%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO080-1 : 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 : n012.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 07:14:06 AM UTC 2026
% Result : Unsatisfiable 12.05s 7.07s
% Output : CNFRefutation 12.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 3 unt; 3 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_reflexivity,negated_conjecture,
~ 'part$uof'(sk14,sk14) ).
cnf(part_of_defn_2,axiom,
( 'part$uof'(X0,X1)
| 'incident$uc'('ax0$usk1'(X0,X1),X0) ) ).
cnf(part_of_defn_3,axiom,
( 'part$uof'(X0,X1)
| ~ 'incident$uc'('ax0$usk1'(X0,X1),X1) ) ).
cnf(c0,plain,
~ 'part$uof'(sk14,sk14),
inference(clausification,[status(esa)],[prove_reflexivity]) ).
cnf(c2,plain,
( 'part$uof'(X0,X1)
| 'incident$uc'('ax0$usk1'(X0,X1),X0) ),
inference(clausification,[status(esa)],[part_of_defn_2]) ).
cnf(c3,plain,
( 'part$uof'(X0,X1)
| ~ 'incident$uc'('ax0$usk1'(X0,X1),X1) ),
inference(clausification,[status(esa)],[part_of_defn_3]) ).
cnf(d0,plain,
( 'part$uof'(X0,X0)
| 'part$uof'(X0,X0) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/5.53 % Computer : n012.cluster.edu
% 0.04/5.53 % Model : x86_64 x86_64
% 0.04/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.53 % Memory : 8046.5625MB
% 0.04/5.53 % OS : Linux 6.8.0-71-generic
% 0.04/5.53 % CPULimit : 300
% 0.04/5.53 % WCLimit : 300
% 0.04/5.53 % DateTime : Fri Sep 25 12:40:44 UTC 2026
% 0.04/5.53 % CPUTime :
% 0.04/5.53 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.05/7.07 % SZS status Unsatisfiable for theBenchmark.p
% 12.05/7.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------