%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 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 07:14:14 AM UTC 2026
% Result : Unsatisfiable 15.66s 7.63s
% Output : CNFRefutation 15.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 16 unt; 8 nHn; 28 RR)
% Number of literals : 72 ( 10 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_4_11_133,negated_conjecture,
( X0 = X1
| ~ 'ordered$uby'(sk25,X0,X1) ) ).
cnf(end_point_defn_13,axiom,
( 'incident$uc'(X0,X1)
| ~ 'end$upoint'(X0,X1) ) ).
cnf(inner_point_defn_21,axiom,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(inner_point_defn_22,axiom,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(closed_defn_31,axiom,
( ~ 'end$upoint'(X1,X0)
| ~ closed(X0) ) ).
cnf(closed_defn_32,axiom,
( closed(X0)
| 'end$upoint'('ax0$usk6'(X0),X0) ) ).
cnf(open_defn_33,axiom,
( 'end$upoint'('ax0$usk7'(X0),X0)
| ~ open(X0) ) ).
cnf(c3_37,axiom,
'inner$upoint'('ax0$usk8'(X0),X0) ).
cnf(start_point_defn_8,axiom,
( 'ordered$uby'(X1,X0,X2)
| ~ 'incident$uo'(X2,X1)
| X0 = X2
| ~ 'start$upoint'(X0,X1) ) ).
cnf(o2_19,axiom,
open('ax2$usk3'(X0)) ).
cnf(o2_21,axiom,
( 'incident$uo'(X0,X1)
| ~ 'incident$uc'(X0,'ax2$usk3'(X1)) ) ).
cnf(o4_29,axiom,
'start$upoint'('ax2$usk6'(X0),X0) ).
cnf(c0,plain,
( X0 = X1
| ~ 'ordered$uby'(sk25,X0,X1) ),
inference(clausification,[status(esa)],[theorem_4_11_133]) ).
cnf(c13,plain,
( 'incident$uc'(X0,X1)
| ~ 'end$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[end_point_defn_13]) ).
cnf(c21,plain,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_21]) ).
cnf(c22,plain,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_22]) ).
cnf(c31,plain,
( ~ 'end$upoint'(X1,X0)
| ~ closed(X0) ),
inference(clausification,[status(esa)],[closed_defn_31]) ).
cnf(c32,plain,
( closed(X0)
| 'end$upoint'('ax0$usk6'(X0),X0) ),
inference(clausification,[status(esa)],[closed_defn_32]) ).
cnf(c33,plain,
( 'end$upoint'('ax0$usk7'(X0),X0)
| ~ open(X0) ),
inference(clausification,[status(esa)],[open_defn_33]) ).
cnf(c37,plain,
'inner$upoint'('ax0$usk8'(X0),X0),
inference(clausification,[status(esa)],[c3_37]) ).
cnf(c62,plain,
( 'ordered$uby'(X1,X0,X2)
| ~ 'incident$uo'(X2,X1)
| X0 = X2
| ~ 'start$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[start_point_defn_8]) ).
cnf(c73,plain,
open('ax2$usk3'(X0)),
inference(clausification,[status(esa)],[o2_19]) ).
cnf(c75,plain,
( 'incident$uo'(X0,X1)
| ~ 'incident$uc'(X0,'ax2$usk3'(X1)) ),
inference(clausification,[status(esa)],[o2_21]) ).
cnf(c83,plain,
'start$upoint'('ax2$usk6'(X0),X0),
inference(clausification,[status(esa)],[o4_29]) ).
cnf(d0,plain,
( 'incident$uc'('ax0$usk6'(X0),X0)
| closed(X0) ),
inference(resolution,[status(thm)],[c32,c13]) ).
cnf(d1,plain,
( closed('ax2$usk3'(X0))
| 'incident$uo'('ax0$usk6'('ax2$usk3'(X0)),X0) ),
inference(resolution,[status(thm)],[c75,d0]) ).
cnf(d2,plain,
( ~ closed(X0)
| ~ open(X0) ),
inference(resolution,[status(thm)],[c33,c31]) ).
cnf(d3,plain,
~ closed('ax2$usk3'(X0)),
inference(resolution,[status(thm)],[d2,c73]) ).
cnf(d4,plain,
'incident$uo'('ax0$usk6'('ax2$usk3'(X0)),X0),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( X0 = X1
| ~ 'incident$uo'(X1,sk25)
| ~ 'start$upoint'(X0,sk25)
| X0 = X1 ),
inference(resolution,[status(thm)],[c62,c0]) ).
cnf(d6,plain,
( ~ 'start$upoint'(X0,sk25)
| X0 = 'ax0$usk6'('ax2$usk3'(sk25)) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
'ax2$usk6'(sk25) = 'ax0$usk6'('ax2$usk3'(sk25)),
inference(resolution,[status(thm)],[d6,c83]) ).
cnf(d8,plain,
( closed('ax2$usk3'(sk25))
| 'end$upoint'('ax2$usk6'(sk25),'ax2$usk3'(sk25)) ),
inference(superposition,[status(thm)],[d7,c32]) ).
cnf(d9,plain,
'end$upoint'('ax2$usk6'(sk25),'ax2$usk3'(sk25)),
inference(resolution,[status(thm)],[d3,d8]) ).
cnf(d10,plain,
~ 'end$upoint'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c22,c37]) ).
cnf(d11,plain,
'incident$uc'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c21,c37]) ).
cnf(d12,plain,
'incident$uo'('ax0$usk8'('ax2$usk3'(X0)),X0),
inference(resolution,[status(thm)],[c75,d11]) ).
cnf(d13,plain,
( ~ 'start$upoint'(X0,sk25)
| X0 = 'ax0$usk8'('ax2$usk3'(sk25)) ),
inference(resolution,[status(thm)],[d5,d12]) ).
cnf(d14,plain,
'ax2$usk6'(sk25) = 'ax0$usk8'('ax2$usk3'(sk25)),
inference(resolution,[status(thm)],[d13,c83]) ).
cnf(d15,plain,
~ 'end$upoint'('ax2$usk6'(sk25),'ax2$usk3'(sk25)),
inference(superposition,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 12:50:53 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.66/7.63 % SZS status Unsatisfiable for theBenchmark.p
% 15.66/7.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------