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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR044+2 : 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 : n017.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 11:18:44 AM UTC 2025

% Result   : Theorem 14.18s 2.12s
% Output   : CNFRefutation 14.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  16 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (  29   ~;  26   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   21 (   0 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query94,plain,
    ? [X] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
        & tptpcol_16_29490(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query94) ).

fof(query94_negated,plain,
    ~ ? [X] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
          & tptpcol_16_29490(X) ) ),
    inference(negate_conjecture,[status(cth)],[query94]) ).

cnf(1132,plain,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
    | ~ tptpcol_16_29490(X0) ),
    inference(cnf,[status(esa)],[query94_negated]) ).

cnf(l0,plain,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(instantiation,[status(thm)],[1132]) ).

fof(ax1_164,plain,
    ! [TERM] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(TERM) )
     => tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('Axioms/CSR002+1.ax',ax1_164) ).

cnf(163,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ executionbyfiringsquad(X0)
    | tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(cnf,[status(esa)],[ax1_164]) ).

cnf(l1,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(instantiation,[status(thm)],[163]) ).

fof(ax1_1123,plain,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('Axioms/CSR002+1.ax',ax1_1123) ).

cnf(1122,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf,[status(esa)],[ax1_1123]) ).

cnf(l2,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[1122]) ).

fof(ax1_783,plain,
    ! [X] :
      ( isa(X,c_tptpcol_16_29490)
     => tptpcol_16_29490(X) ),
    file('Axioms/CSR002+1.ax',ax1_783) ).

cnf(782,plain,
    ( ~ isa(X0,c_tptpcol_16_29490)
    | tptpcol_16_29490(X0) ),
    inference(cnf,[status(esa)],[ax1_783]) ).

cnf(l121,plain,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(instantiation,[status(thm)],[782]) ).

fof(ax1_254,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('Axioms/CSR002+1.ax',ax1_254) ).

cnf(253,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf,[status(esa)],[ax1_254]) ).

cnf(l17,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(instantiation,[status(thm)],[253]) ).

cnf(l4,plain,
    ( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[1122]) ).

fof(ax1_94,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('Axioms/CSR002+1.ax',ax1_94) ).

cnf(93,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(cnf,[status(esa)],[ax1_94]) ).

cnf(l122,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(instantiation,[status(thm)],[93]) ).

fof(ax1_297,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationallexists(PRED,INDEPCOL,DEPCOL) )
     => isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
    file('Axioms/CSR002+1.ax',ax1_297) ).

cnf(296,plain,
    ( ~ isa(X0,X1)
    | ~ relationallexists(X2,X1,X3)
    | isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
    inference(cnf,[status(esa)],[ax1_297]) ).

cnf(l123,plain,
    ( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
    | ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
    inference(instantiation,[status(thm)],[296]) ).

fof(ax1_919,plain,
    ! [X] :
      ( executionbyfiringsquad(X)
     => isa(X,c_executionbyfiringsquad) ),
    file('Axioms/CSR002+1.ax',ax1_919) ).

cnf(918,plain,
    ( ~ executionbyfiringsquad(X0)
    | isa(X0,c_executionbyfiringsquad) ),
    inference(cnf,[status(esa)],[ax1_919]) ).

cnf(l135,plain,
    ( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(instantiation,[status(thm)],[918]) ).

cnf(l136,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(instantiation,[status(thm)],[93]) ).

fof(ax1_165,plain,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('Axioms/CSR002+1.ax',ax1_165) ).

cnf(164,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(cnf,[status(esa)],[ax1_165]) ).

cnf(l129,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(instantiation,[status(thm)],[164]) ).

cnf(1131,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(cnf,[status(esa)],[query94_negated]) ).

cnf(l5,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(instantiation,[status(thm)],[1131]) ).

cnf(l133,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[1122]) ).

cnf(l147,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(instantiation,[status(thm)],[253]) ).

cnf(l155,plain,
    ( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[1122]) ).

cnf(l156,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(instantiation,[status(thm)],[1131]) ).

fof(ax1_243,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('Axioms/CSR002+1.ax',ax1_243) ).

cnf(242,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf,[status(esa)],[ax1_243]) ).

cnf(l158,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(instantiation,[status(thm)],[242]) ).

cnf(l9,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(instantiation,[status(thm)],[242]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l121,l17,l4,l122,l123,l135,l136,l129,l5,l133,l147,l155,l156,l158,l9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : CSR044+2 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Jul 20 06:51:04 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.36  % launching worker at depth: 2
% 0.13/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % launching worker at depth: 4
% 0.13/0.36  % launching worker at depth: 5
% 0.13/0.36  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 1
% 0.13/0.36  % launching worker at depth: 3
% 0.13/0.36  % launching worker at depth: 9
% 0.13/0.36  % launching worker at depth: 10
% 0.13/0.37  % launching worker at depth: 11
% 0.20/0.47  % launching worker at depth: 12
% 5.15/0.99  % launching worker at depth: 13
% 14.18/2.12  % SZS status Theorem for theBenchmark
% 14.18/2.12  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------