TSTP Solution File: SWC227-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWC227-1 : 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 21:46:07 EDT 2022

% Result   : Timeout 300.03s 300.35s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC227-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % 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 : Sun Jun 12 23:49:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.46/1.06  ============================== Prover9 ===============================
% 0.46/1.06  Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.06  Process 2952 was started by sandbox on n014.cluster.edu,
% 0.46/1.06  Sun Jun 12 23:49:08 2022
% 0.46/1.06  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2798_n014.cluster.edu".
% 0.46/1.06  ============================== end of head ===========================
% 0.46/1.06  
% 0.46/1.06  ============================== INPUT =================================
% 0.46/1.06  
% 0.46/1.06  % Reading from file /tmp/Prover9_2798_n014.cluster.edu
% 0.46/1.06  
% 0.46/1.06  set(prolog_style_variables).
% 0.46/1.06  set(auto2).
% 0.46/1.06      % set(auto2) -> set(auto).
% 0.46/1.06      % set(auto) -> set(auto_inference).
% 0.46/1.06      % set(auto) -> set(auto_setup).
% 0.46/1.06      % set(auto_setup) -> set(predicate_elim).
% 0.46/1.06      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.06      % set(auto) -> set(auto_limits).
% 0.46/1.06      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.06      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.06      % set(auto) -> set(auto_denials).
% 0.46/1.06      % set(auto) -> set(auto_process).
% 0.46/1.06      % set(auto2) -> assign(new_constants, 1).
% 0.46/1.06      % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.06      % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.06      % set(auto2) -> assign(max_hours, 1).
% 0.46/1.06      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.06      % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.06      % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.06      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.06      % set(auto2) -> set(sort_initial_sos).
% 0.46/1.06      % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.06      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.06      % set(auto2) -> assign(max_megs, 400).
% 0.46/1.06      % set(auto2) -> assign(stats, some).
% 0.46/1.06      % set(auto2) -> clear(echo_input).
% 0.46/1.06      % set(auto2) -> set(quiet).
% 0.46/1.06      % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.06      % set(auto2) -> clear(print_given).
% 0.46/1.06  assign(lrs_ticks,-1).
% 0.46/1.06  assign(sos_limit,10000).
% 0.46/1.06  assign(order,kbo).
% 0.46/1.06  set(lex_order_vars).
% 0.46/1.06  clear(print_given).
% 0.46/1.06  
% 0.46/1.06  % formulas(sos).  % not echoed (204 formulas)
% 0.46/1.06  
% 0.46/1.06  ============================== end of input ==========================
% 0.46/1.06  
% 0.46/1.06  % From the command line: assign(max_seconds, 300).
% 0.46/1.06  
% 0.46/1.06  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.06  
% 0.46/1.06  % Formulas that are not ordinary clauses:
% 0.46/1.06  
% 0.46/1.06  ============================== end of process non-clausal formulas ===
% 0.46/1.06  
% 0.46/1.06  ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.06  
% 0.46/1.06  ============================== PREDICATE ELIMINATION =================
% 0.46/1.06  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].
% 0.46/1.06  2 equalelemsP(nil) # label(clause1) # label(axiom).  [assumption].
% 0.46/1.06  3 -ssItem(A) | equalelemsP(cons(A,nil)) # label(clause64) # label(axiom).  [assumption].
% 0.46/1.06  4 skaf79(A) != skaf78(A) | -ssList(A) | equalelemsP(A) # label(clause89) # label(axiom).  [assumption].
% 0.46/1.06  5 -ssList(A) | equalelemsP(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A # label(clause142) # label(axiom).  [assumption].
% 0.46/1.06  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)].
% 0.46/1.06  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)].
% 0.46/1.06  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)].
% 0.46/1.06  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)].
% 0.46/1.06  6 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].
% 0.46/1.06  7 duplicatefreeP(nil) # label(clause2) # label(axiom).  [assumption].
% 0.46/1.06  8 -ssItem(A) | duplicatefreeP(cons(A,nil)) # label(clause65) # label(axiom).  [assumption].
% 0.46/1.06  9 -ssList(A) | duplicatefreeP(A) | ssItem(B) # label(clause72) # label(axiom).  [assumption].
% 0.46/1.06  10 -ssList(A) | duplicatefreeP(A) | app(app(skaf75(A),cons(skaf74(A),skaf76(A))),cons(skaf74(A),skaf77(A))) = A # label(clause162) # label(axiom).  [assumption].
% 0.46/1.07  Derived: app(app(A,cons(B,C)),cons(B,D)) != nil | -ssList(D) | -ssList(C) | -ssList(A) | -ssItem(B) | -ssList(nil).  [resolve(6,f,7,a)].
% 0.46/1.07  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(6,f,8,b)].
% 0.46/1.07  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(6,f,9,b)].
% 0.46/1.07  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(6,f,10,b)].
% 0.46/1.07  11 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].
% 0.46/1.07  12 strictorderP(nil) # label(clause5) # label(axiom).  [assumption].
% 0.46/1.07  13 -ssItem(A) | strictorderP(cons(A,nil)) # label(clause68) # label(axiom).  [assumption].
