product(cross_product(A,B),C))),subset_type(A)). [resolve(722,a,203,a),rewrite(3743(4))]. given #538 (T,wt=10): 3746 ilf_type(range_of(domain_of(cross_product(cross_product(A,B),C))),subset_type(B)). [resolve(722,a,201,a),rewrite(3745(4))]. given #539 (T,wt=10): 3750 ilf_type(domain_of(range_of(cross_product(A,cross_product(B,C)))),subset_type(B)). [resolve(726,a,203,a),rewrite(3749(4))]. given #540 (A,wt=21): 377 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(f11(c4,A),A) | member(f12(c4,A),A). [resolve(256,b,222,b)]. given #541 (T,wt=10): 3752 ilf_type(range_of(range_of(cross_product(A,cross_product(B,C)))),subset_type(C)). [resolve(726,a,201,a),rewrite(3751(4))]. given #542 (T,wt=10): 3753 ilf_type(power_set(A),binary_relation_type) | ilf_type(f22(power_set(A)),subset_type(A)). [resolve(771,c,238,b),unit_del(b,213)]. given #543 (T,wt=10): 4016 member(f24(c2),c2) | ilf_type(domain_of(c4),member_type(power_set(A))). [resolve(3998,a,212,c),unit_del(b,213)]. given #544 (T,wt=8): 9367 ilf_type(domain_of(c4),member_type(power_set(A))) | -empty(c2). [resolve(4016,a,206,a)]. given #545 (A,wt=16): 378 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | member(f14(c4,A),c4). [resolve(256,b,218,a)]. given #546 (T,wt=10): 4229 member(f24(c3),c3) | ilf_type(range_of(c4),member_type(power_set(A))). [resolve(4071,a,212,c),unit_del(b,213)]. given #547 (T,wt=8): 9491 ilf_type(range_of(c4),member_type(power_set(A))) | -empty(c3). [resolve(4229,a,206,a)]. given #548 (T,wt=10): 4464 member(f24(A),A) | ilf_type(f6(A),member_type(power_set(B))). [resolve(4310,a,212,c),unit_del(b,213)]. given #549 (T,wt=8): 9541 ilf_type(f6(A),member_type(power_set(B))) | -empty(A). [resolve(4464,a,206,a)]. given #550 (A,wt=16): 379 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(f14(c4,A),A). [resolve(256,b,217,a)]. given #551 (T,wt=10): 5523 member(c3,power_set(A)) | member(f24(range_of(c4)),range_of(c4)). [resolve(1277,b,205,a)]. given #552 (T,wt=9): 9578 member(c3,power_set(A)) | member(f24(range_of(c4)),c3). [resolve(5523,b,525,a)]. given #553 (T,wt=10): 5543 member(c3,A) | -member(f14(power_set(range_of(c4)),A),A). [resolve(5518,a,217,a)]. given #554 (T,wt=10): 5552 member(f24(c3),range_of(c4)) | member(f6(c3),power_set(A)). [resolve(5544,a,4310,b)]. given #555 (A,wt=15): 380 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f17(c3)),f17(c3)),A) | -member(c4,power_set(A)). [resolve(256,b,214,a)]. given #556 (T,wt=8): 9695 member(f6(c3),power_set(A)) | -empty(range_of(c4)). [resolve(5552,a,206,a)]. given #557 (T,wt=10): 5553 member(f24(c3),range_of(c4)) | member(range_of(c4),power_set(A)). [resolve(5544,a,4071,b)]. given #558 (T,wt=10): 5561 member(f14(c3,A),range_of(c4)) | member(c3,power_set(A)). [resolve(5544,a,1526,a)]. given #559 (T,wt=10): 5565 member(f24(f6(c3)),range_of(c4)) | empty(f6(f6(c3))). [resolve(5544,a,1084,b)]. given #560 (A,wt=14): 381 ilf_type(c3,binary_relation_type) | empty(c4) | ilf_type(ordered_pair(f25(f17(c3)),f17(c3)),member_type(c4)). [resolve(256,b,212,c)]. given #561 (T,wt=10): 5573 member(f24(c3),range_of(c4)) | ilf_type(c3,member_type(power_set(A))). [resolve(5544,a,807,a)]. given #562 (T,wt=8): 9876 ilf_type(c3,member_type(power_set(A))) | -empty(range_of(c4)). [resolve(5573,a,206,a)]. given #563 (T,wt=10): 5576 member(f22(f6(c3)),range_of(c4)) | ilf_type(f6(c3),binary_relation_type). [resolve(5544,a,755,b)]. given #564 (T,wt=10): 5581 member(f17(f6(c3)),range_of(c4)) | ilf_type(f6(c3),binary_relation_type). [resolve(5544,a,646,a)]. given #565 (A,wt=31): 382 ilf_type(c3,binary_relation_type) | ordered_pair(f20(c4,ordered_pair(f25(f17(c3)),f17(c3))),f21(c4,ordered_pair(f25(f17(c3)),f17(c3)))) = ordered_pair(f25(f17(c3)),f17(c3)) | member(f22(c4),c4). [resolve(256,b,209,a)]. given #566 (T,wt=10): 5583 member(f24(f6(c3)),range_of(c4)) | ilf_type(f6(c3),binary_relation_type). [resolve(5544,a,643,a)]. given #567 (T,wt=10): 5725 empty(f24(power_set(c3))) | member(f24(range_of(c4)),range_of(c4)). [resolve(5554,a,205,a)]. given #568 (T,wt=9): 9993 empty(f24(power_set(c3))) | member(f24(range_of(c4)),c3). [resolve(5725,b,525,a)]. given #569 (T,wt=10): 5750 empty(f16(power_set(c3))) | member(f24(range_of(c4)),range_of(c4)). [resolve(5555,a,205,a)]. given #570 (A,wt=13): 388 member(f3(c3,range_of(c4)),c3) | member(f4(c3,range_of(c4)),range_of(c4)). [resolve(260,a,250,c)]. given #571 (T,wt=9): 10053 empty(f16(power_set(c3))) | member(f24(range_of(c4)),c3). [resolve(5750,b,525,a)]. given #572 (T,wt=9): 10111 member(f3(c3,range_of(c4)),c3) | -empty(range_of(c4)). [resolve(388,b,206,a)]. given #573 (T,wt=10): 5776 empty(f23(power_set(c3))) | member(f24(range_of(c4)),range_of(c4)). [resolve(5556,a,205,a)]. given #574 (T,wt=9): 10146 empty(f23(power_set(c3))) | member(f24(range_of(c4)),c3). [resolve(5776,b,525,a)]. given #575 (A,wt=13): 389 member(f7(c3,range_of(c4)),c3) | member(f8(c3,range_of(c4)),range_of(c4)). [resolve(260,a,234,a)]. given #576 (T,wt=9): 10234 member(f7(c3,range_of(c4)),c3) | -empty(range_of(c4)). [resolve(389,b,206,a)]. given #577 (T,wt=10): 5801 empty(f6(f6(c3))) | member(f24(range_of(c4)),range_of(c4)). [resolve(5557,a,205,a)]. given #578 (T,wt=9): 10239 empty(f6(f6(c3))) | member(f24(range_of(c4)),c3). [resolve(5801,b,525,a)]. given #579 (T,wt=10): 5868 ilf_type(f6(c3),binary_relation_type) | member(f24(range_of(c4)),range_of(c4)). [resolve(5560,a,205,a)]. given #580 (A,wt=13): 390 member(f3(range_of(c4),c3),range_of(c4)) | member(f4(range_of(c4),c3),c3). [resolve(260,a,250,c(flip))]. given #581 (T,wt=9): 10299 ilf_type(f6(c3),binary_relation_type) | member(f24(range_of(c4)),c3). [resolve(5868,b,525,a)]. given #582 (T,wt=9): 10357 member(f3(range_of(c4),c3),range_of(c4)) | -empty(c3). [resolve(390,b,206,a)]. given #583 (T,wt=10): 6203 member(f24(c4),cross_product(c2,c3)) | -member(f24(c4),c3). [factor(6172,a,c)]. given #584 (T,wt=10): 6538 ilf_type(f6(range_of(c4)),binary_relation_type) | member(f24(c3),range_of(c4)). [resolve(6340,b,5544,a)]. given #585 (A,wt=13): 391 member(f7(range_of(c4),c3),range_of(c4)) | member(f8(range_of(c4),c3),c3). [resolve(260,a,234,a(flip))]. given #586 (T,wt=9): 10450 member(f7(range_of(c4),c3),range_of(c4)) | -empty(c3). [resolve(391,b,206,a)]. given #587 (T,wt=10): 6614 