TSTP Solution File: SYN690-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n013.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 11:21:54 EDT 2022

% Result   : Unsatisfiable 0.72s 1.00s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 07:33:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.72/1.00  ============================== Prover9 ===============================
% 0.72/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.00  Process 12099 was started by sandbox2 on n013.cluster.edu,
% 0.72/1.00  Tue Jul 12 07:33:45 2022
% 0.72/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11929_n013.cluster.edu".
% 0.72/1.00  ============================== end of head ===========================
% 0.72/1.00  
% 0.72/1.00  ============================== INPUT =================================
% 0.72/1.00  
% 0.72/1.00  % Reading from file /tmp/Prover9_11929_n013.cluster.edu
% 0.72/1.00  
% 0.72/1.00  set(prolog_style_variables).
% 0.72/1.00  set(auto2).
% 0.72/1.00      % set(auto2) -> set(auto).
% 0.72/1.00      % set(auto) -> set(auto_inference).
% 0.72/1.00      % set(auto) -> set(auto_setup).
% 0.72/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.72/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.00      % set(auto) -> set(auto_limits).
% 0.72/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.00      % set(auto) -> set(auto_denials).
% 0.72/1.00      % set(auto) -> set(auto_process).
% 0.72/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.72/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.72/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.72/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.72/1.00      % set(auto2) -> assign(stats, some).
% 0.72/1.00      % set(auto2) -> clear(echo_input).
% 0.72/1.00      % set(auto2) -> set(quiet).
% 0.72/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.00      % set(auto2) -> clear(print_given).
% 0.72/1.00  assign(lrs_ticks,-1).
% 0.72/1.00  assign(sos_limit,10000).
% 0.72/1.00  assign(order,kbo).
% 0.72/1.00  set(lex_order_vars).
% 0.72/1.00  clear(print_given).
% 0.72/1.00  
% 0.72/1.00  % formulas(sos).  % not echoed (62 formulas)
% 0.72/1.00  
% 0.72/1.00  ============================== end of input ==========================
% 0.72/1.00  
% 0.72/1.00  % From the command line: assign(max_seconds, 300).
% 0.72/1.00  
% 0.72/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.00  
% 0.72/1.00  % Formulas that are not ordinary clauses:
% 0.72/1.00  
% 0.72/1.00  ============================== end of process non-clausal formulas ===
% 0.72/1.00  
% 0.72/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.00  
% 0.72/1.00  ============================== PREDICATE ELIMINATION =================
% 0.72/1.00  
% 0.72/1.00  ============================== end predicate elimination =============
% 0.72/1.00  
% 0.72/1.00  Auto_denials:  (non-Horn, no changes).
% 0.72/1.00  
% 0.72/1.00  Term ordering decisions:
% 0.72/1.00  Function symbol KB weights:  c45=1. c39=1. c47=1. c36=1. c41=1. c42=1. c46=1. c37=1. c38=1. c40=1. c43=1. c44=1. c48=1. f5=1. f7=1. f26=1. f28=1. f18=1. f20=1. f22=1. f24=1. f30=1. f32=1. f10=1. f12=1. f14=1. f16=1.
% 0.72/1.00  
% 0.72/1.00  ============================== end of process initial clauses ========
% 0.72/1.00  
% 0.72/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.00  
% 0.72/1.00  ============================== end of clauses for search =============
% 0.72/1.00  
% 0.72/1.00  ============================== SEARCH ================================
% 0.72/1.00  
% 0.72/1.00  % Starting search at 0.02 seconds.
% 0.72/1.00  
% 0.72/1.00  ============================== PROOF =================================
% 0.72/1.00  % SZS status Unsatisfiable
% 0.72/1.00  % SZS output start Refutation
% 0.72/1.00  
% 0.72/1.00  % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.72/1.00  % Length of proof is 15.
% 0.72/1.00  % Level of proof is 4.
% 0.72/1.00  % Maximum clause weight is 83.000.
% 0.72/1.00  % Given clauses 91.
% 0.72/1.00  
% 0.72/1.00  14 p2(A,A) # label(p2_14) # label(negated_conjecture).  [assumption].
% 0.72/1.00  19 p34(c36,c37) # label(p34_19) # label(negated_conjecture).  [assumption].
