TSTP Solution File: LCL128-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:49:47 EDT 2022
% Result : Unsatisfiable 4.05s 4.25s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of clauses : 109 ( 62 unt; 0 nHn; 30 RR)
% Number of literals : 167 ( 0 equ; 59 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 466 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(s_3,axiom,
is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17)))
| is_a_theorem(equivalent(X_18,X_17)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)))),bind(Y,$fot(equivalent(X_18,X_17)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))))
| ~ is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))),equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))))
| is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))))),bind(Y,$fot(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))))
| is_a_theorem(equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3)),bind(Y,$fot(equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))))]]) ).
cnf(refute_0_3,plain,
is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2))))),
inference(subst,[],[s_3:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(X_3)
| is_a_theorem(equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2))))) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))
| is_a_theorem(equivalent(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_6,X_9)),equivalent(X_8,X_6)))) ),
inference(subst,[],[refute_0_4:[bind(X_2,$fot(X_6)),bind(X_3,$fot(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))),bind(X_4,$fot(X_8)),bind(X_5,$fot(X_9))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_6,X_9)),equivalent(X_8,X_6)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) )],[s_3,refute_0_5]) ).
cnf(refute_0_7,plain,
is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))),equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14)))),
inference(subst,[],[refute_0_6:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(Z,$fot(X_13)),bind(X_6,$fot(X_14)),bind(X_8,$fot(X_15)),bind(X_9,$fot(X_16))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10)))),equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14)))) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10))))),
inference(subst,[],[s_3:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(equivalent(X_12,X_13),equivalent(X_10,X_13)),equivalent(X_12,X_10))))) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17))),
inference(subst,[],[refute_0_10:[bind(X_14,$fot(X_17)),bind(X_15,$fot(X_18)),bind(X_16,$fot(X_19))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)))
| is_a_theorem(equivalent(X_18,X_17)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17))) )],[refute_0_11,refute_0_0]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(equivalent(equivalent(X_5006,equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))),equivalent(equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))),equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003)))))
| is_a_theorem(equivalent(X_5006,equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))))),bind(X_18,$fot(X_5006)),bind(X_19,$fot(equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))))]]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(equivalent(equivalent(X_4472,equivalent(X_4476,X_4476)),equivalent(equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)),equivalent(X_4476,X_4476))))
| is_a_theorem(equivalent(X_4472,equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))),bind(X_18,$fot(X_4472)),bind(X_19,$fot(equivalent(X_4476,X_4476)))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144),equivalent(equivalent(X_142,X_141),X_144)))
| is_a_theorem(equivalent(equivalent(X_142,X_141),X_144)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144))),bind(Y,$fot(equivalent(equivalent(X_142,X_141),X_144)))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(equivalent(X_52,X_51))
| ~ is_a_theorem(equivalent(equivalent(X_52,X_51),equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53))))
| is_a_theorem(equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_52,X_51))),bind(Y,$fot(equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53))))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_47,X_46),equivalent(X_47,X_46)),equivalent(equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)),equivalent(X_47,X_46))))
| is_a_theorem(equivalent(equivalent(X_47,X_46),equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)))),bind(X_18,$fot(equivalent(X_47,X_46))),bind(X_19,$fot(equivalent(X_47,X_46)))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44)))
| is_a_theorem(equivalent(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))) ),
inference(subst,[],[refute_0_4:[bind(X_3,$fot(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44))))]]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42))))
| is_a_theorem(equivalent(equivalent(X_41,X_42),equivalent(X_41,X_42))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(X_41,X_42))),bind(X_18,$fot(equivalent(X_41,X_42))),bind(X_19,$fot(equivalent(X_40,X_42)))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)),equivalent(X_37,X_36)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36))))
| is_a_theorem(equivalent(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)),equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)))),bind(X_18,$fot(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)))),bind(X_19,$fot(equivalent(X_37,X_36)))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))) ),
inference(subst,[],[refute_0_4:[bind(X_3,$fot(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17))))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_17,X_19)),equivalent(X_18,X_17))) )],[refute_0_11,refute_0_21]) ).
