TSTP Solution File: SWV567-1.013 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV567-1.013 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Wed Jul 20 20:39:08 EDT 2022
% Result : Unsatisfiable 6.71s 6.90s
% Output : CNFRefutation 6.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 200
% Syntax : Number of clauses : 692 ( 290 unt; 55 nHn; 663 RR)
% Number of literals : 1248 (1247 equ; 561 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 48 con; 0-3 aty)
% Number of variables : 81 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(A,I,E),I) = E ).
cnf(a2,axiom,
( I = J
| select(store(A,I,E),J) = select(A,J) ) ).
cnf(as11,axiom,
s(s(s(s(s(s(s(s(s(s(s(X))))))))))) != X ).
cnf(as10,axiom,
s(s(s(s(s(s(s(s(s(s(X)))))))))) != X ).
cnf(as9,axiom,
s(s(s(s(s(s(s(s(s(X))))))))) != X ).
cnf(as8,axiom,
s(s(s(s(s(s(s(s(X)))))))) != X ).
cnf(as7,axiom,
s(s(s(s(s(s(s(X))))))) != X ).
cnf(as6,axiom,
s(s(s(s(s(s(X)))))) != X ).
cnf(as5,axiom,
s(s(s(s(s(X))))) != X ).
cnf(as4,axiom,
s(s(s(s(X)))) != X ).
cnf(as3,axiom,
s(s(s(X))) != X ).
cnf(as2,axiom,
s(s(X)) != X ).
cnf(as1,axiom,
s(X) != X ).
cnf(hyp8,hypothesis,
earray_33 = store(earray_30,elem_31,elem_32) ).
cnf(hyp9,hypothesis,
earray_36 = store(earray_33,elem_34,elem_35) ).
cnf(hyp10,hypothesis,
earray_39 = store(earray_36,elem_37,elem_38) ).
cnf(hyp12,hypothesis,
earray_44 = store(earray_42,elem_31,elem_43) ).
cnf(hyp13,hypothesis,
earray_46 = store(earray_44,elem_28,elem_45) ).
cnf(hyp14,hypothesis,
earray_48 = store(earray_46,elem_25,elem_47) ).
cnf(hyp15,hypothesis,
earray_50 = store(earray_48,elem_22,elem_49) ).
cnf(hyp16,hypothesis,
earray_52 = store(earray_50,elem_19,elem_51) ).
cnf(hyp17,hypothesis,
earray_54 = store(earray_52,elem_16,elem_53) ).
cnf(hyp18,hypothesis,
earray_56 = store(earray_54,elem_13,elem_55) ).
cnf(hyp19,hypothesis,
earray_58 = store(earray_56,elem_10,elem_57) ).
cnf(hyp21,hypothesis,
earray_60 = store(earray_58,elem_7,elem_59) ).
cnf(hyp22,hypothesis,
earray_62 = store(earray_60,elem_4,elem_61) ).
cnf(hyp23,hypothesis,
earray_64 = store(earray_62,elem_0,elem_63) ).
cnf(hyp24,hypothesis,
earray_66 = store(earray_64,i,elem_65) ).
cnf(hyp26,hypothesis,
elem_0 = s(i) ).
cnf(hyp28,hypothesis,
elem_10 = s(elem_7) ).
cnf(hyp30,hypothesis,
elem_13 = s(elem_10) ).
cnf(hyp32,hypothesis,
elem_16 = s(elem_13) ).
cnf(hyp34,hypothesis,
elem_19 = s(elem_16) ).
cnf(hyp37,hypothesis,
elem_22 = s(elem_19) ).
cnf(hyp39,hypothesis,
elem_25 = s(elem_22) ).
cnf(hyp41,hypothesis,
elem_28 = s(elem_25) ).
cnf(hyp43,hypothesis,
elem_31 = s(elem_28) ).
cnf(hyp45,hypothesis,
elem_34 = s(elem_31) ).
cnf(hyp46,hypothesis,
elem_35 = s(elem_32) ).
cnf(hyp47,hypothesis,
elem_37 = s(elem_34) ).
cnf(hyp48,hypothesis,
elem_38 = s(elem_35) ).
cnf(hyp49,hypothesis,
elem_4 = s(elem_0) ).
cnf(hyp51,hypothesis,
s(elem_41) = elem_40 ).
cnf(hyp52,hypothesis,
s(elem_43) = elem_41 ).
cnf(hyp65,hypothesis,
elem_7 = s(elem_4) ).
cnf(hyp67,hypothesis,
earray_39 = earray_66 ).
cnf(goal,negated_conjecture,
elem_38 != elem_40 ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( elem_38 != s(elem_35)
| s(elem_35) = elem_38 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_38)),bind(Y,$fot(s(elem_35)))]]) ).
cnf(refute_0_4,plain,
s(elem_35) = elem_38,
inference(resolve,[$cnf( $equal(elem_38,s(elem_35)) )],[hyp48,refute_0_3]) ).
cnf(refute_0_5,plain,
( elem_35 != s(elem_32)
| s(elem_32) = elem_35 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(s(elem_32)))]]) ).
cnf(refute_0_6,plain,
s(elem_32) = elem_35,
inference(resolve,[$cnf( $equal(elem_35,s(elem_32)) )],[hyp46,refute_0_5]) ).
cnf(refute_0_7,plain,
( i = X_72
| select(store(earray_64,i,elem_65),X_72) = select(earray_64,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_64)),bind(E,$fot(elem_65)),bind(I,$fot(i)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_8,plain,
( earray_39 != earray_66
| earray_66 = earray_39 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_39)),bind(Y,$fot(earray_66))]]) ).
cnf(refute_0_9,plain,
earray_66 = earray_39,
inference(resolve,[$cnf( $equal(earray_39,earray_66) )],[hyp67,refute_0_8]) ).
cnf(refute_0_10,plain,
( earray_66 != earray_39
| earray_66 != store(earray_64,i,elem_65)
| earray_39 = store(earray_64,i,elem_65) ),
introduced(tautology,[equality,[$cnf( $equal(earray_66,store(earray_64,i,elem_65)) ),[0],$fot(earray_39)]]) ).
cnf(refute_0_11,plain,
( earray_66 != store(earray_64,i,elem_65)
| earray_39 = store(earray_64,i,elem_65) ),
inference(resolve,[$cnf( $equal(earray_66,earray_39) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
earray_39 = store(earray_64,i,elem_65),
inference(resolve,[$cnf( $equal(earray_66,store(earray_64,i,elem_65)) )],[hyp24,refute_0_11]) ).
cnf(refute_0_13,plain,
( earray_39 != store(earray_64,i,elem_65)
| store(earray_64,i,elem_65) = earray_39 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_39)),bind(Y,$fot(store(earray_64,i,elem_65)))]]) ).
cnf(refute_0_14,plain,
store(earray_64,i,elem_65) = earray_39,
inference(resolve,[$cnf( $equal(earray_39,store(earray_64,i,elem_65)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( select(store(earray_64,i,elem_65),X_72) != select(earray_64,X_72)
| store(earray_64,i,elem_65) != earray_39
| select(earray_39,X_72) = select(earray_64,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_64,i,elem_65),X_72),select(earray_64,X_72)) ),[0,0],$fot(earray_39)]]) ).
cnf(refute_0_16,plain,
( select(store(earray_64,i,elem_65),X_72) != select(earray_64,X_72)
| select(earray_39,X_72) = select(earray_64,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_64,i,elem_65),earray_39) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( i = X_72
| select(earray_39,X_72) = select(earray_64,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_64,i,elem_65),X_72),select(earray_64,X_72)) )],[refute_0_7,refute_0_16]) ).
cnf(refute_0_18,plain,
( i = elem_31
| select(earray_39,elem_31) = select(earray_64,elem_31) ),
inference(subst,[],[refute_0_17:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_19,plain,
( elem_0 = X_72
| select(store(earray_62,elem_0,elem_63),X_72) = select(earray_62,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_62)),bind(E,$fot(elem_63)),bind(I,$fot(elem_0)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_20,plain,
( earray_64 != store(earray_62,elem_0,elem_63)
| store(earray_62,elem_0,elem_63) = earray_64 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_64)),bind(Y,$fot(store(earray_62,elem_0,elem_63)))]]) ).
cnf(refute_0_21,plain,
store(earray_62,elem_0,elem_63) = earray_64,
inference(resolve,[$cnf( $equal(earray_64,store(earray_62,elem_0,elem_63)) )],[hyp23,refute_0_20]) ).
cnf(refute_0_22,plain,
( select(store(earray_62,elem_0,elem_63),X_72) != select(earray_62,X_72)
| store(earray_62,elem_0,elem_63) != earray_64
| select(earray_64,X_72) = select(earray_62,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_62,elem_0,elem_63),X_72),select(earray_62,X_72)) ),[0,0],$fot(earray_64)]]) ).
cnf(refute_0_23,plain,
( select(store(earray_62,elem_0,elem_63),X_72) != select(earray_62,X_72)
| select(earray_64,X_72) = select(earray_62,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_62,elem_0,elem_63),earray_64) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( elem_0 = X_72
| select(earray_64,X_72) = select(earray_62,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_62,elem_0,elem_63),X_72),select(earray_62,X_72)) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
( elem_0 = elem_31
| select(earray_64,elem_31) = select(earray_62,elem_31) ),
inference(subst,[],[refute_0_24:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_26,plain,
( elem_4 = X_72
| select(store(earray_60,elem_4,elem_61),X_72) = select(earray_60,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_60)),bind(E,$fot(elem_61)),bind(I,$fot(elem_4)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_27,plain,
( earray_62 != store(earray_60,elem_4,elem_61)
| store(earray_60,elem_4,elem_61) = earray_62 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_62)),bind(Y,$fot(store(earray_60,elem_4,elem_61)))]]) ).
cnf(refute_0_28,plain,
store(earray_60,elem_4,elem_61) = earray_62,
inference(resolve,[$cnf( $equal(earray_62,store(earray_60,elem_4,elem_61)) )],[hyp22,refute_0_27]) ).
cnf(refute_0_29,plain,
( select(store(earray_60,elem_4,elem_61),X_72) != select(earray_60,X_72)
| store(earray_60,elem_4,elem_61) != earray_62
| select(earray_62,X_72) = select(earray_60,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_60,elem_4,elem_61),X_72),select(earray_60,X_72)) ),[0,0],$fot(earray_62)]]) ).
cnf(refute_0_30,plain,
( select(store(earray_60,elem_4,elem_61),X_72) != select(earray_60,X_72)
| select(earray_62,X_72) = select(earray_60,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_60,elem_4,elem_61),earray_62) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( elem_4 = X_72
| select(earray_62,X_72) = select(earray_60,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_60,elem_4,elem_61),X_72),select(earray_60,X_72)) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
( elem_4 = elem_31
| select(earray_62,elem_31) = select(earray_60,elem_31) ),
inference(subst,[],[refute_0_31:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_33,plain,
( elem_7 = X_72
| select(store(earray_58,elem_7,elem_59),X_72) = select(earray_58,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_58)),bind(E,$fot(elem_59)),bind(I,$fot(elem_7)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_34,plain,
( earray_60 != store(earray_58,elem_7,elem_59)
| store(earray_58,elem_7,elem_59) = earray_60 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_60)),bind(Y,$fot(store(earray_58,elem_7,elem_59)))]]) ).
cnf(refute_0_35,plain,
store(earray_58,elem_7,elem_59) = earray_60,
inference(resolve,[$cnf( $equal(earray_60,store(earray_58,elem_7,elem_59)) )],[hyp21,refute_0_34]) ).
cnf(refute_0_36,plain,
( select(store(earray_58,elem_7,elem_59),X_72) != select(earray_58,X_72)
| store(earray_58,elem_7,elem_59) != earray_60
| select(earray_60,X_72) = select(earray_58,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_58,elem_7,elem_59),X_72),select(earray_58,X_72)) ),[0,0],$fot(earray_60)]]) ).
cnf(refute_0_37,plain,
( select(store(earray_58,elem_7,elem_59),X_72) != select(earray_58,X_72)
| select(earray_60,X_72) = select(earray_58,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_58,elem_7,elem_59),earray_60) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( elem_7 = X_72
| select(earray_60,X_72) = select(earray_58,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_58,elem_7,elem_59),X_72),select(earray_58,X_72)) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
( elem_7 = elem_31
| select(earray_60,elem_31) = select(earray_58,elem_31) ),
inference(subst,[],[refute_0_38:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_40,plain,
( elem_10 = X_72
| select(store(earray_56,elem_10,elem_57),X_72) = select(earray_56,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_56)),bind(E,$fot(elem_57)),bind(I,$fot(elem_10)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_41,plain,
( earray_58 != store(earray_56,elem_10,elem_57)
| store(earray_56,elem_10,elem_57) = earray_58 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_58)),bind(Y,$fot(store(earray_56,elem_10,elem_57)))]]) ).
cnf(refute_0_42,plain,
store(earray_56,elem_10,elem_57) = earray_58,
inference(resolve,[$cnf( $equal(earray_58,store(earray_56,elem_10,elem_57)) )],[hyp19,refute_0_41]) ).
cnf(refute_0_43,plain,
( select(store(earray_56,elem_10,elem_57),X_72) != select(earray_56,X_72)
| store(earray_56,elem_10,elem_57) != earray_58
| select(earray_58,X_72) = select(earray_56,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_56,elem_10,elem_57),X_72),select(earray_56,X_72)) ),[0,0],$fot(earray_58)]]) ).
cnf(refute_0_44,plain,
( select(store(earray_56,elem_10,elem_57),X_72) != select(earray_56,X_72)
| select(earray_58,X_72) = select(earray_56,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_56,elem_10,elem_57),earray_58) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( elem_10 = X_72
| select(earray_58,X_72) = select(earray_56,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_56,elem_10,elem_57),X_72),select(earray_56,X_72)) )],[refute_0_40,refute_0_44]) ).
