TSTP Solution File: SWC024-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWC024-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : 600s
% DateTime : Tue Jul 19 21:44:49 EDT 2022
% Result : Unsatisfiable 18.63s 18.94s
% Output : Refutation 18.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC024-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 15:53:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/1.07 ============================== Prover9 ===============================
% 0.77/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.07 Process 1497 was started by sandbox2 on n006.cluster.edu,
% 0.77/1.07 Sun Jun 12 15:53:13 2022
% 0.77/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1194_n006.cluster.edu".
% 0.77/1.07 ============================== end of head ===========================
% 0.77/1.07
% 0.77/1.07 ============================== INPUT =================================
% 0.77/1.07
% 0.77/1.07 % Reading from file /tmp/Prover9_1194_n006.cluster.edu
% 0.77/1.07
% 0.77/1.07 set(prolog_style_variables).
% 0.77/1.07 set(auto2).
% 0.77/1.07 % set(auto2) -> set(auto).
% 0.77/1.07 % set(auto) -> set(auto_inference).
% 0.77/1.07 % set(auto) -> set(auto_setup).
% 0.77/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.77/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.07 % set(auto) -> set(auto_limits).
% 0.77/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.07 % set(auto) -> set(auto_denials).
% 0.77/1.07 % set(auto) -> set(auto_process).
% 0.77/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.77/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.77/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.77/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.77/1.07 % set(auto2) -> assign(stats, some).
% 0.77/1.07 % set(auto2) -> clear(echo_input).
% 0.77/1.07 % set(auto2) -> set(quiet).
% 0.77/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.07 % set(auto2) -> clear(print_given).
% 0.77/1.07 assign(lrs_ticks,-1).
% 0.77/1.07 assign(sos_limit,10000).
% 0.77/1.07 assign(order,kbo).
% 0.77/1.07 set(lex_order_vars).
% 0.77/1.07 clear(print_given).
% 0.77/1.07
% 0.77/1.07 % formulas(sos). % not echoed (198 formulas)
% 0.77/1.07
% 0.77/1.07 ============================== end of input ==========================
% 0.77/1.07
% 0.77/1.07 % From the command line: assign(max_seconds, 300).
% 0.77/1.07
% 0.77/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.07
% 0.77/1.07 % Formulas that are not ordinary clauses:
% 0.77/1.07
% 0.77/1.07 ============================== end of process non-clausal formulas ===
% 0.77/1.07
% 0.77/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.07
% 0.77/1.07 ============================== PREDICATE ELIMINATION =================
% 0.77/1.07 1 app(A,cons(B,cons(C,D))) != E | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -equalelemsP(E) | -ssList(E) | B = C # label(clause180) # label(axiom). [assumption].
% 0.77/1.07 2 equalelemsP(nil) # label(clause1) # label(axiom). [assumption].
% 0.77/1.07 3 -ssItem(A) | equalelemsP(cons(A,nil)) # label(clause64) # label(axiom). [assumption].
% 0.77/1.07 4 skaf79(A) != skaf78(A) | -ssList(A) | equalelemsP(A) # label(clause89) # label(axiom). [assumption].
% 0.77/1.07 5 -ssList(A) | equalelemsP(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A # label(clause142) # label(axiom). [assumption].
% 0.77/1.07 Derived: app(A,cons(B,cons(C,D))) != nil | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(nil) | B = C. [resolve(1,f,2,a)].
% 0.77/1.07 Derived: app(A,cons(B,cons(C,D))) != cons(E,nil) | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(cons(E,nil)) | B = C | -ssItem(E). [resolve(1,f,3,b)].
% 0.77/1.07 Derived: app(A,cons(B,cons(C,D))) != E | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(E) | B = C | skaf79(E) != skaf78(E) | -ssList(E). [resolve(1,f,4,c)].
% 0.77/1.07 Derived: app(A,cons(B,cons(C,D))) != E | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(E) | B = C | -ssList(E) | app(skaf80(E),cons(skaf78(E),cons(skaf79(E),skaf81(E)))) = E. [resolve(1,f,5,b)].
