TSTP Solution File: LCL384-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 12:51:52 EDT 2022

% Result   : Unsatisfiable 4.18s 4.41s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   61 (  36 unt;   0 nHn;  18 RR)
%            Number of literals    :   92 (   0 equ;  32 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  167 (  26 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_45,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) ).

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39))
    | ~ is_a_theorem(implies(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39),implies(implies(X_36,X_37),X_39)))
    | is_a_theorem(implies(implies(X_36,X_37),X_39)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39))),bind(Y,$fot(implies(implies(X_36,X_37),X_39)))]]) ).

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)))) )],[cn_1,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
    | is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_27),implies(implies(X,Y),X_27))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_27))]]) ).

cnf(refute_0_4,plain,
    is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_27),implies(implies(X,Y),X_27))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    is_a_theorem(implies(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39),implies(implies(X_36,X_37),X_39))),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(X_38)),bind(X_27,$fot(X_39))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39))
    | is_a_theorem(implies(implies(X_36,X_37),X_39)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_37,X_38),implies(X_36,X_38)),X_39),implies(implies(X_36,X_37),X_39))) )],[refute_0_5,refute_0_0]) ).

cnf(refute_0_7,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_2261,X_2260),X_2260),implies(X_36,X_2260)),implies(implies(not(X_2260),X_2261),implies(X_36,X_2260))))
    | is_a_theorem(implies(implies(X_36,implies(X_2261,X_2260)),implies(implies(not(X_2260),X_2261),implies(X_36,X_2260)))) ),
    inference(subst,[],[refute_0_6:[bind(X_37,$fot(implies(X_2261,X_2260))),bind(X_38,$fot(X_2260)),bind(X_39,$fot(implies(implies(not(X_2260),X_2261),implies(X_36,X_2260))))]]) ).

cnf(refute_0_8,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(not(X_60),X_60),X_61),X_59),implies(implies(X_60,X_61),X_59)))
    | ~ is_a_theorem(implies(implies(implies(not(X_60),X_60),X_61),X_59))
    | is_a_theorem(implies(implies(X_60,X_61),X_59)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(not(X_60),X_60),X_61),X_59))),bind(Y,$fot(implies(implies(X_60,X_61),X_59)))]]) ).

cnf(refute_0_9,plain,
    ( ~ is_a_theorem(implies(implies(X_31,X_32),implies(implies(not(X_31),X_31),X_32)))
    | is_a_theorem(implies(implies(implies(implies(not(X_31),X_31),X_32),Z),implies(implies(X_31,X_32),Z))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X_31,X_32))),bind(Y,$fot(implies(implies(not(X_31),X_31),X_32)))]]) ).

cnf(refute_0_10,plain,
    is_a_theorem(implies(implies(not(X_26),X_26),X_26)),
    inference(subst,[],[cn_2:[bind(X,$fot(X_26))]]) ).

cnf(refute_0_11,plain,
    ( ~ is_a_theorem(implies(implies(not(X_26),X_26),X_26))
    | is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X_26),X_26))),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).

cnf(refute_0_12,plain,
    is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_26),X_26),X_26)) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    is_a_theorem(implies(implies(X_31,X_32),implies(implies(not(X_31),X_31),X_32))),
    inference(subst,[],[refute_0_12:[bind(X_26,$fot(X_31)),bind(X_27,$fot(X_32))]]) ).

cnf(refute_0_14,plain,
    is_a_theorem(implies(implies(implies(implies(not(X_31),X_31),X_32),Z),implies(implies(X_31,X_32),Z))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_31,X_32),implies(implies(not(X_31),X_31),X_32))) )],[refute_0_13,refute_0_9]) ).

cnf(refute_0_15,plain,
    is_a_theorem(implies(implies(implies(implies(not(X_60),X_60),X_61),X_59),implies(implies(X_60,X_61),X_59))),
    inference(subst,[],[refute_0_14:[bind(Z,$fot(X_59)),bind(X_31,$fot(X_60)),bind(X_32,$fot(X_61))]]) ).

