TSTP Solution File: SET674+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET674+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:14:02 EDT 2022
% Result : Unknown 6.30s 6.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET674+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:08:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.25/2.43 ----- Otter 3.3f, August 2004 -----
% 2.25/2.43 The process was started by sandbox on n023.cluster.edu,
% 2.25/2.43 Wed Jul 27 11:08:03 2022
% 2.25/2.43 The command was "./otter". The process ID is 8243.
% 2.25/2.43
% 2.25/2.43 set(prolog_style_variables).
% 2.25/2.43 set(auto).
% 2.25/2.43 dependent: set(auto1).
% 2.25/2.43 dependent: set(process_input).
% 2.25/2.43 dependent: clear(print_kept).
% 2.25/2.43 dependent: clear(print_new_demod).
% 2.25/2.43 dependent: clear(print_back_demod).
% 2.25/2.43 dependent: clear(print_back_sub).
% 2.25/2.43 dependent: set(control_memory).
% 2.25/2.43 dependent: assign(max_mem, 12000).
% 2.25/2.43 dependent: assign(pick_given_ratio, 4).
% 2.25/2.43 dependent: assign(stats_level, 1).
% 2.25/2.43 dependent: assign(max_seconds, 10800).
% 2.25/2.43 clear(print_given).
% 2.25/2.43
% 2.25/2.43 formula_list(usable).
% 2.25/2.43 all A (A=A).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,binary_relation_type)-> (member(B,domain_of(C))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(B,D),C))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,binary_relation_type)-> (member(B,range_of(C))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(D,B),C))))))).
% 2.25/2.43 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)))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,binary_relation_type)-> (member(C,image(D,B))<-> (exists E (ilf_type(E,set_type)&member(ordered_pair(E,C),D)&member(E,B))))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,binary_relation_type)-> (member(C,inverse2(D,B))<-> (exists E (ilf_type(E,set_type)&member(ordered_pair(C,E),D)&member(E,B))))))))).
% 2.25/2.43 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)))).
% 2.25/2.43 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,relation_type(B,C))-> (member(ordered_pair(D,E),F)->member(D,B)&member(E,C))))))))))).
% 2.25/2.43 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)))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (B=C<->subset(B,C)&subset(C,B))))).
% 2.25/2.43 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)->ilf_type(inverse2(B,C),set_type)))).
% 2.25/2.43 all B (ilf_type(B,binary_relation_type)->ilf_type(domain_of(B),set_type)).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 2.25/2.43 all B (ilf_type(B,binary_relation_type)->ilf_type(range_of(B),set_type)).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 2.25/2.43 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)->ilf_type(image(B,C),set_type)))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 2.25/2.43 exists B ilf_type(B,binary_relation_type).
% 2.25/2.43 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))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 2.25/2.43 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)))))))).
% 2.25/2.43 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)))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)->subset(B,B)).
% 2.25/2.43 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)))))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 2.25/2.43 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))))).
% 2.25/2.43 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 2.25/2.43 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)))))))))).
% 2.25/2.43 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)))))).
% 2.25/2.43 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 2.25/2.43 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 2.25/2.43 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)))))).
% 2.25/2.43 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))))))).
% 2.25/2.43 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)))))).
% 2.25/2.43 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))))))).
% 2.25/2.43 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)->image4(B,C,D,E)=image(D,E)))))))).
% 2.25/2.43 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)->ilf_type(image4(B,C,D,E),subset_type(C))))))))).
% 2.25/2.43 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)->inverse4(B,C,D,E)=inverse2(D,E)))))))).
% 2.25/2.43 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)->ilf_type(inverse4(B,C,D,E),subset_type(B))))))))).
% 2.25/2.43 all B ilf_type(B,set_type).
% 2.25/2.43 -(all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->image4(B,C,D,B)=range(B,C,D)&inverse4(B,C,D,C)=domain(B,C,D))))))).
% 2.25/2.43 end_of_list.
% 2.25/2.43
% 2.25/2.43 -------> usable clausifies to:
% 2.25/2.43
% 2.25/2.43 list(usable).
% 2.25/2.43 0 [] A=A.
