%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO086-1 : 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 : n007.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 11.44s 2.34s
% Output : CNFRefutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 3 nHn; 12 RR)
% Number of literals : 17 ( 4 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_2_7_2_67,negated_conjecture,
open(sk14) ).
cnf(theorem_2_7_2_68,negated_conjecture,
'part$uof'(sk15,sk14) ).
cnf(theorem_2_7_2_69,negated_conjecture,
~ open(sk15) ).
cnf(c1_35,axiom,
( open(X0)
| X0 = X1
| ~ 'part$uof'(X0,X1) ) ).
cnf(c0,plain,
open(sk14),
inference(clausification,[status(esa)],[theorem_2_7_2_67]) ).
cnf(c1,plain,
'part$uof'(sk15,sk14),
inference(clausification,[status(esa)],[theorem_2_7_2_68]) ).
cnf(c2,plain,
~ open(sk15),
inference(clausification,[status(esa)],[theorem_2_7_2_69]) ).
cnf(c37,plain,
( open(X0)
| X0 = X1
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[c1_35]) ).
cnf(d0,plain,
( open(sk15)
| sk15 = sk14 ),
inference(resolution,[status(thm)],[c37,c1]) ).
cnf(d1,plain,
sk15 = sk14,
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
~ open(sk14),
inference(demodulation,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c0,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 12:39:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.44/2.34 % SZS status Unsatisfiable for theBenchmark.p
% 11.44/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------