TSTP Solution File: LCL092-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 12:49:24 EDT 2022
% Result : Unsatisfiable 43.48s 43.63s
% Output : CNFRefutation 43.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 131
% Number of leaves : 3
% Syntax : Number of clauses : 409 ( 223 unt; 0 nHn; 63 RR)
% Number of literals : 638 ( 0 equ; 230 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 2216 ( 894 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ).
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(X_783)
| ~ is_a_theorem(implies(X_783,implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782)))))
| is_a_theorem(implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_783)),bind(Y,$fot(implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| ~ is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2,X_3),implies(X_4,X_5)))),bind(Y,$fot(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_2)),bind(Q,$fot(X_3)),bind(R,$fot(X_4)),bind(S,$fot(X_5)),bind(T,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2))))) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_168,implies(X_170,implies(X_174,X_172))),implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))))))
| is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_168,implies(X_170,implies(X_174,X_172))))),bind(X_5,$fot(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172)))))))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))
| ~ is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))),bind(Y,$fot(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P)))))
| is_a_theorem(implies(implies(implies(T,implies(R,P)),implies(P,Q)),implies(X_11,implies(implies(S,P),implies(P,Q))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(P,Q))),bind(X_3,$fot(implies(R,S))),bind(X_4,$fot(implies(S,P))),bind(X_5,$fot(implies(T,implies(R,P)))),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_7,plain,
is_a_theorem(implies(implies(implies(T,implies(R,P)),implies(P,Q)),implies(X_11,implies(implies(S,P),implies(P,Q))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) )],[ic_JLukasiewicz_5,refute_0_6]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))),
inference(subst,[],[refute_0_7:[bind(P,$fot(X_12)),bind(Q,$fot(X_13)),bind(R,$fot(X_14)),bind(S,$fot(X_15)),bind(T,$fot(X_16)),bind(X_11,$fot(X_17))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_61,implies(X_66,X_64)))),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_61,implies(X_66,X_64))),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))))))) ),
inference(subst,[],[refute_0_9:[bind(X_12,$fot(implies(X_61,implies(X_66,X_64)))),bind(X_13,$fot(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_34,X_32)),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))) ),
inference(subst,[],[refute_0_9:[bind(X_12,$fot(implies(X_34,X_32))),bind(X_13,$fot(implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))),
inference(subst,[],[refute_0_7:[bind(P,$fot(X_27)),bind(Q,$fot(X_25)),bind(X_11,$fot(X_25))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))
| is_a_theorem(implies(X_30,implies(implies(X_28,X_25),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))) ),
inference(subst,[],[refute_0_9:[bind(X_12,$fot(X_25)),bind(X_13,$fot(implies(implies(S,X_27),implies(X_27,X_25)))),bind(X_14,$fot(X_27)),bind(X_15,$fot(X_28)),bind(X_16,$fot(implies(T,implies(R,X_27)))),bind(X_17,$fot(X_30))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(X_30,implies(implies(X_28,X_25),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))),
inference(subst,[],[refute_0_14:[bind(S,$fot(X_31)),bind(X_25,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_30,$fot(implies(X_16,implies(X_14,implies(X_34,X_32)))))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_34,X_32)),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))) )],[refute_0_15,refute_0_11]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_61,implies(X_66,X_64)))),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))),
inference(subst,[],[refute_0_16:[bind(X_15,$fot(X_61)),bind(X_17,$fot(implies(X_16,implies(X_14,implies(X_61,implies(X_66,X_64)))))),bind(X_31,$fot(X_63)),bind(X_32,$fot(X_64)),bind(X_33,$fot(X_65)),bind(X_34,$fot(X_66))]]) ).
cnf(refute_0_18,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_61,implies(X_66,X_64))),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_61,implies(X_66,X_64)))),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))) )],[refute_0_17,refute_0_10]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_168,implies(X_170,implies(X_174,X_172))),implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172)))))))),
inference(subst,[],[refute_0_18:[bind(X_15,$fot(X_168)),bind(X_17,$fot(implies(X_2,X_3))),bind(X_61,$fot(X_170)),bind(X_63,$fot(X_171)),bind(X_64,$fot(X_172)),bind(X_65,$fot(X_173)),bind(X_66,$fot(X_174))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_168,implies(X_170,implies(X_174,X_172))),implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172)))))))) )],[refute_0_19,refute_0_4]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(X_248)
| ~ is_a_theorem(implies(X_248,implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))
| is_a_theorem(implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_248)),bind(Y,$fot(implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_233,X_232),implies(T,implies(X_234,X_232))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_232)),bind(Q,$fot(X_234)),bind(R,$fot(X_234)),bind(S,$fot(X_233))]]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87))
| ~ is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87),implies(X_83,implies(X_85,X_87))))
| is_a_theorem(implies(X_83,implies(X_85,X_87))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87))),bind(Y,$fot(implies(X_83,implies(X_85,X_87))))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(implies(implies(X_82,X_80),implies(X_80,implies(implies(X_79,X_81),implies(X_81,X_80)))))
| is_a_theorem(implies(implies(implies(implies(X_79,X_81),implies(X_81,X_80)),X_82),implies(X_6,implies(X_80,X_82)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_82)),bind(X_3,$fot(X_80)),bind(X_4,$fot(X_80)),bind(X_5,$fot(implies(implies(X_79,X_81),implies(X_81,X_80))))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))))))
| is_a_theorem(implies(implies(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))),X_2),implies(X_6,implies(implies(X_61,implies(X_66,X_64)),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_61,implies(X_66,X_64)))),bind(X_5,$fot(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))),
inference(subst,[],[refute_0_16:[bind(X_15,$fot(X_61)),bind(X_17,$fot(implies(X_2,X_3))),bind(X_31,$fot(X_63)),bind(X_32,$fot(X_64)),bind(X_33,$fot(X_65)),bind(X_34,$fot(X_66))]]) ).
cnf(refute_0_27,plain,
is_a_theorem(implies(implies(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))),X_2),implies(X_6,implies(implies(X_61,implies(X_66,X_64)),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_61,implies(X_66,X_64)),implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64))))))) )],[refute_0_26,refute_0_25]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(X_35)
| ~ is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))
| is_a_theorem(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_35)),bind(Y,$fot(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))]]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))),
inference(subst,[],[refute_0_14:[bind(S,$fot(X_31)),bind(X_25,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_30,$fot(X_35))]]) ).
cnf(refute_0_30,plain,
( ~ is_a_theorem(X_35)
| is_a_theorem(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))),X_2),implies(X_6,implies(implies(X_61,implies(X_66,X_64)),X_2))))
| is_a_theorem(implies(implies(X_77,X_75),implies(X_75,implies(implies(X_74,X_76),implies(X_76,X_75))))) ),
inference(subst,[],[refute_0_30:[bind(X_31,$fot(X_74)),bind(X_32,$fot(X_75)),bind(X_33,$fot(X_76)),bind(X_34,$fot(X_77)),bind(X_35,$fot(implies(implies(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))),X_2),implies(X_6,implies(implies(X_61,implies(X_66,X_64)),X_2)))))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(X_77,X_75),implies(X_75,implies(implies(X_74,X_76),implies(X_76,X_75))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_66,X_64),implies(X_64,implies(implies(X_63,X_65),implies(X_65,X_64)))),X_2),implies(X_6,implies(implies(X_61,implies(X_66,X_64)),X_2)))) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_82,X_80),implies(X_80,implies(implies(X_79,X_81),implies(X_81,X_80))))),
inference(subst,[],[refute_0_32:[bind(X_74,$fot(X_79)),bind(X_75,$fot(X_80)),bind(X_76,$fot(X_81)),bind(X_77,$fot(X_82))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(implies(implies(implies(implies(X_79,X_81),implies(X_81,X_80)),X_82),implies(X_6,implies(X_80,X_82)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_82,X_80),implies(X_80,implies(implies(X_79,X_81),implies(X_81,X_80))))) )],[refute_0_33,refute_0_24]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87),implies(X_83,implies(X_85,X_87)))),
inference(subst,[],[refute_0_34:[bind(X_6,$fot(X_83)),bind(X_79,$fot(X_84)),bind(X_80,$fot(X_85)),bind(X_81,$fot(X_86)),bind(X_82,$fot(X_87))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87))
| is_a_theorem(implies(X_83,implies(X_85,X_87))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),X_87),implies(X_83,implies(X_85,X_87)))) )],[refute_0_35,refute_0_23]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_233,X_232),implies(T,implies(X_234,X_232)))))
| is_a_theorem(implies(X_231,implies(X_233,implies(implies(X_233,X_232),implies(T,implies(X_234,X_232)))))) ),
inference(subst,[],[refute_0_36:[bind(X_83,$fot(X_231)),bind(X_84,$fot(X_232)),bind(X_85,$fot(X_233)),bind(X_86,$fot(X_234)),bind(X_87,$fot(implies(implies(X_233,X_232),implies(T,implies(X_234,X_232)))))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(X_231,implies(X_233,implies(implies(X_233,X_232),implies(T,implies(X_234,X_232)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_233,X_232),implies(T,implies(X_234,X_232))))) )],[refute_0_22,refute_0_37]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(X_248,implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))),
inference(subst,[],[refute_0_38:[bind(T,$fot(X_247)),bind(X_231,$fot(X_248)),bind(X_232,$fot(X_249)),bind(X_233,$fot(X_250)),bind(X_234,$fot(X_251))]]) ).
cnf(refute_0_40,plain,
( ~ is_a_theorem(X_248)
| is_a_theorem(implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_248,implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))) )],[refute_0_39,refute_0_21]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2))))
| is_a_theorem(implies(X_779,implies(implies(X_779,X_778),implies(X_776,implies(X_780,X_778))))) ),
inference(subst,[],[refute_0_40:[bind(X_247,$fot(X_776)),bind(X_248,$fot(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2))))),bind(X_249,$fot(X_778)),bind(X_250,$fot(X_779)),bind(X_251,$fot(X_780))]]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(X_779,implies(implies(X_779,X_778),implies(X_776,implies(X_780,X_778))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2)))) )],[refute_0_20,refute_0_41]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(X_783,implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782))))),
inference(subst,[],[refute_0_42:[bind(X_776,$fot(X_781)),bind(X_778,$fot(X_782)),bind(X_779,$fot(X_783)),bind(X_780,$fot(X_784))]]) ).
cnf(refute_0_44,plain,
( ~ is_a_theorem(X_783)
| is_a_theorem(implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_783,implies(implies(X_783,X_782),implies(X_781,implies(X_784,X_782))))) )],[refute_0_43,refute_0_0]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) ),
inference(subst,[],[refute_0_44:[bind(X_783,$fot(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039)))))]]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) ),
inference(subst,[],[refute_0_44:[bind(X_783,$fot(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448)))))]]) ).
cnf(refute_0_47,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))),X_2),implies(X_6,implies(X_1429,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_1429)),bind(X_5,$fot(implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426)))))]]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(implies(implies(X_1418,Q),implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1420,X_1418),X_1418),implies(X_1418,implies(X_1422,X_1418))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_1418)),bind(R,$fot(X_1422)),bind(S,$fot(implies(X_1420,X_1418))),bind(T,$fot(X_1418))]]) ).
cnf(refute_0_49,plain,
( ~ is_a_theorem(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))))
| ~ is_a_theorem(implies(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))),implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115))))))
| is_a_theorem(implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))))),bind(Y,$fot(implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115))))))]]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18))))))
| is_a_theorem(implies(implies(implies(X_23,implies(X_22,implies(X_20,X_18))),implies(implies(X_21,X_18),implies(X_18,X_19))),implies(X_6,implies(X_24,implies(implies(X_21,X_18),implies(X_18,X_19)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(X_21,X_18),implies(X_18,X_19)))),bind(X_3,$fot(implies(X_22,implies(X_20,X_18)))),bind(X_4,$fot(X_24)),bind(X_5,$fot(implies(X_23,implies(X_22,implies(X_20,X_18)))))]]) ).
cnf(refute_0_51,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))
| is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_16,implies(X_14,X_12)))),bind(X_3,$fot(implies(X_12,X_13))),bind(X_4,$fot(X_17)),bind(X_5,$fot(implies(implies(X_15,X_12),implies(X_12,X_13))))]]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_8,refute_0_51]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))),
inference(subst,[],[refute_0_52:[bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20)),bind(X_15,$fot(X_21)),bind(X_16,$fot(X_22)),bind(X_17,$fot(X_23)),bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(implies(X_23,implies(X_22,implies(X_20,X_18))),implies(implies(X_21,X_18),implies(X_18,X_19))),implies(X_6,implies(X_24,implies(implies(X_21,X_18),implies(X_18,X_19)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))) )],[refute_0_53,refute_0_50]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))),implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115)))))),
inference(subst,[],[refute_0_54:[bind(X_18,$fot(X_114)),bind(X_19,$fot(X_115)),bind(X_20,$fot(X_116)),bind(X_21,$fot(X_117)),bind(X_22,$fot(X_118)),bind(X_23,$fot(X_119)),bind(X_24,$fot(X_120)),bind(X_6,$fot(X_121))]]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))))
| is_a_theorem(implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_119,implies(X_118,implies(X_116,X_114))),implies(implies(X_117,X_114),implies(X_114,X_115))),implies(X_121,implies(X_120,implies(implies(X_117,X_114),implies(X_114,X_115)))))) )],[refute_0_55,refute_0_49]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(implies(X_1418,Q),implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1420,X_1418),X_1418),implies(X_1418,implies(X_1422,X_1418)))))
| is_a_theorem(implies(X_1425,implies(X_1424,implies(implies(implies(X_1420,X_1418),X_1418),implies(X_1418,implies(X_1422,X_1418)))))) ),
inference(subst,[],[refute_0_56:[bind(X_114,$fot(X_1418)),bind(X_115,$fot(implies(X_1422,X_1418))),bind(X_116,$fot(X_1420)),bind(X_117,$fot(implies(X_1420,X_1418))),bind(X_118,$fot(X_1422)),bind(X_119,$fot(implies(X_1418,Q))),bind(X_120,$fot(X_1424)),bind(X_121,$fot(X_1425))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(X_1425,implies(X_1424,implies(implies(implies(X_1420,X_1418),X_1418),implies(X_1418,implies(X_1422,X_1418)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1418,Q),implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1420,X_1418),X_1418),implies(X_1418,implies(X_1422,X_1418))))) )],[refute_0_48,refute_0_57]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426)))))),
inference(subst,[],[refute_0_58:[bind(X_1418,$fot(X_1426)),bind(X_1420,$fot(X_1427)),bind(X_1422,$fot(X_1428)),bind(X_1424,$fot(X_1429)),bind(X_1425,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))),X_2),implies(X_6,implies(X_1429,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426)))))) )],[refute_0_59,refute_0_47]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448)))),
inference(subst,[],[refute_0_60:[bind(X_1426,$fot(X_1444)),bind(X_1427,$fot(X_1445)),bind(X_1428,$fot(X_1446)),bind(X_1429,$fot(X_1447)),bind(X_2,$fot(X_1448)),bind(X_6,$fot(X_1449))]]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448)))) )],[refute_0_61,refute_0_46]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039)))),
inference(subst,[],[refute_0_62:[bind(X_1444,$fot(X_2032)),bind(X_1445,$fot(X_2033)),bind(X_1446,$fot(X_2034)),bind(X_1447,$fot(X_2035)),bind(X_1448,$fot(X_2036)),bind(X_1449,$fot(X_2037)),bind(X_781,$fot(X_2038)),bind(X_782,$fot(X_2039)),bind(X_784,$fot(X_2040))]]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039)))) )],[refute_0_63,refute_0_45]) ).
cnf(refute_0_65,plain,
( ~ is_a_theorem(X_21211)
| ~ is_a_theorem(implies(X_21211,implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212))))
| is_a_theorem(implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_21211)),bind(Y,$fot(implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212))))]]) ).
cnf(refute_0_66,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_3530,implies(X_2,X_3))))
| is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_3530)),bind(X_5,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(X_3522)
| ~ is_a_theorem(implies(X_3522,implies(X_3521,implies(X_3520,X_3521))))
| is_a_theorem(implies(X_3521,implies(X_3520,X_3521))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3522)),bind(Y,$fot(implies(X_3521,implies(X_3520,X_3521))))]]) ).
cnf(refute_0_68,plain,
( ~ is_a_theorem(X_3495)
| ~ is_a_theorem(implies(X_3495,implies(X_3494,implies(X_3493,implies(X_3492,X_3493)))))
| is_a_theorem(implies(X_3494,implies(X_3493,implies(X_3492,X_3493)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3495)),bind(Y,$fot(implies(X_3494,implies(X_3493,implies(X_3492,X_3493)))))]]) ).