cnf(refute_0_46,plain,
( elem_10 = elem_31
| select(earray_58,elem_31) = select(earray_56,elem_31) ),
inference(subst,[],[refute_0_45:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_47,plain,
( elem_13 = X_72
| select(store(earray_54,elem_13,elem_55),X_72) = select(earray_54,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_54)),bind(E,$fot(elem_55)),bind(I,$fot(elem_13)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_48,plain,
( earray_56 != store(earray_54,elem_13,elem_55)
| store(earray_54,elem_13,elem_55) = earray_56 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_56)),bind(Y,$fot(store(earray_54,elem_13,elem_55)))]]) ).
cnf(refute_0_49,plain,
store(earray_54,elem_13,elem_55) = earray_56,
inference(resolve,[$cnf( $equal(earray_56,store(earray_54,elem_13,elem_55)) )],[hyp18,refute_0_48]) ).
cnf(refute_0_50,plain,
( select(store(earray_54,elem_13,elem_55),X_72) != select(earray_54,X_72)
| store(earray_54,elem_13,elem_55) != earray_56
| select(earray_56,X_72) = select(earray_54,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_54,elem_13,elem_55),X_72),select(earray_54,X_72)) ),[0,0],$fot(earray_56)]]) ).
cnf(refute_0_51,plain,
( select(store(earray_54,elem_13,elem_55),X_72) != select(earray_54,X_72)
| select(earray_56,X_72) = select(earray_54,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_54,elem_13,elem_55),earray_56) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( elem_13 = X_72
| select(earray_56,X_72) = select(earray_54,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_54,elem_13,elem_55),X_72),select(earray_54,X_72)) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
( elem_13 = elem_31
| select(earray_56,elem_31) = select(earray_54,elem_31) ),
inference(subst,[],[refute_0_52:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_54,plain,
( elem_16 = X_72
| select(store(earray_52,elem_16,elem_53),X_72) = select(earray_52,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_52)),bind(E,$fot(elem_53)),bind(I,$fot(elem_16)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_55,plain,
( earray_54 != store(earray_52,elem_16,elem_53)
| store(earray_52,elem_16,elem_53) = earray_54 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_54)),bind(Y,$fot(store(earray_52,elem_16,elem_53)))]]) ).
cnf(refute_0_56,plain,
store(earray_52,elem_16,elem_53) = earray_54,
inference(resolve,[$cnf( $equal(earray_54,store(earray_52,elem_16,elem_53)) )],[hyp17,refute_0_55]) ).
cnf(refute_0_57,plain,
( select(store(earray_52,elem_16,elem_53),X_72) != select(earray_52,X_72)
| store(earray_52,elem_16,elem_53) != earray_54
| select(earray_54,X_72) = select(earray_52,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_52,elem_16,elem_53),X_72),select(earray_52,X_72)) ),[0,0],$fot(earray_54)]]) ).
cnf(refute_0_58,plain,
( select(store(earray_52,elem_16,elem_53),X_72) != select(earray_52,X_72)
| select(earray_54,X_72) = select(earray_52,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_52,elem_16,elem_53),earray_54) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( elem_16 = X_72
| select(earray_54,X_72) = select(earray_52,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_52,elem_16,elem_53),X_72),select(earray_52,X_72)) )],[refute_0_54,refute_0_58]) ).
cnf(refute_0_60,plain,
( elem_16 = elem_31
| select(earray_54,elem_31) = select(earray_52,elem_31) ),
inference(subst,[],[refute_0_59:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_61,plain,
( elem_19 = X_72
| select(store(earray_50,elem_19,elem_51),X_72) = select(earray_50,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_50)),bind(E,$fot(elem_51)),bind(I,$fot(elem_19)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_62,plain,
( earray_52 != store(earray_50,elem_19,elem_51)
| store(earray_50,elem_19,elem_51) = earray_52 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_52)),bind(Y,$fot(store(earray_50,elem_19,elem_51)))]]) ).
cnf(refute_0_63,plain,
store(earray_50,elem_19,elem_51) = earray_52,
inference(resolve,[$cnf( $equal(earray_52,store(earray_50,elem_19,elem_51)) )],[hyp16,refute_0_62]) ).
cnf(refute_0_64,plain,
( select(store(earray_50,elem_19,elem_51),X_72) != select(earray_50,X_72)
| store(earray_50,elem_19,elem_51) != earray_52
| select(earray_52,X_72) = select(earray_50,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_50,elem_19,elem_51),X_72),select(earray_50,X_72)) ),[0,0],$fot(earray_52)]]) ).
cnf(refute_0_65,plain,
( select(store(earray_50,elem_19,elem_51),X_72) != select(earray_50,X_72)
| select(earray_52,X_72) = select(earray_50,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_50,elem_19,elem_51),earray_52) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( elem_19 = X_72
| select(earray_52,X_72) = select(earray_50,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_50,elem_19,elem_51),X_72),select(earray_50,X_72)) )],[refute_0_61,refute_0_65]) ).
cnf(refute_0_67,plain,
( elem_19 = elem_31
| select(earray_52,elem_31) = select(earray_50,elem_31) ),
inference(subst,[],[refute_0_66:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_68,plain,
( elem_22 = X_72
| select(store(earray_48,elem_22,elem_49),X_72) = select(earray_48,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_48)),bind(E,$fot(elem_49)),bind(I,$fot(elem_22)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_69,plain,
( earray_50 != store(earray_48,elem_22,elem_49)
| store(earray_48,elem_22,elem_49) = earray_50 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_50)),bind(Y,$fot(store(earray_48,elem_22,elem_49)))]]) ).
cnf(refute_0_70,plain,
store(earray_48,elem_22,elem_49) = earray_50,
inference(resolve,[$cnf( $equal(earray_50,store(earray_48,elem_22,elem_49)) )],[hyp15,refute_0_69]) ).
cnf(refute_0_71,plain,
( select(store(earray_48,elem_22,elem_49),X_72) != select(earray_48,X_72)
| store(earray_48,elem_22,elem_49) != earray_50
| select(earray_50,X_72) = select(earray_48,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_48,elem_22,elem_49),X_72),select(earray_48,X_72)) ),[0,0],$fot(earray_50)]]) ).
cnf(refute_0_72,plain,
( select(store(earray_48,elem_22,elem_49),X_72) != select(earray_48,X_72)
| select(earray_50,X_72) = select(earray_48,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_48,elem_22,elem_49),earray_50) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( elem_22 = X_72
| select(earray_50,X_72) = select(earray_48,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_48,elem_22,elem_49),X_72),select(earray_48,X_72)) )],[refute_0_68,refute_0_72]) ).
cnf(refute_0_74,plain,
( elem_22 = elem_31
| select(earray_50,elem_31) = select(earray_48,elem_31) ),
inference(subst,[],[refute_0_73:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_75,plain,
( elem_25 = X_72
| select(store(earray_46,elem_25,elem_47),X_72) = select(earray_46,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_46)),bind(E,$fot(elem_47)),bind(I,$fot(elem_25)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_76,plain,
( earray_48 != store(earray_46,elem_25,elem_47)
| store(earray_46,elem_25,elem_47) = earray_48 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_48)),bind(Y,$fot(store(earray_46,elem_25,elem_47)))]]) ).
cnf(refute_0_77,plain,
store(earray_46,elem_25,elem_47) = earray_48,
inference(resolve,[$cnf( $equal(earray_48,store(earray_46,elem_25,elem_47)) )],[hyp14,refute_0_76]) ).
cnf(refute_0_78,plain,
( select(store(earray_46,elem_25,elem_47),X_72) != select(earray_46,X_72)
| store(earray_46,elem_25,elem_47) != earray_48
| select(earray_48,X_72) = select(earray_46,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_46,elem_25,elem_47),X_72),select(earray_46,X_72)) ),[0,0],$fot(earray_48)]]) ).
cnf(refute_0_79,plain,
( select(store(earray_46,elem_25,elem_47),X_72) != select(earray_46,X_72)
| select(earray_48,X_72) = select(earray_46,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_46,elem_25,elem_47),earray_48) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( elem_25 = X_72
| select(earray_48,X_72) = select(earray_46,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_46,elem_25,elem_47),X_72),select(earray_46,X_72)) )],[refute_0_75,refute_0_79]) ).
cnf(refute_0_81,plain,
( elem_25 = elem_31
| select(earray_48,elem_31) = select(earray_46,elem_31) ),
inference(subst,[],[refute_0_80:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_82,plain,
( elem_28 = X_72
| select(store(earray_44,elem_28,elem_45),X_72) = select(earray_44,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_44)),bind(E,$fot(elem_45)),bind(I,$fot(elem_28)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_83,plain,
( earray_46 != store(earray_44,elem_28,elem_45)
| store(earray_44,elem_28,elem_45) = earray_46 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_46)),bind(Y,$fot(store(earray_44,elem_28,elem_45)))]]) ).
cnf(refute_0_84,plain,
store(earray_44,elem_28,elem_45) = earray_46,
inference(resolve,[$cnf( $equal(earray_46,store(earray_44,elem_28,elem_45)) )],[hyp13,refute_0_83]) ).
cnf(refute_0_85,plain,
( select(store(earray_44,elem_28,elem_45),X_72) != select(earray_44,X_72)
| store(earray_44,elem_28,elem_45) != earray_46
| select(earray_46,X_72) = select(earray_44,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_44,elem_28,elem_45),X_72),select(earray_44,X_72)) ),[0,0],$fot(earray_46)]]) ).
cnf(refute_0_86,plain,
( select(store(earray_44,elem_28,elem_45),X_72) != select(earray_44,X_72)
| select(earray_46,X_72) = select(earray_44,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_44,elem_28,elem_45),earray_46) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( elem_28 = X_72
| select(earray_46,X_72) = select(earray_44,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_44,elem_28,elem_45),X_72),select(earray_44,X_72)) )],[refute_0_82,refute_0_86]) ).
cnf(refute_0_88,plain,
( elem_28 = elem_31
| select(earray_46,elem_31) = select(earray_44,elem_31) ),
inference(subst,[],[refute_0_87:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_89,plain,
select(store(earray_42,elem_31,elem_43),elem_31) = elem_43,
inference(subst,[],[a1:[bind(A,$fot(earray_42)),bind(E,$fot(elem_43)),bind(I,$fot(elem_31))]]) ).
cnf(refute_0_90,plain,
( earray_44 != store(earray_42,elem_31,elem_43)
| store(earray_42,elem_31,elem_43) = earray_44 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_44)),bind(Y,$fot(store(earray_42,elem_31,elem_43)))]]) ).
cnf(refute_0_91,plain,
store(earray_42,elem_31,elem_43) = earray_44,
inference(resolve,[$cnf( $equal(earray_44,store(earray_42,elem_31,elem_43)) )],[hyp12,refute_0_90]) ).
cnf(refute_0_92,plain,
( select(store(earray_42,elem_31,elem_43),elem_31) != elem_43
| store(earray_42,elem_31,elem_43) != earray_44
| select(earray_44,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_42,elem_31,elem_43),elem_31),elem_43) ),[0,0],$fot(earray_44)]]) ).
cnf(refute_0_93,plain,
( select(store(earray_42,elem_31,elem_43),elem_31) != elem_43
| select(earray_44,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(store(earray_42,elem_31,elem_43),earray_44) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
select(earray_44,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(select(store(earray_42,elem_31,elem_43),elem_31),elem_43) )],[refute_0_89,refute_0_93]) ).
cnf(refute_0_95,plain,
( select(earray_44,elem_31) != elem_43
| select(earray_46,elem_31) != select(earray_44,elem_31)
| select(earray_46,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_46,elem_31),select(earray_44,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_96,plain,
( select(earray_46,elem_31) != select(earray_44,elem_31)
| select(earray_46,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_44,elem_31),elem_43) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( elem_28 = elem_31
| select(earray_46,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_46,elem_31),select(earray_44,elem_31)) )],[refute_0_88,refute_0_96]) ).
cnf(refute_0_98,plain,
s(elem_28) != elem_28,
inference(subst,[],[as1:[bind(X,$fot(elem_28))]]) ).
cnf(refute_0_99,plain,
( elem_31 != s(elem_28)
| s(elem_28) = elem_31 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_31)),bind(Y,$fot(s(elem_28)))]]) ).
cnf(refute_0_100,plain,
s(elem_28) = elem_31,
inference(resolve,[$cnf( $equal(elem_31,s(elem_28)) )],[hyp43,refute_0_99]) ).
cnf(refute_0_101,plain,
( elem_31 != elem_28
| s(elem_28) != elem_31
| s(elem_28) = elem_28 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_28),elem_31) ),[1],$fot(elem_28)]]) ).
cnf(refute_0_102,plain,
( elem_31 != elem_28
| s(elem_28) = elem_28 ),
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
elem_31 != elem_28,
inference(resolve,[$cnf( $equal(s(elem_28),elem_28) )],[refute_0_102,refute_0_98]) ).
cnf(refute_0_104,plain,
( elem_28 != elem_31
| elem_31 = elem_28 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_28)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_105,plain,
elem_28 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_28) )],[refute_0_104,refute_0_103]) ).
cnf(refute_0_106,plain,
select(earray_46,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_28,elem_31) )],[refute_0_97,refute_0_105]) ).
cnf(refute_0_107,plain,
( select(earray_46,elem_31) != elem_43
| select(earray_48,elem_31) != select(earray_46,elem_31)
| select(earray_48,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_48,elem_31),select(earray_46,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_108,plain,
( select(earray_48,elem_31) != select(earray_46,elem_31)
| select(earray_48,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_46,elem_31),elem_43) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( elem_25 = elem_31
| select(earray_48,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_48,elem_31),select(earray_46,elem_31)) )],[refute_0_81,refute_0_108]) ).
