TSTP Solution File: SEU352+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU352+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:15:48 EDT 2022
% Result : Unknown 2.96s 3.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU352+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 08:00:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.31/2.48 ----- Otter 3.3f, August 2004 -----
% 2.31/2.48 The process was started by sandbox2 on n026.cluster.edu,
% 2.31/2.48 Wed Jul 27 08:00:39 2022
% 2.31/2.48 The command was "./otter". The process ID is 3947.
% 2.31/2.48
% 2.31/2.48 set(prolog_style_variables).
% 2.31/2.48 set(auto).
% 2.31/2.48 dependent: set(auto1).
% 2.31/2.48 dependent: set(process_input).
% 2.31/2.48 dependent: clear(print_kept).
% 2.31/2.48 dependent: clear(print_new_demod).
% 2.31/2.48 dependent: clear(print_back_demod).
% 2.31/2.48 dependent: clear(print_back_sub).
% 2.31/2.48 dependent: set(control_memory).
% 2.31/2.48 dependent: assign(max_mem, 12000).
% 2.31/2.48 dependent: assign(pick_given_ratio, 4).
% 2.31/2.48 dependent: assign(stats_level, 1).
% 2.31/2.48 dependent: assign(max_seconds, 10800).
% 2.31/2.48 clear(print_given).
% 2.31/2.48
% 2.31/2.48 formula_list(usable).
% 2.31/2.48 all A (A=A).
% 2.31/2.48 all A B (in(A,B)-> -in(B,A)).
% 2.31/2.48 all A (latt_str(A)-> (-empty_carrier(A)&lattice(A)-> -empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A))).
% 2.31/2.48 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.31/2.48 all A (latt_str(A)-> (-empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)-> -empty_carrier(A)&lattice(A))).
% 2.31/2.48 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_commutative(A)&meet_semilatt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->meet_commut(A,B,C)=meet_commut(A,C,B)).
% 2.31/2.48 all A (-empty_carrier(A)&meet_semilatt_str(A)-> (lower_bounded_semilattstr(A)<-> (exists B (element(B,the_carrier(A))& (all C (element(C,the_carrier(A))->meet(A,B,C)=B&meet(A,C,B)=B)))))).
% 2.31/2.48 all A (-empty_carrier(A)&meet_semilatt_str(A)-> (lower_bounded_semilattstr(A)-> (all B (element(B,the_carrier(A))-> (B=bottom_of_semilattstr(A)<-> (all C (element(C,the_carrier(A))->meet(A,B,C)=B&meet(A,C,B)=B))))))).
% 2.31/2.48 all A (-empty_carrier(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (latt_element_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,C)->below(A,D,B))))))))).
% 2.31/2.48 all A (relation(A)&function(A)-> (all B C (apply_binary(A,B,C)=apply(A,ordered_pair(B,C))))).
% 2.31/2.48 all A (-empty_carrier(A)&latt_str(A)-> (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B C (element(C,the_carrier(A))-> (C=join_of_latt_set(A,B)<->latt_element_smaller(A,C,B)& (all D (element(D,the_carrier(A))-> (latt_element_smaller(A,D,B)->below(A,C,D))))))))).
% 2.31/2.48 all A (-empty_carrier(A)&meet_semilatt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))->meet(A,B,C)=apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C)))))).
% 2.31/2.48 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.31/2.48 all A B (-empty_carrier(A)&latt_str(A)->element(join_of_latt_set(A,B),the_carrier(A))).
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 all A B C D E F (-empty(A)& -empty(B)&function(D)&quasi_total(D,cartesian_product2(A,B),C)&relation_of2(D,cartesian_product2(A,B),C)&element(E,A)&element(F,B)->element(apply_binary_as_element(A,B,C,D,E,F),C)).
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_semilatt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->element(meet(A,B,C),the_carrier(A))).
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_commutative(A)&meet_semilatt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->element(meet_commut(A,B,C),the_carrier(A))).
% 2.31/2.48 $T.
% 2.31/2.48 all A (-empty_carrier(A)&meet_semilatt_str(A)->element(bottom_of_semilattstr(A),the_carrier(A))).
% 2.31/2.48 all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 2.31/2.48 $T.
% 2.31/2.48 all A (join_semilatt_str(A)->one_sorted_str(A)).
% 2.31/2.48 all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 2.31/2.48 $T.
% 2.31/2.48 $T.
% 2.31/2.48 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.31/2.48 all A (meet_semilatt_str(A)->function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.31/2.48 $T.
