%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU083+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 : n008.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 13.23s 7.29s
% Output : CNFRefutation 13.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc9_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('set$uunion2'(X0,X1)) ) ).
fof(t14_finset_1,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('set$uunion2'(X0,X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('set$uunion2'(X0,X1)) ),
inference(negate_conjecture,[status(cth)],[t14_finset_1]) ).
cnf(c58,plain,
( finite('set$uunion2'(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc9_finset_1]) ).
cnf(c145,plain,
finite(sK81),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c146,plain,
finite(sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c147,plain,
~ finite('set$uunion2'(sK81,sK82)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ finite(sK81)
| ~ finite(sK82) ),
inference(resolution,[status(thm)],[c58,c147]) ).
cnf(d1,plain,
~ finite(sK82),
inference(resolution,[status(thm)],[c145,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c146,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU083+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
% 0.08/5.57 % Computer : n008.cluster.edu
% 0.08/5.57 % Model : x86_64 x86_64
% 0.08/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.57 % Memory : 8046.5625MB
% 0.08/5.57 % OS : Linux 6.8.0-71-generic
% 0.08/5.57 % CPULimit : 300
% 0.08/5.57 % WCLimit : 300
% 0.08/5.57 % DateTime : Sat Sep 26 08:35:48 UTC 2026
% 0.08/5.58 % CPUTime :
% 0.08/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.23/7.29 % SZS status Theorem for theBenchmark.p
% 13.23/7.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------