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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR059+3 : 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 : n009.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 07:04:05 AM UTC 2026

% Result   : Theorem 56.84s 9.34s
% Output   : CNFRefutation 56.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (   9   ~;   6   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_489,axiom,
    ( mtvisible('c$utptpgeo$umember5$umt')
   => borderson('c$ugeoregion$ul4$ux56$uy47','c$ugeoregion$ul4$ux57$uy47') ) ).

fof(ax2_2388,axiom,
    genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember5$umt') ).

fof(ax2_7642,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ) ).

fof(ax2_7997,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ) ).

fof(query159,conjecture,
    ( mtvisible('c$utptpgeo$uspindlecollectormt')
   => borderson('c$ugeoregion$ul4$ux57$uy47','c$ugeoregion$ul4$ux56$uy47') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( mtvisible('c$utptpgeo$uspindlecollectormt')
     => borderson('c$ugeoregion$ul4$ux57$uy47','c$ugeoregion$ul4$ux56$uy47') ),
    inference(negate_conjecture,[status(cth)],[query159]) ).

cnf(c2,plain,
    ( borderson('c$ugeoregion$ul4$ux56$uy47','c$ugeoregion$ul4$ux57$uy47')
    | ~ mtvisible('c$utptpgeo$umember5$umt') ),
    inference(clausification,[status(esa)],[ax2_489]) ).

cnf(c8,plain,
    genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember5$umt'),
    inference(clausification,[status(esa)],[ax2_2388]) ).

cnf(c22,plain,
    ( borderson(X1,X0)
    | ~ borderson(X0,X1) ),
    inference(clausification,[status(esa)],[ax2_7642]) ).

cnf(c30,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(clausification,[status(esa)],[ax2_7997]) ).

cnf(c32,plain,
    mtvisible('c$utptpgeo$uspindlecollectormt'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c33,plain,
    ~ borderson('c$ugeoregion$ul4$ux57$uy47','c$ugeoregion$ul4$ux56$uy47'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ mtvisible('c$utptpgeo$uspindlecollectormt')
    | mtvisible('c$utptpgeo$umember5$umt') ),
    inference(resolution,[status(thm)],[c30,c8]) ).

cnf(d1,plain,
    mtvisible('c$utptpgeo$umember5$umt'),
    inference(resolution,[status(thm)],[c32,d0]) ).

cnf(d2,plain,
    ( ~ mtvisible('c$utptpgeo$umember5$umt')
    | borderson('c$ugeoregion$ul4$ux57$uy47','c$ugeoregion$ul4$ux56$uy47') ),
    inference(resolution,[status(thm)],[c22,c2]) ).

cnf(d3,plain,
    ~ mtvisible('c$utptpgeo$umember5$umt'),
    inference(resolution,[status(thm)],[c33,d2]) ).

cnf(d4,plain,
    $false,
    inference(resolution,[status(thm)],[d3,d1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n009.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 27 00:26:45 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.84/9.34  % SZS status Theorem for theBenchmark.p
% 56.84/9.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------