TSTP Solution File: SYN094-1.005 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 11:16:20 EDT 2022

% Result   : Unsatisfiable 0.72s 1.02s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 12:53:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.02  ============================== Prover9 ===============================
% 0.72/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.02  Process 20719 was started by sandbox on n023.cluster.edu,
% 0.72/1.02  Mon Jul 11 12:53:10 2022
% 0.72/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20566_n023.cluster.edu".
% 0.72/1.02  ============================== end of head ===========================
% 0.72/1.02  
% 0.72/1.02  ============================== INPUT =================================
% 0.72/1.02  
% 0.72/1.02  % Reading from file /tmp/Prover9_20566_n023.cluster.edu
% 0.72/1.02  
% 0.72/1.02  set(prolog_style_variables).
% 0.72/1.02  set(auto2).
% 0.72/1.02      % set(auto2) -> set(auto).
% 0.72/1.02      % set(auto) -> set(auto_inference).
% 0.72/1.02      % set(auto) -> set(auto_setup).
% 0.72/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.72/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.02      % set(auto) -> set(auto_limits).
% 0.72/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.02      % set(auto) -> set(auto_denials).
% 0.72/1.02      % set(auto) -> set(auto_process).
% 0.72/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.72/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.72/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.72/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.72/1.02      % set(auto2) -> assign(stats, some).
% 0.72/1.02      % set(auto2) -> clear(echo_input).
% 0.72/1.02      % set(auto2) -> set(quiet).
% 0.72/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.02      % set(auto2) -> clear(print_given).
% 0.72/1.02  assign(lrs_ticks,-1).
% 0.72/1.02  assign(sos_limit,10000).
% 0.72/1.02  assign(order,kbo).
% 0.72/1.02  set(lex_order_vars).
% 0.72/1.02  clear(print_given).
% 0.72/1.02  
% 0.72/1.02  % formulas(sos).  % not echoed (82 formulas)
% 0.72/1.02  
% 0.72/1.02  ============================== end of input ==========================
% 0.72/1.02  
% 0.72/1.02  % From the command line: assign(max_seconds, 300).
% 0.72/1.02  
% 0.72/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.02  
% 0.72/1.02  % Formulas that are not ordinary clauses:
% 0.72/1.02  
% 0.72/1.02  ============================== end of process non-clausal formulas ===
% 0.72/1.02  
% 0.72/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.02  
% 0.72/1.02  ============================== PREDICATE ELIMINATION =================
% 0.72/1.02  
% 0.72/1.02  ============================== end predicate elimination =============
% 0.72/1.02  
% 0.72/1.02  Auto_denials:  (non-Horn, no changes).
% 0.72/1.02  
% 0.72/1.02  Term ordering decisions:
% 0.72/1.02  Function symbol KB weights: 
% 0.72/1.02  
% 0.72/1.02  ============================== end of process initial clauses ========
% 0.72/1.02  
% 0.72/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.02  
% 0.72/1.02  ============================== end of clauses for search =============
% 0.72/1.02  
% 0.72/1.02  ============================== SEARCH ================================
% 0.72/1.02  
% 0.72/1.02  % Starting search at 0.02 seconds.
% 0.72/1.02  
% 0.72/1.02  ============================== PROOF =================================
% 0.72/1.02  % SZS status Unsatisfiable
% 0.72/1.02  % SZS output start Refutation
% 0.72/1.02  
% 0.72/1.02  % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.72/1.02  % Length of proof is 94.
% 0.72/1.02  % Level of proof is 21.
% 0.72/1.02  % Maximum clause weight is 4.000.
% 0.72/1.02  % Given clauses 110.
% 0.72/1.02  
% 0.72/1.02  1 u_38 | p_8 # label(u_t3_1) # label(axiom).  [assumption].
% 0.72/1.02  2 u_39 | p_9 # label(u_t3_2) # label(axiom).  [assumption].
% 0.72/1.02  3 u_40 | q_8 # label(u_t3_3) # label(axiom).  [assumption].