cnf(refute_0_110,plain,
s(s(elem_25)) != elem_25,
inference(subst,[],[as2:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_111,plain,
( elem_28 != s(elem_25)
| s(elem_25) = elem_28 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_28)),bind(Y,$fot(s(elem_25)))]]) ).
cnf(refute_0_112,plain,
s(elem_25) = elem_28,
inference(resolve,[$cnf( $equal(elem_28,s(elem_25)) )],[hyp41,refute_0_111]) ).
cnf(refute_0_113,plain,
( s(elem_25) != elem_28
| s(elem_28) != elem_25
| s(s(elem_25)) = elem_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(elem_25)),elem_25) ),[0,0],$fot(elem_28)]]) ).
cnf(refute_0_114,plain,
( s(elem_28) != elem_25
| s(s(elem_25)) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
s(elem_28) != elem_25,
inference(resolve,[$cnf( $equal(s(s(elem_25)),elem_25) )],[refute_0_114,refute_0_110]) ).
cnf(refute_0_116,plain,
( elem_31 != elem_25
| s(elem_28) != elem_31
| s(elem_28) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_28),elem_31) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_117,plain,
( elem_31 != elem_25
| s(elem_28) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_116]) ).
cnf(refute_0_118,plain,
elem_31 != elem_25,
inference(resolve,[$cnf( $equal(s(elem_28),elem_25) )],[refute_0_117,refute_0_115]) ).
cnf(refute_0_119,plain,
( elem_25 != elem_31
| elem_31 = elem_25 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_25)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_120,plain,
elem_25 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_25) )],[refute_0_119,refute_0_118]) ).
cnf(refute_0_121,plain,
select(earray_48,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_25,elem_31) )],[refute_0_109,refute_0_120]) ).
cnf(refute_0_122,plain,
( select(earray_48,elem_31) != elem_43
| select(earray_50,elem_31) != select(earray_48,elem_31)
| select(earray_50,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_50,elem_31),select(earray_48,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_123,plain,
( select(earray_50,elem_31) != select(earray_48,elem_31)
| select(earray_50,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_48,elem_31),elem_43) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( elem_22 = elem_31
| select(earray_50,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_50,elem_31),select(earray_48,elem_31)) )],[refute_0_74,refute_0_123]) ).
cnf(refute_0_125,plain,
s(s(s(elem_22))) != elem_22,
inference(subst,[],[as3:[bind(X,$fot(elem_22))]]) ).
cnf(refute_0_126,plain,
( elem_25 != s(elem_22)
| s(elem_22) = elem_25 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_25)),bind(Y,$fot(s(elem_22)))]]) ).
cnf(refute_0_127,plain,
s(elem_22) = elem_25,
inference(resolve,[$cnf( $equal(elem_25,s(elem_22)) )],[hyp39,refute_0_126]) ).
cnf(refute_0_128,plain,
( s(elem_22) != elem_25
| s(s(elem_25)) != elem_22
| s(s(s(elem_22))) = elem_22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(elem_22))),elem_22) ),[0,0,0],$fot(elem_25)]]) ).
cnf(refute_0_129,plain,
( s(s(elem_25)) != elem_22
| s(s(s(elem_22))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
s(s(elem_25)) != elem_22,
inference(resolve,[$cnf( $equal(s(s(s(elem_22))),elem_22) )],[refute_0_129,refute_0_125]) ).
cnf(refute_0_131,plain,
s(s(elem_25)) = s(s(elem_25)),
introduced(tautology,[refl,[$fot(s(s(elem_25)))]]) ).
cnf(refute_0_132,plain,
( s(elem_25) != elem_28
| s(s(elem_25)) != s(s(elem_25))
| s(s(elem_25)) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_25)),s(s(elem_25))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_133,plain,
( s(elem_25) != elem_28
| s(s(elem_25)) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(elem_25)),s(s(elem_25))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
s(s(elem_25)) = s(elem_28),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_133]) ).
cnf(refute_0_135,plain,
( Y != X0
| Y != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_136,plain,
( X0 != Y
| Y != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_2,refute_0_135]) ).
cnf(refute_0_137,plain,
( s(elem_28) != elem_31
| s(s(elem_25)) != s(elem_28)
| s(s(elem_25)) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_25)))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_138,plain,
( s(elem_28) != elem_31
| s(s(elem_25)) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(elem_25)),s(elem_28)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
s(s(elem_25)) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_138]) ).
cnf(refute_0_140,plain,
( elem_31 != elem_22
| s(s(elem_25)) != elem_31
| s(s(elem_25)) = elem_22 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_25)),elem_31) ),[1],$fot(elem_22)]]) ).
cnf(refute_0_141,plain,
( elem_31 != elem_22
| s(s(elem_25)) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(elem_25)),elem_31) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
elem_31 != elem_22,
inference(resolve,[$cnf( $equal(s(s(elem_25)),elem_22) )],[refute_0_141,refute_0_130]) ).
cnf(refute_0_143,plain,
( elem_22 != elem_31
| elem_31 = elem_22 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_22)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_144,plain,
elem_22 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_22) )],[refute_0_143,refute_0_142]) ).
cnf(refute_0_145,plain,
select(earray_50,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_22,elem_31) )],[refute_0_124,refute_0_144]) ).
cnf(refute_0_146,plain,
( select(earray_50,elem_31) != elem_43
| select(earray_52,elem_31) != select(earray_50,elem_31)
| select(earray_52,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_52,elem_31),select(earray_50,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_147,plain,
( select(earray_52,elem_31) != select(earray_50,elem_31)
| select(earray_52,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_50,elem_31),elem_43) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( elem_19 = elem_31
| select(earray_52,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_52,elem_31),select(earray_50,elem_31)) )],[refute_0_67,refute_0_147]) ).
cnf(refute_0_149,plain,
s(s(s(s(elem_19)))) != elem_19,
inference(subst,[],[as4:[bind(X,$fot(elem_19))]]) ).
cnf(refute_0_150,plain,
( elem_22 != s(elem_19)
| s(elem_19) = elem_22 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_22)),bind(Y,$fot(s(elem_19)))]]) ).
cnf(refute_0_151,plain,
s(elem_19) = elem_22,
inference(resolve,[$cnf( $equal(elem_22,s(elem_19)) )],[hyp37,refute_0_150]) ).
cnf(refute_0_152,plain,
( s(elem_19) != elem_22
| s(s(s(elem_22))) != elem_19
| s(s(s(s(elem_19)))) = elem_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(elem_19)))),elem_19) ),[0,0,0,0],$fot(elem_22)]]) ).
cnf(refute_0_153,plain,
( s(s(s(elem_22))) != elem_19
| s(s(s(s(elem_19)))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
s(s(s(elem_22))) != elem_19,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_19)))),elem_19) )],[refute_0_153,refute_0_149]) ).
cnf(refute_0_155,plain,
s(s(elem_22)) = s(s(elem_22)),
introduced(tautology,[refl,[$fot(s(s(elem_22)))]]) ).
cnf(refute_0_156,plain,
( s(elem_22) != elem_25
| s(s(elem_22)) != s(s(elem_22))
| s(s(elem_22)) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_22)),s(s(elem_22))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_157,plain,
( s(elem_22) != elem_25
| s(s(elem_22)) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(elem_22)),s(s(elem_22))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
s(s(elem_22)) = s(elem_25),
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_157]) ).
cnf(refute_0_159,plain,
( s(elem_25) != elem_28
| s(s(elem_22)) != s(elem_25)
| s(s(elem_22)) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_22)))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_160,plain,
( s(elem_25) != elem_28
| s(s(elem_22)) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(elem_22)),s(elem_25)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
s(s(elem_22)) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_160]) ).
cnf(refute_0_162,plain,
s(s(s(elem_22))) = s(s(s(elem_22))),
introduced(tautology,[refl,[$fot(s(s(s(elem_22))))]]) ).
cnf(refute_0_163,plain,
( s(s(elem_22)) != elem_28
| s(s(s(elem_22))) != s(s(s(elem_22)))
| s(s(s(elem_22))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_22))),s(s(s(elem_22)))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_164,plain,
( s(s(elem_22)) != elem_28
| s(s(s(elem_22))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_22))),s(s(s(elem_22)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
s(s(s(elem_22))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(elem_22)),elem_28) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( s(elem_28) != elem_31
| s(s(s(elem_22))) != s(elem_28)
| s(s(s(elem_22))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_22))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_167,plain,
( s(elem_28) != elem_31
| s(s(s(elem_22))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_22))),s(elem_28)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
s(s(s(elem_22))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_167]) ).
cnf(refute_0_169,plain,
( elem_31 != elem_19
| s(s(s(elem_22))) != elem_31
| s(s(s(elem_22))) = elem_19 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_22))),elem_31) ),[1],$fot(elem_19)]]) ).
cnf(refute_0_170,plain,
( elem_31 != elem_19
| s(s(s(elem_22))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_22))),elem_31) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
elem_31 != elem_19,
inference(resolve,[$cnf( $equal(s(s(s(elem_22))),elem_19) )],[refute_0_170,refute_0_154]) ).
cnf(refute_0_172,plain,
( elem_19 != elem_31
| elem_31 = elem_19 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_19)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_173,plain,
elem_19 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_19) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
select(earray_52,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_19,elem_31) )],[refute_0_148,refute_0_173]) ).
cnf(refute_0_175,plain,
( select(earray_52,elem_31) != elem_43
| select(earray_54,elem_31) != select(earray_52,elem_31)
| select(earray_54,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_54,elem_31),select(earray_52,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_176,plain,
( select(earray_54,elem_31) != select(earray_52,elem_31)
| select(earray_54,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_52,elem_31),elem_43) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( elem_16 = elem_31
| select(earray_54,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_54,elem_31),select(earray_52,elem_31)) )],[refute_0_60,refute_0_176]) ).
cnf(refute_0_178,plain,
s(s(s(s(s(elem_16))))) != elem_16,
inference(subst,[],[as5:[bind(X,$fot(elem_16))]]) ).
cnf(refute_0_179,plain,
( elem_19 != s(elem_16)
| s(elem_16) = elem_19 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_19)),bind(Y,$fot(s(elem_16)))]]) ).
cnf(refute_0_180,plain,
s(elem_16) = elem_19,
inference(resolve,[$cnf( $equal(elem_19,s(elem_16)) )],[hyp34,refute_0_179]) ).
cnf(refute_0_181,plain,
( s(elem_16) != elem_19
| s(s(s(s(elem_19)))) != elem_16
| s(s(s(s(s(elem_16))))) = elem_16 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(elem_16))))),elem_16) ),[0,0,0,0,0],$fot(elem_19)]]) ).
cnf(refute_0_182,plain,
( s(s(s(s(elem_19)))) != elem_16
| s(s(s(s(s(elem_16))))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
s(s(s(s(elem_19)))) != elem_16,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_16) )],[refute_0_182,refute_0_178]) ).
cnf(refute_0_184,plain,
s(s(elem_19)) = s(s(elem_19)),
introduced(tautology,[refl,[$fot(s(s(elem_19)))]]) ).
cnf(refute_0_185,plain,
( s(elem_19) != elem_22
| s(s(elem_19)) != s(s(elem_19))
| s(s(elem_19)) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_19)),s(s(elem_19))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_186,plain,
( s(elem_19) != elem_22
| s(s(elem_19)) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(elem_19)),s(s(elem_19))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
s(s(elem_19)) = s(elem_22),
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_186]) ).
cnf(refute_0_188,plain,
( s(elem_22) != elem_25
| s(s(elem_19)) != s(elem_22)
| s(s(elem_19)) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_19)))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_189,plain,
( s(elem_22) != elem_25
| s(s(elem_19)) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(elem_19)),s(elem_22)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
s(s(elem_19)) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_189]) ).
cnf(refute_0_191,plain,
s(s(s(elem_19))) = s(s(s(elem_19))),
introduced(tautology,[refl,[$fot(s(s(s(elem_19))))]]) ).
cnf(refute_0_192,plain,
( s(s(elem_19)) != elem_25
| s(s(s(elem_19))) != s(s(s(elem_19)))
| s(s(s(elem_19))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_19))),s(s(s(elem_19)))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_193,plain,
( s(s(elem_19)) != elem_25
| s(s(s(elem_19))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_19))),s(s(s(elem_19)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
s(s(s(elem_19))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(elem_19)),elem_25) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( s(elem_25) != elem_28
| s(s(s(elem_19))) != s(elem_25)
| s(s(s(elem_19))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_19))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_196,plain,
( s(elem_25) != elem_28
| s(s(s(elem_19))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_19))),s(elem_25)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
s(s(s(elem_19))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_196]) ).
cnf(refute_0_198,plain,
s(s(s(s(elem_19)))) = s(s(s(s(elem_19)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_19)))))]]) ).
cnf(refute_0_199,plain,
( s(s(s(elem_19))) != elem_28
| s(s(s(s(elem_19)))) != s(s(s(s(elem_19))))
| s(s(s(s(elem_19)))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_19)))),s(s(s(s(elem_19))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_200,plain,
( s(s(s(elem_19))) != elem_28
| s(s(s(s(elem_19)))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_19)))),s(s(s(s(elem_19))))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
s(s(s(s(elem_19)))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(elem_19))),elem_28) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
( s(elem_28) != elem_31
| s(s(s(s(elem_19)))) != s(elem_28)
| s(s(s(s(elem_19)))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_19)))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_203,plain,
( s(elem_28) != elem_31
| s(s(s(s(elem_19)))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_19)))),s(elem_28)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
s(s(s(s(elem_19)))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_203]) ).
cnf(refute_0_205,plain,
( elem_31 != elem_16
| s(s(s(s(elem_19)))) != elem_31
| s(s(s(s(elem_19)))) = elem_16 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_19)))),elem_31) ),[1],$fot(elem_16)]]) ).
cnf(refute_0_206,plain,
( elem_31 != elem_16
| s(s(s(s(elem_19)))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_19)))),elem_31) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
elem_31 != elem_16,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_19)))),elem_16) )],[refute_0_206,refute_0_183]) ).