cnf(refute_0_69,plain,
( ~ is_a_theorem(X_2970)
| ~ is_a_theorem(implies(X_2970,implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967))))))
| is_a_theorem(implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2970)),bind(Y,$fot(implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967))))))]]) ).
cnf(refute_0_70,plain,
( ~ is_a_theorem(implies(implies(implies(X_1588,X_1587),X_1587),implies(X_1587,implies(X_1589,X_1587))))
| is_a_theorem(implies(implies(implies(X_1589,X_1587),implies(X_1588,X_1587)),implies(X_6,implies(X_1587,implies(X_1588,X_1587))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_1588,X_1587))),bind(X_3,$fot(X_1587)),bind(X_4,$fot(X_1587)),bind(X_5,$fot(implies(X_1589,X_1587)))]]) ).
cnf(refute_0_71,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_1454,implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_1454)),bind(X_5,$fot(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450)))))]]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),X_1418),implies(X_1418,implies(X_780,X_1418))))),
inference(subst,[],[refute_0_42:[bind(X_776,$fot(X_1418)),bind(X_778,$fot(X_1418)),bind(X_779,$fot(implies(X_1423,implies(X_1422,implies(X_1420,X_1418)))))]]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),X_1418),implies(X_1418,implies(X_780,X_1418)))))
| is_a_theorem(implies(X_1425,implies(X_1424,implies(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),X_1418),implies(X_1418,implies(X_780,X_1418)))))) ),
inference(subst,[],[refute_0_56:[bind(X_114,$fot(X_1418)),bind(X_115,$fot(implies(X_780,X_1418))),bind(X_116,$fot(X_1420)),bind(X_117,$fot(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))))),bind(X_118,$fot(X_1422)),bind(X_119,$fot(X_1423)),bind(X_120,$fot(X_1424)),bind(X_121,$fot(X_1425))]]) ).
cnf(refute_0_74,plain,
is_a_theorem(implies(X_1425,implies(X_1424,implies(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),X_1418),implies(X_1418,implies(X_780,X_1418)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),implies(implies(implies(X_1423,implies(X_1422,implies(X_1420,X_1418))),X_1418),implies(X_1418,implies(X_780,X_1418))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_1454,implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450)))))),
inference(subst,[],[refute_0_74:[bind(X_1418,$fot(X_1450)),bind(X_1420,$fot(X_1451)),bind(X_1422,$fot(X_1452)),bind(X_1423,$fot(X_1453)),bind(X_1424,$fot(X_1454)),bind(X_1425,$fot(implies(X_2,X_3))),bind(X_780,$fot(X_1456))]]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_1454,implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450)))))) )],[refute_0_75,refute_0_71]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(X_1577)
| ~ is_a_theorem(implies(X_1577,implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574)))))
| is_a_theorem(implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1577)),bind(Y,$fot(implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574)))))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(X_1430)
| ~ is_a_theorem(implies(X_1430,implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))))))
| is_a_theorem(implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1430)),bind(Y,$fot(implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))))))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(X_1430,implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426)))))),
inference(subst,[],[refute_0_58:[bind(X_1418,$fot(X_1426)),bind(X_1420,$fot(X_1427)),bind(X_1422,$fot(X_1428)),bind(X_1424,$fot(X_1429)),bind(X_1425,$fot(X_1430))]]) ).
cnf(refute_0_80,plain,
( ~ is_a_theorem(X_1430)
| is_a_theorem(implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1430,implies(X_1429,implies(implies(implies(X_1427,X_1426),X_1426),implies(X_1426,implies(X_1428,X_1426)))))) )],[refute_0_79,refute_0_78]) ).
cnf(refute_0_81,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2))))
| is_a_theorem(implies(X_1572,implies(implies(implies(X_1570,X_1569),X_1569),implies(X_1569,implies(X_1571,X_1569))))) ),
inference(subst,[],[refute_0_80:[bind(X_1426,$fot(X_1569)),bind(X_1427,$fot(X_1570)),bind(X_1428,$fot(X_1571)),bind(X_1429,$fot(X_1572)),bind(X_1430,$fot(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))))]]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(X_1572,implies(implies(implies(X_1570,X_1569),X_1569),implies(X_1569,implies(X_1571,X_1569))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
is_a_theorem(implies(X_1577,implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574))))),
inference(subst,[],[refute_0_82:[bind(X_1569,$fot(X_1574)),bind(X_1570,$fot(X_1575)),bind(X_1571,$fot(X_1576)),bind(X_1572,$fot(X_1577))]]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(X_1577)
| is_a_theorem(implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1577,implies(implies(implies(X_1575,X_1574),X_1574),implies(X_1574,implies(X_1576,X_1574))))) )],[refute_0_83,refute_0_77]) ).
cnf(refute_0_85,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2))))
| is_a_theorem(implies(implies(implies(X_1584,X_1583),X_1583),implies(X_1583,implies(X_1585,X_1583)))) ),
inference(subst,[],[refute_0_84:[bind(X_1574,$fot(X_1583)),bind(X_1575,$fot(X_1584)),bind(X_1576,$fot(X_1585)),bind(X_1577,$fot(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))))]]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(implies(implies(X_1584,X_1583),X_1583),implies(X_1583,implies(X_1585,X_1583)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1453,implies(X_1452,implies(X_1451,X_1450))),X_1450),implies(X_1450,implies(X_1456,X_1450))),X_2),implies(X_6,implies(X_1454,X_2)))) )],[refute_0_76,refute_0_85]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(implies(implies(X_1588,X_1587),X_1587),implies(X_1587,implies(X_1589,X_1587)))),
inference(subst,[],[refute_0_86:[bind(X_1583,$fot(X_1587)),bind(X_1584,$fot(X_1588)),bind(X_1585,$fot(X_1589))]]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(implies(implies(X_1589,X_1587),implies(X_1588,X_1587)),implies(X_6,implies(X_1587,implies(X_1588,X_1587))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1588,X_1587),X_1587),implies(X_1587,implies(X_1589,X_1587)))) )],[refute_0_87,refute_0_70]) ).
cnf(refute_0_89,plain,
is_a_theorem(implies(implies(implies(X_1589,X_2955),implies(X_1589,X_2955)),implies(X_2958,implies(X_2955,implies(X_1589,X_2955))))),
inference(subst,[],[refute_0_88:[bind(X_1587,$fot(X_2955)),bind(X_1588,$fot(X_1589)),bind(X_6,$fot(X_2958))]]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))))
| ~ is_a_theorem(implies(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))),implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429))))))
| is_a_theorem(implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))))),bind(Y,$fot(implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429))))))]]) ).
cnf(refute_0_91,plain,
( ~ is_a_theorem(implies(implies(implies(X_425,implies(X_422,X_424)),X_423),implies(X_426,implies(X_424,X_423))))
| is_a_theorem(implies(implies(implies(X_424,X_423),implies(X_425,implies(X_422,X_424))),implies(X_6,implies(X_426,implies(X_425,implies(X_422,X_424)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_425,implies(X_422,X_424)))),bind(X_3,$fot(X_423)),bind(X_4,$fot(X_426)),bind(X_5,$fot(implies(X_424,X_423)))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(implies(X_419,X_420),implies(X_420,implies(X_421,implies(X_418,X_420)))))
| is_a_theorem(implies(implies(implies(X_421,implies(X_418,X_420)),X_419),implies(X_6,implies(X_420,X_419)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_419)),bind(X_3,$fot(X_420)),bind(X_4,$fot(X_420)),bind(X_5,$fot(implies(X_421,implies(X_418,X_420))))]]) ).
cnf(refute_0_93,plain,
( ~ is_a_theorem(X_90)
| ~ is_a_theorem(implies(X_90,implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91))))))
| is_a_theorem(implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_90)),bind(Y,$fot(implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91))))))]]) ).
cnf(refute_0_94,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_14,X_83)),implies(X_83,implies(X_85,implies(X_14,X_83)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_83),implies(X_83,implies(X_85,implies(X_14,X_83)))))) ),
inference(subst,[],[refute_0_9:[bind(X_12,$fot(X_83)),bind(X_13,$fot(implies(X_85,implies(X_14,X_83)))),bind(X_16,$fot(implies(implies(X_84,X_86),implies(X_86,X_85))))]]) ).
cnf(refute_0_95,plain,
is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_14,X_83)),implies(X_83,implies(X_85,implies(X_14,X_83))))),
inference(subst,[],[refute_0_34:[bind(X_6,$fot(X_83)),bind(X_79,$fot(X_84)),bind(X_80,$fot(X_85)),bind(X_81,$fot(X_86)),bind(X_82,$fot(implies(X_14,X_83)))]]) ).
cnf(refute_0_96,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,X_83),implies(X_83,implies(X_85,implies(X_14,X_83)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_14,X_83)),implies(X_83,implies(X_85,implies(X_14,X_83))))) )],[refute_0_95,refute_0_94]) ).
cnf(refute_0_97,plain,
is_a_theorem(implies(X_90,implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91)))))),
inference(subst,[],[refute_0_96:[bind(X_14,$fot(X_88)),bind(X_15,$fot(X_89)),bind(X_17,$fot(X_90)),bind(X_83,$fot(X_91)),bind(X_85,$fot(X_92))]]) ).
cnf(refute_0_98,plain,
( ~ is_a_theorem(X_90)
| is_a_theorem(implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_90,implies(implies(X_89,X_91),implies(X_91,implies(X_92,implies(X_88,X_91)))))) )],[refute_0_97,refute_0_93]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2))))
| is_a_theorem(implies(implies(X_414,X_416),implies(X_416,implies(X_417,implies(X_413,X_416))))) ),
inference(subst,[],[refute_0_98:[bind(X_88,$fot(X_413)),bind(X_89,$fot(X_414)),bind(X_90,$fot(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2))))),bind(X_91,$fot(X_416)),bind(X_92,$fot(X_417))]]) ).
cnf(refute_0_100,plain,
is_a_theorem(implies(implies(X_414,X_416),implies(X_416,implies(X_417,implies(X_413,X_416))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_170,implies(X_174,X_172)),implies(implies(X_174,X_172),implies(X_172,implies(implies(X_171,X_173),implies(X_173,X_172))))),X_2),implies(X_6,implies(implies(X_168,implies(X_170,implies(X_174,X_172))),X_2)))) )],[refute_0_20,refute_0_99]) ).
cnf(refute_0_101,plain,
is_a_theorem(implies(implies(X_419,X_420),implies(X_420,implies(X_421,implies(X_418,X_420))))),
inference(subst,[],[refute_0_100:[bind(X_413,$fot(X_418)),bind(X_414,$fot(X_419)),bind(X_416,$fot(X_420)),bind(X_417,$fot(X_421))]]) ).
cnf(refute_0_102,plain,
is_a_theorem(implies(implies(implies(X_421,implies(X_418,X_420)),X_419),implies(X_6,implies(X_420,X_419)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_419,X_420),implies(X_420,implies(X_421,implies(X_418,X_420))))) )],[refute_0_101,refute_0_92]) ).
cnf(refute_0_103,plain,
is_a_theorem(implies(implies(implies(X_425,implies(X_422,X_424)),X_423),implies(X_426,implies(X_424,X_423)))),
inference(subst,[],[refute_0_102:[bind(X_418,$fot(X_422)),bind(X_419,$fot(X_423)),bind(X_420,$fot(X_424)),bind(X_421,$fot(X_425)),bind(X_6,$fot(X_426))]]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(implies(implies(X_424,X_423),implies(X_425,implies(X_422,X_424))),implies(X_6,implies(X_426,implies(X_425,implies(X_422,X_424)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_425,implies(X_422,X_424)),X_423),implies(X_426,implies(X_424,X_423)))) )],[refute_0_103,refute_0_91]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))),implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429)))))),
inference(subst,[],[refute_0_104:[bind(X_422,$fot(X_427)),bind(X_423,$fot(X_428)),bind(X_424,$fot(X_429)),bind(X_425,$fot(X_430)),bind(X_426,$fot(X_431)),bind(X_6,$fot(X_432))]]) ).
cnf(refute_0_106,plain,
( ~ is_a_theorem(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))))
| is_a_theorem(implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_429,X_428),implies(X_430,implies(X_427,X_429))),implies(X_432,implies(X_431,implies(X_430,implies(X_427,X_429)))))) )],[refute_0_105,refute_0_90]) ).
cnf(refute_0_107,plain,
( ~ is_a_theorem(implies(implies(implies(X_1589,X_2955),implies(X_1589,X_2955)),implies(X_2958,implies(X_2955,implies(X_1589,X_2955)))))
| is_a_theorem(implies(X_2960,implies(X_2959,implies(X_2958,implies(X_2955,implies(X_1589,X_2955)))))) ),
inference(subst,[],[refute_0_106:[bind(X_427,$fot(X_2955)),bind(X_428,$fot(implies(X_1589,X_2955))),bind(X_429,$fot(implies(X_1589,X_2955))),bind(X_430,$fot(X_2958)),bind(X_431,$fot(X_2959)),bind(X_432,$fot(X_2960))]]) ).
cnf(refute_0_108,plain,
is_a_theorem(implies(X_2960,implies(X_2959,implies(X_2958,implies(X_2955,implies(X_1589,X_2955)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1589,X_2955),implies(X_1589,X_2955)),implies(X_2958,implies(X_2955,implies(X_1589,X_2955))))) )],[refute_0_89,refute_0_107]) ).
cnf(refute_0_109,plain,
is_a_theorem(implies(X_2970,implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967)))))),
inference(subst,[],[refute_0_108:[bind(X_1589,$fot(X_2966)),bind(X_2955,$fot(X_2967)),bind(X_2958,$fot(X_2968)),bind(X_2959,$fot(X_2969)),bind(X_2960,$fot(X_2970))]]) ).
cnf(refute_0_110,plain,
( ~ is_a_theorem(X_2970)
| is_a_theorem(implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2970,implies(X_2969,implies(X_2968,implies(X_2967,implies(X_2966,X_2967)))))) )],[refute_0_109,refute_0_69]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3490,implies(X_3489,implies(X_3488,implies(X_3487,X_3488))))) ),
inference(subst,[],[refute_0_110:[bind(X_2966,$fot(X_3487)),bind(X_2967,$fot(X_3488)),bind(X_2968,$fot(X_3489)),bind(X_2969,$fot(X_3490)),bind(X_2970,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_112,plain,
is_a_theorem(implies(X_3490,implies(X_3489,implies(X_3488,implies(X_3487,X_3488))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_111]) ).
cnf(refute_0_113,plain,
is_a_theorem(implies(X_3495,implies(X_3494,implies(X_3493,implies(X_3492,X_3493))))),
inference(subst,[],[refute_0_112:[bind(X_3487,$fot(X_3492)),bind(X_3488,$fot(X_3493)),bind(X_3489,$fot(X_3494)),bind(X_3490,$fot(X_3495))]]) ).
cnf(refute_0_114,plain,
( ~ is_a_theorem(X_3495)
| is_a_theorem(implies(X_3494,implies(X_3493,implies(X_3492,X_3493)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3495,implies(X_3494,implies(X_3493,implies(X_3492,X_3493))))) )],[refute_0_113,refute_0_68]) ).
cnf(refute_0_115,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3518,implies(X_3517,implies(X_3516,X_3517)))) ),
inference(subst,[],[refute_0_114:[bind(X_3492,$fot(X_3516)),bind(X_3493,$fot(X_3517)),bind(X_3494,$fot(X_3518)),bind(X_3495,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_116,plain,
is_a_theorem(implies(X_3518,implies(X_3517,implies(X_3516,X_3517)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_115]) ).
cnf(refute_0_117,plain,
is_a_theorem(implies(X_3522,implies(X_3521,implies(X_3520,X_3521)))),
inference(subst,[],[refute_0_116:[bind(X_3516,$fot(X_3520)),bind(X_3517,$fot(X_3521)),bind(X_3518,$fot(X_3522))]]) ).
cnf(refute_0_118,plain,
( ~ is_a_theorem(X_3522)
| is_a_theorem(implies(X_3521,implies(X_3520,X_3521))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3522,implies(X_3521,implies(X_3520,X_3521)))) )],[refute_0_117,refute_0_67]) ).
cnf(refute_0_119,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3528,implies(X_3527,X_3528))) ),
inference(subst,[],[refute_0_118:[bind(X_3520,$fot(X_3527)),bind(X_3521,$fot(X_3528)),bind(X_3522,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(X_3528,implies(X_3527,X_3528))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_119]) ).