cnf(refute_0_23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)),equivalent(X_37,X_36)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36)))),
inference(subst,[],[refute_0_22:[bind(X_17,$fot(X_36)),bind(X_18,$fot(X_37)),bind(X_19,$fot(X_35)),bind(X_2,$fot(X_36)),bind(X_4,$fot(X_37)),bind(X_5,$fot(X_38))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)),equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,X_35),equivalent(X_36,X_35)),equivalent(X_37,X_36)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36)))) )],[refute_0_23,refute_0_20]) ).
cnf(refute_0_25,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)))),
inference(subst,[],[refute_0_24:[bind(X_35,$fot(X_42)),bind(X_36,$fot(X_40)),bind(X_37,$fot(X_41)),bind(X_38,$fot(X_42))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(equivalent(equivalent(X_41,X_42),equivalent(X_41,X_42))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)))) )],[refute_0_25,refute_0_19]) ).
cnf(refute_0_27,plain,
is_a_theorem(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44))),
inference(subst,[],[refute_0_26:[bind(X_41,$fot(X_43)),bind(X_42,$fot(X_44))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44))) )],[refute_0_27,refute_0_18]) ).
cnf(refute_0_29,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_47,X_46),equivalent(X_47,X_46)),equivalent(equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)),equivalent(X_47,X_46)))),
inference(subst,[],[refute_0_28:[bind(X_2,$fot(X_46)),bind(X_4,$fot(X_47)),bind(X_43,$fot(X_47)),bind(X_44,$fot(X_46)),bind(X_5,$fot(X_50))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(equivalent(equivalent(X_47,X_46),equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_47,X_46),equivalent(X_47,X_46)),equivalent(equivalent(equivalent(X_47,X_50),equivalent(X_46,X_50)),equivalent(X_47,X_46)))) )],[refute_0_29,refute_0_17]) ).
cnf(refute_0_31,plain,
is_a_theorem(equivalent(equivalent(X_52,X_51),equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53)))),
inference(subst,[],[refute_0_30:[bind(X_46,$fot(X_51)),bind(X_47,$fot(X_52)),bind(X_50,$fot(X_53))]]) ).
cnf(refute_0_32,plain,
( ~ is_a_theorem(equivalent(X_52,X_51))
| is_a_theorem(equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_52,X_51),equivalent(equivalent(X_52,X_53),equivalent(X_51,X_53)))) )],[refute_0_31,refute_0_16]) ).
cnf(refute_0_33,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),X_68),equivalent(equivalent(X_15,X_14),X_68))) ),
inference(subst,[],[refute_0_32:[bind(X_51,$fot(equivalent(X_15,X_14))),bind(X_52,$fot(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)))),bind(X_53,$fot(X_68))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),X_68),equivalent(equivalent(X_15,X_14),X_68))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),equivalent(X_14,X_16)),equivalent(X_15,X_14))) )],[refute_0_10,refute_0_33]) ).
cnf(refute_0_35,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144),equivalent(equivalent(X_142,X_141),X_144))),
inference(subst,[],[refute_0_34:[bind(X_14,$fot(X_141)),bind(X_15,$fot(X_142)),bind(X_16,$fot(X_143)),bind(X_68,$fot(X_144))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144))
| is_a_theorem(equivalent(equivalent(X_142,X_141),X_144)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_142,X_143),equivalent(X_141,X_143)),X_144),equivalent(equivalent(X_142,X_141),X_144))) )],[refute_0_35,refute_0_15]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(equivalent(X_1669,X_1670),equivalent(X_1668,X_1670))),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668))))
| is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))) ),
inference(subst,[],[refute_0_36:[bind(X_141,$fot(equivalent(X_1669,X_1670))),bind(X_143,$fot(equivalent(X_1668,X_1670))),bind(X_144,$fot(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668))))]]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1637,X_1636)),equivalent(equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638)),equivalent(X_1637,X_1636))),equivalent(X_142,equivalent(X_1637,X_1636))))
| is_a_theorem(equivalent(equivalent(X_142,equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638))),equivalent(X_142,equivalent(X_1637,X_1636)))) ),
inference(subst,[],[refute_0_36:[bind(X_141,$fot(equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638)))),bind(X_143,$fot(equivalent(X_1637,X_1636))),bind(X_144,$fot(equivalent(X_142,equivalent(X_1637,X_1636))))]]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44)))
| is_a_theorem(equivalent(X_43,X_43)) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(X_43)),bind(X_18,$fot(X_43)),bind(X_19,$fot(X_44))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(equivalent(X_43,X_43)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_43,X_44),equivalent(X_43,X_44))) )],[refute_0_27,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(X_28)
| ~ is_a_theorem(equivalent(X_28,equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32)))
| is_a_theorem(equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_28)),bind(Y,$fot(equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32)))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),equivalent(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27),equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27))))
| is_a_theorem(equivalent(X_18,equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27))),bind(X_19,$fot(equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)))]]) ).
