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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR026+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 11:18:32 AM UTC 2025

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  17 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  21   ~;  18   |;   3   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query26,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query26) ).

fof(query26_negated,plain,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(negate_conjecture,[status(cth)],[query26]) ).

cnf(56,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf,[status(esa)],[query26_negated]) ).

cnf(l0,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(instantiation,[status(thm)],[56]) ).

fof(just48,plain,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

cnf(47,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf,[status(esa)],[just48]) ).

cnf(l1,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2701_mt) ),
    inference(instantiation,[status(thm)],[47]) ).

fof(just6,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

cnf(5,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf,[status(esa)],[just6]) ).

cnf(l2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(instantiation,[status(thm)],[5]) ).

fof(just9,plain,
    ! [INS] :
      ( ( mtvisible(c_tptp_member2701_mt)
        & runningshorts(INS) )
     => tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

cnf(8,plain,
    ( ~ mtvisible(c_tptp_member2701_mt)
    | ~ runningshorts(X0)
    | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(cnf,[status(esa)],[just9]) ).

cnf(l3,plain,
    ( ~ mtvisible(c_tptp_member2701_mt)
    | ~ runningshorts(c_tptprunningshorts)
    | tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(instantiation,[status(thm)],[8]) ).

fof(just11,plain,
    ( mtvisible(c_cyclistsmt)
   => runningshorts(c_tptprunningshorts) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

cnf(10,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(cnf,[status(esa)],[just11]) ).

cnf(l25,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l26,plain,
    ( ~ genlmt(c_tptp_member3993_mt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_member3993_mt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[47]) ).

cnf(57,plain,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf,[status(esa)],[query26_negated]) ).

cnf(l5,plain,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(instantiation,[status(thm)],[57]) ).

fof(just53,plain,
    ! [X,Y,Z] :
      ( ( genlmt(X,Y)
        & genlmt(Y,Z) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

cnf(52,plain,
    ( ~ genlmt(X0,X1)
    | ~ genlmt(X1,X2)
    | genlmt(X0,X2) ),
    inference(cnf,[status(esa)],[just53]) ).

cnf(l27,plain,
    ( ~ genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)
    | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | genlmt(c_tptp_member3993_mt,c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[52]) ).

fof(just7,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

cnf(6,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf,[status(esa)],[just7]) ).

cnf(l31,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(instantiation,[status(thm)],[6]) ).

fof(just5,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

cnf(4,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf,[status(esa)],[just5]) ).

cnf(l32,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l28,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member3993_mt) ),
    inference(instantiation,[status(thm)],[47]) ).

fof(just8,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

cnf(7,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf,[status(esa)],[just8]) ).

cnf(l29,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(instantiation,[status(thm)],[7]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l25,l26,l5,l27,l31,l32,l28,l29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : CSR026+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Jul 20 06:32:04 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 4
% 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: 8
% 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
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------