%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET813+4 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 03:32:43 PM UTC 2025
% Result : Theorem 100.26s 12.93s
% Output : CNFRefutation 100.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 46 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 41 ( 18 ~; 16 |; 1 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thV12,plain,
! [A] :
( member(A,on)
=> member(A,suc(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV12) ).
fof(thV12_negated,plain,
~ ! [A] :
( member(A,on)
=> member(A,suc(A)) ),
inference(negate_conjecture,[status(cth)],[thV12]) ).
cnf(64,plain,
member(sK16,on),
inference(cnf,[status(esa)],[thV12_negated]) ).
cnf(l0,plain,
member(sK16,on),
inference(instantiation,[status(thm)],[64]) ).
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(l1,plain,
( ~ member(sK16,union(sK16,singleton(sK16)))
| ~ member(sK16,on)
| member(sK16,intersection(union(sK16,singleton(sK16)),on)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l95,plain,
( ~ member(sK16,suc(sK16))
| ~ member(sK16,intersection(union(sK16,singleton(sK16)),on))
| member(sK16,intersection(suc(sK16),intersection(union(sK16,singleton(sK16)),on))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(8,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l96,plain,
( ~ member(sK16,intersection(suc(sK16),intersection(union(sK16,singleton(sK16)),on)))
| member(sK16,suc(sK16)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(65,plain,
~ member(sK16,suc(sK16)),
inference(cnf,[status(esa)],[thV12_negated]) ).
cnf(l97,plain,
~ member(sK16,suc(sK16)),
inference(instantiation,[status(thm)],[65]) ).
fof(successor,plain,
! [A,X] :
( member(X,suc(A))
<=> member(X,union(A,singleton(A))) ),
file('Axioms/SET006+4.ax',successor) ).
cnf(63,plain,
( ~ member(X0,union(X1,singleton(X1)))
| member(X0,suc(X1)) ),
inference(cnf,[status(esa)],[successor]) ).
cnf(l141,plain,
( ~ member(sK16,union(sK16,singleton(sK16)))
| member(sK16,suc(sK16)) ),
inference(instantiation,[status(thm)],[63]) ).
fof(union,plain,
! [X,A,B] :
( member(X,union(A,B))
<=> ( member(X,A)
| member(X,B) ) ),
file('Axioms/SET006+0.ax',union) ).
cnf(13,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l26,plain,
( ~ member(sK16,singleton(sK16))
| member(sK16,union(sK16,singleton(sK16))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l147,plain,
( ~ member(sK16,intersection(union(sK16,singleton(sK16)),on))
| member(sK16,union(sK16,singleton(sK16))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(singleton,plain,
! [X,A] :
( member(X,singleton(A))
<=> X = A ),
file('Axioms/SET006+0.ax',singleton) ).
cnf(19,plain,
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf,[status(esa)],[singleton]) ).
cnf(l27,plain,
( sK16 != sK16
| member(sK16,singleton(sK16)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l95,l96,l97,l141,l26,l147,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET813+4 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Jul 21 22:45:04 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.72/0.59 % launching worker at depth: 11
% 100.26/12.93 % SZS status Theorem for theBenchmark
% 100.26/12.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------