%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET890+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:32:56 PM UTC 2025
% Result : Theorem 12.69s 1.89s
% Output : CNFRefutation 12.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 64 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 27 |; 2 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t31_zfmisc_1,plain,
! [A] : union(singleton(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_zfmisc_1) ).
fof(t31_zfmisc_1_negated,plain,
~ ! [A] : union(singleton(A)) = A,
inference(negate_conjecture,[status(cth)],[t31_zfmisc_1]) ).
cnf(25,plain,
union(singleton(sK10)) != sK10,
inference(cnf,[status(esa)],[t31_zfmisc_1_negated]) ).
cnf(l0,plain,
union(singleton(sK10)) != sK10,
inference(instantiation,[status(thm)],[25]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(3,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l1,plain,
( ~ subset(union(singleton(sK10)),sK10)
| ~ subset(sK10,union(singleton(sK10)))
| union(singleton(sK10)) = sK10 ),
inference(instantiation,[status(thm)],[3]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(12,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l2,plain,
( ~ in(sK2(union(singleton(sK10)),sK10),sK10)
| subset(union(singleton(sK10)),sK10) ),
inference(instantiation,[status(thm)],[12]) ).
fof(d4_tarski,plain,
! [A,B] :
( B = union(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(C,D)
& in(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
cnf(13,plain,
( ~ in(X0,X1)
| X1 != union(X2)
| in(X0,sK3(X2,X1,X0)) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
cnf(l87,plain,
( ~ in(sK2(union(singleton(sK10)),sK10),union(singleton(sK10)))
| union(singleton(sK10)) != union(singleton(sK10))
| in(sK2(union(singleton(sK10)),sK10),sK3(singleton(sK10),union(singleton(sK10)),sK2(union(singleton(sK10)),sK10))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(11,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l88,plain,
( in(sK2(union(singleton(sK10)),sK10),union(singleton(sK10)))
| subset(union(singleton(sK10)),sK10) ),
inference(instantiation,[status(thm)],[11]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(4,plain,
( ~ in(X0,X1)
| X1 != singleton(X2)
| X0 = X2 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l8,plain,
( ~ in(sK3(singleton(sK10),union(singleton(sK10)),sK2(union(singleton(sK10)),sK10)),singleton(sK10))
| singleton(sK10) != singleton(sK10)
| sK3(singleton(sK10),union(singleton(sK10)),sK2(union(singleton(sK10)),sK10)) = sK10 ),
inference(instantiation,[status(thm)],[4]) ).
fof(l50_zfmisc_1,plain,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
cnf(21,plain,
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf,[status(esa)],[l50_zfmisc_1]) ).
cnf(l3,plain,
( ~ in(sK10,singleton(sK10))
| subset(sK10,union(singleton(sK10))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(14,plain,
( ~ in(X0,X1)
| X1 != union(X2)
| in(sK3(X2,X1,X0),X2) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
cnf(l12,plain,
( ~ in(sK2(union(singleton(sK10)),sK10),union(singleton(sK10)))
| union(singleton(sK10)) != union(singleton(sK10))
| in(sK3(singleton(sK10),union(singleton(sK10)),sK2(union(singleton(sK10)),sK10)),singleton(sK10)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l32,plain,
( in(sK2(union(singleton(sK10)),sK10),union(singleton(sK10)))
| subset(union(singleton(sK10)),sK10) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(5,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l5,plain,
( singleton(sK10) != singleton(sK10)
| sK10 != sK10
| in(sK10,singleton(sK10)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l87,l88,l8,l3,l12,l32,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : SET890+1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % Computer : n018.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon Jul 21 22:59:19 EDT 2025
% 0.11/0.25 % CPUTime :
% 0.11/0.25 % launching worker at depth: 3
% 0.11/0.25 % launching worker at depth: 1
% 0.11/0.25 % launching worker at depth: 4
% 0.11/0.25 % launching worker at depth: 2
% 0.11/0.25 % launching worker at depth: 7
% 0.11/0.25 % launching worker at depth: 5
% 0.11/0.25 % launching worker at depth: 6
% 0.11/0.25 % launching worker at depth: 8
% 0.11/0.25 % launching worker at depth: 9
% 0.11/0.25 % launching worker at depth: 10
% 0.11/0.26 % launching worker at depth: 11
% 0.11/0.30 % launching worker at depth: 12
% 4.28/0.79 % launching worker at depth: 13
% 12.69/1.89 % SZS status Theorem for theBenchmark
% 12.69/1.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------