% 2.31/2.48 exists A meet_semilatt_str(A).
% 2.31/2.48 exists A one_sorted_str(A).
% 2.31/2.48 exists A join_semilatt_str(A).
% 2.31/2.48 exists A latt_str(A).
% 2.31/2.48 all A B exists C relation_of2(C,A,B).
% 2.31/2.48 all A exists B element(B,A).
% 2.31/2.48 all A B exists C relation_of2_as_subset(C,A,B).
% 2.31/2.48 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.31/2.48 all A (-empty(powerset(A))).
% 2.31/2.48 empty(empty_set).
% 2.31/2.48 all A (-empty(singleton(A))).
% 2.31/2.48 all A B (-empty(unordered_pair(A,B))).
% 2.31/2.48 all A (-empty_carrier(A)&meet_commutative(A)&meet_semilatt_str(A)->relation(the_L_meet(A))&function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v1_binop_1(the_L_meet(A),the_carrier(A))&v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.31/2.48 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.31/2.48 all A (-empty_carrier(A)&meet_associative(A)&meet_semilatt_str(A)->relation(the_L_meet(A))&function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v2_binop_1(the_L_meet(A),the_carrier(A))&v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.31/2.48 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.31/2.48 exists A empty(A).
% 2.31/2.48 all A exists B (element(B,powerset(A))&empty(B)).
% 2.31/2.48 exists A (-empty(A)).
% 2.31/2.48 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.31/2.48 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.31/2.48 all A B C D E F (-empty(A)& -empty(B)&function(D)&quasi_total(D,cartesian_product2(A,B),C)&relation_of2(D,cartesian_product2(A,B),C)&element(E,A)&element(F,B)->apply_binary_as_element(A,B,C,D,E,F)=apply_binary(D,E,F)).
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_commutative(A)&meet_semilatt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->meet_commut(A,B,C)=meet(A,B,C)).
% 2.31/2.48 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))-> (below_refl(A,B,C)<->below(A,B,C))).
% 2.31/2.48 all A B subset(A,A).
% 2.31/2.48 all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->below_refl(A,B,B)).
% 2.31/2.48 all A B (in(A,B)->element(A,B)).
% 2.31/2.48 all A (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))->below(A,meet_commut(A,B,C),B)))))).
% 2.31/2.48 all A (-empty_carrier(A)&join_commutative(A)&join_semilatt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (below(A,B,C)&below(A,C,B)->B=C)))))).
% 2.31/2.48 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.31/2.48 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.31/2.48 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.31/2.48 -(all A (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> -empty_carrier(A)&lattice(A)&lower_bounded_semilattstr(A)&latt_str(A)&bottom_of_semilattstr(A)=join_of_latt_set(A,empty_set))).
% 2.31/2.48 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.31/2.48 all A (empty(A)->A=empty_set).
% 2.31/2.48 all A B (-(in(A,B)&empty(B))).
% 2.31/2.48 all A B (-(empty(A)&A!=B&empty(B))).
% 2.31/2.48 end_of_list.
% 2.31/2.48
% 2.31/2.48 -------> usable clausifies to:
% 2.31/2.48
% 2.31/2.48 list(usable).
% 2.31/2.48 0 [] A=A.
% 2.31/2.48 0 [] -in(A,B)| -in(B,A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.31/2.48 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.31/2.48 0 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 2.31/2.48 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet_commut(A,B,C)=meet_commut(A,C,B).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)|element($f1(A),the_carrier(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(C,the_carrier(A))|meet(A,$f1(A),C)=$f1(A).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(C,the_carrier(A))|meet(A,C,$f1(A))=$f1(A).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)|lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|element($f2(A,B),the_carrier(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)|lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|meet(A,B,$f2(A,B))!=B|meet(A,$f2(A,B),B)!=B.
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B!=bottom_of_semilattstr(A)| -element(C,the_carrier(A))|meet(A,B,C)=B.
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B!=bottom_of_semilattstr(A)| -element(C,the_carrier(A))|meet(A,C,B)=B.
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B=bottom_of_semilattstr(A)|element($f3(A,B),the_carrier(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B=bottom_of_semilattstr(A)|meet(A,B,$f3(A,B))!=B|meet(A,$f3(A,B),B)!=B.
% 2.31/2.48 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 2.31/2.48 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f4(A,B,C),the_carrier(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f4(A,B,C),C).
% 2.31/2.48 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f4(A,B,C),B).
