TSTP Solution File: SYN578-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 11:21:12 EDT 2022

% Result   : Unsatisfiable 0.41s 0.98s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 00:19:19 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.41/0.98  ============================== Prover9 ===============================
% 0.41/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.98  Process 6528 was started by sandbox2 on n017.cluster.edu,
% 0.41/0.98  Tue Jul 12 00:19:19 2022
% 0.41/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6375_n017.cluster.edu".
% 0.41/0.98  ============================== end of head ===========================
% 0.41/0.98  
% 0.41/0.98  ============================== INPUT =================================
% 0.41/0.98  
% 0.41/0.98  % Reading from file /tmp/Prover9_6375_n017.cluster.edu
% 0.41/0.98  
% 0.41/0.98  set(prolog_style_variables).
% 0.41/0.98  set(auto2).
% 0.41/0.98      % set(auto2) -> set(auto).
% 0.41/0.98      % set(auto) -> set(auto_inference).
% 0.41/0.98      % set(auto) -> set(auto_setup).
% 0.41/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.98      % set(auto) -> set(auto_limits).
% 0.41/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.98      % set(auto) -> set(auto_denials).
% 0.41/0.98      % set(auto) -> set(auto_process).
% 0.41/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.98      % set(auto2) -> assign(stats, some).
% 0.41/0.98      % set(auto2) -> clear(echo_input).
% 0.41/0.98      % set(auto2) -> set(quiet).
% 0.41/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.98      % set(auto2) -> clear(print_given).
% 0.41/0.98  assign(lrs_ticks,-1).
% 0.41/0.98  assign(sos_limit,10000).
% 0.41/0.98  assign(order,kbo).
% 0.41/0.98  set(lex_order_vars).
% 0.41/0.98  clear(print_given).
% 0.41/0.98  
% 0.41/0.98  % formulas(sos).  % not echoed (23 formulas)
% 0.41/0.98  
% 0.41/0.98  ============================== end of input ==========================
% 0.41/0.98  
% 0.41/0.98  % From the command line: assign(max_seconds, 300).
% 0.41/0.98  
% 0.41/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.98  
% 0.41/0.98  % Formulas that are not ordinary clauses:
% 0.41/0.98  
% 0.41/0.98  ============================== end of process non-clausal formulas ===
% 0.41/0.98  
% 0.41/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.98  
% 0.41/0.98  ============================== PREDICATE ELIMINATION =================
% 0.41/0.98  
% 0.41/0.98  ============================== end predicate elimination =============
% 0.41/0.98  
% 0.41/0.98  Auto_denials:  (non-Horn, no changes).
% 0.41/0.98  
% 0.41/0.98  Term ordering decisions:
% 0.41/0.98  Function symbol KB weights:  c13=1. c16=1. c12=1. c14=1. c15=1. f8=1. f4=1. f5=1. f6=1.
% 0.41/0.98  
% 0.41/0.98  ============================== end of process initial clauses ========
% 0.41/0.98  
% 0.41/0.98  ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.98  
% 0.41/0.98  ============================== end of clauses for search =============
% 0.41/0.98  
% 0.41/0.98  ============================== SEARCH ================================
% 0.41/0.98  
% 0.41/0.98  % Starting search at 0.01 seconds.
% 0.41/0.98  
% 0.41/0.98  ============================== PROOF =================================
% 0.41/0.98  % SZS status Unsatisfiable
% 0.41/0.98  % SZS output start Refutation
% 0.41/0.98  
% 0.41/0.98  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.41/0.98  % Length of proof is 28.
% 0.41/0.98  % Level of proof is 7.
% 0.41/0.98  % Maximum clause weight is 17.000.
% 0.41/0.98  % Given clauses 65.
% 0.41/0.98  
% 0.41/0.98  2 p7(A,A) # label(p7_2) # label(negated_conjecture).  [assumption].
% 0.41/0.98  3 p3(A,A) # label(p3_3) # label(negated_conjecture).  [assumption].
% 0.41/0.98  5 p9(c12,c13) # label(p9_5) # label(negated_conjecture).  [assumption].
% 0.41/0.98  6 p11(c14,c15) # label(p11_6) # label(negated_conjecture).  [assumption].
% 0.41/0.98  7 p2(c16,f5(c14)) # label(p2_7) # label(negated_conjecture).  [assumption].
% 0.41/0.98  8 p3(f4(f5(A)),f4(A)) # label(p3_8) # label(negated_conjecture).  [assumption].
