%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET692+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 : 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 03:32:32 PM UTC 2025
% Result : Theorem 19.35s 2.84s
% Output : CNFRefutation 19.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 1 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 84 ( 35 ~; 40 |; 2 &)
% ( 6 <=>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI19,plain,
! [A,B] :
( equal_set(A,intersection(A,B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI19) ).
fof(thI19_negated,plain,
~ ! [A,B] :
( equal_set(A,intersection(A,B))
<=> subset(A,B) ),
inference(negate_conjecture,[status(cth)],[thI19]) ).
cnf(29,plain,
( subset(sK5,sK6)
| equal_set(sK5,intersection(sK5,sK6)) ),
inference(cnf,[status(esa)],[thI19_negated]) ).
cnf(l0,plain,
( subset(sK5,sK6)
| equal_set(sK5,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(30,plain,
( ~ subset(sK5,sK6)
| ~ equal_set(sK5,intersection(sK5,sK6)) ),
inference(cnf,[status(esa)],[thI19_negated]) ).
cnf(l1,plain,
( ~ subset(sK5,sK6)
| ~ equal_set(sK5,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[30]) ).
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(l6,plain,
( ~ subset(sK5,intersection(sK5,sK6))
| ~ subset(intersection(sK5,sK6),sK5)
| equal_set(sK5,intersection(sK5,sK6)) ),
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(l10,plain,
( subset(sK5,intersection(sK5,sK6))
| member(sK1(sK5,intersection(sK5,sK6)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ subset(sK5,sK6)
| ~ equal_set(sK5,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l53,plain,
( subset(intersection(sK5,sK6),sK5)
| member(sK1(intersection(sK5,sK6),sK5),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l64,plain,
( ~ member(sK1(sK5,sK6),sK6)
| subset(sK5,sK6) ),
inference(instantiation,[status(thm)],[2]) ).
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(l34,plain,
( ~ member(sK1(sK5,intersection(sK5,sK6)),sK5)
| ~ member(sK1(sK5,intersection(sK5,sK6)),sK6)
| member(sK1(sK5,intersection(sK5,sK6)),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l42,plain,
( ~ subset(sK5,sK6)
| ~ member(sK1(sK5,intersection(sK5,sK6)),sK5)
| member(sK1(sK5,intersection(sK5,sK6)),sK6) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l46,plain,
( ~ member(sK1(sK5,intersection(sK5,sK6)),intersection(sK5,sK6))
| subset(sK5,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l234,plain,
( ~ member(sK1(intersection(sK5,sK6),sK5),intersection(sK5,sK6))
| member(sK1(intersection(sK5,sK6),sK5),sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l247,plain,
( ~ member(sK1(intersection(sK5,sK6),sK5),sK5)
| subset(intersection(sK5,sK6),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
fof(union,plain,
! [X,A,B] :
( member(X,union(A,B))
<=> ( member(X,A)
| member(X,B) ) ),
file('Axioms/SET006+0.ax',union) ).
cnf(11,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l65,plain,
( ~ member(sK1(sK5,sK6),union(sK5,sK6))
| member(sK1(sK5,sK6),sK5)
| member(sK1(sK5,sK6),sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l69,plain,
( ~ subset(sK5,intersection(sK5,sK6))
| ~ member(sK1(sK5,sK6),sK5)
| member(sK1(sK5,sK6),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ equal_set(X0,X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[equal_set]) ).
cnf(l71,plain,
( ~ equal_set(sK5,intersection(sK5,sK6))
| subset(sK5,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(12,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l67,plain,
( ~ member(sK1(sK5,sK6),sK5)
| member(sK1(sK5,sK6),union(sK5,sK6)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l73,plain,
( subset(sK5,sK6)
| member(sK1(sK5,sK6),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l301,plain,
( ~ member(sK1(sK5,sK6),intersection(sK5,sK6))
| member(sK1(sK5,sK6),sK6) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l10,l2,l53,l64,l34,l42,l46,l234,l247,l65,l69,l71,l67,l73,l301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET692+4 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 22:20:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 2.33/0.64 % launching worker at depth: 12
% 19.35/2.84 % SZS status Theorem for theBenchmark
% 19.35/2.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------