%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET926+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:33:00 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 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(t69_zfmisc_1,plain,
! [A,B] :
( set_difference(singleton(A),B) = empty_set
| set_difference(singleton(A),B) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_zfmisc_1) ).
fof(t69_zfmisc_1_negated,plain,
~ ! [A,B] :
( set_difference(singleton(A),B) = empty_set
| set_difference(singleton(A),B) = singleton(A) ),
inference(negate_conjecture,[status(cth)],[t69_zfmisc_1]) ).
cnf(8,plain,
set_difference(singleton(sK3),sK4) != empty_set,
inference(cnf,[status(esa)],[t69_zfmisc_1_negated]) ).
cnf(l0,plain,
set_difference(singleton(sK3),sK4) != empty_set,
inference(instantiation,[status(thm)],[8]) ).
fof(l36_zfmisc_1,plain,
! [A,B] :
( set_difference(singleton(A),B) = empty_set
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_zfmisc_1) ).
cnf(5,plain,
( ~ in(X0,X1)
| set_difference(singleton(X0),X1) = empty_set ),
inference(cnf,[status(esa)],[l36_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK3,sK4)
| set_difference(singleton(sK3),sK4) = empty_set ),
inference(instantiation,[status(thm)],[5]) ).
fof(l34_zfmisc_1,plain,
! [A,B] :
( set_difference(singleton(A),B) = singleton(A)
<=> ~ in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_zfmisc_1) ).
cnf(3,plain,
( in(X0,X1)
| set_difference(singleton(X0),X1) = singleton(X0) ),
inference(cnf,[status(esa)],[l34_zfmisc_1]) ).
cnf(l2,plain,
( in(sK3,sK4)
| set_difference(singleton(sK3),sK4) = singleton(sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(9,plain,
set_difference(singleton(sK3),sK4) != singleton(sK3),
inference(cnf,[status(esa)],[t69_zfmisc_1_negated]) ).
cnf(l4,plain,
set_difference(singleton(sK3),sK4) != singleton(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET926+1 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 23:02:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------