TSTP Solution File: PUZ030-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n032.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 : Mon Jul 18 18:23:53 EDT 2022

% Result   : Unsatisfiable 0.53s 0.85s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sun May 29 01:09:41 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.53/0.85  ============================== Prover9 ===============================
% 0.53/0.85  Prover9 (32) version 2009-11A, November 2009.
% 0.53/0.85  Process 16965 was started by sandbox on n032.cluster.edu,
% 0.53/0.85  Sun May 29 01:09:41 2022
% 0.53/0.85  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16810_n032.cluster.edu".
% 0.53/0.85  ============================== end of head ===========================
% 0.53/0.85  
% 0.53/0.85  ============================== INPUT =================================
% 0.53/0.85  
% 0.53/0.85  % Reading from file /tmp/Prover9_16810_n032.cluster.edu
% 0.53/0.85  
% 0.53/0.85  set(prolog_style_variables).
% 0.53/0.85  set(auto2).
% 0.53/0.85      % set(auto2) -> set(auto).
% 0.53/0.85      % set(auto) -> set(auto_inference).
% 0.53/0.85      % set(auto) -> set(auto_setup).
% 0.53/0.85      % set(auto_setup) -> set(predicate_elim).
% 0.53/0.85      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.53/0.85      % set(auto) -> set(auto_limits).
% 0.53/0.85      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.53/0.85      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.53/0.85      % set(auto) -> set(auto_denials).
% 0.53/0.85      % set(auto) -> set(auto_process).
% 0.53/0.85      % set(auto2) -> assign(new_constants, 1).
% 0.53/0.85      % set(auto2) -> assign(fold_denial_max, 3).
% 0.53/0.85      % set(auto2) -> assign(max_weight, "200.000").
% 0.53/0.85      % set(auto2) -> assign(max_hours, 1).
% 0.53/0.85      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.53/0.85      % set(auto2) -> assign(max_seconds, 0).
% 0.53/0.85      % set(auto2) -> assign(max_minutes, 5).
% 0.53/0.85      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.53/0.85      % set(auto2) -> set(sort_initial_sos).
% 0.53/0.85      % set(auto2) -> assign(sos_limit, -1).
% 0.53/0.85      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.53/0.85      % set(auto2) -> assign(max_megs, 400).
% 0.53/0.85      % set(auto2) -> assign(stats, some).
% 0.53/0.85      % set(auto2) -> clear(echo_input).
% 0.53/0.85      % set(auto2) -> set(quiet).
% 0.53/0.85      % set(auto2) -> clear(print_initial_clauses).
% 0.53/0.85      % set(auto2) -> clear(print_given).
% 0.53/0.85  assign(lrs_ticks,-1).
% 0.53/0.85  assign(sos_limit,10000).
% 0.53/0.85  assign(order,kbo).
% 0.53/0.85  set(lex_order_vars).
% 0.53/0.85  clear(print_given).
% 0.53/0.85  
% 0.53/0.85  % formulas(sos).  % not echoed (63 formulas)
% 0.53/0.85  
% 0.53/0.85  ============================== end of input ==========================
% 0.53/0.85  
% 0.53/0.85  % From the command line: assign(max_seconds, 300).
% 0.53/0.85  
% 0.53/0.85  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.53/0.85  
% 0.53/0.85  % Formulas that are not ordinary clauses:
% 0.53/0.85  
% 0.53/0.85  ============================== end of process non-clausal formulas ===
% 0.53/0.85  
% 0.53/0.85  ============================== PROCESS INITIAL CLAUSES ===============
% 0.53/0.85  
% 0.53/0.85  ============================== PREDICATE ELIMINATION =================
% 0.53/0.85  
% 0.53/0.85  ============================== end predicate elimination =============
% 0.53/0.85  
% 0.53/0.85  Auto_denials:  (non-Horn, no changes).
% 0.53/0.85  
% 0.53/0.85  Term ordering decisions:
% 0.53/0.85  Function symbol KB weights: 
% 0.53/0.85  
% 0.53/0.85  ============================== end of process initial clauses ========
% 0.53/0.85  
% 0.53/0.85  ============================== CLAUSES FOR SEARCH ====================
% 0.53/0.85  
% 0.53/0.85  ============================== end of clauses for search =============
% 0.53/0.85  
% 0.53/0.85  ============================== SEARCH ================================
% 0.53/0.85  
% 0.53/0.85  % Starting search at 0.01 seconds.
