TSTP Solution File: LCL115-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL115-1 : 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 12:49:41 EDT 2022
% Result : Unsatisfiable 0.55s 0.74s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of clauses : 74 ( 42 unt; 0 nHn; 26 RR)
% Number of literals : 114 ( 0 equ; 41 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 187 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(mv_1,axiom,
is_a_theorem(implies(X,implies(Y,X))) ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ).
cnf(prove_mv_39,negated_conjecture,
~ is_a_theorem(implies(not(implies(a,b)),not(b))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(X_497,X_496),not(X_498)))
| ~ is_a_theorem(implies(implies(implies(X_497,X_496),not(X_498)),implies(X_498,X_497)))
| is_a_theorem(implies(X_498,X_497)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_497,X_496),not(X_498)))),bind(Y,$fot(implies(X_498,X_497)))]]) ).
cnf(refute_0_1,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_2,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[mv_2,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(implies(X_305,X_304),X_303),implies(not(X_305),X_303)))
| is_a_theorem(implies(implies(implies(not(X_305),X_303),Z),implies(implies(implies(X_305,X_304),X_303),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(implies(X_305,X_304),X_303))),bind(Y,$fot(implies(not(X_305),X_303)))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(not(X_257),implies(X_257,X_256)))
| is_a_theorem(implies(implies(implies(X_257,X_256),Z),implies(not(X_257),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(X_257))),bind(Y,$fot(implies(X_257,X_256)))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(X_55,X_56),X_57))
| ~ is_a_theorem(implies(implies(implies(X_55,X_56),X_57),implies(X_56,X_57)))
| is_a_theorem(implies(X_56,X_57)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_55,X_56),X_57))),bind(Y,$fot(implies(X_56,X_57)))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(X_52,implies(Y,X_52))),
inference(subst,[],[mv_1:[bind(X,$fot(X_52))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(X_52,implies(Y,X_52)))
| is_a_theorem(implies(implies(implies(Y,X_52),X_54),implies(X_52,X_54))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(implies(Y,X_52))),bind(Z,$fot(X_54))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(implies(Y,X_52),X_54),implies(X_52,X_54))),
inference(resolve,[$cnf( is_a_theorem(implies(X_52,implies(Y,X_52))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(implies(implies(X_55,X_56),X_57),implies(X_56,X_57))),
inference(subst,[],[refute_0_8:[bind(Y,$fot(X_55)),bind(X_52,$fot(X_56)),bind(X_54,$fot(X_57))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(implies(X_55,X_56),X_57))
| is_a_theorem(implies(X_56,X_57)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_55,X_56),X_57),implies(X_56,X_57))) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))
| is_a_theorem(implies(not(Y),implies(Y,X))) ),
inference(subst,[],[refute_0_10:[bind(X_55,$fot(not(X))),bind(X_56,$fot(not(Y))),bind(X_57,$fot(implies(Y,X)))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(not(Y),implies(Y,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) )],[mv_5,refute_0_11]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(not(X_257),implies(X_257,X_256))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_256)),bind(Y,$fot(X_257))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(implies(X_257,X_256),Z),implies(not(X_257),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_257),implies(X_257,X_256))) )],[refute_0_13,refute_0_4]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(implies(X_305,X_304),X_303),implies(not(X_305),X_303))),
inference(subst,[],[refute_0_14:[bind(Z,$fot(X_303)),bind(X_256,$fot(X_304)),bind(X_257,$fot(X_305))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(implies(not(X_305),X_303),Z),implies(implies(implies(X_305,X_304),X_303),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_305,X_304),X_303),implies(not(X_305),X_303))) )],[refute_0_15,refute_0_3]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(implies(not(X_474),not(X_475)),implies(X_475,X_474)),implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474)))),
inference(subst,[],[refute_0_16:[bind(Z,$fot(implies(X_475,X_474))),bind(X_303,$fot(not(X_475))),bind(X_305,$fot(X_474))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43))
| ~ is_a_theorem(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43))
| is_a_theorem(X_43) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43))),bind(Y,$fot(X_43))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(X_9,implies(Y,X_9))),
inference(subst,[],[mv_1:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(X_9)
| ~ is_a_theorem(implies(X_9,implies(Y,X_9)))
| is_a_theorem(implies(Y,X_9)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_9)),bind(Y,$fot(implies(Y,X_9)))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(X_9)
| is_a_theorem(implies(Y,X_9)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_9,implies(Y,X_9))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))
| is_a_theorem(implies(X_11,implies(implies(not(X),not(Y)),implies(Y,X)))) ),
