%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET117-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 03:32:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair_is_set,axiom,
member(ordered_pair(X,Y),universal_class) ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_1,negated_conjecture,
ordered_pair(first(x),second(x)) = x ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class) ).
cnf(refute_0_0,plain,
member(ordered_pair(first(x),second(x)),universal_class),
inference(subst,[],[ordered_pair_is_set:[bind(X,$fot(first(x))),bind(Y,$fot(second(x)))]]) ).
cnf(refute_0_1,plain,
( ordered_pair(first(x),second(x)) != x
| ~ member(ordered_pair(first(x),second(x)),universal_class)
| member(x,universal_class) ),
introduced(tautology,[equality,[$cnf( member(ordered_pair(first(x),second(x)),universal_class) ),[0],$fot(x)]]) ).
cnf(refute_0_2,plain,
( ~ member(ordered_pair(first(x),second(x)),universal_class)
| member(x,universal_class) ),
inference(resolve,[$cnf( $equal(ordered_pair(first(x),second(x)),x) )],[prove_corollary_1_to_ordered_pairs_are_sets_1,refute_0_1]) ).
cnf(refute_0_3,plain,
member(x,universal_class),
inference(resolve,[$cnf( member(ordered_pair(first(x),second(x)),universal_class) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( member(x,universal_class) )],[refute_0_3,prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET117-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n029.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 06:21:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46
%------------------------------------------------------------------------------