%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU090+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:44:28 PM UTC 2025
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 45 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 13 ~; 10 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 26 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_finset_1,plain,
! [A,B,C,D] :
( ( finite(A)
& finite(B)
& finite(C)
& finite(D) )
=> finite(cartesian_product4(A,B,C,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_finset_1) ).
fof(t21_finset_1_negated,plain,
~ ! [A,B,C,D] :
( ( finite(A)
& finite(B)
& finite(C)
& finite(D) )
=> finite(cartesian_product4(A,B,C,D)) ),
inference(negate_conjecture,[status(cth)],[t21_finset_1]) ).
cnf(137,plain,
finite(sK30),
inference(cnf,[status(esa)],[t21_finset_1_negated]) ).
cnf(l0,plain,
finite(sK30),
inference(instantiation,[status(thm)],[137]) ).
fof(fc14_finset_1,plain,
! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(cartesian_product2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
cnf(27,plain,
( ~ finite(X0)
| ~ finite(X1)
| finite(cartesian_product2(X0,X1)) ),
inference(cnf,[status(esa)],[fc14_finset_1]) ).
cnf(l1,plain,
( ~ finite(cartesian_product3(sK27,sK28,sK29))
| ~ finite(sK30)
| finite(cartesian_product2(cartesian_product3(sK27,sK28,sK29),sK30)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(138,plain,
~ finite(cartesian_product4(sK27,sK28,sK29,sK30)),
inference(cnf,[status(esa)],[t21_finset_1_negated]) ).
cnf(l26,plain,
~ finite(cartesian_product4(sK27,sK28,sK29,sK30)),
inference(instantiation,[status(thm)],[138]) ).
fof(d4_zfmisc_1,plain,
! [A,B,C,D] : cartesian_product4(A,B,C,D) = cartesian_product2(cartesian_product3(A,B,C),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_zfmisc_1) ).
cnf(22,plain,
cartesian_product4(X0,X1,X2,X3) = cartesian_product2(cartesian_product3(X0,X1,X2),X3),
inference(cnf,[status(esa)],[d4_zfmisc_1]) ).
cnf(l40,plain,
cartesian_product4(sK27,sK28,sK29,sK30) = cartesian_product2(cartesian_product3(sK27,sK28,sK29),sK30),
inference(instantiation,[status(thm)],[22]) ).
fof(fc15_finset_1,plain,
! [A,B,C] :
( ( finite(A)
& finite(B)
& finite(C) )
=> finite(cartesian_product3(A,B,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_finset_1) ).
cnf(28,plain,
( ~ finite(X0)
| ~ finite(X1)
| ~ finite(X2)
| finite(cartesian_product3(X0,X1,X2)) ),
inference(cnf,[status(esa)],[fc15_finset_1]) ).
cnf(l16,plain,
( ~ finite(sK27)
| ~ finite(sK28)
| ~ finite(sK29)
| finite(cartesian_product3(sK27,sK28,sK29)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(134,plain,
finite(sK27),
inference(cnf,[status(esa)],[t21_finset_1_negated]) ).
cnf(l27,plain,
finite(sK27),
inference(instantiation,[status(thm)],[134]) ).
cnf(136,plain,
finite(sK29),
inference(cnf,[status(esa)],[t21_finset_1_negated]) ).
cnf(l34,plain,
finite(sK29),
inference(instantiation,[status(thm)],[136]) ).
cnf(135,plain,
finite(sK28),
inference(cnf,[status(esa)],[t21_finset_1_negated]) ).
cnf(l19,plain,
finite(sK28),
inference(instantiation,[status(thm)],[135]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l26,l40,l16,l27,l34,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU090+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:26:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------