% 0.77/1.07 6 equalelemsP(sk3) # label(co1_11) # label(negated_conjecture). [assumption].
% 0.77/1.07 Derived: app(A,cons(B,cons(C,D))) != sk3 | -ssList(D) | -ssList(A) | -ssItem(C) | -ssItem(B) | -ssList(sk3) | B = C. [resolve(6,a,1,f)].
% 0.77/1.07 7 app(app(A,cons(B,C)),cons(B,D)) != E | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -duplicatefreeP(E) | -ssList(E) # label(clause179) # label(axiom). [assumption].
% 0.77/1.07 8 duplicatefreeP(nil) # label(clause2) # label(axiom). [assumption].
% 0.77/1.07 9 -ssItem(A) | duplicatefreeP(cons(A,nil)) # label(clause65) # label(axiom). [assumption].
% 0.80/1.07 10 -ssList(A) | duplicatefreeP(A) | ssItem(B) # label(clause72) # label(axiom). [assumption].
% 0.80/1.07 11 -ssList(A) | duplicatefreeP(A) | app(app(skaf75(A),cons(skaf74(A),skaf76(A))),cons(skaf74(A),skaf77(A))) = A # label(clause162) # label(axiom). [assumption].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(B,D)) != nil | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(nil). [resolve(7,f,8,a)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(B,D)) != cons(E,nil) | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(cons(E,nil)) | -ssItem(E). [resolve(7,f,9,b)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(B,D)) != E | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(E) | -ssList(E) | ssItem(F). [resolve(7,f,10,b)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(B,D)) != E | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(E) | -ssList(E) | app(app(skaf75(E),cons(skaf74(E),skaf76(E))),cons(skaf74(E),skaf77(E))) = E. [resolve(7,f,11,b)].
% 0.80/1.07 12 app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -strictorderP(F) | -ssList(F) | lt(B,D) | lt(D,B) # label(clause183) # label(axiom). [assumption].
% 0.80/1.07 13 strictorderP(nil) # label(clause5) # label(axiom). [assumption].
% 0.80/1.07 14 -ssItem(A) | strictorderP(cons(A,nil)) # label(clause68) # label(axiom). [assumption].
% 0.80/1.07 15 -lt(skaf60(A),skaf59(A)) | -ssList(A) | strictorderP(A) # label(clause92) # label(axiom). [assumption].
% 0.80/1.07 16 -lt(skaf59(A),skaf60(A)) | -ssList(A) | strictorderP(A) # label(clause93) # label(axiom). [assumption].
% 0.80/1.07 17 -ssList(A) | strictorderP(A) | app(app(skaf61(A),cons(skaf59(A),skaf62(A))),cons(skaf60(A),skaf63(A))) = A # label(clause165) # label(axiom). [assumption].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != nil | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(nil) | lt(B,D) | lt(D,B). [resolve(12,g,13,a)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != cons(F,nil) | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(cons(F,nil)) | lt(B,D) | lt(D,B) | -ssItem(F). [resolve(12,g,14,b)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | lt(B,D) | lt(D,B) | -lt(skaf60(F),skaf59(F)) | -ssList(F). [resolve(12,g,15,c)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | lt(B,D) | lt(D,B) | -lt(skaf59(F),skaf60(F)) | -ssList(F). [resolve(12,g,16,c)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | lt(B,D) | lt(D,B) | -ssList(F) | app(app(skaf61(F),cons(skaf59(F),skaf62(F))),cons(skaf60(F),skaf63(F))) = F. [resolve(12,g,17,b)].
% 0.80/1.07 18 app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -totalorderP(F) | -ssList(F) | leq(B,D) | leq(D,B) # label(clause184) # label(axiom). [assumption].
% 0.80/1.07 19 totalorderP(nil) # label(clause6) # label(axiom). [assumption].
% 0.80/1.07 20 -ssItem(A) | totalorderP(cons(A,nil)) # label(clause69) # label(axiom). [assumption].
% 0.80/1.07 21 -leq(skaf55(A),skaf54(A)) | -ssList(A) | totalorderP(A) # label(clause94) # label(axiom). [assumption].
