%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU167+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 03:44:43 PM UTC 2025
% Result : Theorem 20.08s 2.93s
% Output : CNFRefutation 20.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 11 ~; 8 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t119_zfmisc_1,plain,
! [A,B,C,D] :
( ( subset(A,B)
& subset(C,D) )
=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(t119_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( ( subset(A,B)
& subset(C,D) )
=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ),
inference(negate_conjecture,[status(cth)],[t119_zfmisc_1]) ).
cnf(116,plain,
~ subset(cartesian_product2(sK25,sK27),cartesian_product2(sK26,sK28)),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l0,plain,
~ subset(cartesian_product2(sK25,sK27),cartesian_product2(sK26,sK28)),
inference(instantiation,[status(thm)],[116]) ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(121,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
cnf(l1,plain,
( ~ subset(cartesian_product2(sK25,sK27),cartesian_product2(sK25,sK28))
| ~ subset(cartesian_product2(sK25,sK28),cartesian_product2(sK26,sK28))
| subset(cartesian_product2(sK25,sK27),cartesian_product2(sK26,sK28)) ),
inference(instantiation,[status(thm)],[121]) ).
fof(t118_zfmisc_1,plain,
! [A,B,C] :
( subset(A,B)
=> ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
& subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
cnf(113,plain,
( ~ subset(X0,X1)
| subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(cnf,[status(esa)],[t118_zfmisc_1]) ).
cnf(l12,plain,
( ~ subset(sK27,sK28)
| subset(cartesian_product2(sK25,sK27),cartesian_product2(sK25,sK28)) ),
inference(instantiation,[status(thm)],[113]) ).
cnf(115,plain,
subset(sK27,sK28),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l13,plain,
subset(sK27,sK28),
inference(instantiation,[status(thm)],[115]) ).
cnf(112,plain,
( ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(cnf,[status(esa)],[t118_zfmisc_1]) ).
cnf(l2,plain,
( ~ subset(sK25,sK26)
| subset(cartesian_product2(sK25,sK28),cartesian_product2(sK26,sK28)) ),
inference(instantiation,[status(thm)],[112]) ).
cnf(114,plain,
subset(sK25,sK26),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l4,plain,
subset(sK25,sK26),
inference(instantiation,[status(thm)],[114]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l13,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU167+2 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:42:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.19/0.44 % launching worker at depth: 10
% 20.08/2.93 % SZS status Theorem for theBenchmark
% 20.08/2.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------