TSTP Solution File: SWC359-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWC359-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 21:46:54 EDT 2022
% Result : Unsatisfiable 0.41s 1.03s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC359-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 13 00:22:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.00 ============================== Prover9 ===============================
% 0.41/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.41/1.00 Process 24733 was started by sandbox2 on n009.cluster.edu,
% 0.41/1.00 Mon Jun 13 00:22:53 2022
% 0.41/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24580_n009.cluster.edu".
% 0.41/1.00 ============================== end of head ===========================
% 0.41/1.00
% 0.41/1.00 ============================== INPUT =================================
% 0.41/1.00
% 0.41/1.00 % Reading from file /tmp/Prover9_24580_n009.cluster.edu
% 0.41/1.00
% 0.41/1.00 set(prolog_style_variables).
% 0.41/1.00 set(auto2).
% 0.41/1.00 % set(auto2) -> set(auto).
% 0.41/1.00 % set(auto) -> set(auto_inference).
% 0.41/1.00 % set(auto) -> set(auto_setup).
% 0.41/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.41/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/1.00 % set(auto) -> set(auto_limits).
% 0.41/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/1.00 % set(auto) -> set(auto_denials).
% 0.41/1.00 % set(auto) -> set(auto_process).
% 0.41/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.41/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.41/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.41/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.41/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.41/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.41/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.41/1.00 % set(auto2) -> assign(stats, some).
% 0.41/1.00 % set(auto2) -> clear(echo_input).
% 0.41/1.00 % set(auto2) -> set(quiet).
% 0.41/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.41/1.00 % set(auto2) -> clear(print_given).
% 0.41/1.00 assign(lrs_ticks,-1).
% 0.41/1.00 assign(sos_limit,10000).
% 0.41/1.00 assign(order,kbo).
% 0.41/1.00 set(lex_order_vars).
% 0.41/1.00 clear(print_given).
% 0.41/1.00
% 0.41/1.00 % formulas(sos). % not echoed (196 formulas)
% 0.41/1.00
% 0.41/1.00 ============================== end of input ==========================
% 0.41/1.00
% 0.41/1.00 % From the command line: assign(max_seconds, 300).
% 0.41/1.00
% 0.41/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/1.00
% 0.41/1.00 % Formulas that are not ordinary clauses:
% 0.41/1.00
% 0.41/1.00 ============================== end of process non-clausal formulas ===
% 0.41/1.00
% 0.41/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/1.00
% 0.41/1.00 ============================== PREDICATE ELIMINATION =================
% 0.41/1.00 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].
% 0.41/1.00 2 equalelemsP(nil) # label(clause1) # label(axiom). [assumption].
% 0.41/1.00 3 -ssItem(A) | equalelemsP(cons(A,nil)) # label(clause64) # label(axiom). [assumption].
% 0.41/1.00 4 skaf79(A) != skaf78(A) | -ssList(A) | equalelemsP(A) # label(clause89) # label(axiom). [assumption].
% 0.41/1.00 5 -ssList(A) | equalelemsP(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A # label(clause142) # label(axiom). [assumption].
% 0.41/1.00 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)].
% 0.41/1.00 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)].
% 0.41/1.00 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)].
% 0.41/1.00 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)].
% 0.41/1.00 6 equalelemsP(sk3) # label(co1_9) # label(negated_conjecture). [assumption].
% 0.41/1.00 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)].
% 0.41/1.00 7 -ssList(A) | -neq(sk3,A) | -segmentP(sk4,A) | -segmentP(A,sk3) | -equalelemsP(A) # label(co1_10) # label(negated_conjecture). [assumption].
% 0.41/1.00 Derived: -ssList(nil) | -neq(sk3,nil) | -segmentP(sk4,nil) | -segmentP(nil,sk3). [resolve(7,e,2,a)].
% 0.41/1.00 Derived: -ssList(cons(A,nil)) | -neq(sk3,cons(A,nil)) | -segmentP(sk4,cons(A,nil)) | -segmentP(cons(A,nil),sk3) | -ssItem(A). [resolve(7,e,3,b)].
