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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR029+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 : Sun Sep 27 07:03:46 AM UTC 2026

% Result   : Theorem 34.02s 4.57s
% Output   : CNFRefutation 34.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  15   ~;  12   |;   4   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 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   :   15 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_121,axiom,
    ( mtvisible('c$uworldgeographymt')
   => 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13') ) ).

fof(ax1_128,axiom,
    ! [X0,X1] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ) ).

fof(ax1_212,axiom,
    genlmt('c$utptpgeo$umember3$umt','c$utptpgeo$uspindleheadmt') ).

fof(ax1_282,axiom,
    ( mtvisible('c$utptpgeo$umember3$umt')
   => inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39') ) ).

fof(ax1_326,axiom,
    genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt') ).

fof(ax1_337,axiom,
    ( mtvisible('c$utptpgeo$umember3$umt')
   => geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39') ) ).

fof(ax1_933,axiom,
    ! [X0,X1,X2] :
      ( ( inregion(X1,X2)
        & inregion(X0,X1) )
     => inregion(X0,X2) ) ).

fof(ax1_1123,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ) ).

fof(query79,conjecture,
    ( mtvisible('c$utptpgeo$umember3$umt')
   => ( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
      & inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( mtvisible('c$utptpgeo$umember3$umt')
     => ( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
        & inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ) ),
    inference(negate_conjecture,[status(cth)],[query79]) ).

cnf(c1,plain,
    ( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
    | ~ mtvisible('c$uworldgeographymt') ),
    inference(clausification,[status(esa)],[ax1_121]) ).

cnf(c2,plain,
    ( inregion(X1,X0)
    | ~ geographicalsubregions(X0,X1) ),
    inference(clausification,[status(esa)],[ax1_128]) ).

cnf(c3,plain,
    genlmt('c$utptpgeo$umember3$umt','c$utptpgeo$uspindleheadmt'),
    inference(clausification,[status(esa)],[ax1_212]) ).

cnf(c4,plain,
    ( inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39')
    | ~ mtvisible('c$utptpgeo$umember3$umt') ),
    inference(clausification,[status(esa)],[ax1_282]) ).

cnf(c5,plain,
    genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt'),
    inference(clausification,[status(esa)],[ax1_326]) ).

cnf(c6,plain,
    ( geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39')
    | ~ mtvisible('c$utptpgeo$umember3$umt') ),
    inference(clausification,[status(esa)],[ax1_337]) ).

cnf(c11,plain,
    ( inregion(X0,X2)
    | ~ inregion(X1,X2)
    | ~ inregion(X0,X1) ),
    inference(clausification,[status(esa)],[ax1_933]) ).

cnf(c17,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(clausification,[status(esa)],[ax1_1123]) ).

cnf(c19,plain,
    mtvisible('c$utptpgeo$umember3$umt'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c20,plain,
    ( ~ 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
    | ~ inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39'),
    inference(resolution,[status(thm)],[c19,c6]) ).

cnf(d1,plain,
    inregion('c$ugeoregion$ul4$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
    inference(resolution,[status(thm)],[c2,d0]) ).

cnf(d2,plain,
    inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39'),
    inference(resolution,[status(thm)],[c19,c4]) ).

cnf(d3,plain,
    ( inregion('c$ugeolocation$ux14$uy39',X0)
    | ~ inregion('c$ugeoregion$ul4$ux14$uy39',X0) ),
    inference(resolution,[status(thm)],[c11,d2]) ).

cnf(d4,plain,
    inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
    inference(resolution,[status(thm)],[d3,d1]) ).

cnf(d5,plain,
    ( ~ mtvisible('c$utptpgeo$uspindleheadmt')
    | mtvisible('c$uworldgeographymt') ),
    inference(resolution,[status(thm)],[c17,c5]) ).

cnf(d6,plain,
    ( ~ mtvisible('c$utptpgeo$umember3$umt')
    | mtvisible('c$utptpgeo$uspindleheadmt') ),
    inference(resolution,[status(thm)],[c17,c3]) ).

cnf(d7,plain,
    mtvisible('c$utptpgeo$uspindleheadmt'),
    inference(resolution,[status(thm)],[c19,d6]) ).

cnf(d8,plain,
    mtvisible('c$uworldgeographymt'),
    inference(resolution,[status(thm)],[d7,d5]) ).

cnf(d9,plain,
    'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13'),
    inference(resolution,[status(thm)],[d8,c1]) ).

cnf(d10,plain,
    ~ inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
    inference(resolution,[status(thm)],[d9,c20]) ).

cnf(d11,plain,
    $false,
    inference(resolution,[status(thm)],[d10,d4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR029+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37  % Computer : n004.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sun Sep 27 00:00:21 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.02/4.57  % SZS status Theorem for theBenchmark.p
% 34.02/4.57  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------