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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR061+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n029.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 : Thu Jul 24 11:18:56 AM UTC 2025

% Result   : Theorem 17.29s 2.54s
% Output   : CNFRefutation 17.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   86 (  54 unt;   0 def)
%            Number of atoms       :  144 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  106 (  48   ~;  45   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   34 (   0 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query61,plain,
    ( mtvisible(c_timehasnoendmt)
   => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query61) ).

fof(query61_negated,plain,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(negate_conjecture,[status(cth)],[query61]) ).

cnf(119,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(cnf,[status(esa)],[query61_negated]) ).

cnf(l0,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(instantiation,[status(thm)],[119]) ).

fof(just55,plain,
    ! [ARG1,OLD,NEW] :
      ( ( disjointwith(ARG1,OLD)
        & genls(NEW,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).

cnf(54,plain,
    ( ~ genls(X0,X1)
    | ~ disjointwith(X2,X1)
    | disjointwith(X2,X0) ),
    inference(cnf,[status(esa)],[just55]) ).

cnf(l1,plain,
    ( ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
    | ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_3_114688)
    | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(instantiation,[status(thm)],[54]) ).

fof(just54,plain,
    ! [X,Y] :
      ( disjointwith(X,Y)
     => disjointwith(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

cnf(53,plain,
    ( ~ disjointwith(X0,X1)
    | disjointwith(X1,X0) ),
    inference(cnf,[status(esa)],[just54]) ).

cnf(l23,plain,
    ( ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_8_114177)
    | disjointwith(c_tptpcol_8_114177,c_tptpcol_3_114688) ),
    inference(instantiation,[status(thm)],[53]) ).

fof(just100,plain,
    ! [OLD,ARG2,NEW] :
      ( ( genls(OLD,ARG2)
        & genls(NEW,OLD) )
     => genls(NEW,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just100) ).

cnf(99,plain,
    ( ~ genls(X0,X1)
    | ~ genls(X2,X0)
    | genls(X2,X1) ),
    inference(cnf,[status(esa)],[just100]) ).

cnf(l2,plain,
    ( ~ genls(c_tptpcol_10_118020,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_10_118020)
    | genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ),
    inference(instantiation,[status(thm)],[99]) ).

fof(just97,plain,
    ! [X,Y,Z] :
      ( ( genls(X,Y)
        & genls(Y,Z) )
     => genls(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just97) ).

cnf(96,plain,
    ( ~ genls(X0,X1)
    | ~ genls(X1,X2)
    | genls(X0,X2) ),
    inference(cnf,[status(esa)],[just97]) ).

cnf(l26,plain,
    ( ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
    | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
    | genls(c_tptpcol_14_118118,c_tptpcol_10_118020) ),
    inference(instantiation,[status(thm)],[96]) ).

fof(just29,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

cnf(28,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(cnf,[status(esa)],[just29]) ).

cnf(l56,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(instantiation,[status(thm)],[28]) ).

cnf(l57,plain,
    ( ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
    | ~ genls(c_tptpcol_13_118117,c_tptpcol_11_118084)
    | genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
    inference(instantiation,[status(thm)],[96]) ).

cnf(l24,plain,
    ( ~ genls(c_tptpcol_8_114177,c_tptpcol_4_106497)
    | ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_4_106497)
    | disjointwith(c_tptpcol_3_114688,c_tptpcol_8_114177) ),
    inference(instantiation,[status(thm)],[54]) ).

fof(just101,plain,
    ! [ARG1,OLD,NEW] :
      ( ( genls(ARG1,OLD)
        & genls(OLD,NEW) )
     => genls(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just101) ).

cnf(100,plain,
    ( ~ genls(X0,X1)
    | ~ genls(X1,X2)
    | genls(X0,X2) ),
    inference(cnf,[status(esa)],[just101]) ).

cnf(l58,plain,
    ( ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
    | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
    | genls(c_tptpcol_13_118117,c_tptpcol_11_118084) ),
    inference(instantiation,[status(thm)],[100]) ).

fof(just31,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

cnf(30,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(cnf,[status(esa)],[just31]) ).

cnf(l62,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(instantiation,[status(thm)],[30]) ).

fof(just35,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

cnf(34,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(cnf,[status(esa)],[just35]) ).

cnf(l60,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(instantiation,[status(thm)],[34]) ).

cnf(l25,plain,
    ( ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_10_118020,c_tptpcol_6_116738)
    | genls(c_tptpcol_10_118020,c_tptpcol_3_114688) ),
    inference(instantiation,[status(thm)],[99]) ).

cnf(l27,plain,
    ( ~ genls(c_tptpcol_10_118020,c_tptpcol_8_117763)
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
    | genls(c_tptpcol_10_118020,c_tptpcol_6_116738) ),
    inference(instantiation,[status(thm)],[100]) ).