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,domain_of(C))|ilf_type($f1(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,domain_of(C))|member(ordered_pair(B,$f1(B,C)),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,domain_of(C))| -ilf_type(D,set_type)| -member(ordered_pair(B,D),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,range_of(C))|ilf_type($f2(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,range_of(C))|member(ordered_pair($f2(B,C),B),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,range_of(C))| -ilf_type(D,set_type)| -member(ordered_pair(D,B),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),D)|member(B,domain_of(D)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),D)|member(C,range_of(D)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,image(D,B))|ilf_type($f3(B,C,D),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,image(D,B))|member(ordered_pair($f3(B,C,D),C),D).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,image(D,B))|member($f3(B,C,D),B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)|member(C,image(D,B))| -ilf_type(E,set_type)| -member(ordered_pair(E,C),D)| -member(E,B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,inverse2(D,B))|ilf_type($f4(B,C,D),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,inverse2(D,B))|member(ordered_pair(C,$f4(B,C,D)),D).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(C,inverse2(D,B))|member($f4(B,C,D),B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)|member(C,inverse2(D,B))| -ilf_type(E,set_type)| -member(ordered_pair(C,E),D)| -member(E,B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f5(B,C),set_type)|B=C.
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member($f5(B,C),B)|member($f5(B,C),C)|B=C.
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member($f5(B,C),B)| -member($f5(B,C),C)|B=C.
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(D,B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(E,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C))).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f6(B,C),relation_type(C,B)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C|subset(B,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C|subset(C,B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -subset(B,C)| -subset(C,B).
% 2.25/2.43 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|ilf_type(inverse2(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,binary_relation_type)|ilf_type(domain_of(B),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,binary_relation_type)|ilf_type(range_of(B),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|ilf_type(image(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 2.25/2.43 0 [] ilf_type($c1,binary_relation_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(C,subset_type(B))| -ilf_type(C,member_type(power_set(B))).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|ilf_type($f7(B),subset_type(B)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)|member(D,B)| -member(D,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|ilf_type($f8(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|member($f8(B,C),B)|member($f8(B,C),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -member($f8(B,C),B)| -member($f8(B,C),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(B,C)| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f9(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f9(B,C),B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f9(B,C),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|subset(B,B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member(B,power_set(C))| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f10(B,C),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f10(B,C),B).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f10(B,C),C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 2.25/2.43 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 2.25/2.43 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f11(B),member_type(B)).
% 2.25/2.43 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f13(B,C),set_type).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f12(B,C),set_type).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f13(B,C),$f12(B,C)).
% 2.25/2.44 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f14(B),set_type).
% 2.25/2.44 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f14(B),B).
% 2.25/2.44 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f14(B)!=ordered_pair(D,E).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 2.25/2.44 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f15(B),set_type).
% 2.25/2.44 0 [] -ilf_type(B,set_type)|empty(B)|member($f15(B),B).
% 2.25/2.44 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|image4(B,C,D,E)=image(D,E).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|ilf_type(image4(B,C,D,E),subset_type(C)).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|inverse4(B,C,D,E)=inverse2(D,E).
% 2.25/2.44 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|ilf_type(inverse4(B,C,D,E),subset_type(B)).
% 2.25/2.44 0 [] ilf_type(B,set_type).
% 2.25/2.44 0 [] ilf_type($c4,set_type).
% 2.25/2.44 0 [] ilf_type($c3,set_type).
% 2.25/2.44 0 [] ilf_type($c2,relation_type($c4,$c3)).
% 2.25/2.44 0 [] image4($c4,$c3,$c2,$c4)!=range($c4,$c3,$c2)|inverse4($c4,$c3,$c2,$c3)!=domain($c4,$c3,$c2).
% 2.25/2.44 end_of_list.
% 2.25/2.44
% 2.25/2.44 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.25/2.44
% 2.25/2.44 This ia a non-Horn set with equality. The strategy will be
% 2.25/2.44 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.25/2.44 deletion, with positive clauses in sos and nonpositive
% 2.25/2.44 clauses in usable.
% 2.25/2.44
% 2.25/2.44 dependent: set(knuth_bendix).
% 2.25/2.44 dependent: set(anl_eq).
% 2.25/2.44 dependent: set(para_from).
% 2.25/2.44 dependent: set(para_into).
% 2.25/2.44 dependent: clear(para_from_right).
% 2.25/2.44 dependent: clear(para_into_right).
% 2.25/2.44 dependent: set(para_from_vars).
% 2.25/2.44 dependent: set(eq_units_both_ways).
% 2.25/2.44 dependent: set(dynamic_demod_all).
% 2.25/2.44 dependent: set(dynamic_demod).
% 2.25/2.44 dependent: set(order_eq).
