%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU148+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 : n027.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 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 36 ( 23 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 34 ( 16 ~; 13 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(t6_zfmisc_1_negated,plain,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
inference(negate_conjecture,[status(cth)],[t6_zfmisc_1]) ).
cnf(16,plain,
sK4 != sK5,
inference(cnf,[status(esa)],[t6_zfmisc_1_negated]) ).
cnf(l0,plain,
sK4 != sK5,
inference(instantiation,[status(thm)],[16]) ).
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(1,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l1,plain,
( ~ in(sK4,singleton(sK4))
| singleton(sK4) != singleton(sK5)
| sK4 = sK5 ),
inference(instantiation,[status(thm)],[1]) ).
fof(l4_zfmisc_1,plain,
! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(9,plain,
( ~ subset(X0,singleton(X1))
| X0 = singleton(X1)
| X0 = empty_set ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
cnf(l3,plain,
( ~ subset(singleton(sK4),singleton(sK5))
| singleton(sK4) = singleton(sK5)
| singleton(sK4) = empty_set ),
inference(instantiation,[status(thm)],[9]) ).
cnf(15,plain,
subset(singleton(sK4),singleton(sK5)),
inference(cnf,[status(esa)],[t6_zfmisc_1_negated]) ).
cnf(l12,plain,
subset(singleton(sK4),singleton(sK5)),
inference(instantiation,[status(thm)],[15]) ).
fof(l1_zfmisc_1,plain,
! [A] : singleton(A) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
cnf(8,plain,
singleton(X0) != empty_set,
inference(cnf,[status(esa)],[l1_zfmisc_1]) ).
cnf(l11,plain,
singleton(sK4) != empty_set,
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l2,plain,
( singleton(sK4) != singleton(sK4)
| sK4 != sK4
| in(sK4,singleton(sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l12,l11,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU148+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 23:36:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 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: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 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
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------