cnf(l71,plain,
    ( ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688)
    | disjointwith(c_tptpcol_3_114688,c_tptpcol_4_106497) ),
    inference(instantiation,[status(thm)],[53]) ).

cnf(l32,plain,
    ( ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
    | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
    | genls(c_tptpcol_10_118020,c_tptpcol_8_117763) ),
    inference(instantiation,[status(thm)],[99]) ).

fof(just33,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

cnf(32,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(cnf,[status(esa)],[just33]) ).

cnf(l59,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(instantiation,[status(thm)],[32]) ).

cnf(l70,plain,
    ( ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
    | genls(c_tptpcol_8_114177,c_tptpcol_4_106497) ),
    inference(instantiation,[status(thm)],[96]) ).

fof(just27,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

cnf(26,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(cnf,[status(esa)],[just27]) ).

cnf(l39,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(instantiation,[status(thm)],[26]) ).

fof(just25,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

cnf(24,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(cnf,[status(esa)],[just25]) ).

cnf(l38,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(instantiation,[status(thm)],[24]) ).

cnf(l28,plain,
    ( ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
    | genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ),
    inference(instantiation,[status(thm)],[99]) ).

cnf(l78,plain,
    ( ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
    | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
    | genls(c_tptpcol_8_114177,c_tptpcol_6_112641) ),
    inference(instantiation,[status(thm)],[99]) ).

fof(just13,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

cnf(12,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(cnf,[status(esa)],[just13]) ).

cnf(l83,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l79,plain,
    ( ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
    | ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
    | genls(c_tptpcol_6_112641,c_tptpcol_4_106497) ),
    inference(instantiation,[status(thm)],[100]) ).

fof(just56,plain,
    ! [OLD,ARG2,NEW] :
      ( ( disjointwith(OLD,ARG2)
        & genls(NEW,OLD) )
     => disjointwith(NEW,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

cnf(55,plain,
    ( ~ genls(X0,X1)
    | ~ disjointwith(X1,X2)
    | disjointwith(X0,X2) ),
    inference(cnf,[status(esa)],[just56]) ).

cnf(l72,plain,
    ( ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
    | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
    | disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688) ),
    inference(instantiation,[status(thm)],[55]) ).

cnf(l30,plain,
    ( ~ genls(c_tptpcol_6_116738,c_tptpcol_4_114689)
    | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
    | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ),
    inference(instantiation,[status(thm)],[100]) ).

fof(just15,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

cnf(14,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(cnf,[status(esa)],[just15]) ).

cnf(l42,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(instantiation,[status(thm)],[14]) ).

fof(just11,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

cnf(10,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(cnf,[status(esa)],[just11]) ).

cnf(l82,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(instantiation,[status(thm)],[10]) ).

fof(just37,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

cnf(36,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(cnf,[status(esa)],[just37]) ).

cnf(l74,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(instantiation,[status(thm)],[36]) ).

fof(just23,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

cnf(22,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(cnf,[status(esa)],[just23]) ).

cnf(l36,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(instantiation,[status(thm)],[22]) ).

fof(just21,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

cnf(20,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(cnf,[status(esa)],[just21]) ).

cnf(l29,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(instantiation,[status(thm)],[20]) ).

cnf(l33,plain,
    ( ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
    | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689)
    | genls(c_tptpcol_6_116738,c_tptpcol_4_114689) ),
    inference(instantiation,[status(thm)],[100]) ).

fof(just17,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

cnf(16,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(cnf,[status(esa)],[just17]) ).

cnf(l35,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(instantiation,[status(thm)],[16]) ).

fof(just5,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

cnf(4,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(cnf,[status(esa)],[just5]) ).

cnf(l73,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(instantiation,[status(thm)],[4]) ).

fof(just7,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

cnf(6,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(cnf,[status(esa)],[just7]) ).

cnf(l80,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(instantiation,[status(thm)],[6]) ).

fof(just9,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

cnf(8,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(cnf,[status(esa)],[just9]) ).

cnf(l81,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(instantiation,[status(thm)],[8]) ).

fof(just19,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

cnf(18,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(cnf,[status(esa)],[just19]) ).

cnf(l40,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(instantiation,[status(thm)],[18]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l23,l2,l26,l56,l57,l24,l58,l62,l60,l25,l27,l71,l32,l59,l70,l39,l38,l28,l78,l83,l79,l72,l30,l42,l82,l74,l36,l29,l33,l35,l73,l80,l81,l40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : CSR061+1 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n029.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  : 300
% 0.13/0.34  % DateTime : Sun Jul 20 07:07:04 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 4
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 6
% 0.13/0.35  % launching worker at depth: 7
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 9
% 0.13/0.35  % launching worker at depth: 10
% 0.13/0.36  % launching worker at depth: 11
% 0.20/0.42  % launching worker at depth: 12
% 17.29/2.54  % SZS status Theorem for theBenchmark
% 17.29/2.54  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------