%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU294+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 08:41:34 AM UTC 2026
% Result : Theorem 42.84s 5.99s
% Output : CNFRefutation 42.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 9 ~; 10 |; 2 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_finset_1,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(l71_subset_1,lemma,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ) ).
fof(t13_finset_1,conjecture,
! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
inference(negate_conjecture,[status(cth)],[t13_finset_1]) ).
cnf(c15,plain,
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(clausification,[status(esa)],[cc2_finset_1]) ).
cnf(c272,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c581,plain,
( element(X0,powerset(X1))
| in(sK520(X0,X1),X0) ),
inference(clausification,[status(esa)],[l71_subset_1]) ).
cnf(c582,plain,
( element(X0,powerset(X1))
| ~ in(sK520(X0,X1),X1) ),
inference(clausification,[status(esa)],[l71_subset_1]) ).
cnf(c1152,plain,
subset(sK1215,sK1216),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1153,plain,
finite(sK1216),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1154,plain,
~ finite(sK1215),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,sK1215)
| in(X0,sK1216) ),
inference(resolution,[status(thm)],[c272,c1152]) ).
cnf(d1,plain,
( in(sK520(sK1215,X0),sK1216)
| element(sK1215,powerset(X0)) ),
inference(resolution,[status(thm)],[c581,d0]) ).
cnf(d2,plain,
( element(sK1215,powerset(sK1216))
| element(sK1215,powerset(sK1216)) ),
inference(resolution,[status(thm)],[c582,d1]) ).
cnf(d3,plain,
( ~ finite(sK1216)
| finite(sK1215) ),
inference(resolution,[status(thm)],[d2,c15]) ).
cnf(d4,plain,
finite(sK1215),
inference(resolution,[status(thm)],[c1153,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1154,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 09:07:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.84/5.99 % SZS status Theorem for theBenchmark.p
% 42.84/5.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------