TSTP Solution File: SYO178^5 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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  : 300s
% DateTime : Tue May 21 08:59:29 EDT 2024

% Result   : Theorem 7.56s 2.97s
% Output   : Refutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  153 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :  725 (  40 equ;   0 cnn)
%            Maximal formula atoms :   58 (   5 avg)
%            Number of connectives :  839 ( 336   ~; 435   |;  68   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;  13 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cM_type,type,
    cM: $o ).

thf(cN_type,type,
    cN: $o ).

thf(cG_type,type,
    cG: $o ).

thf(cK_type,type,
    cK: $o ).

thf(cE_type,type,
    cE: $o ).

thf(cR_type,type,
    cR: $o ).

thf(cF_type,type,
    cF: $o ).

thf(cC_type,type,
    cC: $o ).

thf(cB_type,type,
    cB: $o ).

thf(cP_type,type,
    cP: $o ).

thf(cL_type,type,
    cL: $o ).

thf(1,conjecture,
    ~ ( cL
      & cE
      & ( ~ cF
        | cB )
      & ( ~ cL
        | ~ cP
        | cM )
      & ( ~ cG
        | cR
        | cM )
      & ( cG
        | cP
        | cR )
      & ( ~ cK
        | ~ cB
        | cC )
      & ( ~ cL
        | ~ cM
        | cC )
      & ( cG
        | cR
        | cK )
      & ( ~ cR
        | ~ cE
        | ~ cC )
      & ( ~ cR
        | cN
        | cF
        | cP )
      & ( ~ cK
        | ~ cL
        | ~ cE
        | ~ cM )
      & ( ~ cG
        | cK
        | cM
        | ~ cB )
      & ( ~ cN
        | cP
        | cF
        | cC )
      & ( ~ cG
        | ~ cB
        | cR
        | ~ cC )
      & ( cK
        | ~ cN
        | ~ cM
        | cF )
      & ( ~ cR
        | cK
        | cM
        | cG )
      & ( ~ cE
        | cK
        | ~ cG
        | cN
        | ~ cM ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP1C) ).

thf(2,negated_conjecture,
    ~ ~ ( cL
        & cE
        & ( ~ cF
          | cB )
        & ( ~ cL
          | ~ cP
          | cM )
        & ( ~ cG
          | cR
          | cM )
        & ( cG
          | cP
          | cR )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cL
          | ~ cM
          | cC )
        & ( cG
          | cR
          | cK )
        & ( ~ cR
          | ~ cE
          | ~ cC )
        & ( ~ cR
          | cN
          | cF
          | cP )
        & ( ~ cK
          | ~ cL
          | ~ cE
          | ~ cM )
        & ( ~ cG
          | cK
          | cM
          | ~ cB )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cG
          | ~ cB
          | cR
          | ~ cC )
        & ( cK
          | ~ cN
          | ~ cM
          | cF )
        & ( ~ cR
          | cK
          | cM
          | cG )
        & ( ~ cE
          | cK
          | ~ cG
          | cN
          | ~ cM ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ~ ( cL
        & cE
        & ( ~ cF
          | cB )
        & ( ~ cL
          | ~ cP
          | cM )
        & ( ~ cG
          | cR
          | cM )
        & ( cG
          | cP
          | cR )
        & ( ~ cK
          | ~ cB
          | cC )
        & ( ~ cL
          | ~ cM
          | cC )
        & ( cG
          | cR
          | cK )
        & ( ~ cR
          | ~ cE
          | ~ cC )
        & ( ~ cR
          | cN
          | cF
          | cP )
        & ( ~ cK
          | ~ cL
          | ~ cE
          | ~ cM )
        & ( ~ cG
          | cK
          | cM
          | ~ cB )
        & ( ~ cN
          | cP
          | cF
          | cC )
        & ( ~ cG
          | ~ cB
          | cR
          | ~ cC )
        & ( cK
          | ~ cN
          | ~ cM
          | cF )
        & ( ~ cR
          | cK
          | cM
          | cG )
        & ( ~ cE
          | cK
          | ~ cG
          | cN
          | ~ cM ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ( cL
    & cE
    & ( ~ cF
      | cB )
    & ( ~ cL
      | ~ cP
      | cM )
    & ( ~ cG
      | cR
      | cM )
    & ( cG
      | cP
      | cR )
    & ( ~ cK
      | ~ cB
      | cC )
    & ( ~ cL
      | ~ cM
      | cC )
    & ( cG
      | cR
      | cK )
    & ( ~ cR
      | ~ cE
      | ~ cC )
    & ( ~ cR
      | cN
      | cF
      | cP )
    & ( ~ cK
      | ~ cL
      | ~ cE
      | ~ cM )
    & ( ~ cG
      | cK
      | cM
      | ~ cB )
    & ( ~ cN
      | cP
      | cF
      | cC )
    & ( ~ cG
      | ~ cB
      | cR
      | ~ cC )
    & ( cK
      | ~ cN
      | ~ cM
      | cF )
    & ( ~ cR
      | cK
      | cM
      | cG )
    & ( ~ cE
      | cK
      | ~ cG
      | cN
      | ~ cM ) ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(17,plain,
    ( ~ cF
    | cB ),
    inference(cnf,[status(esa)],[4]) ).

