%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET978+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 : n022.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 0.08s 0.29s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 30 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 14 ~; 9 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t131_zfmisc_1,plain,
! [A,B,C,D] :
( A != B
=> ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
& disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t131_zfmisc_1) ).
fof(t131_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( A != B
=> ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
& disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
inference(negate_conjecture,[status(cth)],[t131_zfmisc_1]) ).
cnf(5,plain,
sK3 != sK4,
inference(cnf,[status(esa)],[t131_zfmisc_1_negated]) ).
cnf(l0,plain,
sK3 != sK4,
inference(instantiation,[status(thm)],[5]) ).
fof(t17_zfmisc_1,plain,
! [A,B] :
( A != B
=> disjoint(singleton(A),singleton(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_zfmisc_1) ).
cnf(7,plain,
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[t17_zfmisc_1]) ).
cnf(l1,plain,
( disjoint(singleton(sK3),singleton(sK4))
| sK3 = sK4 ),
inference(instantiation,[status(thm)],[7]) ).
fof(t127_zfmisc_1,plain,
! [A,B,C,D] :
( ( disjoint(A,B)
| disjoint(C,D) )
=> disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
cnf(3,plain,
( ~ disjoint(X0,X1)
| disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[t127_zfmisc_1]) ).
cnf(l2,plain,
( ~ disjoint(singleton(sK3),singleton(sK4))
| disjoint(cartesian_product2(singleton(sK3),sK5),cartesian_product2(singleton(sK4),sK6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ disjoint(cartesian_product2(singleton(sK3),sK5),cartesian_product2(singleton(sK4),sK6))
| ~ disjoint(cartesian_product2(sK5,singleton(sK3)),cartesian_product2(sK6,singleton(sK4))) ),
inference(cnf,[status(esa)],[t131_zfmisc_1_negated]) ).
cnf(l3,plain,
( ~ disjoint(cartesian_product2(singleton(sK3),sK5),cartesian_product2(singleton(sK4),sK6))
| ~ disjoint(cartesian_product2(sK5,singleton(sK3)),cartesian_product2(sK6,singleton(sK4))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ disjoint(X0,X1)
| disjoint(cartesian_product2(X2,X0),cartesian_product2(X3,X1)) ),
inference(cnf,[status(esa)],[t127_zfmisc_1]) ).
cnf(l4,plain,
( ~ disjoint(singleton(sK3),singleton(sK4))
| disjoint(cartesian_product2(sK5,singleton(sK3)),cartesian_product2(sK6,singleton(sK4))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET978+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 23:09:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % SZS status Theorem for theBenchmark
% 0.08/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------