TSTP Solution File: SYN719-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n011.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 11:22:05 EDT 2022

% Result   : Unsatisfiable 0.75s 1.05s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN719-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n011.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 16:35:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.75/1.05  ============================== Prover9 ===============================
% 0.75/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.05  Process 18046 was started by sandbox on n011.cluster.edu,
% 0.75/1.05  Mon Jul 11 16:35:28 2022
% 0.75/1.05  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17661_n011.cluster.edu".
% 0.75/1.05  ============================== end of head ===========================
% 0.75/1.05  
% 0.75/1.05  ============================== INPUT =================================
% 0.75/1.05  
% 0.75/1.05  % Reading from file /tmp/Prover9_17661_n011.cluster.edu
% 0.75/1.05  
% 0.75/1.05  set(prolog_style_variables).
% 0.75/1.05  set(auto2).
% 0.75/1.05      % set(auto2) -> set(auto).
% 0.75/1.05      % set(auto) -> set(auto_inference).
% 0.75/1.05      % set(auto) -> set(auto_setup).
% 0.75/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.05      % set(auto) -> set(auto_limits).
% 0.75/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.05      % set(auto) -> set(auto_denials).
% 0.75/1.05      % set(auto) -> set(auto_process).
% 0.75/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.05      % set(auto2) -> assign(stats, some).
% 0.75/1.05      % set(auto2) -> clear(echo_input).
% 0.75/1.05      % set(auto2) -> set(quiet).
% 0.75/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.05      % set(auto2) -> clear(print_given).
% 0.75/1.05  assign(lrs_ticks,-1).
% 0.75/1.05  assign(sos_limit,10000).
% 0.75/1.05  assign(order,kbo).
% 0.75/1.05  set(lex_order_vars).
% 0.75/1.05  clear(print_given).
% 0.75/1.05  
% 0.75/1.05  % formulas(sos).  % not echoed (126 formulas)
% 0.75/1.05  
% 0.75/1.05  ============================== end of input ==========================
% 0.75/1.05  
% 0.75/1.05  % From the command line: assign(max_seconds, 300).
% 0.75/1.05  
% 0.75/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.05  
% 0.75/1.05  % Formulas that are not ordinary clauses:
% 0.75/1.05  
% 0.75/1.05  ============================== end of process non-clausal formulas ===
% 0.75/1.05  
% 0.75/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.05  
% 0.75/1.05  ============================== PREDICATE ELIMINATION =================
% 0.75/1.05  
% 0.75/1.05  ============================== end predicate elimination =============
% 0.75/1.05  
% 0.75/1.05  Auto_denials:
% 0.75/1.05    % copying label not_p68_46 to answer in negative clause
% 0.75/1.05  
% 0.75/1.05  Term ordering decisions:
% 0.75/1.05  Function symbol KB weights:  c77=1. c80=1. c88=1. c86=1. c90=1. c75=1. c76=1. c78=1. c82=1. c84=1. c85=1. c74=1. c79=1. c81=1. c83=1. c87=1. c89=1. c91=1. c92=1. c93=1. c94=1. f16=1. f30=1. f36=1. f58=1. f12=1. f23=1. f26=1. f38=1. f8=1. f19=1. f21=1. f32=1. f40=1. f42=1. f44=1. f46=1. f49=1. f5=1. f51=1. f54=1. f60=1. f62=1. f64=1.
% 0.75/1.05  
% 0.75/1.05  ============================== end of process initial clauses ========
% 0.75/1.05  
% 0.75/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.05  
% 0.75/1.05  ============================== end of clauses for search =============
% 0.75/1.05  
% 0.75/1.05  ============================== SEARCH ================================
% 0.75/1.05  
% 0.75/1.05  % Starting search at 0.03 seconds.
% 0.75/1.05  
% 0.75/1.05  ============================== PROOF =================================
% 0.75/1.05  % SZS status Unsatisfiable
% 0.75/1.05  % SZS output start Refutation
% 0.75/1.05  
% 0.75/1.05  % Proof 1 at 0.04 (+ 0.00) seconds: not_p68_46.
