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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR031+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 : n025.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 11:18:35 AM UTC 2025

% Result   : Theorem 0.14s 0.42s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  12   ~;   6   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   1 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query31,plain,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query31) ).

fof(query31_negated,plain,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negate_conjecture,[status(cth)],[query31]) ).

cnf(55,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf,[status(esa)],[query31_negated]) ).

cnf(l0,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(instantiation,[status(thm)],[55]) ).

fof(just35,plain,
    ! [X,Y] :
      ( disjointwith(X,Y)
     => disjointwith(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

cnf(34,plain,
    ( ~ disjointwith(X0,X1)
    | disjointwith(X1,X0) ),
    inference(cnf,[status(esa)],[just35]) ).

cnf(l1,plain,
    ( ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)
    | disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398) ),
    inference(instantiation,[status(thm)],[34]) ).

fof(just33,plain,
    ! [ARG1,INS] :
      ( disjointwith(ARG1,INS)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

cnf(32,plain,
    ( ~ disjointwith(X0,X1)
    | collection(X1) ),
    inference(cnf,[status(esa)],[just33]) ).

cnf(l2,plain,
    ( ~ disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398)
    | collection(c_tptptptpcol_16_8398) ),
    inference(instantiation,[status(thm)],[32]) ).

fof(just4,plain,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

cnf(3,plain,
    ( ~ collection(X0)
    | ~ individual(X0) ),
    inference(cnf,[status(esa)],[just4]) ).

cnf(l4,plain,
    ( ~ collection(c_tptptptpcol_16_8398)
    | ~ individual(c_tptptptpcol_16_8398) ),
    inference(instantiation,[status(thm)],[3]) ).

fof(just6,plain,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

cnf(5,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf,[status(esa)],[just6]) ).

cnf(l8,plain,
    individual(c_tptptptpcol_16_8398),
    inference(instantiation,[status(thm)],[5]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem  : CSR031+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.20  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41  % Computer : n025.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8042.1875MB
% 0.14/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sun Jul 20 06:36:49 EDT 2025
% 0.14/0.41  % CPUTime  : 
% 0.14/0.42  % launching worker at depth: 4
% 0.14/0.42  % launching worker at depth: 5
% 0.14/0.42  % launching worker at depth: 3
% 0.14/0.42  % launching worker at depth: 1
% 0.14/0.42  % launching worker at depth: 6
% 0.14/0.42  % launching worker at depth: 7
% 0.14/0.42  % launching worker at depth: 2
% 0.14/0.42  % launching worker at depth: 8
% 0.14/0.42  % launching worker at depth: 9
% 0.14/0.42  % SZS status Theorem for theBenchmark
% 0.14/0.42  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------