cnf(refute_0_208,plain,
( elem_16 != elem_31
| elem_31 = elem_16 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_16)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_209,plain,
elem_16 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_16) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
select(earray_54,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_16,elem_31) )],[refute_0_177,refute_0_209]) ).
cnf(refute_0_211,plain,
( select(earray_54,elem_31) != elem_43
| select(earray_56,elem_31) != select(earray_54,elem_31)
| select(earray_56,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_56,elem_31),select(earray_54,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_212,plain,
( select(earray_56,elem_31) != select(earray_54,elem_31)
| select(earray_56,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_54,elem_31),elem_43) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( elem_13 = elem_31
| select(earray_56,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_56,elem_31),select(earray_54,elem_31)) )],[refute_0_53,refute_0_212]) ).
cnf(refute_0_214,plain,
s(s(s(s(s(s(elem_13)))))) != elem_13,
inference(subst,[],[as6:[bind(X,$fot(elem_13))]]) ).
cnf(refute_0_215,plain,
( elem_16 != s(elem_13)
| s(elem_13) = elem_16 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_16)),bind(Y,$fot(s(elem_13)))]]) ).
cnf(refute_0_216,plain,
s(elem_13) = elem_16,
inference(resolve,[$cnf( $equal(elem_16,s(elem_13)) )],[hyp32,refute_0_215]) ).
cnf(refute_0_217,plain,
( s(elem_13) != elem_16
| s(s(s(s(s(elem_16))))) != elem_13
| s(s(s(s(s(s(elem_13)))))) = elem_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(elem_13)))))),elem_13) ),[0,0,0,0,0,0],$fot(elem_16)]]) ).
cnf(refute_0_218,plain,
( s(s(s(s(s(elem_16))))) != elem_13
| s(s(s(s(s(s(elem_13)))))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
s(s(s(s(s(elem_16))))) != elem_13,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),elem_13) )],[refute_0_218,refute_0_214]) ).
cnf(refute_0_220,plain,
s(s(elem_16)) = s(s(elem_16)),
introduced(tautology,[refl,[$fot(s(s(elem_16)))]]) ).
cnf(refute_0_221,plain,
( s(elem_16) != elem_19
| s(s(elem_16)) != s(s(elem_16))
| s(s(elem_16)) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_16)),s(s(elem_16))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_222,plain,
( s(elem_16) != elem_19
| s(s(elem_16)) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(elem_16)),s(s(elem_16))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
s(s(elem_16)) = s(elem_19),
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_222]) ).
cnf(refute_0_224,plain,
( s(elem_19) != elem_22
| s(s(elem_16)) != s(elem_19)
| s(s(elem_16)) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_16)))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_225,plain,
( s(elem_19) != elem_22
| s(s(elem_16)) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(elem_16)),s(elem_19)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
s(s(elem_16)) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_225]) ).
cnf(refute_0_227,plain,
s(s(s(elem_16))) = s(s(s(elem_16))),
introduced(tautology,[refl,[$fot(s(s(s(elem_16))))]]) ).
cnf(refute_0_228,plain,
( s(s(elem_16)) != elem_22
| s(s(s(elem_16))) != s(s(s(elem_16)))
| s(s(s(elem_16))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_16))),s(s(s(elem_16)))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_229,plain,
( s(s(elem_16)) != elem_22
| s(s(s(elem_16))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(s(s(elem_16)))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
s(s(s(elem_16))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(elem_16)),elem_22) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( s(elem_22) != elem_25
| s(s(s(elem_16))) != s(elem_22)
| s(s(s(elem_16))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_16))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_232,plain,
( s(elem_22) != elem_25
| s(s(s(elem_16))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(elem_22)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
s(s(s(elem_16))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_232]) ).
cnf(refute_0_234,plain,
s(s(s(s(elem_16)))) = s(s(s(s(elem_16)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_16)))))]]) ).
cnf(refute_0_235,plain,
( s(s(s(elem_16))) != elem_25
| s(s(s(s(elem_16)))) != s(s(s(s(elem_16))))
| s(s(s(s(elem_16)))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_16)))),s(s(s(s(elem_16))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_236,plain,
( s(s(s(elem_16))) != elem_25
| s(s(s(s(elem_16)))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),s(s(s(s(elem_16))))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
s(s(s(s(elem_16)))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_25) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( s(elem_25) != elem_28
| s(s(s(s(elem_16)))) != s(elem_25)
| s(s(s(s(elem_16)))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_16)))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_239,plain,
( s(elem_25) != elem_28
| s(s(s(s(elem_16)))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),s(elem_25)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
s(s(s(s(elem_16)))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_239]) ).
cnf(refute_0_241,plain,
s(s(s(s(s(elem_16))))) = s(s(s(s(s(elem_16))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_16))))))]]) ).
cnf(refute_0_242,plain,
( s(s(s(s(elem_16)))) != elem_28
| s(s(s(s(s(elem_16))))) != s(s(s(s(s(elem_16)))))
| s(s(s(s(s(elem_16))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(s(s(s(s(elem_16)))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_243,plain,
( s(s(s(s(elem_16)))) != elem_28
| s(s(s(s(s(elem_16))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(s(s(s(s(elem_16)))))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
s(s(s(s(s(elem_16))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),elem_28) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(elem_16))))) != s(elem_28)
| s(s(s(s(s(elem_16))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_16))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_246,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(elem_16))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(elem_28)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
s(s(s(s(s(elem_16))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_246]) ).
cnf(refute_0_248,plain,
( elem_31 != elem_13
| s(s(s(s(s(elem_16))))) != elem_31
| s(s(s(s(s(elem_16))))) = elem_13 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_31) ),[1],$fot(elem_13)]]) ).
cnf(refute_0_249,plain,
( elem_31 != elem_13
| s(s(s(s(s(elem_16))))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_31) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
elem_31 != elem_13,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_13) )],[refute_0_249,refute_0_219]) ).
cnf(refute_0_251,plain,
( elem_13 != elem_31
| elem_31 = elem_13 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_13)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_252,plain,
elem_13 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_13) )],[refute_0_251,refute_0_250]) ).
cnf(refute_0_253,plain,
select(earray_56,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_13,elem_31) )],[refute_0_213,refute_0_252]) ).
cnf(refute_0_254,plain,
( select(earray_56,elem_31) != elem_43
| select(earray_58,elem_31) != select(earray_56,elem_31)
| select(earray_58,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_58,elem_31),select(earray_56,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_255,plain,
( select(earray_58,elem_31) != select(earray_56,elem_31)
| select(earray_58,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_56,elem_31),elem_43) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( elem_10 = elem_31
| select(earray_58,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_58,elem_31),select(earray_56,elem_31)) )],[refute_0_46,refute_0_255]) ).
cnf(refute_0_257,plain,
s(s(s(s(s(s(s(elem_10))))))) != elem_10,
inference(subst,[],[as7:[bind(X,$fot(elem_10))]]) ).
cnf(refute_0_258,plain,
( elem_13 != s(elem_10)
| s(elem_10) = elem_13 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_13)),bind(Y,$fot(s(elem_10)))]]) ).
cnf(refute_0_259,plain,
s(elem_10) = elem_13,
inference(resolve,[$cnf( $equal(elem_13,s(elem_10)) )],[hyp30,refute_0_258]) ).
cnf(refute_0_260,plain,
( s(elem_10) != elem_13
| s(s(s(s(s(s(elem_13)))))) != elem_10
| s(s(s(s(s(s(s(elem_10))))))) = elem_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(elem_10))))))),elem_10) ),[0,0,0,0,0,0,0],$fot(elem_13)]]) ).
cnf(refute_0_261,plain,
( s(s(s(s(s(s(elem_13)))))) != elem_10
| s(s(s(s(s(s(s(elem_10))))))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
s(s(s(s(s(s(elem_13)))))) != elem_10,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),elem_10) )],[refute_0_261,refute_0_257]) ).
cnf(refute_0_263,plain,
s(s(elem_13)) = s(s(elem_13)),
introduced(tautology,[refl,[$fot(s(s(elem_13)))]]) ).
cnf(refute_0_264,plain,
( s(elem_13) != elem_16
| s(s(elem_13)) != s(s(elem_13))
| s(s(elem_13)) = s(elem_16) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_13)),s(s(elem_13))) ),[1,0],$fot(elem_16)]]) ).
cnf(refute_0_265,plain,
( s(elem_13) != elem_16
| s(s(elem_13)) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(elem_13)),s(s(elem_13))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
s(s(elem_13)) = s(elem_16),
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_265]) ).
cnf(refute_0_267,plain,
( s(elem_16) != elem_19
| s(s(elem_13)) != s(elem_16)
| s(s(elem_13)) = elem_19 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_13)))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_268,plain,
( s(elem_16) != elem_19
| s(s(elem_13)) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(elem_13)),s(elem_16)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
s(s(elem_13)) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_268]) ).
cnf(refute_0_270,plain,
s(s(s(elem_13))) = s(s(s(elem_13))),
introduced(tautology,[refl,[$fot(s(s(s(elem_13))))]]) ).
cnf(refute_0_271,plain,
( s(s(elem_13)) != elem_19
| s(s(s(elem_13))) != s(s(s(elem_13)))
| s(s(s(elem_13))) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_13))),s(s(s(elem_13)))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_272,plain,
( s(s(elem_13)) != elem_19
| s(s(s(elem_13))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),s(s(s(elem_13)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
s(s(s(elem_13))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(elem_13)),elem_19) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
( s(elem_19) != elem_22
| s(s(s(elem_13))) != s(elem_19)
| s(s(s(elem_13))) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_13))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_275,plain,
( s(elem_19) != elem_22
| s(s(s(elem_13))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),s(elem_19)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
s(s(s(elem_13))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_275]) ).
cnf(refute_0_277,plain,
s(s(s(s(elem_13)))) = s(s(s(s(elem_13)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_13)))))]]) ).
cnf(refute_0_278,plain,
( s(s(s(elem_13))) != elem_22
| s(s(s(s(elem_13)))) != s(s(s(s(elem_13))))
| s(s(s(s(elem_13)))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_13)))),s(s(s(s(elem_13))))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_279,plain,
( s(s(s(elem_13))) != elem_22
| s(s(s(s(elem_13)))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),s(s(s(s(elem_13))))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
s(s(s(s(elem_13)))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),elem_22) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( s(elem_22) != elem_25
| s(s(s(s(elem_13)))) != s(elem_22)
| s(s(s(s(elem_13)))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_13)))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_282,plain,
( s(elem_22) != elem_25
| s(s(s(s(elem_13)))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),s(elem_22)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
s(s(s(s(elem_13)))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_282]) ).
cnf(refute_0_284,plain,
s(s(s(s(s(elem_13))))) = s(s(s(s(s(elem_13))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_13))))))]]) ).
cnf(refute_0_285,plain,
( s(s(s(s(elem_13)))) != elem_25
| s(s(s(s(s(elem_13))))) != s(s(s(s(s(elem_13)))))
| s(s(s(s(s(elem_13))))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_13))))),s(s(s(s(s(elem_13)))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_286,plain,
( s(s(s(s(elem_13)))) != elem_25
| s(s(s(s(s(elem_13))))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_13))))),s(s(s(s(s(elem_13)))))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
s(s(s(s(s(elem_13))))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),elem_25) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(elem_13))))) != s(elem_25)
| s(s(s(s(s(elem_13))))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_13))))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_289,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(elem_13))))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_13))))),s(elem_25)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
s(s(s(s(s(elem_13))))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_289]) ).
cnf(refute_0_291,plain,
s(s(s(s(s(s(elem_13)))))) = s(s(s(s(s(s(elem_13)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_13)))))))]]) ).
cnf(refute_0_292,plain,
( s(s(s(s(s(elem_13))))) != elem_28
| s(s(s(s(s(s(elem_13)))))) != s(s(s(s(s(s(elem_13))))))
| s(s(s(s(s(s(elem_13)))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),s(s(s(s(s(s(elem_13))))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_293,plain,
( s(s(s(s(s(elem_13))))) != elem_28
| s(s(s(s(s(s(elem_13)))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),s(s(s(s(s(s(elem_13))))))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
s(s(s(s(s(s(elem_13)))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_13))))),elem_28) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(elem_13)))))) != s(elem_28)
| s(s(s(s(s(s(elem_13)))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(elem_13)))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_296,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(elem_13)))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),s(elem_28)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
s(s(s(s(s(s(elem_13)))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_296]) ).
cnf(refute_0_298,plain,
( elem_31 != elem_10
| s(s(s(s(s(s(elem_13)))))) != elem_31
| s(s(s(s(s(s(elem_13)))))) = elem_10 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),elem_31) ),[1],$fot(elem_10)]]) ).
cnf(refute_0_299,plain,
( elem_31 != elem_10
| s(s(s(s(s(s(elem_13)))))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),elem_31) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
elem_31 != elem_10,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),elem_10) )],[refute_0_299,refute_0_262]) ).
cnf(refute_0_301,plain,
( elem_10 != elem_31
| elem_31 = elem_10 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_10)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_302,plain,
elem_10 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_10) )],[refute_0_301,refute_0_300]) ).
cnf(refute_0_303,plain,
select(earray_58,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_10,elem_31) )],[refute_0_256,refute_0_302]) ).
cnf(refute_0_304,plain,
( select(earray_58,elem_31) != elem_43
| select(earray_60,elem_31) != select(earray_58,elem_31)
| select(earray_60,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_60,elem_31),select(earray_58,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_305,plain,
( select(earray_60,elem_31) != select(earray_58,elem_31)
| select(earray_60,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_58,elem_31),elem_43) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( elem_7 = elem_31
| select(earray_60,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_60,elem_31),select(earray_58,elem_31)) )],[refute_0_39,refute_0_305]) ).
