%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET983+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 : n023.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 28 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t137_zfmisc_1,plain,
! [A,B,C,D,E] :
( ( in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) )
=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_zfmisc_1) ).
fof(t137_zfmisc_1_negated,plain,
~ ! [A,B,C,D,E] :
( ( in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) )
=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ),
inference(negate_conjecture,[status(cth)],[t137_zfmisc_1]) ).
cnf(14,plain,
in(sK4,cartesian_product2(sK5,sK6)),
inference(cnf,[status(esa)],[t137_zfmisc_1_negated]) ).
cnf(l0,plain,
in(sK4,cartesian_product2(sK5,sK6)),
inference(instantiation,[status(thm)],[14]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(4,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l1,plain,
( cartesian_product2(set_intersection2(sK5,sK7),set_intersection2(sK6,sK8)) != set_intersection2(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8))
| ~ in(sK4,cartesian_product2(sK5,sK6))
| ~ in(sK4,cartesian_product2(sK7,sK8))
| in(sK4,cartesian_product2(set_intersection2(sK5,sK7),set_intersection2(sK6,sK8))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(16,plain,
~ in(sK4,cartesian_product2(set_intersection2(sK5,sK7),set_intersection2(sK6,sK8))),
inference(cnf,[status(esa)],[t137_zfmisc_1_negated]) ).
cnf(l4,plain,
~ in(sK4,cartesian_product2(set_intersection2(sK5,sK7),set_intersection2(sK6,sK8))),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
in(sK4,cartesian_product2(sK7,sK8)),
inference(cnf,[status(esa)],[t137_zfmisc_1_negated]) ).
cnf(l3,plain,
in(sK4,cartesian_product2(sK7,sK8)),
inference(instantiation,[status(thm)],[15]) ).
fof(t123_zfmisc_1,plain,
! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).
cnf(13,plain,
cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
inference(cnf,[status(esa)],[t123_zfmisc_1]) ).
cnf(l2,plain,
cartesian_product2(set_intersection2(sK5,sK7),set_intersection2(sK6,sK8)) = set_intersection2(cartesian_product2(sK5,sK6),cartesian_product2(sK7,sK8)),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET983+1 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:09:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------