%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 : 600s
% DateTime : Tue Jul 19 03:32:18 EDT 2022
% Result : Unsatisfiable 5.99s 6.21s
% Output : CNFRefutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair3,axiom,
( ~ member(Y,universal_class)
| member(Y,unordered_pair(X,Y)) ) ).
cnf(singletons_are_sets,axiom,
member(singleton(X),universal_class) ).
cnf(prove_corollary_1_to_singletons_are_sets_1,negated_conjecture,
~ member(singleton(y),unordered_pair(x,singleton(y))) ).
cnf(refute_0_0,plain,
( ~ member(singleton(X),universal_class)
| member(singleton(X),unordered_pair(X_353,singleton(X))) ),
inference(subst,[],[unordered_pair3:[bind(X,$fot(X_353)),bind(Y,$fot(singleton(X)))]]) ).
cnf(refute_0_1,plain,
member(singleton(X),unordered_pair(X_353,singleton(X))),
inference(resolve,[$cnf( member(singleton(X),universal_class) )],[singletons_are_sets,refute_0_0]) ).
cnf(refute_0_2,plain,
member(singleton(y),unordered_pair(x,singleton(y))),
inference(subst,[],[refute_0_1:[bind(X,$fot(y)),bind(X_353,$fot(x))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( member(singleton(y),unordered_pair(x,singleton(y))) )],[refute_0_2,prove_corollary_1_to_singletons_are_sets_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n015.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 18:58:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.99/6.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.99/6.21
% 5.99/6.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.99/6.21
%------------------------------------------------------------------------------