%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR059+1 : 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 : n008.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 11.34s 1.83s
% Output : CNFRefutation 11.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 5 |; 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(just1,axiom,
genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember5$umt') ).
fof(just2,axiom,
( mtvisible('c$utptpgeo$umember5$umt')
=> borderson('c$ugeoregion$ul4$ux56$uy47','c$ugeoregion$ul4$ux57$uy47') ) ).
fof(just29,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ) ).
fof(just31,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query59,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)],[query59]) ).
cnf(c0,plain,
genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember5$umt'),
inference(clausification,[status(esa)],[just1]) ).
cnf(c1,plain,
( borderson('c$ugeoregion$ul4$ux56$uy47','c$ugeoregion$ul4$ux57$uy47')
| ~ mtvisible('c$utptpgeo$umember5$umt') ),
inference(clausification,[status(esa)],[just2]) ).
cnf(c28,plain,
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(clausification,[status(esa)],[just29]) ).
cnf(c30,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[just31]) ).
cnf(c39,plain,
mtvisible('c$utptpgeo$uspindlecollectormt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,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$umt') ),
inference(resolution,[status(thm)],[c30,c0]) ).
cnf(d1,plain,
mtvisible('c$utptpgeo$umember5$umt'),
inference(resolution,[status(thm)],[c39,d0]) ).
cnf(d2,plain,
borderson('c$ugeoregion$ul4$ux56$uy47','c$ugeoregion$ul4$ux57$uy47'),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
borderson('c$ugeoregion$ul4$ux57$uy47','c$ugeoregion$ul4$ux56$uy47'),
inference(resolution,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c40,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:27:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.34/1.83 % SZS status Theorem for theBenchmark.p
% 11.34/1.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------