%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU094+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:40:51 AM UTC 2026
% Result : Theorem 13.86s 2.13s
% Output : CNFRefutation 13.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 31 ~; 34 |; 4 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l22_finset_1,axiom,
! [X0] :
( ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) )
=> finite(union(X0)) ) ).
fof(t100_zfmisc_1,axiom,
! [X0] : subset(X0,powerset(union(X0))) ).
fof(t13_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ) ).
fof(t24_finset_1,axiom,
! [X0] :
( finite(X0)
<=> finite(powerset(X0)) ) ).
fof(t92_zfmisc_1,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ) ).
fof(t25_finset_1,conjecture,
! [X0] :
( ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) )
<=> finite(union(X0)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( ! [X1] :
( in(X1,X0)
=> finite(X1) )
& finite(X0) )
<=> finite(union(X0)) ),
inference(negate_conjecture,[status(cth)],[t25_finset_1]) ).
cnf(c45,plain,
( finite(union(X0))
| in(sK20(X0),X0)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[l22_finset_1]) ).
cnf(c46,plain,
( finite(union(X0))
| ~ finite(sK20(X0))
| ~ finite(X0) ),
inference(clausification,[status(esa)],[l22_finset_1]) ).
cnf(c133,plain,
subset(X0,powerset(union(X0))),
inference(clausification,[status(esa)],[t100_zfmisc_1]) ).
cnf(c134,plain,
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t13_finset_1]) ).
cnf(c136,plain,
( finite(powerset(X0))
| ~ finite(X0) ),
inference(clausification,[status(esa)],[t24_finset_1]) ).
cnf(c146,plain,
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t92_zfmisc_1]) ).
cnf(c149,plain,
( finite(union(sK75))
| finite(sK75) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c152,plain,
( finite(union(sK75))
| finite(X0)
| ~ in(X0,sK75) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c153,plain,
( in(sK77,sK75)
| ~ finite(sK75)
| ~ finite(union(sK75)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c154,plain,
( ~ finite(sK77)
| ~ finite(sK75)
| ~ finite(union(sK75)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( finite(union(sK75))
| finite(sK20(sK75))
| finite(union(sK75))
| ~ finite(sK75) ),
inference(resolution,[status(thm)],[c45,c152]) ).
cnf(d1,plain,
( ~ finite(sK75)
| finite(union(sK75))
| finite(union(sK75))
| ~ finite(sK75) ),
inference(resolution,[status(thm)],[c46,d0]) ).
cnf(d2,plain,
( ~ finite(sK75)
| in(sK77,sK75)
| ~ finite(sK75) ),
inference(resolution,[status(thm)],[d1,c153]) ).
cnf(d3,plain,
( ~ finite(union(X1))
| finite(X0)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[c146,c134]) ).
cnf(d4,plain,
( ~ finite(sK75)
| finite(X0)
| ~ in(X0,sK75) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ finite(sK75)
| ~ finite(sK75)
| finite(sK77) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ finite(powerset(union(X0)))
| finite(X0) ),
inference(resolution,[status(thm)],[c134,c133]) ).
cnf(d7,plain,
( ~ finite(union(X0))
| finite(X0) ),
inference(resolution,[status(thm)],[d6,c136]) ).
cnf(d8,plain,
( finite(sK75)
| finite(sK75) ),
inference(resolution,[status(thm)],[d7,c149]) ).
cnf(d9,plain,
finite(sK77),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( ~ finite(sK77)
| ~ finite(sK75)
| ~ finite(sK75) ),
inference(resolution,[status(thm)],[d1,c154]) ).
cnf(d11,plain,
~ finite(sK77),
inference(resolution,[status(thm)],[d8,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU094+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.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 08:35:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.86/2.13 % SZS status Theorem for theBenchmark.p
% 13.86/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------