%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET201+3 : 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 : 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 03:31:48 PM UTC 2025
% Result : Theorem 101.89s 13.14s
% Output : CNFRefutation 101.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 64 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 24 ~; 23 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th41,plain,
! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(intersection(B,D),intersection(C,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th41) ).
fof(prove_th41_negated,plain,
~ ! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(intersection(B,D),intersection(C,E)) ),
inference(negate_conjecture,[status(cth)],[prove_th41]) ).
cnf(16,plain,
~ subset(intersection(sK3,sK5),intersection(sK4,sK6)),
inference(cnf,[status(esa)],[prove_th41_negated]) ).
cnf(l0,plain,
~ subset(intersection(sK3,sK5),intersection(sK4,sK6)),
inference(instantiation,[status(thm)],[16]) ).
fof(subset_defn,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( subset(intersection(sK3,sK5),intersection(sK4,sK6))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK3,sK5)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(intersection_defn,plain,
! [B,C,D] :
( member(D,intersection(B,C))
<=> ( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l3,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK4,sK6))
| ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK3,sK5))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(intersection(sK4,sK6),intersection(sK3,sK5))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l65,plain,
( ~ subset(intersection(intersection(sK4,sK6),intersection(sK3,sK5)),intersection(intersection(sK3,sK5),intersection(sK4,sK6)))
| ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(intersection(sK4,sK6),intersection(sK3,sK5)))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(intersection(sK3,sK5),intersection(sK4,sK6))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l132,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(intersection(sK3,sK5),intersection(sK4,sK6)))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK4,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(reflexivity_of_subset,plain,
! [B] : subset(B,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subset) ).
cnf(7,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_of_subset]) ).
cnf(l67,plain,
subset(intersection(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(intersection(sK3,sK5),intersection(sK4,sK6))),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l133,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK4,sK6))
| subset(intersection(sK3,sK5),intersection(sK4,sK6)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(commutativity_of_intersection,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
cnf(6,plain,
intersection(X0,X1) = intersection(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
cnf(l69,plain,
intersection(intersection(sK3,sK5),intersection(sK4,sK6)) = intersection(intersection(sK4,sK6),intersection(sK3,sK5)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l5,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK4)
| ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK6)
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK4,sK6)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
( ~ subset(sK3,sK4)
| ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK3)
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK4) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l25,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK3,sK5))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[prove_th41_negated]) ).
cnf(l17,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[14]) ).
cnf(l46,plain,
( ~ subset(sK5,sK6)
| ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK5)
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK6) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l49,plain,
( ~ member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),intersection(sK3,sK5))
| member(sK1(intersection(sK3,sK5),intersection(sK4,sK6)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(15,plain,
subset(sK5,sK6),
inference(cnf,[status(esa)],[prove_th41_negated]) ).
cnf(l47,plain,
subset(sK5,sK6),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l65,l132,l67,l133,l69,l5,l16,l25,l17,l46,l49,l47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET201+3 : TPTP v9.0.0. Released v2.2.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 20:24:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.40 % launching worker at depth: 11
% 3.71/0.81 % launching worker at depth: 12
% 101.89/13.14 % SZS status Theorem for theBenchmark
% 101.89/13.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------