TSTP Solution File: SWV567-1.015 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 20:39:09 EDT 2022
% Result : Unsatisfiable 11.02s 11.22s
% Output : CNFRefutation 11.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 204
% Syntax : Number of clauses : 705 ( 296 unt; 63 nHn; 672 RR)
% Number of literals : 1262 (1261 equ; 556 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 58 con; 0-3 aty)
% Number of variables : 95 ( 6 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(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(hyp5,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26) ).
cnf(hyp7,hypothesis,
earray_30 = store(earray_27,elem_28,elem_29) ).
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(hyp11,hypothesis,
earray_42 = store(earray_39,elem_40,elem_41) ).
cnf(hyp12,hypothesis,
earray_45 = store(earray_42,elem_43,elem_44) ).
cnf(hyp18,hypothesis,
earray_58 = store(earray_56,elem_25,elem_57) ).
cnf(hyp20,hypothesis,
earray_60 = store(earray_58,elem_22,elem_59) ).
cnf(hyp21,hypothesis,
earray_62 = store(earray_60,elem_19,elem_61) ).
cnf(hyp22,hypothesis,
earray_64 = store(earray_62,elem_16,elem_63) ).
cnf(hyp23,hypothesis,
earray_66 = store(earray_64,elem_13,elem_65) ).
cnf(hyp24,hypothesis,
earray_68 = store(earray_66,elem_10,elem_67) ).
cnf(hyp25,hypothesis,
earray_70 = store(earray_68,elem_7,elem_69) ).
cnf(hyp26,hypothesis,
earray_72 = store(earray_70,elem_4,elem_71) ).
cnf(hyp27,hypothesis,
earray_74 = store(earray_72,elem_0,elem_73) ).
cnf(hyp28,hypothesis,
earray_76 = store(earray_74,i,elem_75) ).
cnf(hyp30,hypothesis,
elem_0 = s(i) ).
cnf(hyp32,hypothesis,
elem_10 = s(elem_7) ).
cnf(hyp34,hypothesis,
elem_13 = s(elem_10) ).
cnf(hyp36,hypothesis,
elem_16 = s(elem_13) ).
cnf(hyp38,hypothesis,
elem_19 = s(elem_16) ).
cnf(hyp41,hypothesis,
elem_22 = s(elem_19) ).
cnf(hyp43,hypothesis,
elem_25 = s(elem_22) ).
cnf(hyp45,hypothesis,
elem_28 = s(elem_25) ).
cnf(hyp46,hypothesis,
elem_29 = s(elem_26) ).
cnf(hyp47,hypothesis,
elem_31 = s(elem_28) ).
cnf(hyp48,hypothesis,
elem_32 = s(elem_29) ).
cnf(hyp49,hypothesis,
elem_34 = s(elem_31) ).
cnf(hyp50,hypothesis,
elem_35 = s(elem_32) ).
cnf(hyp51,hypothesis,
elem_37 = s(elem_34) ).
cnf(hyp52,hypothesis,
elem_38 = s(elem_35) ).
cnf(hyp53,hypothesis,
elem_4 = s(elem_0) ).
cnf(hyp54,hypothesis,
elem_40 = s(elem_37) ).
cnf(hyp55,hypothesis,
elem_41 = s(elem_38) ).
cnf(hyp56,hypothesis,
elem_43 = s(elem_40) ).
cnf(hyp57,hypothesis,
elem_44 = s(elem_41) ).
cnf(hyp59,hypothesis,
s(elem_47) = elem_46 ).
cnf(hyp60,hypothesis,
s(elem_49) = elem_47 ).
cnf(hyp62,hypothesis,
s(elem_51) = elem_49 ).
cnf(hyp63,hypothesis,
s(elem_53) = elem_51 ).
cnf(hyp64,hypothesis,
s(elem_55) = elem_53 ).
cnf(hyp65,hypothesis,
s(elem_57) = elem_55 ).
cnf(hyp72,hypothesis,
elem_7 = s(elem_4) ).
cnf(hyp77,hypothesis,
earray_45 = earray_76 ).
cnf(goal,negated_conjecture,
elem_44 != elem_46 ).
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( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( elem_44 != s(elem_41)
| s(elem_41) = elem_44 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_44)),bind(Y,$fot(s(elem_41)))]]) ).
cnf(refute_0_4,plain,
s(elem_41) = elem_44,
inference(resolve,[$cnf( $equal(elem_44,s(elem_41)) )],[hyp57,refute_0_3]) ).
cnf(refute_0_5,plain,
( elem_41 != s(elem_38)
| s(elem_38) = elem_41 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_41)),bind(Y,$fot(s(elem_38)))]]) ).
cnf(refute_0_6,plain,
s(elem_38) = elem_41,
inference(resolve,[$cnf( $equal(elem_41,s(elem_38)) )],[hyp55,refute_0_5]) ).
cnf(refute_0_7,plain,
( elem_38 != s(elem_35)
| s(elem_35) = elem_38 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_38)),bind(Y,$fot(s(elem_35)))]]) ).
cnf(refute_0_8,plain,
s(elem_35) = elem_38,
inference(resolve,[$cnf( $equal(elem_38,s(elem_35)) )],[hyp52,refute_0_7]) ).
cnf(refute_0_9,plain,
( elem_35 != s(elem_32)
| s(elem_32) = elem_35 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(s(elem_32)))]]) ).
cnf(refute_0_10,plain,
s(elem_32) = elem_35,
inference(resolve,[$cnf( $equal(elem_35,s(elem_32)) )],[hyp50,refute_0_9]) ).
cnf(refute_0_11,plain,
( elem_32 != s(elem_29)
| s(elem_29) = elem_32 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_32)),bind(Y,$fot(s(elem_29)))]]) ).
cnf(refute_0_12,plain,
s(elem_29) = elem_32,
inference(resolve,[$cnf( $equal(elem_32,s(elem_29)) )],[hyp48,refute_0_11]) ).
cnf(refute_0_13,plain,
( elem_29 != s(elem_26)
| s(elem_26) = elem_29 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_29)),bind(Y,$fot(s(elem_26)))]]) ).
