TSTP Solution File: LCL398-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 12:51:58 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 24 ( 14 unt; 0 nHn; 9 RR)
% Number of literals : 38 ( 0 equ; 15 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(prove_cn_64,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,x)),y)) ).
cnf(refute_0_0,plain,
is_a_theorem(implies(X_6,implies(not(X_6),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(X_6)
| ~ is_a_theorem(implies(X_6,implies(not(X_6),Y)))
| is_a_theorem(implies(not(X_6),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6)),bind(Y,$fot(implies(not(X_6),Y)))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(not(X_6),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(not(X_6),Y))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X_96,X_96))
| is_a_theorem(implies(not(implies(X_96,X_96)),Y)) ),
inference(subst,[],[refute_0_2:[bind(X_6,$fot(implies(X_96,X_96)))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(implies(not(X_95),X_95),X_95)),
inference(subst,[],[cn_2:[bind(X,$fot(X_95))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27)))
| ~ is_a_theorem(implies(implies(not(X_26),X_25),X_27))
| is_a_theorem(implies(X_26,X_27)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_26),X_25),X_27))),bind(Y,$fot(implies(X_26,X_27)))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(X_20,implies(not(X_20),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_20))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(X_20,implies(not(X_20),Y)))
| is_a_theorem(implies(implies(implies(not(X_20),Y),X_22),implies(X_20,X_22))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_20)),bind(Y,$fot(implies(not(X_20),Y))),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(implies(not(X_20),Y),X_22),implies(X_20,X_22))),
inference(resolve,[$cnf( is_a_theorem(implies(X_20,implies(not(X_20),Y))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27))),
inference(subst,[],[refute_0_10:[bind(Y,$fot(X_25)),bind(X_20,$fot(X_26)),bind(X_22,$fot(X_27))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(implies(implies(not(X_26),X_25),X_27))
| is_a_theorem(implies(X_26,X_27)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27))) )],[refute_0_11,refute_0_5]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(implies(not(X_95),X_95),X_95))
| is_a_theorem(implies(X_95,X_95)) ),
inference(subst,[],[refute_0_12:[bind(X_25,$fot(X_95)),bind(X_26,$fot(X_95)),bind(X_27,$fot(X_95))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(X_95,X_95)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_95),X_95),X_95)) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(X_96,X_96)),
inference(subst,[],[refute_0_14:[bind(X_95,$fot(X_96))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(not(implies(X_96,X_96)),Y)),
inference(resolve,[$cnf( is_a_theorem(implies(X_96,X_96)) )],[refute_0_15,refute_0_3]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(not(implies(x,x)),y)),
inference(subst,[],[refute_0_16:[bind(Y,$fot(y)),bind(X_96,$fot(x))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(x,x)),y)) )],[refute_0_17,prove_cn_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.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 : Sat Jul 2 22:53:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------