%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR057+3 : 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 : n014.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 07:04:04 AM UTC 2026
% Result : Theorem 29.52s 8.37s
% Output : CNFRefutation 29.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 9 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 1 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_1111,axiom,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt') ).
fof(ax2_1120,axiom,
( mtvisible('c$uworldgeographymt')
=> 'geolevel$u4'('c$ugeoregion$ul4$ux75$uy75') ) ).
fof(ax2_1229,axiom,
genlmt('c$utptpgeo$umember8$umt','c$utptpgeo$uspindleheadmt') ).
fof(ax2_1724,axiom,
! [X0] :
( 'geolevel$u4'(X0)
=> geographicalregion(X0) ) ).
fof(ax2_1935,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ) ).
fof(ax2_7882,axiom,
! [X0] :
( geographicalregion(X0)
=> geographicalsubregions(X0,X0) ) ).
fof(ax2_7997,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query157,conjecture,
? [X0] :
( mtvisible('c$utptpgeo$umember8$umt')
=> inregion(X0,'c$ugeoregion$ul4$ux75$uy75') ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptpgeo$umember8$umt')
=> inregion(X0,'c$ugeoregion$ul4$ux75$uy75') ),
inference(negate_conjecture,[status(cth)],[query157]) ).
cnf(c8,plain,
genlmt('c$utptpgeo$uspindleheadmt','c$uworldgeographymt'),
inference(clausification,[status(esa)],[ax2_1111]) ).
cnf(c9,plain,
( 'geolevel$u4'('c$ugeoregion$ul4$ux75$uy75')
| ~ mtvisible('c$uworldgeographymt') ),
inference(clausification,[status(esa)],[ax2_1120]) ).
cnf(c12,plain,
genlmt('c$utptpgeo$umember8$umt','c$utptpgeo$uspindleheadmt'),
inference(clausification,[status(esa)],[ax2_1229]) ).
cnf(c18,plain,
( geographicalregion(X0)
| ~ 'geolevel$u4'(X0) ),
inference(clausification,[status(esa)],[ax2_1724]) ).
cnf(c21,plain,
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[ax2_1935]) ).
cnf(c67,plain,
( geographicalsubregions(X0,X0)
| ~ geographicalregion(X0) ),
inference(clausification,[status(esa)],[ax2_7882]) ).
cnf(c71,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax2_7997]) ).
cnf(c73,plain,
mtvisible('c$utptpgeo$umember8$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
~ inregion(X0,'c$ugeoregion$ul4$ux75$uy75'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptpgeo$uspindleheadmt')
| mtvisible('c$uworldgeographymt') ),
inference(resolution,[status(thm)],[c71,c8]) ).
cnf(d1,plain,
( ~ mtvisible('c$utptpgeo$umember8$umt')
| mtvisible('c$utptpgeo$uspindleheadmt') ),
inference(resolution,[status(thm)],[c71,c12]) ).
cnf(d2,plain,
mtvisible('c$utptpgeo$uspindleheadmt'),
inference(resolution,[status(thm)],[c73,d1]) ).
cnf(d3,plain,
mtvisible('c$uworldgeographymt'),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'geolevel$u4'('c$ugeoregion$ul4$ux75$uy75'),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
geographicalregion('c$ugeoregion$ul4$ux75$uy75'),
inference(resolution,[status(thm)],[d4,c18]) ).
cnf(d6,plain,
( inregion(X0,X0)
| ~ geographicalregion(X0) ),
inference(resolution,[status(thm)],[c67,c21]) ).
cnf(d7,plain,
~ geographicalregion('c$ugeoregion$ul4$ux75$uy75'),
inference(resolution,[status(thm)],[d6,c74]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR057+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:24:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.52/8.37 % SZS status Theorem for theBenchmark.p
% 29.52/8.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------