%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET867+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:32:53 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 25 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 8 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_zfmisc_1,plain,
union(empty_set) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_zfmisc_1) ).
fof(t2_zfmisc_1_negated,plain,
union(empty_set) != empty_set,
inference(negate_conjecture,[status(cth)],[t2_zfmisc_1]) ).
cnf(14,plain,
union(empty_set) != empty_set,
inference(cnf,[status(esa)],[t2_zfmisc_1_negated]) ).
cnf(l0,plain,
union(empty_set) != empty_set,
inference(instantiation,[status(thm)],[14]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(2,plain,
( in(sK1(X0),X0)
| X0 = empty_set ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l1,plain,
( in(sK1(union(empty_set)),union(empty_set))
| union(empty_set) = empty_set ),
inference(instantiation,[status(thm)],[2]) ).
fof(d4_tarski,plain,
! [A,B] :
( B = union(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(C,D)
& in(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
cnf(4,plain,
( ~ in(X0,X1)
| X1 != union(X2)
| in(sK2(X2,X1,X0),X2) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
cnf(l2,plain,
( ~ in(sK1(union(empty_set)),union(empty_set))
| union(empty_set) != union(empty_set)
| in(sK2(empty_set,union(empty_set),sK1(union(empty_set))),empty_set) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ in(X0,X1)
| X1 != empty_set ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l4,plain,
( ~ in(sK2(empty_set,union(empty_set),sK1(union(empty_set))),empty_set)
| empty_set != empty_set ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET867+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 22:57:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------