% 0.72/1.02  5 -u_1 # label(u_1_s3_goal_1) # label(axiom).  [assumption].
% 0.72/1.02  7 p_0 | -u_3 # label(u_3_s3_type11_2) # label(axiom).  [assumption].
% 0.72/1.02  8 p_1 | -u_4 # label(u_4_s3_type11_3) # label(axiom).  [assumption].
% 0.72/1.02  11 p_2 | -u_7 # label(u_7_s3_type11_6) # label(axiom).  [assumption].
% 0.72/1.02  12 p_3 | -u_8 # label(u_8_s3_type11_7) # label(axiom).  [assumption].
% 0.72/1.02  14 p_4 | -u_10 # label(u_10_s3_type11_9) # label(axiom).  [assumption].
% 0.72/1.02  17 p_5 | -u_13 # label(u_13_s3_type11_12) # label(axiom).  [assumption].
% 0.72/1.02  18 p_6 | -u_14 # label(u_14_s3_type11_13) # label(axiom).  [assumption].
% 0.72/1.02  20 p_7 | -u_16 # label(u_16_s3_type11_15) # label(axiom).  [assumption].
% 0.72/1.02  22 q_0 | -u_18 # label(u_18_s3_type12_1) # label(axiom).  [assumption].
% 0.72/1.02  24 q_1 | -u_20 # label(u_20_s3_type12_3) # label(axiom).  [assumption].
% 0.72/1.02  27 q_2 | -u_23 # label(u_23_s3_type12_6) # label(axiom).  [assumption].
% 0.72/1.02  28 q_3 | -u_24 # label(u_24_s3_type12_7) # label(axiom).  [assumption].
% 0.72/1.02  30 q_4 | -u_26 # label(u_26_s3_type12_9) # label(axiom).  [assumption].
% 0.72/1.02  33 q_5 | -u_29 # label(u_29_s3_type12_12) # label(axiom).  [assumption].
% 0.72/1.02  34 q_6 | -u_30 # label(u_30_s3_type12_13) # label(axiom).  [assumption].
% 0.72/1.02  37 q_7 | -u_33 # label(u_33_s3_type12_16) # label(axiom).  [assumption].
% 0.72/1.02  42 p_8 | -u_38 # label(u_38_t3_1) # label(axiom).  [assumption].
% 0.72/1.02  43 p_9 | -u_39 # label(u_39_t3_2) # label(axiom).  [assumption].
% 0.72/1.02  44 q_8 | -u_40 # label(u_40_t3_3) # label(axiom).  [assumption].
% 0.72/1.02  46 u_1 | -p_0 | -q_0 # label(u_s3_goal_1) # label(negated_conjecture).  [assumption].
% 0.72/1.02  47 -p_0 | -q_0.  [copy(46),unit_del(a,5)].
% 0.72/1.02  53 u_3 | p_0 | -q_1 | -q_2 # label(u_s3_type11_2) # label(axiom).  [assumption].
% 0.72/1.02  54 u_4 | p_1 | -p_2 | -p_3 # label(u_s3_type11_3) # label(axiom).  [assumption].
% 0.72/1.02  57 u_7 | p_2 | -q_3 | -q_4 # label(u_s3_type11_6) # label(axiom).  [assumption].
% 0.72/1.02  58 u_8 | p_3 | -p_4 | -p_5 # label(u_s3_type11_7) # label(axiom).  [assumption].
% 0.72/1.02  60 u_10 | p_4 | -p_5 | -p_6 # label(u_s3_type11_9) # label(axiom).  [assumption].
% 0.72/1.02  63 u_13 | p_5 | -q_6 | -q_7 # label(u_s3_type11_12) # label(axiom).  [assumption].
% 0.72/1.02  64 u_14 | p_6 | -p_7 | -p_8 # label(u_s3_type11_13) # label(axiom).  [assumption].
% 0.72/1.02  66 u_16 | p_7 | -p_8 | -p_9 # label(u_s3_type11_15) # label(axiom).  [assumption].