ilf_type(f6(f6(c3)),binary_relation_type) | member(f24(c3),range_of(c4)). [resolve(6609,b,5544,a)]. given #588 (T,wt=8): 10482 ilf_type(f6(f6(c3)),binary_relation_type) | -empty(range_of(c4)). [resolve(6614,b,206,a)]. given #589 (T,wt=10): 7354 empty(f6(f6(range_of(c4)))) | member(f24(c3),range_of(c4)). [resolve(7190,b,5544,a)]. given #590 (A,wt=13): 392 -ilf_type(power_set(ordered_pair(A,B)),binary_relation_type) | member(B,range_of(power_set(ordered_pair(A,B)))). [resolve(279,a,255,c)]. given #591 (T,wt=10): 7437 empty(f6(f6(f6(c3)))) | member(f24(c3),range_of(c4)). [resolve(7432,b,5544,a)]. given #592 (T,wt=8): 10548 empty(f6(f6(f6(c3)))) | -empty(range_of(c4)). [resolve(7437,b,206,a)]. given #593 (T,wt=10): 8232 unordered_pair(singleton(A),unordered_pair(B,A)) = ordered_pair(A,B). [para(239(a,1),2996(a,1,2))]. given #594 (T,wt=10): 8438 empty(f23(power_set(range_of(c4)))) | member(f24(c3),range_of(c4)). [resolve(8433,b,5544,a)]. given #595 (A,wt=19): 393 -ilf_type(power_set(ordered_pair(A,B)),binary_relation_type) | member(ordered_pair(f2(power_set(ordered_pair(A,B)),B),B),power_set(ordered_pair(A,B))). [resolve(279,a,253,c)]. given #596 (T,wt=10): 8529 empty(f23(power_set(f6(c3)))) | member(f24(c3),range_of(c4)). [resolve(8524,b,5544,a)]. given #597 (T,wt=8): 10614 empty(f23(power_set(f6(c3)))) | -empty(range_of(c4)). [resolve(8529,b,206,a)]. given #598 (T,wt=10): 8796 empty(f16(power_set(range_of(c4)))) | member(f24(c3),range_of(c4)). [resolve(8791,b,5544,a)]. given #599 (T,wt=10): 8885 empty(f16(power_set(f6(c3)))) | member(f24(c3),range_of(c4)). [resolve(8880,b,5544,a)]. given #600 (A,wt=13): 394 -ilf_type(power_set(ordered_pair(A,B)),binary_relation_type) | member(A,domain_of(power_set(ordered_pair(A,B)))). [resolve(279,a,252,b)]. given #601 (T,wt=8): 10674 empty(f16(power_set(f6(c3)))) | -empty(range_of(c4)). [resolve(8885,b,206,a)]. given #602 (T,wt=10): 9177 empty(f24(power_set(range_of(c4)))) | member(f24(c3),range_of(c4)). [resolve(9051,b,5544,a)]. given #603 (T,wt=10): 9266 empty(f24(power_set(f6(c3)))) | member(f24(c3),range_of(c4)). [resolve(9261,b,5544,a)]. given #604 (T,wt=8): 10740 empty(f24(power_set(f6(c3)))) | -empty(range_of(c4)). [resolve(9266,b,206,a)]. given #605 (A,wt=15): 395 member(A,B) | member(f9(B,power_set(A)),B) | -member(f10(B,power_set(A)),B). [resolve(279,a,230,b)]. given #606 (T,wt=10): 9426 ilf_type(c3,binary_relation_type) | member(f14(c4,A),c4) | -empty(A). [resolve(378,b,206,a)]. given #607 (T,wt=10): 9633 member(f24(range_of(c4)),c3) | ilf_type(c3,member_type(power_set(A))). [resolve(9578,a,212,c),unit_del(b,213)]. given #608 (T,wt=10): 9729 member(f24(c3),range_of(c4)) | -member(f24(c3),f6(c3)). [factor(9723,a,c)]. given #609 (T,wt=11): 426 empty(A) | member(f24(A),B) | member(f14(A,B),A). [resolve(265,b,218,a)]. given #610 (A,wt=16): 396 member(A,B) | member(f9(B,power_set(A)),B) | member(f10(B,power_set(A)),power_set(A)). [resolve(279,a,229,b)]. given #611 (T,wt=11): 427 empty(A) | member(f24(A),B) | -member(f14(A,B),B). [resolve(265,b,217,a)]. given #612 (T,wt=11): 445 empty(A) | member(f16(A),B) | member(f14(A,B),A). [resolve(272,b,218,a)]. given #613 (T,wt=11): 446 empty(A) | member(f16(A),B) | -member(f14(A,B),B). [resolve(272,b,217,a)]. given #614 (T,wt=11): 466 ilf_type(A,binary_relation_type) | member(f24(A),B) | -member(A,power_set(B)). [resolve(264,a,214,a)]. given #615 (A,wt=16): 397 member(A,B) | -member(f9(B,power_set(A)),power_set(A)) | -member(f10(B,power_set(A)),B). [resolve(279,a,228,b)]. given #616 (T,wt=11): 468 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f24(c3)),f24(c3)),c4). [resolve(264,a,116,a)]. given #617 (T,wt=9): 11126 ilf_type(c3,binary_relation_type) | member(f25(f24(c3)),domain_of(c4)). [resolve(468,b,252,b),unit_del(b,489)]. given #618 (T,wt=8): 11144 ilf_type(c3,binary_relation_type) | member(f25(f24(c3)),c2). [resolve(11126,b,552,a)]. given #619 (T,wt=11): 477 member(f6(A),B) | member(f14(power_set(A),B),power_set(A)). [resolve(454,a,218,a)]. given #620 (A,wt=17): 398 member(A,B) | -member(f9(B,power_set(A)),power_set(A)) | member(f10(B,power_set(A)),power_set(A)). [resolve(279,a,227,b)]. given #621 (T,wt=9): 11258 member(f14(power_set(A),B),power_set(A)) | -empty(B). [resolve(477,a,206,a)]. given #622 (T,wt=11): 507 member(f24(power_set(A)),B) | -member(f14(power_set(A),B),B). [resolve(408,a,217,a)]. given #623 (T,wt=11): 523 member(range_of(c4),A) | member(f14(power_set(c3),A),power_set(c3)). [resolve(514,a,218,a)]. given #624 (T,wt=11): 550 member(domain_of(c4),A) | member(f14(power_set(c2),A),power_set(c2)). [resolve(531,a,218,a)]. given #625 (A,wt=17): 399 member(A,B) | member(f11(power_set(A),B),power_set(A)) | -member(f12(power_set(A),B),power_set(A)). [resolve(279,a,225,b)]. given #626 (T,wt=11): 582 ilf_type(c3,binary_relation_type) | member(f24(c4),A) | -member(c4,power_set(A)). [resolve(384,b,214,a)]. given #627 (T,wt=11): 587 domain(A,B,cross_product(A,B)) = domain_of(cross_product(A,B)). [resolve(415,a,204,a)]. given #628 (T,wt=11): 589 range(A,B,cross_product(A,B)) = range_of(cross_product(A,B)). [resolve(415,a,202,a)]. given #629 (T,wt=11): 592 empty(c3) | member(ordered_pair(f2(c4,f23(c3)),f23(c3)),c4). [resolve(269,b,253,c),unit_del(b,489)]. Low Water (keep, True_semantics): wt=48 given #630 (A,wt=16): 400 member(A,B) | member(f11(power_set(A),B),power_set(A)) | member(f12(power_set(A),B),B). [resolve(279,a,224,b)]. Low Water (keep, True_semantics): wt=47 given #631 (T,wt=9): 11508 empty(c3) | member(f2(c4,f23(c3)),domain_of(c4)). [resolve(592,b,252,b),unit_del(b,489)]. given #632 (T,wt=8): 11591 empty(c3) | member(f2(c4,f23(c3)),c2). [resolve(11508,b,552,a)]. given #633 (T,wt=11): 620 empty(c3) | member(f24(c4),A) | member(f14(c4,A),c4). [resolve(608,b,218,a)]. given #634 (T,wt=9): 11703 empty(c3) | member(f14(c4,A),c4) | -empty(A). [resolve(620,b,206,a)]. given #635 (A,wt=16): 401 member(A,B) | -member(f11(power_set(A),B),B) | -member(f12(power_set(A),B),power_set(A)). [resolve(279,a,223,b)]. given #636 (T,wt=11): 621 empty(c3) | member(f24(c4),A) | -member(f14(c4,A),A). [resolve(608,b,217,a)]. given #637 (T,wt=11): 644 member(f15(f6(A),B),A) | member(f6(A),power_set(B)). [resolve(479,a,216,b)]. given #638 (T,wt=11): 657 member(f16(power_set(A)),B) | -member(f14(power_set(A),B),B). [resolve(647,a,217,a)]. given #639 (T,wt=11): 679 member(c4,A) | -member(f14(power_set(cross_product(c2,c3)),A),A). [resolve(669,a,217,a)]. given #640 (A,wt=15): 402 member(A,B) | -member(f11(power_set(A),B),B) | member(f12(power_set(A),B),B). [resolve(279,a,222,b)]. given #641 (T,wt=11): 689 member(f15(range_of(c4),A),c3) | member(range_of(c4),power_set(A)). [resolve(525,a,216,b)]. given #642 (T,wt=11): 696 member(f15(domain_of(c4),A),c2) | member(domain_of(c4),power_set(A)). [resolve(552,a,216,b)]. given #643 (T,wt=11): 709 member(f23(power_set(A)),B) | -member(f14(power_set(A),B),B). [resolve(699,a,217,a)]. given #644 (T,wt=11): 729 empty(c3) | member(ordered_pair(f1(c4,f23(c3)),f23(c3)),c4). [resolve(591,b,254,c),unit_del(b,489)]. given #645 (A,wt=17): 407 ordered_pair(f20(power_set(A),A),f21(power_set(A),A)) = A | member(f22(power_set(A)),power_set(A)). [resolve(279,a,209,a)]. given #646 (T,wt=9): 11876 empty(c3) | member(f1(c4,f23(c3)),domain_of(c4)). [resolve(729,b,252,b),unit_del(b,489)]. Low Water (keep, True_semantics): wt=44 given #647 (T,wt=8): 11918 empty(c3) | member(f1(c4,f23(c3)),c2). [resolve(11876,b,552,a)]. given #648 (T,wt=11): 740 empty(c3) | member(f23(c3),A) | -member(range_of(c4),power_set(A)). [resolve(591,b,214,a)]. given #649 (T,wt=11): 741 empty(c3) | empty(range_of(c4)) | ilf_type(f23(c3),member_type(range_of(c4))). [resolve(591,b,212,c)]. given #650 (A,wt=18): 409 -ilf_type(power_set(A),subset_type(cross_product(B,C))) | ordered_pair(f18(power_set(A),A),f19(power_set(A),A)) = A. [resolve(279,a,131,b)]. given #651 (T,wt=11): 748 member(f17(f23(power_set(A))),A) | ilf_type(f23(power_set(A)),binary_relation_type). [resolve(276,b,699,a)]. given #652 (T,wt=7): 12024 ilf_type(f23(power_set(A)),binary_relation_type) | -empty(A). [resolve(748,a,206,a)]. given #653 (T,wt=9): 12025 ilf_type(f23(power_set(A)),binary_relation_type) | member(f24(A),A). [resolve(748,a,205,a)]. given #654 (T,wt=10): 12030 ilf_type(f23(power_set(c3)),binary_relation_type) | member(f24(c3),range_of(c4)). [resolve(12025,b,5544,a)]. given #655 (A,wt=17): 410 ordered_pair(f18(power_set(A),A),f19(power_set(A),A)) = A | member(f17(power_set(A)),power_set(A)). [resolve(279,a,125,a)]. Low Water (keep, True_semantics): wt=43 given #656 (T,wt=8): 12105 ilf_type(f23(power_set(c3)),binary_relation_type) | -empty(range_of(c4)). [resolve(12030,b,206,a)]. given #657 (T,wt=11): 749 member(f17(f16(power_set(A))),A) | ilf_type(f16(power_set(A)),binary_relation_type). [resolve(276,b,647,a)]. given #658 (T,wt=7): 12185 ilf_type(f16(power_set(A)),binary_relation_type) | -empty(A). [resolve(749,a,206,a)]. given #659 (T,wt=9): 12186 ilf_type(f16(power_set(A)),binary_relation_type) | member(f24(A),A). [resolve(749,a,205,a)]. given #660 (A,wt=15): 411 ordered_pair(f18(power_set(A),A),f19(power_set(A),A)) = A | -ilf_type(power_set(A),binary_relation_type). [resolve(279,a,123,a)]. given #661 (T,wt=10): 12191 ilf_type(f16(power_set(c3)),binary_relation_type) | member(f24(c3),range_of(c4)). [resolve(12186,b,5544,a)]. given #662 (T,wt=8): 12266 ilf_type(f16(power_set(c3)),binary_relation_type) | -empty(range_of(c4)). [resolve(12191,b,206,a)]. given #663 (T,wt=11): 750 member(f17(f24(power_set(A))),A) | ilf_type(f24(power_set(A)),binary_relation_type). [resolve(276,b,408,a)]. Low Water (keep, True_semantics): wt=42 given #664 (T,wt=7): 12316 ilf_type(f24(power_set(A)),binary_relation_type) | -empty(A). [resolve(750,a,206,a)]. given #665 (A,wt=17): 417 empty(range_of(A)) | -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,f24(range_of(A))),f24(range_of(A))),A). [resolve(265,b,254,c)]. given #666 (T,wt=9): 12317 ilf_type(f24(power_set(A)),binary_relation_type) | member(f24(A),A). [resolve(750,a,205,a)]. given #667 (T,wt=10): 12334 ilf_type(f24(power_set(c3)),binary_relation_type) | member(f24(c3),range_of(c4)). [resolve(12317,b,5544,a)]. given #668 (T,wt=8): 12409 ilf_type(f24(power_set(c3)),binary_relation_type) | -empty(range_of(c4)). [resolve(12334,b,206,a)]. given #669 (T,wt=11): 770 ilf_type(A,binary_relation_type) | member(f22(A),B) | -member(A,power_set(B)). [resolve(668,a,214,a)]. given #670 (A,wt=16): 418 empty(A) | member(f24(A),B) | member(f9(B,A),B) | -member(f10(B,A),B). [resolve(265,b,230,b)]. given #671 (T,wt=11): 772 ilf_type(c3,binary_relation_type) | member(ordered_pair(f25(f22(c3)),f22(c3)),c4). [resolve(668,a,116,a)]. given #672 (T,wt=9): 12498 ilf_type(c3,binary_relation_type) | member(f25(f22(c3)),domain_of(c4)). [resolve(772,b,252,b),unit_del(b,489)]. given #673 (T,wt=8): 12516 ilf_type(c3,binary_relation_type) | member(f25(f22(c3)),c2). [resolve(12498,b,552,a)]. given #674 (T,wt=11): 773 member(f22(f23(power_set(A))),A) | ilf_type(f23(power_set(A)),binary_relation_type). [resolve(277,a,668,a)]. given #675 (A,wt=16): 419 empty(A) | member(f24(A),B) | member(f9(B,A),B) | member(f10(B,A),A). [resolve(265,b,229,b)]. given #676 (T,wt=11): 776 member(f24(f23(power_set(A))),A) | ilf_type(f23(power_set(A)),binary_relation_type). [resolve(277,a,264,a)]. given #677 (T,wt=11): 858 member(f22(f24(power_set(A))),A) | ilf_type(f24(power_set(A)),binary_relation_type). [resolve(428,a,668,a)]. given #678 (T,wt=11): 862 member(f24(f24(power_set(A))),A) | ilf_type(f24(power_set(A)),binary_relation_type). [resolve(428,a,264,a)]. given #679 (T,wt=11): 864 member(f22(f16(power_set(A))),A) | ilf_type(f16(power_set(A)),binary_relation_type). [resolve(447,a,668,a)]. given #680 (A,wt=16): 420 empty(A) | member(f24(A),B) | -member(f9(B,A),A) | -member(f10(B,A),B). [resolve(265,b,228,b)]. given #681 (T,wt=11): 868 member(f24(f16(power_set(A))),A) | ilf_type(f16(power_set(A)),binary_relation_type). [resolve(447,a,264,a)]. given #682 (T,wt=11): 889 member(c4,power_set(A)) | member(f15(c4,A),cross_product(c2,c3)). [resolve(281,c,669,a)]. given #683 (T,wt=11): 906 member(domain_of(f5(A,B)),C) | -member(power_set(B),power_set(C)). [resolve(891,a,214,a)]. given #684 (T,wt=11): 912 ilf_type(f15(power_set(A),B),member_type(power_set(A))) | member(A,B). [resolve(282,a,405,b),unit_del(a,213)]. given #685 (A,wt=16): 421 empty(A) | member(f24(A),B) | -member(f9(B,A),A) | member(f10(B,A),A). [resolve(265,b,227,b)]. given #686 (T,wt=10): 13140 