%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:31:31 AM UTC 2026
% Result : Unsatisfiable 15.06s 2.38s
% Output : CNFRefutation 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 7 unt; 7 nHn; 12 RR)
% Number of literals : 35 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_minus_a,hypothesis,
difference(b,a,bDa) ).
cnf(a_intersection_bDa,negated_conjecture,
~ intersection(a,bDa,'aI$ubDa') ).
cnf(prove_aI_bDa_is_empty,negated_conjecture,
~ member(X0,'aI$ubDa') ).
cnf(intersection_axiom1,axiom,
( member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ) ).
cnf(intersection_axiom2,axiom,
( member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ) ).
cnf(not_member_of_difference,axiom,
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ) ).
cnf(c0,plain,
difference(b,a,bDa),
inference(clausification,[status(esa)],[b_minus_a]) ).
cnf(c1,plain,
~ intersection(a,bDa,'aI$ubDa'),
inference(clausification,[status(esa)],[a_intersection_bDa]) ).
cnf(c2,plain,
~ member(X0,'aI$ubDa'),
inference(clausification,[status(esa)],[prove_aI_bDa_is_empty]) ).
cnf(c12,plain,
( member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(clausification,[status(esa)],[intersection_axiom1]) ).
cnf(c13,plain,
( member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(clausification,[status(esa)],[intersection_axiom2]) ).
cnf(c16,plain,
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[not_member_of_difference]) ).
cnf(d0,plain,
( member(h(X0,X1,'aI$ubDa'),X0)
| intersection(X0,X1,'aI$ubDa') ),
inference(resolution,[status(thm)],[c12,c2]) ).
cnf(d1,plain,
( ~ member(X0,a)
| ~ member(X0,bDa) ),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(d2,plain,
( member(h(X0,X1,'aI$ubDa'),X1)
| intersection(X0,X1,'aI$ubDa') ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d3,plain,
( ~ member(h(X0,bDa,'aI$ubDa'),a)
| intersection(X0,bDa,'aI$ubDa') ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( intersection(a,bDa,'aI$ubDa')
| intersection(a,bDa,'aI$ubDa') ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 06:51:58 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.06/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 15.06/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------