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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:19:15 AM UTC 2026

% Result   : Theorem 0.13s 0.42s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  18   ~;  14   |;   3   &)
%                                         (   0 <=>;   4  =>;   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   :   12 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just12,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('theBenchmark.p',just12) ).

fof(just13,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('theBenchmark.p',just13) ).

fof(just34,axiom,
    ! [X,Y,Z] :
      ( ( geographicalsubregions(Y,Z)
        & geographicalsubregions(X,Y) )
     => geographicalsubregions(X,Z) ),
    file('theBenchmark.p',just34) ).

fof(query37,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('theBenchmark.p',query37) ).

fof(f_12_1,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(fof_nnf,[status(thm)],[just12]) ).

cnf(f_12_2,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(clausify,[status(thm)],[f_12_1]) ).

fof(f_13_1,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(fof_nnf,[status(thm)],[just13]) ).

cnf(f_13_2,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(clausify,[status(thm)],[f_13_1]) ).

fof(f_34_1,plain,
    ! [X,Y,Z] :
      ( geographicalsubregions(X,Z)
      | ~ geographicalsubregions(Y,Z)
      | ~ geographicalsubregions(X,Y) ),
    inference(fof_nnf,[status(thm)],[just34]) ).

fof(f_34_2,plain,
    ! [U_49,U_48,U_47] :
      ( geographicalsubregions(U_49,U_47)
      | ~ geographicalsubregions(U_48,U_47)
      | ~ geographicalsubregions(U_49,U_48) ),
    inference(variable_rename,[status(thm)],[f_34_1]) ).

cnf(f_34_3,plain,
    ( geographicalsubregions(U_49,U_47)
    | ~ geographicalsubregions(U_48,U_47)
    | ~ geographicalsubregions(U_49,U_48) ),
    inference(clausify,[status(thm)],[f_34_2]) ).

fof(f_66_1,negated_conjecture,
    ( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(negate,[status(cth)],[query37]) ).

fof(f_66_2,negated_conjecture,
    ( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(definitional_conversion,[status(esa)],[f_66_1]) ).

cnf(f_66_3,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(clausify,[status(thm)],[f_66_2]) ).

cnf(f_66_4,negated_conjecture,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(clausify,[status(thm)],[f_66_2]) ).

cnf(t1,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(start,[status(thm),parent(0:0)],[f_66_4]) ).

cnf(t2,plain,
    ( ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(extension,[status(thm),parent(t1:1)],[f_34_3]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(extension,[status(thm),parent(t2:2)],[f_12_2]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(extension,[status(thm),parent(t4:2)],[f_66_3]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(extension,[status(thm),parent(t2:3)],[f_13_2]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).

cnf(t10,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(extension,[status(thm),parent(t8:2)],[f_66_3]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n016.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 15:56:06 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.13/0.42  % SZS status Theorem for theBenchmark
% 0.13/0.42  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------