cnf(refute_0_14,plain,
s(elem_26) = elem_29,
inference(resolve,[$cnf( $equal(elem_29,s(elem_26)) )],[hyp46,refute_0_13]) ).
cnf(refute_0_15,plain,
( elem_37 = X_72
| select(store(earray_36,elem_37,elem_38),X_72) = select(earray_36,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_36)),bind(E,$fot(elem_38)),bind(I,$fot(elem_37)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_16,plain,
( earray_39 != store(earray_36,elem_37,elem_38)
| store(earray_36,elem_37,elem_38) = earray_39 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_39)),bind(Y,$fot(store(earray_36,elem_37,elem_38)))]]) ).
cnf(refute_0_17,plain,
store(earray_36,elem_37,elem_38) = earray_39,
inference(resolve,[$cnf( $equal(earray_39,store(earray_36,elem_37,elem_38)) )],[hyp10,refute_0_16]) ).
cnf(refute_0_18,plain,
( select(store(earray_36,elem_37,elem_38),X_72) != select(earray_36,X_72)
| store(earray_36,elem_37,elem_38) != earray_39
| select(earray_39,X_72) = select(earray_36,X_72) ),
introduced(tautology,[equality,[$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_19,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( $equal(store(earray_36,elem_37,elem_38),earray_39) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( elem_37 = X_72
| select(earray_39,X_72) = select(earray_36,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_36,elem_37,elem_38),X_72),select(earray_36,X_72)) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( elem_37 = elem_25
| select(earray_39,elem_25) = select(earray_36,elem_25) ),
inference(subst,[],[refute_0_20:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_22,plain,
( elem_40 = X_72
| select(store(earray_39,elem_40,elem_41),X_72) = select(earray_39,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_39)),bind(E,$fot(elem_41)),bind(I,$fot(elem_40)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_23,plain,
( earray_42 != store(earray_39,elem_40,elem_41)
| store(earray_39,elem_40,elem_41) = earray_42 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_42)),bind(Y,$fot(store(earray_39,elem_40,elem_41)))]]) ).
cnf(refute_0_24,plain,
store(earray_39,elem_40,elem_41) = earray_42,
inference(resolve,[$cnf( $equal(earray_42,store(earray_39,elem_40,elem_41)) )],[hyp11,refute_0_23]) ).
cnf(refute_0_25,plain,
( select(store(earray_39,elem_40,elem_41),X_72) != select(earray_39,X_72)
| store(earray_39,elem_40,elem_41) != earray_42
| select(earray_42,X_72) = select(earray_39,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_39,elem_40,elem_41),X_72),select(earray_39,X_72)) ),[0,0],$fot(earray_42)]]) ).
cnf(refute_0_26,plain,
( select(store(earray_39,elem_40,elem_41),X_72) != select(earray_39,X_72)
| select(earray_42,X_72) = select(earray_39,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_39,elem_40,elem_41),earray_42) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( elem_40 = X_72
| select(earray_42,X_72) = select(earray_39,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_39,elem_40,elem_41),X_72),select(earray_39,X_72)) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
( elem_40 = elem_25
| select(earray_42,elem_25) = select(earray_39,elem_25) ),
inference(subst,[],[refute_0_27:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_29,plain,
( elem_43 = X_72
| select(store(earray_42,elem_43,elem_44),X_72) = select(earray_42,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_42)),bind(E,$fot(elem_44)),bind(I,$fot(elem_43)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_30,plain,
( earray_45 != store(earray_42,elem_43,elem_44)
| store(earray_42,elem_43,elem_44) = earray_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_45)),bind(Y,$fot(store(earray_42,elem_43,elem_44)))]]) ).
cnf(refute_0_31,plain,
store(earray_42,elem_43,elem_44) = earray_45,
inference(resolve,[$cnf( $equal(earray_45,store(earray_42,elem_43,elem_44)) )],[hyp12,refute_0_30]) ).
cnf(refute_0_32,plain,
( select(store(earray_42,elem_43,elem_44),X_72) != select(earray_42,X_72)
| store(earray_42,elem_43,elem_44) != earray_45
| select(earray_45,X_72) = select(earray_42,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_42,elem_43,elem_44),X_72),select(earray_42,X_72)) ),[0,0],$fot(earray_45)]]) ).
cnf(refute_0_33,plain,
( select(store(earray_42,elem_43,elem_44),X_72) != select(earray_42,X_72)
| select(earray_45,X_72) = select(earray_42,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_42,elem_43,elem_44),earray_45) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( elem_43 = X_72
| select(earray_45,X_72) = select(earray_42,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_42,elem_43,elem_44),X_72),select(earray_42,X_72)) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
( elem_43 = elem_25
| select(earray_45,elem_25) = select(earray_42,elem_25) ),
inference(subst,[],[refute_0_34:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_36,plain,
( i = X_72
| select(store(earray_74,i,elem_75),X_72) = select(earray_74,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_74)),bind(E,$fot(elem_75)),bind(I,$fot(i)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_37,plain,
( earray_45 != earray_76
| earray_76 = earray_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_45)),bind(Y,$fot(earray_76))]]) ).
cnf(refute_0_38,plain,
earray_76 = earray_45,
inference(resolve,[$cnf( $equal(earray_45,earray_76) )],[hyp77,refute_0_37]) ).
cnf(refute_0_39,plain,
( earray_76 != earray_45
| earray_76 != store(earray_74,i,elem_75)
| earray_45 = store(earray_74,i,elem_75) ),
introduced(tautology,[equality,[$cnf( $equal(earray_76,store(earray_74,i,elem_75)) ),[0],$fot(earray_45)]]) ).
cnf(refute_0_40,plain,
( earray_76 != store(earray_74,i,elem_75)
| earray_45 = store(earray_74,i,elem_75) ),
inference(resolve,[$cnf( $equal(earray_76,earray_45) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
earray_45 = store(earray_74,i,elem_75),
inference(resolve,[$cnf( $equal(earray_76,store(earray_74,i,elem_75)) )],[hyp28,refute_0_40]) ).
cnf(refute_0_42,plain,
( earray_45 != store(earray_74,i,elem_75)
| store(earray_74,i,elem_75) = earray_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_45)),bind(Y,$fot(store(earray_74,i,elem_75)))]]) ).
