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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR037+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n012.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 04:14:16 PM UTC 2026

% Result   : Theorem 16.65s 9.80s
% Output   : CNFRefutation 16.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  12   ~;   9   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query137,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query137) ).

fof(ax2_1656,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1656) ).

fof(ax2_7881,axiom,
    ! [X15,X16,X17] :
      ( ( geographicalsubregions(X15,X16)
        & geographicalsubregions(X16,X17) )
     => geographicalsubregions(X15,X17) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7881) ).

fof(ax2_902,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_902) ).

fof(c_0_4,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(assume_negation,[status(cth)],[query137]) ).

fof(c_0_5,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[ax2_1656]) ).

fof(c_0_6,negated_conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X11761,X11762,X11763] :
      ( ~ geographicalsubregions(X11761,X11762)
      | ~ geographicalsubregions(X11762,X11763)
      | geographicalsubregions(X11761,X11763) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7881])]) ).

cnf(c_0_8,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(fof_nnf,[status(thm)],[ax2_902]) ).

cnf(c_0_11,plain,
    ( geographicalsubregions(X1,X3)
    | ~ geographicalsubregions(X1,X2)
    | ~ geographicalsubregions(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_13,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( geographicalsubregions(X1,c_georegion_l4_x45_y72)
    | ~ geographicalsubregions(X1,c_georegion_l3_x15_y24) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : CSR037+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.07  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.08/0.25  % Computer : n012.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit   : 300
% 0.08/0.25  % WCLimit    : 300
% 0.08/0.25  % DateTime   : Mon May  4 16:28:45 EDT 2026
% 0.08/0.25  % CPUTime    : 
% 0.08/0.26  % start to proof: theBenchmark
% 16.65/9.80  % Version  : CSE_E---1.7
% 16.65/9.80  % Problem  : theBenchmark.p
% 16.65/9.80  % SZS status Theorem for theBenchmark.p
% 16.65/9.80  % SZS output start CNFRefutation
% See solution above
% 16.65/9.82  % Total time : 8.998s
%------------------------------------------------------------------------------