% 0.41/1.01 Derived: -ssList(A) | -neq(sk3,A) | -segmentP(sk4,A) | -segmentP(A,sk3) | skaf79(A) != skaf78(A) | -ssList(A). [resolve(7,e,4,c)].
% 0.41/1.01 Derived: -ssList(A) | -neq(sk3,A) | -segmentP(sk4,A) | -segmentP(A,sk3) | -ssList(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A. [resolve(7,e,5,b)].
% 0.41/1.01 Derived: -ssList(sk3) | -neq(sk3,sk3) | -segmentP(sk4,sk3) | -segmentP(sk3,sk3). [resolve(7,e,6,a)].
% 0.41/1.01 8 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].
% 0.41/1.01 9 duplicatefreeP(nil) # label(clause2) # label(axiom). [assumption].
% 0.41/1.01 10 -ssItem(A) | duplicatefreeP(cons(A,nil)) # label(clause65) # label(axiom). [assumption].
% 0.41/1.01 11 -ssList(A) | duplicatefreeP(A) | ssItem(B) # label(clause72) # label(axiom). [assumption].
% 0.41/1.01 12 -ssList(A) | duplicatefreeP(A) | app(app(skaf75(A),cons(skaf74(A),skaf76(A))),cons(skaf74(A),skaf77(A))) = A # label(clause162) # label(axiom). [assumption].
% 0.41/1.01 Derived: app(app(A,cons(B,C)),cons(B,D)) != nil | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(nil). [resolve(8,f,9,a)].
% 0.41/1.01 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(8,f,10,b)].
% 0.41/1.01 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(8,f,11,b)].
% 0.41/1.01 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(8,f,12,b)].
% 0.41/1.01 13 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].
% 0.41/1.01 14 strictorderP(nil) # label(clause5) # label(axiom). [assumption].
% 0.41/1.01 15 -ssItem(A) | strictorderP(cons(A,nil)) # label(clause68) # label(axiom). [assumption].
% 0.41/1.01 16 -lt(skaf60(A),skaf59(A)) | -ssList(A) | strictorderP(A) # label(clause92) # label(axiom). [assumption].
% 0.41/1.01 17 -lt(skaf59(A),skaf60(A)) | -ssList(A) | strictorderP(A) # label(clause93) # label(axiom). [assumption].
% 0.41/1.01 18 -ssList(A) | strictorderP(A) | app(app(skaf61(A),cons(skaf59(A),skaf62(A))),cons(skaf60(A),skaf63(A))) = A # label(clause165) # label(axiom). [assumption].
% 0.41/1.01 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(13,g,14,a)].
% 0.41/1.01 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(13,g,15,b)].
% 0.41/1.01 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(13,g,16,c)].
% 0.41/1.01 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(13,g,17,c)].
% 0.41/1.01 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(13,g,18,b)].
% 0.41/1.01 19 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].
% 0.41/1.01 20 totalorderP(nil) # label(clause6) # label(axiom). [assumption].
% 0.41/1.01 21 -ssItem(A) | totalorderP(cons(A,nil)) # label(clause69) # label(axiom). [assumption].
% 0.41/1.01 22 -leq(skaf55(A),skaf54(A)) | -ssList(A) | totalorderP(A) # label(clause94) # label(axiom). [assumption].
% 0.41/1.01 23 -leq(skaf54(A),skaf55(A)) | -ssList(A) | totalorderP(A) # label(clause95) # label(axiom). [assumption].
% 0.41/1.03 24 -ssList(A) | totalorderP(A) | app(app(skaf56(A),cons(skaf54(A),skaf57(A))),cons(skaf55(A),skaf58(A))) = A # label(clause166) # label(axiom). [assumption].
% 0.41/1.03 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(19,g,20,a)].
% 0.41/1.03 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(19,g,21,b)].
% 0.41/1.03 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(19,g,22,c)].
% 0.41/1.03 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(19,g,23,c)].
