TSTP Solution File: SYN576-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN576-1 : 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 11:21:11 EDT 2022

% Result   : Unsatisfiable 0.65s 1.03s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16  % Problem  : SYN576-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.16  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8042.1875MB
% 0.12/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 600
% 0.12/0.38  % DateTime : Mon Jul 11 12:21:42 EDT 2022
% 0.12/0.38  % CPUTime  : 
% 0.65/1.03  ============================== Prover9 ===============================
% 0.65/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.65/1.03  Process 1236 was started by sandbox on n011.cluster.edu,
% 0.65/1.03  Mon Jul 11 12:21:43 2022
% 0.65/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1063_n011.cluster.edu".
% 0.65/1.03  ============================== end of head ===========================
% 0.65/1.03  
% 0.65/1.03  ============================== INPUT =================================
% 0.65/1.03  
% 0.65/1.03  % Reading from file /tmp/Prover9_1063_n011.cluster.edu
% 0.65/1.03  
% 0.65/1.03  set(prolog_style_variables).
% 0.65/1.03  set(auto2).
% 0.65/1.03      % set(auto2) -> set(auto).
% 0.65/1.03      % set(auto) -> set(auto_inference).
% 0.65/1.03      % set(auto) -> set(auto_setup).
% 0.65/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.65/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.65/1.03      % set(auto) -> set(auto_limits).
% 0.65/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.65/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.65/1.03      % set(auto) -> set(auto_denials).
% 0.65/1.03      % set(auto) -> set(auto_process).
% 0.65/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.65/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.65/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.65/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.65/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.65/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.65/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.65/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.65/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.65/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.65/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.65/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.65/1.03      % set(auto2) -> assign(stats, some).
% 0.65/1.03      % set(auto2) -> clear(echo_input).
% 0.65/1.03      % set(auto2) -> set(quiet).
% 0.65/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.65/1.03      % set(auto2) -> clear(print_given).
% 0.65/1.03  assign(lrs_ticks,-1).
% 0.65/1.03  assign(sos_limit,10000).
% 0.65/1.03  assign(order,kbo).
% 0.65/1.03  set(lex_order_vars).
% 0.65/1.03  clear(print_given).
% 0.65/1.03  
% 0.65/1.03  % formulas(sos).  % not echoed (22 formulas)
% 0.65/1.03  
% 0.65/1.03  ============================== end of input ==========================
% 0.65/1.03  
% 0.65/1.03  % From the command line: assign(max_seconds, 300).
% 0.65/1.03  
% 0.65/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.65/1.03  
% 0.65/1.03  % Formulas that are not ordinary clauses:
% 0.65/1.03  
% 0.65/1.03  ============================== end of process non-clausal formulas ===
% 0.65/1.03  
% 0.65/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.65/1.03  
% 0.65/1.03  ============================== PREDICATE ELIMINATION =================
% 0.65/1.03  
% 0.65/1.03  ============================== end predicate elimination =============
% 0.65/1.03  
% 0.65/1.03  Auto_denials:  (non-Horn, no changes).
% 0.65/1.03  
% 0.65/1.03  Term ordering decisions:
% 0.65/1.03  Function symbol KB weights:  c13=1. c14=1. c15=1. c16=1. f3=1. f7=1. f6=1. f10=1. f9=1.
% 0.65/1.03  
% 0.65/1.03  ============================== end of process initial clauses ========
% 0.65/1.03  
% 0.65/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.65/1.03  
% 0.65/1.03  ============================== end of clauses for search =============
% 0.65/1.03  
% 0.65/1.03  ============================== SEARCH ================================
% 0.65/1.03  
% 0.65/1.03  % Starting search at 0.01 seconds.
% 0.65/1.03  
% 0.65/1.03  ============================== PROOF =================================
% 0.65/1.03  % SZS status Unsatisfiable
% 0.65/1.03  % SZS output start Refutation
% 0.65/1.03  
% 0.65/1.03  % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.65/1.03  % Length of proof is 27.
% 0.65/1.03  % Level of proof is 5.
% 0.65/1.03  % Maximum clause weight is 26.000.
% 0.65/1.03  % Given clauses 157.
% 0.65/1.03  
% 0.65/1.03  1 p8(A,A) # label(p8_1) # label(negated_conjecture).  [assumption].
% 0.65/1.03  2 p2(A,A) # label(p2_2) # label(negated_conjecture).  [assumption].
% 0.65/1.03  3 p4(A,A) # label(p4_3) # label(negated_conjecture).  [assumption].
% 0.65/1.03  4 p5(A,A) # label(p5_4) # label(negated_conjecture).  [assumption].