cnf(refute_0_307,plain,
s(s(s(s(s(s(s(s(elem_7)))))))) != elem_7,
inference(subst,[],[as8:[bind(X,$fot(elem_7))]]) ).
cnf(refute_0_308,plain,
( elem_10 != s(elem_7)
| s(elem_7) = elem_10 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_10)),bind(Y,$fot(s(elem_7)))]]) ).
cnf(refute_0_309,plain,
s(elem_7) = elem_10,
inference(resolve,[$cnf( $equal(elem_10,s(elem_7)) )],[hyp28,refute_0_308]) ).
cnf(refute_0_310,plain,
( s(elem_7) != elem_10
| s(s(s(s(s(s(s(elem_10))))))) != elem_7
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_7) ),[0,0,0,0,0,0,0,0],$fot(elem_10)]]) ).
cnf(refute_0_311,plain,
( s(s(s(s(s(s(s(elem_10))))))) != elem_7
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_7 ),
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
s(s(s(s(s(s(s(elem_10))))))) != elem_7,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_7) )],[refute_0_311,refute_0_307]) ).
cnf(refute_0_313,plain,
s(s(elem_10)) = s(s(elem_10)),
introduced(tautology,[refl,[$fot(s(s(elem_10)))]]) ).
cnf(refute_0_314,plain,
( s(elem_10) != elem_13
| s(s(elem_10)) != s(s(elem_10))
| s(s(elem_10)) = s(elem_13) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_10)),s(s(elem_10))) ),[1,0],$fot(elem_13)]]) ).
cnf(refute_0_315,plain,
( s(elem_10) != elem_13
| s(s(elem_10)) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(elem_10)),s(s(elem_10))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
s(s(elem_10)) = s(elem_13),
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_259,refute_0_315]) ).
cnf(refute_0_317,plain,
( s(elem_13) != elem_16
| s(s(elem_10)) != s(elem_13)
| s(s(elem_10)) = elem_16 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_10)))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_318,plain,
( s(elem_13) != elem_16
| s(s(elem_10)) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(elem_10)),s(elem_13)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
s(s(elem_10)) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_318]) ).
cnf(refute_0_320,plain,
s(s(s(elem_10))) = s(s(s(elem_10))),
introduced(tautology,[refl,[$fot(s(s(s(elem_10))))]]) ).
cnf(refute_0_321,plain,
( s(s(elem_10)) != elem_16
| s(s(s(elem_10))) != s(s(s(elem_10)))
| s(s(s(elem_10))) = s(elem_16) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_10))),s(s(s(elem_10)))) ),[1,0],$fot(elem_16)]]) ).
cnf(refute_0_322,plain,
( s(s(elem_10)) != elem_16
| s(s(s(elem_10))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),s(s(s(elem_10)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
s(s(s(elem_10))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(elem_10)),elem_16) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( s(elem_16) != elem_19
| s(s(s(elem_10))) != s(elem_16)
| s(s(s(elem_10))) = elem_19 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_10))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_325,plain,
( s(elem_16) != elem_19
| s(s(s(elem_10))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),s(elem_16)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
s(s(s(elem_10))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_325]) ).
cnf(refute_0_327,plain,
s(s(s(s(elem_10)))) = s(s(s(s(elem_10)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_10)))))]]) ).
cnf(refute_0_328,plain,
( s(s(s(elem_10))) != elem_19
| s(s(s(s(elem_10)))) != s(s(s(s(elem_10))))
| s(s(s(s(elem_10)))) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_10)))),s(s(s(s(elem_10))))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_329,plain,
( s(s(s(elem_10))) != elem_19
| s(s(s(s(elem_10)))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),s(s(s(s(elem_10))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
s(s(s(s(elem_10)))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),elem_19) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( s(elem_19) != elem_22
| s(s(s(s(elem_10)))) != s(elem_19)
| s(s(s(s(elem_10)))) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_10)))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_332,plain,
( s(elem_19) != elem_22
| s(s(s(s(elem_10)))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),s(elem_19)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
s(s(s(s(elem_10)))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_332]) ).
cnf(refute_0_334,plain,
s(s(s(s(s(elem_10))))) = s(s(s(s(s(elem_10))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_10))))))]]) ).
cnf(refute_0_335,plain,
( s(s(s(s(elem_10)))) != elem_22
| s(s(s(s(s(elem_10))))) != s(s(s(s(s(elem_10)))))
| s(s(s(s(s(elem_10))))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_10))))),s(s(s(s(s(elem_10)))))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_336,plain,
( s(s(s(s(elem_10)))) != elem_22
| s(s(s(s(s(elem_10))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),s(s(s(s(s(elem_10)))))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
s(s(s(s(s(elem_10))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),elem_22) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(elem_10))))) != s(elem_22)
| s(s(s(s(s(elem_10))))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_10))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_339,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(elem_10))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),s(elem_22)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
s(s(s(s(s(elem_10))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_339]) ).
cnf(refute_0_341,plain,
s(s(s(s(s(s(elem_10)))))) = s(s(s(s(s(s(elem_10)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_10)))))))]]) ).
cnf(refute_0_342,plain,
( s(s(s(s(s(elem_10))))) != elem_25
| s(s(s(s(s(s(elem_10)))))) != s(s(s(s(s(s(elem_10))))))
| s(s(s(s(s(s(elem_10)))))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_10)))))),s(s(s(s(s(s(elem_10))))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_343,plain,
( s(s(s(s(s(elem_10))))) != elem_25
| s(s(s(s(s(s(elem_10)))))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_10)))))),s(s(s(s(s(s(elem_10))))))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
s(s(s(s(s(s(elem_10)))))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),elem_25) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(elem_10)))))) != s(elem_25)
| s(s(s(s(s(s(elem_10)))))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(elem_10)))))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_346,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(elem_10)))))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_10)))))),s(elem_25)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
s(s(s(s(s(s(elem_10)))))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_346]) ).
cnf(refute_0_348,plain,
s(s(s(s(s(s(s(elem_10))))))) = s(s(s(s(s(s(s(elem_10))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_10))))))))]]) ).
cnf(refute_0_349,plain,
( s(s(s(s(s(s(elem_10)))))) != elem_28
| s(s(s(s(s(s(s(elem_10))))))) != s(s(s(s(s(s(s(elem_10)))))))
| s(s(s(s(s(s(s(elem_10))))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),s(s(s(s(s(s(s(elem_10)))))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_350,plain,
( s(s(s(s(s(s(elem_10)))))) != elem_28
| s(s(s(s(s(s(s(elem_10))))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),s(s(s(s(s(s(s(elem_10)))))))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
s(s(s(s(s(s(s(elem_10))))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_10)))))),elem_28) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(elem_10))))))) != s(elem_28)
| s(s(s(s(s(s(s(elem_10))))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(elem_10))))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_353,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(elem_10))))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),s(elem_28)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
s(s(s(s(s(s(s(elem_10))))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_353]) ).
cnf(refute_0_355,plain,
( elem_31 != elem_7
| s(s(s(s(s(s(s(elem_10))))))) != elem_31
| s(s(s(s(s(s(s(elem_10))))))) = elem_7 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),elem_31) ),[1],$fot(elem_7)]]) ).
cnf(refute_0_356,plain,
( elem_31 != elem_7
| s(s(s(s(s(s(s(elem_10))))))) = elem_7 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),elem_31) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
elem_31 != elem_7,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_10))))))),elem_7) )],[refute_0_356,refute_0_312]) ).
cnf(refute_0_358,plain,
( elem_7 != elem_31
| elem_31 = elem_7 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_7)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_359,plain,
elem_7 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_7) )],[refute_0_358,refute_0_357]) ).
cnf(refute_0_360,plain,
select(earray_60,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_7,elem_31) )],[refute_0_306,refute_0_359]) ).
cnf(refute_0_361,plain,
( select(earray_60,elem_31) != elem_43
| select(earray_62,elem_31) != select(earray_60,elem_31)
| select(earray_62,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_62,elem_31),select(earray_60,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_362,plain,
( select(earray_62,elem_31) != select(earray_60,elem_31)
| select(earray_62,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_60,elem_31),elem_43) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( elem_4 = elem_31
| select(earray_62,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_62,elem_31),select(earray_60,elem_31)) )],[refute_0_32,refute_0_362]) ).
cnf(refute_0_364,plain,
s(s(s(s(s(s(s(s(s(elem_4))))))))) != elem_4,
inference(subst,[],[as9:[bind(X,$fot(elem_4))]]) ).
cnf(refute_0_365,plain,
( elem_7 != s(elem_4)
| s(elem_4) = elem_7 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_7)),bind(Y,$fot(s(elem_4)))]]) ).
cnf(refute_0_366,plain,
s(elem_4) = elem_7,
inference(resolve,[$cnf( $equal(elem_7,s(elem_4)) )],[hyp65,refute_0_365]) ).
cnf(refute_0_367,plain,
( s(elem_4) != elem_7
| s(s(s(s(s(s(s(s(elem_7)))))))) != elem_4
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),elem_4) ),[0,0,0,0,0,0,0,0,0],$fot(elem_7)]]) ).
cnf(refute_0_368,plain,
( s(s(s(s(s(s(s(s(elem_7)))))))) != elem_4
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_4 ),
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
s(s(s(s(s(s(s(s(elem_7)))))))) != elem_4,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),elem_4) )],[refute_0_368,refute_0_364]) ).
cnf(refute_0_370,plain,
s(s(elem_7)) = s(s(elem_7)),
introduced(tautology,[refl,[$fot(s(s(elem_7)))]]) ).
cnf(refute_0_371,plain,
( s(elem_7) != elem_10
| s(s(elem_7)) != s(s(elem_7))
| s(s(elem_7)) = s(elem_10) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_7)),s(s(elem_7))) ),[1,0],$fot(elem_10)]]) ).
cnf(refute_0_372,plain,
( s(elem_7) != elem_10
| s(s(elem_7)) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(elem_7)),s(s(elem_7))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
s(s(elem_7)) = s(elem_10),
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_309,refute_0_372]) ).
cnf(refute_0_374,plain,
( s(elem_10) != elem_13
| s(s(elem_7)) != s(elem_10)
| s(s(elem_7)) = elem_13 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_7)))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_375,plain,
( s(elem_10) != elem_13
| s(s(elem_7)) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(elem_7)),s(elem_10)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
s(s(elem_7)) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_259,refute_0_375]) ).
cnf(refute_0_377,plain,
s(s(s(elem_7))) = s(s(s(elem_7))),
introduced(tautology,[refl,[$fot(s(s(s(elem_7))))]]) ).
cnf(refute_0_378,plain,
( s(s(elem_7)) != elem_13
| s(s(s(elem_7))) != s(s(s(elem_7)))
| s(s(s(elem_7))) = s(elem_13) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_7))),s(s(s(elem_7)))) ),[1,0],$fot(elem_13)]]) ).
cnf(refute_0_379,plain,
( s(s(elem_7)) != elem_13
| s(s(s(elem_7))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),s(s(s(elem_7)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
s(s(s(elem_7))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(elem_7)),elem_13) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
( s(elem_13) != elem_16
| s(s(s(elem_7))) != s(elem_13)
| s(s(s(elem_7))) = elem_16 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_7))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_382,plain,
( s(elem_13) != elem_16
| s(s(s(elem_7))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),s(elem_13)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
s(s(s(elem_7))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_382]) ).
cnf(refute_0_384,plain,
s(s(s(s(elem_7)))) = s(s(s(s(elem_7)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_7)))))]]) ).
cnf(refute_0_385,plain,
( s(s(s(elem_7))) != elem_16
| s(s(s(s(elem_7)))) != s(s(s(s(elem_7))))
| s(s(s(s(elem_7)))) = s(elem_16) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_7)))),s(s(s(s(elem_7))))) ),[1,0],$fot(elem_16)]]) ).
cnf(refute_0_386,plain,
( s(s(s(elem_7))) != elem_16
| s(s(s(s(elem_7)))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),s(s(s(s(elem_7))))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
s(s(s(s(elem_7)))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),elem_16) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( s(elem_16) != elem_19
| s(s(s(s(elem_7)))) != s(elem_16)
| s(s(s(s(elem_7)))) = elem_19 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_7)))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_389,plain,
( s(elem_16) != elem_19
| s(s(s(s(elem_7)))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),s(elem_16)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
s(s(s(s(elem_7)))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_389]) ).
cnf(refute_0_391,plain,
s(s(s(s(s(elem_7))))) = s(s(s(s(s(elem_7))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_7))))))]]) ).
cnf(refute_0_392,plain,
( s(s(s(s(elem_7)))) != elem_19
| s(s(s(s(s(elem_7))))) != s(s(s(s(s(elem_7)))))
| s(s(s(s(s(elem_7))))) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_7))))),s(s(s(s(s(elem_7)))))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_393,plain,
( s(s(s(s(elem_7)))) != elem_19
| s(s(s(s(s(elem_7))))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),s(s(s(s(s(elem_7)))))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
s(s(s(s(s(elem_7))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),elem_19) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(elem_7))))) != s(elem_19)
| s(s(s(s(s(elem_7))))) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_7))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_396,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(elem_7))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),s(elem_19)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
s(s(s(s(s(elem_7))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_396]) ).
cnf(refute_0_398,plain,
s(s(s(s(s(s(elem_7)))))) = s(s(s(s(s(s(elem_7)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_7)))))))]]) ).
cnf(refute_0_399,plain,
( s(s(s(s(s(elem_7))))) != elem_22
| s(s(s(s(s(s(elem_7)))))) != s(s(s(s(s(s(elem_7))))))
| s(s(s(s(s(s(elem_7)))))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),s(s(s(s(s(s(elem_7))))))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_400,plain,
( s(s(s(s(s(elem_7))))) != elem_22
| s(s(s(s(s(s(elem_7)))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),s(s(s(s(s(s(elem_7))))))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
s(s(s(s(s(s(elem_7)))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),elem_22) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(elem_7)))))) != s(elem_22)
| s(s(s(s(s(s(elem_7)))))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(elem_7)))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_403,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(elem_7)))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),s(elem_22)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
s(s(s(s(s(s(elem_7)))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_403]) ).
