TSTP Solution File: LCL065-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 12:49:10 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of clauses : 59 ( 34 unt; 0 nHn; 25 RR)
% Number of literals : 91 ( 0 equ; 33 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 : 120 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X,implies(Y,X))) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ).
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| ~ is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z))))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,implies(Y,Z)))),bind(Y,$fot(implies(implies(X,Y),implies(X,Z))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) )],[cn_35,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(implies(not(X_296),X_296),implies(X_297,X_296)))
| is_a_theorem(implies(implies(implies(not(X_296),X_296),X_297),implies(implies(not(X_296),X_296),X_296))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(not(X_296),X_296))),bind(Y,$fot(X_297)),bind(Z,$fot(X_296))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X_72,implies(not(X_70),not(X_71))))
| ~ is_a_theorem(implies(implies(X_72,implies(not(X_70),not(X_71))),implies(X_72,implies(X_71,X_70))))
| is_a_theorem(implies(X_72,implies(X_71,X_70))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_72,implies(not(X_70),not(X_71))))),bind(Y,$fot(implies(X_72,implies(X_71,X_70))))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(X_7,implies(Y,X_7))),
inference(subst,[],[cn_18:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(X_7)
| ~ is_a_theorem(implies(X_7,implies(Y,X_7)))
| is_a_theorem(implies(Y,X_7)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_7)),bind(Y,$fot(implies(Y,X_7)))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(X_7)
| is_a_theorem(implies(Y,X_7)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_7,implies(Y,X_7))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))
| is_a_theorem(implies(X_9,implies(implies(not(X),not(Y)),implies(Y,X)))) ),
inference(subst,[],[refute_0_6:[bind(Y,$fot(X_9)),bind(X_7,$fot(implies(implies(not(X),not(Y)),implies(Y,X))))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(X_9,implies(implies(not(X),not(Y)),implies(Y,X)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) )],[cn_49,refute_0_7]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X)))),
inference(subst,[],[refute_0_8:[bind(X_9,$fot(X_32))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X))))
| is_a_theorem(implies(implies(X_32,implies(not(X),not(Y))),implies(X_32,implies(Y,X)))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_32)),bind(Y,$fot(implies(not(X),not(Y)))),bind(Z,$fot(implies(Y,X)))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(X_32,implies(not(X),not(Y))),implies(X_32,implies(Y,X)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X)))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(X_72,implies(not(X_70),not(X_71))),implies(X_72,implies(X_71,X_70)))),
inference(subst,[],[refute_0_11:[bind(X,$fot(X_70)),bind(Y,$fot(X_71)),bind(X_32,$fot(X_72))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(X_72,implies(not(X_70),not(X_71))))
| is_a_theorem(implies(X_72,implies(X_71,X_70))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_72,implies(not(X_70),not(X_71))),implies(X_72,implies(X_71,X_70)))) )],[refute_0_12,refute_0_3]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(implies(not(X_295),X_295),implies(not(X_295),not(X_71))))
| is_a_theorem(implies(implies(not(X_295),X_295),implies(X_71,X_295))) ),
inference(subst,[],[refute_0_13:[bind(X_70,$fot(X_295)),bind(X_72,$fot(implies(not(X_295),X_295)))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(not(X_291),implies(X_291,X_290)))
| is_a_theorem(implies(implies(not(X_291),X_291),implies(not(X_291),X_290))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(not(X_291))),bind(Y,$fot(X_291)),bind(Z,$fot(X_290))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(not(X_288),implies(not(X_287),not(X_288)))),
inference(subst,[],[cn_18:[bind(X,$fot(not(X_288))),bind(Y,$fot(not(X_287)))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(not(X_288),implies(not(X_287),not(X_288))))
| is_a_theorem(implies(not(X_288),implies(X_288,X_287))) ),
inference(subst,[],[refute_0_13:[bind(X_70,$fot(X_287)),bind(X_71,$fot(X_288)),bind(X_72,$fot(not(X_288)))]]) ).
cnf(refute_0_18,plain,
is_a_theorem(implies(not(X_288),implies(X_288,X_287))),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_288),implies(not(X_287),not(X_288)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(not(X_291),implies(X_291,X_290))),
inference(subst,[],[refute_0_18:[bind(X_287,$fot(X_290)),bind(X_288,$fot(X_291))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(implies(not(X_291),X_291),implies(not(X_291),X_290))),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_291),implies(X_291,X_290))) )],[refute_0_19,refute_0_15]) ).
