%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU160+2 : 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 : 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 03:44:40 PM UTC 2025
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 1 unt; 0 def)
% Number of atoms : 50 ( 28 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 24 |; 1 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t39_zfmisc_1,plain,
! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(t39_zfmisc_1_negated,plain,
~ ! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
inference(negate_conjecture,[status(cth)],[t39_zfmisc_1]) ).
cnf(134,plain,
( sK26 != empty_set
| ~ subset(sK26,singleton(sK27)) ),
inference(cnf,[status(esa)],[t39_zfmisc_1_negated]) ).
cnf(l0,plain,
( sK26 != empty_set
| ~ subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[134]) ).
cnf(133,plain,
( sK26 = empty_set
| sK26 = singleton(sK27)
| subset(sK26,singleton(sK27)) ),
inference(cnf,[status(esa)],[t39_zfmisc_1_negated]) ).
cnf(l2,plain,
( sK26 = empty_set
| sK26 = singleton(sK27)
| subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[133]) ).
cnf(l1,plain,
( sK26 = empty_set
| sK26 = singleton(sK27)
| subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[133]) ).
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(98,plain,
( X0 != empty_set
| subset(X0,singleton(X1)) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
cnf(l9,plain,
( sK26 != empty_set
| subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[98]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(5,plain,
( X0 != X1
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l5,plain,
( sK26 != singleton(sK27)
| subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(135,plain,
( sK26 != singleton(sK27)
| ~ subset(sK26,singleton(sK27)) ),
inference(cnf,[status(esa)],[t39_zfmisc_1_negated]) ).
cnf(l6,plain,
( sK26 != singleton(sK27)
| ~ subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[135]) ).
cnf(l8,plain,
( sK26 != singleton(sK27)
| ~ subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[135]) ).
cnf(97,plain,
( ~ subset(X0,singleton(X1))
| X0 = empty_set
| X0 = singleton(X1) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
cnf(l11,plain,
( ~ subset(sK26,singleton(sK27))
| sK26 = empty_set
| sK26 = singleton(sK27) ),
inference(instantiation,[status(thm)],[97]) ).
cnf(99,plain,
( X0 != singleton(X1)
| subset(X0,singleton(X1)) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
cnf(l10,plain,
( sK26 != singleton(sK27)
| subset(sK26,singleton(sK27)) ),
inference(instantiation,[status(thm)],[99]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l9,l5,l6,l8,l11,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU160+2 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 23:40:04 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------