inference(subst,[],[refute_0_21:[bind(Y,$fot(X_11)),bind(X_9,$fot(implies(implies(not(X),not(Y)),implies(Y,X))))]]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(X_11,implies(implies(not(X),not(Y)),implies(Y,X)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) )],[mv_5,refute_0_22]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X))),implies(implies(not(X),not(Y)),implies(Y,X)))),
inference(subst,[],[refute_0_23:[bind(X_11,$fot(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X)))))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(implies(X,Y),Y))
| ~ is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X)))
| is_a_theorem(implies(implies(Y,X),X)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X,Y),Y))),bind(Y,$fot(implies(implies(Y,X),X)))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(implies(X,Y),Y))
| is_a_theorem(implies(implies(Y,X),X)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) )],[mv_3,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X))),implies(implies(not(X),not(Y)),implies(Y,X))))
| is_a_theorem(implies(implies(implies(implies(not(X),not(Y)),implies(Y,X)),X_32),X_32)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(X_32)),bind(Y,$fot(implies(implies(not(X),not(Y)),implies(Y,X))))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(implies(implies(implies(not(X),not(Y)),implies(Y,X)),X_32),X_32)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_32,implies(implies(not(X),not(Y)),implies(Y,X))),implies(implies(not(X),not(Y)),implies(Y,X)))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43)),
inference(subst,[],[refute_0_28:[bind(X,$fot(X_41)),bind(Y,$fot(X_42)),bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_30,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43))
| is_a_theorem(X_43) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43)) )],[refute_0_29,refute_0_18]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_474),not(X_475)),implies(X_475,X_474)),implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474))))
| is_a_theorem(implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474))) ),
inference(subst,[],[refute_0_30:[bind(X_41,$fot(X_474)),bind(X_42,$fot(X_475)),bind(X_43,$fot(implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474))))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_474),not(X_475)),implies(X_475,X_474)),implies(implies(implies(X_474,X_304),not(X_475)),implies(X_475,X_474)))) )],[refute_0_17,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(implies(X_497,X_496),not(X_498)),implies(X_498,X_497))),
inference(subst,[],[refute_0_32:[bind(X_304,$fot(X_496)),bind(X_474,$fot(X_497)),bind(X_475,$fot(X_498))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(implies(X_497,X_496),not(X_498)))
| is_a_theorem(implies(X_498,X_497)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_497,X_496),not(X_498)),implies(X_498,X_497))) )],[refute_0_33,refute_0_0]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(implies(implies(not(X_1073),not(X_1074)),not(not(implies(X_1074,X_1073)))))
| is_a_theorem(implies(not(implies(X_1074,X_1073)),not(X_1073))) ),
inference(subst,[],[refute_0_34:[bind(X_496,$fot(not(X_1074))),bind(X_497,$fot(not(X_1073))),bind(X_498,$fot(not(implies(X_1074,X_1073))))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(implies(implies(X_67,X_66),X_68))
| ~ is_a_theorem(implies(implies(implies(X_67,X_66),X_68),implies(implies(not(X_66),not(X_67)),X_68)))
| is_a_theorem(implies(implies(not(X_66),not(X_67)),X_68)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_67,X_66),X_68))),bind(Y,$fot(implies(implies(not(X_66),not(X_67)),X_68)))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))
| is_a_theorem(implies(implies(implies(Y,X),X_54),implies(implies(not(X),not(Y)),X_54))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X),not(Y)))),bind(Y,$fot(implies(Y,X))),bind(Z,$fot(X_54))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(implies(implies(Y,X),X_54),implies(implies(not(X),not(Y)),X_54))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) )],[mv_5,refute_0_37]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(implies(implies(X_67,X_66),X_68),implies(implies(not(X_66),not(X_67)),X_68))),
inference(subst,[],[refute_0_38:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(X_54,$fot(X_68))]]) ).
cnf(refute_0_40,plain,
( ~ is_a_theorem(implies(implies(X_67,X_66),X_68))
| is_a_theorem(implies(implies(not(X_66),not(X_67)),X_68)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_67,X_66),X_68),implies(implies(not(X_66),not(X_67)),X_68))) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(X_67,X_66),not(not(implies(X_67,X_66)))))
| is_a_theorem(implies(implies(not(X_66),not(X_67)),not(not(implies(X_67,X_66))))) ),
inference(subst,[],[refute_0_40:[bind(X_68,$fot(not(not(implies(X_67,X_66)))))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(implies(implies(not(not(X_498)),not(implies(X_997,X_997))),not(X_498)))
| is_a_theorem(implies(X_498,not(not(X_498)))) ),
inference(subst,[],[refute_0_34:[bind(X_496,$fot(not(implies(X_997,X_997)))),bind(X_497,$fot(not(not(X_498))))]]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(implies(implies(X,implies(X_255,X_255)),implies(X_255,X_255)))
| is_a_theorem(implies(implies(implies(X_255,X_255),X),X)) ),
inference(subst,[],[refute_0_26:[bind(Y,$fot(implies(X_255,X_255)))]]) ).
