%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU165+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:44:42 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 20 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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(t106_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',t106_zfmisc_1) ).
fof(t106_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ),
inference(negate_conjecture,[status(cth)],[t106_zfmisc_1]) ).
cnf(6,plain,
( in(sK3,sK5)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(cnf,[status(esa)],[t106_zfmisc_1_negated]) ).
cnf(l0,plain,
( in(sK3,sK5)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK6)
| ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(cnf,[status(esa)],[t106_zfmisc_1_negated]) ).
cnf(l1,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK6)
| ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l2,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK6)
| ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[8]) ).
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(10,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l6,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(sK4,sK6) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( in(sK4,sK6)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(cnf,[status(esa)],[t106_zfmisc_1_negated]) ).
cnf(l3,plain,
( in(sK4,sK6)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l5,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( in(sK4,sK6)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(11,plain,
( ~ in(X0,X1)
| ~ in(X2,X3)
| in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l8,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK6)
| in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l7,plain,
( ~ in(ordered_pair(sK3,sK4),cartesian_product2(sK5,sK6))
| in(sK4,sK6) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l3,l5,l4,l8,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEU165+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 23:41:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------