% 2.31/2.48 0 [] -relation(A)| -function(A)|apply_binary(A,B,C)=apply(A,ordered_pair(B,C)).
% 2.31/2.48 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)|latt_element_smaller(A,C,B).
% 2.31/2.48 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,B)|below(A,C,D).
% 2.31/2.48 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|element($f5(A,B,C),the_carrier(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|latt_element_smaller(A,$f5(A,B,C),B).
% 2.31/2.48 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)| -below(A,C,$f5(A,B,C)).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet(A,B,C)=apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C).
% 2.31/2.48 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.31/2.48 0 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] empty(A)|empty(B)| -function(D)| -quasi_total(D,cartesian_product2(A,B),C)| -relation_of2(D,cartesian_product2(A,B),C)| -element(E,A)| -element(F,B)|element(apply_binary_as_element(A,B,C,D,E,F),C).
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(meet(A,B,C),the_carrier(A)).
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(meet_commut(A,B,C),the_carrier(A)).
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] empty_carrier(A)| -meet_semilatt_str(A)|element(bottom_of_semilattstr(A),the_carrier(A)).
% 2.31/2.48 0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.31/2.48 0 [] -latt_str(A)|meet_semilatt_str(A).
% 2.31/2.48 0 [] -latt_str(A)|join_semilatt_str(A).
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] $T.
% 2.31/2.48 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.31/2.48 0 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.48 0 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] $T.
% 2.31/2.49 0 [] meet_semilatt_str($c1).
% 2.31/2.49 0 [] one_sorted_str($c2).
% 2.31/2.49 0 [] join_semilatt_str($c3).
% 2.31/2.49 0 [] latt_str($c4).
% 2.31/2.49 0 [] relation_of2($f6(A,B),A,B).
% 2.31/2.49 0 [] element($f7(A),A).
% 2.31/2.49 0 [] relation_of2_as_subset($f8(A,B),A,B).
% 2.31/2.49 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.31/2.49 0 [] -empty(powerset(A)).
% 2.31/2.49 0 [] empty(empty_set).
% 2.31/2.49 0 [] -empty(singleton(A)).
% 2.31/2.49 0 [] -empty(unordered_pair(A,B)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_binop_1(the_L_meet(A),the_carrier(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v2_binop_1(the_L_meet(A),the_carrier(A)).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 0 [] empty(A)|element($f9(A),powerset(A)).
% 2.31/2.49 0 [] empty(A)| -empty($f9(A)).
% 2.31/2.49 0 [] empty($c5).
% 2.31/2.49 0 [] element($f10(A),powerset(A)).
% 2.31/2.49 0 [] empty($f10(A)).
% 2.31/2.49 0 [] -empty($c6).
% 2.31/2.49 0 [] one_sorted_str($c7).
% 2.31/2.49 0 [] -empty_carrier($c7).
% 2.31/2.49 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.31/2.49 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f11(A)).
% 2.31/2.49 0 [] empty(A)|empty(B)| -function(D)| -quasi_total(D,cartesian_product2(A,B),C)| -relation_of2(D,cartesian_product2(A,B),C)| -element(E,A)| -element(F,B)|apply_binary_as_element(A,B,C,D,E,F)=apply_binary(D,E,F).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet_commut(A,B,C)=meet(A,B,C).
% 2.31/2.49 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.31/2.49 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 2.31/2.49 0 [] subset(A,A).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,B).
% 2.31/2.49 0 [] -in(A,B)|element(A,B).
% 2.31/2.49 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below(A,meet_commut(A,B,C),B).
% 2.31/2.49 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below(A,B,C)| -below(A,C,B)|B=C.
% 2.31/2.49 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.31/2.49 0 [] -element(A,powerset(B))|subset(A,B).
% 2.31/2.49 0 [] element(A,powerset(B))| -subset(A,B).
% 2.31/2.49 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.31/2.49 0 [] -empty_carrier($c8).
% 2.31/2.49 0 [] lattice($c8).
% 2.31/2.49 0 [] complete_latt_str($c8).
% 2.31/2.49 0 [] latt_str($c8).
% 2.31/2.49 0 [] empty_carrier($c8)| -lattice($c8)| -lower_bounded_semilattstr($c8)| -latt_str($c8)|bottom_of_semilattstr($c8)!=join_of_latt_set($c8,empty_set).
% 2.31/2.49 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.31/2.49 0 [] -empty(A)|A=empty_set.
% 2.31/2.49 0 [] -in(A,B)| -empty(B).