thf(16,plain,
    ( ~ cG
    | cK
    | cM
    | ~ cB ),
    inference(cnf,[status(esa)],[4]) ).

thf(19,plain,
    ( cG
    | cR
    | cK ),
    inference(cnf,[status(esa)],[4]) ).

thf(22,plain,
    ( ~ cL
    | ~ cM
    | cC ),
    inference(cnf,[status(esa)],[4]) ).

thf(12,plain,
    cL,
    inference(cnf,[status(esa)],[4]) ).

thf(43,plain,
    ( ~ $true
    | ~ cM
    | cC ),
    inference(rewrite,[status(thm)],[22,12]) ).

thf(44,plain,
    ( ~ cM
    | cC ),
    inference(simp,[status(thm)],[43]) ).

thf(10,plain,
    ( ~ cR
    | ~ cE
    | ~ cC ),
    inference(cnf,[status(esa)],[4]) ).

thf(18,plain,
    cE,
    inference(cnf,[status(esa)],[4]) ).

thf(23,plain,
    ( ~ cR
    | ~ $true
    | ~ cC ),
    inference(rewrite,[status(thm)],[10,18]) ).

thf(24,plain,
    ( ~ cR
    | ~ cC ),
    inference(simp,[status(thm)],[23]) ).

thf(45,plain,
    ( ~ cM
    | ~ cR
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[44,24]) ).

thf(46,plain,
    ( ~ cM
    | ~ cR ),
    inference(pattern_uni,[status(thm)],[45:[]]) ).

thf(49,plain,
    ( cG
    | cK
    | ~ cM
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[19,46]) ).

thf(50,plain,
    ( cG
    | cK
    | ~ cM ),
    inference(pattern_uni,[status(thm)],[49:[]]) ).

thf(6,plain,
    ( ~ cK
    | ~ cL
    | ~ cE
    | ~ cM ),
    inference(cnf,[status(esa)],[4]) ).

thf(25,plain,
    ( ~ cK
    | ~ $true
    | ~ $true
    | ~ cM ),
    inference(rewrite,[status(thm)],[6,18,12]) ).

thf(26,plain,
    ( ~ cK
    | ~ cM ),
    inference(simp,[status(thm)],[25]) ).

thf(85,plain,
    ( cG
    | ~ cM
    | ( cK != cK ) ),
    inference(paramod_ordered,[status(thm)],[50,26]) ).

thf(86,plain,
    ( cG
    | ~ cM ),
    inference(pattern_uni,[status(thm)],[85:[]]) ).

thf(7,plain,
    ( ~ cE
    | cK
    | ~ cG
    | cN
    | ~ cM ),
    inference(cnf,[status(esa)],[4]) ).

