%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 07:14:08 AM UTC 2026
% Result : Unsatisfiable 22.61s 3.52s
% Output : CNFRefutation 22.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 41 ( 12 unt; 8 nHn; 31 RR)
% Number of literals : 86 ( 4 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corollary_2_9_67,negated_conjecture,
'part$uof'(sk14,sk15) ).
cnf(corollary_2_9_68,negated_conjecture,
meet(sk16,sk14,sk15) ).
cnf(part_of_defn_1,axiom,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ) ).
cnf(part_of_defn_2,axiom,
( 'part$uof'(X0,X1)
| 'incident$uc'('ax0$usk1'(X0,X1),X0) ) ).
cnf(part_of_defn_3,axiom,
( 'part$uof'(X0,X1)
| ~ 'incident$uc'('ax0$usk1'(X0,X1),X1) ) ).
cnf(sum_defn_4,axiom,
( 'incident$uc'(X3,X2)
| 'incident$uc'(X3,X1)
| ~ 'incident$uc'(X3,X0)
| X0 != sum(X1,X2) ) ).
cnf(sum_defn_5,axiom,
( 'incident$uc'(X3,X0)
| ~ 'incident$uc'(X3,X1)
| X0 != sum(X1,X2) ) ).
cnf(inner_point_defn_21,axiom,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(inner_point_defn_22,axiom,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(meet_defn_26,axiom,
( 'end$upoint'(X3,X1)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ) ).
cnf(c3_37,axiom,
'inner$upoint'('ax0$usk8'(X0),X0) ).
cnf(c0,plain,
'part$uof'(sk14,sk15),
inference(clausification,[status(esa)],[corollary_2_9_67]) ).
cnf(c1,plain,
meet(sk16,sk14,sk15),
inference(clausification,[status(esa)],[corollary_2_9_68]) ).
cnf(c2,plain,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn_1]) ).
cnf(c3,plain,
( 'part$uof'(X0,X1)
| 'incident$uc'('ax0$usk1'(X0,X1),X0) ),
inference(clausification,[status(esa)],[part_of_defn_2]) ).
cnf(c4,plain,
( 'part$uof'(X0,X1)
| ~ 'incident$uc'('ax0$usk1'(X0,X1),X1) ),
inference(clausification,[status(esa)],[part_of_defn_3]) ).
cnf(c5,plain,
( 'incident$uc'(X3,X2)
| 'incident$uc'(X3,X1)
| ~ 'incident$uc'(X3,X0)
| X0 != sum(X1,X2) ),
inference(clausification,[status(esa)],[sum_defn_4]) ).
cnf(c6,plain,
( 'incident$uc'(X3,X0)
| ~ 'incident$uc'(X3,X1)
| X0 != sum(X1,X2) ),
inference(clausification,[status(esa)],[sum_defn_5]) ).
cnf(c22,plain,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_21]) ).
cnf(c23,plain,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_22]) ).
cnf(c27,plain,
( 'end$upoint'(X3,X1)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[meet_defn_26]) ).
cnf(c38,plain,
'inner$upoint'('ax0$usk8'(X0),X0),
inference(clausification,[status(esa)],[c3_37]) ).
cnf(d0,plain,
( 'end$upoint'(X0,sk14)
| ~ 'incident$uc'(X0,sk15)
| ~ 'incident$uc'(X0,sk14) ),
inference(resolution,[status(thm)],[c27,c1]) ).
cnf(d1,plain,
( ~ 'incident$uc'(X0,sum(X2,X1))
| 'incident$uc'(X0,X2)
| 'incident$uc'(X0,X1) ),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(d2,plain,
( 'part$uof'(X0,X0)
| 'part$uof'(X0,X0) ),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d3,plain,
'incident$uc'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c22,c38]) ).
cnf(d4,plain,
( 'incident$uc'('ax0$usk8'(X0),X1)
| ~ 'part$uof'(X0,X1) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
( 'incident$uc'('ax0$usk8'(X0),X2)
| ~ 'part$uof'(X1,X2)
| ~ 'part$uof'(X0,X1) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( 'incident$uc'('ax0$usk8'(sk14),X0)
| ~ 'part$uof'(sk15,X0) ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
( 'incident$uc'('ax0$usk8'(sk14),X1)
| ~ 'part$uof'(X0,X1)
| ~ 'part$uof'(sk15,X0) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( ~ 'incident$uc'(X0,X1)
| 'incident$uc'(X0,sum(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c6]) ).
cnf(d9,plain,
( 'part$uof'(X0,sum(X1,X2))
| ~ 'incident$uc'('ax0$usk1'(X0,sum(X1,X2)),X1) ),
inference(resolution,[status(thm)],[d8,c4]) ).
cnf(d10,plain,
( 'part$uof'(X0,sum(X0,X1))
| 'part$uof'(X0,sum(X0,X1)) ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
( 'incident$uc'('ax0$usk8'(sk14),X1)
| ~ 'part$uof'(sum(sk15,X0),X1) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
'incident$uc'('ax0$usk8'(sk14),sum(sk15,X0)),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( 'incident$uc'('ax0$usk8'(sk14),X0)
| 'incident$uc'('ax0$usk8'(sk14),sk15) ),
inference(resolution,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
'incident$uc'('ax0$usk8'(sk14),sk15),
inference(factoring,[status(thm)],[d13]) ).
cnf(d15,plain,
( 'end$upoint'('ax0$usk8'(sk14),sk14)
| ~ 'incident$uc'('ax0$usk8'(sk14),sk14) ),
inference(resolution,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
~ 'end$upoint'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c23,c38]) ).
cnf(d17,plain,
~ 'incident$uc'('ax0$usk8'(sk14),sk14),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d3,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n019.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Fri Sep 25 12:41:50 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.61/3.52 % SZS status Unsatisfiable for theBenchmark.p
% 22.61/3.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------