cnf(refute_0_43,plain,
store(earray_74,i,elem_75) = earray_45,
inference(resolve,[$cnf( $equal(earray_45,store(earray_74,i,elem_75)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( select(store(earray_74,i,elem_75),X_72) != select(earray_74,X_72)
| store(earray_74,i,elem_75) != earray_45
| select(earray_45,X_72) = select(earray_74,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_74,i,elem_75),X_72),select(earray_74,X_72)) ),[0,0],$fot(earray_45)]]) ).
cnf(refute_0_45,plain,
( select(store(earray_74,i,elem_75),X_72) != select(earray_74,X_72)
| select(earray_45,X_72) = select(earray_74,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_74,i,elem_75),earray_45) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( i = X_72
| select(earray_45,X_72) = select(earray_74,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_74,i,elem_75),X_72),select(earray_74,X_72)) )],[refute_0_36,refute_0_45]) ).
cnf(refute_0_47,plain,
( i = elem_25
| select(earray_45,elem_25) = select(earray_74,elem_25) ),
inference(subst,[],[refute_0_46:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_48,plain,
( elem_0 = X_72
| select(store(earray_72,elem_0,elem_73),X_72) = select(earray_72,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_72)),bind(E,$fot(elem_73)),bind(I,$fot(elem_0)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_49,plain,
( earray_74 != store(earray_72,elem_0,elem_73)
| store(earray_72,elem_0,elem_73) = earray_74 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_74)),bind(Y,$fot(store(earray_72,elem_0,elem_73)))]]) ).
cnf(refute_0_50,plain,
store(earray_72,elem_0,elem_73) = earray_74,
inference(resolve,[$cnf( $equal(earray_74,store(earray_72,elem_0,elem_73)) )],[hyp27,refute_0_49]) ).
cnf(refute_0_51,plain,
( select(store(earray_72,elem_0,elem_73),X_72) != select(earray_72,X_72)
| store(earray_72,elem_0,elem_73) != earray_74
| select(earray_74,X_72) = select(earray_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_72,elem_0,elem_73),X_72),select(earray_72,X_72)) ),[0,0],$fot(earray_74)]]) ).
cnf(refute_0_52,plain,
( select(store(earray_72,elem_0,elem_73),X_72) != select(earray_72,X_72)
| select(earray_74,X_72) = select(earray_72,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_72,elem_0,elem_73),earray_74) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( elem_0 = X_72
| select(earray_74,X_72) = select(earray_72,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_72,elem_0,elem_73),X_72),select(earray_72,X_72)) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
( elem_0 = elem_25
| select(earray_74,elem_25) = select(earray_72,elem_25) ),
inference(subst,[],[refute_0_53:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_55,plain,
( elem_4 = X_72
| select(store(earray_70,elem_4,elem_71),X_72) = select(earray_70,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_70)),bind(E,$fot(elem_71)),bind(I,$fot(elem_4)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_56,plain,
( earray_72 != store(earray_70,elem_4,elem_71)
| store(earray_70,elem_4,elem_71) = earray_72 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_72)),bind(Y,$fot(store(earray_70,elem_4,elem_71)))]]) ).
cnf(refute_0_57,plain,
store(earray_70,elem_4,elem_71) = earray_72,
inference(resolve,[$cnf( $equal(earray_72,store(earray_70,elem_4,elem_71)) )],[hyp26,refute_0_56]) ).
cnf(refute_0_58,plain,
( select(store(earray_70,elem_4,elem_71),X_72) != select(earray_70,X_72)
| store(earray_70,elem_4,elem_71) != earray_72
| select(earray_72,X_72) = select(earray_70,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_70,elem_4,elem_71),X_72),select(earray_70,X_72)) ),[0,0],$fot(earray_72)]]) ).
cnf(refute_0_59,plain,
( select(store(earray_70,elem_4,elem_71),X_72) != select(earray_70,X_72)
| select(earray_72,X_72) = select(earray_70,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_70,elem_4,elem_71),earray_72) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( elem_4 = X_72
| select(earray_72,X_72) = select(earray_70,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_70,elem_4,elem_71),X_72),select(earray_70,X_72)) )],[refute_0_55,refute_0_59]) ).
cnf(refute_0_61,plain,
( elem_4 = elem_25
| select(earray_72,elem_25) = select(earray_70,elem_25) ),
inference(subst,[],[refute_0_60:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_62,plain,
( elem_7 = X_72
| select(store(earray_68,elem_7,elem_69),X_72) = select(earray_68,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_68)),bind(E,$fot(elem_69)),bind(I,$fot(elem_7)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_63,plain,
( earray_70 != store(earray_68,elem_7,elem_69)
| store(earray_68,elem_7,elem_69) = earray_70 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_70)),bind(Y,$fot(store(earray_68,elem_7,elem_69)))]]) ).
cnf(refute_0_64,plain,
store(earray_68,elem_7,elem_69) = earray_70,
inference(resolve,[$cnf( $equal(earray_70,store(earray_68,elem_7,elem_69)) )],[hyp25,refute_0_63]) ).
cnf(refute_0_65,plain,
( select(store(earray_68,elem_7,elem_69),X_72) != select(earray_68,X_72)
| store(earray_68,elem_7,elem_69) != earray_70
| select(earray_70,X_72) = select(earray_68,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_68,elem_7,elem_69),X_72),select(earray_68,X_72)) ),[0,0],$fot(earray_70)]]) ).
cnf(refute_0_66,plain,
( select(store(earray_68,elem_7,elem_69),X_72) != select(earray_68,X_72)
| select(earray_70,X_72) = select(earray_68,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_68,elem_7,elem_69),earray_70) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( elem_7 = X_72
| select(earray_70,X_72) = select(earray_68,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_68,elem_7,elem_69),X_72),select(earray_68,X_72)) )],[refute_0_62,refute_0_66]) ).
cnf(refute_0_68,plain,
( elem_7 = elem_25
| select(earray_70,elem_25) = select(earray_68,elem_25) ),
inference(subst,[],[refute_0_67:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_69,plain,
( elem_10 = X_72
| select(store(earray_66,elem_10,elem_67),X_72) = select(earray_66,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_66)),bind(E,$fot(elem_67)),bind(I,$fot(elem_10)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_70,plain,
( earray_68 != store(earray_66,elem_10,elem_67)
| store(earray_66,elem_10,elem_67) = earray_68 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_68)),bind(Y,$fot(store(earray_66,elem_10,elem_67)))]]) ).