% 0.72/1.02  68 u_18 | q_0 | -p_1 | -q_2 # label(u_s3_type12_1) # label(axiom).  [assumption].
% 0.72/1.02  70 u_20 | q_1 | -p_2 | -q_3 # label(u_s3_type12_3) # label(axiom).  [assumption].
% 0.72/1.02  73 u_23 | q_2 | -q_3 | -p_4 # label(u_s3_type12_6) # label(axiom).  [assumption].
% 0.72/1.02  74 u_24 | q_3 | -p_4 | -q_5 # label(u_s3_type12_7) # label(axiom).  [assumption].
% 0.72/1.02  76 u_26 | q_4 | -p_5 | -q_6 # label(u_s3_type12_9) # label(axiom).  [assumption].
% 0.72/1.02  79 u_29 | q_5 | -q_6 | -p_7 # label(u_s3_type12_12) # label(axiom).  [assumption].
% 0.72/1.02  80 u_30 | q_6 | -p_7 | -q_8 # label(u_s3_type12_13) # label(axiom).  [assumption].
% 0.72/1.02  83 u_33 | q_7 | -q_8 | -p_9 # label(u_s3_type12_16) # label(axiom).  [assumption].
% 0.72/1.02  84 p_8.  [resolve(42,b,1,a),merge(b)].
% 0.72/1.02  87 u_16 | p_7 | -p_9.  [back_unit_del(66),unit_del(c,84)].
% 0.72/1.02  88 u_14 | p_6 | -p_7.  [back_unit_del(64),unit_del(d,84)].
% 0.72/1.02  89 p_9.  [resolve(43,b,2,a),merge(b)].
% 0.72/1.02  90 u_16 | p_7.  [back_unit_del(87),unit_del(c,89)].
% 0.72/1.02  91 u_33 | q_7 | -q_8.  [back_unit_del(83),unit_del(d,89)].
% 0.72/1.02  92 q_8.  [resolve(44,b,3,a),merge(b)].
% 0.72/1.02  93 u_33 | q_7.  [back_unit_del(91),unit_del(c,92)].
% 0.72/1.02  94 u_30 | q_6 | -p_7.  [back_unit_del(80),unit_del(d,92)].
% 0.72/1.02  100 p_7.  [resolve(90,a,20,b),merge(b)].
% 0.72/1.02  101 u_30 | q_6.  [back_unit_del(94),unit_del(c,100)].
% 0.72/1.02  102 u_14 | p_6.  [back_unit_del(88),unit_del(c,100)].
% 0.72/1.02  103 u_29 | q_5 | -q_6.  [back_unit_del(79),unit_del(d,100)].
% 0.72/1.02  105 q_7.  [resolve(93,a,37,b),merge(b)].
% 0.72/1.02  109 u_13 | p_5 | -q_6.  [back_unit_del(63),unit_del(d,105)].
% 0.72/1.02  110 q_6.  [resolve(101,a,34,b),merge(b)].
% 0.72/1.02  111 u_13 | p_5.  [back_unit_del(109),unit_del(c,110)].
% 0.72/1.02  112 u_29 | q_5.  [back_unit_del(103),unit_del(c,110)].
% 0.72/1.02  113 u_26 | q_4 | -p_5.  [back_unit_del(76),unit_del(d,110)].
% 0.72/1.02  115 p_6.  [resolve(102,a,18,b),merge(b)].
% 0.72/1.02  119 u_10 | p_4 | -p_5.  [back_unit_del(60),unit_del(d,115)].
% 0.72/1.02  120 p_5.  [resolve(111,a,17,b),merge(b)].
% 0.72/1.02  121 u_10 | p_4.  [back_unit_del(119),unit_del(c,120)].
% 0.72/1.02  122 u_26 | q_4.  [back_unit_del(113),unit_del(c,120)].
% 0.72/1.02  124 u_8 | p_3 | -p_4.  [back_unit_del(58),unit_del(d,120)].
% 0.72/1.02  126 q_5.  [resolve(112,a,33,b),merge(b)].
