TSTP Solution File: SYN071-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n010.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 : Thu Jul 21 11:16:06 EDT 2022

% Result   : Unsatisfiable 0.49s 1.04s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN071-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 06:20:30 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.49/1.04  ============================== Prover9 ===============================
% 0.49/1.04  Prover9 (32) version 2009-11A, November 2009.
% 0.49/1.04  Process 2213 was started by sandbox on n010.cluster.edu,
% 0.49/1.04  Tue Jul 12 06:20:30 2022
% 0.49/1.04  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2052_n010.cluster.edu".
% 0.49/1.04  ============================== end of head ===========================
% 0.49/1.04  
% 0.49/1.04  ============================== INPUT =================================
% 0.49/1.04  
% 0.49/1.04  % Reading from file /tmp/Prover9_2052_n010.cluster.edu
% 0.49/1.04  
% 0.49/1.04  set(prolog_style_variables).
% 0.49/1.04  set(auto2).
% 0.49/1.04      % set(auto2) -> set(auto).
% 0.49/1.04      % set(auto) -> set(auto_inference).
% 0.49/1.04      % set(auto) -> set(auto_setup).
% 0.49/1.04      % set(auto_setup) -> set(predicate_elim).
% 0.49/1.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.49/1.04      % set(auto) -> set(auto_limits).
% 0.49/1.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.49/1.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.49/1.04      % set(auto) -> set(auto_denials).
% 0.49/1.04      % set(auto) -> set(auto_process).
% 0.49/1.04      % set(auto2) -> assign(new_constants, 1).
% 0.49/1.04      % set(auto2) -> assign(fold_denial_max, 3).
% 0.49/1.04      % set(auto2) -> assign(max_weight, "200.000").
% 0.49/1.04      % set(auto2) -> assign(max_hours, 1).
% 0.49/1.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.49/1.04      % set(auto2) -> assign(max_seconds, 0).
% 0.49/1.04      % set(auto2) -> assign(max_minutes, 5).
% 0.49/1.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.49/1.04      % set(auto2) -> set(sort_initial_sos).
% 0.49/1.04      % set(auto2) -> assign(sos_limit, -1).
% 0.49/1.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.49/1.04      % set(auto2) -> assign(max_megs, 400).
% 0.49/1.04      % set(auto2) -> assign(stats, some).
% 0.49/1.04      % set(auto2) -> clear(echo_input).
% 0.49/1.04      % set(auto2) -> set(quiet).
% 0.49/1.04      % set(auto2) -> clear(print_initial_clauses).
% 0.49/1.04      % set(auto2) -> clear(print_given).
% 0.49/1.04  assign(lrs_ticks,-1).
% 0.49/1.04  assign(sos_limit,10000).
% 0.49/1.04  assign(order,kbo).
% 0.49/1.04  set(lex_order_vars).
% 0.49/1.04  clear(print_given).
% 0.49/1.04  
% 0.49/1.04  % formulas(sos).  % not echoed (4 formulas)
% 0.49/1.04  
% 0.49/1.04  ============================== end of input ==========================
% 0.49/1.04  
% 0.49/1.04  % From the command line: assign(max_seconds, 300).
% 0.49/1.04  
% 0.49/1.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.49/1.04  
% 0.49/1.04  % Formulas that are not ordinary clauses:
% 0.49/1.04  
% 0.49/1.04  ============================== end of process non-clausal formulas ===
% 0.49/1.04  
% 0.49/1.04  ============================== PROCESS INITIAL CLAUSES ===============
% 0.49/1.04  
% 0.49/1.04  ============================== PREDICATE ELIMINATION =================
% 0.49/1.04  
% 0.49/1.04  ============================== end predicate elimination =============
% 0.49/1.04  
% 0.49/1.04  Auto_denials:  (non-Horn, no changes).
% 0.49/1.04  
% 0.49/1.04  Term ordering decisions:
% 0.49/1.04  Function symbol KB weights:  a=1. b=1. c=1. d=1.
% 0.49/1.04  
% 0.49/1.04  ============================== end of process initial clauses ========
% 0.49/1.04  
% 0.49/1.04  ============================== CLAUSES FOR SEARCH ====================
% 0.49/1.04  
% 0.49/1.04  ============================== end of clauses for search =============
% 0.49/1.04  
% 0.49/1.04  ============================== SEARCH ================================
% 0.49/1.04  
% 0.49/1.04  % Starting search at 0.01 seconds.
% 0.49/1.04  
% 0.49/1.04  ============================== PROOF =================================
% 0.49/1.04  % SZS status Unsatisfiable
% 0.49/1.04  % SZS output start Refutation
% 0.49/1.04  
% 0.49/1.04  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.49/1.04  % Length of proof is 13.
% 0.49/1.04  % Level of proof is 5.
% 0.49/1.04  % Maximum clause weight is 6.000.
% 0.49/1.04  % Given clauses 5.
% 0.49/1.04  
% 0.49/1.04  1 a = b | c = d # label(clause_1) # label(axiom).  [assumption].
% 0.49/1.04  2 b = a | d = c.  [copy(1),flip(a),flip(b)].
% 0.49/1.04  3 a = c | b = d # label(clause_2) # label(axiom).  [assumption].
% 0.49/1.04  4 c = a | d = b.  [copy(3),flip(a),flip(b)].
% 0.49/1.04  5 a != d # label(clause_3) # label(negated_conjecture).  [assumption].
% 0.49/1.04  6 d != a.  [copy(5),flip(a)].
% 0.49/1.04  7 b != c # label(clause_4) # label(negated_conjecture).  [assumption].
% 0.49/1.04  8 c != b.  [copy(7),flip(a)].
% 0.49/1.04  9 c = a | b = a.  [para(4(b,1),2(b,1)),flip(c),unit_del(c,8)].
% 0.49/1.04  11 c = a | b != a.  [para(4(b,1),6(a,1))].
% 0.49/1.04  12 b = a.  [para(9(a,1),2(b,2)),merge(b),unit_del(b,6)].
% 0.49/1.04  13 c = a.  [back_rewrite(11),rewrite([12(4)]),xx(b)].
% 0.49/1.04  14 $F.  [back_rewrite(8),rewrite([13(1),12(2)]),xx(a)].
% 0.49/1.04  
% 0.49/1.04  % SZS output end Refutation
% 0.49/1.04  ============================== end of proof ==========================
% 0.49/1.04  
% 0.49/1.04  ============================== STATISTICS ============================
% 0.49/1.04  
% 0.49/1.04  Given=5. Generated=14. Kept=9. proofs=1.
% 0.49/1.04  Usable=2. Sos=0. Demods=2. Limbo=2, Disabled=9. Hints=0.
% 0.49/1.04  Megabytes=0.02.
% 0.49/1.04  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.49/1.04  
% 0.49/1.04  ============================== end of statistics =====================
% 0.49/1.04  
% 0.49/1.04  ============================== end of search =========================
% 0.49/1.04  
% 0.49/1.04  THEOREM PROVED
% 0.49/1.04  % SZS status Unsatisfiable
% 0.49/1.04  
% 0.49/1.04  Exiting with 1 proof.
% 0.49/1.04  
% 0.49/1.04  Process 2213 exit (max_proofs) Tue Jul 12 06:20:30 2022
% 0.49/1.04  Prover9 interrupted
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