TSTP Solution File: SEU277+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:15:26 EDT 2022
% Result : Unknown 227.37s 227.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 08:00:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.11/2.24 ----- Otter 3.3f, August 2004 -----
% 2.11/2.24 The process was started by sandbox on n025.cluster.edu,
% 2.11/2.24 Wed Jul 27 08:00:30 2022
% 2.11/2.24 The command was "./otter". The process ID is 15847.
% 2.11/2.24
% 2.11/2.24 set(prolog_style_variables).
% 2.11/2.24 set(auto).
% 2.11/2.24 dependent: set(auto1).
% 2.11/2.24 dependent: set(process_input).
% 2.11/2.24 dependent: clear(print_kept).
% 2.11/2.24 dependent: clear(print_new_demod).
% 2.11/2.24 dependent: clear(print_back_demod).
% 2.11/2.24 dependent: clear(print_back_sub).
% 2.11/2.24 dependent: set(control_memory).
% 2.11/2.24 dependent: assign(max_mem, 12000).
% 2.11/2.24 dependent: assign(pick_given_ratio, 4).
% 2.11/2.24 dependent: assign(stats_level, 1).
% 2.11/2.24 dependent: assign(max_seconds, 10800).
% 2.11/2.24 clear(print_given).
% 2.11/2.24
% 2.11/2.24 formula_list(usable).
% 2.11/2.24 all A (A=A).
% 2.11/2.24 -(all A B C (relation(B)&relation(C)&function(C)-> (exists D all E (in(E,D)<->in(E,cartesian_product2(A,A))& (exists F G (E=ordered_pair(F,G)&in(ordered_pair(apply(C,F),apply(C,G)),B))))))).
% 2.11/2.24 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.11/2.24 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.11/2.24 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.11/2.24 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.24 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.24 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.24 all A (empty(A)->function(A)).
% 2.11/2.24 exists A (relation(A)&empty(A)&function(A)).
% 2.11/2.24 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.11/2.24 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.24 exists A empty(A).
% 2.11/2.24 exists A (-empty(A)).
% 2.11/2.24 all A B (in(A,B)-> -in(B,A)).
% 2.11/2.24 $T.
% 2.11/2.24 $T.
% 2.11/2.24 $T.
% 2.11/2.24 exists A (relation(A)&function(A)).
% 2.11/2.24 all A B (-empty(ordered_pair(A,B))).
% 2.11/2.24 all A B C (relation(B)&relation(C)&function(C)-> ((all D E F (D=E& (exists G H (E=ordered_pair(G,H)&in(ordered_pair(apply(C,G),apply(C,H)),B)))&D=F& (exists I J (F=ordered_pair(I,J)&in(ordered_pair(apply(C,I),apply(C,J)),B)))->E=F))-> (exists D all E (in(E,D)<-> (exists F (in(F,cartesian_product2(A,A))&F=E& (exists K L (E=ordered_pair(K,L)&in(ordered_pair(apply(C,K),apply(C,L)),B))))))))).
% 2.11/2.24 end_of_list.
% 2.11/2.24
% 2.11/2.24 -------> usable clausifies to:
% 2.11/2.24
% 2.11/2.24 list(usable).
% 2.11/2.24 0 [] A=A.
% 2.11/2.24 0 [] relation($c2).
% 2.11/2.24 0 [] relation($c1).
% 2.11/2.24 0 [] function($c1).
% 2.11/2.24 0 [] in($f3(D),D)|in($f3(D),cartesian_product2($c3,$c3)).
% 2.11/2.24 0 [] in($f3(D),D)|$f3(D)=ordered_pair($f2(D),$f1(D)).
% 2.11/2.24 0 [] in($f3(D),D)|in(ordered_pair(apply($c1,$f2(D)),apply($c1,$f1(D))),$c2).
% 2.11/2.24 0 [] -in($f3(D),D)| -in($f3(D),cartesian_product2($c3,$c3))|$f3(D)!=ordered_pair(F,G)| -in(ordered_pair(apply($c1,F),apply($c1,G)),$c2).
% 2.11/2.24 0 [] relation($c4).
% 2.11/2.24 0 [] function($c4).
% 2.11/2.24 0 [] one_to_one($c4).
% 2.11/2.24 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.11/2.24 0 [] -ordinal(A)|epsilon_connected(A).
% 2.11/2.24 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.11/2.24 0 [] epsilon_transitive($c5).
% 2.11/2.24 0 [] epsilon_connected($c5).
