%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR033+1 : 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 : n003.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 07:03:48 AM UTC 2026
% Result : Theorem 11.77s 7.09s
% Output : CNFRefutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 20 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 31 ~; 28 |; 5 &)
% ( 0 <=>; 11 =>; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 10 !; 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$uspindlecollectormt','c$utptpgeo$umember2$umt') ).
fof(just10,axiom,
genlmt('c$utptpgeo$umember8$umt','c$utptpgeo$uspindleheadmt') ).
fof(just11,axiom,
genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember8$umt') ).
fof(just12,axiom,
( mtvisible('c$uworldgeographymt')
=> 'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0') ) ).
fof(just13,axiom,
( mtvisible('c$utptpgeo$umember2$umt')
=> geographicalsubregions('c$ugeoregion$ul1$ux2$uy0','c$ugeoregion$ul2$ux8$uy2') ) ).
fof(just14,axiom,
( mtvisible('c$utptpgeo$umember2$umt')
=> geographicalsubregions('c$ugeoregion$ul2$ux8$uy2','c$ugeoregion$ul3$ux25$uy7') ) ).
fof(just15,axiom,
( mtvisible('c$utptpgeo$umember2$umt')
=> geographicalsubregions('c$ugeoregion$ul3$ux25$uy7','c$ugeoregion$ul4$ux76$uy23') ) ).
fof(just16,axiom,
( mtvisible('c$utptpgeo$umember2$umt')
=> inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul4$ux76$uy23') ) ).
fof(just35,axiom,
! [X0,X1,X2] :
( ( geographicalsubregions(X1,X2)
& geographicalsubregions(X0,X1) )
=> geographicalsubregions(X0,X2) ) ).
fof(just45,axiom,
! [X0,X1,X2] :
( ( inregion(X1,X2)
& inregion(X0,X1) )
=> inregion(X0,X2) ) ).
fof(just53,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query33,conjecture,
( mtvisible('c$utptpgeo$uspindlecollectormt')
=> ( 'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0')
& inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul1$ux2$uy0') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptpgeo$uspindlecollectormt')
=> ( 'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0')
& inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul1$ux2$uy0') ) ),
inference(negate_conjecture,[status(cth)],[query33]) ).
cnf(c4,plain,
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[just5]) ).
cnf(c7,plain,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt'),
inference(clausification,[status(esa)],[just8]) ).
cnf(c8,plain,
genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember2$umt'),
inference(clausification,[status(esa)],[just9]) ).
cnf(c9,plain,
genlmt('c$utptpgeo$umember8$umt','c$utptpgeo$uspindleheadmt'),
inference(clausification,[status(esa)],[just10]) ).
cnf(c10,plain,
genlmt('c$utptpgeo$uspindlecollectormt','c$utptpgeo$umember8$umt'),
inference(clausification,[status(esa)],[just11]) ).
cnf(c11,plain,
( 'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0')
| ~ mtvisible('c$uworldgeographymt') ),
inference(clausification,[status(esa)],[just12]) ).
cnf(c12,plain,
( geographicalsubregions('c$ugeoregion$ul1$ux2$uy0','c$ugeoregion$ul2$ux8$uy2')
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(clausification,[status(esa)],[just13]) ).
cnf(c13,plain,
( geographicalsubregions('c$ugeoregion$ul2$ux8$uy2','c$ugeoregion$ul3$ux25$uy7')
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(clausification,[status(esa)],[just14]) ).
cnf(c14,plain,
( geographicalsubregions('c$ugeoregion$ul3$ux25$uy7','c$ugeoregion$ul4$ux76$uy23')
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(clausification,[status(esa)],[just15]) ).
cnf(c15,plain,
( inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul4$ux76$uy23')
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(clausification,[status(esa)],[just16]) ).
cnf(c34,plain,
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[just35]) ).
cnf(c44,plain,
( inregion(X0,X2)
| ~ inregion(X1,X2)
| ~ inregion(X0,X1) ),
inference(clausification,[status(esa)],[just45]) ).
cnf(c52,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[just53]) ).