% 0.72/1.02  129 u_24 | q_3 | -p_4.  [back_unit_del(74),unit_del(d,126)].
% 0.72/1.02  132 p_4.  [resolve(121,a,14,b),merge(b)].
% 0.72/1.02  133 u_24 | q_3.  [back_unit_del(129),unit_del(c,132)].
% 0.72/1.02  134 u_8 | p_3.  [back_unit_del(124),unit_del(c,132)].
% 0.72/1.02  135 u_23 | q_2 | -q_3.  [back_unit_del(73),unit_del(d,132)].
% 0.72/1.02  137 q_4.  [resolve(122,a,30,b),merge(b)].
% 0.72/1.02  141 u_7 | p_2 | -q_3.  [back_unit_del(57),unit_del(d,137)].
% 0.72/1.02  144 q_3.  [resolve(133,a,28,b),merge(b)].
% 0.72/1.02  145 u_7 | p_2.  [back_unit_del(141),unit_del(c,144)].
% 0.72/1.02  146 u_23 | q_2.  [back_unit_del(135),unit_del(c,144)].
% 0.72/1.02  147 u_20 | q_1 | -p_2.  [back_unit_del(70),unit_del(d,144)].
% 0.72/1.02  149 p_3.  [resolve(134,a,12,b),merge(b)].
% 0.72/1.02  153 u_4 | p_1 | -p_2.  [back_unit_del(54),unit_del(d,149)].
% 0.72/1.02  154 p_2.  [resolve(145,a,11,b),merge(b)].
% 0.72/1.02  155 u_4 | p_1.  [back_unit_del(153),unit_del(c,154)].
% 0.72/1.02  156 u_20 | q_1.  [back_unit_del(147),unit_del(c,154)].
% 0.72/1.02  159 q_2.  [resolve(146,a,27,b),merge(b)].
% 0.72/1.02  162 u_18 | q_0 | -p_1.  [back_unit_del(68),unit_del(d,159)].
% 0.72/1.02  163 u_3 | p_0 | -q_1.  [back_unit_del(53),unit_del(d,159)].
% 0.72/1.02  164 p_1.  [resolve(155,a,8,b),merge(b)].
% 0.72/1.02  165 u_18 | q_0.  [back_unit_del(162),unit_del(c,164)].
% 0.72/1.02  167 q_1.  [resolve(156,a,24,b),merge(b)].
% 0.72/1.02  168 u_3 | p_0.  [back_unit_del(163),unit_del(c,167)].
% 0.72/1.02  170 q_0.  [resolve(165,a,22,b),merge(b)].
% 0.72/1.02  171 -p_0.  [back_unit_del(47),unit_del(b,170)].
% 0.72/1.02  172 u_3.  [back_unit_del(168),unit_del(b,171)].
% 0.72/1.02  174 $F.  [back_unit_del(7),unit_del(a,171),unit_del(b,172)].
% 0.72/1.02  
% 0.72/1.02  % SZS output end Refutation
% 0.72/1.02  ============================== end of proof ==========================
% 0.72/1.02  
% 0.72/1.02  ============================== STATISTICS ============================
% 0.72/1.02  
% 0.72/1.02  Given=110. Generated=173. Kept=172. proofs=1.
% 0.72/1.02  Usable=22. Sos=1. Demods=0. Limbo=3, Disabled=228. Hints=0.
% 0.72/1.02  Megabytes=0.18.
% 0.72/1.02  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.72/1.02  
% 0.72/1.02  ============================== end of statistics =====================
% 0.72/1.02  
% 0.72/1.02  ============================== end of search =========================
% 0.72/1.02  
% 0.72/1.02  THEOREM PROVED
% 0.72/1.02  % SZS status Unsatisfiable
% 0.72/1.02  
% 0.72/1.02  Exiting with 1 proof.
% 0.72/1.02  
% 0.72/1.02  Process 20719 exit (max_proofs) Mon Jul 11 12:53:10 2022
% 0.72/1.02  Prover9 interrupted
%------------------------------------------------------------------------------