% 0.80/1.07 22 -leq(skaf54(A),skaf55(A)) | -ssList(A) | totalorderP(A) # label(clause95) # label(axiom). [assumption].
% 0.80/1.07 23 -ssList(A) | totalorderP(A) | app(app(skaf56(A),cons(skaf54(A),skaf57(A))),cons(skaf55(A),skaf58(A))) = A # label(clause166) # label(axiom). [assumption].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != nil | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(nil) | leq(B,D) | leq(D,B). [resolve(18,g,19,a)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != cons(F,nil) | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(cons(F,nil)) | leq(B,D) | leq(D,B) | -ssItem(F). [resolve(18,g,20,b)].
% 0.80/1.07 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | leq(B,D) | leq(D,B) | -leq(skaf55(F),skaf54(F)) | -ssList(F). [resolve(18,g,21,c)].
% 2.31/2.61 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | leq(B,D) | leq(D,B) | -leq(skaf54(F),skaf55(F)) | -ssList(F). [resolve(18,g,22,c)].
% 2.31/2.61 Derived: app(app(A,cons(B,C)),cons(D,E)) != F | -ssList(E) | -ssList(C) | -ssList(A) | -ssItem(D) | -ssItem(B) | -ssList(F) | leq(B,D) | leq(D,B) | -ssList(F) | app(app(skaf56(F),cons(skaf54(F),skaf57(F))),cons(skaf55(F),skaf58(F))) = F. [resolve(18,g,23,b)].
% 2.31/2.61 24 -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != F | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -cyclefreeP(F) | -ssList(F) # label(clause185) # label(axiom). [assumption].
% 2.31/2.61 25 cyclefreeP(nil) # label(clause7) # label(axiom). [assumption].
% 2.31/2.61 26 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(clause70) # label(axiom). [assumption].
% 2.31/2.61 27 -ssList(A) | cyclefreeP(A) | leq(skaf50(A),skaf49(A)) # label(clause87) # label(axiom). [assumption].
% 2.31/2.61 28 -ssList(A) | cyclefreeP(A) | leq(skaf49(A),skaf50(A)) # label(clause88) # label(axiom). [assumption].
% 2.31/2.61 29 -ssList(A) | cyclefreeP(A) | app(app(skaf51(A),cons(skaf49(A),skaf52(A))),cons(skaf50(A),skaf53(A))) = A # label(clause167) # label(axiom). [assumption].
% 2.31/2.61 Derived: -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != nil | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -ssList(nil). [resolve(24,i,25,a)].
% 2.31/2.61 Derived: -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != cons(F,nil) | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -ssList(cons(F,nil)) | -ssItem(F). [resolve(24,i,26,b)].
% 2.31/2.61 Derived: -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != F | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -ssList(F) | -ssList(F) | leq(skaf50(F),skaf49(F)). [resolve(24,i,27,b)].
% 2.31/2.61 Derived: -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != F | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -ssList(F) | -ssList(F) | leq(skaf49(F),skaf50(F)). [resolve(24,i,28,b)].
% 2.31/2.61 Derived: -leq(A,B) | -leq(B,A) | app(app(C,cons(A,D)),cons(B,E)) != F | -ssList(E) | -ssList(D) | -ssList(C) | -ssItem(B) | -ssItem(A) | -ssList(F) | -ssList(F) | app(app(skaf51(F),cons(skaf49(F),skaf52(F))),cons(skaf50(F),skaf53(F))) = F. [resolve(24,i,29,b)].
% 2.31/2.61
% 2.31/2.61 ============================== end predicate elimination =============
% 2.31/2.61
% 2.31/2.61 Auto_denials: (non-Horn, no changes).
