TSTP Solution File: SYN332-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n016.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 11:18:13 EDT 2022

% Result   : Unsatisfiable 0.74s 1.00s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Tue Jul 12 01:38:58 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.74/1.00  ============================== Prover9 ===============================
% 0.74/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00  Process 729 was started by sandbox on n016.cluster.edu,
% 0.74/1.00  Tue Jul 12 01:38:59 2022
% 0.74/1.00  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_550_n016.cluster.edu".
% 0.74/1.00  ============================== end of head ===========================
% 0.74/1.00  
% 0.74/1.00  ============================== INPUT =================================
% 0.74/1.00  
% 0.74/1.00  % Reading from file /tmp/Prover9_550_n016.cluster.edu
% 0.74/1.00  
% 0.74/1.00  set(prolog_style_variables).
% 0.74/1.00  set(auto2).
% 0.74/1.00      % set(auto2) -> set(auto).
% 0.74/1.00      % set(auto) -> set(auto_inference).
% 0.74/1.00      % set(auto) -> set(auto_setup).
% 0.74/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00      % set(auto) -> set(auto_limits).
% 0.74/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00      % set(auto) -> set(auto_denials).
% 0.74/1.00      % set(auto) -> set(auto_process).
% 0.74/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00      % set(auto2) -> assign(stats, some).
% 0.74/1.00      % set(auto2) -> clear(echo_input).
% 0.74/1.00      % set(auto2) -> set(quiet).
% 0.74/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00      % set(auto2) -> clear(print_given).
% 0.74/1.00  assign(lrs_ticks,-1).
% 0.74/1.00  assign(sos_limit,10000).
% 0.74/1.00  assign(order,kbo).
% 0.74/1.00  set(lex_order_vars).
% 0.74/1.00  clear(print_given).
% 0.74/1.00  
% 0.74/1.00  % formulas(sos).  % not echoed (14 formulas)
% 0.74/1.00  
% 0.74/1.00  ============================== end of input ==========================
% 0.74/1.00  
% 0.74/1.00  % From the command line: assign(max_seconds, 300).
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00  
% 0.74/1.00  % Formulas that are not ordinary clauses:
% 0.74/1.00  
% 0.74/1.00  ============================== end of process non-clausal formulas ===
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.00  
% 0.74/1.00  ============================== PREDICATE ELIMINATION =================
% 0.74/1.00  
% 0.74/1.00  ============================== end predicate elimination =============
% 0.74/1.00  
% 0.74/1.00  Auto_denials:  (non-Horn, no changes).
% 0.74/1.00  
% 0.74/1.00  Term ordering decisions:
% 0.74/1.00  Function symbol KB weights:  z=1.
% 0.74/1.00  
% 0.74/1.00  ============================== end of process initial clauses ========
% 0.74/1.00  
% 0.74/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of clauses for search =============
% 0.74/1.00  
% 0.74/1.00  ============================== SEARCH ================================
% 0.74/1.00  
% 0.74/1.00  % Starting search at 0.01 seconds.
% 0.74/1.00  
% 0.74/1.00  ============================== PROOF =================================
% 0.74/1.00  % SZS status Unsatisfiable
% 0.74/1.00  % SZS output start Refutation
% 0.74/1.00  
% 0.74/1.00  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.74/1.00  % Length of proof is 20.
% 0.74/1.00  % Level of proof is 6.
% 0.74/1.00  % Maximum clause weight is 13.000.
% 0.74/1.00  % Given clauses 28.
% 0.74/1.00  
% 0.74/1.00  1 f(A,B) | f(A,z(A,B)) # label(clause1) # label(negated_conjecture).  [assumption].
% 0.74/1.00  2 f(A,B) | f(B,z(B,A)) # label(clause2) # label(negated_conjecture).  [assumption].
% 0.74/1.00  4 -f(A,B) | -f(B,A) | -f(A,z(A,B)) # label(clause3) # label(negated_conjecture).  [assumption].
% 0.74/1.00  5 -f(A,B) | -f(B,A) | -f(z(A,B),B) # label(clause14) # label(negated_conjecture).  [assumption].
% 0.74/1.00  7 -f(A,z(A,B)) | f(z(A,B),A) # label(clause5) # label(negated_conjecture).  [assumption].
% 0.74/1.00  9 -f(A,z(A,B)) | f(B,z(A,B)) # label(clause7) # label(negated_conjecture).  [assumption].
% 0.74/1.00  13 f(A,B) | f(B,A) | -f(z(A,B),B) # label(clause13) # label(negated_conjecture).  [assumption].
% 0.74/1.00  14 -f(A,B) | f(B,A) | -f(z(B,A),z(B,A)) # label(clause8) # label(negated_conjecture).  [assumption].
% 0.74/1.00  15 -f(A,A) | -f(A,z(A,A)).  [factor(4,a,b)].
% 0.74/1.00  16 -f(A,A) | -f(z(A,A),A).  [factor(5,a,b)].
% 0.74/1.00  17 f(A,A) | -f(z(A,A),A).  [factor(13,a,b)].
% 0.74/1.00  18 f(z(A,B),A) | f(B,A).  [resolve(7,a,2,b)].
% 0.74/1.00  21 f(A,z(B,A)) | f(B,A).  [resolve(9,a,1,b)].
% 0.74/1.00  25 f(A,A).  [resolve(18,a,17,b),merge(b)].
% 0.74/1.00  26 -f(z(A,A),A).  [back_unit_del(16),unit_del(a,25)].
% 0.74/1.00  27 -f(A,z(A,A)).  [back_unit_del(15),unit_del(a,25)].
% 0.74/1.00  28 -f(A,B) | f(B,A).  [back_unit_del(14),unit_del(c,25)].
% 0.74/1.00  29 -f(z(z(A,A),A),A).  [ur(13,a,26,a,b,27,a)].
% 0.74/1.00  32 -f(A,z(z(A,A),A)).  [ur(28,b,29,a)].
% 0.74/1.00  35 $F.  [resolve(32,a,21,a),unit_del(a,26)].
% 0.74/1.00  
% 0.74/1.00  % SZS output end Refutation
% 0.74/1.00  ============================== end of proof ==========================
% 0.74/1.00  
% 0.74/1.00  ============================== STATISTICS ============================
% 0.74/1.00  
% 0.74/1.00  Given=28. Generated=82. Kept=34. proofs=1.
% 0.74/1.00  Usable=18. Sos=3. Demods=0. Limbo=0, Disabled=27. Hints=0.
% 0.74/1.00  Megabytes=0.04.
% 0.74/1.00  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.74/1.00  
% 0.74/1.00  ============================== end of statistics =====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of search =========================
% 0.74/1.00  
% 0.74/1.00  THEOREM PROVED
% 0.74/1.00  % SZS status Unsatisfiable
% 0.74/1.00  
% 0.74/1.00  Exiting with 1 proof.
% 0.74/1.00  
% 0.74/1.00  Process 729 exit (max_proofs) Tue Jul 12 01:38:59 2022
% 0.74/1.01  Prover9 interrupted
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