cnf(refute_0_16,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X_60),X_60),X_61),X_59))
    | is_a_theorem(implies(implies(X_60,X_61),X_59)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_60),X_60),X_61),X_59),implies(implies(X_60,X_61),X_59))) )],[refute_0_15,refute_0_8]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(implies(implies(X_1818,X_1816),X_1816)),implies(implies(X_1818,X_1816),X_1816)),X_1815),implies(implies(not(X_1816),X_1818),X_1815)))
    | is_a_theorem(implies(implies(implies(implies(X_1818,X_1816),X_1816),X_1815),implies(implies(not(X_1816),X_1818),X_1815))) ),
    inference(subst,[],[refute_0_16:[bind(X_59,$fot(implies(implies(not(X_1816),X_1818),X_1815))),bind(X_60,$fot(implies(implies(X_1818,X_1816),X_1816))),bind(X_61,$fot(X_1815))]]) ).

cnf(refute_0_18,plain,
    ( ~ is_a_theorem(implies(implies(not(X_1682),X_1684),implies(X_1683,implies(implies(X_1684,X_1682),X_1682))))
    | is_a_theorem(implies(implies(implies(X_1683,implies(implies(X_1684,X_1682),X_1682)),Z),implies(implies(not(X_1682),X_1684),Z))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X_1682),X_1684))),bind(Y,$fot(implies(X_1683,implies(implies(X_1684,X_1682),X_1682))))]]) ).

cnf(refute_0_19,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_37,X_1452),implies(not(X_1452),X_1452)),implies(X_1453,implies(implies(X_37,X_1452),X_1452))))
    | is_a_theorem(implies(implies(not(X_1452),X_37),implies(X_1453,implies(implies(X_37,X_1452),X_1452)))) ),
    inference(subst,[],[refute_0_6:[bind(X_36,$fot(not(X_1452))),bind(X_38,$fot(X_1452)),bind(X_39,$fot(implies(X_1453,implies(implies(X_37,X_1452),X_1452))))]]) ).

cnf(refute_0_20,plain,
    ( ~ is_a_theorem(implies(X_170,implies(not(implies(implies(not(X_168),X_168),X_168)),X_169)))
    | is_a_theorem(implies(implies(implies(not(implies(implies(not(X_168),X_168),X_168)),X_169),Z),implies(X_170,Z))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_170)),bind(Y,$fot(implies(not(implies(implies(not(X_168),X_168),X_168)),X_169)))]]) ).

cnf(refute_0_21,plain,
    is_a_theorem(implies(X_6,implies(not(X_6),Y))),
    inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_22,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_23,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_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( ~ is_a_theorem(implies(implies(not(X),X),X))
    | is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)) ),
    inference(subst,[],[refute_0_23:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(not(X),X),X)))]]) ).

cnf(refute_0_25,plain,
    is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),X),X)) )],[cn_2,refute_0_24]) ).

cnf(refute_0_26,plain,
    is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26)),
    inference(subst,[],[refute_0_25:[bind(X_9,$fot(X_26))]]) ).

cnf(refute_0_27,plain,
    ( ~ is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26))
    | is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(implies(not(X),X),X)),X_27))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(implies(not(X),X),X)))),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).

cnf(refute_0_28,plain,
    is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(implies(not(X),X),X)),X_27))),
    inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    is_a_theorem(implies(implies(not(X_120),X_119),implies(not(implies(implies(not(X),X),X)),X_119))),
    inference(subst,[],[refute_0_28:[bind(X_26,$fot(not(X_120))),bind(X_27,$fot(X_119))]]) ).

cnf(refute_0_30,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X_34),X_33),X_35),implies(X_34,X_35)))
    | ~ is_a_theorem(implies(implies(not(X_34),X_33),X_35))
    | is_a_theorem(implies(X_34,X_35)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_34),X_33),X_35))),bind(Y,$fot(implies(X_34,X_35)))]]) ).

cnf(refute_0_31,plain,
    is_a_theorem(implies(X_25,implies(not(X_25),Y))),
    inference(subst,[],[cn_3:[bind(X,$fot(X_25))]]) ).

cnf(refute_0_32,plain,
    ( ~ is_a_theorem(implies(X_25,implies(not(X_25),Y)))
    | is_a_theorem(implies(implies(implies(not(X_25),Y),X_27),implies(X_25,X_27))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_25)),bind(Y,$fot(implies(not(X_25),Y))),bind(Z,$fot(X_27))]]) ).

