%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR074+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 : 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 07:04:15 AM UTC 2026
% Result : Theorem 10.63s 1.91s
% Output : CNFRefutation 10.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 41 ( 17 ~; 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(just5,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ) ).
fof(just8,axiom,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt') ).
fof(just9,axiom,
genlmt('c$utptpgeo$umember7$umt','c$utptpgeo$uspindleheadmt') ).
fof(just10,axiom,
( mtvisible('c$uworldgeographymt')
=> 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24') ) ).
fof(just11,axiom,
( mtvisible('c$utptpgeo$umember7$umt')
=> geographicalsubregions('c$ugeoregion$ul3$ux17$uy24','c$ugeoregion$ul4$ux53$uy74') ) ).
fof(just12,axiom,
( mtvisible('c$utptpgeo$umember7$umt')
=> inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul4$ux53$uy74') ) ).
fof(just41,axiom,
! [X0,X1,X2] :
( ( inregion(X1,X2)
& inregion(X0,X1) )
=> inregion(X0,X2) ) ).
fof(just49,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query74,conjecture,
( mtvisible('c$utptpgeo$umember7$umt')
=> ( 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24')
& inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul3$ux17$uy24') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptpgeo$umember7$umt')
=> ( 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24')
& inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul3$ux17$uy24') ) ),
inference(negate_conjecture,[status(cth)],[query74]) ).
cnf(c4,plain,
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[just5]) ).
cnf(c7,plain,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt'),
inference(clausification,[status(esa)],[just8]) ).
cnf(c8,plain,
genlmt('c$utptpgeo$umember7$umt','c$utptpgeo$uspindleheadmt'),
inference(clausification,[status(esa)],[just9]) ).
cnf(c9,plain,
( 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24')
| ~ mtvisible('c$uworldgeographymt') ),
inference(clausification,[status(esa)],[just10]) ).
cnf(c10,plain,
( geographicalsubregions('c$ugeoregion$ul3$ux17$uy24','c$ugeoregion$ul4$ux53$uy74')
| ~ mtvisible('c$utptpgeo$umember7$umt') ),
inference(clausification,[status(esa)],[just11]) ).
cnf(c11,plain,
( inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul4$ux53$uy74')
| ~ mtvisible('c$utptpgeo$umember7$umt') ),
inference(clausification,[status(esa)],[just12]) ).
cnf(c40,plain,
( inregion(X0,X2)
| ~ inregion(X1,X2)
| ~ inregion(X0,X1) ),
inference(clausification,[status(esa)],[just41]) ).
cnf(c48,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[just49]) ).
cnf(c57,plain,
mtvisible('c$utptpgeo$umember7$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
( ~ 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24')
| ~ inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul3$ux17$uy24') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptpgeo$uspindleheadmt')
| mtvisible('c$uworldgeographymt') ),
inference(resolution,[status(thm)],[c48,c7]) ).
cnf(d1,plain,
geographicalsubregions('c$ugeoregion$ul3$ux17$uy24','c$ugeoregion$ul4$ux53$uy74'),
inference(resolution,[status(thm)],[c57,c10]) ).
cnf(d2,plain,
inregion('c$ugeoregion$ul4$ux53$uy74','c$ugeoregion$ul3$ux17$uy24'),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul4$ux53$uy74'),
inference(resolution,[status(thm)],[c57,c11]) ).
cnf(d4,plain,
( inregion('c$ugeolocation$ux53$uy74',X0)
| ~ inregion('c$ugeoregion$ul4$ux53$uy74',X0) ),
inference(resolution,[status(thm)],[c40,d3]) ).
cnf(d5,plain,
inregion('c$ugeolocation$ux53$uy74','c$ugeoregion$ul3$ux17$uy24'),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ 'geolevel$u3'('c$ugeoregion$ul3$ux17$uy24'),
inference(resolution,[status(thm)],[d5,c58]) ).
cnf(d7,plain,
~ mtvisible('c$uworldgeographymt'),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
~ mtvisible('c$utptpgeo$uspindleheadmt'),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ mtvisible('c$utptpgeo$umember7$umt')
| mtvisible('c$utptpgeo$uspindleheadmt') ),
inference(resolution,[status(thm)],[c48,c8]) ).
cnf(d10,plain,
mtvisible('c$utptpgeo$uspindleheadmt'),
inference(resolution,[status(thm)],[c57,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 00:42:13 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.63/1.91 % SZS status Theorem for theBenchmark.p
% 10.63/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------