TSTP Solution File: COL100-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : COL100-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 : Fri Jul 15 00:40:00 EDT 2022

% Result   : Timeout 300.11s 300.34s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL100-2 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue May 31 06:37:47 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.79/1.06  ============================== Prover9 ===============================
% 0.79/1.06  Prover9 (32) version 2009-11A, November 2009.
% 0.79/1.06  Process 26680 was started by sandbox2 on n027.cluster.edu,
% 0.79/1.06  Tue May 31 06:37:48 2022
% 0.79/1.06  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26527_n027.cluster.edu".
% 0.79/1.06  ============================== end of head ===========================
% 0.79/1.06  
% 0.79/1.06  ============================== INPUT =================================
% 0.79/1.06  
% 0.79/1.06  % Reading from file /tmp/Prover9_26527_n027.cluster.edu
% 0.79/1.06  
% 0.79/1.06  set(prolog_style_variables).
% 0.79/1.06  set(auto2).
% 0.79/1.06      % set(auto2) -> set(auto).
% 0.79/1.06      % set(auto) -> set(auto_inference).
% 0.79/1.06      % set(auto) -> set(auto_setup).
% 0.79/1.06      % set(auto_setup) -> set(predicate_elim).
% 0.79/1.06      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.79/1.06      % set(auto) -> set(auto_limits).
% 0.79/1.06      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.79/1.06      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.79/1.06      % set(auto) -> set(auto_denials).
% 0.79/1.06      % set(auto) -> set(auto_process).
% 0.79/1.06      % set(auto2) -> assign(new_constants, 1).
% 0.79/1.06      % set(auto2) -> assign(fold_denial_max, 3).
% 0.79/1.06      % set(auto2) -> assign(max_weight, "200.000").
% 0.79/1.06      % set(auto2) -> assign(max_hours, 1).
% 0.79/1.06      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.79/1.06      % set(auto2) -> assign(max_seconds, 0).
% 0.79/1.06      % set(auto2) -> assign(max_minutes, 5).
% 0.79/1.06      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.79/1.06      % set(auto2) -> set(sort_initial_sos).
% 0.79/1.06      % set(auto2) -> assign(sos_limit, -1).
% 0.79/1.06      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.79/1.06      % set(auto2) -> assign(max_megs, 400).
% 0.79/1.06      % set(auto2) -> assign(stats, some).
% 0.79/1.06      % set(auto2) -> clear(echo_input).
% 0.79/1.06      % set(auto2) -> set(quiet).
% 0.79/1.06      % set(auto2) -> clear(print_initial_clauses).
% 0.79/1.06      % set(auto2) -> clear(print_given).
% 0.79/1.06  assign(lrs_ticks,-1).
% 0.79/1.06  assign(sos_limit,10000).
% 0.79/1.06  assign(order,kbo).
% 0.79/1.06  set(lex_order_vars).
% 0.79/1.06  clear(print_given).
% 0.79/1.06  
% 0.79/1.06  % formulas(sos).  % not echoed (160 formulas)
% 0.79/1.06  
% 0.79/1.06  ============================== end of input ==========================
% 0.79/1.06  
% 0.79/1.06  % From the command line: assign(max_seconds, 300).
% 0.79/1.06  
% 0.79/1.06  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.79/1.06  
% 0.79/1.06  % Formulas that are not ordinary clauses:
% 0.79/1.06  
% 0.79/1.06  ============================== end of process non-clausal formulas ===
% 0.79/1.06  
% 0.79/1.06  ============================== PROCESS INITIAL CLAUSES ===============
% 0.79/1.06  
% 0.79/1.06  ============================== PREDICATE ELIMINATION =================
% 0.79/1.06  1 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(pair(A,C),F) # label(clause52) # label(axiom).  [assumption].
% 0.79/1.06  2 -member(pair(pair(A,B),pair(C,D)),rmult(E,F,V6,V7)) | rmultE_c1(A,B,C,D,E,F,V6,V7) | rmultE_c2(A,B,C,D,E,F,V6,V7) # label(clause51) # label(axiom).  [assumption].
% 0.79/1.06  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | rmultE_c2(A,D,B,E,F,C,V6,V7).  [resolve(1,a,2,b)].
% 0.79/1.06  3 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(A,E) # label(clause53) # label(axiom).  [assumption].
% 0.79/1.06  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | rmultE_c2(A,C,D,E,B,F,V6,V7).  [resolve(3,a,2,b)].
% 0.79/1.06  4 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause54) # label(axiom).  [assumption].
% 0.79/1.06  Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | rmultE_c2(C,D,A,E,B,F,V6,V7).  [resolve(4,a,2,b)].
% 0.79/1.06  5 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause55) # label(axiom).  [assumption].
% 0.79/1.06  Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | rmultE_c2(C,A,D,E,F,V6,B,V7).  [resolve(5,a,2,b)].