% 2.31/2.49 0 [] -empty(A)|A=B| -empty(B).
% 2.31/2.49 end_of_list.
% 2.31/2.49
% 2.31/2.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.31/2.49
% 2.31/2.49 This ia a non-Horn set with equality. The strategy will be
% 2.31/2.49 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.31/2.49 deletion, with positive clauses in sos and nonpositive
% 2.31/2.49 clauses in usable.
% 2.31/2.49
% 2.31/2.49 dependent: set(knuth_bendix).
% 2.31/2.49 dependent: set(anl_eq).
% 2.31/2.49 dependent: set(para_from).
% 2.31/2.49 dependent: set(para_into).
% 2.31/2.49 dependent: clear(para_from_right).
% 2.31/2.49 dependent: clear(para_into_right).
% 2.31/2.49 dependent: set(para_from_vars).
% 2.31/2.49 dependent: set(eq_units_both_ways).
% 2.31/2.49 dependent: set(dynamic_demod_all).
% 2.31/2.49 dependent: set(dynamic_demod).
% 2.31/2.49 dependent: set(order_eq).
% 2.31/2.49 dependent: set(back_demod).
% 2.31/2.49 dependent: set(lrpo).
% 2.31/2.49 dependent: set(hyper_res).
% 2.31/2.49 dependent: set(unit_deletion).
% 2.31/2.49 dependent: set(factor).
% 2.31/2.49
% 2.31/2.49 ------------> process usable:
% 2.31/2.49 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.31/2.49 ** KEPT (pick-wt=8): 2 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 3 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 4 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 5 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.31/2.49 ** KEPT (pick-wt=8): 8 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.31/2.49 ** KEPT (pick-wt=18): 9 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 2.31/2.49 ** KEPT (pick-wt=23): 10 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet_commut(A,B,C)=meet_commut(A,C,B).
% 2.31/2.49 ** KEPT (pick-wt=11): 11 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)|element($f1(A),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=18): 12 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|meet(A,$f1(A),B)=$f1(A).
% 2.31/2.49 ** KEPT (pick-wt=18): 13 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|meet(A,B,$f1(A))=$f1(A).
% 2.31/2.49 ** KEPT (pick-wt=16): 14 [] empty_carrier(A)| -meet_semilatt_str(A)|lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|element($f2(A,B),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=26): 15 [] empty_carrier(A)| -meet_semilatt_str(A)|lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|meet(A,B,$f2(A,B))!=B|meet(A,$f2(A,B),B)!=B.
% 2.31/2.49 ** KEPT (pick-wt=24): 16 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B!=bottom_of_semilattstr(A)| -element(C,the_carrier(A))|meet(A,B,C)=B.
% 2.31/2.49 ** KEPT (pick-wt=24): 17 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B!=bottom_of_semilattstr(A)| -element(C,the_carrier(A))|meet(A,C,B)=B.
% 2.31/2.49 ** KEPT (pick-wt=20): 18 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B=bottom_of_semilattstr(A)|element($f3(A,B),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=30): 19 [] empty_carrier(A)| -meet_semilatt_str(A)| -lower_bounded_semilattstr(A)| -element(B,the_carrier(A))|B=bottom_of_semilattstr(A)|meet(A,B,$f3(A,B))!=B|meet(A,$f3(A,B),B)!=B.
% 2.31/2.49 ** KEPT (pick-wt=23): 20 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 2.31/2.49 ** KEPT (pick-wt=19): 21 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f4(A,B,C),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=18): 22 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f4(A,B,C),C).
% 2.31/2.49 ** KEPT (pick-wt=19): 23 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f4(A,B,C),B).
% 2.31/2.49 ** KEPT (pick-wt=14): 25 [copy,24,flip.3] -relation(A)| -function(A)|apply(A,ordered_pair(B,C))=apply_binary(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=21): 26 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)|latt_element_smaller(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=29): 27 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,C)|below(A,B,D).
% 2.31/2.49 ** KEPT (pick-wt=28): 28 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|element($f5(A,C,B),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=28): 29 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|latt_element_smaller(A,$f5(A,C,B),C).
% 2.31/2.49 ** KEPT (pick-wt=28): 30 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)| -below(A,B,$f5(A,C,B)).
% 2.31/2.49 ** KEPT (pick-wt=28): 31 [] empty_carrier(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet(A,B,C)=apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C).