cnf(refute_0_43,plain,
is_a_theorem(equivalent(equivalent(X_21,equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),equivalent(equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)),equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_21)),bind(X_6,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_44,plain,
( ~ is_a_theorem(equivalent(equivalent(X_21,equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),equivalent(equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)),equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))))
| is_a_theorem(equivalent(X_21,equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)))),bind(X_18,$fot(X_21)),bind(X_19,$fot(equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))]]) ).
cnf(refute_0_45,plain,
is_a_theorem(equivalent(X_21,equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21,equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),equivalent(equivalent(equivalent(X_21,X_9),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)),X_9)),equivalent(X_21,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
is_a_theorem(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),equivalent(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27),equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)))),
inference(subst,[],[refute_0_45:[bind(U,$fot(X_23)),bind(Y,$fot(X_24)),bind(Z,$fot(X_25)),bind(X_21,$fot(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)))),bind(X_9,$fot(X_27))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(equivalent(X_18,equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),equivalent(equivalent(equivalent(X_18,equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)),X_27),equivalent(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_23,X_25)),equivalent(X_24,X_23)),X_27)))) )],[refute_0_46,refute_0_42]) ).
cnf(refute_0_48,plain,
is_a_theorem(equivalent(X_28,equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32))),
inference(subst,[],[refute_0_47:[bind(X_18,$fot(X_28)),bind(X_23,$fot(X_29)),bind(X_24,$fot(X_30)),bind(X_25,$fot(X_31)),bind(X_27,$fot(X_32))]]) ).
cnf(refute_0_49,plain,
( ~ is_a_theorem(X_28)
| is_a_theorem(equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_28,equivalent(equivalent(X_28,equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_29,X_31)),equivalent(X_30,X_29)),X_32)),X_32))) )],[refute_0_48,refute_0_41]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(equivalent(X_43,X_43))
| is_a_theorem(equivalent(equivalent(equivalent(X_43,X_43),equivalent(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)),X_384)),X_384)) ),
inference(subst,[],[refute_0_49:[bind(X_28,$fot(equivalent(X_43,X_43))),bind(X_29,$fot(X_381)),bind(X_30,$fot(X_382)),bind(X_31,$fot(X_383)),bind(X_32,$fot(X_384))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_43,X_43),equivalent(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)),X_384)),X_384)),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_43,X_43)) )],[refute_0_40,refute_0_50]) ).
cnf(refute_0_52,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1600,X_1600),equivalent(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)),X_1600)),X_1600)),
inference(subst,[],[refute_0_51:[bind(X_384,$fot(X_1600)),bind(X_43,$fot(X_1600))]]) ).
cnf(refute_0_53,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1600,X_1600),equivalent(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)),X_1600)),X_1600))
| is_a_theorem(equivalent(equivalent(X_1600,equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381))),X_1600)) ),
inference(subst,[],[refute_0_36:[bind(X_141,$fot(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)))),bind(X_142,$fot(X_1600)),bind(X_143,$fot(X_1600)),bind(X_144,$fot(X_1600))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(equivalent(equivalent(X_1600,equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381))),X_1600)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1600,X_1600),equivalent(equivalent(equivalent(equivalent(X_382,X_383),equivalent(X_381,X_383)),equivalent(X_382,X_381)),X_1600)),X_1600)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1637,X_1636)),equivalent(equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638)),equivalent(X_1637,X_1636))),equivalent(X_142,equivalent(X_1637,X_1636)))),
inference(subst,[],[refute_0_54:[bind(X_1600,$fot(equivalent(X_142,equivalent(X_1637,X_1636)))),bind(X_381,$fot(X_1636)),bind(X_382,$fot(X_1637)),bind(X_383,$fot(X_1638))]]) ).