% 2.25/2.44 dependent: set(back_demod).
% 2.25/2.44 dependent: set(lrpo).
% 2.25/2.44 dependent: set(hyper_res).
% 2.25/2.44 dependent: set(unit_deletion).
% 2.25/2.44 dependent: set(factor).
% 2.25/2.44
% 2.25/2.44 ------------> process usable:
% 2.25/2.44 ** KEPT (pick-wt=15): 1 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,domain_of(B))|ilf_type($f1(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=17): 2 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,domain_of(B))|member(ordered_pair(A,$f1(A,B)),B).
% 2.25/2.44 ** KEPT (pick-wt=18): 3 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)|member(A,domain_of(B))| -ilf_type(C,set_type)| -member(ordered_pair(A,C),B).
% 2.25/2.44 ** KEPT (pick-wt=15): 4 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,range_of(B))|ilf_type($f2(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=17): 5 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,range_of(B))|member(ordered_pair($f2(A,B),A),B).
% 2.25/2.44 ** KEPT (pick-wt=18): 6 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)|member(A,range_of(B))| -ilf_type(C,set_type)| -member(ordered_pair(C,A),B).
% 2.25/2.44 Following clause subsumed by 3 during input processing: 0 [] -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)).
% 2.25/2.44 Following clause subsumed by 6 during input processing: 0 [] -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)).
% 2.25/2.44 ** KEPT (pick-wt=20): 7 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,image(C,A))|ilf_type($f3(A,B,C),set_type).
% 2.25/2.44 ** KEPT (pick-wt=22): 8 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,image(C,A))|member(ordered_pair($f3(A,B,C),B),C).
% 2.25/2.44 ** KEPT (pick-wt=20): 9 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,image(C,A))|member($f3(A,B,C),A).
% 2.25/2.44 ** KEPT (pick-wt=25): 10 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,image(C,A))| -ilf_type(D,set_type)| -member(ordered_pair(D,B),C)| -member(D,A).
% 2.25/2.44 ** KEPT (pick-wt=20): 11 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,inverse2(C,A))|ilf_type($f4(A,B,C),set_type).
% 2.25/2.44 ** KEPT (pick-wt=22): 12 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,inverse2(C,A))|member(ordered_pair(B,$f4(A,B,C)),C).
% 2.25/2.44 ** KEPT (pick-wt=20): 13 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,inverse2(C,A))|member($f4(A,B,C),A).
% 2.25/2.44 ** KEPT (pick-wt=25): 14 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,inverse2(C,A))| -ilf_type(D,set_type)| -member(ordered_pair(B,D),C)| -member(D,A).
% 2.25/2.44 ** KEPT (pick-wt=14): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f5(A,B),set_type)|A=B.
% 2.25/2.44 ** KEPT (pick-wt=19): 16 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member($f5(A,B),A)|member($f5(A,B),B)|A=B.
% 2.25/2.44 ** KEPT (pick-wt=19): 17 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member($f5(A,B),A)| -member($f5(A,B),B)|A=B.
% 2.25/2.44 ** KEPT (pick-wt=25): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(C,A).
% 2.25/2.44 ** KEPT (pick-wt=25): 19 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(D,B).
% 2.25/2.44 ** KEPT (pick-wt=17): 20 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 2.25/2.44 ** KEPT (pick-wt=17): 21 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 2.25/2.44 ** KEPT (pick-wt=13): 22 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f6(A,B),relation_type(B,A)).
% 2.25/2.44 ** KEPT (pick-wt=12): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B|subset(A,B).
% 2.25/2.44 ** KEPT (pick-wt=12): 24 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B|subset(B,A).
% 2.25/2.44 ** KEPT (pick-wt=15): 25 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -subset(A,B)| -subset(B,A).
% 2.25/2.44 ** KEPT (pick-wt=11): 26 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|ilf_type(inverse2(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=7): 27 [] -ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type).
% 2.25/2.44 ** KEPT (pick-wt=11): 28 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=7): 29 [] -ilf_type(A,binary_relation_type)|ilf_type(range_of(A),set_type).
% 2.25/2.44 ** KEPT (pick-wt=11): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=11): 31 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|ilf_type(image(A,B),set_type).
% 2.25/2.44 ** KEPT (pick-wt=8): 32 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 2.25/2.44 ** KEPT (pick-wt=8): 33 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 2.25/2.44 ** KEPT (pick-wt=15): 34 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 2.25/2.44 ** KEPT (pick-wt=15): 35 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 2.25/2.44 ** KEPT (pick-wt=8): 36 [] -ilf_type(A,set_type)|ilf_type($f7(A),subset_type(A)).
