%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR037+3 : 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 : n016.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 07:03:51 AM UTC 2026
% Result : Theorem 56.48s 7.60s
% Output : CNFRefutation 56.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 5 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_902,axiom,
( mtvisible('c$utptpgeo$umember7$umt')
=> geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul3$ux15$uy24') ) ).
fof(ax2_1656,axiom,
( mtvisible('c$utptpgeo$umember7$umt')
=> geographicalsubregions('c$ugeoregion$ul3$ux15$uy24','c$ugeoregion$ul4$ux45$uy72') ) ).
fof(ax2_7881,axiom,
! [X0,X1,X2] :
( ( geographicalsubregions(X1,X2)
& geographicalsubregions(X0,X1) )
=> geographicalsubregions(X0,X2) ) ).
fof(query137,conjecture,
( mtvisible('c$utptpgeo$umember7$umt')
=> geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul4$ux45$uy72') ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptpgeo$umember7$umt')
=> geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul4$ux45$uy72') ),
inference(negate_conjecture,[status(cth)],[query137]) ).
cnf(c12,plain,
( geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul3$ux15$uy24')
| ~ mtvisible('c$utptpgeo$umember7$umt') ),
inference(clausification,[status(esa)],[ax2_902]) ).
cnf(c28,plain,
( geographicalsubregions('c$ugeoregion$ul3$ux15$uy24','c$ugeoregion$ul4$ux45$uy72')
| ~ mtvisible('c$utptpgeo$umember7$umt') ),
inference(clausification,[status(esa)],[ax2_1656]) ).
cnf(c70,plain,
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(clausification,[status(esa)],[ax2_7881]) ).
cnf(c83,plain,
mtvisible('c$utptpgeo$umember7$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c84,plain,
~ geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul4$ux45$uy72'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
geographicalsubregions('c$ugeoregion$ul3$ux15$uy24','c$ugeoregion$ul4$ux45$uy72'),
inference(resolution,[status(thm)],[c83,c28]) ).
cnf(d1,plain,
geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul3$ux15$uy24'),
inference(resolution,[status(thm)],[c83,c12]) ).
cnf(d2,plain,
( geographicalsubregions('c$ugeoregion$ul2$ux5$uy8',X0)
| ~ geographicalsubregions('c$ugeoregion$ul3$ux15$uy24',X0) ),
inference(resolution,[status(thm)],[c70,d1]) ).
cnf(d3,plain,
geographicalsubregions('c$ugeoregion$ul2$ux5$uy8','c$ugeoregion$ul4$ux45$uy72'),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c84,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 00:12:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.48/7.60 % SZS status Theorem for theBenchmark.p
% 56.48/7.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------