%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET200+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 03:31:47 PM UTC 2025
% Result : Theorem 89.39s 11.56s
% Output : CNFRefutation 89.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 67 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 23 ~; 26 |; 2 &)
% ( 4 <=>; 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 : 40 ( 2 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th34,plain,
! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(union(B,D),union(C,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th34) ).
fof(prove_th34_negated,plain,
~ ! [B,C,D,E] :
( ( subset(B,C)
& subset(D,E) )
=> subset(union(B,D),union(C,E)) ),
inference(negate_conjecture,[status(cth)],[prove_th34]) ).
cnf(16,plain,
~ subset(union(sK3,sK5),union(sK4,sK6)),
inference(cnf,[status(esa)],[prove_th34_negated]) ).
cnf(l0,plain,
~ subset(union(sK3,sK5),union(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(5,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK4,sK6))
| subset(union(sK3,sK5),union(sK4,sK6)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(union_defn,plain,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(0,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[union_defn]) ).
cnf(l2,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),union(union(sK4,sK6),union(sK3,sK5)))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK4,sK6))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK3,sK5)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(equal_member_defn,plain,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(8,plain,
( ~ member(X0,X1)
| X1 != X2
| member(X0,X2) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l8,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),union(union(sK3,sK5),union(sK4,sK6)))
| union(union(sK3,sK5),union(sK4,sK6)) != union(union(sK4,sK6),union(sK3,sK5))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(union(sK4,sK6),union(sK3,sK5))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[union_defn]) ).
cnf(l121,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK3,sK5))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(union(sK3,sK5),union(sK4,sK6))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l125,plain,
( subset(union(sK3,sK5),union(sK4,sK6))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK3,sK5)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK3,sK5))
| member(sK1(union(sK3,sK5),union(sK4,sK6)),sK3)
| member(sK1(union(sK3,sK5),union(sK4,sK6)),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
fof(commutativity_of_union,plain,
! [B,C] : union(B,C) = union(C,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
cnf(6,plain,
union(X0,X1) = union(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
cnf(l17,plain,
union(union(sK4,sK6),union(sK3,sK5)) = union(union(sK3,sK5),union(sK4,sK6)),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l253,plain,
( ~ subset(sK5,sK6)
| ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),sK5)
| member(sK1(union(sK3,sK5),union(sK4,sK6)),sK6) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(15,plain,
subset(sK5,sK6),
inference(cnf,[status(esa)],[prove_th34_negated]) ).
cnf(l254,plain,
subset(sK5,sK6),
inference(instantiation,[status(thm)],[15]) ).
cnf(2,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[union_defn]) ).
cnf(l255,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),sK6)
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK4,sK6)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l251,plain,
( ~ subset(sK3,sK4)
| ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),sK3)
| member(sK1(union(sK3,sK5),union(sK4,sK6)),sK4) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(14,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[prove_th34_negated]) ).
cnf(l252,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[14]) ).
cnf(l258,plain,
( ~ member(sK1(union(sK3,sK5),union(sK4,sK6)),sK4)
| member(sK1(union(sK3,sK5),union(sK4,sK6)),union(sK4,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l121,l125,l7,l17,l253,l254,l255,l251,l252,l258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET200+3 : TPTP v9.0.0. Released v2.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 20:24:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 7
% 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: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 3.95/0.83 % launching worker at depth: 12
% 89.39/11.56 % SZS status Theorem for theBenchmark
% 89.39/11.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------