% 2.31/2.61
% 2.31/2.61 Term ordering decisions:
% 2.31/2.61 Function symbol KB weights: nil=1. sk3=1. sk4=1. sk2=1. sk1=1. sk5=1. skac2=1. skac3=1. cons=1. app=1. skaf42=1. skaf43=1. skaf45=1. skaf46=1. skaf47=1. skaf48=1. hd=1. tl=1. skaf49=1. skaf50=1. skaf54=1. skaf55=1. skaf59=1. skaf60=1. skaf64=1. skaf65=1. skaf69=1. skaf70=1. skaf74=1. skaf78=1. skaf79=1. skaf44=1. skaf51=1. skaf52=1. skaf53=1. skaf56=1. skaf57=1. skaf58=1. skaf61=1. skaf62=1. skaf63=1. skaf66=1. skaf67=1. skaf68=1. skaf71=1. skaf72=1. skaf73=1. skaf75=1. skaf76=1. skaf77=1. skaf80=1. skaf81=1. skaf82=1. skaf83=1.
% 2.31/2.61
% 2.31/2.61 ============================== end of process initial clauses ========
% 2.31/2.61
% 2.31/2.61 ============================== CLAUSES FOR SEARCH ====================
% 2.31/2.61
% 2.31/2.61 ============================== end of clauses for search =============
% 2.31/2.61
% 2.31/2.61 ============================== SEARCH ================================
% 2.31/2.61
% 2.31/2.61 % Starting search at 0.19 seconds.
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=26.000, iters=3580
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=24.000, iters=3487
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=22.000, iters=3471
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=20.000, iters=3442
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=18.000, iters=3350
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=17.000, iters=3453
% 2.31/2.61
% 2.31/2.61 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 198 (0.00 of 0.78 sec).
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=16.000, iters=3818
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=15.000, iters=3423
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=14.000, iters=3354
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=13.000, iters=3389
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=12.000, iters=3339
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=11.000, iters=3335
% 2.31/2.61
% 2.31/2.61 Low Water (keep): wt=10.000, iters=3344
% 2.31/2.61
% 2.31/2.61 Low Water (displace): id=2572, wt=32.000
% 2.31/2.61
% 2.31/2.61 Low Water (displace): id=3754, wt=29.000
% 2.31/2.61
% 2.31/2.61 Low Water (displace): id=3739, wt=28.000
% 2.31/2.61
% 2.31/2.61 Low Water (displace): id=3752, wt=26.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3216, wt=25.000
% 18.63/18.94
% 18.63/18.94 Low Water (keep): wt=9.000, iters=3339
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3748, wt=24.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3225, wt=22.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3389, wt=21.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3525, wt=20.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=2231, wt=19.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=4418, wt=18.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=8656, wt=17.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3493, wt=16.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=8641, wt=15.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=3839, wt=13.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=14294, wt=11.000
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=14314, wt=7.000
% 18.63/18.94
% 18.63/18.94 Low Water (keep): wt=8.000, iters=3414
% 18.63/18.94
% 18.63/18.94 Low Water (keep): wt=7.000, iters=3340
% 18.63/18.94
% 18.63/18.94 Low Water (displace): id=52354, wt=6.000
% 18.63/18.94
% 18.63/18.94 ============================== PROOF =================================
% 18.63/18.94 % SZS status Unsatisfiable
% 18.63/18.94 % SZS output start Refutation
% 18.63/18.94
% 18.63/18.94 % Proof 1 at 17.25 (+ 0.66) seconds.
% 18.63/18.94 % Length of proof is 26.
% 18.63/18.94 % Level of proof is 6.
% 18.63/18.94 % Maximum clause weight is 14.000.
% 18.63/18.94 % Given clauses 8236.
% 18.63/18.94
% 18.63/18.94 32 ssList(nil) # label(clause8) # label(axiom). [assumption].
% 18.63/18.94 85 -ssList(A) | frontsegP(A,A) # label(clause61) # label(axiom). [assumption].
% 18.63/18.94 109 -ssList(A) | -ssList(B) | neq(B,A) | B = A # label(clause100) # label(axiom). [assumption].
% 18.63/18.94 124 A != B | -neq(A,B) | -ssList(B) | -ssList(A) # label(clause115) # label(axiom). [assumption].
% 18.63/18.94 145 -frontsegP(A,B) | -ssList(C) | -ssList(B) | -ssList(A) | frontsegP(app(A,C),B) # label(clause137) # label(axiom). [assumption].
