%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU167+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% 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/sandbox/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(5,plain,
~ subset(cartesian_product2(sK1,sK3),cartesian_product2(sK2,sK4)),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l0,plain,
~ subset(cartesian_product2(sK1,sK3),cartesian_product2(sK2,sK4)),
inference(instantiation,[status(thm)],[5]) ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(6,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
cnf(l1,plain,
( ~ subset(cartesian_product2(sK1,sK3),cartesian_product2(sK1,sK4))
| ~ subset(cartesian_product2(sK1,sK4),cartesian_product2(sK2,sK4))
| subset(cartesian_product2(sK1,sK3),cartesian_product2(sK2,sK4)) ),
inference(instantiation,[status(thm)],[6]) ).
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/sandbox/benchmark/theBenchmark.p',t118_zfmisc_1) ).
cnf(2,plain,
( ~ subset(X0,X1)
| subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(cnf,[status(esa)],[t118_zfmisc_1]) ).
cnf(l10,plain,
( ~ subset(sK3,sK4)
| subset(cartesian_product2(sK1,sK3),cartesian_product2(sK1,sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(cnf,[status(esa)],[t118_zfmisc_1]) ).
cnf(l2,plain,
( ~ subset(sK1,sK2)
| subset(cartesian_product2(sK1,sK4),cartesian_product2(sK2,sK4)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l11,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
subset(sK1,sK2),
inference(cnf,[status(esa)],[t119_zfmisc_1_negated]) ).
cnf(l8,plain,
subset(sK1,sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l2,l11,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU167+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.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 23:42:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------