TSTP Solution File: SET025-7 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET025-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 03:31:27 EDT 2022
% Result : Unsatisfiable 0.22s 0.47s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 3 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ).
cnf(prove_ordered_pair_is_set_1,negated_conjecture,
~ member(ordered_pair(x,y),universal_class) ).
cnf(refute_0_0,plain,
member(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),universal_class),
inference(subst,[],[unordered_pairs_in_universal:[bind(X,$fot(singleton(X_24))),bind(Y,$fot(unordered_pair(X_24,singleton(X_25))))]]) ).
cnf(refute_0_1,plain,
unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))) = ordered_pair(X_24,X_25),
inference(subst,[],[ordered_pair:[bind(X,$fot(X_24)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_2,plain,
( unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))) != ordered_pair(X_24,X_25)
| ~ member(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),universal_class)
| member(ordered_pair(X_24,X_25),universal_class) ),
introduced(tautology,[equality,[$cnf( member(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),universal_class) ),[0],$fot(ordered_pair(X_24,X_25))]]) ).
cnf(refute_0_3,plain,
( ~ member(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),universal_class)
| member(ordered_pair(X_24,X_25),universal_class) ),
inference(resolve,[$cnf( $equal(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),ordered_pair(X_24,X_25)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
member(ordered_pair(X_24,X_25),universal_class),
inference(resolve,[$cnf( member(unordered_pair(singleton(X_24),unordered_pair(X_24,singleton(X_25))),universal_class) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
member(ordered_pair(x,y),universal_class),
inference(subst,[],[refute_0_4:[bind(X_24,$fot(x)),bind(X_25,$fot(y))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( member(ordered_pair(x,y),universal_class) )],[refute_0_5,prove_ordered_pair_is_set_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET025-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jul 10 04:26:25 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47
% 0.22/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.47
%------------------------------------------------------------------------------