cnf(refute_0_121,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_3530,implies(X_2,X_3)))),
inference(subst,[],[refute_0_120:[bind(X_3527,$fot(X_3530)),bind(X_3528,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_3530,implies(X_2,X_3)))) )],[refute_0_121,refute_0_66]) ).
cnf(refute_0_123,plain,
is_a_theorem(implies(implies(implies(X_17987,X_3),X_17987),implies(X_17988,implies(implies(X_17986,implies(implies(X_17987,X_3),X_17987)),X_17987)))),
inference(subst,[],[refute_0_122:[bind(X_2,$fot(X_17987)),bind(X_3530,$fot(implies(X_17986,implies(implies(X_17987,X_3),X_17987)))),bind(X_6,$fot(X_17988))]]) ).
cnf(refute_0_124,plain,
( ~ is_a_theorem(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))))
| ~ is_a_theorem(implies(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))),implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924)))))
| is_a_theorem(implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))))),bind(Y,$fot(implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924)))))]]) ).
cnf(refute_0_125,plain,
( ~ is_a_theorem(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071))
| ~ is_a_theorem(implies(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071),implies(X_16070,implies(X_16072,X_16071))))
| is_a_theorem(implies(X_16070,implies(X_16072,X_16071))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071))),bind(Y,$fot(implies(X_16070,implies(X_16072,X_16071))))]]) ).
cnf(refute_0_126,plain,
( ~ is_a_theorem(X_15218)
| ~ is_a_theorem(implies(X_15218,implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220)))))
| is_a_theorem(implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_15218)),bind(Y,$fot(implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220)))))]]) ).
cnf(refute_0_127,plain,
( ~ is_a_theorem(X_3956)
| ~ is_a_theorem(implies(X_3956,implies(X_3957,X_3957)))
| is_a_theorem(implies(X_3957,X_3957)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3956)),bind(Y,$fot(implies(X_3957,X_3957)))]]) ).
cnf(refute_0_128,plain,
( ~ is_a_theorem(X_3952)
| ~ is_a_theorem(implies(X_3952,implies(X_3950,implies(X_3951,X_3951))))
| is_a_theorem(implies(X_3950,implies(X_3951,X_3951))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3952)),bind(Y,$fot(implies(X_3950,implies(X_3951,X_3951))))]]) ).
cnf(refute_0_129,plain,
( ~ is_a_theorem(X_3541)
| ~ is_a_theorem(implies(X_3541,implies(X_3540,implies(X_3538,implies(X_3539,X_3539)))))
| is_a_theorem(implies(X_3540,implies(X_3538,implies(X_3539,X_3539)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3541)),bind(Y,$fot(implies(X_3540,implies(X_3538,implies(X_3539,X_3539)))))]]) ).
cnf(refute_0_130,plain,
( ~ is_a_theorem(implies(implies(X_428,X_428),implies(X_3530,implies(X_428,X_428))))
| is_a_theorem(implies(X_432,implies(X_431,implies(X_3530,implies(X_428,X_428))))) ),
inference(subst,[],[refute_0_106:[bind(X_427,$fot(X_428)),bind(X_429,$fot(X_428)),bind(X_430,$fot(X_3530))]]) ).
cnf(refute_0_131,plain,
is_a_theorem(implies(implies(X_428,X_428),implies(X_3530,implies(X_428,X_428)))),
inference(subst,[],[refute_0_120:[bind(X_3527,$fot(X_3530)),bind(X_3528,$fot(implies(X_428,X_428)))]]) ).
cnf(refute_0_132,plain,
is_a_theorem(implies(X_432,implies(X_431,implies(X_3530,implies(X_428,X_428))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_428,X_428),implies(X_3530,implies(X_428,X_428)))) )],[refute_0_131,refute_0_130]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(X_3541,implies(X_3540,implies(X_3538,implies(X_3539,X_3539))))),
inference(subst,[],[refute_0_132:[bind(X_3530,$fot(X_3538)),bind(X_428,$fot(X_3539)),bind(X_431,$fot(X_3540)),bind(X_432,$fot(X_3541))]]) ).
cnf(refute_0_134,plain,
( ~ is_a_theorem(X_3541)
| is_a_theorem(implies(X_3540,implies(X_3538,implies(X_3539,X_3539)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3541,implies(X_3540,implies(X_3538,implies(X_3539,X_3539))))) )],[refute_0_133,refute_0_129]) ).
cnf(refute_0_135,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3948,implies(X_3946,implies(X_3947,X_3947)))) ),
inference(subst,[],[refute_0_134:[bind(X_3538,$fot(X_3946)),bind(X_3539,$fot(X_3947)),bind(X_3540,$fot(X_3948)),bind(X_3541,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_136,plain,
is_a_theorem(implies(X_3948,implies(X_3946,implies(X_3947,X_3947)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_135]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(X_3952,implies(X_3950,implies(X_3951,X_3951)))),
inference(subst,[],[refute_0_136:[bind(X_3946,$fot(X_3950)),bind(X_3947,$fot(X_3951)),bind(X_3948,$fot(X_3952))]]) ).
cnf(refute_0_138,plain,
( ~ is_a_theorem(X_3952)
| is_a_theorem(implies(X_3950,implies(X_3951,X_3951))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3952,implies(X_3950,implies(X_3951,X_3951)))) )],[refute_0_137,refute_0_128]) ).
cnf(refute_0_139,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3953,implies(X_3954,X_3954))) ),
inference(subst,[],[refute_0_138:[bind(X_3950,$fot(X_3953)),bind(X_3951,$fot(X_3954)),bind(X_3952,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))))]]) ).
cnf(refute_0_140,plain,
is_a_theorem(implies(X_3953,implies(X_3954,X_3954))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_139]) ).
cnf(refute_0_141,plain,
is_a_theorem(implies(X_3956,implies(X_3957,X_3957))),
inference(subst,[],[refute_0_140:[bind(X_3953,$fot(X_3956)),bind(X_3954,$fot(X_3957))]]) ).
cnf(refute_0_142,plain,
( ~ is_a_theorem(X_3956)
| is_a_theorem(implies(X_3957,X_3957)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3956,implies(X_3957,X_3957))) )],[refute_0_141,refute_0_127]) ).
cnf(refute_0_143,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_3959,X_3959)) ),
inference(subst,[],[refute_0_142:[bind(X_3956,$fot(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_3957,$fot(X_3959))]]) ).
cnf(refute_0_144,plain,
is_a_theorem(implies(X_3959,X_3959)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1445,X_1444),X_1444),implies(X_1444,implies(X_1446,X_1444))),X_1448),implies(X_1449,implies(X_1447,X_1448))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_62,refute_0_143]) ).
cnf(refute_0_145,plain,
is_a_theorem(implies(implies(X_15214,implies(X_15216,X_15215)),implies(X_15214,implies(X_15216,X_15215)))),
inference(subst,[],[refute_0_144:[bind(X_3959,$fot(implies(X_15214,implies(X_15216,X_15215))))]]) ).
cnf(refute_0_146,plain,
( ~ is_a_theorem(implies(implies(X_795,implies(X_797,X_796)),X_792))
| ~ is_a_theorem(implies(implies(implies(X_795,implies(X_797,X_796)),X_792),implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792))))
| is_a_theorem(implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_795,implies(X_797,X_796)),X_792))),bind(Y,$fot(implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792))))]]) ).
cnf(refute_0_147,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_782),implies(X_781,implies(X_784,X_782)))))
| is_a_theorem(implies(implies(implies(X_781,implies(X_784,X_782)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_782),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(implies(X_2,X_3),X_782))),bind(X_5,$fot(implies(X_781,implies(X_784,X_782))))]]) ).
cnf(refute_0_148,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_782),implies(X_781,implies(X_784,X_782))))),
inference(subst,[],[refute_0_42:[bind(X_776,$fot(X_781)),bind(X_778,$fot(X_782)),bind(X_779,$fot(implies(X_2,X_3))),bind(X_780,$fot(X_784))]]) ).
cnf(refute_0_149,plain,
is_a_theorem(implies(implies(implies(X_781,implies(X_784,X_782)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_782),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_782),implies(X_781,implies(X_784,X_782))))) )],[refute_0_148,refute_0_147]) ).
cnf(refute_0_150,plain,
is_a_theorem(implies(implies(implies(X_795,implies(X_797,X_796)),X_792),implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792)))),
inference(subst,[],[refute_0_149:[bind(X_2,$fot(X_792)),bind(X_3,$fot(X_793)),bind(X_6,$fot(X_794)),bind(X_781,$fot(X_795)),bind(X_782,$fot(X_796)),bind(X_784,$fot(X_797))]]) ).
cnf(refute_0_151,plain,
( ~ is_a_theorem(implies(implies(X_795,implies(X_797,X_796)),X_792))
| is_a_theorem(implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_795,implies(X_797,X_796)),X_792),implies(X_794,implies(implies(implies(X_792,X_793),X_796),X_792)))) )],[refute_0_150,refute_0_146]) ).
cnf(refute_0_152,plain,
( ~ is_a_theorem(implies(implies(X_15214,implies(X_15216,X_15215)),implies(X_15214,implies(X_15216,X_15215))))
| is_a_theorem(implies(X_15213,implies(implies(implies(implies(X_15214,implies(X_15216,X_15215)),X_15212),X_15215),implies(X_15214,implies(X_15216,X_15215))))) ),
inference(subst,[],[refute_0_151:[bind(X_792,$fot(implies(X_15214,implies(X_15216,X_15215)))),bind(X_793,$fot(X_15212)),bind(X_794,$fot(X_15213)),bind(X_795,$fot(X_15214)),bind(X_796,$fot(X_15215)),bind(X_797,$fot(X_15216))]]) ).
cnf(refute_0_153,plain,
is_a_theorem(implies(X_15213,implies(implies(implies(implies(X_15214,implies(X_15216,X_15215)),X_15212),X_15215),implies(X_15214,implies(X_15216,X_15215))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_15214,implies(X_15216,X_15215)),implies(X_15214,implies(X_15216,X_15215)))) )],[refute_0_145,refute_0_152]) ).
cnf(refute_0_154,plain,
is_a_theorem(implies(X_15218,implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220))))),
inference(subst,[],[refute_0_153:[bind(X_15212,$fot(X_15217)),bind(X_15213,$fot(X_15218)),bind(X_15214,$fot(X_15219)),bind(X_15215,$fot(X_15220)),bind(X_15216,$fot(X_15221))]]) ).
cnf(refute_0_155,plain,
( ~ is_a_theorem(X_15218)
| is_a_theorem(implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_15218,implies(implies(implies(implies(X_15219,implies(X_15221,X_15220)),X_15217),X_15220),implies(X_15219,implies(X_15221,X_15220))))) )],[refute_0_154,refute_0_126]) ).
cnf(refute_0_156,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(implies(implies(implies(X_16066,implies(X_16068,X_16067)),X_16064),X_16067),implies(X_16066,implies(X_16068,X_16067)))) ),
inference(subst,[],[refute_0_155:[bind(X_15217,$fot(X_16064)),bind(X_15218,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_15219,$fot(X_16066)),bind(X_15220,$fot(X_16067)),bind(X_15221,$fot(X_16068))]]) ).
cnf(refute_0_157,plain,
is_a_theorem(implies(implies(implies(implies(X_16066,implies(X_16068,X_16067)),X_16064),X_16067),implies(X_16066,implies(X_16068,X_16067)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_156]) ).
cnf(refute_0_158,plain,
is_a_theorem(implies(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071),implies(X_16070,implies(X_16072,X_16071)))),
inference(subst,[],[refute_0_157:[bind(X_16064,$fot(X_16069)),bind(X_16066,$fot(X_16070)),bind(X_16067,$fot(X_16071)),bind(X_16068,$fot(X_16072))]]) ).
cnf(refute_0_159,plain,
( ~ is_a_theorem(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071))
| is_a_theorem(implies(X_16070,implies(X_16072,X_16071))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_16070,implies(X_16072,X_16071)),X_16069),X_16071),implies(X_16070,implies(X_16072,X_16071)))) )],[refute_0_158,refute_0_125]) ).
cnf(refute_0_160,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))),implies(X_17914,implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),X_17916),implies(X_17917,implies(implies(X_17914,X_17913),X_17916))))
| is_a_theorem(implies(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))),implies(X_17914,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_17916)),bind(X_16070,$fot(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))))),bind(X_16071,$fot(implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),bind(X_16072,$fot(X_17914))]]) ).
cnf(refute_0_161,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_17910,X_17909),implies(implies(X_17909,X_17912),implies(X_17910,X_17912)))))
| is_a_theorem(implies(implies(implies(implies(X_17909,X_17912),implies(X_17910,X_17912)),X_2),implies(X_6,implies(implies(X_17910,X_17909),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_17910,X_17909))),bind(X_5,$fot(implies(implies(X_17909,X_17912),implies(X_17910,X_17912))))]]) ).
cnf(refute_0_162,plain,
( ~ is_a_theorem(implies(implies(implies(X_17906,implies(implies(X_17905,X_17904),implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))),X_17907),implies(implies(X_17904,X_17907),implies(X_17905,X_17907))))
| is_a_theorem(implies(X_17906,implies(implies(X_17905,X_17904),implies(implies(X_17904,X_17907),implies(X_17905,X_17907))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_17907)),bind(X_16070,$fot(X_17906)),bind(X_16071,$fot(implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))),bind(X_16072,$fot(implies(X_17905,X_17904)))]]) ).
cnf(refute_0_163,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_17397,implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394)))))))
| is_a_theorem(implies(implies(implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394)))),X_2),implies(X_6,implies(X_17397,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_17397)),bind(X_5,$fot(implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394))))))]]) ).
cnf(refute_0_164,plain,
( ~ is_a_theorem(implies(implies(X_3534,X_3535),X_3534))
| ~ is_a_theorem(implies(implies(implies(X_3534,X_3535),X_3534),implies(X_3537,implies(X_3536,X_3534))))
| is_a_theorem(implies(X_3537,implies(X_3536,X_3534))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3534,X_3535),X_3534))),bind(Y,$fot(implies(X_3537,implies(X_3536,X_3534))))]]) ).
cnf(refute_0_165,plain,
is_a_theorem(implies(implies(implies(X_3534,X_3535),X_3534),implies(X_3537,implies(X_3536,X_3534)))),
inference(subst,[],[refute_0_122:[bind(X_2,$fot(X_3534)),bind(X_3,$fot(X_3535)),bind(X_3530,$fot(X_3536)),bind(X_6,$fot(X_3537))]]) ).
cnf(refute_0_166,plain,
( ~ is_a_theorem(implies(implies(X_3534,X_3535),X_3534))
| is_a_theorem(implies(X_3537,implies(X_3536,X_3534))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3534,X_3535),X_3534),implies(X_3537,implies(X_3536,X_3534)))) )],[refute_0_165,refute_0_164]) ).
cnf(refute_0_167,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))),implies(X_16543,X_16542)),implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))
| is_a_theorem(implies(X_3537,implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))) ),
inference(subst,[],[refute_0_166:[bind(X_3534,$fot(implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))),bind(X_3535,$fot(implies(X_16543,X_16542)))]]) ).
cnf(refute_0_168,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_16124,X_16122),implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122))))))
| is_a_theorem(implies(implies(implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122))),X_2),implies(X_6,implies(implies(X_16124,X_16122),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_16124,X_16122))),bind(X_5,$fot(implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122)))))]]) ).
cnf(refute_0_169,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_15424,implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))))))
| is_a_theorem(implies(implies(implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),X_2),implies(X_6,implies(X_15424,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_15424)),bind(X_5,$fot(implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))))]]) ).
cnf(refute_0_170,plain,
( ~ is_a_theorem(implies(implies(implies(X_11297,X_11296),X_11295),X_11296))
| ~ is_a_theorem(implies(implies(implies(implies(X_11297,X_11296),X_11295),X_11296),implies(X_11294,implies(X_11297,X_11296))))
| is_a_theorem(implies(X_11294,implies(X_11297,X_11296))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_11297,X_11296),X_11295),X_11296))),bind(Y,$fot(implies(X_11294,implies(X_11297,X_11296))))]]) ).
cnf(refute_0_171,plain,
( ~ is_a_theorem(X_11272)
| ~ is_a_theorem(implies(X_11272,implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273)))))
| is_a_theorem(implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_11272)),bind(Y,$fot(implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273)))))]]) ).
cnf(refute_0_172,plain,
( ~ is_a_theorem(X_3009)
| ~ is_a_theorem(implies(X_3009,implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010))))))
| is_a_theorem(implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3009)),bind(Y,$fot(implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010))))))]]) ).