cnf(refute_0_33,plain,
    is_a_theorem(implies(implies(implies(not(X_25),Y),X_27),implies(X_25,X_27))),
    inference(resolve,[$cnf( is_a_theorem(implies(X_25,implies(not(X_25),Y))) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    is_a_theorem(implies(implies(implies(not(X_34),X_33),X_35),implies(X_34,X_35))),
    inference(subst,[],[refute_0_33:[bind(Y,$fot(X_33)),bind(X_25,$fot(X_34)),bind(X_27,$fot(X_35))]]) ).

cnf(refute_0_35,plain,
    ( ~ is_a_theorem(implies(implies(not(X_34),X_33),X_35))
    | is_a_theorem(implies(X_34,X_35)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_34),X_33),X_35),implies(X_34,X_35))) )],[refute_0_34,refute_0_30]) ).

cnf(refute_0_36,plain,
    ( ~ is_a_theorem(implies(implies(not(X_120),X_119),implies(not(implies(implies(not(X),X),X)),X_119)))
    | is_a_theorem(implies(X_120,implies(not(implies(implies(not(X),X),X)),X_119))) ),
    inference(subst,[],[refute_0_35:[bind(X_33,$fot(X_119)),bind(X_34,$fot(X_120)),bind(X_35,$fot(implies(not(implies(implies(not(X),X),X)),X_119)))]]) ).

cnf(refute_0_37,plain,
    is_a_theorem(implies(X_120,implies(not(implies(implies(not(X),X),X)),X_119))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_120),X_119),implies(not(implies(implies(not(X),X),X)),X_119))) )],[refute_0_29,refute_0_36]) ).

cnf(refute_0_38,plain,
    is_a_theorem(implies(X_170,implies(not(implies(implies(not(X_168),X_168),X_168)),X_169))),
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_168)),bind(X_119,$fot(X_169)),bind(X_120,$fot(X_170))]]) ).

cnf(refute_0_39,plain,
    is_a_theorem(implies(implies(implies(not(implies(implies(not(X_168),X_168),X_168)),X_169),Z),implies(X_170,Z))),
    inference(resolve,[$cnf( is_a_theorem(implies(X_170,implies(not(implies(implies(not(X_168),X_168),X_168)),X_169))) )],[refute_0_38,refute_0_20]) ).

cnf(refute_0_40,plain,
    is_a_theorem(implies(implies(implies(not(implies(implies(not(X_168),X_168),X_168)),implies(implies(not(X_168),X_168),X_168)),X_685),implies(X_170,X_685))),
    inference(subst,[],[refute_0_39:[bind(Z,$fot(X_685)),bind(X_169,$fot(implies(implies(not(X_168),X_168),X_168)))]]) ).

cnf(refute_0_41,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_168),X_168),X_168)),implies(implies(not(X_168),X_168),X_168)),X_685),implies(X_170,X_685)))
    | is_a_theorem(implies(implies(implies(implies(not(X_168),X_168),X_168),X_685),implies(X_170,X_685))) ),
    inference(subst,[],[refute_0_16:[bind(X_59,$fot(implies(X_170,X_685))),bind(X_60,$fot(implies(implies(not(X_168),X_168),X_168))),bind(X_61,$fot(X_685))]]) ).

cnf(refute_0_42,plain,
    is_a_theorem(implies(implies(implies(implies(not(X_168),X_168),X_168),X_685),implies(X_170,X_685))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_168),X_168),X_168)),implies(implies(not(X_168),X_168),X_168)),X_685),implies(X_170,X_685))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    is_a_theorem(implies(implies(implies(implies(not(X_1440),X_1440),X_1440),implies(X_1438,X_1440)),implies(X_170,implies(X_1438,X_1440)))),
    inference(subst,[],[refute_0_42:[bind(X_168,$fot(X_1440)),bind(X_685,$fot(implies(X_1438,X_1440)))]]) ).

cnf(refute_0_44,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(not(X_1440),X_1440),X_1440),implies(X_1438,X_1440)),implies(X_170,implies(X_1438,X_1440))))
    | is_a_theorem(implies(implies(X_1438,implies(not(X_1440),X_1440)),implies(X_170,implies(X_1438,X_1440)))) ),
    inference(subst,[],[refute_0_6:[bind(X_36,$fot(X_1438)),bind(X_37,$fot(implies(not(X_1440),X_1440))),bind(X_38,$fot(X_1440)),bind(X_39,$fot(implies(X_170,implies(X_1438,X_1440))))]]) ).

