TSTP Solution File: SWC370-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWC370-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 21:46:58 EDT 2022

% Result   : Unsatisfiable 119.34s 119.67s
% Output   : Refutation 119.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SWC370-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 02:22:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.45/1.07  ============================== Prover9 ===============================
% 0.45/1.07  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.07  Process 5781 was started by sandbox2 on n017.cluster.edu,
% 0.45/1.07  Sun Jun 12 02:22:22 2022
% 0.45/1.07  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5627_n017.cluster.edu".
% 0.45/1.07  ============================== end of head ===========================
% 0.45/1.07  
% 0.45/1.07  ============================== INPUT =================================
% 0.45/1.07  
% 0.45/1.07  % Reading from file /tmp/Prover9_5627_n017.cluster.edu
% 0.45/1.07  
% 0.45/1.07  set(prolog_style_variables).
% 0.45/1.07  set(auto2).
% 0.45/1.07      % set(auto2) -> set(auto).
% 0.45/1.07      % set(auto) -> set(auto_inference).
% 0.45/1.07      % set(auto) -> set(auto_setup).
% 0.45/1.07      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.07      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.07      % set(auto) -> set(auto_limits).
% 0.45/1.07      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.07      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.07      % set(auto) -> set(auto_denials).
% 0.45/1.07      % set(auto) -> set(auto_process).
% 0.45/1.07      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.07      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.07      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.07      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.07      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.07      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.07      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.07      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.07      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.07      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.07      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.07      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.07      % set(auto2) -> assign(stats, some).
% 0.45/1.07      % set(auto2) -> clear(echo_input).
% 0.45/1.07      % set(auto2) -> set(quiet).
% 0.45/1.07      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.07      % set(auto2) -> clear(print_given).
% 0.45/1.07  assign(lrs_ticks,-1).
% 0.45/1.07  assign(sos_limit,10000).
% 0.45/1.07  assign(order,kbo).
% 0.45/1.07  set(lex_order_vars).
% 0.45/1.07  clear(print_given).
% 0.45/1.07  
% 0.45/1.07  % formulas(sos).  % not echoed (197 formulas)
% 0.45/1.07  
% 0.45/1.07  ============================== end of input ==========================
% 0.45/1.07  
% 0.45/1.07  % From the command line: assign(max_seconds, 300).
% 0.45/1.07  
% 0.45/1.07  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.07  
% 0.45/1.07  % Formulas that are not ordinary clauses:
% 0.45/1.07  
% 0.45/1.07  ============================== end of process non-clausal formulas ===
% 0.45/1.07  
% 0.45/1.07  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.07  
% 0.45/1.07  ============================== PREDICATE ELIMINATION =================
% 0.45/1.07  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].
% 0.45/1.07  2 equalelemsP(nil) # label(clause1) # label(axiom).  [assumption].
% 0.45/1.07  3 -ssItem(A) | equalelemsP(cons(A,nil)) # label(clause64) # label(axiom).  [assumption].
% 0.45/1.07  4 skaf79(A) != skaf78(A) | -ssList(A) | equalelemsP(A) # label(clause89) # label(axiom).  [assumption].
% 0.45/1.07  5 -ssList(A) | equalelemsP(A) | app(skaf80(A),cons(skaf78(A),cons(skaf79(A),skaf81(A)))) = A # label(clause142) # label(axiom).  [assumption].
% 0.45/1.07  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)].
% 0.45/1.07  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)].
% 0.45/1.07  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)].
% 0.45/1.07  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)].
% 0.45/1.07  6 equalelemsP(sk3) # label(co1_9) # label(negated_conjecture).  [assumption].
% 0.45/1.07  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)].
% 0.45/1.07  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].
% 0.45/1.07  8 duplicatefreeP(nil) # label(clause2) # label(axiom).  [assumption].
% 0.45/1.07  9 -ssItem(A) | duplicatefreeP(cons(A,nil)) # label(clause65) # label(axiom).  [assumption].
% 0.45/1.08  10 -ssList(A) | duplicatefreeP(A) | ssItem(B) # label(clause72) # label(axiom).  [assumption].
% 0.45/1.08  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].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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].
% 0.45/1.08  13 strictorderP(nil) # label(clause5) # label(axiom).  [assumption].
% 0.45/1.08  14 -ssItem(A) | strictorderP(cons(A,nil)) # label(clause68) # label(axiom).  [assumption].
