%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET949+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 : n018.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 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 20 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 21 ( 11 ~; 4 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 22 ( 2 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t102_zfmisc_1,plain,
! [A,B,C] :
~ ( in(A,cartesian_product2(B,C))
& ! [D,E] : ordered_pair(D,E) != A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_zfmisc_1) ).
fof(t102_zfmisc_1_negated,plain,
~ ! [A,B,C] :
~ ( in(A,cartesian_product2(B,C))
& ! [D,E] : ordered_pair(D,E) != A ),
inference(negate_conjecture,[status(cth)],[t102_zfmisc_1]) ).
cnf(16,plain,
in(sK12,cartesian_product2(sK13,sK14)),
inference(cnf,[status(esa)],[t102_zfmisc_1_negated]) ).
cnf(l0,plain,
in(sK12,cartesian_product2(sK13,sK14)),
inference(instantiation,[status(thm)],[16]) ).
fof(d2_zfmisc_1,plain,
! [A,B,C] :
( C = cartesian_product2(A,B)
<=> ! [D] :
( in(D,C)
<=> ? [E,F] :
( in(E,A)
& in(F,B)
& D = ordered_pair(E,F) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(4,plain,
( X0 != cartesian_product2(X1,X2)
| ~ in(X3,X0)
| X3 = ordered_pair(sK1(X1,X2,X0,X3),sK2(X1,X2,X0,X3)) ),
inference(cnf,[status(esa)],[d2_zfmisc_1]) ).
cnf(l1,plain,
( cartesian_product2(sK13,sK14) != cartesian_product2(sK13,sK14)
| ~ in(sK12,cartesian_product2(sK13,sK14))
| sK12 = ordered_pair(sK1(sK13,sK14,cartesian_product2(sK13,sK14),sK12),sK2(sK13,sK14,cartesian_product2(sK13,sK14),sK12)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(17,plain,
ordered_pair(X0,X1) != sK12,
inference(cnf,[status(esa)],[t102_zfmisc_1_negated]) ).
cnf(l10,plain,
ordered_pair(sK1(sK13,sK14,cartesian_product2(sK13,sK14),sK12),sK2(sK13,sK14,cartesian_product2(sK13,sK14),sK12)) != sK12,
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET949+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 23:04:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------