%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET024+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 03:31:10 PM UTC 2025
% Result : Theorem 2.62s 0.68s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 22 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 5 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(set_in_its_singleton,plain,
! [X] :
( member(X,universal_class)
=> member(X,singleton(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
fof(set_in_its_singleton_negated,plain,
~ ! [X] :
( member(X,universal_class)
=> member(X,singleton(X)) ),
inference(negate_conjecture,[status(cth)],[set_in_its_singleton]) ).
cnf(90,plain,
~ member(sK10,singleton(sK10)),
inference(cnf,[status(esa)],[set_in_its_singleton_negated]) ).
cnf(l0,plain,
~ member(sK10,singleton(sK10)),
inference(instantiation,[status(thm)],[90]) ).
fof(singleton_set_defn,plain,
! [X] : singleton(X) = unordered_pair(X,X),
file('Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(12,plain,
singleton(X0) = unordered_pair(X0,X0),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
cnf(l13,plain,
singleton(sK10) = unordered_pair(sK10,sK10),
inference(instantiation,[status(thm)],[12]) ).
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(9,plain,
( ~ member(X0,universal_class)
| X0 != X1
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
cnf(l3,plain,
( ~ member(sK10,universal_class)
| sK10 != sK10
| member(sK10,unordered_pair(sK10,sK10)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(89,plain,
member(sK10,universal_class),
inference(cnf,[status(esa)],[set_in_its_singleton_negated]) ).
cnf(l7,plain,
member(sK10,universal_class),
inference(instantiation,[status(thm)],[89]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l13,l3,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET024+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 19:22:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 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: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 2.62/0.68 % SZS status Theorem for theBenchmark
% 2.62/0.68 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------