thf(33,plain,
    ( ~ $true
    | cK
    | ~ cG
    | cN
    | ~ cM ),
    inference(rewrite,[status(thm)],[7,18]) ).

thf(34,plain,
    ( cK
    | ~ cG
    | cN
    | ~ cM ),
    inference(simp,[status(thm)],[33]) ).

thf(37,plain,
    ( ~ cG
    | cN
    | ~ cM
    | ( cK != cK ) ),
    inference(paramod_ordered,[status(thm)],[34,26]) ).

thf(38,plain,
    ( ~ cG
    | cN
    | ~ cM ),
    inference(pattern_uni,[status(thm)],[37:[]]) ).

thf(93,plain,
    ( ~ cM
    | cN
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[86,38]) ).

thf(94,plain,
    ( ~ cM
    | cN ),
    inference(pattern_uni,[status(thm)],[93:[]]) ).

thf(14,plain,
    ( cK
    | ~ cN
    | ~ cM
    | cF ),
    inference(cnf,[status(esa)],[4]) ).

thf(117,plain,
    ( ~ cM
    | cK
    | cF
    | ( cN != cN ) ),
    inference(paramod_ordered,[status(thm)],[94,14]) ).

thf(118,plain,
    ( ~ cM
    | cK
    | cF ),
    inference(pattern_uni,[status(thm)],[117:[]]) ).

thf(13,plain,
    ( ~ cG
    | ~ cB
    | cR
    | ~ cC ),
    inference(cnf,[status(esa)],[4]) ).

thf(53,plain,
    ( ~ cM
    | ~ cG
    | ~ cB
    | cR
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[44,13]) ).

thf(54,plain,
    ( ~ cM
    | ~ cG
    | ~ cB
    | cR ),
    inference(pattern_uni,[status(thm)],[53:[]]) ).

thf(97,plain,
    ( ~ cM
    | ~ cB
    | cR
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[86,54]) ).

thf(98,plain,
    ( ~ cM
    | ~ cB
    | cR ),
    inference(pattern_uni,[status(thm)],[97:[]]) ).

thf(125,plain,
    ( ~ cF
    | ~ cM
    | cR
    | ( cB != cB ) ),
    inference(paramod_ordered,[status(thm)],[17,98]) ).

thf(126,plain,
    ( ~ cF
    | ~ cM
    | cR ),
    inference(pattern_uni,[status(thm)],[125:[]]) ).

thf(135,plain,
    ( ~ cM
    | cK
    | cR
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[118,126]) ).

thf(136,plain,
    ( ~ cM
    | cK
    | cR ),
    inference(pattern_uni,[status(thm)],[135:[]]) ).

thf(165,plain,
    ( ~ cM
    | cK
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[136,46]) ).

thf(166,plain,
    ( ~ cM
    | cK ),
    inference(pattern_uni,[status(thm)],[165:[]]) ).

thf(177,plain,
    ( ~ cM
    | ( cK != cK ) ),
    inference(paramod_ordered,[status(thm)],[166,26]) ).

thf(178,plain,
    ~ cM,
    inference(pattern_uni,[status(thm)],[177:[]]) ).

thf(189,plain,
    ( ~ cG
    | cK
    | $false
    | ~ cB ),
    inference(rewrite,[status(thm)],[16,178]) ).

thf(190,plain,
    ( ~ cG
    | cK
    | ~ cB ),
    inference(simp,[status(thm)],[189]) ).

thf(238,plain,
    ( ~ cF
    | ~ cG
    | cK
    | ( cB != cB ) ),
    inference(paramod_ordered,[status(thm)],[17,190]) ).

thf(239,plain,
    ( ~ cF
    | ~ cG
    | cK ),
    inference(pattern_uni,[status(thm)],[238:[]]) ).

thf(20,plain,
    ( ~ cN
    | cP
    | cF
    | cC ),
    inference(cnf,[status(esa)],[4]) ).

thf(15,plain,
    ( ~ cL
    | ~ cP
    | cM ),
    inference(cnf,[status(esa)],[4]) ).

