%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET956+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 : 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 03:33:03 PM UTC 2025
% Result : Theorem 31.08s 4.30s
% Output : CNFRefutation 31.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 18 ~; 14 |; 6 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t109_zfmisc_1,plain,
! [A,B,C,D] :
( ( subset(A,cartesian_product2(B,C))
& ! [E,F] :
( in(ordered_pair(E,F),A)
=> in(ordered_pair(E,F),D) ) )
=> subset(A,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_zfmisc_1) ).
fof(t109_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( ( subset(A,cartesian_product2(B,C))
& ! [E,F] :
( in(ordered_pair(E,F),A)
=> in(ordered_pair(E,F),D) ) )
=> subset(A,D) ),
inference(negate_conjecture,[status(cth)],[t109_zfmisc_1]) ).
cnf(14,plain,
( ~ in(ordered_pair(X0,X1),sK6)
| in(ordered_pair(X0,X1),sK9) ),
inference(cnf,[status(esa)],[t109_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(ordered_pair(sK4(sK6,sK7,sK8,sK1(sK6,sK9)),sK5(sK6,sK7,sK8,sK1(sK6,sK9))),sK6)
| in(ordered_pair(sK4(sK6,sK7,sK8,sK1(sK6,sK9)),sK5(sK6,sK7,sK8,sK1(sK6,sK9))),sK9) ),
inference(instantiation,[status(thm)],[14]) ).
fof(t103_zfmisc_1,plain,
! [A,B,C,D] :
~ ( subset(A,cartesian_product2(B,C))
& in(D,A)
& ! [E,F] :
~ ( in(E,B)
& in(F,C)
& D = ordered_pair(E,F) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_zfmisc_1) ).
cnf(12,plain,
( ~ in(X0,X1)
| ~ subset(X1,cartesian_product2(X2,X3))
| X0 = ordered_pair(sK4(X1,X2,X3,X0),sK5(X1,X2,X3,X0)) ),
inference(cnf,[status(esa)],[t103_zfmisc_1]) ).
cnf(l2,plain,
( ~ in(sK1(sK6,sK9),sK6)
| ~ subset(sK6,cartesian_product2(sK7,sK8))
| sK1(sK6,sK9) = ordered_pair(sK4(sK6,sK7,sK8,sK1(sK6,sK9)),sK5(sK6,sK7,sK8,sK1(sK6,sK9))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l321,plain,
( ~ in(sK1(sK6,sK9),sK9)
| subset(sK6,sK9) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
subset(sK6,cartesian_product2(sK7,sK8)),
inference(cnf,[status(esa)],[t109_zfmisc_1_negated]) ).
cnf(l4,plain,
subset(sK6,cartesian_product2(sK7,sK8)),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
~ subset(sK6,sK9),
inference(cnf,[status(esa)],[t109_zfmisc_1_negated]) ).
cnf(l326,plain,
~ subset(sK6,sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(3,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l82,plain,
( in(sK1(sK6,sK9),sK6)
| subset(sK6,sK9) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l86,plain,
~ subset(sK6,sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(l3,plain,
( in(sK1(sK6,sK9),sK6)
| subset(sK6,sK9) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l257,plain,
( ~ in(sK1(sK6,sK9),sK6)
| ~ subset(sK6,cartesian_product2(sK7,sK8))
| sK1(sK6,sK9) = ordered_pair(sK4(sK6,sK7,sK8,sK1(sK6,sK9)),sK5(sK6,sK7,sK8,sK1(sK6,sK9))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l258,plain,
( in(sK1(sK6,sK9),sK6)
| subset(sK6,sK9) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
~ subset(sK6,sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(l322,plain,
subset(sK6,cartesian_product2(sK7,sK8)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l349,plain,
~ subset(sK6,sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l321,l4,l326,l82,l86,l3,l257,l258,l6,l322,l349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET956+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
% 0.12/0.33 % Computer : n023.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 23:04:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.38 % launching worker at depth: 11
% 3.17/0.72 % launching worker at depth: 12
% 31.08/4.30 % SZS status Theorem for theBenchmark
% 31.08/4.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------