%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET767+4 : 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 : n021.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 03:32:38 PM UTC 2025
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 7 ~; 6 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII03,plain,
! [E,R,A] :
( equivalence(R,E)
=> subset(equivalence_class(A,E,R),E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII03) ).
fof(thIII03_negated,plain,
~ ! [E,R,A] :
( equivalence(R,E)
=> subset(equivalence_class(A,E,R),E) ),
inference(negate_conjecture,[status(cth)],[thIII03]) ).
cnf(74,plain,
~ subset(equivalence_class(sK25,sK23,sK24),sK23),
inference(cnf,[status(esa)],[thIII03_negated]) ).
cnf(l0,plain,
~ subset(equivalence_class(sK25,sK23,sK24),sK23),
inference(instantiation,[status(thm)],[74]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l1,plain,
( ~ member(sK1(equivalence_class(sK25,sK23,sK24),sK23),sK23)
| subset(equivalence_class(sK25,sK23,sK24),sK23) ),
inference(instantiation,[status(thm)],[2]) ).
fof(equivalence_class,plain,
! [R,E,A,X] :
( member(X,equivalence_class(A,E,R))
<=> ( member(X,E)
& apply(R,A,X) ) ),
file('Axioms/SET006+2.ax',equivalence_class) ).
cnf(60,plain,
( ~ member(X0,equivalence_class(X1,X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[equivalence_class]) ).
cnf(l2,plain,
( ~ member(sK1(equivalence_class(sK25,sK23,sK24),sK23),equivalence_class(sK25,sK23,sK24))
| member(sK1(equivalence_class(sK25,sK23,sK24),sK23),sK23) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l7,plain,
( subset(equivalence_class(sK25,sK23,sK24),sK23)
| member(sK1(equivalence_class(sK25,sK23,sK24),sK23),equivalence_class(sK25,sK23,sK24)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET767+4 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.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 22:36:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 5
% 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: 6
% 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
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------