%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU083+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 03:44:27 PM UTC 2025
% Result : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 4 |; 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(t14_finset_1,plain,
! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finset_1) ).
fof(t14_finset_1_negated,plain,
~ ! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
inference(negate_conjecture,[status(cth)],[t14_finset_1]) ).
cnf(140,plain,
finite(sK27),
inference(cnf,[status(esa)],[t14_finset_1_negated]) ).
cnf(l0,plain,
finite(sK27),
inference(instantiation,[status(thm)],[140]) ).
fof(l3_finset_1,plain,
! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_finset_1) ).
cnf(143,plain,
( ~ finite(X0)
| ~ finite(X1)
| finite(set_union2(X0,X1)) ),
inference(cnf,[status(esa)],[l3_finset_1]) ).
cnf(l1,plain,
( ~ finite(sK27)
| ~ finite(sK28)
| finite(set_union2(sK27,sK28)) ),
inference(instantiation,[status(thm)],[143]) ).
cnf(142,plain,
~ finite(set_union2(sK27,sK28)),
inference(cnf,[status(esa)],[t14_finset_1_negated]) ).
cnf(l3,plain,
~ finite(set_union2(sK27,sK28)),
inference(instantiation,[status(thm)],[142]) ).
cnf(141,plain,
finite(sK28),
inference(cnf,[status(esa)],[t14_finset_1_negated]) ).
cnf(l4,plain,
finite(sK28),
inference(instantiation,[status(thm)],[141]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU083+1 : TPTP v9.0.0. Released v3.2.0.
% 0.05/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 21 23:25:49 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % launching worker at depth: 2
% 0.16/0.31 % launching worker at depth: 1
% 0.16/0.31 % launching worker at depth: 3
% 0.16/0.31 % launching worker at depth: 4
% 0.16/0.31 % launching worker at depth: 5
% 0.16/0.31 % launching worker at depth: 6
% 0.16/0.31 % launching worker at depth: 7
% 0.16/0.31 % launching worker at depth: 8
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------