cnf(refute_0_71,plain,
store(earray_66,elem_10,elem_67) = earray_68,
inference(resolve,[$cnf( $equal(earray_68,store(earray_66,elem_10,elem_67)) )],[hyp24,refute_0_70]) ).
cnf(refute_0_72,plain,
( select(store(earray_66,elem_10,elem_67),X_72) != select(earray_66,X_72)
| store(earray_66,elem_10,elem_67) != earray_68
| select(earray_68,X_72) = select(earray_66,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_66,elem_10,elem_67),X_72),select(earray_66,X_72)) ),[0,0],$fot(earray_68)]]) ).
cnf(refute_0_73,plain,
( select(store(earray_66,elem_10,elem_67),X_72) != select(earray_66,X_72)
| select(earray_68,X_72) = select(earray_66,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_66,elem_10,elem_67),earray_68) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( elem_10 = X_72
| select(earray_68,X_72) = select(earray_66,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_66,elem_10,elem_67),X_72),select(earray_66,X_72)) )],[refute_0_69,refute_0_73]) ).
cnf(refute_0_75,plain,
( elem_10 = elem_25
| select(earray_68,elem_25) = select(earray_66,elem_25) ),
inference(subst,[],[refute_0_74:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_76,plain,
( elem_13 = X_72
| select(store(earray_64,elem_13,elem_65),X_72) = select(earray_64,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_64)),bind(E,$fot(elem_65)),bind(I,$fot(elem_13)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_77,plain,
( earray_66 != store(earray_64,elem_13,elem_65)
| store(earray_64,elem_13,elem_65) = earray_66 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_66)),bind(Y,$fot(store(earray_64,elem_13,elem_65)))]]) ).
cnf(refute_0_78,plain,
store(earray_64,elem_13,elem_65) = earray_66,
inference(resolve,[$cnf( $equal(earray_66,store(earray_64,elem_13,elem_65)) )],[hyp23,refute_0_77]) ).
cnf(refute_0_79,plain,
( select(store(earray_64,elem_13,elem_65),X_72) != select(earray_64,X_72)
| store(earray_64,elem_13,elem_65) != earray_66
| select(earray_66,X_72) = select(earray_64,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_64,elem_13,elem_65),X_72),select(earray_64,X_72)) ),[0,0],$fot(earray_66)]]) ).
cnf(refute_0_80,plain,
( select(store(earray_64,elem_13,elem_65),X_72) != select(earray_64,X_72)
| select(earray_66,X_72) = select(earray_64,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_64,elem_13,elem_65),earray_66) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( elem_13 = X_72
| select(earray_66,X_72) = select(earray_64,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_64,elem_13,elem_65),X_72),select(earray_64,X_72)) )],[refute_0_76,refute_0_80]) ).
cnf(refute_0_82,plain,
( elem_13 = elem_25
| select(earray_66,elem_25) = select(earray_64,elem_25) ),
inference(subst,[],[refute_0_81:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_83,plain,
( elem_16 = X_72
| select(store(earray_62,elem_16,elem_63),X_72) = select(earray_62,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_62)),bind(E,$fot(elem_63)),bind(I,$fot(elem_16)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_84,plain,
( earray_64 != store(earray_62,elem_16,elem_63)
| store(earray_62,elem_16,elem_63) = earray_64 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_64)),bind(Y,$fot(store(earray_62,elem_16,elem_63)))]]) ).
cnf(refute_0_85,plain,
store(earray_62,elem_16,elem_63) = earray_64,
inference(resolve,[$cnf( $equal(earray_64,store(earray_62,elem_16,elem_63)) )],[hyp22,refute_0_84]) ).
cnf(refute_0_86,plain,
( select(store(earray_62,elem_16,elem_63),X_72) != select(earray_62,X_72)
| store(earray_62,elem_16,elem_63) != earray_64
| select(earray_64,X_72) = select(earray_62,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_62,elem_16,elem_63),X_72),select(earray_62,X_72)) ),[0,0],$fot(earray_64)]]) ).
cnf(refute_0_87,plain,
( select(store(earray_62,elem_16,elem_63),X_72) != select(earray_62,X_72)
| select(earray_64,X_72) = select(earray_62,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_62,elem_16,elem_63),earray_64) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( elem_16 = X_72
| select(earray_64,X_72) = select(earray_62,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_62,elem_16,elem_63),X_72),select(earray_62,X_72)) )],[refute_0_83,refute_0_87]) ).
cnf(refute_0_89,plain,
( elem_16 = elem_25
| select(earray_64,elem_25) = select(earray_62,elem_25) ),
inference(subst,[],[refute_0_88:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_90,plain,
( I = elem_25
| select(store(earray_60,I,E),elem_25) = select(earray_60,elem_25) ),
inference(subst,[],[a2:[bind(A,$fot(earray_60)),bind(J,$fot(elem_25))]]) ).
cnf(refute_0_91,plain,
( elem_22 = X_72
| select(store(earray_58,elem_22,elem_59),X_72) = select(earray_58,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_58)),bind(E,$fot(elem_59)),bind(I,$fot(elem_22)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_92,plain,
( earray_60 != store(earray_58,elem_22,elem_59)
| store(earray_58,elem_22,elem_59) = earray_60 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_60)),bind(Y,$fot(store(earray_58,elem_22,elem_59)))]]) ).
cnf(refute_0_93,plain,
store(earray_58,elem_22,elem_59) = earray_60,
inference(resolve,[$cnf( $equal(earray_60,store(earray_58,elem_22,elem_59)) )],[hyp20,refute_0_92]) ).
cnf(refute_0_94,plain,
( select(store(earray_58,elem_22,elem_59),X_72) != select(earray_58,X_72)
| store(earray_58,elem_22,elem_59) != earray_60
| select(earray_60,X_72) = select(earray_58,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_58,elem_22,elem_59),X_72),select(earray_58,X_72)) ),[0,0],$fot(earray_60)]]) ).