% 2.11/2.24 0 [] ordinal($c5).
% 2.11/2.24 0 [] relation($c6).
% 2.11/2.24 0 [] function($c6).
% 2.11/2.24 0 [] one_to_one($c6).
% 2.11/2.24 0 [] empty($c6).
% 2.11/2.24 0 [] epsilon_transitive($c6).
% 2.11/2.24 0 [] epsilon_connected($c6).
% 2.11/2.24 0 [] ordinal($c6).
% 2.11/2.24 0 [] -empty($c7).
% 2.11/2.24 0 [] epsilon_transitive($c7).
% 2.11/2.24 0 [] epsilon_connected($c7).
% 2.11/2.24 0 [] ordinal($c7).
% 2.11/2.24 0 [] -empty(A)|function(A).
% 2.11/2.24 0 [] relation($c8).
% 2.11/2.24 0 [] empty($c8).
% 2.11/2.24 0 [] function($c8).
% 2.11/2.24 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.11/2.24 0 [] -empty(A)|epsilon_transitive(A).
% 2.11/2.24 0 [] -empty(A)|epsilon_connected(A).
% 2.11/2.24 0 [] -empty(A)|ordinal(A).
% 2.11/2.24 0 [] empty($c9).
% 2.11/2.24 0 [] -empty($c10).
% 2.11/2.24 0 [] -in(A,B)| -in(B,A).
% 2.11/2.24 0 [] $T.
% 2.11/2.24 0 [] $T.
% 2.11/2.24 0 [] $T.
% 2.11/2.24 0 [] relation($c11).
% 2.11/2.24 0 [] function($c11).
% 2.11/2.24 0 [] -empty(ordered_pair(A,B)).
% 2.11/2.24 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f9(A,B,C)| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.24 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f9(A,B,C)| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.24 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f9(A,B,C)| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.24 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f9(A,B,C)| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.24 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f9(A,B,C)|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)=ordered_pair($f5(A,B,C),$f4(A,B,C))| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)=ordered_pair($f5(A,B,C),$f4(A,B,C))| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)=ordered_pair($f5(A,B,C),$f4(A,B,C))| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)=ordered_pair($f5(A,B,C),$f4(A,B,C))| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)=ordered_pair($f5(A,B,C),$f4(A,B,C))|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f5(A,B,C)),apply(C,$f4(A,B,C))),B)| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f5(A,B,C)),apply(C,$f4(A,B,C))),B)| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f5(A,B,C)),apply(C,$f4(A,B,C))),B)| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f5(A,B,C)),apply(C,$f4(A,B,C))),B)| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f5(A,B,C)),apply(C,$f4(A,B,C))),B)|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f8(A,B,C)| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f8(A,B,C)| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f8(A,B,C)| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f8(A,B,C)| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f10(A,B,C)=$f8(A,B,C)|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f8(A,B,C)=ordered_pair($f7(A,B,C),$f6(A,B,C))| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f8(A,B,C)=ordered_pair($f7(A,B,C),$f6(A,B,C))| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f8(A,B,C)=ordered_pair($f7(A,B,C),$f6(A,B,C))| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f8(A,B,C)=ordered_pair($f7(A,B,C),$f6(A,B,C))| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f8(A,B,C)=ordered_pair($f7(A,B,C),$f6(A,B,C))|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f7(A,B,C)),apply(C,$f6(A,B,C))),B)| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f7(A,B,C)),apply(C,$f6(A,B,C))),B)| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f7(A,B,C)),apply(C,$f6(A,B,C))),B)| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f7(A,B,C)),apply(C,$f6(A,B,C))),B)| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f7(A,B,C)),apply(C,$f6(A,B,C))),B)|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)!=$f8(A,B,C)| -in(E,$f14(A,B,C))|in($f13(A,B,C,E),cartesian_product2(A,A)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)!=$f8(A,B,C)| -in(E,$f14(A,B,C))|$f13(A,B,C,E)=E.
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)!=$f8(A,B,C)| -in(E,$f14(A,B,C))|E=ordered_pair($f12(A,B,C,E),$f11(A,B,C,E)).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)!=$f8(A,B,C)| -in(E,$f14(A,B,C))|in(ordered_pair(apply(C,$f12(A,B,C,E)),apply(C,$f11(A,B,C,E))),B).
% 2.11/2.25 0 [] -relation(B)| -relation(C)| -function(C)|$f9(A,B,C)!=$f8(A,B,C)|in(E,$f14(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 2.11/2.25 end_of_list.
