TSTP Solution File: SWC001-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWC001-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 21:44:41 EDT 2022
% Result : Unsatisfiable 1.51s 1.77s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n014.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 : Sat Jun 11 20:45:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.06 ============================== Prover9 ===============================
% 0.43/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.06 Process 2003 was started by sandbox2 on n014.cluster.edu,
% 0.43/1.06 Sat Jun 11 20:45:09 2022
% 0.43/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1846_n014.cluster.edu".
% 0.43/1.06 ============================== end of head ===========================
% 0.43/1.06
% 0.43/1.06 ============================== INPUT =================================
% 0.43/1.06
% 0.43/1.06 % Reading from file /tmp/Prover9_1846_n014.cluster.edu
% 0.43/1.06
% 0.43/1.06 set(prolog_style_variables).
% 0.43/1.06 set(auto2).
% 0.43/1.06 % set(auto2) -> set(auto).
% 0.43/1.06 % set(auto) -> set(auto_inference).
% 0.43/1.06 % set(auto) -> set(auto_setup).
% 0.43/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.06 % set(auto) -> set(auto_limits).
% 0.43/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.06 % set(auto) -> set(auto_denials).
% 0.43/1.06 % set(auto) -> set(auto_process).
% 0.43/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.06 % set(auto2) -> assign(stats, some).
% 0.43/1.06 % set(auto2) -> clear(echo_input).
% 0.43/1.06 % set(auto2) -> set(quiet).
% 0.43/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.06 % set(auto2) -> clear(print_given).
% 0.43/1.06 assign(lrs_ticks,-1).
% 0.43/1.06 assign(sos_limit,10000).
% 0.43/1.06 assign(order,kbo).
% 0.43/1.06 set(lex_order_vars).
% 0.43/1.06 clear(print_given).
% 0.43/1.06
% 0.43/1.06 % formulas(sos). % not echoed (197 formulas)
% 0.43/1.06
% 0.43/1.06 ============================== end of input ==========================
% 0.43/1.06
% 0.43/1.06 % From the command line: assign(max_seconds, 300).
% 0.43/1.06
% 0.43/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.06
% 0.43/1.06 % Formulas that are not ordinary clauses:
% 0.43/1.06
% 0.43/1.06 ============================== end of process non-clausal formulas ===
% 0.43/1.06
% 0.43/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.06
% 0.43/1.06 ============================== PREDICATE ELIMINATION =================
% 0.43/1.06 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].
% 0.43/1.06 2 equalelemsP(nil) # label(clause1) # label(axiom). [assumption].
% 0.43/1.06 3 -ssItem(A) | equalelemsP(cons(A,nil)) # label(clause64) # label(axiom). [assumption].
% 0.43/1.06 4 skaf79(A) != skaf78(A) | -ssList(A) | equalelemsP(A) # label(clause89) # label(axiom). [assumption].
% 0.43/1.06 5 -ssList(A) | equalelemsP(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A # label(clause142) # label(axiom). [assumption].
% 0.43/1.06 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)].
% 0.43/1.06 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)].
% 0.43/1.06 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)].
% 0.43/1.06 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)].
% 0.43/1.06 6 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].
% 0.43/1.06 7 strictorderP(nil) # label(clause5) # label(axiom). [assumption].
% 0.43/1.06 8 -ssItem(A) | strictorderP(cons(A,nil)) # label(clause68) # label(axiom). [assumption].
% 0.43/1.06 9 -lt(skaf60(A),skaf59(A)) | -ssList(A) | strictorderP(A) # label(clause92) # label(axiom). [assumption].
% 0.43/1.06 10 -lt(skaf59(A),skaf60(A)) | -ssList(A) | strictorderP(A) # label(clause93) # label(axiom). [assumption].
% 0.43/1.06 11 -ssList(A) | strictorderP(A) | app(app(skaf61(A),cons(skaf59(A),skaf62(A))),cons(skaf60(A),skaf63(A))) = A # label(clause165) # label(axiom). [assumption].
% 0.43/1.06 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(6,g,7,a)].
% 0.43/1.06 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(6,g,8,b)].
% 0.43/1.06 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(6,g,9,c)].
% 0.43/1.06 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(6,g,10,c)].
% 0.43/1.06 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(6,g,11,b)].
