TSTP Solution File: SET054-7 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET054-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 03:31:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ) ).
cnf(prove_subclass_is_reflexive_1,negated_conjecture,
~ subclass(x,x) ).
cnf(refute_0_0,plain,
( Y != Y
| subclass(Y,Y) ),
inference(subst,[],[equal_implies_subclass1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_2,plain,
subclass(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
subclass(x,x),
inference(subst,[],[refute_0_2:[bind(Y,$fot(x))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( subclass(x,x) )],[refute_0_3,prove_subclass_is_reflexive_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET054-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n003.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 : 600
% 0.13/0.33 % DateTime : Sun Jul 10 06:26:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------