% 0.53/0.85  
% 0.53/0.85  ============================== PROOF =================================
% 0.53/0.85  % SZS status Unsatisfiable
% 0.53/0.85  % SZS output start Refutation
% 0.53/0.85  
% 0.53/0.85  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.53/0.85  % Length of proof is 120.
% 0.53/0.85  % Level of proof is 30.
% 0.53/0.85  % Maximum clause weight is 10.000.
% 0.53/0.85  % Given clauses 179.
% 0.53/0.85  
% 0.53/0.85  1 salt_mill | mustard_mill | mustard_lang # label(c56) # label(hypothesis).  [assumption].
% 0.53/0.85  2 salt_cole | mustard_cole | mustard_lang # label(c57) # label(hypothesis).  [assumption].
% 0.53/0.85  3 salt_mill | mustard_mill | mustard_dix # label(c58) # label(hypothesis).  [assumption].
% 0.53/0.85  4 salt_lang | mustard_lang | mustard_dix # label(c59) # label(hypothesis).  [assumption].
% 0.53/0.85  5 salt_barry | mustard_barry | salt_dix # label(c60) # label(hypothesis).  [assumption].
% 0.53/0.85  6 salt_mill | mustard_mill | salt_cole # label(c61) # label(hypothesis).  [assumption].
% 0.53/0.85  7 salt_dix | mustard_dix | mustard_barry # label(c62) # label(hypothesis).  [assumption].
% 0.53/0.85  8 -mustard_lang | -mustard_cole | -mustard_mill # label(c5) # label(hypothesis).  [assumption].
% 0.53/0.85  9 -mustard_lang | -mustard_cole | -salt_mill # label(c6) # label(hypothesis).  [assumption].
% 0.53/0.85  10 -mustard_lang | -salt_cole | -mustard_mill # label(c7) # label(hypothesis).  [assumption].
% 0.53/0.85  11 -mustard_lang | -salt_cole | -salt_mill # label(c8) # label(hypothesis).  [assumption].
% 0.53/0.85  13 -mustard_dix | -mustard_lang | -salt_mill # label(c10) # label(hypothesis).  [assumption].
% 0.53/0.85  14 -mustard_dix | -salt_lang | -mustard_mill # label(c11) # label(hypothesis).  [assumption].
% 0.53/0.85  15 -mustard_dix | -salt_lang | -salt_mill # label(c12) # label(hypothesis).  [assumption].
% 0.53/0.85  17 -salt_cole | -mustard_barry | -salt_barry | -salt_mill # label(c46) # label(hypothesis).  [assumption].
% 0.53/0.85  18 -mustard_mill | -mustard_cole | -salt_cole | -mustard_dix | -salt_dix # label(c49) # label(hypothesis).  [assumption].
% 0.53/0.85  24 -salt_mill | salt_barry | salt_lang # label(c4) # label(hypothesis).  [assumption].
% 0.53/0.85  27 -salt_dix | -salt_barry | mustard_cole # label(c15) # label(hypothesis).  [assumption].
% 0.53/0.85  28 -salt_dix | -salt_barry | salt_cole # label(c16) # label(hypothesis).  [assumption].
% 0.53/0.85  29 -mustard_cole | mustard_dix | mustard_lang # label(c17) # label(hypothesis).  [assumption].
% 0.53/0.85  31 -mustard_cole | salt_dix | mustard_lang # label(c19) # label(hypothesis).  [assumption].
% 0.53/0.85  37 salt_dix | -mustard_dix | mustard_mill # label(c25) # label(hypothesis).  [assumption].
% 0.53/0.85  38 -salt_dix | mustard_dix | mustard_mill # label(c26) # label(hypothesis).  [assumption].
% 0.53/0.85  41 -salt_lang | -mustard_lang | salt_mill # label(c29) # label(hypothesis).  [assumption].
% 0.53/0.85  42 -salt_barry | -mustard_barry | salt_mill # label(c30) # label(hypothesis).  [assumption].
% 0.53/0.85  43 salt_dix | -mustard_dix | salt_lang # label(c31) # label(hypothesis).  [assumption].
% 0.53/0.85  46 -salt_barry | mustard_barry | salt_lang # label(c34) # label(hypothesis).  [assumption].
% 0.53/0.85  47 -salt_cole | -mustard_cole | salt_dix # label(c35) # label(hypothesis).  [assumption].
% 0.53/0.85  48 -salt_lang | -mustard_lang | mustard_cole # label(c36) # label(hypothesis).  [assumption].
