%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR029+4 : 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 : n020.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 07:03:46 AM UTC 2026
% Result : Theorem 112.30s 16.77s
% Output : CNFRefutation 112.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 39 ( 15 ~; 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(ax3_1891,axiom,
genlmt('c$utptpgeo$umember3$umt','c$utptpgeo$uspindleheadmt') ).
fof(ax3_4349,axiom,
( mtvisible('c$utptpgeo$umember3$umt')
=> inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39') ) ).
fof(ax3_7771,axiom,
( mtvisible('c$utptpgeo$umember3$umt')
=> geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39') ) ).
fof(ax3_11398,axiom,
( mtvisible('c$uworldgeographymt')
=> 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13') ) ).
fof(ax3_11699,axiom,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt') ).
fof(ax3_18015,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ) ).
fof(ax3_43403,axiom,
! [X0,X1,X2] :
( ( inregion(X1,X2)
& inregion(X0,X1) )
=> inregion(X0,X2) ) ).
fof(ax3_44208,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query179,conjecture,
( mtvisible('c$utptpgeo$umember3$umt')
=> ( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
& inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptpgeo$umember3$umt')
=> ( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
& inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ) ),
inference(negate_conjecture,[status(cth)],[query179]) ).
cnf(c2,plain,
genlmt('c$utptpgeo$umember3$umt','c$utptpgeo$uspindleheadmt'),
inference(clausification,[status(esa)],[ax3_1891]) ).
cnf(c12,plain,
( inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39')
| ~ mtvisible('c$utptpgeo$umember3$umt') ),
inference(clausification,[status(esa)],[ax3_4349]) ).
cnf(c15,plain,
( geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39')
| ~ mtvisible('c$utptpgeo$umember3$umt') ),
inference(clausification,[status(esa)],[ax3_7771]) ).
cnf(c20,plain,
( 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
| ~ mtvisible('c$uworldgeographymt') ),
inference(clausification,[status(esa)],[ax3_11398]) ).
cnf(c21,plain,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt'),
inference(clausification,[status(esa)],[ax3_11699]) ).
cnf(c26,plain,
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[ax3_18015]) ).
cnf(c42,plain,
( inregion(X0,X2)
| ~ inregion(X1,X2)
| ~ inregion(X0,X1) ),
inference(clausification,[status(esa)],[ax3_43403]) ).
cnf(c53,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax3_44208]) ).
cnf(c55,plain,
mtvisible('c$utptpgeo$umember3$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
( ~ 'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13')
| ~ inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul4$ux14$uy39'),
inference(resolution,[status(thm)],[c55,c12]) ).
cnf(d1,plain,
geographicalsubregions('c$ugeoregion$ul3$ux4$uy13','c$ugeoregion$ul4$ux14$uy39'),
inference(resolution,[status(thm)],[c55,c15]) ).
cnf(d2,plain,
inregion('c$ugeoregion$ul4$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
inference(resolution,[status(thm)],[c26,d1]) ).
cnf(d3,plain,
( ~ inregion(X0,'c$ugeoregion$ul4$ux14$uy39')
| inregion(X0,'c$ugeoregion$ul3$ux4$uy13') ),
inference(resolution,[status(thm)],[c42,d2]) ).
cnf(d4,plain,
inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ mtvisible('c$utptpgeo$uspindleheadmt')
| mtvisible('c$uworldgeographymt') ),
inference(resolution,[status(thm)],[c53,c21]) ).
cnf(d6,plain,
( ~ mtvisible('c$utptpgeo$umember3$umt')
| mtvisible('c$utptpgeo$uspindleheadmt') ),
inference(resolution,[status(thm)],[c53,c2]) ).
cnf(d7,plain,
mtvisible('c$utptpgeo$uspindleheadmt'),
inference(resolution,[status(thm)],[c55,d6]) ).
cnf(d8,plain,
mtvisible('c$uworldgeographymt'),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
'geolevel$u3'('c$ugeoregion$ul3$ux4$uy13'),
inference(resolution,[status(thm)],[d8,c20]) ).
cnf(d10,plain,
~ inregion('c$ugeolocation$ux14$uy39','c$ugeoregion$ul3$ux4$uy13'),
inference(resolution,[status(thm)],[d9,c56]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR029+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n020.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Sun Sep 27 00:01:19 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.30/16.77 % SZS status Theorem for theBenchmark.p
% 112.30/16.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------