% 2.25/2.47 ** KEPT (pick-wt=18): 37 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.25/2.47 ** KEPT (pick-wt=18): 38 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)|member(C,A)| -member(C,B).
% 2.25/2.47 ** KEPT (pick-wt=14): 39 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|ilf_type($f8(A,B),set_type).
% 2.25/2.47 ** KEPT (pick-wt=19): 40 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|member($f8(A,B),A)|member($f8(A,B),B).
% 2.25/2.47 ** KEPT (pick-wt=19): 41 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -member($f8(A,B),A)| -member($f8(A,B),B).
% 2.25/2.47 ** KEPT (pick-wt=18): 42 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.25/2.47 ** KEPT (pick-wt=14): 43 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f9(A,B),set_type).
% 2.25/2.47 ** KEPT (pick-wt=14): 44 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f9(A,B),A).
% 2.25/2.47 ** KEPT (pick-wt=14): 45 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f9(A,B),B).
% 2.25/2.47 ** KEPT (pick-wt=6): 46 [] -ilf_type(A,set_type)|subset(A,A).
% 2.25/2.47 ** KEPT (pick-wt=19): 47 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.25/2.47 ** KEPT (pick-wt=15): 48 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f10(A,B),set_type).
% 2.25/2.47 ** KEPT (pick-wt=15): 49 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f10(A,B),A).
% 2.25/2.47 ** KEPT (pick-wt=15): 50 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f10(A,B),B).
% 2.25/2.47 ** KEPT (pick-wt=6): 51 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 2.25/2.47 ** KEPT (pick-wt=7): 52 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 2.25/2.47 ** KEPT (pick-wt=15): 53 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 2.25/2.47 ** KEPT (pick-wt=15): 54 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 2.25/2.47 ** KEPT (pick-wt=10): 55 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f11(A),member_type(A)).
% 2.25/2.47 ** KEPT (pick-wt=16): 56 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f13(A,B),set_type).
% 2.25/2.47 ** KEPT (pick-wt=16): 57 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f12(A,B),set_type).
% 2.25/2.47 ** KEPT (pick-wt=20): 59 [copy,58,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f13(A,B),$f12(A,B))=B.
% 2.25/2.47 ** KEPT (pick-wt=9): 60 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f14(A),set_type).
% 2.25/2.47 ** KEPT (pick-wt=9): 61 [] -ilf_type(A,set_type)|relation_like(A)|member($f14(A),A).
% 2.25/2.47 ** KEPT (pick-wt=17): 62 [] -ilf_type(A,set_type)|relation_like(A)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|$f14(A)!=ordered_pair(B,C).
% 2.25/2.47 ** KEPT (pick-wt=14): 63 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 2.25/2.47 ** KEPT (pick-wt=11): 64 [] -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 2.25/2.47 ** KEPT (pick-wt=9): 65 [] -ilf_type(A,set_type)|empty(A)|ilf_type($f15(A),set_type).
% 2.25/2.47 ** KEPT (pick-wt=9): 66 [] -ilf_type(A,set_type)|empty(A)|member($f15(A),A).
% 2.25/2.47 ** KEPT (pick-wt=7): 67 [] -empty(A)| -ilf_type(A,set_type)|relation_like(A).
% 2.25/2.47 ** KEPT (pick-wt=18): 68 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|domain(A,B,C)=domain_of(C).
% 2.25/2.47 ** KEPT (pick-wt=18): 69 [] -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)).
% 2.25/2.47 ** KEPT (pick-wt=18): 70 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|range(A,B,C)=range_of(C).
% 2.25/2.47 ** KEPT (pick-wt=18): 71 [] -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)).
% 2.25/2.47 ** KEPT (pick-wt=23): 72 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|image4(A,B,C,D)=image(C,D).
% 6.30/6.45 ** KEPT (pick-wt=22): 73 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|ilf_type(image4(A,B,C,D),subset_type(B)).
% 6.30/6.45 ** KEPT (pick-wt=23): 74 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|inverse4(A,B,C,D)=inverse2(C,D).
% 6.30/6.45 ** KEPT (pick-wt=22): 75 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|ilf_type(inverse4(A,B,C,D),subset_type(A)).