% 0.53/0.85  53 salt_lang | -mustard_lang | salt_barry # label(c41) # label(hypothesis).  [assumption].
% 0.53/0.85  54 -salt_lang | mustard_lang | salt_barry # label(c42) # label(hypothesis).  [assumption].
% 0.53/0.85  55 salt_cole | -mustard_cole | salt_barry # label(c43) # label(hypothesis).  [assumption].
% 0.53/0.85  56 -salt_cole | mustard_cole | salt_barry # label(c44) # label(hypothesis).  [assumption].
% 0.53/0.85  57 -salt_cole | salt_barry | mustard_barry | -mustard_mill # label(c47) # label(hypothesis).  [assumption].
% 0.53/0.85  59 -mustard_mill | salt_cole | mustard_cole | salt_dix | mustard_dix # label(c50) # label(hypothesis).  [assumption].
% 0.53/0.85  61 -salt_lang | salt_barry | mustard_barry | -mustard_dix | -salt_dix # label(c53) # label(hypothesis).  [assumption].
% 0.53/0.85  63 salt_lang | -mustard_barry | -salt_barry | -salt_mill | -mustard_lang | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill # label(prove_who_takes_what) # label(negated_conjecture).  [assumption].
% 0.53/0.85  66 -mustard_lang | -salt_cole | salt_mill | mustard_dix.  [resolve(10,c,3,b)].
% 0.53/0.85  71 -mustard_dix | -salt_lang | salt_mill | mustard_lang.  [resolve(14,c,1,b)].
% 0.53/0.85  72 -mustard_cole | -salt_cole | -mustard_dix | -salt_dix | salt_mill | mustard_lang.  [resolve(18,a,1,b)].
% 0.53/0.85  73 salt_dix | mustard_mill | mustard_barry.  [resolve(37,b,7,b),merge(c)].
% 0.53/0.85  74 mustard_dix | mustard_mill | salt_barry | mustard_barry.  [resolve(38,a,5,c)].
% 0.53/0.85  76 salt_dix | salt_lang | mustard_barry.  [resolve(43,b,7,b),merge(c)].
% 0.53/0.85  78 -salt_lang | mustard_cole | salt_cole.  [resolve(48,b,2,c),merge(d)].
% 0.53/0.85  80 salt_lang | salt_barry | salt_cole | mustard_cole.  [resolve(53,b,2,c)].
% 0.53/0.85  82 -salt_cole | salt_barry | mustard_barry | salt_mill | mustard_lang.  [resolve(57,d,1,b)].
% 0.53/0.85  83 salt_cole | mustard_cole | salt_dix | mustard_dix | salt_mill.  [resolve(59,a,6,b),merge(f)].
% 0.53/0.85  84 salt_lang | -mustard_barry | -salt_barry | -salt_mill | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill.  [resolve(63,e,4,b),merge(j),merge(k)].
% 0.53/0.85  86 salt_dix | mustard_barry | -mustard_dix | -salt_lang.  [resolve(73,b,14,c)].
% 0.53/0.85  107 mustard_dix | salt_barry | mustard_barry | -salt_cole.  [resolve(74,b,57,d),merge(e),merge(f)].
% 0.53/0.85  110 salt_lang | salt_barry | mustard_cole.  [resolve(80,c,56,a),merge(d),merge(e)].
% 0.53/0.85  111 salt_barry | mustard_cole | salt_cole.  [resolve(110,a,78,a),merge(c)].
% 0.53/0.85  113 salt_barry | mustard_cole.  [resolve(111,c,56,a),merge(c),merge(d)].
% 0.53/0.85  114 salt_barry | salt_cole.  [resolve(113,b,55,b),merge(c)].
% 0.53/0.85  115 salt_barry | mustard_dix | mustard_lang.  [resolve(113,b,29,a)].
% 0.53/0.85  116 salt_barry | mustard_barry | salt_mill | mustard_lang.  [resolve(114,b,82,a),merge(b)].
% 0.53/0.85  117 salt_barry | -mustard_cole | -mustard_dix | -salt_dix | salt_mill | mustard_lang.  [resolve(114,b,72,b)].
% 0.53/0.85  118 salt_barry | -mustard_cole | salt_dix.  [resolve(114,b,47,a)].
% 0.53/0.85  119 salt_barry | mustard_dix | -salt_cole | salt_mill.  [resolve(115,c,66,a),merge(e)].