% 0.46/1.07  14 -lt(skaf60(A),skaf59(A)) | -ssList(A) | strictorderP(A) # label(clause92) # label(axiom).  [assumption].
% 0.46/1.07  15 -lt(skaf59(A),skaf60(A)) | -ssList(A) | strictorderP(A) # label(clause93) # label(axiom).  [assumption].
% 0.46/1.07  16 -ssList(A) | strictorderP(A) | app(app(skaf61(A),cons(skaf59(A),skaf62(A))),cons(skaf60(A),skaf63(A))) = A # label(clause165) # label(axiom).  [assumption].
% 0.46/1.07  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(11,g,12,a)].
% 0.46/1.07  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(11,g,13,b)].
% 0.46/1.07  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(11,g,14,c)].
% 0.46/1.07  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(11,g,15,c)].
% 0.46/1.07  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(11,g,16,b)].
% 0.46/1.07  17 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].
% 0.46/1.07  18 totalorderP(nil) # label(clause6) # label(axiom).  [assumption].
% 0.46/1.07  19 -ssItem(A) | totalorderP(cons(A,nil)) # label(clause69) # label(axiom).  [assumption].
% 0.46/1.07  20 -leq(skaf55(A),skaf54(A)) | -ssList(A) | totalorderP(A) # label(clause94) # label(axiom).  [assumption].
% 0.46/1.07  21 -leq(skaf54(A),skaf55(A)) | -ssList(A) | totalorderP(A) # label(clause95) # label(axiom).  [assumption].
% 0.46/1.07  22 -ssList(A) | totalorderP(A) | app(app(skaf56(A),cons(skaf54(A),skaf57(A))),cons(skaf55(A),skaf58(A))) = A # label(clause166) # label(axiom).  [assumption].
% 0.46/1.07  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(17,g,18,a)].
% 0.46/1.07  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(17,g,19,b)].
% 0.46/1.07  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(17,g,20,c)].
% 0.46/1.07  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(skaf54(F),skaf55(F)) | -ssList(F).  [resolve(17,g,21,c)].
% 2.26/2.51  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(17,g,22,b)].
% 2.26/2.51  23 -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].
% 2.26/2.51  24 cyclefreeP(nil) # label(clause7) # label(axiom).  [assumption].
% 2.26/2.51  25 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(clause70) # label(axiom).  [assumption].
% 2.26/2.51  26 -ssList(A) | cyclefreeP(A) | leq(skaf50(A),skaf49(A)) # label(clause87) # label(axiom).  [assumption].
% 2.26/2.51  27 -ssList(A) | cyclefreeP(A) | leq(skaf49(A),skaf50(A)) # label(clause88) # label(axiom).  [assumption].
% 2.26/2.51  28 -ssList(A) | cyclefreeP(A) | app(app(skaf51(A),cons(skaf49(A),skaf52(A))),cons(skaf50(A),skaf53(A))) = A # label(clause167) # label(axiom).  [assumption].
% 2.26/2.51  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(23,i,24,a)].
% 2.26/2.51  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(23,i,25,b)].
% 2.26/2.51  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(23,i,26,b)].
% 2.26/2.51  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(23,i,27,b)].
% 2.26/2.51  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(23,i,28,b)].
% 2.26/2.51  29 A != B | -neq(A,B) | -ssList(B) | -ssList(A) # label(clause115) # label(axiom).  [assumption].
% 2.26/2.51  30 -ssList(A) | -ssList(B) | neq(B,A) | B = A # label(clause100) # label(axiom).  [assumption].
% 2.26/2.51  31 -ssItem(A) | -ssItem(B) | neq(B,A) | B = A # label(clause102) # label(axiom).  [assumption].
% 2.26/2.51  32 A != B | -neq(A,B) | -ssItem(B) | -ssItem(A) # label(clause117) # label(axiom).  [assumption].
% 2.26/2.51  
% 2.26/2.51  ============================== end predicate elimination =============
% 2.26/2.51  
% 2.26/2.51  Auto_denials:  (non-Horn, no changes).
% 2.26/2.51  
% 2.26/2.51  Term ordering decisions:
% 2.26/2.51  Function symbol KB weights:  nil=1. sk1=1. sk3=1. sk4=1. sk2=1. sk6=1. sk7=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. sk5=1.
% 2.26/2.51  
% 2.26/2.51  ============================== end of process initial clauses ========
% 2.26/2.51  
% 2.26/2.51  ============================== CLAUSES FOR SEARCH ====================
% 2.26/2.51  
% 2.26/2.51  ============================== end of clauses for search =============
% 2.26/2.51  
% 2.26/2.51  ============================== SEARCH ================================
% 2.26/2.51  
% 2.26/2.51  % Starting search at 0.20 seconds.
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=28.000, iters=3715
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=26.000, iters=3715
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=25.000, iters=3714
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=23.000, iters=3511
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=21.000, iters=3479
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=18.000, iters=3334
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=17.000, iters=3346
% 2.26/2.51  
% 2.26/2.51  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 417 (0.00 of 0.78 sec).
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=16.000, iters=3751
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=15.000, iters=3381
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=14.000, iters=3688
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=13.000, iters=3384
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): wt=12.000, iters=3342
% 2.26/2.51  
% 2.26/2.51  Low Water (keep): Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------