cnf(refute_0_56,plain,
is_a_theorem(equivalent(equivalent(X_142,equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638))),equivalent(X_142,equivalent(X_1637,X_1636)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1637,X_1636)),equivalent(equivalent(equivalent(X_1637,X_1638),equivalent(X_1636,X_1638)),equivalent(X_1637,X_1636))),equivalent(X_142,equivalent(X_1637,X_1636)))) )],[refute_0_55,refute_0_38]) ).
cnf(refute_0_57,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(equivalent(X_1669,X_1670),equivalent(X_1668,X_1670))),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))),
inference(subst,[],[refute_0_56:[bind(X_142,$fot(equivalent(X_142,equivalent(X_1668,X_1670)))),bind(X_1636,$fot(X_1668)),bind(X_1637,$fot(X_1669)),bind(X_1638,$fot(X_1670))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(equivalent(X_1669,X_1670),equivalent(X_1668,X_1670))),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))) )],[refute_0_57,refute_0_37]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(equivalent(X_1603,X_1602))
| ~ is_a_theorem(equivalent(equivalent(X_1603,X_1602),equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601)))))
| is_a_theorem(equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_1603,X_1602))),bind(Y,$fot(equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601)))))]]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42))))
| is_a_theorem(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)))),bind(Y,$fot(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42))))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)))),
inference(subst,[],[refute_0_24:[bind(X_35,$fot(X_39)),bind(X_36,$fot(X_40)),bind(X_37,$fot(X_41)),bind(X_38,$fot(X_42))]]) ).
cnf(refute_0_62,plain,
( ~ is_a_theorem(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)))
| is_a_theorem(equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_41,X_39),equivalent(X_40,X_39)),equivalent(equivalent(X_41,X_42),equivalent(X_40,X_42)))) )],[refute_0_61,refute_0_60]) ).
cnf(refute_0_63,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1139,equivalent(X_1138,X_1138)),equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138))),equivalent(X_1139,equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_1139,equivalent(X_1138,X_1138)),X_42),equivalent(X_1139,X_42))) ),
inference(subst,[],[refute_0_62:[bind(X_39,$fot(equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138)))),bind(X_40,$fot(X_1139)),bind(X_41,$fot(equivalent(X_1139,equivalent(X_1138,X_1138))))]]) ).
cnf(refute_0_64,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)),equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258)))
| is_a_theorem(equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)))),bind(Y,$fot(equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258)))]]) ).
cnf(refute_0_65,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)),equivalent(equivalent(X_245,X_244),X_247)),equivalent(equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247),equivalent(equivalent(X_245,X_244),X_247))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)),equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247))),bind(X_18,$fot(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)))),bind(X_19,$fot(equivalent(equivalent(X_245,X_244),X_247)))]]) ).
cnf(refute_0_66,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))),equivalent(equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)),equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)))) ),
inference(subst,[],[refute_0_12:[bind(X_17,$fot(equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)))),bind(X_18,$fot(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)))),bind(X_19,$fot(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36))),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))) ),
inference(subst,[],[refute_0_4:[bind(X_3,$fot(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36)))))]]) ).
cnf(refute_0_68,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36)))),
inference(subst,[],[refute_0_22:[bind(X_17,$fot(X_33)),bind(X_18,$fot(X_34)),bind(X_19,$fot(X_35)),bind(X_2,$fot(X_36)),bind(X_4,$fot(X_37)),bind(X_5,$fot(X_38))]]) ).
cnf(refute_0_69,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36))),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_2,X_5)),equivalent(X_4,X_2)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_34,X_35),equivalent(X_33,X_35)),equivalent(X_34,X_33)),equivalent(equivalent(equivalent(X_37,X_38),equivalent(X_36,X_38)),equivalent(X_37,X_36)))) )],[refute_0_68,refute_0_67]) ).
