%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU294+3 : 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 : n024.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 03:45:06 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_finset_1,plain,
! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(t13_finset_1_negated,plain,
~ ! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
inference(negate_conjecture,[status(cth)],[t13_finset_1]) ).
cnf(124,plain,
subset(sK27,sK28),
inference(cnf,[status(esa)],[t13_finset_1_negated]) ).
cnf(l0,plain,
subset(sK27,sK28),
inference(instantiation,[status(thm)],[124]) ).
fof(t3_subset,plain,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(130,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[t3_subset]) ).
cnf(l1,plain,
( ~ subset(sK27,sK28)
| element(sK27,powerset(sK28)) ),
inference(instantiation,[status(thm)],[130]) ).
fof(cc2_finset_1,plain,
! [A] :
( finite(A)
=> ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
cnf(12,plain,
( ~ element(X0,powerset(X1))
| ~ finite(X1)
| finite(X0) ),
inference(cnf,[status(esa)],[cc2_finset_1]) ).
cnf(l3,plain,
( ~ element(sK27,powerset(sK28))
| ~ finite(sK28)
| finite(sK27) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(125,plain,
finite(sK28),
inference(cnf,[status(esa)],[t13_finset_1_negated]) ).
cnf(l11,plain,
finite(sK28),
inference(instantiation,[status(thm)],[125]) ).
cnf(126,plain,
~ finite(sK27),
inference(cnf,[status(esa)],[t13_finset_1_negated]) ).
cnf(l12,plain,
~ finite(sK27),
inference(instantiation,[status(thm)],[126]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l11,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU294+3 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 00:36:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------