TSTP Solution File: SET058-7 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET058-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 03:31:56 EDT 2022
% Result : Unsatisfiable 78.88s 79.06s
% Output : CNFRefutation 78.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 9 unt; 2 nHn; 17 RR)
% Number of literals : 32 ( 14 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ) ).
cnf(prove_equality3_1,negated_conjecture,
member(not_subclass_element(y,x),x) ).
cnf(prove_equality3_2,negated_conjecture,
x != y ).
cnf(prove_equality3_3,negated_conjecture,
~ member(not_subclass_element(x,y),x) ).
cnf(refute_0_0,plain,
( ~ member(not_subclass_element(y,x),x)
| subclass(y,x) ),
inference(subst,[],[not_subclass_members2:[bind(X,$fot(y)),bind(Y,$fot(x))]]) ).
cnf(refute_0_1,plain,
subclass(y,x),
inference(resolve,[$cnf( member(not_subclass_element(y,x),x) )],[prove_equality3_1,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ subclass(x,y)
| ~ subclass(y,x)
| y = x ),
inference(subst,[],[subclass_implies_equal:[bind(X,$fot(y)),bind(Y,$fot(x))]]) ).
cnf(refute_0_3,plain,
( ~ subclass(x,y)
| y = x ),
inference(resolve,[$cnf( subclass(y,x) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( member(not_subclass_element(x,y),x)
| subclass(x,y) ),
inference(subst,[],[not_subclass_members1:[bind(X,$fot(x)),bind(Y,$fot(y))]]) ).
cnf(refute_0_5,plain,
subclass(x,y),
inference(resolve,[$cnf( member(not_subclass_element(x,y),x) )],[refute_0_4,prove_equality3_3]) ).
cnf(refute_0_6,plain,
y = x,
inference(resolve,[$cnf( subclass(x,y) )],[refute_0_5,refute_0_3]) ).
cnf(refute_0_7,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_8,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_9,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( y != x
| x = y ),
inference(subst,[],[refute_0_9:[bind(X0,$fot(y)),bind(Y0,$fot(x))]]) ).
cnf(refute_0_11,plain,
y != x,
inference(resolve,[$cnf( $equal(x,y) )],[refute_0_10,prove_equality3_2]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( $equal(y,x) )],[refute_0_6,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET058-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 04:14:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 78.88/79.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.88/79.06
% 78.88/79.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 78.88/79.06
%------------------------------------------------------------------------------