cnf(refute_0_173,plain,
is_a_theorem(implies(implies(implies(X_780,X_778),X_2956),implies(implies(implies(implies(X_780,X_778),X_2956),X_778),implies(X_2955,implies(X_780,X_778))))),
inference(subst,[],[refute_0_42:[bind(X_776,$fot(X_2955)),bind(X_779,$fot(implies(implies(X_780,X_778),X_2956)))]]) ).
cnf(refute_0_174,plain,
( ~ is_a_theorem(implies(implies(implies(X_780,X_778),X_2956),implies(implies(implies(implies(X_780,X_778),X_2956),X_778),implies(X_2955,implies(X_780,X_778)))))
| is_a_theorem(implies(X_2960,implies(X_2959,implies(implies(implies(implies(X_780,X_778),X_2956),X_778),implies(X_2955,implies(X_780,X_778)))))) ),
inference(subst,[],[refute_0_106:[bind(X_427,$fot(X_2955)),bind(X_428,$fot(X_2956)),bind(X_429,$fot(implies(X_780,X_778))),bind(X_430,$fot(implies(implies(implies(X_780,X_778),X_2956),X_778))),bind(X_431,$fot(X_2959)),bind(X_432,$fot(X_2960))]]) ).
cnf(refute_0_175,plain,
is_a_theorem(implies(X_2960,implies(X_2959,implies(implies(implies(implies(X_780,X_778),X_2956),X_778),implies(X_2955,implies(X_780,X_778)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_780,X_778),X_2956),implies(implies(implies(implies(X_780,X_778),X_2956),X_778),implies(X_2955,implies(X_780,X_778))))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
is_a_theorem(implies(X_3009,implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010)))))),
inference(subst,[],[refute_0_175:[bind(X_2955,$fot(X_3006)),bind(X_2956,$fot(X_3007)),bind(X_2959,$fot(X_3008)),bind(X_2960,$fot(X_3009)),bind(X_778,$fot(X_3010)),bind(X_780,$fot(X_3011))]]) ).
cnf(refute_0_177,plain,
( ~ is_a_theorem(X_3009)
| is_a_theorem(implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3009,implies(X_3008,implies(implies(implies(implies(X_3011,X_3010),X_3007),X_3010),implies(X_3006,implies(X_3011,X_3010)))))) )],[refute_0_176,refute_0_172]) ).
cnf(refute_0_178,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_11266,implies(implies(implies(implies(X_11269,X_11268),X_11265),X_11268),implies(X_11264,implies(X_11269,X_11268))))) ),
inference(subst,[],[refute_0_177:[bind(X_3006,$fot(X_11264)),bind(X_3007,$fot(X_11265)),bind(X_3008,$fot(X_11266)),bind(X_3009,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_3010,$fot(X_11268)),bind(X_3011,$fot(X_11269))]]) ).
cnf(refute_0_179,plain,
is_a_theorem(implies(X_11266,implies(implies(implies(implies(X_11269,X_11268),X_11265),X_11268),implies(X_11264,implies(X_11269,X_11268))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_178]) ).
cnf(refute_0_180,plain,
is_a_theorem(implies(X_11272,implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273))))),
inference(subst,[],[refute_0_179:[bind(X_11264,$fot(X_11270)),bind(X_11265,$fot(X_11271)),bind(X_11266,$fot(X_11272)),bind(X_11268,$fot(X_11273)),bind(X_11269,$fot(X_11274))]]) ).
cnf(refute_0_181,plain,
( ~ is_a_theorem(X_11272)
| is_a_theorem(implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_11272,implies(implies(implies(implies(X_11274,X_11273),X_11271),X_11273),implies(X_11270,implies(X_11274,X_11273))))) )],[refute_0_180,refute_0_171]) ).
cnf(refute_0_182,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(implies(implies(implies(X_11293,X_11292),X_11290),X_11292),implies(X_11289,implies(X_11293,X_11292)))) ),
inference(subst,[],[refute_0_181:[bind(X_11270,$fot(X_11289)),bind(X_11271,$fot(X_11290)),bind(X_11272,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_11273,$fot(X_11292)),bind(X_11274,$fot(X_11293))]]) ).
cnf(refute_0_183,plain,
is_a_theorem(implies(implies(implies(implies(X_11293,X_11292),X_11290),X_11292),implies(X_11289,implies(X_11293,X_11292)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_182]) ).
cnf(refute_0_184,plain,
is_a_theorem(implies(implies(implies(implies(X_11297,X_11296),X_11295),X_11296),implies(X_11294,implies(X_11297,X_11296)))),
inference(subst,[],[refute_0_183:[bind(X_11289,$fot(X_11294)),bind(X_11290,$fot(X_11295)),bind(X_11292,$fot(X_11296)),bind(X_11293,$fot(X_11297))]]) ).
cnf(refute_0_185,plain,
( ~ is_a_theorem(implies(implies(implies(X_11297,X_11296),X_11295),X_11296))
| is_a_theorem(implies(X_11294,implies(X_11297,X_11296))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_11297,X_11296),X_11295),X_11296),implies(X_11294,implies(X_11297,X_11296)))) )],[refute_0_184,refute_0_170]) ).
cnf(refute_0_186,plain,
( ~ is_a_theorem(implies(implies(implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))),implies(X_14883,implies(X_14879,X_14878))),implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))
| is_a_theorem(implies(X_11294,implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))) ),
inference(subst,[],[refute_0_185:[bind(X_11295,$fot(implies(X_14883,implies(X_14879,X_14878)))),bind(X_11296,$fot(implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))),bind(X_11297,$fot(X_14881))]]) ).
cnf(refute_0_187,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14864,X_14865),implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863))))))))
| is_a_theorem(implies(implies(implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863))))),X_2),implies(X_6,implies(implies(X_14864,X_14865),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_14864,X_14865))),bind(X_5,$fot(implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863)))))))]]) ).
cnf(refute_0_188,plain,
( ~ is_a_theorem(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311))
| ~ is_a_theorem(implies(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311),implies(X_316,implies(X_314,X_311))))
| is_a_theorem(implies(X_316,implies(X_314,X_311))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311))),bind(Y,$fot(implies(X_316,implies(X_314,X_311))))]]) ).
cnf(refute_0_189,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))
| is_a_theorem(implies(implies(implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))),X_2),implies(X_6,implies(X_250,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_250)),bind(X_5,$fot(implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))]]) ).
cnf(refute_0_190,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))),
inference(subst,[],[refute_0_38:[bind(T,$fot(X_247)),bind(X_231,$fot(implies(X_2,X_3))),bind(X_232,$fot(X_249)),bind(X_233,$fot(X_250)),bind(X_234,$fot(X_251))]]) ).
cnf(refute_0_191,plain,
is_a_theorem(implies(implies(implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))),X_2),implies(X_6,implies(X_250,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))) )],[refute_0_190,refute_0_189]) ).
cnf(refute_0_192,plain,
is_a_theorem(implies(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311),implies(X_316,implies(X_314,X_311)))),
inference(subst,[],[refute_0_191:[bind(X_2,$fot(X_311)),bind(X_247,$fot(X_312)),bind(X_249,$fot(X_313)),bind(X_250,$fot(X_314)),bind(X_251,$fot(X_315)),bind(X_6,$fot(X_316))]]) ).
cnf(refute_0_193,plain,
( ~ is_a_theorem(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311))
| is_a_theorem(implies(X_316,implies(X_314,X_311))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_314,X_313),implies(X_312,implies(X_315,X_313))),X_311),implies(X_316,implies(X_314,X_311)))) )],[refute_0_192,refute_0_188]) ).
cnf(refute_0_194,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_11341,X_11342),implies(X_11341,X_11340)),implies(X_312,implies(X_315,implies(X_11341,X_11340)))),implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340)))))))
| is_a_theorem(implies(X_316,implies(implies(X_11341,X_11342),implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340)))))))) ),
inference(subst,[],[refute_0_193:[bind(X_311,$fot(implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340))))))),bind(X_313,$fot(implies(X_11341,X_11340))),bind(X_314,$fot(implies(X_11341,X_11342)))]]) ).
cnf(refute_0_195,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314)))))
| is_a_theorem(implies(implies(implies(implies(X_11315,X_11316),implies(X_11315,X_11314)),X_2),implies(X_6,implies(implies(X_11316,X_11314),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_11316,X_11314))),bind(X_5,$fot(implies(implies(X_11315,X_11316),implies(X_11315,X_11314))))]]) ).
cnf(refute_0_196,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_8104,implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))))))
| is_a_theorem(implies(implies(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))),X_2),implies(X_6,implies(X_8104,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_8104)),bind(X_5,$fot(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))))]]) ).
cnf(refute_0_197,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))),implies(X_8100,X_8099)),implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099)))))
| is_a_theorem(implies(X_3537,implies(X_3536,implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099)))))) ),
inference(subst,[],[refute_0_166:[bind(X_3534,$fot(implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))))),bind(X_3535,$fot(implies(X_8100,X_8099)))]]) ).
cnf(refute_0_198,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5325,X_5326),implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324))))))
| is_a_theorem(implies(implies(implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324))),X_2),implies(X_6,implies(implies(X_5325,X_5326),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_5325,X_5326))),bind(X_5,$fot(implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324)))))]]) ).
cnf(refute_0_199,plain,
( ~ is_a_theorem(implies(implies(X_3524,X_3525),X_3523))
| ~ is_a_theorem(implies(implies(implies(X_3524,X_3525),X_3523),implies(X_3526,implies(X_3525,X_3523))))
| is_a_theorem(implies(X_3526,implies(X_3525,X_3523))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3524,X_3525),X_3523))),bind(Y,$fot(implies(X_3526,implies(X_3525,X_3523))))]]) ).
cnf(refute_0_200,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_3521,implies(X_3520,X_3521))))
| is_a_theorem(implies(implies(implies(X_3520,X_3521),X_2),implies(X_6,implies(X_3521,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_3521)),bind(X_5,$fot(implies(X_3520,X_3521)))]]) ).
cnf(refute_0_201,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_3521,implies(X_3520,X_3521)))),
inference(subst,[],[refute_0_116:[bind(X_3516,$fot(X_3520)),bind(X_3517,$fot(X_3521)),bind(X_3518,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_202,plain,
is_a_theorem(implies(implies(implies(X_3520,X_3521),X_2),implies(X_6,implies(X_3521,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_3521,implies(X_3520,X_3521)))) )],[refute_0_201,refute_0_200]) ).
cnf(refute_0_203,plain,
is_a_theorem(implies(implies(implies(X_3524,X_3525),X_3523),implies(X_3526,implies(X_3525,X_3523)))),
inference(subst,[],[refute_0_202:[bind(X_2,$fot(X_3523)),bind(X_3520,$fot(X_3524)),bind(X_3521,$fot(X_3525)),bind(X_6,$fot(X_3526))]]) ).
cnf(refute_0_204,plain,
( ~ is_a_theorem(implies(implies(X_3524,X_3525),X_3523))
| is_a_theorem(implies(X_3526,implies(X_3525,X_3523))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3524,X_3525),X_3523),implies(X_3526,implies(X_3525,X_3523)))) )],[refute_0_203,refute_0_199]) ).
cnf(refute_0_205,plain,
( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P)))))
| is_a_theorem(implies(X_5323,implies(implies(R,S),implies(implies(S,P),implies(T,implies(R,P)))))) ),
inference(subst,[],[refute_0_204:[bind(X_3523,$fot(implies(implies(S,P),implies(T,implies(R,P))))),bind(X_3524,$fot(implies(P,Q))),bind(X_3525,$fot(implies(R,S))),bind(X_3526,$fot(X_5323))]]) ).
cnf(refute_0_206,plain,
is_a_theorem(implies(X_5323,implies(implies(R,S),implies(implies(S,P),implies(T,implies(R,P)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) )],[ic_JLukasiewicz_5,refute_0_205]) ).
cnf(refute_0_207,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5325,X_5326),implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324)))))),
inference(subst,[],[refute_0_206:[bind(P,$fot(X_5324)),bind(R,$fot(X_5325)),bind(S,$fot(X_5326)),bind(T,$fot(X_5327)),bind(X_5323,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_208,plain,
is_a_theorem(implies(implies(implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324))),X_2),implies(X_6,implies(implies(X_5325,X_5326),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5325,X_5326),implies(implies(X_5326,X_5324),implies(X_5327,implies(X_5325,X_5324)))))) )],[refute_0_207,refute_0_198]) ).
cnf(refute_0_209,plain,
is_a_theorem(implies(implies(implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))),implies(X_8100,X_8099)),implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))))),
inference(subst,[],[refute_0_208:[bind(X_2,$fot(implies(X_8100,X_8099))),bind(X_5324,$fot(X_8099)),bind(X_5325,$fot(X_8100)),bind(X_5326,$fot(X_8101)),bind(X_5327,$fot(implies(X_8100,X_8101))),bind(X_6,$fot(implies(X_8101,X_8099)))]]) ).
cnf(refute_0_210,plain,
is_a_theorem(implies(X_3537,implies(X_3536,implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))),implies(X_8100,X_8099)),implies(implies(X_8101,X_8099),implies(implies(X_8100,X_8101),implies(X_8100,X_8099))))) )],[refute_0_209,refute_0_197]) ).
cnf(refute_0_211,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_8104,implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))))),
inference(subst,[],[refute_0_210:[bind(X_3536,$fot(X_8104)),bind(X_3537,$fot(implies(X_2,X_3))),bind(X_8099,$fot(X_8106)),bind(X_8100,$fot(X_8107)),bind(X_8101,$fot(X_8108))]]) ).
cnf(refute_0_212,plain,
is_a_theorem(implies(implies(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))),X_2),implies(X_6,implies(X_8104,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_8104,implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))))) )],[refute_0_211,refute_0_196]) ).
cnf(refute_0_213,plain,
is_a_theorem(implies(implies(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))),X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))),
inference(subst,[],[refute_0_212:[bind(X_2,$fot(X_8106)),bind(X_6,$fot(implies(X_8107,X_8108))),bind(X_8104,$fot(X_8107))]]) ).
cnf(refute_0_214,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))),X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))))
| is_a_theorem(implies(X_11309,implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))))) ),
inference(subst,[],[refute_0_185:[bind(X_11294,$fot(X_11309)),bind(X_11295,$fot(X_8106)),bind(X_11296,$fot(implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))),bind(X_11297,$fot(implies(X_8108,X_8106)))]]) ).
cnf(refute_0_215,plain,
is_a_theorem(implies(X_11309,implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8108,X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106))),X_8106),implies(implies(X_8107,X_8108),implies(X_8107,X_8106)))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314))))),
inference(subst,[],[refute_0_215:[bind(X_11309,$fot(implies(X_2,X_3))),bind(X_8106,$fot(X_11314)),bind(X_8107,$fot(X_11315)),bind(X_8108,$fot(X_11316))]]) ).
cnf(refute_0_217,plain,
is_a_theorem(implies(implies(implies(implies(X_11315,X_11316),implies(X_11315,X_11314)),X_2),implies(X_6,implies(implies(X_11316,X_11314),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314))))) )],[refute_0_216,refute_0_195]) ).
cnf(refute_0_218,plain,
is_a_theorem(implies(implies(implies(implies(X_11341,X_11342),implies(X_11341,X_11340)),implies(X_312,implies(X_315,implies(X_11341,X_11340)))),implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340))))))),
inference(subst,[],[refute_0_217:[bind(X_11314,$fot(X_11340)),bind(X_11315,$fot(X_11341)),bind(X_11316,$fot(X_11342)),bind(X_2,$fot(implies(X_312,implies(X_315,implies(X_11341,X_11340))))),bind(X_6,$fot(X_11344))]]) ).
cnf(refute_0_219,plain,
is_a_theorem(implies(X_316,implies(implies(X_11341,X_11342),implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_11341,X_11342),implies(X_11341,X_11340)),implies(X_312,implies(X_315,implies(X_11341,X_11340)))),implies(X_11344,implies(implies(X_11342,X_11340),implies(X_312,implies(X_315,implies(X_11341,X_11340))))))) )],[refute_0_218,refute_0_194]) ).