% 2.11/2.25
% 2.11/2.25 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.11/2.25
% 2.11/2.25 This ia a non-Horn set with equality. The strategy will be
% 2.11/2.25 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.11/2.25 deletion, with positive clauses in sos and nonpositive
% 2.11/2.25 clauses in usable.
% 2.11/2.25
% 2.11/2.25 dependent: set(knuth_bendix).
% 2.11/2.25 dependent: set(anl_eq).
% 2.11/2.25 dependent: set(para_from).
% 2.11/2.25 dependent: set(para_into).
% 2.11/2.25 dependent: clear(para_from_right).
% 2.11/2.25 dependent: clear(para_into_right).
% 2.11/2.25 dependent: set(para_from_vars).
% 2.11/2.25 dependent: set(eq_units_both_ways).
% 2.11/2.25 dependent: set(dynamic_demod_all).
% 2.11/2.25 dependent: set(dynamic_demod).
% 2.11/2.25 dependent: set(order_eq).
% 2.11/2.25 dependent: set(back_demod).
% 2.11/2.25 dependent: set(lrpo).
% 2.11/2.25 dependent: set(hyper_res).
% 2.11/2.25 dependent: set(unit_deletion).
% 2.11/2.25 dependent: set(factor).
% 2.11/2.25
% 2.11/2.25 ------------> process usable:
% 2.11/2.25 ** KEPT (pick-wt=25): 1 [] -in($f3(A),A)| -in($f3(A),cartesian_product2($c3,$c3))|$f3(A)!=ordered_pair(B,C)| -in(ordered_pair(apply($c1,B),apply($c1,C)),$c2).
% 2.11/2.25 ** KEPT (pick-wt=4): 2 [] -ordinal(A)|epsilon_transitive(A).
% 2.11/2.25 ** KEPT (pick-wt=4): 3 [] -ordinal(A)|epsilon_connected(A).
% 2.11/2.25 ** KEPT (pick-wt=6): 4 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.11/2.25 ** KEPT (pick-wt=2): 5 [] -empty($c7).
% 2.11/2.25 ** KEPT (pick-wt=4): 6 [] -empty(A)|function(A).
% 2.11/2.25 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.11/2.25 ** KEPT (pick-wt=4): 8 [] -empty(A)|epsilon_transitive(A).
% 2.11/2.25 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_connected(A).
% 2.11/2.25 ** KEPT (pick-wt=4): 10 [] -empty(A)|ordinal(A).
% 2.11/2.25 ** KEPT (pick-wt=2): 11 [] -empty($c10).
% 2.11/2.25 ** KEPT (pick-wt=6): 12 [] -in(A,B)| -in(B,A).
% 2.11/2.25 ** KEPT (pick-wt=4): 13 [] -empty(ordered_pair(A,B)).
% 2.11/2.25 ** KEPT (pick-wt=30): 15 [copy,14,flip.4] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.25 ** KEPT (pick-wt=28): 17 [copy,16,flip.4] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.25 ** KEPT (pick-wt=34): 19 [copy,18,flip.4,flip.6] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.25 ** KEPT (pick-wt=38): 21 [copy,20,flip.4] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 2.11/2.25 ** KEPT (pick-wt=43): 23 [copy,22,flip.4] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)=$f10(C,A,B)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 2.11/2.25 ** KEPT (pick-wt=35): 25 [copy,24,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f5(C,A,B),$f4(C,A,B))=$f9(C,A,B)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.25 ** KEPT (pick-wt=33): 27 [copy,26,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f5(C,A,B),$f4(C,A,B))=$f9(C,A,B)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.25 ** KEPT (pick-wt=39): 29 [copy,28,flip.4,flip.6] -relation(A)| -relation(B)| -function(B)|ordered_pair($f5(C,A,B),$f4(C,A,B))=$f9(C,A,B)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.25 ** KEPT (pick-wt=43): 31 [copy,30,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f5(C,A,B),$f4(C,A,B))=$f9(C,A,B)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 2.11/2.26 ** KEPT (pick-wt=48): 33 [copy,32,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f5(C,A,B),$f4(C,A,B))=$f9(C,A,B)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 2.11/2.26 ** KEPT (pick-wt=36): 34 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f5(C,A,B)),apply(B,$f4(C,A,B))),A)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.26 ** KEPT (pick-wt=34): 35 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f5(C,A,B)),apply(B,$f4(C,A,B))),A)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.26 ** KEPT (pick-wt=40): 37 [copy,36,flip.6] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f5(C,A,B)),apply(B,$f4(C,A,B))),A)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.26 ** KEPT (pick-wt=44): 38 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f5(C,A,B)),apply(B,$f4(C,A,B))),A)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 2.11/2.26 ** KEPT (pick-wt=49): 39 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f5(C,A,B)),apply(B,$f4(C,A,B))),A)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 2.11/2.26 ** KEPT (pick-wt=30): 41 [copy,40,flip.4] -relation(A)| -relation(B)| -function(B)|$f8(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.26 ** KEPT (pick-wt=28): 43 [copy,42,flip.4] -relation(A)| -relation(B)| -function(B)|$f8(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.26 ** KEPT (pick-wt=34): 45 [copy,44,flip.4,flip.6] -relation(A)| -relation(B)| -function(B)|$f8(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.26 ** KEPT (pick-wt=38): 47 [copy,46,flip.4] -relation(A)| -relation(B)| -function(B)|$f8(C,A,B)=$f10(C,A,B)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 2.11/2.26 ** KEPT (pick-wt=43): 49 [copy,48,flip.4] -relation(A)| -relation(B)| -function(B)|$f8(C,A,B)=$f10(C,A,B)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 2.11/2.26 ** KEPT (pick-wt=35): 51 [copy,50,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f7(C,A,B),$f6(C,A,B))=$f8(C,A,B)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.26 ** KEPT (pick-wt=33): 53 [copy,52,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f7(C,A,B),$f6(C,A,B))=$f8(C,A,B)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.26 ** KEPT (pick-wt=39): 55 [copy,54,flip.4,flip.6] -relation(A)| -relation(B)| -function(B)|ordered_pair($f7(C,A,B),$f6(C,A,B))=$f8(C,A,B)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.26 ** KEPT (pick-wt=43): 57 [copy,56,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f7(C,A,B),$f6(C,A,B))=$f8(C,A,B)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 2.11/2.26 ** KEPT (pick-wt=48): 59 [copy,58,flip.4] -relation(A)| -relation(B)| -function(B)|ordered_pair($f7(C,A,B),$f6(C,A,B))=$f8(C,A,B)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 2.11/2.26 ** KEPT (pick-wt=36): 60 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f7(C,A,B)),apply(B,$f6(C,A,B))),A)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 2.11/2.26 ** KEPT (pick-wt=34): 61 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f7(C,A,B)),apply(B,$f6(C,A,B))),A)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 2.11/2.26 ** KEPT (pick-wt=40): 63 [copy,62,flip.6] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f7(C,A,B)),apply(B,$f6(C,A,B))),A)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 2.11/2.26 ** KEPT (pick-wt=44): 64 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f7(C,A,B)),apply(B,$f6(C,A,B))),A)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 227.37/227.54 ** KEPT (pick-wt=49): 65 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(apply(B,$f7(C,A,B)),apply(B,$f6(C,A,B))),A)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 227.37/227.54 ** KEPT (pick-wt=30): 66 [] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)!=$f8(C,A,B)| -in(D,$f14(C,A,B))|in($f13(C,A,B,D),cartesian_product2(C,C)).
% 227.37/227.54 ** KEPT (pick-wt=28): 67 [] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)!=$f8(C,A,B)| -in(D,$f14(C,A,B))|$f13(C,A,B,D)=D.
% 227.37/227.54 ** KEPT (pick-wt=34): 69 [copy,68,flip.6] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)!=$f8(C,A,B)| -in(D,$f14(C,A,B))|ordered_pair($f12(C,A,B,D),$f11(C,A,B,D))=D.
% 227.37/227.54 ** KEPT (pick-wt=38): 70 [] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)!=$f8(C,A,B)| -in(D,$f14(C,A,B))|in(ordered_pair(apply(B,$f12(C,A,B,D)),apply(B,$f11(C,A,B,D))),A).
% 227.37/227.54 ** KEPT (pick-wt=43): 71 [] -relation(A)| -relation(B)| -function(B)|$f9(C,A,B)!=$f8(C,A,B)|in(D,$f14(C,A,B))| -in(E,cartesian_product2(C,C))|E!=D|D!=ordered_pair(F,G)| -in(ordered_pair(apply(B,F),apply(B,G)),A).
% 227.37/227.54
% 227.37/227.54 ------------> process sos:
% 227.37/227.54 ** KEPT (pick-wt=3): 139 [] A=A.
% 227.37/227.54 ** KEPT (pick-wt=2): 140 [] relation($c2).
