%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU115+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:44:30 PM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_finsub_1,plain,
finite_subsets(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finsub_1) ).
fof(t28_finsub_1_negated,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(negate_conjecture,[status(cth)],[t28_finsub_1]) ).
cnf(61,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(cnf,[status(esa)],[t28_finsub_1_negated]) ).
cnf(l0,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(instantiation,[status(thm)],[61]) ).
fof(t27_finsub_1,plain,
! [A] :
( finite(A)
=> finite_subsets(A) = powerset(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finsub_1) ).
cnf(62,plain,
( ~ finite(X0)
| finite_subsets(X0) = powerset(X0) ),
inference(cnf,[status(esa)],[t27_finsub_1]) ).
cnf(l2,plain,
( ~ finite(empty_set)
| finite_subsets(empty_set) = powerset(empty_set) ),
inference(instantiation,[status(thm)],[62]) ).
fof(t1_zfmisc_1,plain,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
cnf(63,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf,[status(esa)],[t1_zfmisc_1]) ).
cnf(l3,plain,
powerset(empty_set) = singleton(empty_set),
inference(instantiation,[status(thm)],[63]) ).
fof(cc1_finset_1,plain,
! [A] :
( empty(A)
=> finite(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
cnf(10,plain,
( ~ empty(X0)
| finite(X0) ),
inference(cnf,[status(esa)],[cc1_finset_1]) ).
cnf(l4,plain,
( ~ empty(empty_set)
| finite(empty_set) ),
inference(instantiation,[status(thm)],[10]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(57,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l9,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[57]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l4,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU115+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 : Mon Jul 21 23:30:19 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: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 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 % launching worker at depth: 11
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------