%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET923+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 : n029.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 03:32:59 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 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 7 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t66_zfmisc_1,plain,
! [A,B] :
~ ( set_difference(A,singleton(B)) = empty_set
& A != empty_set
& A != singleton(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_zfmisc_1) ).
fof(t66_zfmisc_1_negated,plain,
~ ! [A,B] :
~ ( set_difference(A,singleton(B)) = empty_set
& A != empty_set
& A != singleton(B) ),
inference(negate_conjecture,[status(cth)],[t66_zfmisc_1]) ).
cnf(9,plain,
set_difference(sK3,singleton(sK4)) = empty_set,
inference(cnf,[status(esa)],[t66_zfmisc_1_negated]) ).
cnf(l0,plain,
set_difference(sK3,singleton(sK4)) = empty_set,
inference(instantiation,[status(thm)],[9]) ).
fof(t37_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(7,plain,
( set_difference(X0,X1) != empty_set
| subset(X0,X1) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
cnf(l1,plain,
( set_difference(sK3,singleton(sK4)) != empty_set
| subset(sK3,singleton(sK4)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(l4_zfmisc_1,plain,
! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(1,plain,
( ~ subset(X0,singleton(X1))
| X0 = empty_set
| X0 = singleton(X1) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
cnf(l2,plain,
( ~ subset(sK3,singleton(sK4))
| sK3 = empty_set
| sK3 = singleton(sK4) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(11,plain,
sK3 != singleton(sK4),
inference(cnf,[status(esa)],[t66_zfmisc_1_negated]) ).
cnf(l4,plain,
sK3 != singleton(sK4),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
sK3 != empty_set,
inference(cnf,[status(esa)],[t66_zfmisc_1_negated]) ).
cnf(l5,plain,
sK3 != empty_set,
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET923+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 : n029.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 23:01:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------