% 227.37/227.54 ** KEPT (pick-wt=2): 141 [] relation($c1).
% 227.37/227.54 ** KEPT (pick-wt=2): 142 [] function($c1).
% 227.37/227.54 ** KEPT (pick-wt=10): 143 [] in($f3(A),A)|in($f3(A),cartesian_product2($c3,$c3)).
% 227.37/227.54 ** KEPT (pick-wt=12): 144 [] in($f3(A),A)|$f3(A)=ordered_pair($f2(A),$f1(A)).
% 227.37/227.54 ** KEPT (pick-wt=15): 145 [] in($f3(A),A)|in(ordered_pair(apply($c1,$f2(A)),apply($c1,$f1(A))),$c2).
% 227.37/227.54 ** KEPT (pick-wt=2): 146 [] relation($c4).
% 227.37/227.54 ** KEPT (pick-wt=2): 147 [] function($c4).
% 227.37/227.54 ** KEPT (pick-wt=2): 148 [] one_to_one($c4).
% 227.37/227.54 ** KEPT (pick-wt=2): 149 [] epsilon_transitive($c5).
% 227.37/227.54 ** KEPT (pick-wt=2): 150 [] epsilon_connected($c5).
% 227.37/227.54 ** KEPT (pick-wt=2): 151 [] ordinal($c5).
% 227.37/227.54 ** KEPT (pick-wt=2): 152 [] relation($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 153 [] function($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 154 [] one_to_one($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 155 [] empty($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 156 [] epsilon_transitive($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 157 [] epsilon_connected($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 158 [] ordinal($c6).
% 227.37/227.54 ** KEPT (pick-wt=2): 159 [] epsilon_transitive($c7).
% 227.37/227.54 ** KEPT (pick-wt=2): 160 [] epsilon_connected($c7).
% 227.37/227.54 ** KEPT (pick-wt=2): 161 [] ordinal($c7).
% 227.37/227.54 ** KEPT (pick-wt=2): 162 [] relation($c8).
% 227.37/227.54 ** KEPT (pick-wt=2): 163 [] empty($c8).
% 227.37/227.54 ** KEPT (pick-wt=2): 164 [] function($c8).
% 227.37/227.54 ** KEPT (pick-wt=2): 165 [] empty($c9).
% 227.37/227.54 ** KEPT (pick-wt=2): 166 [] relation($c11).
% 227.37/227.54 ** KEPT (pick-wt=2): 167 [] function($c11).
% 227.37/227.54 Following clause subsumed by 139 during input processing: 0 [copy,139,flip.1] A=A.
% 227.37/227.54
% 227.37/227.54 ======= end of input processing =======
% 227.37/227.54
% 227.37/227.54 =========== start of search ===========
% 227.37/227.54
% 227.37/227.54
% 227.37/227.54 Resetting weight limit to 33.
% 227.37/227.54
% 227.37/227.54
% 227.37/227.54 Resetting weight limit to 33.
% 227.37/227.54
% 227.37/227.54 sos_size=879
% 227.37/227.54
% 227.37/227.54
% 227.37/227.54 Resetting weight limit to 31.
% 227.37/227.54
% 227.37/227.54
% 227.37/227.54 Resetting weight limit to 31.
% 227.37/227.54
% 227.37/227.54 sos_size=939
% 227.37/227.54
% 227.37/227.54 Search stopped because sos empty.
% 227.37/227.54
% 227.37/227.54
% 227.37/227.54 Search stopped because sos empty.
% 227.37/227.54
% 227.37/227.54 ============ end of search ============
% 227.37/227.54
% 227.37/227.54 -------------- statistics -------------
% 227.37/227.54 clauses given 1566
% 227.37/227.54 clauses generated 3277380
% 227.37/227.54 clauses kept 1828
% 227.37/227.54 clauses forward subsumed 2868
% 227.37/227.54 clauses back subsumed 413
% 227.37/227.54 Kbytes malloced 6835
% 227.37/227.54
% 227.37/227.54 ----------- times (seconds) -----------
% 227.37/227.54 user CPU time 225.26 (0 hr, 3 min, 45 sec)
% 227.37/227.54 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 227.37/227.54 wall-clock time 227 (0 hr, 3 min, 47 sec)
% 227.37/227.54
% 227.37/227.54 Process 15847 finished Wed Jul 27 08:04:17 2022
% 227.37/227.54 Otter interrupted
% 227.37/227.54 PROOF NOT FOUND
%------------------------------------------------------------------------------