%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU089+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 18.27s 3.13s
% Output : CNFRefutation 18.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 6 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_zfmisc_1,axiom,
! [X0,X1,X2] : 'cartesian$uproduct3'(X0,X1,X2) = 'cartesian$uproduct2'('cartesian$uproduct2'(X0,X1),X2) ).
fof(fc14_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct2'(X0,X1)) ) ).
fof(t20_finset_1,conjecture,
! [X0,X1,X2] :
( ( finite(X2)
& finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct3'(X0,X1,X2)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( finite(X2)
& finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct3'(X0,X1,X2)) ),
inference(negate_conjecture,[status(cth)],[t20_finset_1]) ).
cnf(c26,plain,
'cartesian$uproduct3'(X0,X1,X2) = 'cartesian$uproduct2'('cartesian$uproduct2'(X0,X1),X2),
inference(clausification,[status(esa)],[d3_zfmisc_1]) ).
cnf(c31,plain,
( finite('cartesian$uproduct2'(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc14_finset_1]) ).
cnf(c143,plain,
finite(sK81),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c144,plain,
finite(sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c145,plain,
finite(sK83),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c146,plain,
~ finite('cartesian$uproduct3'(sK81,sK82,sK83)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ finite('cartesian$uproduct2'(X0,X1))
| ~ finite(X2)
| finite('cartesian$uproduct3'(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c26,c31]) ).
cnf(d1,plain,
( ~ finite('cartesian$uproduct2'(sK81,sK82))
| ~ finite(sK83) ),
inference(resolution,[status(thm)],[d0,c146]) ).
cnf(d2,plain,
~ finite('cartesian$uproduct2'(sK81,sK82)),
inference(resolution,[status(thm)],[c145,d1]) ).
cnf(d3,plain,
( ~ finite(sK81)
| ~ finite(sK82) ),
inference(resolution,[status(thm)],[d2,c31]) ).
cnf(d4,plain,
~ finite(sK82),
inference(resolution,[status(thm)],[c143,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c144,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU089+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n006.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 08:35:11 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.27/3.13 % SZS status Theorem for theBenchmark.p
% 18.27/3.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------