% 0.72/1.00  20 p4(f5(c40,A),f5(f7(c39,c40),A)) # label(p4_21) # label(negated_conjecture).  [assumption].
% 0.72/1.00  21 p4(f5(c38,A),f5(f7(c39,c38),A)) # label(p4_22) # label(negated_conjecture).  [assumption].
% 0.72/1.00  22 p4(f5(f7(c39,A),B),f5(f7(c39,C),B)) | p35(f10(c37,f12(f14(f16(c41,A),C),B)),B) # label(p4_57) # label(negated_conjecture).  [assumption].
% 0.72/1.00  23 -p2(c38,c40) # label(not_p2_20) # label(negated_conjecture).  [assumption].
% 0.72/1.00  37 p2(A,B) | -p2(C,A) | -p2(C,B) # label(p2_36) # label(negated_conjecture).  [assumption].
% 0.72/1.00  58 p4(f5(f7(c39,A),B),f5(f7(c39,C),B)) | -p4(f5(A,f12(f14(f16(c41,A),C),B)),f5(C,f12(f14(f16(c41,A),C),B))) # label(p4_58) # label(negated_conjecture).  [assumption].
% 0.72/1.00  61 p2(A,B) | p4(f5(f26(f28(c43,C),D),E),f5(f26(f28(c44,C),D),E)) | -p34(c36,C) | -p35(f10(C,E),f30(f32(c42,C),D)) | -p4(f5(A,f18(f20(f22(f24(c45,C),D),A),B)),f5(f7(D,A),f18(f20(f22(f24(c45,C),D),A),B))) | -p4(f5(B,f18(f20(f22(f24(c45,C),D),A),B)),f5(f7(D,B),f18(f20(f22(f24(c45,C),D),A),B))) # label(p2_61) # label(negated_conjecture).  [assumption].
% 0.72/1.00  62 p2(A,B) | -p34(c36,C) | -p4(f5(A,f18(f20(f22(f24(c45,C),D),A),B)),f5(f7(D,A),f18(f20(f22(f24(c45,C),D),A),B))) | -p4(f5(B,f18(f20(f22(f24(c45,C),D),A),B)),f5(f7(D,B),f18(f20(f22(f24(c45,C),D),A),B))) | -p4(f5(f7(D,f26(f28(c43,C),D)),f30(f32(c42,C),D)),f5(f7(D,f26(f28(c44,C),D)),f30(f32(c42,C),D))) # label(p2_62) # label(negated_conjecture).  [assumption].
% 0.72/1.00  81 -p2(c40,c38).  [ur(37,a,23,a,c,14,a)].
% 0.72/1.00  108 -p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))).  [ur(62,a,23,a,b,19,a,c,21,a,d,20,a)].
% 0.72/1.00  109 -p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))).  [ur(58,a,108,a)].
% 0.72/1.00  123 -p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)).  [ur(61,a,81,a,b,109,a,c,19,a,e,20,a,f,21,a)].
% 0.72/1.00  124 $F.  [resolve(123,a,22,b),unit_del(a,108)].
% 0.72/1.00  
% 0.72/1.00  % SZS output end Refutation
% 0.72/1.00  ============================== end of proof ==========================
% 0.72/1.00  
% 0.72/1.00  ============================== STATISTICS ============================
% 0.72/1.00  
% 0.72/1.00  Given=91. Generated=217. Kept=123. proofs=1.
% 0.72/1.00  Usable=91. Sos=32. Demods=0. Limbo=0, Disabled=62. Hints=0.
% 0.72/1.00  Megabytes=0.34.
% 0.72/1.00  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.72/1.00  
% 0.72/1.00  ============================== end of statistics =====================
% 0.72/1.00  
% 0.72/1.00  ============================== end of search =========================
% 0.72/1.00  
% 0.72/1.00  THEOREM PROVED
% 0.72/1.00  % SZS status Unsatisfiable
% 0.72/1.00  
% 0.72/1.00  Exiting with 1 proof.
% 0.72/1.00  
% 0.72/1.00  Process 12099 exit (max_proofs) Tue Jul 12 07:33:45 2022
% 0.72/1.00  Prover9 interrupted
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