cnf(refute_0_95,plain,
( select(store(earray_58,elem_22,elem_59),X_72) != select(earray_58,X_72)
| select(earray_60,X_72) = select(earray_58,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_58,elem_22,elem_59),earray_60) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( elem_22 = X_72
| select(earray_60,X_72) = select(earray_58,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_58,elem_22,elem_59),X_72),select(earray_58,X_72)) )],[refute_0_91,refute_0_95]) ).
cnf(refute_0_97,plain,
( elem_22 = elem_25
| select(earray_60,elem_25) = select(earray_58,elem_25) ),
inference(subst,[],[refute_0_96:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_98,plain,
select(store(earray_56,elem_25,elem_57),elem_25) = elem_57,
inference(subst,[],[a1:[bind(A,$fot(earray_56)),bind(E,$fot(elem_57)),bind(I,$fot(elem_25))]]) ).
cnf(refute_0_99,plain,
( earray_58 != store(earray_56,elem_25,elem_57)
| store(earray_56,elem_25,elem_57) = earray_58 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_58)),bind(Y,$fot(store(earray_56,elem_25,elem_57)))]]) ).
cnf(refute_0_100,plain,
store(earray_56,elem_25,elem_57) = earray_58,
inference(resolve,[$cnf( $equal(earray_58,store(earray_56,elem_25,elem_57)) )],[hyp18,refute_0_99]) ).
cnf(refute_0_101,plain,
( select(store(earray_56,elem_25,elem_57),elem_25) != elem_57
| store(earray_56,elem_25,elem_57) != earray_58
| select(earray_58,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_56,elem_25,elem_57),elem_25),elem_57) ),[0,0],$fot(earray_58)]]) ).
cnf(refute_0_102,plain,
( select(store(earray_56,elem_25,elem_57),elem_25) != elem_57
| select(earray_58,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(store(earray_56,elem_25,elem_57),earray_58) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
select(earray_58,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(select(store(earray_56,elem_25,elem_57),elem_25),elem_57) )],[refute_0_98,refute_0_102]) ).
cnf(refute_0_104,plain,
( select(earray_58,elem_25) != elem_57
| select(earray_60,elem_25) != select(earray_58,elem_25)
| select(earray_60,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_60,elem_25),select(earray_58,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_105,plain,
( select(earray_60,elem_25) != select(earray_58,elem_25)
| select(earray_60,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_58,elem_25),elem_57) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( elem_22 = elem_25
| select(earray_60,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_60,elem_25),select(earray_58,elem_25)) )],[refute_0_97,refute_0_105]) ).
cnf(refute_0_107,plain,
s(elem_22) != elem_22,
inference(subst,[],[as1:[bind(X,$fot(elem_22))]]) ).
cnf(refute_0_108,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_109,plain,
s(elem_22) = elem_25,
inference(resolve,[$cnf( $equal(elem_25,s(elem_22)) )],[hyp43,refute_0_108]) ).
cnf(refute_0_110,plain,
( elem_25 != elem_22
| s(elem_22) != elem_25
| s(elem_22) = elem_22 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_22),elem_25) ),[1],$fot(elem_22)]]) ).
cnf(refute_0_111,plain,
( elem_25 != elem_22
| s(elem_22) = elem_22 ),
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
elem_25 != elem_22,
inference(resolve,[$cnf( $equal(s(elem_22),elem_22) )],[refute_0_111,refute_0_107]) ).
cnf(refute_0_113,plain,
( elem_22 != elem_25
| elem_25 = elem_22 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_22)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_114,plain,
elem_22 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_22) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
select(earray_60,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_22,elem_25) )],[refute_0_106,refute_0_114]) ).
cnf(refute_0_116,plain,
( select(earray_60,elem_25) != elem_57
| select(store(earray_60,I,E),elem_25) != select(earray_60,elem_25)
| select(store(earray_60,I,E),elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_60,I,E),elem_25),select(earray_60,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_117,plain,
( select(store(earray_60,I,E),elem_25) != select(earray_60,elem_25)
| select(store(earray_60,I,E),elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_60,elem_25),elem_57) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( I = elem_25
| select(store(earray_60,I,E),elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(store(earray_60,I,E),elem_25),select(earray_60,elem_25)) )],[refute_0_90,refute_0_117]) ).
cnf(refute_0_119,plain,
( elem_19 = elem_25
| select(store(earray_60,elem_19,elem_61),elem_25) = elem_57 ),
inference(subst,[],[refute_0_118:[bind(E,$fot(elem_61)),bind(I,$fot(elem_19))]]) ).
cnf(refute_0_120,plain,
( earray_62 != store(earray_60,elem_19,elem_61)
| store(earray_60,elem_19,elem_61) = earray_62 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_62)),bind(Y,$fot(store(earray_60,elem_19,elem_61)))]]) ).
cnf(refute_0_121,plain,
store(earray_60,elem_19,elem_61) = earray_62,
inference(resolve,[$cnf( $equal(earray_62,store(earray_60,elem_19,elem_61)) )],[hyp21,refute_0_120]) ).
cnf(refute_0_122,plain,
( select(store(earray_60,elem_19,elem_61),elem_25) != elem_57
| store(earray_60,elem_19,elem_61) != earray_62
| select(earray_62,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_60,elem_19,elem_61),elem_25),elem_57) ),[0,0],$fot(earray_62)]]) ).
cnf(refute_0_123,plain,
( select(store(earray_60,elem_19,elem_61),elem_25) != elem_57
| select(earray_62,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(store(earray_60,elem_19,elem_61),earray_62) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( elem_19 = elem_25
| select(earray_62,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(store(earray_60,elem_19,elem_61),elem_25),elem_57) )],[refute_0_119,refute_0_123]) ).
cnf(refute_0_125,plain,
s(s(elem_19)) != elem_19,
inference(subst,[],[as2:[bind(X,$fot(elem_19))]]) ).
cnf(refute_0_126,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_127,plain,
s(elem_19) = elem_22,
inference(resolve,[$cnf( $equal(elem_22,s(elem_19)) )],[hyp41,refute_0_126]) ).