% 2.31/2.49 ** KEPT (pick-wt=10): 32 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=33): 33 [] empty(A)|empty(B)| -function(C)| -quasi_total(C,cartesian_product2(A,B),D)| -relation_of2(C,cartesian_product2(A,B),D)| -element(E,A)| -element(F,B)|element(apply_binary_as_element(A,B,D,C,E,F),D).
% 2.31/2.49 ** KEPT (pick-wt=19): 34 [] empty_carrier(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(meet(A,B,C),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=21): 35 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(meet_commut(A,B,C),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=9): 36 [] empty_carrier(A)| -meet_semilatt_str(A)|element(bottom_of_semilattstr(A),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=4): 37 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.31/2.49 ** KEPT (pick-wt=4): 38 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.31/2.49 ** KEPT (pick-wt=4): 39 [] -latt_str(A)|meet_semilatt_str(A).
% 2.31/2.49 ** KEPT (pick-wt=4): 40 [] -latt_str(A)|join_semilatt_str(A).
% 2.31/2.49 ** KEPT (pick-wt=10): 41 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.31/2.49 ** KEPT (pick-wt=5): 42 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.49 ** KEPT (pick-wt=12): 43 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=12): 44 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=7): 45 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=3): 46 [] -empty(powerset(A)).
% 2.31/2.49 ** KEPT (pick-wt=3): 47 [] -empty(singleton(A)).
% 2.31/2.49 ** KEPT (pick-wt=4): 48 [] -empty(unordered_pair(A,B)).
% 2.31/2.49 ** KEPT (pick-wt=9): 49 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.31/2.49 Following clause subsumed by 42 during input processing: 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.49 Following clause subsumed by 43 during input processing: 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=11): 50 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_binop_1(the_L_meet(A),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=16): 51 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=8): 52 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.31/2.49 ** KEPT (pick-wt=9): 53 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.31/2.49 Following clause subsumed by 42 during input processing: 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.31/2.49 Following clause subsumed by 43 during input processing: 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=11): 54 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v2_binop_1(the_L_meet(A),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=16): 55 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.31/2.49 ** KEPT (pick-wt=5): 56 [] empty(A)| -empty($f9(A)).
% 2.31/2.49 ** KEPT (pick-wt=2): 57 [] -empty($c6).
% 2.31/2.49 ** KEPT (pick-wt=2): 58 [] -empty_carrier($c7).
% 2.31/2.49 ** KEPT (pick-wt=10): 59 [] empty_carrier(A)| -one_sorted_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.31/2.49 ** KEPT (pick-wt=7): 60 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f11(A)).
% 2.31/2.49 ** KEPT (pick-wt=36): 61 [] empty(A)|empty(B)| -function(C)| -quasi_total(C,cartesian_product2(A,B),D)| -relation_of2(C,cartesian_product2(A,B),D)| -element(E,A)| -element(F,B)|apply_binary_as_element(A,B,D,C,E,F)=apply_binary(C,E,F).
% 2.31/2.49 ** KEPT (pick-wt=23): 62 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|meet_commut(A,B,C)=meet(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=8): 63 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=8): 64 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=26): 65 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=26): 66 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 2.31/2.49 ** KEPT (pick-wt=18): 68 [copy,67,factor_simp] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))|below_refl(A,B,B).
% 2.31/2.49 ** KEPT (pick-wt=6): 69 [] -in(A,B)|element(A,B).
% 2.31/2.49 ** KEPT (pick-wt=23): 70 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below(A,meet_commut(A,B,C),B).
% 2.31/2.49 ** KEPT (pick-wt=25): 71 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below(A,B,C)| -below(A,C,B)|B=C.
% 2.31/2.49 ** KEPT (pick-wt=8): 72 [] -element(A,B)|empty(B)|in(A,B).
% 2.31/2.49 ** KEPT (pick-wt=7): 73 [] -element(A,powerset(B))|subset(A,B).
% 2.31/2.49 ** KEPT (pick-wt=7): 74 [] element(A,powerset(B))| -subset(A,B).
% 2.31/2.49 ** KEPT (pick-wt=10): 75 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.31/2.49 ** KEPT (pick-wt=2): 76 [] -empty_carrier($c8).
% 2.31/2.49 ** KEPT (pick-wt=12): 78 [copy,77,unit_del,76] -lattice($c8)| -lower_bounded_semilattstr($c8)| -latt_str($c8)|bottom_of_semilattstr($c8)!=join_of_latt_set($c8,empty_set).
% 2.31/2.49 ** KEPT (pick-wt=9): 79 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.31/2.49 ** KEPT (pick-wt=5): 80 [] -empty(A)|A=empty_set.
