%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET987+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 : 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 03:33:05 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 ( 8 unt; 0 def)
% Number of atoms : 18 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 2 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t141_zfmisc_1,plain,
! [A,B] :
( ~ in(A,B)
=> set_difference(set_union2(B,singleton(A)),singleton(A)) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t141_zfmisc_1) ).
fof(t141_zfmisc_1_negated,plain,
~ ! [A,B] :
( ~ in(A,B)
=> set_difference(set_union2(B,singleton(A)),singleton(A)) = B ),
inference(negate_conjecture,[status(cth)],[t141_zfmisc_1]) ).
cnf(7,plain,
~ in(sK3,sK4),
inference(cnf,[status(esa)],[t141_zfmisc_1_negated]) ).
cnf(l0,plain,
~ in(sK3,sK4),
inference(instantiation,[status(thm)],[7]) ).
fof(t65_zfmisc_1,plain,
! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
cnf(11,plain,
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(cnf,[status(esa)],[t65_zfmisc_1]) ).
cnf(l1,plain,
( set_difference(sK4,singleton(sK3)) = sK4
| in(sK3,sK4) ),
inference(instantiation,[status(thm)],[11]) ).
fof(t40_xboole_1,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
cnf(9,plain,
set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(cnf,[status(esa)],[t40_xboole_1]) ).
cnf(l13,plain,
set_difference(set_union2(sK4,singleton(sK3)),singleton(sK3)) = set_difference(sK4,singleton(sK3)),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
set_difference(set_union2(sK4,singleton(sK3)),singleton(sK3)) != sK4,
inference(cnf,[status(esa)],[t141_zfmisc_1_negated]) ).
cnf(l10,plain,
set_difference(set_union2(sK4,singleton(sK3)),singleton(sK3)) != sK4,
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l13,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SET987+1 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 23:09:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 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: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 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
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------