%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR042+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:03:54 AM UTC 2026
% Result : Theorem 82.33s 12.42s
% Output : CNFRefutation 82.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_2459,axiom,
( mtvisible('c$utptpgeo$umember7$umt')
=> borderson('c$ugeoregion$ul4$ux27$uy64','c$ugeoregion$ul4$ux27$uy65') ) ).
fof(ax2_7642,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ) ).
fof(query142,conjecture,
? [X0] :
( mtvisible('c$utptpgeo$umember7$umt')
=> borderson(X0,'c$ugeoregion$ul4$ux27$uy64') ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptpgeo$umember7$umt')
=> borderson(X0,'c$ugeoregion$ul4$ux27$uy64') ),
inference(negate_conjecture,[status(cth)],[query142]) ).
cnf(c4,plain,
( borderson('c$ugeoregion$ul4$ux27$uy64','c$ugeoregion$ul4$ux27$uy65')
| ~ mtvisible('c$utptpgeo$umember7$umt') ),
inference(clausification,[status(esa)],[ax2_2459]) ).
cnf(c11,plain,
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(clausification,[status(esa)],[ax2_7642]) ).
cnf(c25,plain,
mtvisible('c$utptpgeo$umember7$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
~ borderson(X0,'c$ugeoregion$ul4$ux27$uy64'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
borderson('c$ugeoregion$ul4$ux27$uy64','c$ugeoregion$ul4$ux27$uy65'),
inference(resolution,[status(thm)],[c25,c4]) ).
cnf(d1,plain,
borderson('c$ugeoregion$ul4$ux27$uy65','c$ugeoregion$ul4$ux27$uy64'),
inference(resolution,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c26,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR042+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n026.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 27 00:15:12 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.33/12.42 % SZS status Theorem for theBenchmark.p
% 82.33/12.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------