cnf(refute_0_220,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14864,X_14865),implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863)))))))),
inference(subst,[],[refute_0_219:[bind(X_11340,$fot(X_14863)),bind(X_11341,$fot(X_14864)),bind(X_11342,$fot(X_14865)),bind(X_11344,$fot(X_14866)),bind(X_312,$fot(X_14867)),bind(X_315,$fot(X_14868)),bind(X_316,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_221,plain,
is_a_theorem(implies(implies(implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863))))),X_2),implies(X_6,implies(implies(X_14864,X_14865),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14864,X_14865),implies(X_14866,implies(implies(X_14865,X_14863),implies(X_14867,implies(X_14868,implies(X_14864,X_14863)))))))) )],[refute_0_220,refute_0_187]) ).
cnf(refute_0_222,plain,
is_a_theorem(implies(implies(implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))),implies(X_14883,implies(X_14879,X_14878))),implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))),
inference(subst,[],[refute_0_221:[bind(X_14863,$fot(X_14878)),bind(X_14864,$fot(X_14879)),bind(X_14865,$fot(X_14880)),bind(X_14866,$fot(X_14881)),bind(X_14867,$fot(implies(X_14879,X_14880))),bind(X_14868,$fot(X_14883)),bind(X_2,$fot(implies(X_14883,implies(X_14879,X_14878)))),bind(X_6,$fot(implies(X_14880,X_14878)))]]) ).
cnf(refute_0_223,plain,
is_a_theorem(implies(X_11294,implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))),implies(X_14883,implies(X_14879,X_14878))),implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))) )],[refute_0_222,refute_0_186]) ).
cnf(refute_0_224,plain,
is_a_theorem(implies(implies(X_15038,implies(X_15037,implies(X_15039,X_15040))),implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))),
inference(subst,[],[refute_0_223:[bind(X_11294,$fot(implies(X_15038,implies(X_15037,implies(X_15039,X_15040)))))]]) ).
cnf(refute_0_225,plain,
( ~ is_a_theorem(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194))
| ~ is_a_theorem(implies(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194),implies(X_1195,implies(X_1199,X_1194))))
| is_a_theorem(implies(X_1195,implies(X_1199,X_1194))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194))),bind(Y,$fot(implies(X_1195,implies(X_1199,X_1194))))]]) ).
cnf(refute_0_226,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_701,implies(X_699,implies(X_698,implies(X_700,X_701))))))
| is_a_theorem(implies(implies(implies(X_699,implies(X_698,implies(X_700,X_701))),X_2),implies(X_6,implies(X_701,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_701)),bind(X_5,$fot(implies(X_699,implies(X_698,implies(X_700,X_701)))))]]) ).
cnf(refute_0_227,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_282,implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))))))
| is_a_theorem(implies(implies(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))),X_2),implies(X_6,implies(X_282,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_282)),bind(X_5,$fot(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282))))))]]) ).
cnf(refute_0_228,plain,
is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233)))))),
inference(subst,[],[refute_0_32:[bind(X_75,$fot(implies(X_234,X_233))),bind(X_77,$fot(implies(X_232,X_234)))]]) ).
cnf(refute_0_229,plain,
( ~ is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233))))))
| is_a_theorem(implies(X_231,implies(X_233,implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233))))))) ),
inference(subst,[],[refute_0_36:[bind(X_83,$fot(X_231)),bind(X_84,$fot(X_232)),bind(X_85,$fot(X_233)),bind(X_86,$fot(X_234)),bind(X_87,$fot(implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233))))))]]) ).
cnf(refute_0_230,plain,
is_a_theorem(implies(X_231,implies(X_233,implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_232,X_234),implies(X_234,X_233)),implies(implies(X_234,X_233),implies(implies(X_74,X_76),implies(X_76,implies(X_234,X_233)))))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_282,implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282))))))),
inference(subst,[],[refute_0_230:[bind(X_231,$fot(implies(X_2,X_3))),bind(X_233,$fot(X_282)),bind(X_234,$fot(X_283)),bind(X_74,$fot(X_284)),bind(X_76,$fot(X_285))]]) ).
cnf(refute_0_232,plain,
is_a_theorem(implies(implies(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))),X_2),implies(X_6,implies(X_282,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_282,implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282))))))) )],[refute_0_231,refute_0_227]) ).
cnf(refute_0_233,plain,
is_a_theorem(implies(implies(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))),implies(X_693,X_695)),implies(X_6,implies(X_282,implies(X_693,X_695))))),
inference(subst,[],[refute_0_232:[bind(X_2,$fot(implies(X_693,X_695)))]]) ).
cnf(refute_0_234,plain,
( ~ is_a_theorem(implies(implies(X_425,implies(X_422,X_424)),X_423))
| ~ is_a_theorem(implies(implies(implies(X_425,implies(X_422,X_424)),X_423),implies(X_426,implies(X_424,X_423))))
| is_a_theorem(implies(X_426,implies(X_424,X_423))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_425,implies(X_422,X_424)),X_423))),bind(Y,$fot(implies(X_426,implies(X_424,X_423))))]]) ).
cnf(refute_0_235,plain,
( ~ is_a_theorem(implies(implies(X_425,implies(X_422,X_424)),X_423))
| is_a_theorem(implies(X_426,implies(X_424,X_423))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_425,implies(X_422,X_424)),X_423),implies(X_426,implies(X_424,X_423)))) )],[refute_0_103,refute_0_234]) ).
cnf(refute_0_236,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))),implies(X_693,X_695)),implies(X_6,implies(X_282,implies(X_693,X_695)))))
| is_a_theorem(implies(X_697,implies(X_695,implies(X_6,implies(X_282,implies(X_693,X_695)))))) ),
inference(subst,[],[refute_0_235:[bind(X_422,$fot(X_693)),bind(X_423,$fot(implies(X_6,implies(X_282,implies(X_693,X_695))))),bind(X_424,$fot(X_695)),bind(X_425,$fot(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))))),bind(X_426,$fot(X_697))]]) ).
cnf(refute_0_237,plain,
is_a_theorem(implies(X_697,implies(X_695,implies(X_6,implies(X_282,implies(X_693,X_695)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_283,X_282),implies(implies(X_284,X_285),implies(X_285,implies(X_283,X_282)))),implies(X_693,X_695)),implies(X_6,implies(X_282,implies(X_693,X_695))))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_701,implies(X_699,implies(X_698,implies(X_700,X_701)))))),
inference(subst,[],[refute_0_237:[bind(X_282,$fot(X_698)),bind(X_6,$fot(X_699)),bind(X_693,$fot(X_700)),bind(X_695,$fot(X_701)),bind(X_697,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_239,plain,
is_a_theorem(implies(implies(implies(X_699,implies(X_698,implies(X_700,X_701))),X_2),implies(X_6,implies(X_701,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_701,implies(X_699,implies(X_698,implies(X_700,X_701)))))) )],[refute_0_238,refute_0_226]) ).
cnf(refute_0_240,plain,
is_a_theorem(implies(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194),implies(X_1195,implies(X_1199,X_1194)))),
inference(subst,[],[refute_0_239:[bind(X_2,$fot(X_1194)),bind(X_6,$fot(X_1195)),bind(X_698,$fot(X_1196)),bind(X_699,$fot(X_1197)),bind(X_700,$fot(X_1198)),bind(X_701,$fot(X_1199))]]) ).
cnf(refute_0_241,plain,
( ~ is_a_theorem(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194))
| is_a_theorem(implies(X_1195,implies(X_1199,X_1194))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1197,implies(X_1196,implies(X_1198,X_1199))),X_1194),implies(X_1195,implies(X_1199,X_1194)))) )],[refute_0_240,refute_0_225]) ).
cnf(refute_0_242,plain,
( ~ is_a_theorem(implies(implies(X_15038,implies(X_15037,implies(X_15039,X_15040))),implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))))
| is_a_theorem(implies(X_15036,implies(X_15040,implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))))) ),
inference(subst,[],[refute_0_241:[bind(X_1194,$fot(implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))),bind(X_1195,$fot(X_15036)),bind(X_1196,$fot(X_15037)),bind(X_1197,$fot(X_15038)),bind(X_1198,$fot(X_15039)),bind(X_1199,$fot(X_15040))]]) ).
cnf(refute_0_243,plain,
is_a_theorem(implies(X_15036,implies(X_15040,implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_15038,implies(X_15037,implies(X_15039,X_15040))),implies(X_14881,implies(implies(X_14880,X_14878),implies(implies(X_14879,X_14880),implies(X_14883,implies(X_14879,X_14878))))))) )],[refute_0_224,refute_0_242]) ).
cnf(refute_0_244,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_15424,implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))))),
inference(subst,[],[refute_0_243:[bind(X_14878,$fot(X_15418)),bind(X_14879,$fot(X_15419)),bind(X_14880,$fot(X_15420)),bind(X_14881,$fot(X_15421)),bind(X_14883,$fot(X_15422)),bind(X_15036,$fot(implies(X_2,X_3))),bind(X_15040,$fot(X_15424))]]) ).
cnf(refute_0_245,plain,
is_a_theorem(implies(implies(implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),X_2),implies(X_6,implies(X_15424,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_15424,implies(X_15421,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))))) )],[refute_0_244,refute_0_169]) ).
cnf(refute_0_246,plain,
is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),implies(X_15419,X_15418)),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),
inference(subst,[],[refute_0_245:[bind(X_15421,$fot(X_16074)),bind(X_15424,$fot(X_15422)),bind(X_2,$fot(implies(X_15419,X_15418))),bind(X_6,$fot(implies(X_15419,X_15420)))]]) ).
cnf(refute_0_247,plain,
( ~ is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),implies(X_15419,X_15418)),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))
| is_a_theorem(implies(X_16074,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(implies(X_15419,X_15418))),bind(X_16070,$fot(X_16074)),bind(X_16071,$fot(implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),bind(X_16072,$fot(implies(X_15420,X_15418)))]]) ).
cnf(refute_0_248,plain,
is_a_theorem(implies(X_16074,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_15420,X_15418),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))),implies(X_15419,X_15418)),implies(implies(X_15419,X_15420),implies(X_15422,implies(X_15419,X_15418))))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_16124,X_16122),implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122)))))),
inference(subst,[],[refute_0_248:[bind(X_15418,$fot(X_16122)),bind(X_15419,$fot(X_16123)),bind(X_15420,$fot(X_16124)),bind(X_15422,$fot(X_16125)),bind(X_16074,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_250,plain,
is_a_theorem(implies(implies(implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122))),X_2),implies(X_6,implies(implies(X_16124,X_16122),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_16124,X_16122),implies(implies(X_16123,X_16124),implies(X_16125,implies(X_16123,X_16122)))))) )],[refute_0_249,refute_0_168]) ).
cnf(refute_0_251,plain,
is_a_theorem(implies(implies(implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))),implies(X_16543,X_16542)),implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))),
inference(subst,[],[refute_0_250:[bind(X_16122,$fot(X_16542)),bind(X_16123,$fot(X_16543)),bind(X_16124,$fot(X_16544)),bind(X_16125,$fot(implies(X_16544,X_16542))),bind(X_2,$fot(implies(X_16543,X_16542))),bind(X_6,$fot(implies(X_16543,X_16544)))]]) ).
cnf(refute_0_252,plain,
is_a_theorem(implies(X_3537,implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))),implies(X_16543,X_16542)),implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))) )],[refute_0_251,refute_0_167]) ).
cnf(refute_0_253,plain,
is_a_theorem(implies(implies(X_17182,implies(X_17183,implies(X_17184,implies(implies(X_17185,X_17184),X_17182)))),implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))),
inference(subst,[],[refute_0_252:[bind(X_3537,$fot(implies(X_17182,implies(X_17183,implies(X_17184,implies(implies(X_17185,X_17184),X_17182))))))]]) ).
cnf(refute_0_254,plain,
( ~ is_a_theorem(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919))
| ~ is_a_theorem(implies(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919),implies(X_925,implies(X_924,X_919))))
| is_a_theorem(implies(X_925,implies(X_924,X_919))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919))),bind(Y,$fot(implies(X_925,implies(X_924,X_919))))]]) ).
cnf(refute_0_255,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_582,implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577)))))))
| is_a_theorem(implies(implies(implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577)))),X_2),implies(X_6,implies(X_582,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_582)),bind(X_5,$fot(implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577))))))]]) ).
cnf(refute_0_256,plain,
( ~ is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237))))))
| is_a_theorem(implies(X_83,implies(X_85,implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237))))))) ),
inference(subst,[],[refute_0_36:[bind(X_87,$fot(implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237))))))]]) ).
cnf(refute_0_257,plain,
is_a_theorem(implies(implies(implies(implies(X_79,X_81),implies(X_81,X_80)),implies(implies(X_81,X_80),X_233)),implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233))))),
inference(subst,[],[refute_0_34:[bind(X_82,$fot(implies(implies(X_81,X_80),X_233)))]]) ).
cnf(refute_0_258,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_79,X_81),implies(X_81,X_80)),implies(implies(X_81,X_80),X_233)),implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233)))))
| is_a_theorem(implies(X_231,implies(X_233,implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233)))))) ),
inference(subst,[],[refute_0_36:[bind(X_83,$fot(X_231)),bind(X_84,$fot(implies(X_79,X_81))),bind(X_85,$fot(X_233)),bind(X_86,$fot(implies(X_81,X_80))),bind(X_87,$fot(implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233)))))]]) ).
cnf(refute_0_259,plain,
is_a_theorem(implies(X_231,implies(X_233,implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_79,X_81),implies(X_81,X_80)),implies(implies(X_81,X_80),X_233)),implies(X_6,implies(X_80,implies(implies(X_81,X_80),X_233))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237)))))),
inference(subst,[],[refute_0_259:[bind(X_231,$fot(implies(implies(X_84,X_86),implies(X_86,X_85)))),bind(X_233,$fot(X_237)),bind(X_6,$fot(X_238)),bind(X_80,$fot(X_239)),bind(X_81,$fot(X_240))]]) ).
cnf(refute_0_261,plain,
is_a_theorem(implies(X_83,implies(X_85,implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_237,implies(X_238,implies(X_239,implies(implies(X_240,X_239),X_237)))))) )],[refute_0_260,refute_0_256]) ).
cnf(refute_0_262,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_582,implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577))))))),
inference(subst,[],[refute_0_261:[bind(X_237,$fot(X_577)),bind(X_238,$fot(X_578)),bind(X_239,$fot(X_579)),bind(X_240,$fot(X_580)),bind(X_83,$fot(implies(X_2,X_3))),bind(X_85,$fot(X_582))]]) ).
cnf(refute_0_263,plain,
is_a_theorem(implies(implies(implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577)))),X_2),implies(X_6,implies(X_582,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_582,implies(X_577,implies(X_578,implies(X_579,implies(implies(X_580,X_579),X_577))))))) )],[refute_0_262,refute_0_255]) ).
cnf(refute_0_264,plain,
is_a_theorem(implies(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919),implies(X_925,implies(X_924,X_919)))),
inference(subst,[],[refute_0_263:[bind(X_2,$fot(X_919)),bind(X_577,$fot(X_920)),bind(X_578,$fot(X_921)),bind(X_579,$fot(X_922)),bind(X_580,$fot(X_923)),bind(X_582,$fot(X_924)),bind(X_6,$fot(X_925))]]) ).
cnf(refute_0_265,plain,
( ~ is_a_theorem(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919))
| is_a_theorem(implies(X_925,implies(X_924,X_919))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_920,implies(X_921,implies(X_922,implies(implies(X_923,X_922),X_920)))),X_919),implies(X_925,implies(X_924,X_919)))) )],[refute_0_264,refute_0_254]) ).
cnf(refute_0_266,plain,
( ~ is_a_theorem(implies(implies(X_17182,implies(X_17183,implies(X_17184,implies(implies(X_17185,X_17184),X_17182)))),implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))))
| is_a_theorem(implies(X_17187,implies(X_17186,implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))))) ),
inference(subst,[],[refute_0_265:[bind(X_919,$fot(implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))),bind(X_920,$fot(X_17182)),bind(X_921,$fot(X_17183)),bind(X_922,$fot(X_17184)),bind(X_923,$fot(X_17185)),bind(X_924,$fot(X_17186)),bind(X_925,$fot(X_17187))]]) ).
cnf(refute_0_267,plain,
is_a_theorem(implies(X_17187,implies(X_17186,implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_17182,implies(X_17183,implies(X_17184,implies(implies(X_17185,X_17184),X_17182)))),implies(X_3536,implies(implies(X_16543,X_16544),implies(implies(X_16544,X_16542),implies(X_16543,X_16542)))))) )],[refute_0_253,refute_0_266]) ).
