%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:33:14 AM UTC 2026
% Result : Unsatisfiable 29.88s 4.12s
% Output : CNFRefutation 29.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 12 unt; 7 nHn; 20 RR)
% Number of literals : 45 ( 5 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause119,axiom,
( member(X0,'unionE$usk1'(X0,X1))
| ~ member(X0,union(X1)) ) ).
cnf(clause120,axiom,
( member('unionE$usk1'(X0,X1),X1)
| ~ member(X0,union(X1)) ) ).
cnf(clause112,axiom,
( member(X0,X2)
| X0 = X1
| ~ member(X0,cons(X1,X2)) ) ).
cnf(unI1,axiom,
( member(X0,un(X1,X2))
| ~ member(X0,X1) ) ).
cnf(unI2,axiom,
( member(X0,un(X2,X1))
| ~ member(X0,X1) ) ).
cnf(clause158,axiom,
~ member(X0,eptset) ).
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)) ).
cnf(c0,plain,
( member(X0,'unionE$usk1'(X0,X1))
| ~ member(X0,union(X1)) ),
inference(clausification,[status(esa)],[clause119]) ).
cnf(c1,plain,
( member('unionE$usk1'(X0,X1),X1)
| ~ member(X0,union(X1)) ),
inference(clausification,[status(esa)],[clause120]) ).
cnf(c4,plain,
( member(X1,X2)
| ~ member(X1,cons(X0,X2))
| X0 = X1 ),
inference(clausification,[status(esa)],[clause112]) ).
cnf(c5,plain,
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[unI1]) ).
cnf(c6,plain,
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[unI2]) ).
cnf(c7,plain,
~ member(X0,eptset),
inference(clausification,[status(esa)],[clause158]) ).
cnf(c12,plain,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(clausification,[status(esa)],[un_eq_Union_2_c1]) ).
cnf(c13,plain,
~ member(sk2,un(a,b)),
inference(clausification,[status(esa)],[un_eq_Union_2_c2]) ).
cnf(d0,plain,
member(sk2,'unionE$usk1'(sk2,cons(a,cons(b,eptset)))),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d1,plain,
member(sk2,un(X0,'unionE$usk1'(sk2,cons(a,cons(b,eptset))))),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
member('unionE$usk1'(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d3,plain,
( member('unionE$usk1'(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| a = 'unionE$usk1'(sk2,cons(a,cons(b,eptset))) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( member('unionE$usk1'(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| member(sk2,a) ),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( member('unionE$usk1'(sk2,cons(a,cons(b,eptset))),eptset)
| b = 'unionE$usk1'(sk2,cons(a,cons(b,eptset)))
| member(sk2,a) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( member(sk2,a)
| b = 'unionE$usk1'(sk2,cons(a,cons(b,eptset))) ),
inference(resolution,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
( member(sk2,a)
| member(sk2,un(X0,b)) ),
inference(superposition,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
member(sk2,a),
inference(resolution,[status(thm)],[d7,c13]) ).
cnf(d9,plain,
member(sk2,un(a,X0)),
inference(resolution,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:18:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.88/4.12 % SZS status Unsatisfiable for theBenchmark.p
% 29.88/4.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------