cnf(refute_0_70,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))),equivalent(equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))))),
inference(subst,[],[refute_0_69:[bind(X_2,$fot(equivalent(X_237,X_236))),bind(X_33,$fot(X_233)),bind(X_34,$fot(X_234)),bind(X_35,$fot(X_235)),bind(X_36,$fot(X_236)),bind(X_37,$fot(X_237)),bind(X_38,$fot(X_238)),bind(X_4,$fot(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)))),bind(X_5,$fot(X_240))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)),equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_234,X_235),equivalent(X_233,X_235)),equivalent(X_234,X_233)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))),equivalent(equivalent(equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),X_240),equivalent(equivalent(X_237,X_236),X_240)),equivalent(equivalent(equivalent(X_237,X_238),equivalent(X_236,X_238)),equivalent(X_237,X_236))))) )],[refute_0_70,refute_0_66]) ).
cnf(refute_0_72,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)),equivalent(equivalent(X_245,X_244),X_247)),equivalent(equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247),equivalent(equivalent(X_245,X_244),X_247)))),
inference(subst,[],[refute_0_71:[bind(X_233,$fot(X_247)),bind(X_234,$fot(equivalent(X_245,X_244))),bind(X_235,$fot(X_243)),bind(X_236,$fot(X_244)),bind(X_237,$fot(X_245)),bind(X_238,$fot(X_246)),bind(X_240,$fot(X_247))]]) ).
cnf(refute_0_73,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)),equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_245,X_244),X_243),equivalent(X_247,X_243)),equivalent(equivalent(X_245,X_244),X_247)),equivalent(equivalent(equivalent(equivalent(X_245,X_246),equivalent(X_244,X_246)),X_247),equivalent(equivalent(X_245,X_244),X_247)))) )],[refute_0_72,refute_0_65]) ).
cnf(refute_0_74,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)),equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258))),
inference(subst,[],[refute_0_73:[bind(X_243,$fot(X_254)),bind(X_244,$fot(X_255)),bind(X_245,$fot(X_256)),bind(X_246,$fot(X_257)),bind(X_247,$fot(X_258))]]) ).
cnf(refute_0_75,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)))
| is_a_theorem(equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_256,X_255),X_254),equivalent(X_258,X_254)),equivalent(equivalent(equivalent(X_256,X_257),equivalent(X_255,X_257)),X_258))) )],[refute_0_74,refute_0_64]) ).
cnf(refute_0_76,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1048,equivalent(X_1045,X_1044)),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044))),equivalent(equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046))),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_1048,X_257),equivalent(equivalent(X_1045,X_1044),X_257)),equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046))))) ),
inference(subst,[],[refute_0_75:[bind(X_254,$fot(equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044)))),bind(X_255,$fot(equivalent(X_1045,X_1044))),bind(X_256,$fot(X_1048)),bind(X_258,$fot(equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)))))]]) ).
cnf(refute_0_77,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))),
inference(subst,[],[s_3:[bind(X,$fot(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_1031,X_1032),equivalent(X_1030,X_1032)),equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) ),
inference(subst,[],[refute_0_75:[bind(X_254,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),bind(X_255,$fot(X_1030)),bind(X_256,$fot(X_1031)),bind(X_257,$fot(X_1032)),bind(X_258,$fot(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1031,X_1032),equivalent(X_1030,X_1032)),equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(X_1031,X_1030),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1048,equivalent(X_1045,X_1044)),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044))),equivalent(equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046))),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044))))),
inference(subst,[],[refute_0_79:[bind(U,$fot(X_1044)),bind(Y,$fot(X_1045)),bind(Z,$fot(X_1046)),bind(X_1030,$fot(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)))),bind(X_1031,$fot(X_1048)),bind(X_1032,$fot(equivalent(X_1045,X_1044)))]]) ).