% 0.79/1.06  6 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause56) # label(axiom).  [assumption].
% 0.79/1.06  Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | rmultE_c2(C,D,E,A,F,V6,B,V7).  [resolve(6,a,2,b)].
% 0.79/1.06  7 member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | rmultE_c2(A,D,B,E,F,C,V6,V7).  [resolve(1,a,2,b)].
% 0.79/1.06  8 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(pair(B,D),V7) # label(clause57) # label(axiom).  [assumption].
% 0.79/1.06  9 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause58) # label(axiom).  [assumption].
% 0.79/1.06  10 -rmultE_c2(A,B,C,D,E,F,V6,V7) | A = C # label(clause59) # label(axiom).  [assumption].
% 0.79/1.06  11 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause60) # label(axiom).  [assumption].
% 0.84/1.09  12 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause61) # label(axiom).  [assumption].
% 0.84/1.09  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(pair(D,E),V7).  [resolve(7,c,8,a)].
% 0.84/1.09  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(B,F).  [resolve(7,c,9,a)].
% 0.84/1.09  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | A = B.  [resolve(7,c,10,a)].
% 0.84/1.09  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(D,V6).  [resolve(7,c,11,a)].
% 0.84/1.09  Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(E,V6).  [resolve(7,c,12,a)].
% 0.84/1.09  13 member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | rmultE_c2(A,C,D,E,B,F,V6,V7).  [resolve(3,a,2,b)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(pair(C,E),V7).  [resolve(13,c,8,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(D,B).  [resolve(13,c,9,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | A = D.  [resolve(13,c,10,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(C,V6).  [resolve(13,c,11,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(E,V6).  [resolve(13,c,12,a)].
% 0.84/1.09  14 member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | rmultE_c2(C,D,A,E,B,F,V6,V7).  [resolve(4,a,2,b)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | member(pair(D,E),V7).  [resolve(14,c,8,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | member(A,B).  [resolve(14,c,9,a)].
% 0.84/1.09  15 member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | rmultE_c2(C,A,D,E,F,V6,B,V7).  [resolve(5,a,2,b)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | member(pair(A,E),V7).  [resolve(15,c,8,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | C = D.  [resolve(15,c,10,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | member(A,B).  [resolve(15,c,11,a)].
% 0.84/1.09  16 member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | rmultE_c2(C,D,E,A,F,V6,B,V7).  [resolve(6,a,2,b)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | member(pair(D,A),V7).  [resolve(16,c,8,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | C = E.  [resolve(16,c,10,a)].
% 0.84/1.09  Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | member(A,B).  [resolve(16,c,12,a)].
% 0.84/1.09  17 -trans(A) | -member(pair(B,C),A) | -member(pair(C,D),A) | member(pair(B,D),A) # label(transD) # label(axiom).  [assumption].
% 0.84/1.09  18 trans(trancl(A)) # label(trans_trancl) # label(axiom).  [assumption].
% 0.84/1.09  Derived: -member(pair(A,B),trancl(C)) | -member(pair(B,D),trancl(C)) | member(pair(A,D),trancl(C)).  [resolve(17,a,18,a)].
% 0.84/1.09  19 diamond(r) # label(diamond_trancl_2h1) # label(hypothesis).  [assumption].
% 0.84/1.09  20 -diamond(A) | -member(pair(B,C),trancl(A)) | -member(pair(B,D),A) | member(pair(D,diamond_strip_lemmaD_sk1(B,C,D,A)),trancl(A)) # label(diamond_strip_lemmaD1) # label(axiom).  [assumption].
% 0.84/1.09  21 -diamond(A) | -member(pair(B,C),trancl(A)) | -member(pair(B,D),A) | member(pair(C,diamond_strip_lemmaD_sk1(B,C,D,A)),A) # label(diamond_strip_lemmaD2) # label(axiom).  [assumption].
% 0.84/1.09  Derived: -member(pair(A,B),trancl(r)) | -member(pair(A,C),r) | member(pair(C,diamond_strip_lemmaD_sk1(A,B,C,r)),trancl(r)).  [resolve(19,a,20,a)].
% 0.84/1.09  Derived: -member(pair(A,B),trancl(r)) | -member(pair(A,C),r) | member(pair(B,diamond_strip_lemmaD_sk1(A,B,C,r)),r).  [resolve(19,a,21,a)].
% 0.84/1.09  
% 0.84/1.09  ============================== end predicate elimination =============
% 0.84/1.09  
% 0.84/1.09  Auto_denials:  (non-Horn, no changes).
% 0.84/1.09  
% 0.84/1.09  Term ordering decisions:
% 0.84/1.09  Function symbol KB weights:  r=1. eptset=1. nat=1. y=1. ya=1. yp=1. z=1. combK=1. combS=1. pair=1. cons=1. qPair=1. comb_app=1. disjsum=1. int=1. comp=Cputime limit exceeded (core dumped)
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