% 0.43/1.06 12 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].
% 0.43/1.06 13 totalorderP(nil) # label(clause6) # label(axiom). [assumption].
% 0.43/1.06 14 -ssItem(A) | totalorderP(cons(A,nil)) # label(clause69) # label(axiom). [assumption].
% 0.43/1.06 15 -leq(skaf55(A),skaf54(A)) | -ssList(A) | totalorderP(A) # label(clause94) # label(axiom). [assumption].
% 0.43/1.06 16 -leq(skaf54(A),skaf55(A)) | -ssList(A) | totalorderP(A) # label(clause95) # label(axiom). [assumption].
% 0.43/1.06 17 -ssList(A) | totalorderP(A) | app(app(skaf56(A),cons(skaf54(A),skaf57(A))),cons(skaf55(A),skaf58(A))) = A # label(clause166) # label(axiom). [assumption].
% 0.43/1.06 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(12,g,13,a)].
% 0.43/1.06 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(12,g,14,b)].
% 0.43/1.06 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(12,g,15,c)].
% 0.43/1.06 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(12,g,16,c)].
% 0.43/1.06 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(12,g,17,b)].
% 0.43/1.06 18 -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].
% 0.43/1.06 19 cyclefreeP(nil) # label(clause7) # label(axiom). [assumption].
% 0.43/1.06 20 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(clause70) # label(axiom). [assumption].
% 0.43/1.06 21 -ssList(A) | cyclefreeP(A) | leq(skaf50(A),skaf49(A)) # label(clause87) # label(axiom). [assumption].
% 0.43/1.06 22 -ssList(A) | cyclefreeP(A) | leq(skaf49(A),skaf50(A)) # label(clause88) # label(axiom). [assumption].
% 0.43/1.06 23 -ssList(A) | cyclefreeP(A) | app(app(skaf51(A),cons(skaf49(A),skaf52(A))),cons(skaf50(A),skaf53(A))) = A # label(clause167) # label(axiom). [assumption].
% 0.43/1.06 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(18,i,19,a)].
% 0.43/1.06 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(18,i,20,b)].
% 1.51/1.77 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(18,i,21,b)].
% 1.51/1.77 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(18,i,22,b)].
% 1.51/1.77 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(18,i,23,b)].
% 1.51/1.77 24 A != B | -neq(A,B) | -ssList(B) | -ssList(A) # label(clause115) # label(axiom). [assumption].
% 1.51/1.77 25 -ssList(A) | -ssList(B) | neq(B,A) | B = A # label(clause100) # label(axiom). [assumption].
% 1.51/1.77 26 -ssItem(A) | -ssItem(B) | neq(B,A) | B = A # label(clause102) # label(axiom). [assumption].
% 1.51/1.77 27 A != B | -neq(A,B) | -ssItem(B) | -ssItem(A) # label(clause117) # label(axiom). [assumption].
% 1.51/1.77
% 1.51/1.77 ============================== end predicate elimination =============
% 1.51/1.77
% 1.51/1.77 Auto_denials: (non-Horn, no changes).
% 1.51/1.77
% 1.51/1.77 Term ordering decisions:
% 1.51/1.77 Function symbol KB weights: nil=1. sk1=1. sk3=1. sk4=1. sk2=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.
% 1.51/1.77
% 1.51/1.77 ============================== end of process initial clauses ========
% 1.51/1.77
% 1.51/1.77 ============================== CLAUSES FOR SEARCH ====================
% 1.51/1.77
% 1.51/1.77 ============================== end of clauses for search =============
% 1.51/1.77
% 1.51/1.77 ============================== SEARCH ================================
% 1.51/1.77
% 1.51/1.77 % Starting search at 0.18 seconds.
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=28.000, iters=3654
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=26.000, iters=3561
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=24.000, iters=3400
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=22.000, iters=3392
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=21.000, iters=3630
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=20.000, iters=3707
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=18.000, iters=3678
% 1.51/1.77
% 1.51/1.77 Low Water (keep): wt=17.000, iters=3425
% 1.51/1.77
% 1.51/1.77 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 197 (0.00 of 0.65 sec).
