TSTP Solution File: LCL043-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 12:49:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 28 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X,implies(Y,X))) ).
cnf(cn_54,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ).
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)) ).
cnf(refute_0_0,plain,
is_a_theorem(implies(not(X_266),implies(not(not(X_266)),X_266))),
inference(subst,[],[cn_3:[bind(X,$fot(not(X_266))),bind(Y,$fot(X_266))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(not(X_33),implies(X_32,X_33)),implies(X_32,X_33)))
| ~ is_a_theorem(implies(not(X_33),implies(X_32,X_33)))
| is_a_theorem(implies(X_32,X_33)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(X_33),implies(X_32,X_33)))),bind(Y,$fot(implies(X_32,X_33)))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(implies(X_28,implies(Y,X_28))),
inference(subst,[],[cn_18:[bind(X,$fot(X_28))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y)))
| is_a_theorem(implies(implies(not(X),Y),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(not(X),Y),Y)))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(not(X),Y),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) )],[cn_54,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(X_28,implies(Y,X_28)))
| is_a_theorem(implies(implies(not(X_28),implies(Y,X_28)),implies(Y,X_28))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_28)),bind(Y,$fot(implies(Y,X_28)))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(not(X_28),implies(Y,X_28)),implies(Y,X_28))),
inference(resolve,[$cnf( is_a_theorem(implies(X_28,implies(Y,X_28))) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
is_a_theorem(implies(implies(not(X_33),implies(X_32,X_33)),implies(X_32,X_33))),
inference(subst,[],[refute_0_6:[bind(Y,$fot(X_32)),bind(X_28,$fot(X_33))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(not(X_33),implies(X_32,X_33)))
| is_a_theorem(implies(X_32,X_33)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_33),implies(X_32,X_33)),implies(X_32,X_33))) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(not(X_266),implies(not(not(X_266)),X_266)))
| is_a_theorem(implies(not(not(X_266)),X_266)) ),
inference(subst,[],[refute_0_8:[bind(X_32,$fot(not(not(X_266)))),bind(X_33,$fot(X_266))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(not(not(X_266)),X_266)),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_266),implies(not(not(X_266)),X_266))) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(not(not(a)),a)),
inference(subst,[],[refute_0_10:[bind(X_266,$fot(a))]]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(not(not(a)),a)) )],[refute_0_11,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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
% 0.12/0.33 % DateTime : Tue Jul 5 00:07:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.43
%------------------------------------------------------------------------------