ilf_type(f15(power_set(A),B),member_type(power_set(A))) | -empty(B). [resolve(912,b,206,a)]. given #687 (T,wt=11): 972 member(range_of(f5(A,B)),C) | -member(power_set(A),power_set(C)). [resolve(911,a,214,a)]. given #688 (T,wt=11): 1016 empty(c3) | member(f25(f23(c3)),A) | -member(c2,power_set(A)). [resolve(977,b,214,a)]. given #689 (T,wt=11): 1032 empty(c3) | member(f24(c2),A) | member(f14(c2,A),c2). [resolve(1020,b,218,a)]. Low Water (keep, True_semantics): wt=40 given #690 (A,wt=16): 422 empty(A) | member(f24(A),B) | member(f11(A,B),A) | -member(f12(A,B),A). [resolve(265,b,225,b)]. given #691 (T,wt=9): 13214 empty(c3) | member(f14(c2,A),c2) | -empty(A). [resolve(1032,b,206,a)]. given #692 (T,wt=11): 1033 empty(c3) | member(f24(c2),A) | -member(f14(c2,A),A). [resolve(1020,b,217,a)]. given #693 (T,wt=11): 1063 empty(f6(A)) | empty(A) | ilf_type(f16(f6(A)),member_type(A)). [resolve(641,a,212,c)]. given #694 (T,wt=11): 1085 empty(f6(f16(power_set(A)))) | member(f24(f16(power_set(A))),A). [resolve(1066,b,447,a)]. given #695 (A,wt=16): 423 empty(A) | member(f24(A),B) | member(f11(A,B),A) | member(f12(A,B),B). [resolve(265,b,224,b)]. given #696 (T,wt=7): 13295 empty(f6(f16(power_set(A)))) | -empty(A). [resolve(1085,b,206,a)]. given #697 (T,wt=9): 13296 empty(f6(f16(power_set(A)))) | member(f24(A),A). [resolve(1085,b,205,a)]. given #698 (T,wt=10): 13407 empty(f6(f16(power_set(c3)))) | member(f24(c3),range_of(c4)). [resolve(13296,b,5544,a)]. given #699 (T,wt=8): 13474 empty(f6(f16(power_set(c3)))) | -empty(range_of(c4)). [resolve(13407,b,206,a)]. given #700 (A,wt=16): 424 empty(A) | member(f24(A),B) | -member(f11(A,B),B) | -member(f12(A,B),A). [resolve(265,b,223,b)]. given #701 (T,wt=11): 1086 empty(f6(f24(power_set(A)))) | member(f24(f24(power_set(A))),A). [resolve(1066,b,428,a)]. given #702 (T,wt=7): 13528 empty(f6(f24(power_set(A)))) | -empty(A). [resolve(1086,b,206,a)]. given #703 (T,wt=9): 13529 empty(f6(f24(power_set(A)))) | member(f24(A),A). [resolve(1086,b,205,a)]. given #704 (T,wt=10): 13534 empty(f6(f24(power_set(c3)))) | member(f24(c3),range_of(c4)). [resolve(13529,b,5544,a)]. given #705 (A,wt=16): 425 empty(A) | member(f24(A),B) | -member(f11(A,B),B) | member(f12(A,B),B). [resolve(265,b,222,b)]. given #706 (T,wt=8): 13601 empty(f6(f24(power_set(c3)))) | -empty(range_of(c4)). [resolve(13534,b,206,a)]. given #707 (T,wt=11): 1089 empty(f6(f23(power_set(A)))) | member(f24(f23(power_set(A))),A). [resolve(1066,b,277,a)]. given #708 (T,wt=7): 13655 empty(f6(f23(power_set(A)))) | -empty(A). [resolve(1089,b,206,a)]. given #709 (T,wt=9): 13656 empty(f6(f23(power_set(A)))) | member(f24(A),A). [resolve(1089,b,205,a)]. given #710 (A,wt=18): 431 empty(A) | ordered_pair(f20(A,f24(A)),f21(A,f24(A))) = f24(A) | member(f22(A),A). [resolve(265,b,209,a)]. Low Water (keep, True_semantics): wt=39 given #711 (T,wt=10): 13661 empty(f6(f23(power_set(c3)))) | member(f24(c3),range_of(c4)). [resolve(13656,b,5544,a)]. given #712 (T,wt=8): 13740 empty(f6(f23(power_set(c3)))) | -empty(range_of(c4)). [resolve(13661,b,206,a)]. given #713 (T,wt=11): 1101 empty(f6(A)) | member(f24(A),B) | -member(A,power_set(B)). [resolve(1066,b,214,a)]. given #714 (T,wt=11): 