thf(39,plain,
    ( ~ $true
    | ~ cP
    | cM ),
    inference(rewrite,[status(thm)],[15,12]) ).

thf(40,plain,
    ( ~ cP
    | cM ),
    inference(simp,[status(thm)],[39]) ).

thf(193,plain,
    ( ~ cP
    | $false ),
    inference(rewrite,[status(thm)],[40,178]) ).

thf(194,plain,
    ~ cP,
    inference(simp,[status(thm)],[193]) ).

thf(217,plain,
    ( ~ cN
    | $false
    | cF
    | cC ),
    inference(rewrite,[status(thm)],[20,194]) ).

thf(218,plain,
    ( ~ cN
    | cF
    | cC ),
    inference(simp,[status(thm)],[217]) ).

thf(5,plain,
    ( cG
    | cP
    | cR ),
    inference(cnf,[status(esa)],[4]) ).

thf(41,plain,
    ( cG
    | cR
    | cM
    | ( cP != cP ) ),
    inference(paramod_ordered,[status(thm)],[5,40]) ).

thf(42,plain,
    ( cG
    | cR
    | cM ),
    inference(pattern_uni,[status(thm)],[41:[]]) ).

thf(61,plain,
    ( cG
    | cM
    | ~ cC
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[42,24]) ).

thf(62,plain,
    ( cG
    | cM
    | ~ cC ),
    inference(pattern_uni,[status(thm)],[61:[]]) ).

thf(199,plain,
    ( cG
    | $false
    | ~ cC ),
    inference(rewrite,[status(thm)],[62,178]) ).

thf(200,plain,
    ( cG
    | ~ cC ),
    inference(simp,[status(thm)],[199]) ).

thf(223,plain,
    ( ~ cN
    | cF
    | cG
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[218,200]) ).

thf(224,plain,
    ( ~ cN
    | cF
    | cG ),
    inference(pattern_uni,[status(thm)],[223:[]]) ).

thf(195,plain,
    ( cG
    | cR
    | $false ),
    inference(rewrite,[status(thm)],[42,178]) ).

thf(196,plain,
    ( cG
    | cR ),
    inference(simp,[status(thm)],[195]) ).

thf(21,plain,
    ( ~ cR
    | cK
    | cM
    | cG ),
    inference(cnf,[status(esa)],[4]) ).

thf(252,plain,
    ( ~ cR
    | cK
    | $false
    | cG ),
    inference(rewrite,[status(thm)],[21,178]) ).

thf(253,plain,
    ( ~ cR
    | cK
    | cG ),
    inference(simp,[status(thm)],[252]) ).

thf(254,plain,
    ( cG
    | cK
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[196,253]) ).

thf(255,plain,
    ( cG
    | cK ),
    inference(pattern_uni,[status(thm)],[254:[]]) ).

thf(9,plain,
    ( ~ cK
    | ~ cB
    | cC ),
    inference(cnf,[status(esa)],[4]) ).

thf(29,plain,
    ( ~ cF
    | ~ cK
    | cC
    | ( cB != cB ) ),
    inference(paramod_ordered,[status(thm)],[17,9]) ).

thf(30,plain,
    ( ~ cF
    | ~ cK
    | cC ),
    inference(pattern_uni,[status(thm)],[29:[]]) ).

thf(67,plain,
    ( ~ cF
    | ~ cK
    | ~ cR
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[30,24]) ).

thf(68,plain,
    ( ~ cF
    | ~ cK
    | ~ cR ),
    inference(pattern_uni,[status(thm)],[67:[]]) ).

thf(211,plain,
    ( cG
    | ~ cF
    | ~ cK
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[196,68]) ).

thf(212,plain,
    ( cG
    | ~ cF
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[211:[]]) ).

thf(270,plain,
    ( cG
    | ~ cF
    | ( cK != cK ) ),
    inference(paramod_ordered,[status(thm)],[255,212]) ).

thf(271,plain,
    ( cG
    | ~ cF ),
    inference(pattern_uni,[status(thm)],[270:[]]) ).