cnf(refute_0_128,plain,
( s(elem_19) != elem_22
| s(elem_22) != elem_19
| s(s(elem_19)) = elem_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(elem_19)),elem_19) ),[0,0],$fot(elem_22)]]) ).
cnf(refute_0_129,plain,
( s(elem_22) != elem_19
| s(s(elem_19)) = elem_19 ),
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
s(elem_22) != elem_19,
inference(resolve,[$cnf( $equal(s(s(elem_19)),elem_19) )],[refute_0_129,refute_0_125]) ).
cnf(refute_0_131,plain,
( elem_25 != elem_19
| s(elem_22) != elem_25
| s(elem_22) = elem_19 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_22),elem_25) ),[1],$fot(elem_19)]]) ).
cnf(refute_0_132,plain,
( elem_25 != elem_19
| s(elem_22) = elem_19 ),
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_131]) ).
cnf(refute_0_133,plain,
elem_25 != elem_19,
inference(resolve,[$cnf( $equal(s(elem_22),elem_19) )],[refute_0_132,refute_0_130]) ).
cnf(refute_0_134,plain,
( elem_19 != elem_25
| elem_25 = elem_19 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_19)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_135,plain,
elem_19 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_19) )],[refute_0_134,refute_0_133]) ).
cnf(refute_0_136,plain,
select(earray_62,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_19,elem_25) )],[refute_0_124,refute_0_135]) ).
cnf(refute_0_137,plain,
( select(earray_62,elem_25) != elem_57
| select(earray_64,elem_25) != select(earray_62,elem_25)
| select(earray_64,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_64,elem_25),select(earray_62,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_138,plain,
( select(earray_64,elem_25) != select(earray_62,elem_25)
| select(earray_64,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_62,elem_25),elem_57) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( elem_16 = elem_25
| select(earray_64,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_64,elem_25),select(earray_62,elem_25)) )],[refute_0_89,refute_0_138]) ).
cnf(refute_0_140,plain,
s(s(s(elem_16))) != elem_16,
inference(subst,[],[as3:[bind(X,$fot(elem_16))]]) ).
cnf(refute_0_141,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_142,plain,
s(elem_16) = elem_19,
inference(resolve,[$cnf( $equal(elem_19,s(elem_16)) )],[hyp38,refute_0_141]) ).
cnf(refute_0_143,plain,
( s(elem_16) != elem_19
| s(s(elem_19)) != elem_16
| s(s(s(elem_16))) = elem_16 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(elem_16))),elem_16) ),[0,0,0],$fot(elem_19)]]) ).
cnf(refute_0_144,plain,
( s(s(elem_19)) != elem_16
| s(s(s(elem_16))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
s(s(elem_19)) != elem_16,
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_16) )],[refute_0_144,refute_0_140]) ).
cnf(refute_0_146,plain,
s(s(elem_19)) = s(s(elem_19)),
introduced(tautology,[refl,[$fot(s(s(elem_19)))]]) ).
cnf(refute_0_147,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_148,plain,
( s(elem_19) != elem_22
| s(s(elem_19)) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(elem_19)),s(s(elem_19))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
s(s(elem_19)) = s(elem_22),
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_148]) ).
cnf(refute_0_150,plain,
( Y != X0
| Y != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_151,plain,
( X0 != Y
| Y != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_2,refute_0_150]) ).
cnf(refute_0_152,plain,
( s(elem_22) != elem_25
| s(s(elem_19)) != s(elem_22)
| s(s(elem_19)) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_19)))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_153,plain,
( s(elem_22) != elem_25
| s(s(elem_19)) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(elem_19)),s(elem_22)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
s(s(elem_19)) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_153]) ).
cnf(refute_0_155,plain,
( elem_25 != elem_16
| s(s(elem_19)) != elem_25
| s(s(elem_19)) = elem_16 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_19)),elem_25) ),[1],$fot(elem_16)]]) ).
cnf(refute_0_156,plain,
( elem_25 != elem_16
| s(s(elem_19)) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(elem_19)),elem_25) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
elem_25 != elem_16,
inference(resolve,[$cnf( $equal(s(s(elem_19)),elem_16) )],[refute_0_156,refute_0_145]) ).
cnf(refute_0_158,plain,
( elem_16 != elem_25
| elem_25 = elem_16 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_16)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_159,plain,
elem_16 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_16) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
select(earray_64,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_16,elem_25) )],[refute_0_139,refute_0_159]) ).
cnf(refute_0_161,plain,
( select(earray_64,elem_25) != elem_57
| select(earray_66,elem_25) != select(earray_64,elem_25)
| select(earray_66,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_66,elem_25),select(earray_64,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_162,plain,
( select(earray_66,elem_25) != select(earray_64,elem_25)
| select(earray_66,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_64,elem_25),elem_57) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( elem_13 = elem_25
| select(earray_66,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_66,elem_25),select(earray_64,elem_25)) )],[refute_0_82,refute_0_162]) ).
cnf(refute_0_164,plain,
s(s(s(s(elem_13)))) != elem_13,
inference(subst,[],[as4:[bind(X,$fot(elem_13))]]) ).
cnf(refute_0_165,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_166,plain,
s(elem_13) = elem_16,
inference(resolve,[$cnf( $equal(elem_16,s(elem_13)) )],[hyp36,refute_0_165]) ).
cnf(refute_0_167,plain,
( s(elem_13) != elem_16
| s(s(s(elem_16))) != elem_13
| s(s(s(s(elem_13)))) = elem_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(elem_13)))),elem_13) ),[0,0,0,0],$fot(elem_16)]]) ).
cnf(refute_0_168,plain,
( s(s(s(elem_16))) != elem_13
| s(s(s(s(elem_13)))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
s(s(s(elem_16))) != elem_13,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),elem_13) )],[refute_0_168,refute_0_164]) ).
cnf(refute_0_170,plain,
s(s(elem_16)) = s(s(elem_16)),
introduced(tautology,[refl,[$fot(s(s(elem_16)))]]) ).
cnf(refute_0_171,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_172,plain,
( s(elem_16) != elem_19
| s(s(elem_16)) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(elem_16)),s(s(elem_16))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
s(s(elem_16)) = s(elem_19),
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_172]) ).
