%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET985+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:33:05 PM UTC 2025
% Result : Theorem 8.27s 1.37s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 57 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 18 ~; 20 |; 1 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t139_zfmisc_1,plain,
! [A] :
( ~ empty(A)
=> ! [B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
| subset(cartesian_product2(B,A),cartesian_product2(D,C)) )
=> subset(B,D) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_zfmisc_1) ).
fof(t139_zfmisc_1_negated,plain,
~ ! [A] :
( ~ empty(A)
=> ! [B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
| subset(cartesian_product2(B,A),cartesian_product2(D,C)) )
=> subset(B,D) ) ),
inference(negate_conjecture,[status(cth)],[t139_zfmisc_1]) ).
cnf(10,plain,
( subset(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
| subset(cartesian_product2(sK4,sK3),cartesian_product2(sK6,sK5)) ),
inference(cnf,[status(esa)],[t139_zfmisc_1_negated]) ).
cnf(l0,plain,
( subset(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
| subset(cartesian_product2(sK4,sK3),cartesian_product2(sK6,sK5)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(t138_zfmisc_1,plain,
! [A,B,C,D] :
( subset(cartesian_product2(A,B),cartesian_product2(C,D))
=> ( cartesian_product2(A,B) = empty_set
| ( subset(A,C)
& subset(B,D) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(7,plain,
( ~ subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
| subset(X0,X2)
| cartesian_product2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[t138_zfmisc_1]) ).
cnf(l50,plain,
( ~ subset(cartesian_product2(sK4,sK3),cartesian_product2(sK6,sK5))
| subset(sK4,sK6)
| cartesian_product2(sK4,sK3) = empty_set ),
inference(instantiation,[status(thm)],[7]) ).
cnf(11,plain,
~ subset(sK4,sK6),
inference(cnf,[status(esa)],[t139_zfmisc_1_negated]) ).
cnf(l66,plain,
~ subset(sK4,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
( ~ subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
| subset(X1,X3)
| cartesian_product2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[t138_zfmisc_1]) ).
cnf(l1,plain,
( ~ subset(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK6))
| subset(sK4,sK6)
| cartesian_product2(sK3,sK4) = empty_set ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l3,plain,
~ subset(sK4,sK6),
inference(instantiation,[status(thm)],[11]) ).
fof(t113_zfmisc_1,plain,
! [A,B] :
( cartesian_product2(A,B) = empty_set
<=> ( A = empty_set
| B = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(4,plain,
( cartesian_product2(X0,X1) != empty_set
| X0 = empty_set
| X1 = empty_set ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
cnf(l224,plain,
( cartesian_product2(sK3,sK4) != empty_set
| sK3 = empty_set
| sK4 = empty_set ),
inference(instantiation,[status(thm)],[4]) ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(0,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
cnf(l260,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
~ empty(sK3),
inference(cnf,[status(esa)],[t139_zfmisc_1_negated]) ).
cnf(l253,plain,
~ empty(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(l387,plain,
~ subset(sK4,sK6),
inference(instantiation,[status(thm)],[11]) ).
fof(t2_xboole_1,plain,
! [A] : subset(empty_set,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(12,plain,
subset(empty_set,X0),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
cnf(l380,plain,
subset(empty_set,sK6),
inference(instantiation,[status(thm)],[12]) ).
cnf(l51,plain,
( cartesian_product2(sK4,sK3) != empty_set
| sK4 = empty_set
| sK3 = empty_set ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l105,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[0]) ).
cnf(l137,plain,
subset(empty_set,sK6),
inference(instantiation,[status(thm)],[12]) ).
cnf(l169,plain,
~ subset(sK4,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(l95,plain,
~ empty(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l50,l66,l1,l3,l224,l260,l253,l387,l380,l51,l105,l137,l169,l95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET985+1 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:09:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 0.20/0.51 % launching worker at depth: 12
% 8.27/1.37 % SZS status Theorem for theBenchmark
% 8.27/1.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------