TSTP Solution File: GRP665-12 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n032.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 : Sat Jul 16 11:20:26 EDT 2022

% Result   : Unsatisfiable 0.52s 0.79s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.09  % Command  : tptp2X_and_run_prover9 %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Mon Jun 13 19:47:27 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.52/0.79  ============================== Prover9 ===============================
% 0.52/0.79  Prover9 (32) version 2009-11A, November 2009.
% 0.52/0.79  Process 6074 was started by sandbox on n032.cluster.edu,
% 0.52/0.79  Mon Jun 13 19:47:27 2022
% 0.52/0.79  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5722_n032.cluster.edu".
% 0.52/0.79  ============================== end of head ===========================
% 0.52/0.79  
% 0.52/0.79  ============================== INPUT =================================
% 0.52/0.79  
% 0.52/0.79  % Reading from file /tmp/Prover9_5722_n032.cluster.edu
% 0.52/0.79  
% 0.52/0.79  set(prolog_style_variables).
% 0.52/0.79  set(auto2).
% 0.52/0.79      % set(auto2) -> set(auto).
% 0.52/0.79      % set(auto) -> set(auto_inference).
% 0.52/0.79      % set(auto) -> set(auto_setup).
% 0.52/0.79      % set(auto_setup) -> set(predicate_elim).
% 0.52/0.79      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.52/0.79      % set(auto) -> set(auto_limits).
% 0.52/0.79      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.52/0.79      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.52/0.79      % set(auto) -> set(auto_denials).
% 0.52/0.79      % set(auto) -> set(auto_process).
% 0.52/0.79      % set(auto2) -> assign(new_constants, 1).
% 0.52/0.79      % set(auto2) -> assign(fold_denial_max, 3).
% 0.52/0.79      % set(auto2) -> assign(max_weight, "200.000").
% 0.52/0.79      % set(auto2) -> assign(max_hours, 1).
% 0.52/0.79      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.52/0.79      % set(auto2) -> assign(max_seconds, 0).
% 0.52/0.79      % set(auto2) -> assign(max_minutes, 5).
% 0.52/0.79      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.52/0.79      % set(auto2) -> set(sort_initial_sos).
% 0.52/0.79      % set(auto2) -> assign(sos_limit, -1).
% 0.52/0.79      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.52/0.79      % set(auto2) -> assign(max_megs, 400).
% 0.52/0.79      % set(auto2) -> assign(stats, some).
% 0.52/0.79      % set(auto2) -> clear(echo_input).
% 0.52/0.79      % set(auto2) -> set(quiet).
% 0.52/0.79      % set(auto2) -> clear(print_initial_clauses).
% 0.52/0.79      % set(auto2) -> clear(print_given).
% 0.52/0.79  assign(lrs_ticks,-1).
% 0.52/0.79  assign(sos_limit,10000).
% 0.52/0.79  assign(order,kbo).
% 0.52/0.79  set(lex_order_vars).
% 0.52/0.79  clear(print_given).
% 0.52/0.79  
% 0.52/0.79  % formulas(sos).  % not echoed (10 formulas)
% 0.52/0.79  
% 0.52/0.79  ============================== end of input ==========================
% 0.52/0.79  
% 0.52/0.79  % From the command line: assign(max_seconds, 300).
% 0.52/0.79  
% 0.52/0.79  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.52/0.79  
% 0.52/0.79  % Formulas that are not ordinary clauses:
% 0.52/0.79  
% 0.52/0.79  ============================== end of process non-clausal formulas ===
% 0.52/0.79  
% 0.52/0.79  ============================== PROCESS INITIAL CLAUSES ===============
% 0.52/0.79  
% 0.52/0.79  ============================== PREDICATE ELIMINATION =================
% 0.52/0.79  
% 0.52/0.79  ============================== end predicate elimination =============
% 0.52/0.79  
% 0.52/0.79  Auto_denials:
% 0.52/0.79    % copying label goal to answer in negative clause
% 0.52/0.79  
% 0.52/0.79  Term ordering decisions:
% 0.52/0.79  Function symbol KB weights:  op_c=1. unit=1. x0=1. x1=1. mult=1. ld=1. rd=1.
% 0.52/0.79  
% 0.52/0.79  ============================== end of process initial clauses ========
% 0.52/0.79  
% 0.52/0.79  ============================== CLAUSES FOR SEARCH ====================
% 0.52/0.79  
% 0.52/0.79  ============================== end of clauses for search =============
% 0.52/0.79  
% 0.52/0.79  ============================== SEARCH ================================
% 0.52/0.79  
% 0.52/0.79  % Starting search at 0.01 seconds.
% 0.52/0.79  
% 0.52/0.79  ============================== PROOF =================================
% 0.52/0.79  % SZS status Unsatisfiable
% 0.52/0.79  % SZS output start Refutation
% 0.52/0.79  
% 0.52/0.79  % Proof 1 at 0.01 (+ 0.00) seconds: goal.
% 0.52/0.79  % Length of proof is 8.
% 0.52/0.79  % Level of proof is 3.
% 0.52/0.79  % Maximum clause weight is 15.000.
% 0.52/0.79  % Given clauses 22.
% 0.52/0.79  
% 0.52/0.79  6 rd(mult(A,B),B) = A # label(f04) # label(axiom).  [assumption].
% 0.52/0.79  7 mult(op_c,A) = mult(A,op_c) # label(f09) # label(axiom).  [assumption].
% 0.52/0.79  8 mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) # label(f07) # label(axiom).  [assumption].
% 0.52/0.79  9 mult(rd(mult(A,B),A),mult(A,C)) = mult(A,mult(B,C)).  [copy(8),flip(a)].
% 0.52/0.79  12 mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)) # label(goal) # label(negated_conjecture) # answer(goal).  [assumption].
% 0.52/0.79  13 mult(x0,mult(op_c,x1)) != mult(op_c,mult(x0,x1)) # answer(goal).  [copy(12),rewrite([7(5,R),7(9,R)]),flip(a)].
% 0.52/0.79  27 mult(op_c,mult(A,B)) = mult(A,mult(B,op_c)).  [para(7(a,1),9(a,1,1,1)),rewrite([6(4),7(2)]),flip(a)].
% 0.52/0.79  62 $F # answer(goal).  [para(27(a,1),13(a,2)),rewrite([7(9,R)]),xx(a)].
% 0.52/0.79  
% 0.52/0.79  % SZS output end Refutation
% 0.52/0.79  ============================== end of proof ==========================
% 0.52/0.79  
% 0.52/0.79  ============================== STATISTICS ============================
% 0.52/0.79  
% 0.52/0.79  Given=22. Generated=230. Kept=58. proofs=1.
% 0.52/0.79  Usable=21. Sos=25. Demods=53. Limbo=8, Disabled=14. Hints=0.
% 0.52/0.79  Megabytes=0.10.
% 0.52/0.79  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.52/0.79  
% 0.52/0.79  ============================== end of statistics =====================
% 0.52/0.79  
% 0.52/0.79  ============================== end of search =========================
% 0.52/0.79  
% 0.52/0.79  THEOREM PROVED
% 0.52/0.79  % SZS status Unsatisfiable
% 0.52/0.79  
% 0.52/0.79  Exiting with 1 proof.
% 0.52/0.79  
% 0.52/0.79  Process 6074 exit (max_proofs) Mon Jun 13 19:47:27 2022
% 0.52/0.79  Prover9 interrupted
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