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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR042+4 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n017.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 : Tue May  5 04:14:21 PM UTC 2026

% Result   : Theorem 30.32s 20.75s
% Output   : CNFRefutation 30.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (   1 sgn   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query192,conjecture,
    ? [X2] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X2,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query192) ).

fof(ax3_1923,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_1923) ).

fof(ax3_43084,axiom,
    ! [X16,X17] :
      ( borderson(X16,X17)
     => borderson(X17,X16) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_43084) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X2] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X2,c_georegion_l4_x27_y64) ),
    inference(assume_negation,[status(cth)],[query192]) ).

fof(c_0_4,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    inference(fof_nnf,[status(thm)],[ax3_1923]) ).

fof(c_0_5,negated_conjecture,
    ! [X48115] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(X48115,c_georegion_l4_x27_y64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_6,plain,
    ! [X46620,X46621] :
      ( ~ borderson(X46620,X46621)
      | borderson(X46621,X46620) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_43084])]) ).

cnf(c_0_7,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( borderson(X2,X1)
    | ~ borderson(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_11,negated_conjecture,
    ~ borderson(X1,c_georegion_l4_x27_y64),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR042+4 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n017.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon May  4 16:30:58 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 30.32/20.75  % Version  : CSE_E---1.7
% 30.32/20.75  % Problem  : theBenchmark.p
% 30.32/20.75  % SZS status Theorem for theBenchmark.p
% 30.32/20.75  % SZS output start CNFRefutation
% See solution above
% 30.32/20.78  % Total time : 19.272s
%------------------------------------------------------------------------------