cnf(refute_0_174,plain,
( s(elem_19) != elem_22
| s(s(elem_16)) != s(elem_19)
| s(s(elem_16)) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_16)))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_175,plain,
( s(elem_19) != elem_22
| s(s(elem_16)) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(elem_16)),s(elem_19)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
s(s(elem_16)) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_175]) ).
cnf(refute_0_177,plain,
s(s(s(elem_16))) = s(s(s(elem_16))),
introduced(tautology,[refl,[$fot(s(s(s(elem_16))))]]) ).
cnf(refute_0_178,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_179,plain,
( s(s(elem_16)) != elem_22
| s(s(s(elem_16))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(s(s(elem_16)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
s(s(s(elem_16))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(elem_16)),elem_22) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( s(elem_22) != elem_25
| s(s(s(elem_16))) != s(elem_22)
| s(s(s(elem_16))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_16))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_182,plain,
( s(elem_22) != elem_25
| s(s(s(elem_16))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(elem_22)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
s(s(s(elem_16))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_182]) ).
cnf(refute_0_184,plain,
( elem_25 != elem_13
| s(s(s(elem_16))) != elem_25
| s(s(s(elem_16))) = elem_13 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_16))),elem_25) ),[1],$fot(elem_13)]]) ).
cnf(refute_0_185,plain,
( elem_25 != elem_13
| s(s(s(elem_16))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_25) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
elem_25 != elem_13,
inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_13) )],[refute_0_185,refute_0_169]) ).
cnf(refute_0_187,plain,
( elem_13 != elem_25
| elem_25 = elem_13 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_13)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_188,plain,
elem_13 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_13) )],[refute_0_187,refute_0_186]) ).
cnf(refute_0_189,plain,
select(earray_66,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_13,elem_25) )],[refute_0_163,refute_0_188]) ).
cnf(refute_0_190,plain,
( select(earray_66,elem_25) != elem_57
| select(earray_68,elem_25) != select(earray_66,elem_25)
| select(earray_68,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_68,elem_25),select(earray_66,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_191,plain,
( select(earray_68,elem_25) != select(earray_66,elem_25)
| select(earray_68,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_66,elem_25),elem_57) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( elem_10 = elem_25
| select(earray_68,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_68,elem_25),select(earray_66,elem_25)) )],[refute_0_75,refute_0_191]) ).
cnf(refute_0_193,plain,
s(s(s(s(s(elem_10))))) != elem_10,
inference(subst,[],[as5:[bind(X,$fot(elem_10))]]) ).
cnf(refute_0_194,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_195,plain,
s(elem_10) = elem_13,
inference(resolve,[$cnf( $equal(elem_13,s(elem_10)) )],[hyp34,refute_0_194]) ).
cnf(refute_0_196,plain,
( s(elem_10) != elem_13
| s(s(s(s(elem_13)))) != elem_10
| s(s(s(s(s(elem_10))))) = elem_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(elem_10))))),elem_10) ),[0,0,0,0,0],$fot(elem_13)]]) ).
cnf(refute_0_197,plain,
( s(s(s(s(elem_13)))) != elem_10
| s(s(s(s(s(elem_10))))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
s(s(s(s(elem_13)))) != elem_10,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),elem_10) )],[refute_0_197,refute_0_193]) ).
cnf(refute_0_199,plain,
s(s(elem_13)) = s(s(elem_13)),
introduced(tautology,[refl,[$fot(s(s(elem_13)))]]) ).
cnf(refute_0_200,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_201,plain,
( s(elem_13) != elem_16
| s(s(elem_13)) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(elem_13)),s(s(elem_13))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
s(s(elem_13)) = s(elem_16),
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_201]) ).
cnf(refute_0_203,plain,
( s(elem_16) != elem_19
| s(s(elem_13)) != s(elem_16)
| s(s(elem_13)) = elem_19 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_13)))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_204,plain,
( s(elem_16) != elem_19
| s(s(elem_13)) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(elem_13)),s(elem_16)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
s(s(elem_13)) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_204]) ).
cnf(refute_0_206,plain,
s(s(s(elem_13))) = s(s(s(elem_13))),
introduced(tautology,[refl,[$fot(s(s(s(elem_13))))]]) ).
cnf(refute_0_207,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_208,plain,
( s(s(elem_13)) != elem_19
| s(s(s(elem_13))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),s(s(s(elem_13)))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
s(s(s(elem_13))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(elem_13)),elem_19) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( s(elem_19) != elem_22
| s(s(s(elem_13))) != s(elem_19)
| s(s(s(elem_13))) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_13))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_211,plain,
( s(elem_19) != elem_22
| s(s(s(elem_13))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),s(elem_19)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
s(s(s(elem_13))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_211]) ).
cnf(refute_0_213,plain,
s(s(s(s(elem_13)))) = s(s(s(s(elem_13)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_13)))))]]) ).
cnf(refute_0_214,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_215,plain,
( s(s(s(elem_13))) != elem_22
| s(s(s(s(elem_13)))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),s(s(s(s(elem_13))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
s(s(s(s(elem_13)))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(elem_13))),elem_22) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( s(elem_22) != elem_25
| s(s(s(s(elem_13)))) != s(elem_22)
| s(s(s(s(elem_13)))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_13)))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_218,plain,
( s(elem_22) != elem_25
| s(s(s(s(elem_13)))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),s(elem_22)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
s(s(s(s(elem_13)))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_218]) ).
cnf(refute_0_220,plain,
( elem_25 != elem_10
| s(s(s(s(elem_13)))) != elem_25
| s(s(s(s(elem_13)))) = elem_10 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_13)))),elem_25) ),[1],$fot(elem_10)]]) ).
cnf(refute_0_221,plain,
( elem_25 != elem_10
| s(s(s(s(elem_13)))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),elem_25) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
elem_25 != elem_10,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),elem_10) )],[refute_0_221,refute_0_198]) ).
cnf(refute_0_223,plain,
( elem_10 != elem_25
| elem_25 = elem_10 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_10)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_224,plain,
elem_10 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_10) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
select(earray_68,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_10,elem_25) )],[refute_0_192,refute_0_224]) ).
