TSTP Solution File: SYN038-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n009.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 11:15:36 EDT 2022

% Result   : Unsatisfiable 0.77s 1.05s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n009.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 : Mon Jul 11 18:33:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.77/1.05  ============================== Prover9 ===============================
% 0.77/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.05  Process 27030 was started by sandbox on n009.cluster.edu,
% 0.77/1.05  Mon Jul 11 18:33:07 2022
% 0.77/1.05  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26877_n009.cluster.edu".
% 0.77/1.05  ============================== end of head ===========================
% 0.77/1.05  
% 0.77/1.05  ============================== INPUT =================================
% 0.77/1.05  
% 0.77/1.05  % Reading from file /tmp/Prover9_26877_n009.cluster.edu
% 0.77/1.05  
% 0.77/1.05  set(prolog_style_variables).
% 0.77/1.05  set(auto2).
% 0.77/1.05      % set(auto2) -> set(auto).
% 0.77/1.05      % set(auto) -> set(auto_inference).
% 0.77/1.05      % set(auto) -> set(auto_setup).
% 0.77/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.77/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.05      % set(auto) -> set(auto_limits).
% 0.77/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.05      % set(auto) -> set(auto_denials).
% 0.77/1.05      % set(auto) -> set(auto_process).
% 0.77/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.77/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.77/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.77/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.77/1.05      % set(auto2) -> assign(stats, some).
% 0.77/1.05      % set(auto2) -> clear(echo_input).
% 0.77/1.05      % set(auto2) -> set(quiet).
% 0.77/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.05      % set(auto2) -> clear(print_given).
% 0.77/1.05  assign(lrs_ticks,-1).
% 0.77/1.05  assign(sos_limit,10000).
% 0.77/1.05  assign(order,kbo).
% 0.77/1.05  set(lex_order_vars).
% 0.77/1.05  clear(print_given).
% 0.77/1.05  
% 0.77/1.05  % formulas(sos).  % not echoed (7 formulas)
% 0.77/1.05  
% 0.77/1.05  ============================== end of input ==========================
% 0.77/1.05  
% 0.77/1.05  % From the command line: assign(max_seconds, 300).
% 0.77/1.05  
% 0.77/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.05  
% 0.77/1.05  % Formulas that are not ordinary clauses:
% 0.77/1.05  
% 0.77/1.05  ============================== end of process non-clausal formulas ===
% 0.77/1.05  
% 0.77/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.05  
% 0.77/1.05  ============================== PREDICATE ELIMINATION =================
% 0.77/1.05  
% 0.77/1.05  ============================== end predicate elimination =============
% 0.77/1.05  
% 0.77/1.05  Auto_denials:  (non-Horn, no changes).
% 0.77/1.05  
% 0.77/1.05  Term ordering decisions:
% 0.77/1.05  Function symbol KB weights:  f=1.
% 0.77/1.05  
% 0.77/1.05  ============================== end of process initial clauses ========
% 0.77/1.05  
% 0.77/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.77/1.05  
% 0.77/1.05  ============================== end of clauses for search =============
% 0.77/1.05  
% 0.77/1.05  ============================== SEARCH ================================
% 0.77/1.05  
% 0.77/1.05  % Starting search at 0.01 seconds.
% 0.77/1.05  
% 0.77/1.05  ============================== PROOF =================================
% 0.77/1.05  % SZS status Unsatisfiable
% 0.77/1.05  % SZS output start Refutation
% 0.77/1.05  
% 0.77/1.05  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.77/1.05  % Length of proof is 23.
% 0.77/1.05  % Level of proof is 14.
% 0.77/1.05  % Maximum clause weight is 37.000.
% 0.77/1.05  % Given clauses 24.
% 0.77/1.05  
% 0.77/1.05  1 p(A,B) | p(f(A,B),f(A,B)) # label(clause_4) # label(negated_conjecture).  [assumption].
% 0.77/1.05  2 q(A,B) | q(f(A,B),f(A,B)) # label(clause_6) # label(negated_conjecture).  [assumption].
% 0.77/1.05  3 -q(A,B) | -q(f(A,B),f(A,B)) # label(clause_7) # label(negated_conjecture).  [assumption].
