%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET014+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 : n017.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 03:31:06 PM UTC 2025
% Result : Theorem 16.63s 2.45s
% Output : CNFRefutation 16.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 1 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 88 ( 35 ~; 44 |; 3 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI45,plain,
! [A,X,Y] :
( ( subset(X,A)
& subset(Y,A) )
<=> subset(union(X,Y),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI45) ).
fof(thI45_negated,plain,
~ ! [A,X,Y] :
( ( subset(X,A)
& subset(Y,A) )
<=> subset(union(X,Y),A) ),
inference(negate_conjecture,[status(cth)],[thI45]) ).
cnf(31,plain,
( ~ subset(sK6,sK5)
| ~ subset(union(sK6,sK7),sK5)
| ~ subset(sK7,sK5) ),
inference(cnf,[status(esa)],[thI45_negated]) ).
cnf(l0,plain,
( ~ subset(sK6,sK5)
| ~ subset(union(sK6,sK7),sK5)
| ~ subset(sK7,sK5) ),
inference(instantiation,[status(thm)],[31]) ).
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(l173,plain,
( subset(sK7,sK5)
| member(sK1(sK7,sK5),sK7) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l1,plain,
( ~ member(sK1(sK6,sK5),sK5)
| subset(sK6,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( subset(union(sK6,sK7),sK5)
| member(sK1(union(sK6,sK7),sK5),union(sK6,sK7)) ),
inference(instantiation,[status(thm)],[1]) ).
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(l7,plain,
( ~ member(sK1(union(sK6,sK7),sK5),union(sK6,sK7))
| member(sK1(union(sK6,sK7),sK5),sK6)
| member(sK1(union(sK6,sK7),sK5),sK7) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l117,plain,
( ~ subset(union(sK6,sK7),sK5)
| ~ member(sK1(sK6,sK5),union(sK6,sK7))
| member(sK1(sK6,sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(29,plain,
( subset(sK6,sK5)
| subset(union(sK6,sK7),sK5) ),
inference(cnf,[status(esa)],[thI45_negated]) ).
cnf(l119,plain,
( subset(sK6,sK5)
| subset(union(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l30,plain,
( ~ subset(sK7,sK5)
| ~ member(sK1(union(sK6,sK7),sK5),sK7)
| member(sK1(union(sK6,sK7),sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(30,plain,
( subset(union(sK6,sK7),sK5)
| subset(sK7,sK5) ),
inference(cnf,[status(esa)],[thI45_negated]) ).
cnf(l33,plain,
( subset(union(sK6,sK7),sK5)
| subset(sK7,sK5) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l16,plain,
( ~ subset(sK6,sK5)
| ~ member(sK1(union(sK6,sK7),sK5),sK6)
| member(sK1(union(sK6,sK7),sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
( ~ member(sK1(union(sK6,sK7),sK5),sK5)
| subset(union(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(12,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l133,plain,
( ~ member(sK1(sK6,sK5),sK6)
| member(sK1(sK6,sK5),union(sK6,sK7)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l22,plain,
( subset(sK6,sK5)
| subset(union(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l137,plain,
( subset(sK6,sK5)
| member(sK1(sK6,sK5),sK6) ),
inference(instantiation,[status(thm)],[1]) ).
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(l175,plain,
( ~ member(sK1(sK7,sK5),sK7)
| member(sK1(sK7,sK5),union(sK6,sK7))
| member(sK1(sK7,sK5),difference(sK7,union(sK6,sK7))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l96,plain,
( ~ member(sK1(union(sK6,sK7),sK5),sK5)
| subset(union(sK6,sK7),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(16,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l220,plain,
( ~ member(sK1(sK7,sK5),union(sK6,sK7))
| ~ member(sK1(sK7,sK5),difference(sK7,union(sK6,sK7))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(13,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l225,plain,
( ~ member(sK1(sK7,sK5),sK7)
| member(sK1(sK7,sK5),union(sK6,sK7)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l176,plain,
( ~ subset(union(sK6,sK7),sK5)
| ~ member(sK1(sK7,sK5),union(sK6,sK7))
| member(sK1(sK7,sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l221,plain,
( subset(union(sK6,sK7),sK5)
| subset(sK7,sK5) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l178,plain,
( ~ member(sK1(sK7,sK5),sK5)
| subset(sK7,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l173,l1,l2,l7,l117,l119,l30,l33,l16,l34,l133,l22,l137,l175,l96,l220,l225,l176,l221,l178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET014+4 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 19:14:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.49 % launching worker at depth: 11
% 16.63/2.45 % SZS status Theorem for theBenchmark
% 16.63/2.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------