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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 08:35:23 AM UTC 2026

% Result   : Theorem 0.22s 0.50s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  24 unt;   0 def)
%            Number of atoms       :  119 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  103 (  46   ~;  41   |;   8   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   40 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just5,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('theBenchmark.p',just5) ).

fof(just8,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('theBenchmark.p',just8) ).

fof(just9,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('theBenchmark.p',just9) ).

fof(just10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('theBenchmark.p',just10) ).

fof(just11,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('theBenchmark.p',just11) ).

fof(just12,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('theBenchmark.p',just12) ).

fof(just41,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('theBenchmark.p',just41) ).

fof(just49,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',just49) ).

fof(just54,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('theBenchmark.p',just54) ).

fof(query74,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => ( geolevel_3(c_georegion_l3_x17_y24)
      & inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ) ),
    file('theBenchmark.p',query74) ).

fof(f_5_1,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just5]) ).

fof(f_5_2,plain,
    ! [U_1,U_0] :
      ( inregion(U_0,U_1)
      | ~ geographicalsubregions(U_1,U_0) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

cnf(f_5_3,plain,
    ( inregion(U_0,U_1)
    | ~ geographicalsubregions(U_1,U_0) ),
    inference(clausify,[status(thm)],[f_5_2]) ).

fof(f_8_1,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(fof_nnf,[status(thm)],[just8]) ).

cnf(f_8_2,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(clausify,[status(thm)],[f_8_1]) ).

fof(f_9_1,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(fof_nnf,[status(thm)],[just9]) ).

cnf(f_9_2,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(clausify,[status(thm)],[f_9_1]) ).

fof(f_10_1,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(fof_nnf,[status(thm)],[just10]) ).

cnf(f_10_2,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(clausify,[status(thm)],[f_10_1]) ).

fof(f_11_1,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(fof_nnf,[status(thm)],[just11]) ).

cnf(f_11_2,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(clausify,[status(thm)],[f_11_1]) ).

fof(f_12_1,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(fof_nnf,[status(thm)],[just12]) ).

cnf(f_12_2,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(clausify,[status(thm)],[f_12_1]) ).

fof(f_41_1,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(fof_nnf,[status(thm)],[just41]) ).

fof(f_41_2,plain,
    ! [U_61,U_60,U_59] :
      ( inregion(U_61,U_59)
      | ~ inregion(U_60,U_59)
      | ~ inregion(U_61,U_60) ),
    inference(variable_rename,[status(thm)],[f_41_1]) ).

cnf(f_41_3,plain,
    ( inregion(U_61,U_59)
    | ~ inregion(U_60,U_59)
    | ~ inregion(U_61,U_60) ),
    inference(clausify,[status(thm)],[f_41_2]) ).

fof(f_49_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[just49]) ).

fof(f_49_2,plain,
    ! [U_75,U_74] :
      ( mtvisible(U_74)
      | ~ genlmt(U_75,U_74)
      | ~ mtvisible(U_75) ),
    inference(variable_rename,[status(thm)],[f_49_1]) ).

cnf(f_49_3,plain,
    ( mtvisible(U_74)
    | ~ genlmt(U_75,U_74)
    | ~ mtvisible(U_75) ),
    inference(clausify,[status(thm)],[f_49_2]) ).

fof(f_54_1,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(fof_nnf,[status(thm)],[just54]) ).

fof(f_54_2,plain,
    ! [U_86,U_85,U_84] :
      ( genlmt(U_86,U_84)
      | ~ genlmt(U_85,U_84)
      | ~ genlmt(U_86,U_85) ),
    inference(variable_rename,[status(thm)],[f_54_1]) ).

cnf(f_54_3,plain,
    ( genlmt(U_86,U_84)
    | ~ genlmt(U_85,U_84)
    | ~ genlmt(U_86,U_85) ),
    inference(clausify,[status(thm)],[f_54_2]) ).

fof(f_58_1,negated_conjecture,
    ( ~ ( geolevel_3(c_georegion_l3_x17_y24)
        & inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) )
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(negate,[status(cth)],[query74]) ).

fof(f_58_2,negated_conjecture,
    ( ( ~ geolevel_3(c_georegion_l3_x17_y24)
      | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) )
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(fof_nnf,[status(thm)],[f_58_1]) ).

fof(f_58_3,negated_conjecture,
    ( ( ~ geolevel_3(c_georegion_l3_x17_y24)
      | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) )
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(definitional_conversion,[status(esa)],[f_58_2]) ).

cnf(f_58_4,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(clausify,[status(thm)],[f_58_3]) ).

cnf(f_58_5,negated_conjecture,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(clausify,[status(thm)],[f_58_3]) ).

cnf(t1,plain,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(start,[status(thm),parent(0:0)],[f_58_5]) ).

cnf(t2,plain,
    ( ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(extension,[status(thm),parent(t1:1)],[f_41_3]) ).

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

cnf(t4,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    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_58_4]) ).

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

cnf(t8,plain,
    ( ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ),
    inference(extension,[status(thm),parent(t2:3)],[f_5_3]) ).

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

cnf(t10,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(extension,[status(thm),parent(t8:2)],[f_11_2]) ).

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

cnf(t12,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(extension,[status(thm),parent(t10:2)],[f_58_4]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(extension,[status(thm),parent(t1:2)],[f_10_2]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:2]) ).

cnf(t16,plain,
    ( ~ genlmt(c_tptpgeo_member7_mt,c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_member7_mt)
    | mtvisible(c_worldgeographymt) ),
    inference(extension,[status(thm),parent(t14:2)],[f_49_3]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).

cnf(t18,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(extension,[status(thm),parent(t16:2)],[f_58_4]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).

cnf(t20,plain,
    ( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
    | ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
    | genlmt(c_tptpgeo_member7_mt,c_worldgeographymt) ),
    inference(extension,[status(thm),parent(t16:3)],[f_54_3]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).

cnf(t22,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(extension,[status(thm),parent(t20:2)],[f_9_2]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(extension,[status(thm),parent(t20:3)],[f_8_2]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR074+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 16:19:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.22/0.50  % SZS status Theorem for theBenchmark
% 0.22/0.50  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------