%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET893+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 : n019.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 03:32:56 PM UTC 2025
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 1 unt; 0 def)
% Number of atoms : 63 ( 28 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 30 |; 3 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t34_zfmisc_1,plain,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(singleton(C),singleton(D)))
<=> ( A = C
& B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_zfmisc_1) ).
fof(t34_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(singleton(C),singleton(D)))
<=> ( A = C
& B = D ) ),
inference(negate_conjecture,[status(cth)],[t34_zfmisc_1]) ).
cnf(17,plain,
( sK4 != sK6
| sK5 != sK7
| ~ in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(cnf,[status(esa)],[t34_zfmisc_1_negated]) ).
cnf(l0,plain,
( sK4 != sK6
| sK5 != sK7
| ~ in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[17]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(2,plain,
( X0 != singleton(X1)
| ~ in(X2,X0)
| X2 = X1 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l3,plain,
( singleton(sK7) != singleton(sK7)
| ~ in(sK5,singleton(sK7))
| sK5 = sK7 ),
inference(instantiation,[status(thm)],[2]) ).
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(12,plain,
( ~ in(X0,X1)
| ~ in(X2,X3)
| in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l55,plain,
( ~ in(sK4,singleton(sK6))
| ~ in(sK5,singleton(sK7))
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1,plain,
( singleton(sK6) != singleton(sK6)
| ~ in(sK4,singleton(sK6))
| sK4 = sK6 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l14,plain,
( ~ in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7)))
| in(sK4,singleton(sK6)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(15,plain,
( sK4 = sK6
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(cnf,[status(esa)],[t34_zfmisc_1_negated]) ).
cnf(l15,plain,
( sK4 = sK6
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(3,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l58,plain,
( singleton(sK6) != singleton(sK6)
| sK4 != sK6
| in(sK4,singleton(sK6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(11,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l4,plain,
( ~ in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7)))
| in(sK5,singleton(sK7)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l56,plain,
( singleton(sK7) != singleton(sK7)
| sK5 != sK7
| in(sK5,singleton(sK7)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(16,plain,
( sK5 = sK7
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(cnf,[status(esa)],[t34_zfmisc_1_negated]) ).
cnf(l8,plain,
( sK5 = sK7
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l63,plain,
( sK5 = sK7
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l60,plain,
( sK4 = sK6
| in(ordered_pair(sK4,sK5),cartesian_product2(singleton(sK6),singleton(sK7))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l55,l1,l14,l15,l58,l4,l56,l8,l63,l60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET893+1 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 22:59:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------