% 0.77/1.05  4 p(A,B) | -q(f(A,B),f(A,B)) # label(clause_5) # label(negated_conjecture).  [assumption].
% 0.77/1.05  5 -p(A,f(A,B)) | -p(A,B) | q(B,f(A,B)) # label(clause_1) # label(negated_conjecture).  [assumption].
% 0.77/1.05  6 -p(A,B) | -q(B,f(A,B)) | p(A,f(A,B)) # label(clause_2) # label(negated_conjecture).  [assumption].
% 0.77/1.05  7 -p(A,B) | -p(f(A,B),f(A,B)) | q(f(A,B),f(A,B)) # label(clause_3) # label(negated_conjecture).  [assumption].
% 0.77/1.05  8 p(A,B) | q(A,B).  [resolve(4,b,2,b)].
% 0.77/1.05  9 p(A,f(B,A)) | -p(B,A) | p(B,f(B,A)).  [resolve(8,b,6,b)].
% 0.77/1.05  10 p(f(A,B),f(A,B)) | -q(A,B).  [resolve(8,b,3,b)].
% 0.77/1.05  11 p(A,f(A,A)) | -p(A,A).  [factor(9,a,c)].
% 0.77/1.05  12 p(f(A,B),f(f(A,B),f(A,B))) | p(A,B).  [resolve(11,b,1,b)].
% 0.77/1.05  15 p(A,B) | -p(f(A,B),f(A,B)) | q(f(A,B),f(f(A,B),f(A,B))).  [resolve(12,a,5,a)].
% 0.77/1.05  19 p(A,B) | q(f(A,B),f(f(A,B),f(A,B))).  [resolve(15,b,1,b),merge(c)].
% 0.77/1.05  20 p(A,B) | p(f(f(A,B),f(f(A,B),f(A,B))),f(f(A,B),f(f(A,B),f(A,B)))).  [resolve(19,b,10,b)].
% 0.77/1.05  22 p(A,B) | -p(f(A,B),f(f(A,B),f(A,B))) | q(f(f(A,B),f(f(A,B),f(A,B))),f(f(A,B),f(f(A,B),f(A,B)))).  [resolve(20,b,7,b)].
% 0.77/1.05  30 p(A,B) | q(f(f(A,B),f(f(A,B),f(A,B))),f(f(A,B),f(f(A,B),f(A,B)))).  [resolve(22,b,12,a),merge(c)].
% 0.77/1.05  33 p(A,B) | -q(f(A,B),f(f(A,B),f(A,B))).  [resolve(30,b,3,b)].
% 0.77/1.05  36 p(A,B).  [resolve(33,b,19,b),merge(b)].
% 0.77/1.05  37 q(f(A,B),f(A,B)).  [back_unit_del(7),unit_del(a,36),unit_del(b,36)].
% 0.77/1.05  38 q(A,f(B,A)).  [back_unit_del(5),unit_del(a,36),unit_del(b,36)].
% 0.77/1.05  39 -q(A,B).  [back_unit_del(3),unit_del(b,37)].
% 0.77/1.05  40 $F.  [resolve(39,a,38,a)].
% 0.77/1.05  
% 0.77/1.05  % SZS output end Refutation
% 0.77/1.05  ============================== end of proof ==========================
% 0.77/1.05  
% 0.77/1.05  ============================== STATISTICS ============================
% 0.77/1.05  
% 0.77/1.05  Given=24. Generated=57. Kept=39. proofs=1.
% 0.77/1.05  Usable=0. Sos=1. Demods=0. Limbo=2, Disabled=42. Hints=0.
% 0.77/1.05  Megabytes=0.11.
% 0.77/1.05  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.77/1.05  
% 0.77/1.05  ============================== end of statistics =====================
% 0.77/1.05  
% 0.77/1.05  ============================== end of search =========================
% 0.77/1.05  
% 0.77/1.05  THEOREM PROVED
% 0.77/1.05  % SZS status Unsatisfiable
% 0.77/1.05  
% 0.77/1.05  Exiting with 1 proof.
% 0.77/1.05  
% 0.77/1.05  Process 27030 exit (max_proofs) Mon Jul 11 18:33:07 2022
% 0.77/1.05  Prover9 interrupted
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