%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU147+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:44:37 PM UTC 2025
% Result : Theorem 2.12s 0.59s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 62 ( 28 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 25 ~; 28 |; 0 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_zfmisc_1,plain,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(t1_zfmisc_1_negated,plain,
powerset(empty_set) != singleton(empty_set),
inference(negate_conjecture,[status(cth)],[t1_zfmisc_1]) ).
cnf(17,plain,
powerset(empty_set) != singleton(empty_set),
inference(cnf,[status(esa)],[t1_zfmisc_1_negated]) ).
cnf(l0,plain,
powerset(empty_set) != singleton(empty_set),
inference(instantiation,[status(thm)],[17]) ).
fof(t2_tarski,plain,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
cnf(19,plain,
( ~ in(sK5(X0,X1),X0)
| ~ in(sK5(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t2_tarski]) ).
cnf(l1,plain,
( ~ in(sK5(powerset(empty_set),singleton(empty_set)),powerset(empty_set))
| ~ in(sK5(powerset(empty_set),singleton(empty_set)),singleton(empty_set))
| powerset(empty_set) = singleton(empty_set) ),
inference(instantiation,[status(thm)],[19]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(2,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l2,plain,
( singleton(empty_set) != singleton(empty_set)
| sK5(powerset(empty_set),singleton(empty_set)) != empty_set
| in(sK5(powerset(empty_set),singleton(empty_set)),singleton(empty_set)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(d1_zfmisc_1,plain,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(8,plain,
( X0 != powerset(X1)
| ~ subset(X2,X1)
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l3,plain,
( powerset(empty_set) != powerset(empty_set)
| ~ subset(sK5(powerset(empty_set),singleton(empty_set)),empty_set)
| in(sK5(powerset(empty_set),singleton(empty_set)),powerset(empty_set)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(16,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l18,plain,
subset(sK5(powerset(empty_set),singleton(empty_set)),sK5(powerset(empty_set),singleton(empty_set))),
inference(instantiation,[status(thm)],[16]) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l15,plain,
( ~ in(sK5(powerset(empty_set),singleton(empty_set)),singleton(empty_set))
| singleton(empty_set) != singleton(empty_set)
| sK5(powerset(empty_set),singleton(empty_set)) = empty_set ),
inference(instantiation,[status(thm)],[1]) ).
cnf(18,plain,
( in(sK5(X0,X1),X0)
| in(sK5(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[t2_tarski]) ).
cnf(l17,plain,
( in(sK5(powerset(empty_set),singleton(empty_set)),powerset(empty_set))
| in(sK5(powerset(empty_set),singleton(empty_set)),singleton(empty_set))
| powerset(empty_set) = singleton(empty_set) ),
inference(instantiation,[status(thm)],[18]) ).
fof(t3_xboole_1,plain,
! [A] :
( subset(A,empty_set)
=> A = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
cnf(20,plain,
( ~ subset(X0,empty_set)
| X0 = empty_set ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
cnf(l4,plain,
( ~ subset(sK5(powerset(empty_set),singleton(empty_set)),empty_set)
| sK5(powerset(empty_set),singleton(empty_set)) = empty_set ),
inference(instantiation,[status(thm)],[20]) ).
cnf(7,plain,
( ~ in(X0,X1)
| X1 != powerset(X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
cnf(l5,plain,
( ~ in(sK5(powerset(empty_set),singleton(empty_set)),powerset(empty_set))
| powerset(empty_set) != powerset(empty_set)
| subset(sK5(powerset(empty_set),singleton(empty_set)),empty_set) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l24,plain,
( in(sK5(powerset(empty_set),singleton(empty_set)),powerset(empty_set))
| in(sK5(powerset(empty_set),singleton(empty_set)),singleton(empty_set))
| powerset(empty_set) = singleton(empty_set) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l18,l15,l17,l4,l5,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU147+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:36:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.21/0.56 % launching worker at depth: 12
% 2.12/0.59 % SZS status Theorem for theBenchmark
% 2.12/0.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------