1106 empty(f6(c3)) | member(ordered_pair(f25(f24(c3)),f24(c3)),c4). [resolve(1066,b,116,a)]. given #715 (A,wt=20): 432 empty(A) | -ilf_type(A,subset_type(cross_product(B,C))) | ordered_pair(f18(A,f24(A)),f19(A,f24(A))) = f24(A). [resolve(265,b,131,b)]. Low Water (keep, True_semantics): wt=38 given #716 (T,wt=5): 13856 empty(f6(c3)) | -empty(c4). [resolve(1106,b,206,a)]. given #717 (T,wt=7): 13857 empty(f6(c3)) | member(f24(c4),c4). [resolve(1106,b,205,a)]. given #718 (T,wt=9): 13842 empty(f6(c3)) | member(f25(f24(c3)),domain_of(c4)). [resolve(1106,b,252,b),unit_del(b,489)]. given #719 (T,wt=6): 13914 empty(f6(c3)) | -empty(domain_of(c4)). [resolve(13842,b,206,a)]. given #720 (A,wt=18): 433 empty(A) | ordered_pair(f18(A,f24(A)),f19(A,f24(A))) = f24(A) | member(f17(A),A). [resolve(265,b,125,a)]. given #721 (T,wt=8): 13895 empty(f6(c3)) | member(f25(f24(c3)),c2). [resolve(13842,b,552,a)]. given #722 (T,wt=5): 13957 empty(f6(c3)) | -empty(c2). [resolve(13895,b,206,a)]. given #723 (T,wt=7): 13958 empty(f6(c3)) | member(f24(c2),c2). [resolve(13895,b,205,a)]. given #724 (T,wt=9): 13866 empty(f6(c3)) | member(f24(c4),cross_product(c2,c3)). [resolve(13857,b,680,a)]. given #725 (A,wt=17): 434 empty(A) | ordered_pair(f18(A,f24(A)),f19(A,f24(A))) = f24(A) | -ilf_type(A,binary_relation_type). [resolve(265,b,123,a)]. given #726 (T,wt=7): 14008 empty(f6(c3)) | -empty(cross_product(c2,c3)). [resolve(13866,b,206,a)]. given #727 (T,wt=9): 13915 empty(f6(c3)) | member(f24(domain_of(c4)),domain_of(c4)). [resolve(13842,b,205,a)]. given #728 (T,wt=8): 14014 empty(f6(c3)) | member(f24(domain_of(c4)),c2). [resolve(13915,b,552,a)]. Low Water (keep, True_semantics): wt=37 given #729 (T,wt=11): 1131 empty(f6(A)) | empty(A) | ilf_type(f24(f6(A)),member_type(A)). [resolve(642,a,212,c)]. given #730 (A,wt=17): 436 empty(range_of(A)) | -ilf_type(A,binary_relation_type) | member(ordered_pair(f1(A,f16(range_of(A))),f16(range_of(A))),A). [resolve(272,b,254,c)]. given #731 (T,wt=11): 1161 empty(f6(A)) | empty(A) | ilf_type(f23(f6(A)),member_type(A)). [resolve(645,a,212,c)]. given #732 (T,wt=11): 1199 empty(range_of(c4)) | empty(c3) | ilf_type(f16(range_of(c4)),member_type(c3)). [resolve(686,a,212,c)]. given #733 (T,wt=11): 1217 empty(range_of(c4)) | member(f24(c3),A) | -member(c3,power_set(A)). [resolve(1202,b,214,a)]. given #734 (T,wt=11): 1222 empty(range_of(c4)) | member(ordered_pair(f25(f24(c3)),f24(c3)),c4). [resolve(1202,b,116,a)]. given #735 (A,wt=16): 437 empty(A) | member(f16(A),B) | member(f9(B,A),B) | -member(f10(B,A),B). [resolve(272,b,230,b)]. given #736 (T,wt=5): 14089 empty(range_of(c4)) | -empty(c4). [resolve(1222,b,206,a)]. given #737 (T,wt=7): 14090 empty(range_of(c4)) | member(f24(c4),c4). [resolve(1222,b,205,a)]. given #738 (T,wt=9): 14075 empty(range_of(c4)) | member(f25(f24(c3)),domain_of(c4)). [resolve(1222,b,252,b),unit_del(b,489)]. given #739 (T,wt=6): 14146 empty(range_of(c4)) | -empty(domain_of(c4)). [resolve(14075,b,206,a)]. given #740 (A,wt=16): 438 empty(A) | member(f16(A),B) | member(f9(B,A),B) | member(f10(B,A),A). [resolve(272,b,229,b)]. given #741 (T,wt=8): 14127 empty(range_of