% 0.53/0.85  122 salt_barry | mustard_dix | -salt_cole | -salt_mill.  [resolve(115,c,11,a)].
% 0.53/0.85  124 salt_barry | salt_dix.  [resolve(118,b,113,b),merge(c)].
% 0.53/0.85  130 salt_lang | -mustard_barry | -salt_barry | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill.  [resolve(84,d,83,e),merge(i),merge(j),merge(k),merge(l)].
% 0.53/0.85  131 salt_dix | mustard_barry | -salt_lang.  [resolve(86,c,7,b),merge(d),merge(e)].
% 0.53/0.85  132 salt_dix | mustard_barry.  [resolve(131,c,76,b),merge(c),merge(d)].
% 0.53/0.85  134 mustard_barry | mustard_dix | mustard_mill.  [resolve(132,a,38,a)].
% 0.53/0.85  135 mustard_barry | -salt_barry | mustard_cole.  [resolve(132,a,27,a)].
% 0.53/0.85  139 mustard_barry | mustard_dix | -mustard_lang | -mustard_cole.  [resolve(134,c,8,c)].
% 0.53/0.85  141 mustard_dix | salt_barry | mustard_barry.  [resolve(107,d,114,b),merge(d)].
% 0.53/0.85  142 salt_barry | mustard_barry | -salt_lang | -salt_dix.  [resolve(141,a,61,d),merge(d),merge(e)].
% 0.53/0.85  143 salt_barry | mustard_barry | salt_mill | salt_lang.  [resolve(116,d,53,b),merge(e)].
% 0.53/0.85  145 salt_barry | mustard_dix | salt_mill.  [resolve(119,c,114,b),merge(d)].
% 0.53/0.85  147 salt_barry | mustard_dix | -salt_cole.  [resolve(122,d,145,c),merge(d),merge(e)].
% 0.53/0.85  148 salt_barry | mustard_dix.  [resolve(147,c,114,b),merge(c)].
% 0.53/0.85  149 salt_barry | -mustard_cole | -salt_dix | salt_mill | mustard_lang.  [resolve(148,b,117,c),merge(b)].
% 0.53/0.85  158 salt_barry | mustard_barry | salt_lang.  [resolve(143,c,24,a),merge(d),merge(e)].
% 0.53/0.85  159 salt_barry | mustard_barry | -salt_dix.  [resolve(158,c,142,c),merge(c),merge(d)].
% 0.53/0.85  162 salt_barry | mustard_barry.  [resolve(159,c,132,a),merge(c)].
% 0.53/0.85  163 mustard_barry | mustard_cole.  [resolve(162,a,135,b),merge(b)].
% 0.53/0.85  165 mustard_barry | salt_lang.  [resolve(162,a,46,a),merge(b)].
% 0.53/0.85  166 mustard_barry | mustard_dix | mustard_lang.  [resolve(163,b,29,a)].
% 0.53/0.85  168 salt_barry | -salt_dix | salt_mill | mustard_lang.  [resolve(149,b,113,b),merge(e)].
% 0.53/0.85  169 mustard_barry | mustard_dix | -mustard_cole.  [resolve(166,c,139,c),merge(c),merge(d)].
% 0.53/0.85  172 mustard_barry | mustard_dix.  [resolve(169,c,163,b),merge(c)].
% 0.53/0.85  173 mustard_barry | -salt_lang | salt_mill | mustard_lang.  [resolve(172,b,71,a)].
% 0.53/0.85  175 salt_barry | salt_mill | mustard_lang.  [resolve(168,b,124,b),merge(d)].
% 0.53/0.85  176 salt_barry | salt_mill | salt_lang.  [resolve(175,c,53,b),merge(d)].
% 0.53/0.85  177 salt_barry | salt_mill | -salt_lang.  [resolve(175,c,41,b),merge(d)].
% 0.53/0.85  178 salt_barry | salt_lang.  [resolve(176,b,24,a),merge(c),merge(d)].
% 0.53/0.85  179 salt_barry | mustard_lang.  [resolve(178,b,54,a),merge(c)].
% 0.53/0.85  180 mustard_barry | salt_mill | mustard_lang.  [resolve(173,b,165,b),merge(d)].
% 0.53/0.85  181 salt_barry | -mustard_dix | -salt_mill.  [resolve(179,b,13,b)].
% 0.53/0.85  184 salt_barry | salt_mill.  [resolve(177,c,178,b),merge(c)].
% 0.53/0.85  186 mustard_barry | salt_mill | -salt_lang.  [resolve(180,c,41,b),merge(d)].