% 0.41/1.03 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(19,g,24,b)].
% 0.41/1.03 25 -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].
% 0.41/1.03 26 cyclefreeP(nil) # label(clause7) # label(axiom). [assumption].
% 0.41/1.03 27 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(clause70) # label(axiom). [assumption].
% 0.41/1.03 28 -ssList(A) | cyclefreeP(A) | leq(skaf50(A),skaf49(A)) # label(clause87) # label(axiom). [assumption].
% 0.41/1.03 29 -ssList(A) | cyclefreeP(A) | leq(skaf49(A),skaf50(A)) # label(clause88) # label(axiom). [assumption].
% 0.41/1.03 30 -ssList(A) | cyclefreeP(A) | app(app(skaf51(A),cons(skaf49(A),skaf52(A))),cons(skaf50(A),skaf53(A))) = A # label(clause167) # label(axiom). [assumption].
% 0.41/1.03 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(25,i,26,a)].
% 0.41/1.03 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(25,i,27,b)].
% 0.41/1.03 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(25,i,28,b)].
% 0.41/1.03 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(25,i,29,b)].
% 0.41/1.03 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(25,i,30,b)].
% 0.41/1.03
% 0.41/1.03 ============================== end predicate elimination =============
% 0.41/1.03
% 0.41/1.03 Auto_denials: (non-Horn, no changes).
% 0.41/1.03
% 0.41/1.03 Term ordering decisions:
% 0.41/1.03 Function symbol KB weights: nil=1. sk3=1. sk4=1. sk2=1. sk1=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. skaf78=1. skaf79=1. skaf64=1. skaf65=1. skaf69=1. skaf70=1. skaf74=1. skaf80=1. skaf81=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. skaf82=1. skaf83=1.
% 0.41/1.03
% 0.41/1.03 ============================== PROOF =================================
% 0.41/1.03 % SZS status Unsatisfiable
% 0.41/1.03 % SZS output start Refutation
% 0.41/1.03
% 0.41/1.03 % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.41/1.03 % Length of proof is 5.
% 0.41/1.03 % Level of proof is 1.
% 0.41/1.03 % Maximum clause weight is 3.000.
% 0.41/1.03 % Given clauses 0.
% 0.41/1.03
% 0.41/1.03 190 sk2 = sk4 # label(co1_5) # label(negated_conjecture). [assumption].
% 0.41/1.03 191 sk1 = sk3 # label(co1_6) # label(negated_conjecture). [assumption].
% 0.41/1.03 194 segmentP(sk4,sk3) # label(co1_8) # label(negated_conjecture). [assumption].
% 0.41/1.03 195 -segmentP(sk2,sk1) # label(co1_11) # label(negated_conjecture). [assumption].
% 0.41/1.03 196 $F. [copy(195),rewrite([190(1),191(2)]),unit_del(a,194)].
% 0.41/1.03
% 0.41/1.03 % SZS output end Refutation
% 0.41/1.03 ============================== end of proof ==========================
% 0.41/1.03
% 0.41/1.03 ============================== STATISTICS ============================
% 0.41/1.03
% 0.41/1.03 Given=0. Generated=166. Kept=162. proofs=1.
% 0.41/1.03 Usable=0. Sos=0. Demods=2. Limbo=162, Disabled=196. Hints=0.
% 0.41/1.03 Megabytes=0.47.
% 0.41/1.03 User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.41/1.03
% 0.41/1.03 ============================== end of statistics =====================
% 0.41/1.03
% 0.41/1.03 ============================== end of search =========================
% 0.41/1.03
% 0.41/1.03 THEOREM PROVED
% 0.41/1.03 % SZS status Unsatisfiable
% 0.41/1.03
% 0.41/1.03 Exiting with 1 proof.
% 0.41/1.03
% 0.41/1.03 Process 24733 exit (max_proofs) Mon Jun 13 00:22:53 2022
% 0.41/1.03 Prover9 interrupted
%------------------------------------------------------------------------------