%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET199+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 : 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 03:31:47 PM UTC 2025
% Result : Theorem 11.21s 1.77s
% Output : CNFRefutation 11.21s
% 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 : 86 ( 33 ~; 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(thI46,plain,
! [A,X,Y] :
( ( subset(A,X)
& subset(A,Y) )
<=> subset(A,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI46) ).
fof(thI46_negated,plain,
~ ! [A,X,Y] :
( ( subset(A,X)
& subset(A,Y) )
<=> subset(A,intersection(X,Y)) ),
inference(negate_conjecture,[status(cth)],[thI46]) ).
cnf(31,plain,
( ~ subset(sK5,intersection(sK6,sK7))
| ~ subset(sK5,sK6)
| ~ subset(sK5,sK7) ),
inference(cnf,[status(esa)],[thI46_negated]) ).
cnf(l0,plain,
( ~ subset(sK5,intersection(sK6,sK7))
| ~ subset(sK5,sK6)
| ~ subset(sK5,sK7) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(30,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK7) ),
inference(cnf,[status(esa)],[thI46_negated]) ).
cnf(l171,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK7) ),
inference(instantiation,[status(thm)],[30]) ).
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(sK5,intersection(sK6,sK7)),intersection(sK6,sK7))
| subset(sK5,intersection(sK6,sK7)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ member(sK1(sK5,sK6),sK6)
| subset(sK5,sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l172,plain,
( ~ subset(sK5,intersection(sK6,sK7))
| ~ member(sK1(sK5,sK7),sK5)
| member(sK1(sK5,sK7),intersection(sK6,sK7)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l179,plain,
( subset(sK5,sK7)
| member(sK1(sK5,sK7),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(9,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l180,plain,
( ~ member(sK1(sK5,sK7),intersection(sK6,sK7))
| member(sK1(sK5,sK7),sK7) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(10,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l71,plain,
( ~ member(sK1(sK5,intersection(sK6,sK7)),sK6)
| ~ member(sK1(sK5,intersection(sK6,sK7)),sK7)
| member(sK1(sK5,intersection(sK6,sK7)),intersection(sK6,sK7)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l190,plain,
( ~ member(sK1(sK5,sK7),sK7)
| subset(sK5,sK7) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l72,plain,
( ~ subset(sK5,sK6)
| ~ member(sK1(sK5,intersection(sK6,sK7)),sK5)
| member(sK1(sK5,intersection(sK6,sK7)),sK6) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l84,plain,
( ~ subset(sK5,sK7)
| ~ member(sK1(sK5,intersection(sK6,sK7)),sK5)
| member(sK1(sK5,intersection(sK6,sK7)),sK7) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l85,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK7) ),
inference(instantiation,[status(thm)],[30]) ).
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(l48,plain,
( ~ member(sK1(sK5,sK6),union(sK6,sK5))
| member(sK1(sK5,sK6),sK6)
| member(sK1(sK5,sK6),sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l83,plain,
( subset(sK5,intersection(sK6,sK7))
| member(sK1(sK5,intersection(sK6,sK7)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(29,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK6) ),
inference(cnf,[status(esa)],[thI46_negated]) ).
cnf(l75,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK6) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l93,plain,
( subset(sK5,intersection(sK6,sK7))
| member(sK1(sK5,intersection(sK6,sK7)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l49,plain,
( ~ member(sK1(sK5,sK6),sK5)
| member(sK1(sK5,sK6),union(sK6,sK5)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l100,plain,
( ~ subset(sK5,intersection(sK6,sK7))
| ~ member(sK1(sK5,sK6),sK5)
| member(sK1(sK5,sK6),intersection(sK6,sK7)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l52,plain,
( subset(sK5,sK6)
| member(sK1(sK5,sK6),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l163,plain,
( subset(sK5,intersection(sK6,sK7))
| subset(sK5,sK6) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(8,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l192,plain,
( ~ member(sK1(sK5,sK6),intersection(sK6,sK7))
| member(sK1(sK5,sK6),sK6) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l171,l1,l2,l172,l179,l180,l71,l190,l72,l84,l85,l48,l83,l75,l93,l49,l100,l52,l163,l192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SET199+4 : TPTP v9.0.0. Released v2.2.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.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 20:24:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.46 % launching worker at depth: 11
% 11.21/1.77 % SZS status Theorem for theBenchmark
% 11.21/1.77 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------