cnf(refute_0_21,plain,
is_a_theorem(implies(implies(not(X_295),X_295),implies(not(X_295),not(X_71)))),
inference(subst,[],[refute_0_20:[bind(X_290,$fot(not(X_71))),bind(X_291,$fot(X_295))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(not(X_295),X_295),implies(X_71,X_295))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_295),X_295),implies(not(X_295),not(X_71)))) )],[refute_0_21,refute_0_14]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(implies(not(X_296),X_296),implies(X_297,X_296))),
inference(subst,[],[refute_0_22:[bind(X_295,$fot(X_296)),bind(X_71,$fot(X_297))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(implies(not(X_296),X_296),X_297),implies(implies(not(X_296),X_296),X_296))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_296),X_296),implies(X_297,X_296))) )],[refute_0_23,refute_0_2]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(implies(implies(not(X_296),X_296),implies(not(X_296),X_296)),implies(implies(not(X_296),X_296),X_296))),
inference(subst,[],[refute_0_24:[bind(X_297,$fot(implies(not(X_296),X_296)))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(implies(X_587,X_587),X_588))
| ~ is_a_theorem(implies(implies(implies(X_587,X_587),X_588),X_588))
| is_a_theorem(X_588) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_587,X_587),X_588))),bind(Y,$fot(X_588))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(X_58,X_58))
| is_a_theorem(implies(Y,implies(X_58,X_58))) ),
inference(subst,[],[refute_0_6:[bind(X_7,$fot(implies(X_58,X_58)))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(X_57,implies(implies(not(X),not(Y)),implies(Y,X)))),
inference(subst,[],[refute_0_8:[bind(X_9,$fot(X_57))]]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(X_36,X_35))
| ~ is_a_theorem(implies(implies(X_36,X_35),implies(X_36,X_36)))
| is_a_theorem(implies(X_36,X_36)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_36,X_35))),bind(Y,$fot(implies(X_36,X_36)))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(X_34,implies(X_33,X_34))),
inference(subst,[],[cn_18:[bind(X,$fot(X_34)),bind(Y,$fot(X_33))]]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(implies(X_34,implies(X_33,X_34)))
| is_a_theorem(implies(implies(X_34,X_33),implies(X_34,X_34))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_34)),bind(Y,$fot(X_33)),bind(Z,$fot(X_34))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(X_34,X_33),implies(X_34,X_34))),
inference(resolve,[$cnf( is_a_theorem(implies(X_34,implies(X_33,X_34))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_36,X_35),implies(X_36,X_36))),
inference(subst,[],[refute_0_32:[bind(X_33,$fot(X_35)),bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(X_36,X_35))
| is_a_theorem(implies(X_36,X_36)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_36,X_35),implies(X_36,X_36))) )],[refute_0_33,refute_0_29]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(implies(X_57,implies(implies(not(X),not(Y)),implies(Y,X))))
| is_a_theorem(implies(X_57,X_57)) ),
inference(subst,[],[refute_0_34:[bind(X_35,$fot(implies(implies(not(X),not(Y)),implies(Y,X)))),bind(X_36,$fot(X_57))]]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(X_57,X_57)),
inference(resolve,[$cnf( is_a_theorem(implies(X_57,implies(implies(not(X),not(Y)),implies(Y,X)))) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
is_a_theorem(implies(X_58,X_58)),
inference(subst,[],[refute_0_36:[bind(X_57,$fot(X_58))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(Y,implies(X_58,X_58))),
inference(resolve,[$cnf( is_a_theorem(implies(X_58,X_58)) )],[refute_0_37,refute_0_27]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(implies(implies(X_58,X_58),X_586),implies(X_58,X_58))),
inference(subst,[],[refute_0_38:[bind(Y,$fot(implies(implies(X_58,X_58),X_586)))]]) ).
cnf(refute_0_40,plain,
( ~ is_a_theorem(implies(implies(X_68,X_69),X_68))
| ~ is_a_theorem(implies(implies(implies(X_68,X_69),X_68),implies(implies(X_68,X_69),X_69)))
| is_a_theorem(implies(implies(X_68,X_69),X_69)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_68,X_69),X_68))),bind(Y,$fot(implies(implies(X_68,X_69),X_69)))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(Y,Z),implies(Y,Z)))
| is_a_theorem(implies(implies(implies(Y,Z),Y),implies(implies(Y,Z),Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(Y,Z)))]]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(implies(Y,Z),implies(Y,Z))),
inference(subst,[],[refute_0_36:[bind(X_57,$fot(implies(Y,Z)))]]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(implies(implies(Y,Z),Y),implies(implies(Y,Z),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(Y,Z),implies(Y,Z))) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(X_68,X_69),X_68),implies(implies(X_68,X_69),X_69))),
inference(subst,[],[refute_0_43:[bind(Y,$fot(X_68)),bind(Z,$fot(X_69))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(X_68,X_69),X_68))
| is_a_theorem(implies(implies(X_68,X_69),X_69)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_68,X_69),X_68),implies(implies(X_68,X_69),X_69))) )],[refute_0_44,refute_0_40]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(implies(implies(X_58,X_58),X_586),implies(X_58,X_58)))
| is_a_theorem(implies(implies(implies(X_58,X_58),X_586),X_586)) ),
inference(subst,[],[refute_0_45:[bind(X_68,$fot(implies(X_58,X_58))),bind(X_69,$fot(X_586))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(implies(implies(X_58,X_58),X_586),X_586)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_58,X_58),X_586),implies(X_58,X_58))) )],[refute_0_39,refute_0_46]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(implies(implies(X_587,X_587),X_588),X_588)),
inference(subst,[],[refute_0_47:[bind(X_58,$fot(X_587)),bind(X_586,$fot(X_588))]]) ).
cnf(refute_0_49,plain,
( ~ is_a_theorem(implies(implies(X_587,X_587),X_588))
| is_a_theorem(X_588) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_587,X_587),X_588),X_588)) )],[refute_0_48,refute_0_26]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_296),X_296),implies(not(X_296),X_296)),implies(implies(not(X_296),X_296),X_296)))
| is_a_theorem(implies(implies(not(X_296),X_296),X_296)) ),
inference(subst,[],[refute_0_49:[bind(X_587,$fot(implies(not(X_296),X_296))),bind(X_588,$fot(implies(implies(not(X_296),X_296),X_296)))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(implies(not(X_296),X_296),X_296)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_296),X_296),implies(not(X_296),X_296)),implies(implies(not(X_296),X_296),X_296))) )],[refute_0_25,refute_0_50]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(not(a),a),a)),
inference(subst,[],[refute_0_51:[bind(X_296,$fot(a))]]) ).
cnf(refute_0_53,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(a),a),a)) )],[refute_0_52,prove_cn_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jul 4 00:10:01 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59
% 0.42/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.43/0.60
%------------------------------------------------------------------------------