% 6.30/6.45 ** KEPT (pick-wt=20): 77 [copy,76,flip.1,flip.2] range($c4,$c3,$c2)!=image4($c4,$c3,$c2,$c4)|domain($c4,$c3,$c2)!=inverse4($c4,$c3,$c2,$c3).
% 6.30/6.45
% 6.30/6.45 ------------> process sos:
% 6.30/6.45 ** KEPT (pick-wt=3): 177 [] A=A.
% 6.30/6.45 ** KEPT (pick-wt=3): 178 [] ilf_type($c1,binary_relation_type).
% 6.30/6.45 ** KEPT (pick-wt=3): 179 [] ilf_type(A,set_type).
% 6.30/6.45 Following clause subsumed by 179 during input processing: 0 [] ilf_type($c4,set_type).
% 6.30/6.45 Following clause subsumed by 179 during input processing: 0 [] ilf_type($c3,set_type).
% 6.30/6.45 ** KEPT (pick-wt=5): 180 [] ilf_type($c2,relation_type($c4,$c3)).
% 6.30/6.45 Following clause subsumed by 177 during input processing: 0 [copy,177,flip.1] A=A.
% 6.30/6.45 177 back subsumes 121.
% 6.30/6.45 177 back subsumes 120.
% 6.30/6.45 177 back subsumes 119.
% 6.30/6.45 177 back subsumes 110.
% 6.30/6.45 177 back subsumes 94.
% 6.30/6.45 177 back subsumes 93.
% 6.30/6.45 177 back subsumes 92.
% 6.30/6.45 179 back subsumes 133.
% 6.30/6.45 179 back subsumes 132.
% 6.30/6.45 179 back subsumes 127.
% 6.30/6.45 179 back subsumes 112.
% 6.30/6.45 179 back subsumes 111.
% 6.30/6.45 179 back subsumes 86.
% 6.30/6.45 179 back subsumes 80.
% 6.30/6.45 179 back subsumes 65.
% 6.30/6.45 179 back subsumes 60.
% 6.30/6.45 179 back subsumes 57.
% 6.30/6.45 179 back subsumes 56.
% 6.30/6.45 179 back subsumes 52.
% 6.30/6.45 179 back subsumes 48.
% 6.30/6.45 179 back subsumes 43.
% 6.30/6.45 179 back subsumes 39.
% 6.30/6.45 179 back subsumes 31.
% 6.30/6.45 179 back subsumes 30.
% 6.30/6.45 179 back subsumes 29.
% 6.30/6.45 179 back subsumes 28.
% 6.30/6.45 179 back subsumes 27.
% 6.30/6.45 179 back subsumes 26.
% 6.30/6.45 179 back subsumes 15.
% 6.30/6.45 179 back subsumes 11.
% 6.30/6.45 179 back subsumes 7.
% 6.30/6.45 179 back subsumes 4.
% 6.30/6.45 179 back subsumes 1.
% 6.30/6.45
% 6.30/6.45 ======= end of input processing =======
% 6.30/6.45
% 6.30/6.45 =========== start of search ===========
% 6.30/6.45
% 6.30/6.45
% 6.30/6.45 Resetting weight limit to 9.
% 6.30/6.45
% 6.30/6.45
% 6.30/6.45 Resetting weight limit to 9.
% 6.30/6.45
% 6.30/6.45 sos_size=308
% 6.30/6.45
% 6.30/6.45 Search stopped because sos empty.
% 6.30/6.45
% 6.30/6.45
% 6.30/6.45 Search stopped because sos empty.
% 6.30/6.45
% 6.30/6.45 ============ end of search ============
% 6.30/6.45
% 6.30/6.45 -------------- statistics -------------
% 6.30/6.45 clauses given 394
% 6.30/6.45 clauses generated 163025
% 6.30/6.45 clauses kept 624
% 6.30/6.45 clauses forward subsumed 1018
% 6.30/6.45 clauses back subsumed 96
% 6.30/6.45 Kbytes malloced 7812
% 6.30/6.45
% 6.30/6.45 ----------- times (seconds) -----------
% 6.30/6.45 user CPU time 4.02 (0 hr, 0 min, 4 sec)
% 6.30/6.45 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.30/6.45 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.30/6.45
% 6.30/6.45 Process 8243 finished Wed Jul 27 11:08:09 2022
% 6.30/6.45 Otter interrupted
% 6.30/6.45 PROOF NOT FOUND
%------------------------------------------------------------------------------