% 0.45/1.08  15 -lt(skaf60(A),skaf59(A)) | -ssList(A) | strictorderP(A) # label(clause92) # label(axiom).  [assumption].
% 0.45/1.08  16 -lt(skaf59(A),skaf60(A)) | -ssList(A) | strictorderP(A) # label(clause93) # label(axiom).  [assumption].
% 0.45/1.08  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].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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].
% 0.45/1.08  19 totalorderP(nil) # label(clause6) # label(axiom).  [assumption].
% 0.45/1.08  20 -ssItem(A) | totalorderP(cons(A,nil)) # label(clause69) # label(axiom).  [assumption].
% 0.45/1.08  21 -leq(skaf55(A),skaf54(A)) | -ssList(A) | totalorderP(A) # label(clause94) # label(axiom).  [assumption].
% 0.45/1.08  22 -leq(skaf54(A),skaf55(A)) | -ssList(A) | totalorderP(A) # label(clause95) # label(axiom).  [assumption].
% 0.45/1.08  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].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 0.45/1.08  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)].
% 1.72/2.01  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)].
% 1.72/2.01  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)].
% 1.72/2.01  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].
% 1.72/2.01  25 cyclefreeP(nil) # label(clause7) # label(axiom).  [assumption].
% 1.72/2.01  26 -ssItem(A) | cyclefreeP(cons(A,nil)) # label(clause70) # label(axiom).  [assumption].
% 1.72/2.01  27 -ssList(A) | cyclefreeP(A) | leq(skaf50(A),skaf49(A)) # label(clause87) # label(axiom).  [assumption].
% 1.72/2.01  28 -ssList(A) | cyclefreeP(A) | leq(skaf49(A),skaf50(A)) # label(clause88) # label(axiom).  [assumption].
% 1.72/2.01  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].
% 1.72/2.01  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)].
% 1.72/2.01  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)].
% 1.72/2.01  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)].
% 1.72/2.01  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)].
% 1.72/2.01  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)].
% 1.72/2.01  30 A != B | -neq(A,B) | -ssList(B) | -ssList(A) # label(clause115) # label(axiom).  [assumption].
% 1.72/2.01  31 -ssList(A) | -ssList(B) | neq(B,A) | B = A # label(clause100) # label(axiom).  [assumption].
% 1.72/2.01  32 -ssItem(A) | -ssItem(B) | neq(B,A) | B = A # label(clause102) # label(axiom).  [assumption].
% 1.72/2.01  33 A != B | -neq(A,B) | -ssItem(B) | -ssItem(A) # label(clause117) # label(axiom).  [assumption].
% 1.72/2.01  
% 1.72/2.01  ============================== end predicate elimination =============
% 1.72/2.01  
% 1.72/2.01  Auto_denials:  (non-Horn, no changes).
% 1.72/2.01  
% 1.72/2.01  Term ordering decisions:
% 1.72/2.01  Function symbol KB weights:  nil=1. sk3=1. sk4=1. sk1=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.
% 1.72/2.01  
% 1.72/2.01  ============================== end of process initial clauses ========
% 1.72/2.01  
% 1.72/2.01  ============================== CLAUSES FOR SEARCH ====================
% 1.72/2.01  
% 1.72/2.01  ============================== end of clauses for search =============
% 1.72/2.01  
% 1.72/2.01  ============================== SEARCH ================================
% 1.72/2.01  
% 1.72/2.01  % Starting search at 0.18 seconds.
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=28.000, iters=3634
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=24.000, iters=3386
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=22.000, iters=3367
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=21.000, iters=3898
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=20.000, iters=3862
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=18.000, iters=3654
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=17.000, iters=3371
% 1.72/2.01  
% 1.72/2.01  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 500 (0.00 of 0.84 sec).
% 1.72/2.01  
% 1.72/2.01  Low Water (keep): wt=16.000, iters=3519
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=15.000, iters=3334
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=14.000, iters=3376
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=13.000, iters=3340
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=12.000, iters=3357
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=11.000, iters=3432
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=10.000, iters=3396
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=2478, wt=32.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3671, wt=29.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3746, wt=28.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3749, wt=26.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3122, wt=25.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3747, wt=24.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=4427, wt=23.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3743, wt=22.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=4519, wt=21.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3781, wt=20.000
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=9.000, iters=3378
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=9828, wt=19.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3369, wt=18.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=8585, wt=17.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3371, wt=16.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=8570, wt=15.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=3902, wt=13.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=13938, wt=11.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=9854, wt=10.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=14416, wt=9.000
% 119.34/119.67  
% 119.34/119.67  Low Water (displace): id=14574, wt=7.000
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=8.000, iters=3357
% 119.34/119.67  
% 119.34/119.67  Low Water (keep): wt=7.000, iters=3334
% 119.34/119.67  
% 119.34/119.67  ============================== PROOF =================================
% 119.34/119.67  % SZS status Unsatisfiable
% 119.34/119.67  % SZS output start Refutation
% 119.34/119.67  
% 119.34/119.67  % Proof 1 at 111.97 (+ 6.65) seconds.