% 0.75/1.05  % Length of proof is 14.
% 0.75/1.05  % Level of proof is 3.
% 0.75/1.05  % Maximum clause weight is 45.000.
% 0.75/1.05  % Given clauses 131.
% 0.75/1.05  
% 0.75/1.05  3 p7(A,A) # label(p7_3) # label(negated_conjecture).  [assumption].
% 0.75/1.05  38 p14(A,A) # label(p14_38) # label(negated_conjecture).  [assumption].
% 0.75/1.05  41 p66(f12(c78,c77),c79) # label(p66_41) # label(negated_conjecture).  [assumption].
% 0.75/1.05  42 p67(f16(c80,c81),c82) # label(p67_42) # label(negated_conjecture).  [assumption].
% 0.75/1.05  43 p70(f30(c88,A),f38(c85,B)) # label(p70_43) # label(negated_conjecture).  [assumption].
% 0.75/1.05  45 p14(f23(f26(c84,c85),A),A) # label(p14_45) # label(negated_conjecture).  [assumption].
% 0.75/1.05  46 -p68(f19(f21(c83,c77),c79),c81) # label(not_p68_46) # label(negated_conjecture) # answer(not_p68_46).  [assumption].
% 0.75/1.05  52 p69(f36(c86,A),B) | -p70(B,A) # label(p69_52) # label(negated_conjecture).  [assumption].
% 0.75/1.05  97 p68(A,B) | -p68(C,D) | -p7(C,A) | -p14(D,B) # label(p68_97) # label(negated_conjecture).  [assumption].
% 0.75/1.05  126 p68(f19(f21(c83,c77),A),B) | -p67(f16(c80,C),c82) | -p66(f12(c78,c77),A) | -p14(B,f23(f26(c84,D),C)) | -p69(f36(c86,f38(D,f40(f42(f44(f46(c87,A),B),D),C))),f30(c88,f32(c89,f8(c75,c76)))) # label(p68_126) # label(negated_conjecture).  [assumption].
% 0.75/1.05  129 p69(f36(c86,f38(c85,A)),f30(c88,B)).  [ur(52,b,43,a)].
% 0.75/1.05  132 -p68(f19(f21(c83,c77),c79),f23(f26(c84,c85),c81)) # answer(not_p68_46).  [ur(97,a,46,a,c,3,a,d,45,a)].
% 0.75/1.05  148 -p69(f36(c86,f38(c85,f40(f42(f44(f46(c87,c79),f23(f26(c84,c85),c81)),c85),c81))),f30(c88,f32(c89,f8(c75,c76)))) # answer(not_p68_46).  [ur(126,a,132,a,b,42,a,c,41,a,d,38,a)].
% 0.75/1.05  149 $F # answer(not_p68_46).  [resolve(148,a,129,a)].
% 0.75/1.05  
% 0.75/1.05  % SZS output end Refutation
% 0.75/1.05  ============================== end of proof ==========================
% 0.75/1.05  
% 0.75/1.05  ============================== STATISTICS ============================
% 0.75/1.05  
% 0.75/1.05  Given=131. Generated=230. Kept=148. proofs=1.
% 0.75/1.05  Usable=131. Sos=13. Demods=0. Limbo=3, Disabled=126. Hints=0.
% 0.75/1.05  Megabytes=0.48.
% 0.75/1.05  User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.75/1.05  
% 0.75/1.05  ============================== end of statistics =====================
% 0.75/1.05  
% 0.75/1.05  ============================== end of search =========================
% 0.75/1.05  
% 0.75/1.05  THEOREM PROVED
% 0.75/1.05  % SZS status Unsatisfiable
% 0.75/1.05  
% 0.75/1.05  Exiting with 1 proof.
% 0.75/1.05  
% 0.75/1.05  Process 18046 exit (max_proofs) Mon Jul 11 16:35:28 2022
% 0.75/1.05  Prover9 interrupted
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