cnf(refute_0_45,plain,
    is_a_theorem(implies(implies(X_1438,implies(not(X_1440),X_1440)),implies(X_170,implies(X_1438,X_1440)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_1440),X_1440),X_1440),implies(X_1438,X_1440)),implies(X_170,implies(X_1438,X_1440)))) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    is_a_theorem(implies(implies(implies(X_37,X_1452),implies(not(X_1452),X_1452)),implies(X_1453,implies(implies(X_37,X_1452),X_1452)))),
    inference(subst,[],[refute_0_45:[bind(X_1438,$fot(implies(X_37,X_1452))),bind(X_1440,$fot(X_1452)),bind(X_170,$fot(X_1453))]]) ).

cnf(refute_0_47,plain,
    is_a_theorem(implies(implies(not(X_1452),X_37),implies(X_1453,implies(implies(X_37,X_1452),X_1452)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_37,X_1452),implies(not(X_1452),X_1452)),implies(X_1453,implies(implies(X_37,X_1452),X_1452)))) )],[refute_0_46,refute_0_19]) ).

cnf(refute_0_48,plain,
    is_a_theorem(implies(implies(not(X_1682),X_1684),implies(X_1683,implies(implies(X_1684,X_1682),X_1682)))),
    inference(subst,[],[refute_0_47:[bind(X_1452,$fot(X_1682)),bind(X_1453,$fot(X_1683)),bind(X_37,$fot(X_1684))]]) ).

cnf(refute_0_49,plain,
    is_a_theorem(implies(implies(implies(X_1683,implies(implies(X_1684,X_1682),X_1682)),Z),implies(implies(not(X_1682),X_1684),Z))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_1682),X_1684),implies(X_1683,implies(implies(X_1684,X_1682),X_1682)))) )],[refute_0_48,refute_0_18]) ).

cnf(refute_0_50,plain,
    is_a_theorem(implies(implies(implies(not(implies(implies(X_1818,X_1816),X_1816)),implies(implies(X_1818,X_1816),X_1816)),X_1815),implies(implies(not(X_1816),X_1818),X_1815))),
    inference(subst,[],[refute_0_49:[bind(Z,$fot(X_1815)),bind(X_1682,$fot(X_1816)),bind(X_1683,$fot(not(implies(implies(X_1818,X_1816),X_1816)))),bind(X_1684,$fot(X_1818))]]) ).

cnf(refute_0_51,plain,
    is_a_theorem(implies(implies(implies(implies(X_1818,X_1816),X_1816),X_1815),implies(implies(not(X_1816),X_1818),X_1815))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(X_1818,X_1816),X_1816)),implies(implies(X_1818,X_1816),X_1816)),X_1815),implies(implies(not(X_1816),X_1818),X_1815))) )],[refute_0_50,refute_0_17]) ).

cnf(refute_0_52,plain,
    is_a_theorem(implies(implies(implies(implies(X_2261,X_2260),X_2260),implies(X_36,X_2260)),implies(implies(not(X_2260),X_2261),implies(X_36,X_2260)))),
    inference(subst,[],[refute_0_51:[bind(X_1815,$fot(implies(X_36,X_2260))),bind(X_1816,$fot(X_2260)),bind(X_1818,$fot(X_2261))]]) ).

cnf(refute_0_53,plain,
    is_a_theorem(implies(implies(X_36,implies(X_2261,X_2260)),implies(implies(not(X_2260),X_2261),implies(X_36,X_2260)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_2261,X_2260),X_2260),implies(X_36,X_2260)),implies(implies(not(X_2260),X_2261),implies(X_36,X_2260)))) )],[refute_0_52,refute_0_7]) ).

cnf(refute_0_54,plain,
    is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
    inference(subst,[],[refute_0_53:[bind(X_2260,$fot(z)),bind(X_2261,$fot(y)),bind(X_36,$fot(x))]]) ).

cnf(refute_0_55,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) )],[refute_0_54,prove_cn_45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n003.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 : Sun Jul  3 12:32:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.18/4.41  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/4.41  
% 4.18/4.41  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.25/4.41  
%------------------------------------------------------------------------------