cnf(c61,plain,
mtvisible('c$utptpgeo$uspindlecollectormt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
( ~ 'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0')
| ~ inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul1$ux2$uy0') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptpgeo$umember2$umt')
| inregion('c$ugeolocation$ux76$uy23',X0)
| ~ inregion('c$ugeoregion$ul4$ux76$uy23',X0) ),
inference(resolution,[status(thm)],[c44,c15]) ).
cnf(d1,plain,
( ~ mtvisible('c$utptpgeo$uspindlecollectormt')
| mtvisible('c$utptpgeo$umember2$umt') ),
inference(resolution,[status(thm)],[c52,c8]) ).
cnf(d2,plain,
mtvisible('c$utptpgeo$umember2$umt'),
inference(resolution,[status(thm)],[c61,d1]) ).
cnf(d3,plain,
( inregion('c$ugeolocation$ux76$uy23',X0)
| ~ inregion('c$ugeoregion$ul4$ux76$uy23',X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( inregion('c$ugeoregion$ul4$ux76$uy23','c$ugeoregion$ul3$ux25$uy7')
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(resolution,[status(thm)],[c14,c4]) ).
cnf(d5,plain,
( inregion('c$ugeoregion$ul4$ux76$uy23',X0)
| ~ inregion('c$ugeoregion$ul3$ux25$uy7',X0)
| ~ mtvisible('c$utptpgeo$umember2$umt') ),
inference(resolution,[status(thm)],[d4,c44]) ).
cnf(d6,plain,
( inregion('c$ugeoregion$ul4$ux76$uy23',X0)
| ~ inregion('c$ugeoregion$ul3$ux25$uy7',X0) ),
inference(resolution,[status(thm)],[d2,d5]) ).
cnf(d7,plain,
( ~ mtvisible('c$utptpgeo$umember2$umt')
| geographicalsubregions('c$ugeoregion$ul1$ux2$uy0',X0)
| ~ geographicalsubregions('c$ugeoregion$ul2$ux8$uy2',X0) ),
inference(resolution,[status(thm)],[c34,c12]) ).
cnf(d8,plain,
( ~ mtvisible('c$utptpgeo$umember2$umt')
| ~ mtvisible('c$utptpgeo$umember2$umt')
| geographicalsubregions('c$ugeoregion$ul1$ux2$uy0','c$ugeoregion$ul3$ux25$uy7') ),
inference(resolution,[status(thm)],[d7,c13]) ).
cnf(d9,plain,
geographicalsubregions('c$ugeoregion$ul1$ux2$uy0','c$ugeoregion$ul3$ux25$uy7'),
inference(resolution,[status(thm)],[d2,d8]) ).
cnf(d10,plain,
inregion('c$ugeoregion$ul3$ux25$uy7','c$ugeoregion$ul1$ux2$uy0'),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
inregion('c$ugeoregion$ul4$ux76$uy23','c$ugeoregion$ul1$ux2$uy0'),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul1$ux2$uy0'),
inference(resolution,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
( ~ mtvisible('c$utptpgeo$uspindleheadmt')
| mtvisible('c$uworldgeographymt') ),
inference(resolution,[status(thm)],[c52,c7]) ).
cnf(d14,plain,
( ~ mtvisible('c$utptpgeo$umember8$umt')
| mtvisible('c$utptpgeo$uspindleheadmt') ),
inference(resolution,[status(thm)],[c52,c9]) ).
cnf(d15,plain,
( ~ mtvisible('c$utptpgeo$uspindlecollectormt')
| mtvisible('c$utptpgeo$umember8$umt') ),
inference(resolution,[status(thm)],[c52,c10]) ).
cnf(d16,plain,
mtvisible('c$utptpgeo$umember8$umt'),
inference(resolution,[status(thm)],[c61,d15]) ).
cnf(d17,plain,
mtvisible('c$utptpgeo$uspindleheadmt'),
inference(resolution,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
mtvisible('c$uworldgeographymt'),
inference(resolution,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
'geolevel$u1'('c$ugeoregion$ul1$ux2$uy0'),
inference(resolution,[status(thm)],[d18,c11]) ).
cnf(d20,plain,
~ inregion('c$ugeolocation$ux76$uy23','c$ugeoregion$ul1$ux2$uy0'),
inference(resolution,[status(thm)],[d19,c62]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n003.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sun Sep 27 00:05:16 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.77/7.09 % SZS status Theorem for theBenchmark.p
% 11.77/7.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------