cnf(refute_0_268,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_17397,implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394))))))),
inference(subst,[],[refute_0_267:[bind(X_16542,$fot(X_17394)),bind(X_16543,$fot(X_17395)),bind(X_16544,$fot(X_17396)),bind(X_17186,$fot(X_17397)),bind(X_17187,$fot(implies(X_2,X_3))),bind(X_3536,$fot(X_17399))]]) ).
cnf(refute_0_269,plain,
is_a_theorem(implies(implies(implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394)))),X_2),implies(X_6,implies(X_17397,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_17397,implies(X_17399,implies(implies(X_17395,X_17396),implies(implies(X_17396,X_17394),implies(X_17395,X_17394))))))) )],[refute_0_268,refute_0_163]) ).
cnf(refute_0_270,plain,
is_a_theorem(implies(implies(implies(X_17906,implies(implies(X_17905,X_17904),implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))),X_17907),implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))),
inference(subst,[],[refute_0_269:[bind(X_17394,$fot(X_17907)),bind(X_17395,$fot(X_17905)),bind(X_17396,$fot(X_17904)),bind(X_17397,$fot(X_17905)),bind(X_17399,$fot(X_17906)),bind(X_2,$fot(X_17907)),bind(X_6,$fot(implies(X_17904,X_17907)))]]) ).
cnf(refute_0_271,plain,
is_a_theorem(implies(X_17906,implies(implies(X_17905,X_17904),implies(implies(X_17904,X_17907),implies(X_17905,X_17907))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_17906,implies(implies(X_17905,X_17904),implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))),X_17907),implies(implies(X_17904,X_17907),implies(X_17905,X_17907)))) )],[refute_0_270,refute_0_162]) ).
cnf(refute_0_272,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_17910,X_17909),implies(implies(X_17909,X_17912),implies(X_17910,X_17912))))),
inference(subst,[],[refute_0_271:[bind(X_17904,$fot(X_17909)),bind(X_17905,$fot(X_17910)),bind(X_17906,$fot(implies(X_2,X_3))),bind(X_17907,$fot(X_17912))]]) ).
cnf(refute_0_273,plain,
is_a_theorem(implies(implies(implies(implies(X_17909,X_17912),implies(X_17910,X_17912)),X_2),implies(X_6,implies(implies(X_17910,X_17909),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_17910,X_17909),implies(implies(X_17909,X_17912),implies(X_17910,X_17912))))) )],[refute_0_272,refute_0_161]) ).
cnf(refute_0_274,plain,
is_a_theorem(implies(implies(implies(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))),implies(X_17914,implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),X_17916),implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),
inference(subst,[],[refute_0_273:[bind(X_17909,$fot(X_17913)),bind(X_17910,$fot(X_17914)),bind(X_17912,$fot(implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),bind(X_2,$fot(X_17916)),bind(X_6,$fot(X_17917))]]) ).
cnf(refute_0_275,plain,
is_a_theorem(implies(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))),implies(X_17914,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_17913,implies(X_17917,implies(implies(X_17914,X_17913),X_17916))),implies(X_17914,implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))),X_17916),implies(X_17917,implies(implies(X_17914,X_17913),X_17916)))) )],[refute_0_274,refute_0_160]) ).
cnf(refute_0_276,plain,
is_a_theorem(implies(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))),implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))))),
inference(subst,[],[refute_0_275:[bind(X_17913,$fot(X_17922)),bind(X_17914,$fot(X_17923)),bind(X_17916,$fot(X_17924)),bind(X_17917,$fot(X_17925))]]) ).
cnf(refute_0_277,plain,
( ~ is_a_theorem(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))))
| is_a_theorem(implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_17922,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))),implies(X_17923,implies(X_17925,implies(implies(X_17923,X_17922),X_17924))))) )],[refute_0_276,refute_0_124]) ).
cnf(refute_0_278,plain,
( ~ is_a_theorem(implies(implies(implies(X_17987,X_3),X_17987),implies(X_17988,implies(implies(X_17986,implies(implies(X_17987,X_3),X_17987)),X_17987))))
| is_a_theorem(implies(X_17986,implies(X_17988,implies(implies(X_17986,implies(implies(X_17987,X_3),X_17987)),X_17987)))) ),
inference(subst,[],[refute_0_277:[bind(X_17922,$fot(implies(implies(X_17987,X_3),X_17987))),bind(X_17923,$fot(X_17986)),bind(X_17924,$fot(X_17987)),bind(X_17925,$fot(X_17988))]]) ).
cnf(refute_0_279,plain,
is_a_theorem(implies(X_17986,implies(X_17988,implies(implies(X_17986,implies(implies(X_17987,X_3),X_17987)),X_17987)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_17987,X_3),X_17987),implies(X_17988,implies(implies(X_17986,implies(implies(X_17987,X_3),X_17987)),X_17987)))) )],[refute_0_123,refute_0_278]) ).
cnf(refute_0_280,plain,
is_a_theorem(implies(X_21202,implies(X_21202,implies(implies(X_21202,implies(implies(X_21201,X_3),X_21201)),X_21201)))),
inference(subst,[],[refute_0_279:[bind(X_17986,$fot(X_21202)),bind(X_17987,$fot(X_21201)),bind(X_17988,$fot(X_21202))]]) ).
cnf(refute_0_281,plain,
( ~ is_a_theorem(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))))
| ~ is_a_theorem(implies(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))),implies(X_19796,implies(X_19799,implies(X_19797,X_19798)))))
| is_a_theorem(implies(X_19796,implies(X_19799,implies(X_19797,X_19798)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))))),bind(Y,$fot(implies(X_19796,implies(X_19799,implies(X_19797,X_19798)))))]]) ).
cnf(refute_0_282,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))),implies(X_19790,implies(X_19795,implies(X_19793,X_19794)))),X_19794),implies(X_19795,implies(X_19793,X_19794))))
| is_a_theorem(implies(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))),implies(X_19790,implies(X_19795,implies(X_19793,X_19794))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_19794)),bind(X_16070,$fot(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))))),bind(X_16071,$fot(implies(X_19795,implies(X_19793,X_19794)))),bind(X_16072,$fot(X_19790))]]) ).
cnf(refute_0_283,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_14525,implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523))))))
| is_a_theorem(implies(implies(implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523))),X_2),implies(X_6,implies(X_14525,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_14525)),bind(X_5,$fot(implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523)))))]]) ).
cnf(refute_0_284,plain,
( ~ is_a_theorem(implies(implies(implies(X_14518,implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))),implies(X_14517,X_14515)),implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))))
| is_a_theorem(implies(X_11294,implies(X_14518,implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))))) ),
inference(subst,[],[refute_0_185:[bind(X_11295,$fot(implies(X_14517,X_14515))),bind(X_11296,$fot(implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515))))),bind(X_11297,$fot(X_14518))]]) ).
cnf(refute_0_285,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_12414,implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410)))))))
| is_a_theorem(implies(implies(implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410)))),X_2),implies(X_6,implies(X_12414,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_12414)),bind(X_5,$fot(implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410))))))]]) ).
cnf(refute_0_286,plain,
( ~ is_a_theorem(implies(implies(implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))),implies(implies(X_12405,X_12404),implies(X_12407,X_12404))),implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404))))))
| is_a_theorem(implies(X_3537,implies(X_3536,implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404))))))) ),
inference(subst,[],[refute_0_166:[bind(X_3534,$fot(implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))))),bind(X_3535,$fot(implies(implies(X_12405,X_12404),implies(X_12407,X_12404))))]]) ).
cnf(refute_0_287,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_11305,implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304)))))))
| is_a_theorem(implies(implies(implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304)))),X_2),implies(X_6,implies(X_11305,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_11305)),bind(X_5,$fot(implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304))))))]]) ).
cnf(refute_0_288,plain,
( ~ is_a_theorem(implies(implies(implies(X_11301,X_11300),implies(implies(X_11301,X_11300),implies(X_315,X_11300))),implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300))))))
| is_a_theorem(implies(X_316,implies(X_11301,implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300))))))) ),
inference(subst,[],[refute_0_193:[bind(X_311,$fot(implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300)))))),bind(X_312,$fot(implies(X_11301,X_11300))),bind(X_313,$fot(X_11300)),bind(X_314,$fot(X_11301))]]) ).
cnf(refute_0_289,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_11297,X_11296),X_11295),X_11296),implies(X_11294,implies(X_11297,X_11296))))
| is_a_theorem(implies(implies(implies(X_11297,X_11296),implies(implies(X_11297,X_11296),X_11295)),implies(X_6,implies(X_11294,implies(implies(X_11297,X_11296),X_11295))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(X_11297,X_11296),X_11295))),bind(X_3,$fot(X_11296)),bind(X_4,$fot(X_11294)),bind(X_5,$fot(implies(X_11297,X_11296)))]]) ).
cnf(refute_0_290,plain,
is_a_theorem(implies(implies(implies(X_11297,X_11296),implies(implies(X_11297,X_11296),X_11295)),implies(X_6,implies(X_11294,implies(implies(X_11297,X_11296),X_11295))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_11297,X_11296),X_11295),X_11296),implies(X_11294,implies(X_11297,X_11296)))) )],[refute_0_184,refute_0_289]) ).
cnf(refute_0_291,plain,
is_a_theorem(implies(implies(implies(X_11301,X_11300),implies(implies(X_11301,X_11300),implies(X_315,X_11300))),implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300)))))),
inference(subst,[],[refute_0_290:[bind(X_11294,$fot(X_11298)),bind(X_11295,$fot(implies(X_315,X_11300))),bind(X_11296,$fot(X_11300)),bind(X_11297,$fot(X_11301)),bind(X_6,$fot(X_11302))]]) ).
cnf(refute_0_292,plain,
is_a_theorem(implies(X_316,implies(X_11301,implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_11301,X_11300),implies(implies(X_11301,X_11300),implies(X_315,X_11300))),implies(X_11302,implies(X_11298,implies(implies(X_11301,X_11300),implies(X_315,X_11300)))))) )],[refute_0_291,refute_0_288]) ).
cnf(refute_0_293,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_11305,implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304))))))),
inference(subst,[],[refute_0_292:[bind(X_11298,$fot(X_11303)),bind(X_11300,$fot(X_11304)),bind(X_11301,$fot(X_11305)),bind(X_11302,$fot(X_11306)),bind(X_315,$fot(X_11307)),bind(X_316,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_294,plain,
is_a_theorem(implies(implies(implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304)))),X_2),implies(X_6,implies(X_11305,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_11305,implies(X_11306,implies(X_11303,implies(implies(X_11305,X_11304),implies(X_11307,X_11304))))))) )],[refute_0_293,refute_0_287]) ).
cnf(refute_0_295,plain,
is_a_theorem(implies(implies(implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))),implies(implies(X_12405,X_12404),implies(X_12407,X_12404))),implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))))),
inference(subst,[],[refute_0_294:[bind(X_11303,$fot(X_12405)),bind(X_11304,$fot(X_12404)),bind(X_11305,$fot(X_12405)),bind(X_11306,$fot(X_12409)),bind(X_11307,$fot(X_12407)),bind(X_2,$fot(implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))),bind(X_6,$fot(X_12409))]]) ).
cnf(refute_0_296,plain,
is_a_theorem(implies(X_3537,implies(X_3536,implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))),implies(implies(X_12405,X_12404),implies(X_12407,X_12404))),implies(X_12409,implies(X_12405,implies(implies(X_12405,X_12404),implies(X_12407,X_12404)))))) )],[refute_0_295,refute_0_286]) ).
cnf(refute_0_297,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_12414,implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410))))))),
inference(subst,[],[refute_0_296:[bind(X_12404,$fot(X_12410)),bind(X_12405,$fot(X_12411)),bind(X_12407,$fot(X_12412)),bind(X_12409,$fot(X_12413)),bind(X_3536,$fot(X_12414)),bind(X_3537,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_298,plain,
is_a_theorem(implies(implies(implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410)))),X_2),implies(X_6,implies(X_12414,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_12414,implies(X_12413,implies(X_12411,implies(implies(X_12411,X_12410),implies(X_12412,X_12410))))))) )],[refute_0_297,refute_0_285]) ).
cnf(refute_0_299,plain,
is_a_theorem(implies(implies(implies(X_14518,implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))),implies(X_14517,X_14515)),implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515))))),
inference(subst,[],[refute_0_298:[bind(X_12410,$fot(X_14515)),bind(X_12411,$fot(X_14521)),bind(X_12412,$fot(X_14517)),bind(X_12413,$fot(X_14518)),bind(X_12414,$fot(implies(X_14521,X_14515))),bind(X_2,$fot(implies(X_14517,X_14515))),bind(X_6,$fot(X_14521))]]) ).
cnf(refute_0_300,plain,
is_a_theorem(implies(X_11294,implies(X_14518,implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_14518,implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515)))),implies(X_14517,X_14515)),implies(X_14521,implies(implies(X_14521,X_14515),implies(X_14517,X_14515))))) )],[refute_0_299,refute_0_284]) ).
cnf(refute_0_301,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_14525,implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523)))))),
inference(subst,[],[refute_0_300:[bind(X_11294,$fot(implies(X_2,X_3))),bind(X_14515,$fot(X_14523)),bind(X_14517,$fot(X_14524)),bind(X_14518,$fot(X_14525)),bind(X_14521,$fot(X_14526))]]) ).
cnf(refute_0_302,plain,
is_a_theorem(implies(implies(implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523))),X_2),implies(X_6,implies(X_14525,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_14525,implies(X_14526,implies(implies(X_14526,X_14523),implies(X_14524,X_14523)))))) )],[refute_0_301,refute_0_283]) ).
cnf(refute_0_303,plain,
is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_16074,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073)))),X_16073),implies(X_14524,implies(X_14525,X_16073)))),
inference(subst,[],[refute_0_302:[bind(X_14523,$fot(implies(X_14525,X_16073))),bind(X_14526,$fot(X_16074)),bind(X_2,$fot(X_16073)),bind(X_6,$fot(X_14524))]]) ).
cnf(refute_0_304,plain,
( ~ is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_16074,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073)))),X_16073),implies(X_14524,implies(X_14525,X_16073))))
| is_a_theorem(implies(X_16074,implies(implies(X_16074,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_16073)),bind(X_16070,$fot(X_16074)),bind(X_16071,$fot(implies(X_14524,implies(X_14525,X_16073)))),bind(X_16072,$fot(implies(X_16074,implies(X_14525,X_16073))))]]) ).
cnf(refute_0_305,plain,
is_a_theorem(implies(X_16074,implies(implies(X_16074,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16074,implies(implies(X_16074,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073)))),X_16073),implies(X_14524,implies(X_14525,X_16073)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
is_a_theorem(implies(X_19488,implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))))),
inference(subst,[],[refute_0_305:[bind(X_16074,$fot(X_19488))]]) ).
cnf(refute_0_307,plain,
( ~ is_a_theorem(implies(X_19484,X_19481))
| ~ is_a_theorem(implies(implies(X_19484,X_19481),implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483)))))
| is_a_theorem(implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_19484,X_19481))),bind(Y,$fot(implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483)))))]]) ).
cnf(refute_0_308,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_19475,X_19471),implies(implies(X_19471,X_19474),implies(X_19475,implies(X_19473,X_19474)))),X_19474),implies(X_19475,implies(X_19473,X_19474))))
| is_a_theorem(implies(implies(X_19475,X_19471),implies(implies(X_19471,X_19474),implies(X_19475,implies(X_19473,X_19474))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_19474)),bind(X_16070,$fot(implies(X_19475,X_19471))),bind(X_16071,$fot(implies(X_19475,implies(X_19473,X_19474)))),bind(X_16072,$fot(implies(X_19471,X_19474)))]]) ).
cnf(refute_0_309,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_19467,implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464)))))))
| is_a_theorem(implies(implies(implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464)))),X_2),implies(X_6,implies(X_19467,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_19467)),bind(X_5,$fot(implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464))))))]]) ).
cnf(refute_0_310,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))),implies(implies(X_18626,X_18625),implies(X_18628,implies(X_18626,X_18627)))),X_18627),implies(X_18628,implies(X_18626,X_18627))))
| is_a_theorem(implies(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))),implies(implies(X_18626,X_18625),implies(X_18628,implies(X_18626,X_18627))))) ),
inference(subst,[],[refute_0_159:[bind(X_16069,$fot(X_18627)),bind(X_16070,$fot(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))))),bind(X_16071,$fot(implies(X_18628,implies(X_18626,X_18627)))),bind(X_16072,$fot(implies(X_18626,X_18625)))]]) ).
cnf(refute_0_311,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_18603,implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601))))))
| is_a_theorem(implies(implies(implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601))),X_2),implies(X_6,implies(X_18603,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_18603)),bind(X_5,$fot(implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601)))))]]) ).