cnf(refute_0_81,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1048,X_257),equivalent(equivalent(X_1045,X_1044),X_257)),equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1048,equivalent(X_1045,X_1044)),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044))),equivalent(equivalent(X_1048,equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046))),equivalent(equivalent(equivalent(X_1045,X_1046),equivalent(X_1044,X_1046)),equivalent(X_1045,X_1044))))) )],[refute_0_80,refute_0_76]) ).
cnf(refute_0_82,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1139,equivalent(X_1138,X_1138)),equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138))),equivalent(X_1139,equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138))))),
inference(subst,[],[refute_0_81:[bind(X_1044,$fot(X_1138)),bind(X_1045,$fot(X_1137)),bind(X_1046,$fot(X_1138)),bind(X_1048,$fot(X_1139)),bind(X_257,$fot(equivalent(X_1138,X_1138)))]]) ).
cnf(refute_0_83,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1139,equivalent(X_1138,X_1138)),X_42),equivalent(X_1139,X_42))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1139,equivalent(X_1138,X_1138)),equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138))),equivalent(X_1139,equivalent(equivalent(X_1137,X_1138),equivalent(X_1138,X_1138))))) )],[refute_0_82,refute_0_63]) ).
cnf(refute_0_84,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1598,equivalent(X_1138,X_1138)),equivalent(X_1597,equivalent(X_1138,X_1138))),equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138))))),
inference(subst,[],[refute_0_83:[bind(X_1139,$fot(X_1598)),bind(X_42,$fot(equivalent(X_1597,equivalent(X_1138,X_1138))))]]) ).
cnf(refute_0_85,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1598,equivalent(X_1138,X_1138)),equivalent(X_1597,equivalent(X_1138,X_1138))),equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138)))))
| is_a_theorem(equivalent(equivalent(X_1598,X_1597),equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138))))) ),
inference(subst,[],[refute_0_36:[bind(X_141,$fot(X_1597)),bind(X_142,$fot(X_1598)),bind(X_143,$fot(equivalent(X_1138,X_1138))),bind(X_144,$fot(equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138)))))]]) ).
cnf(refute_0_86,plain,
is_a_theorem(equivalent(equivalent(X_1598,X_1597),equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1598,equivalent(X_1138,X_1138)),equivalent(X_1597,equivalent(X_1138,X_1138))),equivalent(X_1598,equivalent(X_1597,equivalent(X_1138,X_1138))))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
is_a_theorem(equivalent(equivalent(X_1603,X_1602),equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601))))),
inference(subst,[],[refute_0_86:[bind(X_1138,$fot(X_1601)),bind(X_1597,$fot(X_1602)),bind(X_1598,$fot(X_1603))]]) ).
cnf(refute_0_88,plain,
( ~ is_a_theorem(equivalent(X_1603,X_1602))
| is_a_theorem(equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601)))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1603,X_1602),equivalent(X_1603,equivalent(X_1602,equivalent(X_1601,X_1601))))) )],[refute_0_87,refute_0_59]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668))))
| is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)),equivalent(X_2296,X_2296)))) ),
inference(subst,[],[refute_0_88:[bind(X_1601,$fot(X_2296)),bind(X_1602,$fot(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))),bind(X_1603,$fot(equivalent(X_142,equivalent(X_1669,X_1670))))]]) ).
cnf(refute_0_90,plain,
is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)),equivalent(X_2296,X_2296)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_142,equivalent(X_1669,X_1670)),equivalent(equivalent(X_142,equivalent(X_1668,X_1670)),equivalent(X_1669,X_1668)))) )],[refute_0_58,refute_0_89]) ).
cnf(refute_0_91,plain,
is_a_theorem(equivalent(equivalent(X_4472,equivalent(X_4476,X_4476)),equivalent(equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)),equivalent(X_4476,X_4476)))),
inference(subst,[],[refute_0_90:[bind(X_142,$fot(X_4472)),bind(X_1668,$fot(X_4473)),bind(X_1669,$fot(X_4476)),bind(X_1670,$fot(X_4476)),bind(X_2296,$fot(X_4476))]]) ).
cnf(refute_0_92,plain,
is_a_theorem(equivalent(X_4472,equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_4472,equivalent(X_4476,X_4476)),equivalent(equivalent(equivalent(X_4472,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)),equivalent(X_4476,X_4476)))) )],[refute_0_91,refute_0_14]) ).
