%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO082-1 : 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 : n013.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 07:14:07 AM UTC 2026
% Result : Unsatisfiable 40.73s 11.34s
% Output : CNFRefutation 40.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 8 unt; 8 nHn; 17 RR)
% Number of literals : 50 ( 16 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_antisymmetry_67,negated_conjecture,
'part$uof'(sk14,sk15) ).
cnf(part_of_antisymmetry_68,negated_conjecture,
'part$uof'(sk15,sk14) ).
cnf(part_of_antisymmetry_69,negated_conjecture,
sk14 != sk15 ).
cnf(part_of_defn_1,axiom,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ) ).
cnf(c9_45,axiom,
( X1 = X0
| 'incident$uc'('ax0$usk13'(X0,X1),X0)
| 'incident$uc'('ax0$usk13'(X0,X1),X1) ) ).
cnf(c9_48,axiom,
( X1 = X0
| ~ 'incident$uc'('ax0$usk13'(X0,X1),X1)
| ~ 'incident$uc'('ax0$usk13'(X0,X1),X0) ) ).
cnf(c0,plain,
'part$uof'(sk14,sk15),
inference(clausification,[status(esa)],[part_of_antisymmetry_67]) ).
cnf(c1,plain,
'part$uof'(sk15,sk14),
inference(clausification,[status(esa)],[part_of_antisymmetry_68]) ).
cnf(c2,plain,
sk14 != sk15,
inference(clausification,[status(esa)],[part_of_antisymmetry_69]) ).
cnf(c3,plain,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn_1]) ).
cnf(c47,plain,
( X1 = X0
| 'incident$uc'('ax0$usk13'(X0,X1),X0)
| 'incident$uc'('ax0$usk13'(X0,X1),X1) ),
inference(clausification,[status(esa)],[c9_45]) ).
cnf(c50,plain,
( X1 = X0
| ~ 'incident$uc'('ax0$usk13'(X0,X1),X1)
| ~ 'incident$uc'('ax0$usk13'(X0,X1),X0) ),
inference(clausification,[status(esa)],[c9_48]) ).
cnf(d0,plain,
( 'incident$uc'('ax0$usk13'(X1,X0),X2)
| ~ 'part$uof'(X1,X2)
| 'incident$uc'('ax0$usk13'(X1,X0),X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c47,c3]) ).
cnf(d1,plain,
( 'incident$uc'('ax0$usk13'(X1,X0),X0)
| ~ 'part$uof'(X1,X0)
| X0 = X1 ),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
( 'incident$uc'('ax0$usk13'(X1,X0),X2)
| ~ 'part$uof'(X0,X2)
| 'incident$uc'('ax0$usk13'(X1,X0),X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c47,c3]) ).
cnf(d3,plain,
( 'incident$uc'('ax0$usk13'(X1,X0),X1)
| ~ 'part$uof'(X0,X1)
| X0 = X1 ),
inference(factoring,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ 'incident$uc'('ax0$usk13'(X1,X0),X0)
| X0 = X1
| ~ 'part$uof'(X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[d3,c50]) ).
cnf(d5,plain,
( ~ 'part$uof'(X1,X0)
| X0 = X1
| ~ 'part$uof'(X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ 'part$uof'(sk15,sk14)
| sk14 = sk15 ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
sk14 = sk15,
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c2,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Fri Sep 25 12:40:00 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.73/11.34 % SZS status Unsatisfiable for theBenchmark.p
% 40.73/11.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------