thf(352,plain,
    ( ~ cN
    | cG
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[224,271]) ).

thf(353,plain,
    ( ~ cN
    | cG ),
    inference(pattern_uni,[status(thm)],[352:[]]) ).

thf(8,plain,
    ( ~ cR
    | cN
    | cF
    | cP ),
    inference(cnf,[status(esa)],[4]) ).

thf(77,plain,
    ( cG
    | cM
    | cN
    | cF
    | cP
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[42,8]) ).

thf(78,plain,
    ( cG
    | cM
    | cN
    | cF
    | cP ),
    inference(pattern_uni,[status(thm)],[77:[]]) ).

thf(109,plain,
    ( cG
    | cM
    | cN
    | cF
    | ( cP != cP ) ),
    inference(paramod_ordered,[status(thm)],[78,40]) ).

thf(110,plain,
    ( cG
    | cM
    | cN
    | cF ),
    inference(pattern_uni,[status(thm)],[109:[]]) ).

thf(187,plain,
    ( cG
    | $false
    | cN
    | cF ),
    inference(rewrite,[status(thm)],[110,178]) ).

thf(188,plain,
    ( cG
    | cN
    | cF ),
    inference(simp,[status(thm)],[187]) ).

thf(274,plain,
    ( cG
    | cN
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[188,271]) ).

thf(275,plain,
    ( cG
    | cN ),
    inference(pattern_uni,[status(thm)],[274:[]]) ).

thf(11,plain,
    ( ~ cG
    | cR
    | cM ),
    inference(cnf,[status(esa)],[4]) ).

thf(191,plain,
    ( ~ cG
    | cR
    | $false ),
    inference(rewrite,[status(thm)],[11,178]) ).

thf(192,plain,
    ( ~ cG
    | cR ),
    inference(simp,[status(thm)],[191]) ).

thf(278,plain,
    ( cN
    | cR
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[275,192]) ).

thf(279,plain,
    ( cN
    | cR ),
    inference(pattern_uni,[status(thm)],[278:[]]) ).

thf(203,plain,
    ( ~ cR
    | cN
    | cF
    | $false ),
    inference(rewrite,[status(thm)],[8,194]) ).

thf(204,plain,
    ( ~ cR
    | cN
    | cF ),
    inference(simp,[status(thm)],[203]) ).

thf(287,plain,
    ( cN
    | cF
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[279,204]) ).

thf(288,plain,
    ( cN
    | cF ),
    inference(pattern_uni,[status(thm)],[287:[]]) ).

thf(296,plain,
    ( cN
    | cB
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[288,17]) ).

thf(297,plain,
    ( cN
    | cB ),
    inference(pattern_uni,[status(thm)],[296:[]]) ).

thf(282,plain,
    ( cN
    | cK
    | ~ cB
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[275,190]) ).

thf(283,plain,
    ( cN
    | cK
    | ~ cB ),
    inference(pattern_uni,[status(thm)],[282:[]]) ).

thf(434,plain,
    ( cN
    | cK
    | ( cB != cB ) ),
    inference(paramod_ordered,[status(thm)],[297,283]) ).

thf(435,plain,
    ( cN
    | cK ),
    inference(pattern_uni,[status(thm)],[434:[]]) ).

thf(250,plain,
    ( ~ cR
    | cN
    | ~ cK
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[204,68]) ).

thf(251,plain,
    ( ~ cR
    | cN
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[250:[]]) ).

thf(416,plain,
    ( cN
    | ~ cK
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[279,251]) ).

thf(417,plain,
    ( cN
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[416:[]]) ).

thf(440,plain,
    ( cN
    | ( cK != cK ) ),
    inference(paramod_ordered,[status(thm)],[435,417]) ).

thf(441,plain,
    cN,
    inference(pattern_uni,[status(thm)],[440:[]]) ).

thf(450,plain,
    ( ~ $true
    | cG ),
    inference(rewrite,[status(thm)],[353,441]) ).

thf(451,plain,
    cG,
    inference(simp,[status(thm)],[450]) ).

