%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET954+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 : n025.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 03:33:02 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 13 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t107_zfmisc_1,plain,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
=> in(ordered_pair(B,A),cartesian_product2(D,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t107_zfmisc_1) ).
fof(t107_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
=> in(ordered_pair(B,A),cartesian_product2(D,C)) ),
inference(negate_conjecture,[status(cth)],[t107_zfmisc_1]) ).
cnf(9,plain,
in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)),
inference(cnf,[status(esa)],[t107_zfmisc_1_negated]) ).
cnf(l0,plain,
in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)),
inference(instantiation,[status(thm)],[9]) ).
fof(l55_zfmisc_1,plain,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(6,plain,
( ~ in(X0,X1)
| ~ in(X2,X3)
| in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(ordered_pair(ordered_pair(sK3,sK4),ordered_pair(sK3,sK4)),cartesian_product2(cartesian_product2(sK5,sK6),cartesian_product2(sK5,sK6))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l2,plain,
( ~ in(ordered_pair(ordered_pair(sK3,sK4),ordered_pair(sK3,sK4)),cartesian_product2(cartesian_product2(sK5,sK6),cartesian_product2(sK5,sK6)))
| ~ in(ordered_pair(sK4,sK3),cartesian_product2(sK6,sK5))
| in(ordered_pair(ordered_pair(ordered_pair(sK3,sK4),ordered_pair(sK3,sK4)),ordered_pair(sK4,sK3)),cartesian_product2(cartesian_product2(cartesian_product2(sK5,sK6),cartesian_product2(sK5,sK6)),cartesian_product2(sK6,sK5))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l8,plain,
( ~ in(sK4,sK6)
| ~ in(sK3,sK5)
| in(ordered_pair(sK4,sK3),cartesian_product2(sK6,sK5)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l3,plain,
( ~ in(ordered_pair(ordered_pair(ordered_pair(sK3,sK4),ordered_pair(sK3,sK4)),ordered_pair(sK4,sK3)),cartesian_product2(cartesian_product2(cartesian_product2(sK5,sK6),cartesian_product2(sK5,sK6)),cartesian_product2(sK6,sK5)))
| in(ordered_pair(sK4,sK3),cartesian_product2(sK6,sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(10,plain,
~ in(ordered_pair(sK4,sK3),cartesian_product2(sK6,sK5)),
inference(cnf,[status(esa)],[t107_zfmisc_1_negated]) ).
cnf(l6,plain,
~ in(ordered_pair(sK4,sK3),cartesian_product2(sK6,sK5)),
inference(instantiation,[status(thm)],[10]) ).
cnf(4,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l9,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l10,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(sK4,sK6) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l3,l6,l9,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET954+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:04:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------