%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU090+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 20.91s 3.12s
% Output : CNFRefutation 20.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 11 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_zfmisc_1,axiom,
! [X0,X1,X2,X3] : 'cartesian$uproduct4'(X0,X1,X2,X3) = 'cartesian$uproduct2'('cartesian$uproduct3'(X0,X1,X2),X3) ).
fof(fc14_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct2'(X0,X1)) ) ).
fof(fc15_finset_1,axiom,
! [X0,X1,X2] :
( ( finite(X2)
& finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct3'(X0,X1,X2)) ) ).
fof(t21_finset_1,conjecture,
! [X0,X1,X2,X3] :
( ( finite(X3)
& finite(X2)
& finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct4'(X0,X1,X2,X3)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( finite(X3)
& finite(X2)
& finite(X1)
& finite(X0) )
=> finite('cartesian$uproduct4'(X0,X1,X2,X3)) ),
inference(negate_conjecture,[status(cth)],[t21_finset_1]) ).
cnf(c26,plain,
'cartesian$uproduct4'(X0,X1,X2,X3) = 'cartesian$uproduct2'('cartesian$uproduct3'(X0,X1,X2),X3),
inference(clausification,[status(esa)],[d4_zfmisc_1]) ).
cnf(c31,plain,
( finite('cartesian$uproduct2'(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc14_finset_1]) ).
cnf(c32,plain,
( finite('cartesian$uproduct3'(X0,X1,X2))
| ~ finite(X2)
| ~ finite(X1)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc15_finset_1]) ).
cnf(c146,plain,
finite(sK92),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c147,plain,
finite(sK93),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c148,plain,
finite(sK94),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c149,plain,
finite(sK95),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c150,plain,
~ finite('cartesian$uproduct4'(sK92,sK93,sK94,sK95)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ finite('cartesian$uproduct3'(X0,X1,X2))
| ~ finite(X3)
| finite('cartesian$uproduct4'(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c26,c31]) ).
cnf(d1,plain,
( ~ finite('cartesian$uproduct3'(sK92,sK93,sK94))
| ~ finite(sK95) ),
inference(resolution,[status(thm)],[d0,c150]) ).
cnf(d2,plain,
~ finite('cartesian$uproduct3'(sK92,sK93,sK94)),
inference(resolution,[status(thm)],[c149,d1]) ).
cnf(d3,plain,
( ~ finite(sK94)
| ~ finite(sK92)
| ~ finite(sK93) ),
inference(resolution,[status(thm)],[d2,c32]) ).
cnf(d4,plain,
( ~ finite(sK94)
| ~ finite(sK93) ),
inference(resolution,[status(thm)],[c146,d3]) ).
cnf(d5,plain,
~ finite(sK94),
inference(resolution,[status(thm)],[c147,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c148,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU090+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n006.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sat Sep 26 08:35:26 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.91/3.12 % SZS status Theorem for theBenchmark.p
% 20.91/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------