TSTP Solution File: GRP189-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP189-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 : Sat Jul 16 10:37:54 EDT 2022
% Result : Unsatisfiable 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 29 ( 28 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry_of_lub,axiom,
least_upper_bound(X,Y) = least_upper_bound(Y,X) ).
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X ).
cnf(prove_p38b,negated_conjecture,
greatest_lower_bound(b,least_upper_bound(a,b)) != b ).
cnf(refute_0_0,plain,
greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) = X_14,
inference(subst,[],[glb_absorbtion:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_1,plain,
least_upper_bound(X_15,X_14) = least_upper_bound(X_14,X_15),
inference(subst,[],[symmetry_of_lub:[bind(X,$fot(X_15)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_2,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_3,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_4,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( least_upper_bound(X_15,X_14) != least_upper_bound(X_14,X_15)
| least_upper_bound(X_14,X_15) = least_upper_bound(X_15,X_14) ),
inference(subst,[],[refute_0_4:[bind(X0,$fot(least_upper_bound(X_15,X_14))),bind(Y0,$fot(least_upper_bound(X_14,X_15)))]]) ).
cnf(refute_0_6,plain,
least_upper_bound(X_14,X_15) = least_upper_bound(X_15,X_14),
inference(resolve,[$cnf( $equal(least_upper_bound(X_15,X_14),least_upper_bound(X_14,X_15)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) != X_14
| least_upper_bound(X_14,X_15) != least_upper_bound(X_15,X_14)
| greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)),X_14) ),[0,1],$fot(least_upper_bound(X_15,X_14))]]) ).
cnf(refute_0_8,plain,
( greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)) != X_14
| greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(least_upper_bound(X_14,X_15),least_upper_bound(X_15,X_14)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
greatest_lower_bound(X_14,least_upper_bound(X_15,X_14)) = X_14,
inference(resolve,[$cnf( $equal(greatest_lower_bound(X_14,least_upper_bound(X_14,X_15)),X_14) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
greatest_lower_bound(b,least_upper_bound(a,b)) = b,
inference(subst,[],[refute_0_9:[bind(X_14,$fot(b)),bind(X_15,$fot(a))]]) ).
cnf(refute_0_11,plain,
( b != b
| greatest_lower_bound(b,least_upper_bound(a,b)) != b
| greatest_lower_bound(b,least_upper_bound(a,b)) = b ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(b,least_upper_bound(a,b)),b) ),[0,0],$fot(b)]]) ).
cnf(refute_0_12,plain,
( b != b
| greatest_lower_bound(b,least_upper_bound(a,b)) = b ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(b,least_upper_bound(a,b)),b) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
b != b,
inference(resolve,[$cnf( $equal(greatest_lower_bound(b,least_upper_bound(a,b)),b) )],[refute_0_12,prove_p38b]) ).
cnf(refute_0_14,plain,
b = b,
introduced(tautology,[refl,[$fot(b)]]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( $equal(b,b) )],[refute_0_14,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP189-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 14 06:11:42 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.28 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29
% 0.09/0.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.09/0.29
%------------------------------------------------------------------------------