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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWW314+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 05:04:10 PM UTC 2025

% Result   : Theorem 0.58s 0.74s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_5,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(conj_5_negated,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(negate_conjecture,[status(cth)],[conj_5]) ).

cnf(7427,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(cnf,[status(esa)],[conj_5_negated]) ).

cnf(l0,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(instantiation,[status(thm)],[7427]) ).

fof(fact_cut,plain,
    ! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
       => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).

cnf(3,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X3) ),
    inference(cnf,[status(esa)],[fact_cut]) ).

cnf(l1,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts)
    | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ),
    inference(instantiation,[status(thm)],[3]) ).

fof(conj_0,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(7422,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf,[status(esa)],[conj_0]) ).

cnf(l3,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(instantiation,[status(thm)],[7422]) ).

fof(conj_4,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

cnf(7426,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(cnf,[status(esa)],[conj_4]) ).

cnf(l2,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(instantiation,[status(thm)],[7426]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW314+1 : TPTP v9.0.0. Released v5.2.0.
% 0.04/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 22 13:20:49 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.58/0.73  % launching worker at depth: 3
% 0.58/0.73  % launching worker at depth: 7
% 0.58/0.73  % launching worker at depth: 4
% 0.58/0.73  % launching worker at depth: 5
% 0.58/0.73  % launching worker at depth: 2
% 0.58/0.73  % launching worker at depth: 6
% 0.58/0.73  % launching worker at depth: 1
% 0.58/0.73  % launching worker at depth: 8
% 0.58/0.73  % launching worker at depth: 9
% 0.58/0.74  % SZS status Theorem for theBenchmark
% 0.58/0.74  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------