%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET702+4 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 03:32:33 PM UTC 2025
% Result : Theorem 67.95s 8.95s
% Output : CNFRefutation 67.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 25 ~; 27 |; 2 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 3 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI36,plain,
! [A,B] : subset(intersection(product(A),product(B)),product(intersection(A,B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI36) ).
fof(thI36_negated,plain,
~ ! [A,B] : subset(intersection(product(A),product(B)),product(intersection(A,B))),
inference(negate_conjecture,[status(cth)],[thI36]) ).
cnf(29,plain,
~ subset(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),
inference(cnf,[status(esa)],[thI36_negated]) ).
cnf(l0,plain,
~ subset(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),
inference(instantiation,[status(thm)],[29]) ).
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(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(intersection(sK5,sK6)))
| subset(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[2]) ).
fof(difference,plain,
! [B,A,E] :
( member(B,difference(E,A))
<=> ( member(B,E)
& ~ member(B,A) ) ),
file('Axioms/SET006+0.ax',difference) ).
cnf(17,plain,
( ~ member(X0,X1)
| member(X0,X2)
| member(X0,difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l45,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(intersection(sK5,sK6)))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),difference(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),product(intersection(sK5,sK6)))) ),
inference(instantiation,[status(thm)],[17]) ).
fof(intersection,plain,
! [X,A,B] :
( member(X,intersection(A,B))
<=> ( member(X,A)
& member(X,B) ) ),
file('Axioms/SET006+0.ax',intersection) ).
cnf(10,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l47,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)))
| ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),difference(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),product(intersection(sK5,sK6))))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),difference(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),product(intersection(sK5,sK6))))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(8,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l48,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),difference(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),product(intersection(sK5,sK6)))))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(product,plain,
! [X,A] :
( member(X,product(A))
<=> ! [Y] :
( member(Y,A)
=> member(X,Y) ) ),
file('Axioms/SET006+0.ax',product) ).
cnf(28,plain,
( ~ member(X0,sK4(X0,X1))
| member(X0,product(X1)) ),
inference(cnf,[status(esa)],[product]) ).
cnf(l51,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(15,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l53,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),difference(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),product(intersection(sK5,sK6))))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(26,plain,
( ~ member(X0,product(X1))
| ~ member(X2,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[product]) ).
cnf(l46,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(sK6))
| ~ member(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),sK6)
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(9,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l74,plain,
( ~ member(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),intersection(sK5,sK6))
| member(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),sK6) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l65,plain,
( ~ member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(product(sK5),product(sK6)))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(sK6)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(27,plain,
( member(X0,product(X1))
| member(sK4(X0,X1),X1) ),
inference(cnf,[status(esa)],[product]) ).
cnf(l76,plain,
( member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),product(intersection(sK5,sK6)))
| member(sK4(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(sK5,sK6)),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l66,plain,
( subset(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6)))
| member(sK1(intersection(product(sK5),product(sK6)),product(intersection(sK5,sK6))),intersection(product(sK5),product(sK6))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l45,l47,l48,l51,l53,l46,l74,l65,l76,l66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET702+4 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 22:21:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 1.54/0.62 % launching worker at depth: 12
% 67.95/8.95 % SZS status Theorem for theBenchmark
% 67.95/8.95 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------