cnf(refute_0_405,plain,
s(s(s(s(s(s(s(elem_7))))))) = s(s(s(s(s(s(s(elem_7))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_7))))))))]]) ).
cnf(refute_0_406,plain,
( s(s(s(s(s(s(elem_7)))))) != elem_25
| s(s(s(s(s(s(s(elem_7))))))) != s(s(s(s(s(s(s(elem_7)))))))
| s(s(s(s(s(s(s(elem_7))))))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_7))))))),s(s(s(s(s(s(s(elem_7)))))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_407,plain,
( s(s(s(s(s(s(elem_7)))))) != elem_25
| s(s(s(s(s(s(s(elem_7))))))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_7))))))),s(s(s(s(s(s(s(elem_7)))))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
s(s(s(s(s(s(s(elem_7))))))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),elem_25) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(elem_7))))))) != s(elem_25)
| s(s(s(s(s(s(s(elem_7))))))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(elem_7))))))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_410,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(elem_7))))))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_7))))))),s(elem_25)) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
s(s(s(s(s(s(s(elem_7))))))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_410]) ).
cnf(refute_0_412,plain,
s(s(s(s(s(s(s(s(elem_7)))))))) = s(s(s(s(s(s(s(s(elem_7)))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(elem_7)))))))))]]) ).
cnf(refute_0_413,plain,
( s(s(s(s(s(s(s(elem_7))))))) != elem_28
| s(s(s(s(s(s(s(s(elem_7)))))))) != s(s(s(s(s(s(s(s(elem_7))))))))
| s(s(s(s(s(s(s(s(elem_7)))))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),s(s(s(s(s(s(s(s(elem_7))))))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_414,plain,
( s(s(s(s(s(s(s(elem_7))))))) != elem_28
| s(s(s(s(s(s(s(s(elem_7)))))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),s(s(s(s(s(s(s(s(elem_7))))))))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
s(s(s(s(s(s(s(s(elem_7)))))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_7))))))),elem_28) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(elem_7)))))))) != s(elem_28)
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(elem_7)))))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_417,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),s(elem_28)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
s(s(s(s(s(s(s(s(elem_7)))))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_417]) ).
cnf(refute_0_419,plain,
( elem_31 != elem_4
| s(s(s(s(s(s(s(s(elem_7)))))))) != elem_31
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_4 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_31) ),[1],$fot(elem_4)]]) ).
cnf(refute_0_420,plain,
( elem_31 != elem_4
| s(s(s(s(s(s(s(s(elem_7)))))))) = elem_4 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_31) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
elem_31 != elem_4,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_4) )],[refute_0_420,refute_0_369]) ).
cnf(refute_0_422,plain,
( elem_4 != elem_31
| elem_31 = elem_4 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_4)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_423,plain,
elem_4 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_4) )],[refute_0_422,refute_0_421]) ).
cnf(refute_0_424,plain,
select(earray_62,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_4,elem_31) )],[refute_0_363,refute_0_423]) ).
cnf(refute_0_425,plain,
( select(earray_62,elem_31) != elem_43
| select(earray_64,elem_31) != select(earray_62,elem_31)
| select(earray_64,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_64,elem_31),select(earray_62,elem_31)) ),[1],$fot(elem_43)]]) ).
cnf(refute_0_426,plain,
( select(earray_64,elem_31) != select(earray_62,elem_31)
| select(earray_64,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_62,elem_31),elem_43) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( elem_0 = elem_31
| select(earray_64,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_64,elem_31),select(earray_62,elem_31)) )],[refute_0_25,refute_0_426]) ).
cnf(refute_0_428,plain,
s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != elem_0,
inference(subst,[],[as10:[bind(X,$fot(elem_0))]]) ).
cnf(refute_0_429,plain,
( elem_4 != s(elem_0)
| s(elem_0) = elem_4 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_4)),bind(Y,$fot(s(elem_0)))]]) ).
cnf(refute_0_430,plain,
s(elem_0) = elem_4,
inference(resolve,[$cnf( $equal(elem_4,s(elem_0)) )],[hyp49,refute_0_429]) ).
cnf(refute_0_431,plain,
( s(elem_0) != elem_4
| s(s(s(s(s(s(s(s(s(elem_4))))))))) != elem_0
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = elem_0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),elem_0) ),[0,0,0,0,0,0,0,0,0,0],$fot(elem_4)]]) ).
cnf(refute_0_432,plain,
( s(s(s(s(s(s(s(s(s(elem_4))))))))) != elem_0
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = elem_0 ),
inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
s(s(s(s(s(s(s(s(s(elem_4))))))))) != elem_0,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),elem_0) )],[refute_0_432,refute_0_428]) ).
cnf(refute_0_434,plain,
s(s(elem_4)) = s(s(elem_4)),
introduced(tautology,[refl,[$fot(s(s(elem_4)))]]) ).
cnf(refute_0_435,plain,
( s(elem_4) != elem_7
| s(s(elem_4)) != s(s(elem_4))
| s(s(elem_4)) = s(elem_7) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_4)),s(s(elem_4))) ),[1,0],$fot(elem_7)]]) ).
cnf(refute_0_436,plain,
( s(elem_4) != elem_7
| s(s(elem_4)) = s(elem_7) ),
inference(resolve,[$cnf( $equal(s(s(elem_4)),s(s(elem_4))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
s(s(elem_4)) = s(elem_7),
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_366,refute_0_436]) ).
cnf(refute_0_438,plain,
( s(elem_7) != elem_10
| s(s(elem_4)) != s(elem_7)
| s(s(elem_4)) = elem_10 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_4)))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).
cnf(refute_0_439,plain,
( s(elem_7) != elem_10
| s(s(elem_4)) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(elem_4)),s(elem_7)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
s(s(elem_4)) = elem_10,
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_309,refute_0_439]) ).
cnf(refute_0_441,plain,
s(s(s(elem_4))) = s(s(s(elem_4))),
introduced(tautology,[refl,[$fot(s(s(s(elem_4))))]]) ).
cnf(refute_0_442,plain,
( s(s(elem_4)) != elem_10
| s(s(s(elem_4))) != s(s(s(elem_4)))
| s(s(s(elem_4))) = s(elem_10) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_4))),s(s(s(elem_4)))) ),[1,0],$fot(elem_10)]]) ).
cnf(refute_0_443,plain,
( s(s(elem_4)) != elem_10
| s(s(s(elem_4))) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(s(s(elem_4)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
s(s(s(elem_4))) = s(elem_10),
inference(resolve,[$cnf( $equal(s(s(elem_4)),elem_10) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
( s(elem_10) != elem_13
| s(s(s(elem_4))) != s(elem_10)
| s(s(s(elem_4))) = elem_13 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_4))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_446,plain,
( s(elem_10) != elem_13
| s(s(s(elem_4))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(elem_10)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
s(s(s(elem_4))) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_259,refute_0_446]) ).
cnf(refute_0_448,plain,
s(s(s(s(elem_4)))) = s(s(s(s(elem_4)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_4)))))]]) ).
cnf(refute_0_449,plain,
( s(s(s(elem_4))) != elem_13
| s(s(s(s(elem_4)))) != s(s(s(s(elem_4))))
| s(s(s(s(elem_4)))) = s(elem_13) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_4)))),s(s(s(s(elem_4))))) ),[1,0],$fot(elem_13)]]) ).
cnf(refute_0_450,plain,
( s(s(s(elem_4))) != elem_13
| s(s(s(s(elem_4)))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),s(s(s(s(elem_4))))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
s(s(s(s(elem_4)))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),elem_13) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
( s(elem_13) != elem_16
| s(s(s(s(elem_4)))) != s(elem_13)
| s(s(s(s(elem_4)))) = elem_16 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_4)))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_453,plain,
( s(elem_13) != elem_16
| s(s(s(s(elem_4)))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),s(elem_13)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
s(s(s(s(elem_4)))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_453]) ).
cnf(refute_0_455,plain,
s(s(s(s(s(elem_4))))) = s(s(s(s(s(elem_4))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_4))))))]]) ).
cnf(refute_0_456,plain,
( s(s(s(s(elem_4)))) != elem_16
| s(s(s(s(s(elem_4))))) != s(s(s(s(s(elem_4)))))
| s(s(s(s(s(elem_4))))) = s(elem_16) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_4))))),s(s(s(s(s(elem_4)))))) ),[1,0],$fot(elem_16)]]) ).
cnf(refute_0_457,plain,
( s(s(s(s(elem_4)))) != elem_16
| s(s(s(s(s(elem_4))))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),s(s(s(s(s(elem_4)))))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
s(s(s(s(s(elem_4))))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),elem_16) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(elem_4))))) != s(elem_16)
| s(s(s(s(s(elem_4))))) = elem_19 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_4))))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_460,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(elem_4))))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),s(elem_16)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
s(s(s(s(s(elem_4))))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_460]) ).
cnf(refute_0_462,plain,
s(s(s(s(s(s(elem_4)))))) = s(s(s(s(s(s(elem_4)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_4)))))))]]) ).
cnf(refute_0_463,plain,
( s(s(s(s(s(elem_4))))) != elem_19
| s(s(s(s(s(s(elem_4)))))) != s(s(s(s(s(s(elem_4))))))
| s(s(s(s(s(s(elem_4)))))) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),s(s(s(s(s(s(elem_4))))))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_464,plain,
( s(s(s(s(s(elem_4))))) != elem_19
| s(s(s(s(s(s(elem_4)))))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),s(s(s(s(s(s(elem_4))))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
s(s(s(s(s(s(elem_4)))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),elem_19) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(elem_4)))))) != s(elem_19)
| s(s(s(s(s(s(elem_4)))))) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(elem_4)))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_467,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(elem_4)))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),s(elem_19)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
s(s(s(s(s(s(elem_4)))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_467]) ).
cnf(refute_0_469,plain,
s(s(s(s(s(s(s(elem_4))))))) = s(s(s(s(s(s(s(elem_4))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_4))))))))]]) ).
cnf(refute_0_470,plain,
( s(s(s(s(s(s(elem_4)))))) != elem_22
| s(s(s(s(s(s(s(elem_4))))))) != s(s(s(s(s(s(s(elem_4)))))))
| s(s(s(s(s(s(s(elem_4))))))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),s(s(s(s(s(s(s(elem_4)))))))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_471,plain,
( s(s(s(s(s(s(elem_4)))))) != elem_22
| s(s(s(s(s(s(s(elem_4))))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),s(s(s(s(s(s(s(elem_4)))))))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
s(s(s(s(s(s(s(elem_4))))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),elem_22) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(elem_4))))))) != s(elem_22)
| s(s(s(s(s(s(s(elem_4))))))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(elem_4))))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_474,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(elem_4))))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),s(elem_22)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
s(s(s(s(s(s(s(elem_4))))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_474]) ).
cnf(refute_0_476,plain,
s(s(s(s(s(s(s(s(elem_4)))))))) = s(s(s(s(s(s(s(s(elem_4)))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(elem_4)))))))))]]) ).
cnf(refute_0_477,plain,
( s(s(s(s(s(s(s(elem_4))))))) != elem_25
| s(s(s(s(s(s(s(s(elem_4)))))))) != s(s(s(s(s(s(s(s(elem_4))))))))
| s(s(s(s(s(s(s(s(elem_4)))))))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_4)))))))),s(s(s(s(s(s(s(s(elem_4))))))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_478,plain,
( s(s(s(s(s(s(s(elem_4))))))) != elem_25
| s(s(s(s(s(s(s(s(elem_4)))))))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_4)))))))),s(s(s(s(s(s(s(s(elem_4))))))))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
s(s(s(s(s(s(s(s(elem_4)))))))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),elem_25) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(s(elem_4)))))))) != s(elem_25)
| s(s(s(s(s(s(s(s(elem_4)))))))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(elem_4)))))))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_481,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(s(elem_4)))))))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_4)))))))),s(elem_25)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
s(s(s(s(s(s(s(s(elem_4)))))))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_481]) ).
cnf(refute_0_483,plain,
s(s(s(s(s(s(s(s(s(elem_4))))))))) = s(s(s(s(s(s(s(s(s(elem_4))))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(s(elem_4))))))))))]]) ).
cnf(refute_0_484,plain,
( s(s(s(s(s(s(s(s(elem_4)))))))) != elem_28
| s(s(s(s(s(s(s(s(s(elem_4))))))))) != s(s(s(s(s(s(s(s(s(elem_4)))))))))
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),s(s(s(s(s(s(s(s(s(elem_4)))))))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_485,plain,
( s(s(s(s(s(s(s(s(elem_4)))))))) != elem_28
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),s(s(s(s(s(s(s(s(s(elem_4)))))))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
s(s(s(s(s(s(s(s(s(elem_4))))))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_4)))))))),elem_28) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(s(elem_4))))))))) != s(elem_28)
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(s(elem_4))))))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_488,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),s(elem_28)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_488]) ).
cnf(refute_0_490,plain,
( elem_31 != elem_0
| s(s(s(s(s(s(s(s(s(elem_4))))))))) != elem_31
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_0 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),elem_31) ),[1],$fot(elem_0)]]) ).
cnf(refute_0_491,plain,
( elem_31 != elem_0
| s(s(s(s(s(s(s(s(s(elem_4))))))))) = elem_0 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),elem_31) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
elem_31 != elem_0,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_4))))))))),elem_0) )],[refute_0_491,refute_0_433]) ).
cnf(refute_0_493,plain,
( elem_0 != elem_31
| elem_31 = elem_0 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_0)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_494,plain,
elem_0 != elem_31,
inference(resolve,[$cnf( $equal(elem_31,elem_0) )],[refute_0_493,refute_0_492]) ).