cnf(refute_0_93,plain,
is_a_theorem(equivalent(X_4875,equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))),
inference(subst,[],[refute_0_92:[bind(X_4472,$fot(X_4875))]]) ).
cnf(refute_0_94,plain,
( ~ is_a_theorem(equivalent(X_114,X_115))
| ~ is_a_theorem(equivalent(equivalent(X_114,X_115),equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115)))
| is_a_theorem(equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_114,X_115))),bind(Y,$fot(equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115)))]]) ).
cnf(refute_0_95,plain,
is_a_theorem(equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))),
inference(subst,[],[s_3:[bind(X,$fot(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))]]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))))
| is_a_theorem(equivalent(equivalent(X_109,X_110),equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X_110))) ),
inference(subst,[],[refute_0_62:[bind(X_39,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U)))),bind(X_40,$fot(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))),bind(X_41,$fot(X_109)),bind(X_42,$fot(X_110))]]) ).
cnf(refute_0_97,plain,
is_a_theorem(equivalent(equivalent(X_109,X_110),equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X_110))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(X_109,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
is_a_theorem(equivalent(equivalent(X_114,X_115),equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115))),
inference(subst,[],[refute_0_97:[bind(U,$fot(X_111)),bind(Y,$fot(X_112)),bind(Z,$fot(X_113)),bind(X_109,$fot(X_114)),bind(X_110,$fot(X_115))]]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(equivalent(X_114,X_115))
| is_a_theorem(equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_114,X_115),equivalent(equivalent(X_114,equivalent(equivalent(equivalent(X_112,X_113),equivalent(X_111,X_113)),equivalent(X_112,X_111))),X_115))) )],[refute_0_98,refute_0_94]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(equivalent(X_4875,equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473))))
| is_a_theorem(equivalent(equivalent(X_4875,equivalent(equivalent(equivalent(X_4873,X_4874),equivalent(X_4872,X_4874)),equivalent(X_4873,X_4872))),equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))) ),
inference(subst,[],[refute_0_99:[bind(X_111,$fot(X_4872)),bind(X_112,$fot(X_4873)),bind(X_113,$fot(X_4874)),bind(X_114,$fot(X_4875)),bind(X_115,$fot(equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473))))]]) ).
cnf(refute_0_101,plain,
is_a_theorem(equivalent(equivalent(X_4875,equivalent(equivalent(equivalent(X_4873,X_4874),equivalent(X_4872,X_4874)),equivalent(X_4873,X_4872))),equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_4875,equivalent(equivalent(X_4875,equivalent(X_4473,X_4476)),equivalent(X_4476,X_4473)))) )],[refute_0_93,refute_0_100]) ).
cnf(refute_0_102,plain,
is_a_theorem(equivalent(equivalent(X_5006,equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))),equivalent(equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))),equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))))),
inference(subst,[],[refute_0_101:[bind(X_4473,$fot(equivalent(X_5004,X_5003))),bind(X_4476,$fot(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))),bind(X_4872,$fot(X_5003)),bind(X_4873,$fot(X_5004)),bind(X_4874,$fot(X_5005)),bind(X_4875,$fot(X_5006))]]) ).
cnf(refute_0_103,plain,
is_a_theorem(equivalent(X_5006,equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_5006,equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))),equivalent(equivalent(X_5006,equivalent(equivalent(X_5004,X_5003),equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)))),equivalent(equivalent(equivalent(X_5004,X_5005),equivalent(X_5003,X_5005)),equivalent(X_5004,X_5003))))) )],[refute_0_102,refute_0_13]) ).
cnf(refute_0_104,plain,
is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(subst,[],[refute_0_103:[bind(X_5003,$fot(c)),bind(X_5004,$fot(b)),bind(X_5005,$fot(e)),bind(X_5006,$fot(a))]]) ).
cnf(refute_0_105,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) )],[refute_0_104,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 06:20:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.05/4.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/4.25
% 4.05/4.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.05/4.27
%------------------------------------------------------------------------------