%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET786+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:33:13 AM UTC 2026
% Result : Theorem 8.87s 1.59s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 2 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm25,conjecture,
~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ ? [X2] :
( element(X2,X1)
& element(X1,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ ? [X2] :
( element(X2,X1)
& element(X1,X2) ) ),
inference(negate_conjecture,[status(cth)],[thm25]) ).
cnf(c0,plain,
( ~ element(X1,X0)
| ~ element(X0,X1)
| ~ element(X0,sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( element(X0,sK3(X0))
| element(X0,sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( element(sK3(X0),X0)
| element(X0,sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ element(sK3(sK0),X0)
| ~ element(X0,sK3(sK0))
| element(sK0,sK0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( element(sK0,sK0)
| element(sK0,sK0)
| ~ element(sK0,sK3(sK0)) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( element(sK0,sK0)
| element(sK0,sK0) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ element(sK0,X0)
| ~ element(X0,sK0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
~ element(sK0,sK0),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET786+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 08:18:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.87/1.59 % SZS status Theorem for theBenchmark.p
% 8.87/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------