thf(468,plain,
    ( ~ cF
    | ~ $true
    | cK ),
    inference(rewrite,[status(thm)],[239,451]) ).

thf(469,plain,
    ( ~ cF
    | cK ),
    inference(simp,[status(thm)],[468]) ).

thf(31,plain,
    ( ~ cG
    | cM
    | ~ cC
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[11,24]) ).

thf(32,plain,
    ( ~ cG
    | cM
    | ~ cC ),
    inference(pattern_uni,[status(thm)],[31:[]]) ).

thf(197,plain,
    ( ~ cG
    | $false
    | ~ cC ),
    inference(rewrite,[status(thm)],[32,178]) ).

thf(198,plain,
    ( ~ cG
    | ~ cC ),
    inference(simp,[status(thm)],[197]) ).

thf(221,plain,
    ( ~ cN
    | cF
    | ~ cG
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[218,198]) ).

thf(222,plain,
    ( ~ cN
    | cF
    | ~ cG ),
    inference(pattern_uni,[status(thm)],[221:[]]) ).

thf(365,plain,
    ( ~ cN
    | cF
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[353,222]) ).

thf(366,plain,
    ( ~ cN
    | cF ),
    inference(pattern_uni,[status(thm)],[365:[]]) ).

thf(458,plain,
    ( ~ $true
    | cF ),
    inference(rewrite,[status(thm)],[366,441]) ).

thf(459,plain,
    cF,
    inference(simp,[status(thm)],[458]) ).

thf(219,plain,
    ( ~ cN
    | cF
    | ~ cR
    | ( cC != cC ) ),
    inference(paramod_ordered,[status(thm)],[218,24]) ).

thf(220,plain,
    ( ~ cN
    | cF
    | ~ cR ),
    inference(pattern_uni,[status(thm)],[219:[]]) ).

thf(324,plain,
    ( ~ cN
    | ~ cR
    | ~ cK
    | ( cF != cF ) ),
    inference(paramod_ordered,[status(thm)],[220,68]) ).

thf(325,plain,
    ( ~ cN
    | ~ cR
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[324:[]]) ).

thf(328,plain,
    ( ~ cG
    | ~ cN
    | ~ cK
    | ( cR != cR ) ),
    inference(paramod_ordered,[status(thm)],[192,325]) ).

thf(329,plain,
    ( ~ cG
    | ~ cN
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[328:[]]) ).

thf(361,plain,
    ( ~ cN
    | ~ cK
    | ( cG != cG ) ),
    inference(paramod_ordered,[status(thm)],[353,329]) ).

thf(362,plain,
    ( ~ cN
    | ~ cK ),
    inference(pattern_uni,[status(thm)],[361:[]]) ).

thf(460,plain,
    ( ~ $true
    | ~ cK ),
    inference(rewrite,[status(thm)],[362,441]) ).

thf(461,plain,
    ~ cK,
    inference(simp,[status(thm)],[460]) ).

thf(482,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[469,459,461]) ).

thf(483,plain,
    $false,
    inference(simp,[status(thm)],[482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.33  % Computer : n020.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  : 300
% 0.12/0.33  % DateTime : Mon May 20 08:46:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.00/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.37/1.14  % [INFO] 	 Parsing done (163ms). 
% 1.37/1.15  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.52  % [INFO] 	 nitpick registered as external prover. 
% 1.84/1.53  % [INFO] 	 Scanning for conjecture ... 
% 2.10/1.64  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.32/1.68  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.32/1.68  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.32/1.69  % [INFO] 	 Type checking passed. 
% 2.32/1.69  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 7.56/2.97  % [INFO] 	 Killing All external provers ... 
% 7.56/2.97  % Time passed: 2486ms (effective reasoning time: 1813ms)
% 7.56/2.97  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.56/2.97  % Axioms used in derivation (0): 
% 7.56/2.97  % No. of inferences in proof: 142
% 7.56/2.97  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2486 ms resp. 1813 ms w/o parsing
% 7.56/3.04  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.56/3.04  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------