cnf(refute_0_495,plain,
select(earray_64,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(elem_0,elem_31) )],[refute_0_427,refute_0_494]) ).
cnf(refute_0_496,plain,
( select(earray_39,elem_31) != select(earray_64,elem_31)
| select(earray_64,elem_31) != elem_43
| select(earray_39,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( ~ $equal(select(earray_39,elem_31),elem_43) ),[0],$fot(select(earray_64,elem_31))]]) ).
cnf(refute_0_497,plain,
( select(earray_39,elem_31) != select(earray_64,elem_31)
| select(earray_39,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_64,elem_31),elem_43) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
( i = elem_31
| select(earray_39,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_39,elem_31),select(earray_64,elem_31)) )],[refute_0_18,refute_0_497]) ).
cnf(refute_0_499,plain,
s(s(s(s(s(s(s(s(s(s(s(i))))))))))) != i,
inference(subst,[],[as11:[bind(X,$fot(i))]]) ).
cnf(refute_0_500,plain,
( elem_0 != s(i)
| s(i) = elem_0 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_0)),bind(Y,$fot(s(i)))]]) ).
cnf(refute_0_501,plain,
s(i) = elem_0,
inference(resolve,[$cnf( $equal(elem_0,s(i)) )],[hyp26,refute_0_500]) ).
cnf(refute_0_502,plain,
( s(i) != elem_0
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != i
| s(s(s(s(s(s(s(s(s(s(s(i))))))))))) = i ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(s(s(s(i))))))))))),i) ),[0,0,0,0,0,0,0,0,0,0,0],$fot(elem_0)]]) ).
cnf(refute_0_503,plain,
( s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != i
| s(s(s(s(s(s(s(s(s(s(s(i))))))))))) = i ),
inference(resolve,[$cnf( $equal(s(i),elem_0) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != i,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(s(i))))))))))),i) )],[refute_0_503,refute_0_499]) ).
cnf(refute_0_505,plain,
s(s(elem_0)) = s(s(elem_0)),
introduced(tautology,[refl,[$fot(s(s(elem_0)))]]) ).
cnf(refute_0_506,plain,
( s(elem_0) != elem_4
| s(s(elem_0)) != s(s(elem_0))
| s(s(elem_0)) = s(elem_4) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_0)),s(s(elem_0))) ),[1,0],$fot(elem_4)]]) ).
cnf(refute_0_507,plain,
( s(elem_0) != elem_4
| s(s(elem_0)) = s(elem_4) ),
inference(resolve,[$cnf( $equal(s(s(elem_0)),s(s(elem_0))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
s(s(elem_0)) = s(elem_4),
inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_430,refute_0_507]) ).
cnf(refute_0_509,plain,
( s(elem_4) != elem_7
| s(s(elem_0)) != s(elem_4)
| s(s(elem_0)) = elem_7 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(elem_0)))),bind(Y,$fot(s(elem_4))),bind(Z,$fot(elem_7))]]) ).
cnf(refute_0_510,plain,
( s(elem_4) != elem_7
| s(s(elem_0)) = elem_7 ),
inference(resolve,[$cnf( $equal(s(s(elem_0)),s(elem_4)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
s(s(elem_0)) = elem_7,
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_366,refute_0_510]) ).
cnf(refute_0_512,plain,
s(s(s(elem_0))) = s(s(s(elem_0))),
introduced(tautology,[refl,[$fot(s(s(s(elem_0))))]]) ).
cnf(refute_0_513,plain,
( s(s(elem_0)) != elem_7
| s(s(s(elem_0))) != s(s(s(elem_0)))
| s(s(s(elem_0))) = s(elem_7) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_0))),s(s(s(elem_0)))) ),[1,0],$fot(elem_7)]]) ).
cnf(refute_0_514,plain,
( s(s(elem_0)) != elem_7
| s(s(s(elem_0))) = s(elem_7) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(s(s(elem_0)))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
s(s(s(elem_0))) = s(elem_7),
inference(resolve,[$cnf( $equal(s(s(elem_0)),elem_7) )],[refute_0_511,refute_0_514]) ).
cnf(refute_0_516,plain,
( s(elem_7) != elem_10
| s(s(s(elem_0))) != s(elem_7)
| s(s(s(elem_0))) = elem_10 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(elem_0))))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).
cnf(refute_0_517,plain,
( s(elem_7) != elem_10
| s(s(s(elem_0))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(elem_7)) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
s(s(s(elem_0))) = elem_10,
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_309,refute_0_517]) ).
cnf(refute_0_519,plain,
s(s(s(s(elem_0)))) = s(s(s(s(elem_0)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_0)))))]]) ).
cnf(refute_0_520,plain,
( s(s(s(elem_0))) != elem_10
| s(s(s(s(elem_0)))) != s(s(s(s(elem_0))))
| s(s(s(s(elem_0)))) = s(elem_10) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_0)))),s(s(s(s(elem_0))))) ),[1,0],$fot(elem_10)]]) ).
cnf(refute_0_521,plain,
( s(s(s(elem_0))) != elem_10
| s(s(s(s(elem_0)))) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(s(s(s(elem_0))))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
s(s(s(s(elem_0)))) = s(elem_10),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),elem_10) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
( s(elem_10) != elem_13
| s(s(s(s(elem_0)))) != s(elem_10)
| s(s(s(s(elem_0)))) = elem_13 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(elem_0)))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_524,plain,
( s(elem_10) != elem_13
| s(s(s(s(elem_0)))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(elem_10)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
s(s(s(s(elem_0)))) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_259,refute_0_524]) ).
cnf(refute_0_526,plain,
s(s(s(s(s(elem_0))))) = s(s(s(s(s(elem_0))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_0))))))]]) ).
cnf(refute_0_527,plain,
( s(s(s(s(elem_0)))) != elem_13
| s(s(s(s(s(elem_0))))) != s(s(s(s(s(elem_0)))))
| s(s(s(s(s(elem_0))))) = s(elem_13) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_0))))),s(s(s(s(s(elem_0)))))) ),[1,0],$fot(elem_13)]]) ).
cnf(refute_0_528,plain,
( s(s(s(s(elem_0)))) != elem_13
| s(s(s(s(s(elem_0))))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),s(s(s(s(s(elem_0)))))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
s(s(s(s(s(elem_0))))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),elem_13) )],[refute_0_525,refute_0_528]) ).
cnf(refute_0_530,plain,
( s(elem_13) != elem_16
| s(s(s(s(s(elem_0))))) != s(elem_13)
| s(s(s(s(s(elem_0))))) = elem_16 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(elem_0))))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_531,plain,
( s(elem_13) != elem_16
| s(s(s(s(s(elem_0))))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),s(elem_13)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
s(s(s(s(s(elem_0))))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_216,refute_0_531]) ).
cnf(refute_0_533,plain,
s(s(s(s(s(s(elem_0)))))) = s(s(s(s(s(s(elem_0)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_0)))))))]]) ).
cnf(refute_0_534,plain,
( s(s(s(s(s(elem_0))))) != elem_16
| s(s(s(s(s(s(elem_0)))))) != s(s(s(s(s(s(elem_0))))))
| s(s(s(s(s(s(elem_0)))))) = s(elem_16) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),s(s(s(s(s(s(elem_0))))))) ),[1,0],$fot(elem_16)]]) ).
cnf(refute_0_535,plain,
( s(s(s(s(s(elem_0))))) != elem_16
| s(s(s(s(s(s(elem_0)))))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),s(s(s(s(s(s(elem_0))))))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
s(s(s(s(s(s(elem_0)))))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),elem_16) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(s(elem_0)))))) != s(elem_16)
| s(s(s(s(s(s(elem_0)))))) = elem_19 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(elem_0)))))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_538,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(s(elem_0)))))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),s(elem_16)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
s(s(s(s(s(s(elem_0)))))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_180,refute_0_538]) ).
cnf(refute_0_540,plain,
s(s(s(s(s(s(s(elem_0))))))) = s(s(s(s(s(s(s(elem_0))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_0))))))))]]) ).
cnf(refute_0_541,plain,
( s(s(s(s(s(s(elem_0)))))) != elem_19
| s(s(s(s(s(s(s(elem_0))))))) != s(s(s(s(s(s(s(elem_0)))))))
| s(s(s(s(s(s(s(elem_0))))))) = s(elem_19) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),s(s(s(s(s(s(s(elem_0)))))))) ),[1,0],$fot(elem_19)]]) ).
cnf(refute_0_542,plain,
( s(s(s(s(s(s(elem_0)))))) != elem_19
| s(s(s(s(s(s(s(elem_0))))))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),s(s(s(s(s(s(s(elem_0)))))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
s(s(s(s(s(s(s(elem_0))))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),elem_19) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(s(elem_0))))))) != s(elem_19)
| s(s(s(s(s(s(s(elem_0))))))) = elem_22 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(elem_0))))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_545,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(s(elem_0))))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),s(elem_19)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
s(s(s(s(s(s(s(elem_0))))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_151,refute_0_545]) ).
cnf(refute_0_547,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = s(s(s(s(s(s(s(s(elem_0)))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(elem_0)))))))))]]) ).
cnf(refute_0_548,plain,
( s(s(s(s(s(s(s(elem_0))))))) != elem_22
| s(s(s(s(s(s(s(s(elem_0)))))))) != s(s(s(s(s(s(s(s(elem_0))))))))
| s(s(s(s(s(s(s(s(elem_0)))))))) = s(elem_22) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),s(s(s(s(s(s(s(s(elem_0))))))))) ),[1,0],$fot(elem_22)]]) ).
cnf(refute_0_549,plain,
( s(s(s(s(s(s(s(elem_0))))))) != elem_22
| s(s(s(s(s(s(s(s(elem_0)))))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),s(s(s(s(s(s(s(s(elem_0))))))))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),elem_22) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(s(elem_0)))))))) != s(elem_22)
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(elem_0)))))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_552,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),s(elem_22)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_127,refute_0_552]) ).
cnf(refute_0_554,plain,
s(s(s(s(s(s(s(s(s(elem_0))))))))) = s(s(s(s(s(s(s(s(s(elem_0))))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(s(elem_0))))))))))]]) ).
cnf(refute_0_555,plain,
( s(s(s(s(s(s(s(s(elem_0)))))))) != elem_25
| s(s(s(s(s(s(s(s(s(elem_0))))))))) != s(s(s(s(s(s(s(s(s(elem_0)))))))))
| s(s(s(s(s(s(s(s(s(elem_0))))))))) = s(elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_0))))))))),s(s(s(s(s(s(s(s(s(elem_0)))))))))) ),[1,0],$fot(elem_25)]]) ).
cnf(refute_0_556,plain,
( s(s(s(s(s(s(s(s(elem_0)))))))) != elem_25
| s(s(s(s(s(s(s(s(s(elem_0))))))))) = s(elem_25) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_0))))))))),s(s(s(s(s(s(s(s(s(elem_0)))))))))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
s(s(s(s(s(s(s(s(s(elem_0))))))))) = s(elem_25),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),elem_25) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(s(s(elem_0))))))))) != s(elem_25)
| s(s(s(s(s(s(s(s(s(elem_0))))))))) = elem_28 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(s(elem_0))))))))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).
cnf(refute_0_559,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(s(s(s(s(elem_0))))))))) = elem_28 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_0))))))))),s(elem_25)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
s(s(s(s(s(s(s(s(s(elem_0))))))))) = elem_28,
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_112,refute_0_559]) ).
cnf(refute_0_561,plain,
s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))]]) ).
cnf(refute_0_562,plain,
( s(s(s(s(s(s(s(s(s(elem_0))))))))) != elem_28
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != s(s(s(s(s(s(s(s(s(s(elem_0))))))))))
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = s(elem_28) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),s(s(s(s(s(s(s(s(s(s(elem_0))))))))))) ),[1,0],$fot(elem_28)]]) ).
cnf(refute_0_563,plain,
( s(s(s(s(s(s(s(s(s(elem_0))))))))) != elem_28
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = s(elem_28) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),s(s(s(s(s(s(s(s(s(s(elem_0))))))))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = s(elem_28),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_0))))))))),elem_28) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != s(elem_28)
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = elem_31 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).
cnf(refute_0_566,plain,
( s(elem_28) != elem_31
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = elem_31 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),s(elem_28)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = elem_31,
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_100,refute_0_566]) ).
cnf(refute_0_568,plain,
( elem_31 != i
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) != elem_31
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = i ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),elem_31) ),[1],$fot(i)]]) ).
cnf(refute_0_569,plain,
( elem_31 != i
| s(s(s(s(s(s(s(s(s(s(elem_0)))))))))) = i ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),elem_31) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
elem_31 != i,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),i) )],[refute_0_569,refute_0_504]) ).
cnf(refute_0_571,plain,
( i != elem_31
| elem_31 = i ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(i)),bind(Y,$fot(elem_31))]]) ).
cnf(refute_0_572,plain,
i != elem_31,
inference(resolve,[$cnf( $equal(elem_31,i) )],[refute_0_571,refute_0_570]) ).
cnf(refute_0_573,plain,
select(earray_39,elem_31) = elem_43,
inference(resolve,[$cnf( $equal(i,elem_31) )],[refute_0_498,refute_0_572]) ).
cnf(refute_0_574,plain,
( elem_37 = X_72
| select(store(earray_36,elem_37,elem_38),X_72) = select(earray_36,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_36)),bind(E,$fot(elem_38)),bind(I,$fot(elem_37)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_575,plain,
( earray_39 != store(earray_36,elem_37,elem_38)
| store(earray_36,elem_37,elem_38) = earray_39 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_39)),bind(Y,$fot(store(earray_36,elem_37,elem_38)))]]) ).
cnf(refute_0_576,plain,
store(earray_36,elem_37,elem_38) = earray_39,
inference(resolve,[$cnf( $equal(earray_39,store(earray_36,elem_37,elem_38)) )],[hyp10,refute_0_575]) ).
