%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET589+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 03:32:17 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 11 ~; 8 |; 3 &)
% ( 0 <=>; 5 =>; 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 : 26 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th48,plain,
! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th48) ).
fof(prove_th48_negated,plain,
~ ! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(difference(B,E),difference(C,D)) ),
inference(negate_conjecture,[status(cth)],[prove_th48]) ).
cnf(12,plain,
~ subset(difference(sK2,sK5),difference(sK3,sK4)),
inference(cnf,[status(esa)],[prove_th48_negated]) ).
cnf(l0,plain,
~ subset(difference(sK2,sK5),difference(sK3,sK4)),
inference(instantiation,[status(thm)],[12]) ).
fof(transitivity_of_subset,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subset) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_subset]) ).
cnf(l1,plain,
( ~ subset(difference(sK2,sK5),difference(sK3,sK5))
| ~ subset(difference(sK3,sK5),difference(sK3,sK4))
| subset(difference(sK2,sK5),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(difference_subset1,plain,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset1) ).
cnf(1,plain,
( ~ subset(X0,X1)
| subset(difference(X0,X2),difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference_subset1]) ).
cnf(l10,plain,
( ~ subset(sK2,sK3)
| subset(difference(sK2,sK5),difference(sK3,sK5)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(10,plain,
subset(sK2,sK3),
inference(cnf,[status(esa)],[prove_th48_negated]) ).
cnf(l12,plain,
subset(sK2,sK3),
inference(instantiation,[status(thm)],[10]) ).
fof(difference_subset2,plain,
! [B,C,D] :
( subset(B,C)
=> subset(difference(D,C),difference(D,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset2) ).
cnf(2,plain,
( ~ subset(X0,X1)
| subset(difference(X2,X1),difference(X2,X0)) ),
inference(cnf,[status(esa)],[difference_subset2]) ).
cnf(l2,plain,
( ~ subset(sK4,sK5)
| subset(difference(sK3,sK5),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(11,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[prove_th48_negated]) ).
cnf(l7,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l12,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET589+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 22:03:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % 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
%------------------------------------------------------------------------------