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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ001+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 : Fri Jul 25 01:24:23 PM UTC 2025

% Result   : Theorem 81.13s 10.59s
% Output   : CNFRefutation 81.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  18 unt;   0 def)
%            Number of atoms       :   70 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  28   ~;  21   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel55,plain,
    killed(agatha,agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55) ).

fof(pel55_negated,plain,
    ~ killed(agatha,agatha),
    inference(negate_conjecture,[status(cth)],[pel55]) ).

cnf(14,plain,
    ~ killed(agatha,agatha),
    inference(cnf,[status(esa)],[pel55_negated]) ).

cnf(l0,plain,
    ~ killed(agatha,agatha),
    inference(instantiation,[status(thm)],[14]) ).

fof(pel55_1,plain,
    ? [X] :
      ( lives(X)
      & killed(X,agatha) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_1) ).

cnf(1,plain,
    killed(sK1,agatha),
    inference(cnf,[status(esa)],[pel55_1]) ).

cnf(l4,plain,
    killed(sK1,agatha),
    inference(instantiation,[status(thm)],[1]) ).

fof(pel55_3,plain,
    ! [X] :
      ( lives(X)
     => ( X = agatha
        | X = butler
        | X = charles ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_3) ).

cnf(5,plain,
    ( ~ lives(X0)
    | X0 = butler
    | X0 = agatha
    | X0 = charles ),
    inference(cnf,[status(esa)],[pel55_3]) ).

cnf(l2,plain,
    ( ~ lives(sK1)
    | sK1 = butler
    | sK1 = agatha
    | sK1 = charles ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(0,plain,
    lives(sK1),
    inference(cnf,[status(esa)],[pel55_1]) ).

cnf(l7,plain,
    lives(sK1),
    inference(instantiation,[status(thm)],[0]) ).

fof(pel55_4,plain,
    ! [X,Y] :
      ( killed(X,Y)
     => hates(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_4) ).

cnf(6,plain,
    ( ~ killed(X0,X1)
    | hates(X0,X1) ),
    inference(cnf,[status(esa)],[pel55_4]) ).

cnf(l47,plain,
    ( ~ killed(charles,agatha)
    | hates(charles,agatha) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l41,plain,
    killed(sK1,agatha),
    inference(instantiation,[status(thm)],[1]) ).

fof(pel55_6,plain,
    ! [X] :
      ( hates(agatha,X)
     => ~ hates(charles,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_6) ).

cnf(8,plain,
    ( ~ hates(agatha,X0)
    | ~ hates(charles,X0) ),
    inference(cnf,[status(esa)],[pel55_6]) ).

cnf(l58,plain,
    ( ~ hates(agatha,agatha)
    | ~ hates(charles,agatha) ),
    inference(instantiation,[status(thm)],[8]) ).

fof(pel55_7,plain,
    ! [X] :
      ( X != butler
     => hates(agatha,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_7) ).

cnf(9,plain,
    ( X0 = butler
    | hates(agatha,X0) ),
    inference(cnf,[status(esa)],[pel55_7]) ).

cnf(l692,plain,
    ( sK2(butler) = butler
    | hates(agatha,sK2(butler)) ),
    inference(instantiation,[status(thm)],[9]) ).

fof(pel55_9,plain,
    ! [X] :
      ( hates(agatha,X)
     => hates(butler,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_9) ).

cnf(11,plain,
    ( ~ hates(agatha,X0)
    | hates(butler,X0) ),
    inference(cnf,[status(esa)],[pel55_9]) ).

cnf(l700,plain,
    ( ~ hates(agatha,sK2(butler))
    | hates(butler,sK2(butler)) ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l67,plain,
    ( agatha = butler
    | hates(agatha,agatha) ),
    inference(instantiation,[status(thm)],[9]) ).

fof(pel55_10,plain,
    ! [X] :
    ? [Y] : ~ hates(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_10) ).

cnf(12,plain,
    ~ hates(X0,sK2(X0)),
    inference(cnf,[status(esa)],[pel55_10]) ).

cnf(l702,plain,
    ~ hates(butler,sK2(butler)),
    inference(instantiation,[status(thm)],[12]) ).

fof(pel55_8,plain,
    ! [X] :
      ( ~ richer(X,agatha)
     => hates(butler,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_8) ).

cnf(10,plain,
    ( hates(butler,X0)
    | richer(X0,agatha) ),
    inference(cnf,[status(esa)],[pel55_8]) ).

cnf(l255,plain,
    ( hates(butler,sK2(butler))
    | richer(sK2(butler),agatha) ),
    inference(instantiation,[status(thm)],[10]) ).

fof(pel55_11,plain,
    agatha != butler,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_11) ).

cnf(13,plain,
    agatha != butler,
    inference(cnf,[status(esa)],[pel55_11]) ).

cnf(l74,plain,
    agatha != butler,
    inference(instantiation,[status(thm)],[13]) ).

fof(pel55_5,plain,
    ! [X,Y] :
      ( killed(X,Y)
     => ~ richer(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_5) ).

cnf(7,plain,
    ( ~ killed(X0,X1)
    | ~ richer(X0,X1) ),
    inference(cnf,[status(esa)],[pel55_5]) ).

cnf(l693,plain,
    ( ~ killed(sK1,agatha)
    | ~ richer(sK1,agatha) ),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l375,plain,
    ~ hates(butler,sK2(butler)),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l694,plain,
    killed(sK1,agatha),
    inference(instantiation,[status(thm)],[1]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l4,l2,l7,l47,l41,l58,l692,l700,l67,l702,l255,l74,l693,l375,l694]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PUZ001+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n026.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 Jul 21 15:46:34 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 1
% 0.12/0.33  % launching worker at depth: 6
% 0.12/0.33  % launching worker at depth: 2
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 7
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 9
% 0.12/0.34  % launching worker at depth: 10
% 0.12/0.35  % launching worker at depth: 11
% 0.19/0.40  % launching worker at depth: 12
% 2.87/0.69  % launching worker at depth: 13
% 29.95/4.08  % launching worker at depth: 14
% 81.13/10.59  % SZS status Theorem for theBenchmark
% 81.13/10.59  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------