%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET102+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 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 03:31:33 PM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 21 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair_member_of_ordered_pair,plain,
! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member_of_ordered_pair) ).
fof(unordered_pair_member_of_ordered_pair_negated,plain,
~ ! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
inference(negate_conjecture,[status(cth)],[unordered_pair_member_of_ordered_pair]) ).
cnf(89,plain,
~ member(unordered_pair(sK10,singleton(sK11)),ordered_pair(sK10,sK11)),
inference(cnf,[status(esa)],[unordered_pair_member_of_ordered_pair_negated]) ).
cnf(l0,plain,
~ member(unordered_pair(sK10,singleton(sK11)),ordered_pair(sK10,sK11)),
inference(instantiation,[status(thm)],[89]) ).
fof(unordered_pair_defn,plain,
! [U,X,Y] :
( member(U,unordered_pair(X,Y))
<=> ( member(U,universal_class)
& ( U = X
| U = Y ) ) ),
file('Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(10,plain,
( ~ member(X0,universal_class)
| X0 != X1
| member(X0,unordered_pair(X2,X1)) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
cnf(l3,plain,
( ~ member(unordered_pair(sK10,singleton(sK11)),universal_class)
| unordered_pair(sK10,singleton(sK11)) != unordered_pair(sK10,singleton(sK11))
| member(unordered_pair(sK10,singleton(sK11)),unordered_pair(singleton(sK10),unordered_pair(sK10,singleton(sK11)))) ),
inference(instantiation,[status(thm)],[10]) ).
fof(unordered_pair,plain,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
file('Axioms/SET005+0.ax',unordered_pair) ).
cnf(11,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pair]) ).
cnf(l6,plain,
member(unordered_pair(sK10,singleton(sK11)),universal_class),
inference(instantiation,[status(thm)],[11]) ).
fof(ordered_pair_defn,plain,
! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
file('Axioms/SET005+0.ax',ordered_pair_defn) ).
cnf(13,plain,
ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf,[status(esa)],[ordered_pair_defn]) ).
cnf(l4,plain,
ordered_pair(sK10,sK11) = unordered_pair(singleton(sK10),unordered_pair(sK10,singleton(sK11))),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l6,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET102+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:55:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------