% 0.65/1.03  5 p12(c15,f6(c13)) # label(p12_5) # label(negated_conjecture).  [assumption].
% 0.65/1.03  6 p12(c16,f6(c13)) # label(p12_6) # label(negated_conjecture).  [assumption].
% 0.65/1.03  7 p11(A,B) | p11(B,A) # label(p11_7) # label(negated_conjecture).  [assumption].
% 0.65/1.03  8 p2(f3(A,B),f3(B,A)) # label(p2_8) # label(negated_conjecture).  [assumption].
% 0.65/1.03  9 -p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) # label(not_p12_17) # label(negated_conjecture).  [assumption].
% 0.65/1.03  17 p12(A,B) | -p2(C,A) | -p5(D,B) | -p12(C,D) # label(p12_16) # label(negated_conjecture).  [assumption].
% 0.65/1.03  19 p2(f7(A,B),f7(C,D)) | -p2(A,C) | -p2(B,D) # label(p2_19) # label(negated_conjecture).  [assumption].
% 0.65/1.03  20 p2(f9(A,B,C),f9(D,E,F)) | -p4(A,D) | -p8(B,E) | -p2(C,F) # label(p2_20) # label(negated_conjecture).  [assumption].
% 0.65/1.03  22 p12(f7(f9(A,c14,f3(B,C)),f3(B,C)),f6(A)) | -p12(C,f6(A)) | -p12(B,f6(A)) | -p11(f10(B),f10(C)) # label(p12_22) # label(negated_conjecture).  [assumption].
% 0.65/1.03  37 p12(A,B) | -p2(C,A) | -p12(C,B).  [resolve(17,c,4,a)].
% 0.65/1.03  45 p2(f7(A,B),f7(A,C)) | -p2(B,C).  [resolve(19,b,2,a)].
% 0.65/1.03  47 p2(f7(A,B),f7(C,B)) | -p2(A,C).  [resolve(19,c,2,a)].
% 0.65/1.03  48 p2(f9(A,B,C),f9(D,B,E)) | -p4(A,D) | -p2(C,E).  [resolve(20,c,1,a)].
% 0.65/1.03  51 -p11(f10(c15),f10(c16)).  [ur(22,a,9,a,b,6,a,c,5,a)].
% 0.65/1.03  68 p11(f10(c16),f10(c15)).  [resolve(51,a,7,b)].
% 0.65/1.03  73 p12(f7(f9(A,c14,f3(c16,c15)),f3(c16,c15)),f6(A)) | -p12(c15,f6(A)) | -p12(c16,f6(A)).  [resolve(68,a,22,d)].
% 0.65/1.03  107 p2(f7(A,f3(B,C)),f7(A,f3(C,B))).  [resolve(45,b,8,a)].
% 0.65/1.03  224 -p12(f7(f9(c13,c14,f3(c15,c16)),f3(c16,c15)),f6(c13)).  [ur(37,a,9,a,b,107,a)].
% 0.65/1.03  229 p2(f9(A,B,C),f9(A,B,D)) | -p2(C,D).  [resolve(48,b,3,a)].
% 0.65/1.03  351 p2(f9(A,B,f3(C,D)),f9(A,B,f3(D,C))).  [resolve(229,b,8,a)].
% 0.65/1.03  733 p2(f7(f9(A,B,f3(C,D)),E),f7(f9(A,B,f3(D,C)),E)).  [resolve(351,a,47,b)].
% 0.65/1.03  885 p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)).  [resolve(73,c,6,a),unit_del(b,5)].
% 0.65/1.03  900 $F.  [ur(37,a,224,a,c,885,a),unit_del(a,733)].
% 0.65/1.03  
% 0.65/1.03  % SZS output end Refutation
% 0.65/1.03  ============================== end of proof ==========================
% 0.65/1.03  
% 0.65/1.03  ============================== STATISTICS ============================
% 0.65/1.03  
% 0.65/1.03  Given=157. Generated=1423. Kept=899. proofs=1.
% 0.65/1.03  Usable=154. Sos=733. Demods=0. Limbo=7, Disabled=27. Hints=0.
% 0.65/1.03  Megabytes=0.94.
% 0.65/1.03  User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.65/1.03  
% 0.65/1.03  ============================== end of statistics =====================
% 0.65/1.03  
% 0.65/1.03  ============================== end of search =========================
% 0.65/1.03  
% 0.65/1.03  THEOREM PROVED
% 0.65/1.03  % SZS status Unsatisfiable
% 0.65/1.03  
% 0.65/1.03  Exiting with 1 proof.
% 0.65/1.03  
% 0.65/1.03  Process 1236 exit (max_proofs) Mon Jul 11 12:21:43 2022
% 0.65/1.03  Prover9 interrupted
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