cnf(refute_0_312,plain,
( ~ is_a_theorem(X_3531)
| ~ is_a_theorem(implies(X_3531,implies(X_3530,X_3531)))
| is_a_theorem(implies(X_3530,X_3531)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3531)),bind(Y,$fot(implies(X_3530,X_3531)))]]) ).
cnf(refute_0_313,plain,
is_a_theorem(implies(X_3531,implies(X_3530,X_3531))),
inference(subst,[],[refute_0_120:[bind(X_3527,$fot(X_3530)),bind(X_3528,$fot(X_3531))]]) ).
cnf(refute_0_314,plain,
( ~ is_a_theorem(X_3531)
| is_a_theorem(implies(X_3530,X_3531)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3531,implies(X_3530,X_3531))) )],[refute_0_313,refute_0_312]) ).
cnf(refute_0_315,plain,
( ~ is_a_theorem(implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009)))))
| is_a_theorem(implies(X_3530,implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009)))))) ),
inference(subst,[],[refute_0_314:[bind(X_3531,$fot(implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009))))))]]) ).
cnf(refute_0_316,plain,
is_a_theorem(implies(X_17985,implies(implies(X_17985,implies(X_14525,X_16073)),implies(implies(X_17986,X_17985),implies(X_14525,X_16073))))),
inference(subst,[],[refute_0_305:[bind(X_14524,$fot(implies(X_17986,X_17985))),bind(X_16074,$fot(X_17985))]]) ).
cnf(refute_0_317,plain,
( ~ is_a_theorem(implies(X_17985,implies(implies(X_17985,implies(X_14525,X_16073)),implies(implies(X_17986,X_17985),implies(X_14525,X_16073)))))
| is_a_theorem(implies(X_17986,implies(implies(X_17985,implies(X_14525,X_16073)),implies(implies(X_17986,X_17985),implies(X_14525,X_16073))))) ),
inference(subst,[],[refute_0_277:[bind(X_17922,$fot(X_17985)),bind(X_17923,$fot(X_17986)),bind(X_17924,$fot(implies(X_14525,X_16073))),bind(X_17925,$fot(implies(X_17985,implies(X_14525,X_16073))))]]) ).
cnf(refute_0_318,plain,
is_a_theorem(implies(X_17986,implies(implies(X_17985,implies(X_14525,X_16073)),implies(implies(X_17986,X_17985),implies(X_14525,X_16073))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_17985,implies(implies(X_17985,implies(X_14525,X_16073)),implies(implies(X_17986,X_17985),implies(X_14525,X_16073))))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
is_a_theorem(implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009))))),
inference(subst,[],[refute_0_318:[bind(X_14525,$fot(X_18008)),bind(X_16073,$fot(X_18009)),bind(X_17985,$fot(X_18010)),bind(X_17986,$fot(X_18011))]]) ).
cnf(refute_0_320,plain,
is_a_theorem(implies(X_3530,implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009)))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_18011,implies(implies(X_18010,implies(X_18008,X_18009)),implies(implies(X_18011,X_18010),implies(X_18008,X_18009))))) )],[refute_0_319,refute_0_315]) ).
cnf(refute_0_321,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_18603,implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601)))))),
inference(subst,[],[refute_0_320:[bind(X_18008,$fot(X_18600)),bind(X_18009,$fot(X_18601)),bind(X_18010,$fot(X_18602)),bind(X_18011,$fot(X_18603)),bind(X_3530,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_322,plain,
is_a_theorem(implies(implies(implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601))),X_2),implies(X_6,implies(X_18603,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_18603,implies(implies(X_18602,implies(X_18600,X_18601)),implies(implies(X_18603,X_18602),implies(X_18600,X_18601)))))) )],[refute_0_321,refute_0_311]) ).
cnf(refute_0_323,plain,
is_a_theorem(implies(implies(implies(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))),implies(implies(X_18626,X_18625),implies(X_18628,implies(X_18626,X_18627)))),X_18627),implies(X_18628,implies(X_18626,X_18627)))),
inference(subst,[],[refute_0_322:[bind(X_18600,$fot(X_18628)),bind(X_18601,$fot(implies(X_18626,X_18627))),bind(X_18602,$fot(X_18625)),bind(X_18603,$fot(X_18626)),bind(X_2,$fot(X_18627)),bind(X_6,$fot(X_18628))]]) ).
cnf(refute_0_324,plain,
is_a_theorem(implies(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))),implies(implies(X_18626,X_18625),implies(X_18628,implies(X_18626,X_18627))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_18625,implies(X_18628,implies(X_18626,X_18627))),implies(implies(X_18626,X_18625),implies(X_18628,implies(X_18626,X_18627)))),X_18627),implies(X_18628,implies(X_18626,X_18627)))) )],[refute_0_323,refute_0_310]) ).
cnf(refute_0_325,plain,
is_a_theorem(implies(implies(X_19441,implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))),implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))))),
inference(subst,[],[refute_0_324:[bind(X_18625,$fot(X_19441)),bind(X_18626,$fot(X_19439)),bind(X_18627,$fot(implies(X_19442,X_19440))),bind(X_18628,$fot(implies(X_19441,X_19440)))]]) ).
cnf(refute_0_326,plain,
( ~ is_a_theorem(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208))
| ~ is_a_theorem(implies(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208),implies(X_1214,implies(X_1213,X_1208))))
| is_a_theorem(implies(X_1214,implies(X_1213,X_1208))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208))),bind(Y,$fot(implies(X_1214,implies(X_1213,X_1208))))]]) ).
cnf(refute_0_327,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_257,implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253)))))))
| is_a_theorem(implies(implies(implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253)))),X_2),implies(X_6,implies(X_257,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_257)),bind(X_5,$fot(implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253))))))]]) ).
cnf(refute_0_328,plain,
( ~ is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))
| is_a_theorem(implies(X_83,implies(X_85,implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))) ),
inference(subst,[],[refute_0_36:[bind(X_87,$fot(implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))]]) ).
cnf(refute_0_329,plain,
is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))),
inference(subst,[],[refute_0_38:[bind(T,$fot(X_247)),bind(X_231,$fot(implies(implies(X_84,X_86),implies(X_86,X_85)))),bind(X_232,$fot(X_249)),bind(X_233,$fot(X_250)),bind(X_234,$fot(X_251))]]) ).
cnf(refute_0_330,plain,
is_a_theorem(implies(X_83,implies(X_85,implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_84,X_86),implies(X_86,X_85)),implies(X_250,implies(implies(X_250,X_249),implies(X_247,implies(X_251,X_249)))))) )],[refute_0_329,refute_0_328]) ).
cnf(refute_0_331,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_257,implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253))))))),
inference(subst,[],[refute_0_330:[bind(X_247,$fot(X_252)),bind(X_249,$fot(X_253)),bind(X_250,$fot(X_254)),bind(X_251,$fot(X_255)),bind(X_83,$fot(implies(X_2,X_3))),bind(X_85,$fot(X_257))]]) ).
cnf(refute_0_332,plain,
is_a_theorem(implies(implies(implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253)))),X_2),implies(X_6,implies(X_257,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_257,implies(X_254,implies(implies(X_254,X_253),implies(X_252,implies(X_255,X_253))))))) )],[refute_0_331,refute_0_327]) ).
cnf(refute_0_333,plain,
is_a_theorem(implies(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208),implies(X_1214,implies(X_1213,X_1208)))),
inference(subst,[],[refute_0_332:[bind(X_2,$fot(X_1208)),bind(X_252,$fot(X_1209)),bind(X_253,$fot(X_1210)),bind(X_254,$fot(X_1211)),bind(X_255,$fot(X_1212)),bind(X_257,$fot(X_1213)),bind(X_6,$fot(X_1214))]]) ).
cnf(refute_0_334,plain,
( ~ is_a_theorem(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208))
| is_a_theorem(implies(X_1214,implies(X_1213,X_1208))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1211,implies(implies(X_1211,X_1210),implies(X_1209,implies(X_1212,X_1210)))),X_1208),implies(X_1214,implies(X_1213,X_1208)))) )],[refute_0_333,refute_0_326]) ).
cnf(refute_0_335,plain,
( ~ is_a_theorem(implies(implies(X_19441,implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))),implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440))))))
| is_a_theorem(implies(X_19444,implies(X_19443,implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440))))))) ),
inference(subst,[],[refute_0_334:[bind(X_1208,$fot(implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))))),bind(X_1209,$fot(X_19439)),bind(X_1210,$fot(X_19440)),bind(X_1211,$fot(X_19441)),bind(X_1212,$fot(X_19442)),bind(X_1213,$fot(X_19443)),bind(X_1214,$fot(X_19444))]]) ).
cnf(refute_0_336,plain,
is_a_theorem(implies(X_19444,implies(X_19443,implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_19441,implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))),implies(implies(X_19439,X_19441),implies(implies(X_19441,X_19440),implies(X_19439,implies(X_19442,X_19440)))))) )],[refute_0_325,refute_0_335]) ).
cnf(refute_0_337,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_19467,implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464))))))),
inference(subst,[],[refute_0_336:[bind(X_19439,$fot(X_19463)),bind(X_19440,$fot(X_19464)),bind(X_19441,$fot(X_19465)),bind(X_19442,$fot(X_19466)),bind(X_19443,$fot(X_19467)),bind(X_19444,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_338,plain,
is_a_theorem(implies(implies(implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464)))),X_2),implies(X_6,implies(X_19467,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_19467,implies(implies(X_19463,X_19465),implies(implies(X_19465,X_19464),implies(X_19463,implies(X_19466,X_19464))))))) )],[refute_0_337,refute_0_309]) ).
cnf(refute_0_339,plain,
is_a_theorem(implies(implies(implies(implies(X_19475,X_19471),implies(implies(X_19471,X_19474),implies(X_19475,implies(X_19473,X_19474)))),X_19474),implies(X_19475,implies(X_19473,X_19474)))),
inference(subst,[],[refute_0_338:[bind(X_19463,$fot(X_19475)),bind(X_19464,$fot(X_19474)),bind(X_19465,$fot(X_19471)),bind(X_19466,$fot(X_19473)),bind(X_19467,$fot(X_19473)),bind(X_2,$fot(X_19474)),bind(X_6,$fot(X_19475))]]) ).
cnf(refute_0_340,plain,
is_a_theorem(implies(implies(X_19475,X_19471),implies(implies(X_19471,X_19474),implies(X_19475,implies(X_19473,X_19474))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_19475,X_19471),implies(implies(X_19471,X_19474),implies(X_19475,implies(X_19473,X_19474)))),X_19474),implies(X_19475,implies(X_19473,X_19474)))) )],[refute_0_339,refute_0_308]) ).
cnf(refute_0_341,plain,
is_a_theorem(implies(implies(X_19484,X_19481),implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483))))),
inference(subst,[],[refute_0_340:[bind(X_19471,$fot(X_19481)),bind(X_19473,$fot(X_19482)),bind(X_19474,$fot(X_19483)),bind(X_19475,$fot(X_19484))]]) ).
cnf(refute_0_342,plain,
( ~ is_a_theorem(implies(X_19484,X_19481))
| is_a_theorem(implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_19484,X_19481),implies(implies(X_19481,X_19483),implies(X_19484,implies(X_19482,X_19483))))) )],[refute_0_341,refute_0_307]) ).
cnf(refute_0_343,plain,
( ~ is_a_theorem(implies(X_19488,implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073)))))
| is_a_theorem(implies(implies(implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))),X_19487),implies(X_19488,implies(X_19486,X_19487)))) ),
inference(subst,[],[refute_0_342:[bind(X_19481,$fot(implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))))),bind(X_19482,$fot(X_19486)),bind(X_19483,$fot(X_19487)),bind(X_19484,$fot(X_19488))]]) ).
cnf(refute_0_344,plain,
is_a_theorem(implies(implies(implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))),X_19487),implies(X_19488,implies(X_19486,X_19487)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_19488,implies(implies(X_19488,implies(X_14525,X_16073)),implies(X_14524,implies(X_14525,X_16073))))) )],[refute_0_306,refute_0_343]) ).
cnf(refute_0_345,plain,
is_a_theorem(implies(implies(implies(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))),implies(X_19790,implies(X_19795,implies(X_19793,X_19794)))),X_19794),implies(X_19795,implies(X_19793,X_19794)))),
inference(subst,[],[refute_0_344:[bind(X_14524,$fot(X_19790)),bind(X_14525,$fot(X_19795)),bind(X_16073,$fot(implies(X_19793,X_19794))),bind(X_19486,$fot(X_19793)),bind(X_19487,$fot(X_19794)),bind(X_19488,$fot(X_19795))]]) ).
cnf(refute_0_346,plain,
is_a_theorem(implies(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))),implies(X_19790,implies(X_19795,implies(X_19793,X_19794))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_19795,implies(X_19795,implies(X_19793,X_19794))),implies(X_19790,implies(X_19795,implies(X_19793,X_19794)))),X_19794),implies(X_19795,implies(X_19793,X_19794)))) )],[refute_0_345,refute_0_282]) ).
cnf(refute_0_347,plain,
is_a_theorem(implies(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))),implies(X_19796,implies(X_19799,implies(X_19797,X_19798))))),
inference(subst,[],[refute_0_346:[bind(X_19790,$fot(X_19796)),bind(X_19793,$fot(X_19797)),bind(X_19794,$fot(X_19798)),bind(X_19795,$fot(X_19799))]]) ).
cnf(refute_0_348,plain,
( ~ is_a_theorem(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))))
| is_a_theorem(implies(X_19796,implies(X_19799,implies(X_19797,X_19798)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_19799,implies(X_19799,implies(X_19797,X_19798))),implies(X_19796,implies(X_19799,implies(X_19797,X_19798))))) )],[refute_0_347,refute_0_281]) ).
cnf(refute_0_349,plain,
( ~ is_a_theorem(implies(X_21202,implies(X_21202,implies(implies(X_21202,implies(implies(X_21201,X_3),X_21201)),X_21201))))
| is_a_theorem(implies(X_21199,implies(X_21202,implies(implies(X_21202,implies(implies(X_21201,X_3),X_21201)),X_21201)))) ),
inference(subst,[],[refute_0_348:[bind(X_19796,$fot(X_21199)),bind(X_19797,$fot(implies(X_21202,implies(implies(X_21201,X_3),X_21201)))),bind(X_19798,$fot(X_21201)),bind(X_19799,$fot(X_21202))]]) ).
cnf(refute_0_350,plain,
is_a_theorem(implies(X_21199,implies(X_21202,implies(implies(X_21202,implies(implies(X_21201,X_3),X_21201)),X_21201)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_21202,implies(X_21202,implies(implies(X_21202,implies(implies(X_21201,X_3),X_21201)),X_21201)))) )],[refute_0_280,refute_0_349]) ).
cnf(refute_0_351,plain,
is_a_theorem(implies(X_21211,implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212)))),
inference(subst,[],[refute_0_350:[bind(X_21199,$fot(X_21211)),bind(X_21201,$fot(X_21212)),bind(X_21202,$fot(X_21213)),bind(X_3,$fot(X_21214))]]) ).
cnf(refute_0_352,plain,
( ~ is_a_theorem(X_21211)
| is_a_theorem(implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_21211,implies(X_21213,implies(implies(X_21213,implies(implies(X_21212,X_21214),X_21212)),X_21212)))) )],[refute_0_351,refute_0_65]) ).
cnf(refute_0_353,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(X_22348,implies(implies(X_22348,implies(implies(X_22347,X_22349),X_22347)),X_22347))) ),
inference(subst,[],[refute_0_352:[bind(X_21211,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_21212,$fot(X_22347)),bind(X_21213,$fot(X_22348)),bind(X_21214,$fot(X_22349))]]) ).
cnf(refute_0_354,plain,
is_a_theorem(implies(X_22348,implies(implies(X_22348,implies(implies(X_22347,X_22349),X_22347)),X_22347))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_353]) ).
cnf(refute_0_355,plain,
is_a_theorem(implies(X_23667,implies(implies(X_23667,implies(implies(X_23666,X_22349),X_23666)),X_23666))),
inference(subst,[],[refute_0_354:[bind(X_22347,$fot(X_23666)),bind(X_22348,$fot(X_23667))]]) ).
cnf(refute_0_356,plain,
( ~ is_a_theorem(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)))
| ~ is_a_theorem(implies(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)),implies(X_23403,implies(X_23400,X_23401))))
| is_a_theorem(implies(X_23403,implies(X_23400,X_23401))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)))),bind(Y,$fot(implies(X_23403,implies(X_23400,X_23401))))]]) ).