% 2.31/2.49 ** KEPT (pick-wt=5): 81 [] -in(A,B)| -empty(B).
% 2.31/2.49 ** KEPT (pick-wt=7): 82 [] -empty(A)|A=B| -empty(B).
% 2.31/2.49
% 2.31/2.49 ------------> process sos:
% 2.31/2.49 ** KEPT (pick-wt=3): 101 [] A=A.
% 2.31/2.49 ** KEPT (pick-wt=7): 102 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.31/2.49 ** KEPT (pick-wt=10): 104 [copy,103,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.31/2.49 ---> New Demodulator: 105 [new_demod,104] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.31/2.49 ** KEPT (pick-wt=2): 106 [] meet_semilatt_str($c1).
% 2.31/2.49 ** KEPT (pick-wt=2): 107 [] one_sorted_str($c2).
% 2.31/2.49 ** KEPT (pick-wt=2): 108 [] join_semilatt_str($c3).
% 2.31/2.49 ** KEPT (pick-wt=2): 109 [] latt_str($c4).
% 2.31/2.49 ** KEPT (pick-wt=6): 110 [] relation_of2($f6(A,B),A,B).
% 2.31/2.49 ** KEPT (pick-wt=4): 111 [] element($f7(A),A).
% 2.31/2.49 ** KEPT (pick-wt=6): 112 [] relation_of2_as_subset($f8(A,B),A,B).
% 2.31/2.49 ** KEPT (pick-wt=2): 113 [] empty(empty_set).
% 2.96/3.16 ** KEPT (pick-wt=7): 114 [] empty(A)|element($f9(A),powerset(A)).
% 2.96/3.16 ** KEPT (pick-wt=2): 115 [] empty($c5).
% 2.96/3.16 ** KEPT (pick-wt=5): 116 [] element($f10(A),powerset(A)).
% 2.96/3.16 ** KEPT (pick-wt=3): 117 [] empty($f10(A)).
% 2.96/3.16 ** KEPT (pick-wt=2): 118 [] one_sorted_str($c7).
% 2.96/3.16 ** KEPT (pick-wt=3): 119 [] subset(A,A).
% 2.96/3.16 ** KEPT (pick-wt=2): 120 [] lattice($c8).
% 2.96/3.16 ** KEPT (pick-wt=2): 121 [] complete_latt_str($c8).
% 2.96/3.16 ** KEPT (pick-wt=2): 122 [] latt_str($c8).
% 2.96/3.16 Following clause subsumed by 101 during input processing: 0 [copy,101,flip.1] A=A.
% 2.96/3.16 101 back subsumes 100.
% 2.96/3.16 101 back subsumes 99.
% 2.96/3.16 101 back subsumes 84.
% 2.96/3.16 Following clause subsumed by 102 during input processing: 0 [copy,102,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 2.96/3.16 >>>> Starting back demodulation with 105.
% 2.96/3.16
% 2.96/3.16 ======= end of input processing =======
% 2.96/3.16
% 2.96/3.16 =========== start of search ===========
% 2.96/3.16
% 2.96/3.16
% 2.96/3.16 Resetting weight limit to 5.
% 2.96/3.16
% 2.96/3.16
% 2.96/3.16 Resetting weight limit to 5.
% 2.96/3.16
% 2.96/3.16 sos_size=310
% 2.96/3.16
% 2.96/3.16 Search stopped because sos empty.
% 2.96/3.16
% 2.96/3.16
% 2.96/3.16 Search stopped because sos empty.
% 2.96/3.16
% 2.96/3.16 ============ end of search ============
% 2.96/3.16
% 2.96/3.16 -------------- statistics -------------
% 2.96/3.16 clauses given 385
% 2.96/3.16 clauses generated 28394
% 2.96/3.16 clauses kept 496
% 2.96/3.16 clauses forward subsumed 310
% 2.96/3.16 clauses back subsumed 3
% 2.96/3.16 Kbytes malloced 6835
% 2.96/3.16
% 2.96/3.16 ----------- times (seconds) -----------
% 2.96/3.16 user CPU time 0.67 (0 hr, 0 min, 0 sec)
% 2.96/3.16 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.96/3.16 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.96/3.16
% 2.96/3.16 Process 3947 finished Wed Jul 27 08:00:42 2022
% 2.96/3.16 Otter interrupted
% 2.96/3.16 PROOF NOT FOUND
%------------------------------------------------------------------------------