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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR059+4 : 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 : n010.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 04:14:36 PM UTC 2026

% Result   : Theorem 29.71s 20.35s
% Output   : CNFRefutation 29.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  12   ~;   8   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query209,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query209) ).

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

fof(ax3_6006,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_6006) ).

fof(ax3_44208,axiom,
    ! [X22,X23] :
      ( ( mtvisible(X22)
        & genlmt(X22,X23) )
     => mtvisible(X23) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_44208) ).

fof(ax3_11126,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_11126) ).

fof(c_0_5,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(assume_negation,[status(cth)],[query209]) ).

fof(c_0_6,plain,
    ! [X46619,X46620] :
      ( ~ borderson(X46619,X46620)
      | borderson(X46620,X46619) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_43084])]) ).

fof(c_0_7,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(fof_nnf,[status(thm)],[ax3_6006]) ).

fof(c_0_8,negated_conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

fof(c_0_9,plain,
    ! [X48099,X48100] :
      ( ~ mtvisible(X48099)
      | ~ genlmt(X48099,X48100)
      | mtvisible(X48100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_44208])]) ).

cnf(c_0_10,plain,
    ( borderson(X2,X1)
    | ~ borderson(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(split_conjunct,[status(thm)],[ax3_11126]) ).

cnf(c_0_15,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    ~ mtvisible(c_tptpgeo_member5_mt),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_17,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR059+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % 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
% 0.16/0.33  % Computer : n010.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 16:38:06 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 29.71/20.35  % Version  : CSE_E---1.7
% 29.71/20.35  % Problem  : theBenchmark.p
% 29.71/20.35  % SZS status Theorem for theBenchmark.p
% 29.71/20.35  % SZS output start CNFRefutation
% See solution above
% 29.71/20.38  % Total time : 18.821s
%------------------------------------------------------------------------------