cnf(refute_0_357,plain,
( ~ is_a_theorem(X_21298)
| ~ is_a_theorem(implies(X_21298,implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300))))
| is_a_theorem(implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_21298)),bind(Y,$fot(implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300))))]]) ).
cnf(refute_0_358,plain,
is_a_theorem(implies(implies(implies(X_3520,X_21200),X_21201),implies(implies(implies(X_3520,X_21200),X_21201),implies(X_21200,X_21201)))),
inference(subst,[],[refute_0_202:[bind(X_2,$fot(X_21201)),bind(X_3521,$fot(X_21200)),bind(X_6,$fot(implies(implies(X_3520,X_21200),X_21201)))]]) ).
cnf(refute_0_359,plain,
( ~ is_a_theorem(implies(implies(implies(X_3520,X_21200),X_21201),implies(implies(implies(X_3520,X_21200),X_21201),implies(X_21200,X_21201))))
| is_a_theorem(implies(X_21199,implies(implies(implies(X_3520,X_21200),X_21201),implies(X_21200,X_21201)))) ),
inference(subst,[],[refute_0_348:[bind(X_19796,$fot(X_21199)),bind(X_19797,$fot(X_21200)),bind(X_19798,$fot(X_21201)),bind(X_19799,$fot(implies(implies(X_3520,X_21200),X_21201)))]]) ).
cnf(refute_0_360,plain,
is_a_theorem(implies(X_21199,implies(implies(implies(X_3520,X_21200),X_21201),implies(X_21200,X_21201)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3520,X_21200),X_21201),implies(implies(implies(X_3520,X_21200),X_21201),implies(X_21200,X_21201)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
is_a_theorem(implies(X_21298,implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300)))),
inference(subst,[],[refute_0_360:[bind(X_21199,$fot(X_21298)),bind(X_21200,$fot(X_21299)),bind(X_21201,$fot(X_21300)),bind(X_3520,$fot(X_21301))]]) ).
cnf(refute_0_362,plain,
( ~ is_a_theorem(X_21298)
| is_a_theorem(implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_21298,implies(implies(implies(X_21301,X_21299),X_21300),implies(X_21299,X_21300)))) )],[refute_0_361,refute_0_357]) ).
cnf(refute_0_363,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(implies(implies(X_21327,X_21325),X_21326),implies(X_21325,X_21326))) ),
inference(subst,[],[refute_0_362:[bind(X_21298,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_21299,$fot(X_21325)),bind(X_21300,$fot(X_21326)),bind(X_21301,$fot(X_21327))]]) ).
cnf(refute_0_364,plain,
is_a_theorem(implies(implies(implies(X_21327,X_21325),X_21326),implies(X_21325,X_21326))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_363]) ).
cnf(refute_0_365,plain,
( ~ is_a_theorem(implies(X_23159,X_23157))
| ~ is_a_theorem(implies(implies(X_23159,X_23157),implies(implies(X_23158,X_23159),implies(X_23158,X_23157))))
| is_a_theorem(implies(implies(X_23158,X_23159),implies(X_23158,X_23157))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_23159,X_23157))),bind(Y,$fot(implies(implies(X_23158,X_23159),implies(X_23158,X_23157))))]]) ).
cnf(refute_0_366,plain,
( ~ is_a_theorem(X_11313)
| ~ is_a_theorem(implies(X_11313,implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314)))))
| is_a_theorem(implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_11313)),bind(Y,$fot(implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314)))))]]) ).
cnf(refute_0_367,plain,
is_a_theorem(implies(X_11313,implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314))))),
inference(subst,[],[refute_0_215:[bind(X_11309,$fot(X_11313)),bind(X_8106,$fot(X_11314)),bind(X_8107,$fot(X_11315)),bind(X_8108,$fot(X_11316))]]) ).
cnf(refute_0_368,plain,
( ~ is_a_theorem(X_11313)
| is_a_theorem(implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_11313,implies(implies(X_11316,X_11314),implies(implies(X_11315,X_11316),implies(X_11315,X_11314))))) )],[refute_0_367,refute_0_366]) ).
cnf(refute_0_369,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))
| is_a_theorem(implies(implies(X_23156,X_23154),implies(implies(X_23155,X_23156),implies(X_23155,X_23154)))) ),
inference(subst,[],[refute_0_368:[bind(X_11313,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782))))),bind(X_11314,$fot(X_23154)),bind(X_11315,$fot(X_23155)),bind(X_11316,$fot(X_23156))]]) ).
cnf(refute_0_370,plain,
is_a_theorem(implies(implies(X_23156,X_23154),implies(implies(X_23155,X_23156),implies(X_23155,X_23154)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_2033,X_2032),X_2032),implies(X_2032,implies(X_2034,X_2032))),X_2036),implies(X_2037,implies(X_2035,X_2036))),X_2039),implies(X_2038,implies(X_2040,X_2039))),X_782),implies(X_781,implies(X_784,X_782)))) )],[refute_0_64,refute_0_369]) ).
cnf(refute_0_371,plain,
is_a_theorem(implies(implies(X_23159,X_23157),implies(implies(X_23158,X_23159),implies(X_23158,X_23157)))),
inference(subst,[],[refute_0_370:[bind(X_23154,$fot(X_23157)),bind(X_23155,$fot(X_23158)),bind(X_23156,$fot(X_23159))]]) ).
cnf(refute_0_372,plain,
( ~ is_a_theorem(implies(X_23159,X_23157))
| is_a_theorem(implies(implies(X_23158,X_23159),implies(X_23158,X_23157))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_23159,X_23157),implies(implies(X_23158,X_23159),implies(X_23158,X_23157)))) )],[refute_0_371,refute_0_365]) ).
cnf(refute_0_373,plain,
( ~ is_a_theorem(implies(implies(implies(X_21327,X_21325),X_21326),implies(X_21325,X_21326)))
| is_a_theorem(implies(implies(X_23176,implies(implies(X_21327,X_21325),X_21326)),implies(X_23176,implies(X_21325,X_21326)))) ),
inference(subst,[],[refute_0_372:[bind(X_23157,$fot(implies(X_21325,X_21326))),bind(X_23158,$fot(X_23176)),bind(X_23159,$fot(implies(implies(X_21327,X_21325),X_21326)))]]) ).
cnf(refute_0_374,plain,
is_a_theorem(implies(implies(X_23176,implies(implies(X_21327,X_21325),X_21326)),implies(X_23176,implies(X_21325,X_21326)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_21327,X_21325),X_21326),implies(X_21325,X_21326))) )],[refute_0_364,refute_0_373]) ).
cnf(refute_0_375,plain,
is_a_theorem(implies(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)),implies(X_23403,implies(X_23400,X_23401)))),
inference(subst,[],[refute_0_374:[bind(X_21325,$fot(X_23400)),bind(X_21326,$fot(X_23401)),bind(X_21327,$fot(X_23402)),bind(X_23176,$fot(X_23403))]]) ).
cnf(refute_0_376,plain,
( ~ is_a_theorem(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)))
| is_a_theorem(implies(X_23403,implies(X_23400,X_23401))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_23403,implies(implies(X_23402,X_23400),X_23401)),implies(X_23403,implies(X_23400,X_23401)))) )],[refute_0_375,refute_0_356]) ).
cnf(refute_0_377,plain,
( ~ is_a_theorem(implies(X_23667,implies(implies(X_23667,implies(implies(X_23666,X_22349),X_23666)),X_23666)))
| is_a_theorem(implies(X_23667,implies(implies(implies(X_23666,X_22349),X_23666),X_23666))) ),
inference(subst,[],[refute_0_376:[bind(X_23400,$fot(implies(implies(X_23666,X_22349),X_23666))),bind(X_23401,$fot(X_23666)),bind(X_23402,$fot(X_23667)),bind(X_23403,$fot(X_23667))]]) ).
cnf(refute_0_378,plain,
is_a_theorem(implies(X_23667,implies(implies(implies(X_23666,X_22349),X_23666),X_23666))),
inference(resolve,[$cnf( is_a_theorem(implies(X_23667,implies(implies(X_23667,implies(implies(X_23666,X_22349),X_23666)),X_23666))) )],[refute_0_355,refute_0_377]) ).
cnf(refute_0_379,plain,
is_a_theorem(implies(implies(X_24131,X_24131),implies(implies(implies(X_23666,X_22349),X_23666),X_23666))),
inference(subst,[],[refute_0_378:[bind(X_23667,$fot(implies(X_24131,X_24131)))]]) ).
cnf(refute_0_380,plain,
( ~ is_a_theorem(implies(implies(X_23696,X_23696),X_23695))
| ~ is_a_theorem(implies(implies(implies(X_23696,X_23696),X_23695),X_23695))
| is_a_theorem(X_23695) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_23696,X_23696),X_23695))),bind(Y,$fot(X_23695))]]) ).
cnf(refute_0_381,plain,
( ~ is_a_theorem(X_23670)
| ~ is_a_theorem(implies(X_23670,implies(implies(X_23670,X_23669),X_23669)))
| is_a_theorem(implies(implies(X_23670,X_23669),X_23669)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_23670)),bind(Y,$fot(implies(implies(X_23670,X_23669),X_23669)))]]) ).
cnf(refute_0_382,plain,
( ~ is_a_theorem(X_19492)
| ~ is_a_theorem(implies(X_19492,implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494))))
| is_a_theorem(implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_19492)),bind(Y,$fot(implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494))))]]) ).
cnf(refute_0_383,plain,
( ~ is_a_theorem(implies(implies(X_19489,X_19491),implies(X_19489,implies(implies(X_17923,implies(X_19489,X_19491)),X_19491))))
| is_a_theorem(implies(X_17923,implies(X_19489,implies(implies(X_17923,implies(X_19489,X_19491)),X_19491)))) ),
inference(subst,[],[refute_0_277:[bind(X_17922,$fot(implies(X_19489,X_19491))),bind(X_17924,$fot(X_19491)),bind(X_17925,$fot(X_19489))]]) ).
cnf(refute_0_384,plain,
is_a_theorem(implies(X_19485,X_19485)),
inference(subst,[],[refute_0_144:[bind(X_3959,$fot(X_19485))]]) ).
cnf(refute_0_385,plain,
( ~ is_a_theorem(implies(X_19485,X_19485))
| is_a_theorem(implies(implies(X_19485,X_19487),implies(X_19485,implies(X_19486,X_19487)))) ),
inference(subst,[],[refute_0_342:[bind(X_19481,$fot(X_19485)),bind(X_19482,$fot(X_19486)),bind(X_19483,$fot(X_19487)),bind(X_19484,$fot(X_19485))]]) ).
cnf(refute_0_386,plain,
is_a_theorem(implies(implies(X_19485,X_19487),implies(X_19485,implies(X_19486,X_19487)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_19485,X_19485)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
is_a_theorem(implies(implies(X_19489,X_19491),implies(X_19489,implies(implies(X_17923,implies(X_19489,X_19491)),X_19491)))),
inference(subst,[],[refute_0_386:[bind(X_19485,$fot(X_19489)),bind(X_19486,$fot(implies(X_17923,implies(X_19489,X_19491)))),bind(X_19487,$fot(X_19491))]]) ).
cnf(refute_0_388,plain,
is_a_theorem(implies(X_17923,implies(X_19489,implies(implies(X_17923,implies(X_19489,X_19491)),X_19491)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_19489,X_19491),implies(X_19489,implies(implies(X_17923,implies(X_19489,X_19491)),X_19491)))) )],[refute_0_387,refute_0_383]) ).
cnf(refute_0_389,plain,
is_a_theorem(implies(X_19492,implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494)))),
inference(subst,[],[refute_0_388:[bind(X_17923,$fot(X_19492)),bind(X_19489,$fot(X_19493)),bind(X_19491,$fot(X_19494))]]) ).
cnf(refute_0_390,plain,
( ~ is_a_theorem(X_19492)
| is_a_theorem(implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_19492,implies(X_19493,implies(implies(X_19492,implies(X_19493,X_19494)),X_19494)))) )],[refute_0_389,refute_0_382]) ).
cnf(refute_0_391,plain,
( ~ is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))))
| is_a_theorem(implies(X_22759,implies(implies(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))),implies(X_22759,X_22760)),X_22760))) ),
inference(subst,[],[refute_0_390:[bind(X_19492,$fot(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))))),bind(X_19493,$fot(X_22759)),bind(X_19494,$fot(X_22760))]]) ).
cnf(refute_0_392,plain,
is_a_theorem(implies(X_22759,implies(implies(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))),implies(X_22759,X_22760)),X_22760))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2)))) )],[refute_0_122,refute_0_391]) ).
cnf(refute_0_393,plain,
is_a_theorem(implies(X_23668,implies(implies(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))),implies(X_23668,X_23666)),X_23666))),
inference(subst,[],[refute_0_392:[bind(X_22759,$fot(X_23668)),bind(X_22760,$fot(X_23666))]]) ).
cnf(refute_0_394,plain,
( ~ is_a_theorem(implies(X_23668,implies(implies(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))),implies(X_23668,X_23666)),X_23666)))
| is_a_theorem(implies(X_23668,implies(implies(X_23668,X_23666),X_23666))) ),
inference(subst,[],[refute_0_376:[bind(X_23400,$fot(implies(X_23668,X_23666))),bind(X_23401,$fot(X_23666)),bind(X_23402,$fot(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))))),bind(X_23403,$fot(X_23668))]]) ).
cnf(refute_0_395,plain,
is_a_theorem(implies(X_23668,implies(implies(X_23668,X_23666),X_23666))),
inference(resolve,[$cnf( is_a_theorem(implies(X_23668,implies(implies(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_3530,X_2))),implies(X_23668,X_23666)),X_23666))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
is_a_theorem(implies(X_23670,implies(implies(X_23670,X_23669),X_23669))),
inference(subst,[],[refute_0_395:[bind(X_23666,$fot(X_23669)),bind(X_23668,$fot(X_23670))]]) ).
cnf(refute_0_397,plain,
( ~ is_a_theorem(X_23670)
| is_a_theorem(implies(implies(X_23670,X_23669),X_23669)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_23670,implies(implies(X_23670,X_23669),X_23669))) )],[refute_0_396,refute_0_381]) ).
cnf(refute_0_398,plain,
( ~ is_a_theorem(implies(X_3959,X_3959))
| is_a_theorem(implies(implies(implies(X_3959,X_3959),X_23693),X_23693)) ),
inference(subst,[],[refute_0_397:[bind(X_23669,$fot(X_23693)),bind(X_23670,$fot(implies(X_3959,X_3959)))]]) ).
cnf(refute_0_399,plain,
is_a_theorem(implies(implies(implies(X_3959,X_3959),X_23693),X_23693)),
inference(resolve,[$cnf( is_a_theorem(implies(X_3959,X_3959)) )],[refute_0_144,refute_0_398]) ).
cnf(refute_0_400,plain,
is_a_theorem(implies(implies(implies(X_23696,X_23696),X_23695),X_23695)),
inference(subst,[],[refute_0_399:[bind(X_23693,$fot(X_23695)),bind(X_3959,$fot(X_23696))]]) ).
cnf(refute_0_401,plain,
( ~ is_a_theorem(implies(implies(X_23696,X_23696),X_23695))
| is_a_theorem(X_23695) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_23696,X_23696),X_23695),X_23695)) )],[refute_0_400,refute_0_380]) ).
cnf(refute_0_402,plain,
( ~ is_a_theorem(implies(implies(X_24131,X_24131),implies(implies(implies(X_23666,X_22349),X_23666),X_23666)))
| is_a_theorem(implies(implies(implies(X_23666,X_22349),X_23666),X_23666)) ),
inference(subst,[],[refute_0_401:[bind(X_23695,$fot(implies(implies(implies(X_23666,X_22349),X_23666),X_23666))),bind(X_23696,$fot(X_24131))]]) ).
cnf(refute_0_403,plain,
is_a_theorem(implies(implies(implies(X_23666,X_22349),X_23666),X_23666)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_24131,X_24131),implies(implies(implies(X_23666,X_22349),X_23666),X_23666))) )],[refute_0_379,refute_0_402]) ).
cnf(refute_0_404,plain,
is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(subst,[],[refute_0_403:[bind(X_22349,$fot(b)),bind(X_23666,$fot(a))]]) ).
cnf(refute_0_405,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(a,b),a),a)) )],[refute_0_404,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 00:30:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 43.48/43.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.48/43.63
% 43.48/43.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 43.49/43.68
%------------------------------------------------------------------------------