% 0.53/0.85  187 salt_barry | -mustard_dix.  [resolve(181,c,184,b),merge(c)].
% 0.53/0.85  188 salt_barry.  [resolve(187,b,148,b),merge(b)].
% 0.53/0.85  189 salt_lang | -mustard_barry | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill.  [back_unit_del(130),unit_del(c,188)].
% 0.53/0.85  192 -mustard_barry | salt_mill.  [back_unit_del(42),unit_del(a,188)].
% 0.53/0.85  193 -salt_dix | salt_cole.  [back_unit_del(28),unit_del(b,188)].
% 0.53/0.85  197 -salt_cole | -mustard_barry | -salt_mill.  [back_unit_del(17),unit_del(c,188)].
% 0.53/0.85  199 mustard_barry | salt_mill.  [resolve(186,c,165,b),merge(c)].
% 0.53/0.85  201 mustard_barry | -mustard_dix | -salt_lang.  [resolve(199,b,15,c)].
% 0.53/0.85  206 mustard_barry | -salt_lang.  [resolve(201,b,172,b),merge(c)].
% 0.53/0.85  207 mustard_barry.  [resolve(206,b,165,b),merge(b)].
% 0.53/0.85  209 -salt_cole | -salt_mill.  [back_unit_del(197),unit_del(b,207)].
% 0.53/0.85  211 salt_mill.  [back_unit_del(192),unit_del(a,207)].
% 0.53/0.85  213 salt_lang | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill.  [back_unit_del(189),unit_del(b,207)].
% 0.53/0.85  216 -salt_cole.  [back_unit_del(209),unit_del(b,211)].
% 0.53/0.85  220 -mustard_lang | -mustard_cole.  [back_unit_del(9),unit_del(c,211)].
% 0.53/0.85  221 salt_lang | mustard_cole | salt_dix | mustard_dix | mustard_mill.  [back_unit_del(213),unit_del(b,216)].
% 0.53/0.85  222 -salt_dix.  [back_unit_del(193),unit_del(b,216)].
% 0.53/0.85  223 -salt_lang | mustard_cole.  [back_unit_del(78),unit_del(c,216)].
% 0.53/0.85  224 -mustard_mill | mustard_cole | mustard_dix.  [back_unit_del(59),unit_del(b,216),unit_del(d,222)].
% 0.53/0.85  227 salt_lang | mustard_cole | mustard_dix | mustard_mill.  [back_unit_del(221),unit_del(c,222)].
% 0.53/0.85  229 -mustard_dix | salt_lang.  [back_unit_del(43),unit_del(a,222)].
% 0.53/0.85  231 -mustard_cole | mustard_lang.  [back_unit_del(31),unit_del(b,222)].
% 0.53/0.85  232 salt_lang | mustard_cole | mustard_dix.  [resolve(227,d,224,a),merge(d),merge(e)].
% 0.53/0.85  233 salt_lang | mustard_cole.  [resolve(232,c,229,a),merge(c)].
% 0.53/0.85  235 mustard_cole.  [resolve(233,a,223,a),merge(b)].
% 0.53/0.85  236 mustard_lang.  [back_unit_del(231),unit_del(a,235)].
% 0.53/0.85  239 $F.  [back_unit_del(220),unit_del(a,236),unit_del(b,235)].
% 0.53/0.85  
% 0.53/0.85  % SZS output end Refutation
% 0.53/0.85  ============================== end of proof ==========================
% 0.53/0.85  
% 0.53/0.85  ============================== STATISTICS ============================
% 0.53/0.85  
% 0.53/0.85  Given=179. Generated=545. Kept=238. proofs=1.
% 0.53/0.85  Usable=11. Sos=0. Demods=0. Limbo=4, Disabled=286. Hints=0.
% 0.53/0.85  Megabytes=0.13.
% 0.53/0.85  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.53/0.85  
% 0.53/0.85  ============================== end of statistics =====================
% 0.53/0.85  
% 0.53/0.85  ============================== end of search =========================
% 0.53/0.85  
% 0.53/0.85  THEOREM PROVED
% 0.53/0.85  % SZS status Unsatisfiable
% 0.53/0.85  
% 0.53/0.85  Exiting with 1 proof.
% 0.53/0.85  
% 0.53/0.85  Process 16965 exit (max_proofs) Sun May 29 01:09:41 2022
% 0.53/0.85  Prover9 interrupted
%------------------------------------------------------------------------------