% 119.34/119.67  % Length of proof is 17.
% 119.34/119.67  % Level of proof is 4.
% 119.34/119.67  % Maximum clause weight is 18.000.
% 119.34/119.67  % Given clauses 22485.
% 119.34/119.67  
% 119.34/119.67  36 ssList(nil) # label(clause8) # label(axiom).  [assumption].
% 119.34/119.67  85 -ssList(A) | segmentP(A,A) # label(clause57) # label(axiom).  [assumption].
% 119.34/119.67  96 -ssList(A) | app(nil,A) = A # label(clause74) # label(axiom).  [assumption].
% 119.34/119.67  176 -segmentP(A,B) | -ssList(C) | -ssList(D) | -ssList(B) | -ssList(A) | segmentP(app(app(D,A),C),B) # label(clause172) # label(axiom).  [assumption].
% 119.34/119.67  187 ssList(sk3) # label(co1_3) # label(negated_conjecture).  [assumption].
% 119.34/119.67  189 sk2 = sk4 # label(co1_5) # label(negated_conjecture).  [assumption].
% 119.34/119.67  190 sk1 = sk3 # label(co1_6) # label(negated_conjecture).  [assumption].
% 119.34/119.67  191 ssList(sk5) # label(co1_7) # label(negated_conjecture).  [assumption].
% 119.34/119.67  192 app(sk3,sk5) = sk4 # label(co1_8) # label(negated_conjecture).  [assumption].
% 119.34/119.67  194 -segmentP(sk2,sk1) # label(co1_11) # label(negated_conjecture).  [assumption].
% 119.34/119.67  195 -segmentP(sk4,sk3).  [copy(194),rewrite([189(1),190(2)])].
% 119.34/119.67  280 -segmentP(A,A) | -ssList(B) | -ssList(C) | -ssList(A) | segmentP(app(app(C,A),B),A).  [factor(176,d,e)].
% 119.34/119.67  3172 app(nil,sk3) = sk3.  [resolve(187,a,96,a)].
% 119.34/119.67  3178 segmentP(sk3,sk3).  [resolve(187,a,85,a)].
% 119.34/119.67  5623 -ssList(A) | -ssList(B) | segmentP(app(app(B,sk3),A),sk3).  [resolve(3178,a,280,a),unit_del(c,187)].
% 119.34/119.67  148951 -ssList(A) | segmentP(app(sk3,A),sk3).  [resolve(5623,b,36,a),rewrite([3172(4)])].
% 119.34/119.67  150231 $F.  [resolve(148951,a,191,a),rewrite([192(3)]),unit_del(a,195)].
% 119.34/119.67  
% 119.34/119.67  % SZS output end Refutation
% 119.34/119.67  ============================== end of proof ==========================
% 119.34/119.67  
% 119.34/119.67  ============================== STATISTICS ============================
% 119.34/119.67  
% 119.34/119.67  Given=22485. Generated=11909119. Kept=150175. proofs=1.
% 119.34/119.67  Usable=22428. Sos=6846. Demods=442. Limbo=1279, Disabled=119843. Hints=0.
% 119.34/119.67  Megabytes=70.99.
% 119.34/119.67  User_CPU=111.97, System_CPU=6.65, Wall_clock=119.
% 119.34/119.67  
% 119.34/119.67  ============================== end of statistics =====================
% 119.34/119.67  
% 119.34/119.67  ============================== end of search =========================
% 119.34/119.67  
% 119.34/119.67  THEOREM PROVED
% 119.34/119.67  % SZS status Unsatisfiable
% 119.34/119.67  
% 119.34/119.67  Exiting with 1 proof.
% 119.34/119.67  
% 119.34/119.67  Process 5781 exit (max_proofs) Sun Jun 12 02:24:21 2022
% 119.34/119.67  Prover9 interrupted
%------------------------------------------------------------------------------