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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR029+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n019.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 : Fri Sep 25 01:05:16 PM UTC 2026

% Result   : Theorem 8.53s 1.64s
% Output   : Proof 8.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   67 (  30 unt;   0 def)
%            Number of atoms       :  124 (  22 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  106 (  49   ~;  39   |;   9   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-4 aty)
%            Number of variables   :   62 (   0 sgn  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

fof(f53_nnf,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f53]) ).

fof(f53_sk,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(skolemisation,[status(esa)],[f53_nnf]) ).

cnf(c53,plain,
    ( genlmt(X0,X2)
    | ~ genlmt(X1,X2)
    | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f53_sk]) ).

cnf(hi52,axiom,
    ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c53]) ).

fof(f8,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(nnf_transformation,[status(thm)],[f8]) ).

cnf(c8,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f8_nnf]) ).

cnf(hi8,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

fof(f7,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f7_nnf,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(nnf_transformation,[status(thm)],[f7]) ).

cnf(c7,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(esa)],[f7_nnf]) ).

cnf(hi7,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) = true,
    inference(equality_encoding,[status(esa)],[c7]) ).

cnf(h12,plain,
    genlmt(c_tptpgeo_member3_mt,c_worldgeographymt) = true,
    inference(hyper_resolution,[status(thm)],[hi52,hi8,hi7]) ).

fof(f48,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

fof(f48_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f48]) ).

fof(f48_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f48_nnf]) ).

cnf(c48,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(hi47,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c48]) ).

fof(f57,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( geolevel_3(c_georegion_l3_x4_y13)
      & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query29) ).

fof(f57_neg,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( geolevel_3(c_georegion_l3_x4_y13)
        & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    inference(negated_conjecture,[status(cth)],[f57]) ).

fof(f57_nnf,plain,
    ( ( ~ geolevel_3(c_georegion_l3_x4_y13)
      | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
    & mtvisible(c_tptpgeo_member3_mt) ),
    inference(nnf_transformation,[status(thm)],[f57_neg]) ).

fof(f57_sk,plain,
    ( ( ~ geolevel_3(c_georegion_l3_x4_y13)
      | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
    & mtvisible(c_tptpgeo_member3_mt) ),
    inference(skolemisation,[status(esa)],[f57_nnf]) ).

cnf(c57,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

cnf(hi56,negated_conjecture,
    mtvisible(c_tptpgeo_member3_mt) = true,
    inference(equality_encoding,[status(esa)],[c57]) ).

cnf(h30,plain,
    mtvisible(c_worldgeographymt) = true,
    inference(hyper_resolution,[status(thm)],[hi47,hi56,h12]) ).

fof(f9,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f9_nnf,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(hi9,axiom,
    ifeq(mtvisible(c_worldgeographymt),true,geolevel_3(c_georegion_l3_x4_y13),true) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

cnf(h39,plain,
    geolevel_3(c_georegion_l3_x4_y13) = true,
    inference(hyper_resolution,[status(thm)],[hi9,h30]) ).

fof(f10,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f10_nnf,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(hi10,axiom,
    ifeq(mtvisible(c_tptpgeo_member3_mt),true,geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),true) = true,
    inference(equality_encoding,[status(esa)],[c10]) ).

cnf(h16,plain,
    geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) = true,
    inference(hyper_resolution,[status(thm)],[hi10,hi56]) ).

fof(f4,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

fof(f4_nnf,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ( inregion(X1,X0)
    | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(hi4,axiom,
    ifeq(geographicalsubregions(X0,X1),true,inregion(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c4]) ).

cnf(h37,plain,
    inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) = true,
    inference(hyper_resolution,[status(thm)],[hi4,h16]) ).

fof(f11,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    ifeq(mtvisible(c_tptpgeo_member3_mt),true,inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),true) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h15,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) = true,
    inference(hyper_resolution,[status(thm)],[hi11,hi56]) ).

fof(f40,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(f40_nnf,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ( inregion(X0,X2)
    | ~ inregion(X1,X2)
    | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(hi39,axiom,
    ifeq(inregion(X0,X1),true,ifeq(inregion(X1,X2),true,inregion(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c40]) ).

cnf(h45,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) = true,
    inference(hyper_resolution,[status(thm)],[hi39,h15,h37]) ).

cnf(c58,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

cnf(hi58,negated_conjecture,
    ifeq(inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),true,ifeq(geolevel_3(c_georegion_l3_x4_y13),true,false,true),true) = true,
    inference(equality_encoding,[status(esa)],[c58]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi58,h45,h39]) ).

cnf(t484,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f12,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f12_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c12,c58]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t484]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35  % Computer : n019.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 : Fri Sep 25 08:12:54 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.53/1.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.53/1.64  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------