cnf(refute_0_577,plain,
( select(store(earray_36,elem_37,elem_38),X_72) != select(earray_36,X_72)
| store(earray_36,elem_37,elem_38) != earray_39
| select(earray_39,X_72) = select(earray_36,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_36,elem_37,elem_38),X_72),select(earray_36,X_72)) ),[0,0],$fot(earray_39)]]) ).
cnf(refute_0_578,plain,
( select(store(earray_36,elem_37,elem_38),X_72) != select(earray_36,X_72)
| select(earray_39,X_72) = select(earray_36,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_36,elem_37,elem_38),earray_39) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
( elem_37 = X_72
| select(earray_39,X_72) = select(earray_36,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_36,elem_37,elem_38),X_72),select(earray_36,X_72)) )],[refute_0_574,refute_0_578]) ).
cnf(refute_0_580,plain,
( elem_37 = elem_31
| select(earray_39,elem_31) = select(earray_36,elem_31) ),
inference(subst,[],[refute_0_579:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_581,plain,
( select(earray_39,elem_31) != elem_43
| select(earray_39,elem_31) != select(earray_36,elem_31)
| select(earray_36,elem_31) = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_39,elem_31),elem_43) ),[0],$fot(select(earray_36,elem_31))]]) ).
cnf(refute_0_582,plain,
( select(earray_39,elem_31) != elem_43
| elem_37 = elem_31
| select(earray_36,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_39,elem_31),select(earray_36,elem_31)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( elem_37 = elem_31
| select(earray_36,elem_31) = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_39,elem_31),elem_43) )],[refute_0_573,refute_0_582]) ).
cnf(refute_0_584,plain,
( elem_34 = X_72
| select(store(earray_33,elem_34,elem_35),X_72) = select(earray_33,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_33)),bind(E,$fot(elem_35)),bind(I,$fot(elem_34)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_585,plain,
( earray_36 != store(earray_33,elem_34,elem_35)
| store(earray_33,elem_34,elem_35) = earray_36 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_36)),bind(Y,$fot(store(earray_33,elem_34,elem_35)))]]) ).
cnf(refute_0_586,plain,
store(earray_33,elem_34,elem_35) = earray_36,
inference(resolve,[$cnf( $equal(earray_36,store(earray_33,elem_34,elem_35)) )],[hyp9,refute_0_585]) ).
cnf(refute_0_587,plain,
( select(store(earray_33,elem_34,elem_35),X_72) != select(earray_33,X_72)
| store(earray_33,elem_34,elem_35) != earray_36
| select(earray_36,X_72) = select(earray_33,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_33,elem_34,elem_35),X_72),select(earray_33,X_72)) ),[0,0],$fot(earray_36)]]) ).
cnf(refute_0_588,plain,
( select(store(earray_33,elem_34,elem_35),X_72) != select(earray_33,X_72)
| select(earray_36,X_72) = select(earray_33,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_33,elem_34,elem_35),earray_36) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
( elem_34 = X_72
| select(earray_36,X_72) = select(earray_33,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_33,elem_34,elem_35),X_72),select(earray_33,X_72)) )],[refute_0_584,refute_0_588]) ).
cnf(refute_0_590,plain,
( elem_34 = elem_31
| select(earray_36,elem_31) = select(earray_33,elem_31) ),
inference(subst,[],[refute_0_589:[bind(X_72,$fot(elem_31))]]) ).
cnf(refute_0_591,plain,
select(store(earray_30,elem_31,elem_32),elem_31) = elem_32,
inference(subst,[],[a1:[bind(A,$fot(earray_30)),bind(E,$fot(elem_32)),bind(I,$fot(elem_31))]]) ).
cnf(refute_0_592,plain,
( earray_33 != store(earray_30,elem_31,elem_32)
| store(earray_30,elem_31,elem_32) = earray_33 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_33)),bind(Y,$fot(store(earray_30,elem_31,elem_32)))]]) ).
cnf(refute_0_593,plain,
store(earray_30,elem_31,elem_32) = earray_33,
inference(resolve,[$cnf( $equal(earray_33,store(earray_30,elem_31,elem_32)) )],[hyp8,refute_0_592]) ).
cnf(refute_0_594,plain,
( select(store(earray_30,elem_31,elem_32),elem_31) != elem_32
| store(earray_30,elem_31,elem_32) != earray_33
| select(earray_33,elem_31) = elem_32 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),elem_31),elem_32) ),[0,0],$fot(earray_33)]]) ).
cnf(refute_0_595,plain,
( select(store(earray_30,elem_31,elem_32),elem_31) != elem_32
| select(earray_33,elem_31) = elem_32 ),
inference(resolve,[$cnf( $equal(store(earray_30,elem_31,elem_32),earray_33) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
select(earray_33,elem_31) = elem_32,
inference(resolve,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),elem_31),elem_32) )],[refute_0_591,refute_0_595]) ).
cnf(refute_0_597,plain,
( select(earray_33,elem_31) != elem_32
| select(earray_36,elem_31) != select(earray_33,elem_31)
| select(earray_36,elem_31) = elem_32 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_36,elem_31),select(earray_33,elem_31)) ),[1],$fot(elem_32)]]) ).
cnf(refute_0_598,plain,
( select(earray_36,elem_31) != select(earray_33,elem_31)
| select(earray_36,elem_31) = elem_32 ),
inference(resolve,[$cnf( $equal(select(earray_33,elem_31),elem_32) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( elem_34 = elem_31
| select(earray_36,elem_31) = elem_32 ),
inference(resolve,[$cnf( $equal(select(earray_36,elem_31),select(earray_33,elem_31)) )],[refute_0_590,refute_0_598]) ).
cnf(refute_0_600,plain,
s(elem_31) != elem_31,
inference(subst,[],[as1:[bind(X,$fot(elem_31))]]) ).
cnf(refute_0_601,plain,
( elem_34 != s(elem_31)
| s(elem_31) = elem_34 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_34)),bind(Y,$fot(s(elem_31)))]]) ).
cnf(refute_0_602,plain,
s(elem_31) = elem_34,
inference(resolve,[$cnf( $equal(elem_34,s(elem_31)) )],[hyp45,refute_0_601]) ).
cnf(refute_0_603,plain,
( elem_34 != elem_31
| s(elem_31) != elem_34
| s(elem_31) = elem_31 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_31),elem_34) ),[1],$fot(elem_31)]]) ).
cnf(refute_0_604,plain,
( elem_34 != elem_31
| s(elem_31) = elem_31 ),
inference(resolve,[$cnf( $equal(s(elem_31),elem_34) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
elem_34 != elem_31,
inference(resolve,[$cnf( $equal(s(elem_31),elem_31) )],[refute_0_604,refute_0_600]) ).
cnf(refute_0_606,plain,
select(earray_36,elem_31) = elem_32,
inference(resolve,[$cnf( $equal(elem_34,elem_31) )],[refute_0_599,refute_0_605]) ).
cnf(refute_0_607,plain,
( select(earray_36,elem_31) != elem_32
| select(earray_36,elem_31) != elem_43
| elem_32 = elem_43 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_36,elem_31),elem_43) ),[0],$fot(elem_32)]]) ).
cnf(refute_0_608,plain,
( select(earray_36,elem_31) != elem_43
| elem_32 = elem_43 ),
inference(resolve,[$cnf( $equal(select(earray_36,elem_31),elem_32) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( elem_32 = elem_43
| elem_37 = elem_31 ),
inference(resolve,[$cnf( $equal(select(earray_36,elem_31),elem_43) )],[refute_0_583,refute_0_608]) ).
cnf(refute_0_610,plain,
s(s(elem_31)) != elem_31,
inference(subst,[],[as2:[bind(X,$fot(elem_31))]]) ).
cnf(refute_0_611,plain,
( s(elem_31) != elem_34
| s(elem_34) != elem_31
| s(s(elem_31)) = elem_31 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(elem_31)),elem_31) ),[0,0],$fot(elem_34)]]) ).
cnf(refute_0_612,plain,
( s(elem_34) != elem_31
| s(s(elem_31)) = elem_31 ),
inference(resolve,[$cnf( $equal(s(elem_31),elem_34) )],[refute_0_602,refute_0_611]) ).
cnf(refute_0_613,plain,
s(elem_34) != elem_31,
inference(resolve,[$cnf( $equal(s(s(elem_31)),elem_31) )],[refute_0_612,refute_0_610]) ).
cnf(refute_0_614,plain,
( elem_37 != s(elem_34)
| s(elem_34) = elem_37 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_37)),bind(Y,$fot(s(elem_34)))]]) ).
cnf(refute_0_615,plain,
s(elem_34) = elem_37,
inference(resolve,[$cnf( $equal(elem_37,s(elem_34)) )],[hyp47,refute_0_614]) ).
cnf(refute_0_616,plain,
( elem_37 != elem_31
| s(elem_34) != elem_37
| s(elem_34) = elem_31 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_34),elem_37) ),[1],$fot(elem_31)]]) ).
cnf(refute_0_617,plain,
( elem_37 != elem_31
| s(elem_34) = elem_31 ),
inference(resolve,[$cnf( $equal(s(elem_34),elem_37) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
elem_37 != elem_31,
inference(resolve,[$cnf( $equal(s(elem_34),elem_31) )],[refute_0_617,refute_0_613]) ).
cnf(refute_0_619,plain,
elem_32 = elem_43,
inference(resolve,[$cnf( $equal(elem_37,elem_31) )],[refute_0_609,refute_0_618]) ).
cnf(refute_0_620,plain,
( elem_32 != elem_43
| elem_43 = elem_32 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_32)),bind(Y,$fot(elem_43))]]) ).
cnf(refute_0_621,plain,
elem_43 = elem_32,
inference(resolve,[$cnf( $equal(elem_32,elem_43) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
s(elem_43) = s(elem_43),
introduced(tautology,[refl,[$fot(s(elem_43))]]) ).
cnf(refute_0_623,plain,
( elem_43 != elem_32
| s(elem_43) != s(elem_43)
| s(elem_43) = s(elem_32) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_43),s(elem_43)) ),[1,0],$fot(elem_32)]]) ).
cnf(refute_0_624,plain,
( elem_43 != elem_32
| s(elem_43) = s(elem_32) ),
inference(resolve,[$cnf( $equal(s(elem_43),s(elem_43)) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
s(elem_43) = s(elem_32),
inference(resolve,[$cnf( $equal(elem_43,elem_32) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
( s(elem_32) != elem_35
| s(elem_43) != s(elem_32)
| s(elem_43) = elem_35 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(elem_43))),bind(Y,$fot(s(elem_32))),bind(Z,$fot(elem_35))]]) ).
cnf(refute_0_627,plain,
( s(elem_32) != elem_35
| s(elem_43) = elem_35 ),
inference(resolve,[$cnf( $equal(s(elem_43),s(elem_32)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
s(elem_43) = elem_35,
inference(resolve,[$cnf( $equal(s(elem_32),elem_35) )],[refute_0_6,refute_0_627]) ).
cnf(refute_0_629,plain,
( s(elem_43) != elem_35
| s(elem_43) != elem_41
| elem_35 = elem_41 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_43),elem_41) ),[0],$fot(elem_35)]]) ).
cnf(refute_0_630,plain,
( s(elem_43) != elem_41
| elem_35 = elem_41 ),
inference(resolve,[$cnf( $equal(s(elem_43),elem_35) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
elem_35 = elem_41,
inference(resolve,[$cnf( $equal(s(elem_43),elem_41) )],[hyp52,refute_0_630]) ).
cnf(refute_0_632,plain,
( elem_35 != elem_41
| elem_41 = elem_35 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(elem_41))]]) ).
cnf(refute_0_633,plain,
elem_41 = elem_35,
inference(resolve,[$cnf( $equal(elem_35,elem_41) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
s(elem_41) = s(elem_41),
introduced(tautology,[refl,[$fot(s(elem_41))]]) ).
cnf(refute_0_635,plain,
( elem_41 != elem_35
| s(elem_41) != s(elem_41)
| s(elem_41) = s(elem_35) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_41),s(elem_41)) ),[1,0],$fot(elem_35)]]) ).
cnf(refute_0_636,plain,
( elem_41 != elem_35
| s(elem_41) = s(elem_35) ),
inference(resolve,[$cnf( $equal(s(elem_41),s(elem_41)) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
s(elem_41) = s(elem_35),
inference(resolve,[$cnf( $equal(elem_41,elem_35) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( s(elem_35) != elem_38
| s(elem_41) != s(elem_35)
| s(elem_41) = elem_38 ),
inference(subst,[],[refute_0_136:[bind(X0,$fot(s(elem_41))),bind(Y,$fot(s(elem_35))),bind(Z,$fot(elem_38))]]) ).
cnf(refute_0_639,plain,
( s(elem_35) != elem_38
| s(elem_41) = elem_38 ),
inference(resolve,[$cnf( $equal(s(elem_41),s(elem_35)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
s(elem_41) = elem_38,
inference(resolve,[$cnf( $equal(s(elem_35),elem_38) )],[refute_0_4,refute_0_639]) ).
cnf(refute_0_641,plain,
( s(elem_41) != elem_38
| s(elem_41) != elem_40
| elem_38 = elem_40 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_41),elem_40) ),[0],$fot(elem_38)]]) ).
cnf(refute_0_642,plain,
( s(elem_41) != elem_40
| elem_38 = elem_40 ),
inference(resolve,[$cnf( $equal(s(elem_41),elem_38) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
elem_38 = elem_40,
inference(resolve,[$cnf( $equal(s(elem_41),elem_40) )],[hyp51,refute_0_642]) ).
cnf(refute_0_644,plain,
$false,
inference(resolve,[$cnf( $equal(elem_38,elem_40) )],[refute_0_643,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV567-1.013 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 04:59:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.71/6.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.71/6.90
% 6.71/6.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.80/6.96
%------------------------------------------------------------------------------