%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET013+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 : 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 03:31:05 PM UTC 2025
% Result : Theorem 11.18s 1.72s
% Output : CNFRefutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 25 ~; 25 |; 2 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI06,plain,
! [A,B] : equal_set(intersection(A,B),intersection(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI06) ).
fof(thI06_negated,plain,
~ ! [A,B] : equal_set(intersection(A,B),intersection(B,A)),
inference(negate_conjecture,[status(cth)],[thI06]) ).
cnf(29,plain,
~ equal_set(intersection(sK5,sK6),intersection(sK6,sK5)),
inference(cnf,[status(esa)],[thI06_negated]) ).
cnf(l0,plain,
~ equal_set(intersection(sK5,sK6),intersection(sK6,sK5)),
inference(instantiation,[status(thm)],[29]) ).
fof(equal_set,plain,
! [A,B] :
( equal_set(A,B)
<=> ( subset(A,B)
& subset(B,A) ) ),
file('Axioms/SET006+0.ax',equal_set) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(cnf,[status(esa)],[equal_set]) ).
cnf(l1,plain,
( ~ subset(intersection(sK5,sK6),intersection(sK6,sK5))
| ~ subset(intersection(sK6,sK5),intersection(sK5,sK6))
| equal_set(intersection(sK5,sK6),intersection(sK6,sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l2,plain,
( subset(intersection(sK5,sK6),intersection(sK6,sK5))
| member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( subset(intersection(sK6,sK5),intersection(sK5,sK6))
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK6,sK5)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(intersection,plain,
! [X,A,B] :
( member(X,intersection(A,B))
<=> ( member(X,A)
& member(X,B) ) ),
file('Axioms/SET006+0.ax',intersection) ).
cnf(8,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l61,plain,
( ~ member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),intersection(sK5,sK6))
| member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l76,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK6,sK5))
| ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK5,sK6))
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(intersection(sK6,sK5),intersection(sK5,sK6))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l103,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(intersection(sK6,sK5),intersection(sK5,sK6)))
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l67,plain,
( ~ member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),sK6)
| ~ member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),sK5)
| member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),intersection(sK6,sK5)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l73,plain,
( ~ member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),intersection(sK6,sK5))
| subset(intersection(sK5,sK6),intersection(sK6,sK5)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l68,plain,
( ~ member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),intersection(sK5,sK6))
| member(sK1(intersection(sK5,sK6),intersection(sK6,sK5)),sK6) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l79,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),sK5)
| ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),sK6)
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l104,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK5,sK6))
| subset(intersection(sK6,sK5),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l81,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK6,sK5))
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),sK6) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l82,plain,
( ~ member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),intersection(sK6,sK5))
| member(sK1(intersection(sK6,sK5),intersection(sK5,sK6)),sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l61,l76,l103,l67,l73,l68,l79,l104,l81,l82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET013+4 : TPTP v9.0.0. Released v2.2.0.
% 0.04/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 19:13:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.09/0.29 % launching worker at depth: 11
% 0.13/0.41 % launching worker at depth: 12
% 11.18/1.72 % SZS status Theorem for theBenchmark
% 11.18/1.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------