%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET886+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 03:32:55 PM UTC 2025
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 23 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_zfmisc_1,plain,
! [A,B,C] :
( subset(unordered_pair(A,B),singleton(C))
=> unordered_pair(A,B) = singleton(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_zfmisc_1) ).
fof(t27_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( subset(unordered_pair(A,B),singleton(C))
=> unordered_pair(A,B) = singleton(C) ),
inference(negate_conjecture,[status(cth)],[t27_zfmisc_1]) ).
cnf(5,plain,
subset(unordered_pair(sK3,sK4),singleton(sK5)),
inference(cnf,[status(esa)],[t27_zfmisc_1_negated]) ).
cnf(l0,plain,
subset(unordered_pair(sK3,sK4),singleton(sK5)),
inference(instantiation,[status(thm)],[5]) ).
fof(commutativity_k2_tarski,plain,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
cnf(0,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
cnf(l2,plain,
unordered_pair(sK3,sK4) = unordered_pair(sK4,sK3),
inference(instantiation,[status(thm)],[0]) ).
fof(t26_zfmisc_1,plain,
! [A,B,C] :
( subset(unordered_pair(A,B),singleton(C))
=> A = C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_zfmisc_1) ).
cnf(4,plain,
( ~ subset(unordered_pair(X0,X1),singleton(X2))
| X0 = X2 ),
inference(cnf,[status(esa)],[t26_zfmisc_1]) ).
cnf(l3,plain,
( ~ subset(unordered_pair(sK4,sK3),singleton(sK5))
| sK4 = sK5 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
unordered_pair(sK3,sK4) != singleton(sK5),
inference(cnf,[status(esa)],[t27_zfmisc_1_negated]) ).
cnf(l13,plain,
unordered_pair(sK3,sK4) != singleton(sK5),
inference(instantiation,[status(thm)],[6]) ).
fof(t69_enumset1,plain,
! [A] : unordered_pair(A,A) = singleton(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
cnf(7,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[t69_enumset1]) ).
cnf(l14,plain,
unordered_pair(sK5,sK5) = singleton(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l19,plain,
( ~ subset(unordered_pair(sK3,sK4),singleton(sK5))
| sK3 = sK5 ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l13,l14,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SET886+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.07 % 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 22:59:04 EDT 2025
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % launching worker at depth: 1
% 0.07/0.25 % launching worker at depth: 3
% 0.07/0.25 % launching worker at depth: 8
% 0.07/0.25 % launching worker at depth: 2
% 0.07/0.25 % launching worker at depth: 6
% 0.07/0.25 % launching worker at depth: 7
% 0.07/0.25 % launching worker at depth: 4
% 0.07/0.25 % launching worker at depth: 5
% 0.07/0.25 % launching worker at depth: 9
% 0.07/0.25 % launching worker at depth: 10
% 0.07/0.26 % launching worker at depth: 11
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------