%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET091+1 : TPTP v9.0.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 03:31:30 PM UTC 2025
% Result : Theorem 7.23s 1.23s
% Output : CNFRefutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 31 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 8 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 0-1 aty)
% Number of variables : 11 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_when_not_a_singleton,plain,
! [X,U] :
( ( ~ ? [Y] :
( member(Y,universal_class)
& X = singleton(Y) )
& X = U )
=> member_of(X) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_when_not_a_singleton) ).
fof(member_when_not_a_singleton_negated,plain,
~ ! [X,U] :
( ( ~ ? [Y] :
( member(Y,universal_class)
& X = singleton(Y) )
& X = U )
=> member_of(X) = U ),
inference(negate_conjecture,[status(cth)],[member_when_not_a_singleton]) ).
cnf(93,plain,
( ~ member(X0,universal_class)
| sK10 != singleton(X0) ),
inference(cnf,[status(esa)],[member_when_not_a_singleton_negated]) ).
cnf(l0,plain,
( ~ member(member_of(sK10),universal_class)
| sK10 != singleton(member_of(sK10)) ),
inference(instantiation,[status(thm)],[93]) ).
fof(singleton_self,plain,
! [X] :
( singleton(member_of(X)) = X
| member_of(X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_self) ).
cnf(92,plain,
( singleton(member_of(X0)) = X0
| member_of(X0) = X0 ),
inference(cnf,[status(esa)],[singleton_self]) ).
cnf(l3,plain,
( singleton(member_of(sK10)) = sK10
| member_of(sK10) = sK10 ),
inference(instantiation,[status(thm)],[92]) ).
fof(member_universal_self,plain,
! [X] :
( member(member_of(X),universal_class)
| member_of(X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_universal_self) ).
cnf(91,plain,
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(cnf,[status(esa)],[member_universal_self]) ).
cnf(l1,plain,
( member(member_of(sK10),universal_class)
| member_of(sK10) = sK10 ),
inference(instantiation,[status(thm)],[91]) ).
cnf(94,plain,
sK10 = sK11,
inference(cnf,[status(esa)],[member_when_not_a_singleton_negated]) ).
cnf(l12,plain,
sK10 = sK11,
inference(instantiation,[status(thm)],[94]) ).
cnf(95,plain,
member_of(sK10) != sK11,
inference(cnf,[status(esa)],[member_when_not_a_singleton_negated]) ).
cnf(l16,plain,
member_of(sK10) != sK11,
inference(instantiation,[status(thm)],[95]) ).
cnf(l64,plain,
member_of(sK10) != sK11,
inference(instantiation,[status(thm)],[95]) ).
cnf(l59,plain,
sK10 = sK11,
inference(instantiation,[status(thm)],[94]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l12,l16,l64,l59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET091+1 : TPTP v9.0.0. Bugfixed v7.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 19:48:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 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: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.37 % launching worker at depth: 10
% 2.67/0.67 % launching worker at depth: 11
% 7.23/1.23 % SZS status Theorem for theBenchmark
% 7.23/1.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------