cnf(refute_0_44,plain,
( ~ is_a_theorem(implies(X_253,X_253))
| is_a_theorem(implies(Y,implies(X_253,X_253))) ),
inference(subst,[],[refute_0_21:[bind(X_9,$fot(implies(X_253,X_253)))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(X,implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)),implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)))
| is_a_theorem(implies(implies(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161),X),X)) ),
inference(subst,[],[refute_0_26:[bind(Y,$fot(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)))]]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43))
| is_a_theorem(implies(Y,implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43))) ),
inference(subst,[],[refute_0_21:[bind(X_9,$fot(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43)))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(Y,implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_41),not(X_42)),implies(X_42,X_41)),X_43),X_43)) )],[refute_0_29,refute_0_46]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(implies(X,implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)),implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161))),
inference(subst,[],[refute_0_47:[bind(Y,$fot(implies(X,implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)))),bind(X_41,$fot(X_159)),bind(X_42,$fot(X_160)),bind(X_43,$fot(X_161))]]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161),X),X)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161)),implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161))) )],[refute_0_48,refute_0_45]) ).
cnf(refute_0_50,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161),X_252),X_252)),
inference(subst,[],[refute_0_49:[bind(X,$fot(X_252))]]) ).
cnf(refute_0_51,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161),X_252),X_252))
| is_a_theorem(implies(X_252,X_252)) ),
inference(subst,[],[refute_0_10:[bind(X_55,$fot(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161))),bind(X_56,$fot(X_252)),bind(X_57,$fot(X_252))]]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(X_252,X_252)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(not(X_159),not(X_160)),implies(X_160,X_159)),X_161),X_161),X_252),X_252)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(X_253,X_253)),
inference(subst,[],[refute_0_52:[bind(X_252,$fot(X_253))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(Y,implies(X_253,X_253))),
inference(resolve,[$cnf( is_a_theorem(implies(X_253,X_253)) )],[refute_0_53,refute_0_44]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(X,implies(X_255,X_255)),implies(X_255,X_255))),
inference(subst,[],[refute_0_54:[bind(Y,$fot(implies(X,implies(X_255,X_255)))),bind(X_253,$fot(X_255))]]) ).
cnf(refute_0_56,plain,
is_a_theorem(implies(implies(implies(X_255,X_255),X),X)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,implies(X_255,X_255)),implies(X_255,X_255))) )],[refute_0_55,refute_0_43]) ).
cnf(refute_0_57,plain,
is_a_theorem(implies(implies(implies(X_255,X_255),X_996),X_996)),
inference(subst,[],[refute_0_56:[bind(X,$fot(X_996))]]) ).
cnf(refute_0_58,plain,
( ~ is_a_theorem(implies(implies(implies(X_255,X_255),X_996),X_996))
| is_a_theorem(implies(implies(not(X_996),not(implies(X_255,X_255))),X_996)) ),
inference(subst,[],[refute_0_40:[bind(X_66,$fot(X_996)),bind(X_67,$fot(implies(X_255,X_255))),bind(X_68,$fot(X_996))]]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(implies(not(X_996),not(implies(X_255,X_255))),X_996)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_255,X_255),X_996),X_996)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(implies(not(not(X_498)),not(implies(X_997,X_997))),not(X_498))),
inference(subst,[],[refute_0_59:[bind(X_255,$fot(X_997)),bind(X_996,$fot(not(X_498)))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(X_498,not(not(X_498)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(X_498)),not(implies(X_997,X_997))),not(X_498))) )],[refute_0_60,refute_0_42]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(X_67,X_66),not(not(implies(X_67,X_66))))),
inference(subst,[],[refute_0_61:[bind(X_498,$fot(implies(X_67,X_66)))]]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(not(X_66),not(X_67)),not(not(implies(X_67,X_66))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_67,X_66),not(not(implies(X_67,X_66))))) )],[refute_0_62,refute_0_41]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(not(X_1073),not(X_1074)),not(not(implies(X_1074,X_1073))))),
inference(subst,[],[refute_0_63:[bind(X_66,$fot(X_1073)),bind(X_67,$fot(X_1074))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(not(implies(X_1074,X_1073)),not(X_1073))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_1073),not(X_1074)),not(not(implies(X_1074,X_1073))))) )],[refute_0_64,refute_0_35]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(not(implies(a,b)),not(b))),
inference(subst,[],[refute_0_65:[bind(X_1073,$fot(b)),bind(X_1074,$fot(a))]]) ).
cnf(refute_0_67,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(a,b)),not(b))) )],[refute_0_66,prove_mv_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL115-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 13:22:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.55/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74
% 0.55/0.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.55/0.75
%------------------------------------------------------------------------------