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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWW375+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n027.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 05:04:15 PM UTC 2025

% Result   : Theorem 6.64s 1.48s
% Output   : CNFRefutation 6.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   20 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_4,plain,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(conj_4_negated,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(negate_conjecture,[status(cth)],[conj_4]) ).

cnf(7368,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(cnf,[status(esa)],[conj_4_negated]) ).

cnf(l0,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(instantiation,[status(thm)],[7368]) ).

fof(fact_WT__bodiesD,plain,
    ! [V_b,V_pn] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
       => hBOOL(hAPP(c_Com_OWT,V_b)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).

cnf(1,plain,
    ( ~ c_Com_OWT__bodies
    | hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
    | hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(cnf,[status(esa)],[fact_WT__bodiesD]) ).

cnf(l1,plain,
    ( ~ c_Com_OWT__bodies
    | hAPP(c_Com_Obody,v_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)
    | hBOOL(hAPP(c_Com_OWT,v_y)) ),
    inference(instantiation,[status(thm)],[1]) ).

fof(conj_1,plain,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

cnf(7365,plain,
    c_Com_OWT__bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

cnf(l2,plain,
    c_Com_OWT__bodies,
    inference(instantiation,[status(thm)],[7365]) ).

fof(conj_3,plain,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

cnf(7367,plain,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(cnf,[status(esa)],[conj_3]) ).

cnf(l3,plain,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(instantiation,[status(thm)],[7367]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW375+1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.14  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Jul 22 13:32:19 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.46/0.69  % launching worker at depth: 2
% 0.46/0.69  % launching worker at depth: 4
% 0.46/0.69  % launching worker at depth: 5
% 0.46/0.69  % launching worker at depth: 6
% 0.46/0.69  % launching worker at depth: 7
% 0.46/0.69  % launching worker at depth: 3
% 0.46/0.69  % launching worker at depth: 1
% 0.46/0.70  % launching worker at depth: 8
% 0.46/0.71  % launching worker at depth: 9
% 6.64/1.48  % SZS status Theorem for theBenchmark
% 6.64/1.48  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------