%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET060+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:31:20 PM UTC 2025
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(special_classes_lemma,plain,
! [X,Y] : ~ member(Y,intersection(complement(X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(special_classes_lemma_negated,plain,
~ ! [X,Y] : ~ member(Y,intersection(complement(X),X)),
inference(negate_conjecture,[status(cth)],[special_classes_lemma]) ).
cnf(89,plain,
member(sK11,intersection(complement(sK10),sK10)),
inference(cnf,[status(esa)],[special_classes_lemma_negated]) ).
cnf(l0,plain,
member(sK11,intersection(complement(sK10),sK10)),
inference(instantiation,[status(thm)],[89]) ).
fof(intersection,plain,
! [X,Y,Z] :
( member(Z,intersection(X,Y))
<=> ( member(Z,X)
& member(Z,Y) ) ),
file('Axioms/SET005+0.ax',intersection) ).
cnf(25,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l1,plain,
( ~ member(sK11,intersection(complement(sK10),sK10))
| member(sK11,sK10) ),
inference(instantiation,[status(thm)],[25]) ).
fof(complement,plain,
! [X,Z] :
( member(Z,complement(X))
<=> ( member(Z,universal_class)
& ~ member(Z,X) ) ),
file('Axioms/SET005+0.ax',complement) ).
cnf(28,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement]) ).
cnf(l2,plain,
( ~ member(sK11,sK10)
| ~ member(sK11,complement(sK10)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(24,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l9,plain,
( ~ member(sK11,intersection(complement(sK10),sK10))
| member(sK11,complement(sK10)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET060+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n019.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 19:37:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 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: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------