% 0.41/0.98  10 -p11(A,c15) | -p9(c12,B) | -p9(f8(B,A),B) | -p9(f8(B,A),f4(A)) # label(not_p11_23) # label(negated_conjecture).  [assumption].
% 0.41/0.98  12 p9(A,f4(c16)) | -p9(A,c13) # label(p9_11) # label(negated_conjecture).  [assumption].
% 0.41/0.98  15 p3(f4(A),f4(B)) | -p2(A,B) # label(p3_14) # label(negated_conjecture).  [assumption].
% 0.41/0.98  18 p3(A,B) | -p3(C,A) | -p3(C,B) # label(p3_17) # label(negated_conjecture).  [assumption].
% 0.41/0.98  21 p9(A,B) | -p7(C,A) | -p9(C,D) | -p3(D,B) # label(p9_20) # label(negated_conjecture).  [assumption].
% 0.41/0.98  23 p9(f8(A,B),A) | p9(f8(A,B),f4(B)) | -p11(B,c15) | -p9(c12,A) # label(p9_22) # label(negated_conjecture).  [assumption].
% 0.41/0.98  26 -p9(c12,A) | -p9(f8(A,c14),A) | -p9(f8(A,c14),f4(c14)).  [resolve(10,a,6,a)].
% 0.41/0.98  27 -p9(c12,f4(c14)) | -p9(f8(f4(c14),c14),f4(c14)).  [factor(26,b,c)].
% 0.41/0.98  28 p9(c12,f4(c16)).  [resolve(12,b,5,a)].
% 0.41/0.98  31 p3(f4(c16),f4(f5(c14))).  [resolve(15,b,7,a)].
% 0.41/0.98  35 p3(f4(A),B) | -p3(f4(f5(A)),B).  [resolve(18,b,8,a)].
% 0.41/0.98  38 p3(A,B) | -p3(B,A).  [resolve(18,c,3,a)].
% 0.41/0.98  43 p9(A,B) | -p9(A,C) | -p3(C,B).  [resolve(21,b,2,a)].
% 0.41/0.98  47 p9(f8(A,c14),A) | p9(f8(A,c14),f4(c14)) | -p9(c12,A).  [resolve(23,c,6,a)].
% 0.41/0.98  48 p9(f8(f4(c14),c14),f4(c14)) | -p9(c12,f4(c14)).  [factor(47,a,b)].
% 0.41/0.98  60 p3(f4(f5(c14)),f4(c16)).  [resolve(38,b,31,a)].
% 0.41/0.98  82 p3(f4(c14),f4(c16)).  [resolve(35,b,60,a)].
% 0.41/0.98  83 p3(f4(c16),f4(c14)).  [resolve(82,a,38,b)].
% 0.41/0.98  130 p9(c12,A) | -p3(f4(c16),A).  [resolve(43,b,28,a)].
% 0.41/0.98  137 p9(c12,f4(c14)).  [resolve(130,b,83,a)].
% 0.41/0.98  140 p9(f8(f4(c14),c14),f4(c14)).  [back_unit_del(48),unit_del(b,137)].
% 0.41/0.98  141 $F.  [back_unit_del(27),unit_del(a,137),unit_del(b,140)].
% 0.41/0.98  
% 0.41/0.98  % SZS output end Refutation
% 0.41/0.98  ============================== end of proof ==========================
% 0.41/0.98  
% 0.41/0.98  ============================== STATISTICS ============================
% 0.41/0.98  
% 0.41/0.98  Given=65. Generated=204. Kept=140. proofs=1.
% 0.41/0.98  Usable=64. Sos=70. Demods=0. Limbo=4, Disabled=25. Hints=0.
% 0.41/0.98  Megabytes=0.13.
% 0.41/0.98  User_CPU=0.02, System_CPU=0.00, Wall_clock=1.
% 0.41/0.98  
% 0.41/0.98  ============================== end of statistics =====================
% 0.41/0.98  
% 0.41/0.98  ============================== end of search =========================
% 0.41/0.98  
% 0.41/0.98  THEOREM PROVED
% 0.41/0.98  % SZS status Unsatisfiable
% 0.41/0.98  
% 0.41/0.98  Exiting with 1 proof.
% 0.41/0.98  
% 0.41/0.98  Process 6528 exit (max_proofs) Tue Jul 12 00:19:20 2022
% 0.41/0.98  Prover9 interrupted
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