% 1.51/1.77
% 1.51/1.77 ============================== PROOF =================================
% 1.51/1.77 % SZS status Unsatisfiable
% 1.51/1.77 % SZS output start Refutation
% 1.51/1.77
% 1.51/1.77 % Proof 1 at 0.72 (+ 0.02) seconds.
% 1.51/1.77 % Length of proof is 18.
% 1.51/1.77 % Level of proof is 6.
% 1.51/1.77 % Maximum clause weight is 8.000.
% 1.51/1.77 % Given clauses 798.
% 1.51/1.77
% 1.51/1.77 188 sk2 = sk4 # label(co1_5) # label(negated_conjecture). [assumption].
% 1.51/1.77 189 sk1 = sk3 # label(co1_6) # label(negated_conjecture). [assumption].
% 1.51/1.77 190 sk3 = sk1. [copy(189),flip(a)].
% 1.51/1.77 191 duplicatefreeP(sk3) # label(co1_7) # label(negated_conjecture). [assumption].
% 1.51/1.77 192 duplicatefreeP(sk1). [copy(191),rewrite([190(1)])].
% 1.51/1.77 193 -ssItem(A) | memberP(sk4,A) | -memberP(sk3,A) # label(co1_8) # label(negated_conjecture). [assumption].
% 1.51/1.77 194 -ssItem(A) | memberP(sk4,A) | -memberP(sk1,A). [copy(193),rewrite([190(4)])].
% 1.51/1.77 195 -ssItem(A) | memberP(sk3,A) | -memberP(sk4,A) # label(co1_9) # label(negated_conjecture). [assumption].
% 1.51/1.77 196 -ssItem(A) | memberP(sk1,A) | -memberP(sk4,A). [copy(195),rewrite([190(2)])].
% 1.51/1.77 197 ssItem(sk5) | -duplicatefreeP(sk1) # label(co1_10) # label(negated_conjecture). [assumption].
% 1.51/1.77 198 ssItem(sk5). [copy(197),unit_del(b,192)].
% 1.51/1.77 199 memberP(sk2,sk5) | memberP(sk1,sk5) | -duplicatefreeP(sk1) # label(co1_11) # label(negated_conjecture). [assumption].
% 1.51/1.77 200 memberP(sk4,sk5) | memberP(sk1,sk5). [copy(199),rewrite([188(1)]),unit_del(c,192)].
% 1.51/1.77 201 -memberP(sk2,sk5) | -memberP(sk1,sk5) | -duplicatefreeP(sk1) # label(co1_12) # label(negated_conjecture). [assumption].
% 1.51/1.77 202 -memberP(sk4,sk5) | -memberP(sk1,sk5). [copy(201),rewrite([188(1)]),unit_del(c,192)].
% 1.51/1.77 3396 memberP(sk1,sk5). [resolve(200,a,196,c),merge(c),unit_del(b,198)].
% 1.51/1.77 3397 -memberP(sk4,sk5). [back_unit_del(202),unit_del(b,3396)].
% 1.51/1.77 4625 $F. [resolve(3396,a,194,c),unit_del(a,198),unit_del(b,3397)].
% 1.51/1.77
% 1.51/1.77 % SZS output end Refutation
% 1.51/1.77 ============================== end of proof ==========================
% 1.51/1.77
% 1.51/1.77 ============================== STATISTICS ============================
% 1.51/1.77
% 1.51/1.77 Given=798. Generated=16328. Kept=4574. proofs=1.
% 1.51/1.77 Usable=797. Sos=3751. Demods=99. Limbo=1, Disabled=241. Hints=0.
% 1.51/1.77 Megabytes=7.83.
% 1.51/1.77 User_CPU=0.72, System_CPU=0.02, Wall_clock=0.
% 1.51/1.77
% 1.51/1.77 ============================== end of statistics =====================
% 1.51/1.77
% 1.51/1.77 ============================== end of search =========================
% 1.51/1.77
% 1.51/1.77 THEOREM PROVED
% 1.51/1.77 % SZS status Unsatisfiable
% 1.51/1.77
% 1.51/1.77 Exiting with 1 proof.
% 1.51/1.77
% 1.51/1.77 Process 2003 exit (max_proofs) Sat Jun 11 20:45:09 2022
% 1.51/1.77 Prover9 interrupted
%------------------------------------------------------------------------------