% 18.63/18.94 187 ssList(sk3) # label(co1_3) # label(negated_conjecture). [assumption].
% 18.63/18.94 188 ssList(sk4) # label(co1_4) # label(negated_conjecture). [assumption].
% 18.63/18.94 189 sk2 = sk4 # label(co1_5) # label(negated_conjecture). [assumption].
% 18.63/18.94 190 sk1 = sk3 # label(co1_6) # label(negated_conjecture). [assumption].
% 18.63/18.94 191 neq(sk2,nil) # label(co1_7) # label(negated_conjecture). [assumption].
% 18.63/18.94 192 neq(sk4,nil). [copy(191),rewrite([189(1)])].
% 18.63/18.94 193 -ssList(A) | -neq(A,nil) | -frontsegP(sk2,A) | -frontsegP(sk1,A) # label(co1_8) # label(negated_conjecture). [assumption].
% 18.63/18.94 194 -ssList(A) | -neq(A,nil) | -frontsegP(sk4,A) | -frontsegP(sk3,A). [copy(193),rewrite([189(4),190(6)])].
% 18.63/18.94 195 ssList(sk5) # label(co1_9) # label(negated_conjecture). [assumption].
% 18.63/18.94 196 app(sk3,sk5) = sk4 # label(co1_10) # label(negated_conjecture). [assumption].
% 18.63/18.94 198 nil = sk4 | nil != sk3 # label(co1_13) # label(negated_conjecture). [assumption].
% 18.63/18.94 199 sk4 = nil | sk3 != nil. [copy(198),flip(a),flip(b)].
% 18.63/18.94 258 -frontsegP(A,A) | -ssList(B) | -ssList(A) | frontsegP(app(A,B),A). [factor(145,c,d)].
% 18.63/18.94 1399 -ssList(A) | neq(A,nil) | nil = A. [resolve(109,a,32,a),flip(c)].
% 18.63/18.94 3270 frontsegP(sk3,sk3). [resolve(187,a,85,a)].
% 18.63/18.94 3368 sk4 != nil. [resolve(192,a,124,b),unit_del(b,32),unit_del(c,188)].
% 18.63/18.94 3378 sk3 != nil. [back_unit_del(199),unit_del(a,3368)].
% 18.63/18.94 5282 -ssList(A) | frontsegP(app(sk3,A),sk3). [resolve(3270,a,258,a),unit_del(b,187)].
% 18.63/18.94 60624 neq(sk3,nil). [resolve(1399,a,187,a),flip(b),unit_del(b,3378)].
% 18.63/18.94 60625 -frontsegP(sk4,sk3). [resolve(60624,a,194,b),unit_del(a,187),unit_del(c,3270)].
% 18.63/18.94 148215 $F. [resolve(5282,a,195,a),rewrite([196(3)]),unit_del(a,60625)].
% 18.63/18.94
% 18.63/18.94 % SZS output end Refutation
% 18.63/18.94 ============================== end of proof ==========================
% 18.63/18.94
% 18.63/18.94 ============================== STATISTICS ============================
% 18.63/18.94
% 18.63/18.94 Given=8236. Generated=1247805. Kept=148162. proofs=1.
% 18.63/18.94 Usable=8196. Sos=9463. Demods=431. Limbo=17, Disabled=130708. Hints=0.
% 18.63/18.94 Megabytes=73.55.
% 18.63/18.94 User_CPU=17.25, System_CPU=0.66, Wall_clock=17.
% 18.63/18.94
% 18.63/18.94 ============================== end of statistics =====================
% 18.63/18.94
% 18.63/18.94 ============================== end of search =========================
% 18.63/18.94
% 18.63/18.94 THEOREM PROVED
% 18.63/18.94 % SZS status Unsatisfiable
% 18.63/18.94
% 18.63/18.94 Exiting with 1 proof.
% 18.63/18.94
% 18.63/18.94 Process 1497 exit (max_proofs) Sun Jun 12 15:53:30 2022
% 18.63/18.94 Prover9 interrupted
%------------------------------------------------------------------------------