cnf(refute_0_226,plain,
( select(earray_68,elem_25) != elem_57
| select(earray_70,elem_25) != select(earray_68,elem_25)
| select(earray_70,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_70,elem_25),select(earray_68,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_227,plain,
( select(earray_70,elem_25) != select(earray_68,elem_25)
| select(earray_70,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_68,elem_25),elem_57) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( elem_7 = elem_25
| select(earray_70,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_70,elem_25),select(earray_68,elem_25)) )],[refute_0_68,refute_0_227]) ).
cnf(refute_0_229,plain,
s(s(s(s(s(s(elem_7)))))) != elem_7,
inference(subst,[],[as6:[bind(X,$fot(elem_7))]]) ).
cnf(refute_0_230,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_231,plain,
s(elem_7) = elem_10,
inference(resolve,[$cnf( $equal(elem_10,s(elem_7)) )],[hyp32,refute_0_230]) ).
cnf(refute_0_232,plain,
( s(elem_7) != elem_10
| s(s(s(s(s(elem_10))))) != elem_7
| s(s(s(s(s(s(elem_7)))))) = elem_7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(elem_7)))))),elem_7) ),[0,0,0,0,0,0],$fot(elem_10)]]) ).
cnf(refute_0_233,plain,
( s(s(s(s(s(elem_10))))) != elem_7
| s(s(s(s(s(s(elem_7)))))) = elem_7 ),
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
s(s(s(s(s(elem_10))))) != elem_7,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),elem_7) )],[refute_0_233,refute_0_229]) ).
cnf(refute_0_235,plain,
s(s(elem_10)) = s(s(elem_10)),
introduced(tautology,[refl,[$fot(s(s(elem_10)))]]) ).
cnf(refute_0_236,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_237,plain,
( s(elem_10) != elem_13
| s(s(elem_10)) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(elem_10)),s(s(elem_10))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
s(s(elem_10)) = s(elem_13),
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_195,refute_0_237]) ).
cnf(refute_0_239,plain,
( s(elem_13) != elem_16
| s(s(elem_10)) != s(elem_13)
| s(s(elem_10)) = elem_16 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_10)))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_240,plain,
( s(elem_13) != elem_16
| s(s(elem_10)) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(elem_10)),s(elem_13)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
s(s(elem_10)) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_240]) ).
cnf(refute_0_242,plain,
s(s(s(elem_10))) = s(s(s(elem_10))),
introduced(tautology,[refl,[$fot(s(s(s(elem_10))))]]) ).
cnf(refute_0_243,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_244,plain,
( s(s(elem_10)) != elem_16
| s(s(s(elem_10))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),s(s(s(elem_10)))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
s(s(s(elem_10))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(elem_10)),elem_16) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( s(elem_16) != elem_19
| s(s(s(elem_10))) != s(elem_16)
| s(s(s(elem_10))) = elem_19 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_10))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_247,plain,
( s(elem_16) != elem_19
| s(s(s(elem_10))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),s(elem_16)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
s(s(s(elem_10))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_247]) ).
cnf(refute_0_249,plain,
s(s(s(s(elem_10)))) = s(s(s(s(elem_10)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_10)))))]]) ).
cnf(refute_0_250,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_251,plain,
( s(s(s(elem_10))) != elem_19
| s(s(s(s(elem_10)))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),s(s(s(s(elem_10))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
s(s(s(s(elem_10)))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(elem_10))),elem_19) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( s(elem_19) != elem_22
| s(s(s(s(elem_10)))) != s(elem_19)
| s(s(s(s(elem_10)))) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_10)))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_254,plain,
( s(elem_19) != elem_22
| s(s(s(s(elem_10)))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),s(elem_19)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
s(s(s(s(elem_10)))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_254]) ).
cnf(refute_0_256,plain,
s(s(s(s(s(elem_10))))) = s(s(s(s(s(elem_10))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_10))))))]]) ).
cnf(refute_0_257,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_258,plain,
( s(s(s(s(elem_10)))) != elem_22
| s(s(s(s(s(elem_10))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),s(s(s(s(s(elem_10)))))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
s(s(s(s(s(elem_10))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_10)))),elem_22) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(elem_10))))) != s(elem_22)
| s(s(s(s(s(elem_10))))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(elem_10))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_261,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(elem_10))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),s(elem_22)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
s(s(s(s(s(elem_10))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_261]) ).
cnf(refute_0_263,plain,
( elem_25 != elem_7
| s(s(s(s(s(elem_10))))) != elem_25
| s(s(s(s(s(elem_10))))) = elem_7 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_10))))),elem_25) ),[1],$fot(elem_7)]]) ).
cnf(refute_0_264,plain,
( elem_25 != elem_7
| s(s(s(s(s(elem_10))))) = elem_7 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),elem_25) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
elem_25 != elem_7,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_10))))),elem_7) )],[refute_0_264,refute_0_234]) ).
cnf(refute_0_266,plain,
( elem_7 != elem_25
| elem_25 = elem_7 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_7)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_267,plain,
elem_7 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_7) )],[refute_0_266,refute_0_265]) ).
cnf(refute_0_268,plain,
select(earray_70,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_7,elem_25) )],[refute_0_228,refute_0_267]) ).
cnf(refute_0_269,plain,
( select(earray_70,elem_25) != elem_57
| select(earray_72,elem_25) != select(earray_70,elem_25)
| select(earray_72,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_72,elem_25),select(earray_70,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_270,plain,
( select(earray_72,elem_25) != select(earray_70,elem_25)
| select(earray_72,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_70,elem_25),elem_57) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( elem_4 = elem_25
| select(earray_72,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_72,elem_25),select(earray_70,elem_25)) )],[refute_0_61,refute_0_270]) ).
cnf(refute_0_272,plain,
s(s(s(s(s(s(s(elem_4))))))) != elem_4,
inference(subst,[],[as7:[bind(X,$fot(elem_4))]]) ).
cnf(refute_0_273,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_274,plain,
s(elem_4) = elem_7,
inference(resolve,[$cnf( $equal(elem_7,s(elem_4)) )],[hyp72,refute_0_273]) ).
cnf(refute_0_275,plain,
( s(elem_4) != elem_7
| s(s(s(s(s(s(elem_7)))))) != elem_4
| s(s(s(s(s(s(s(elem_4))))))) = elem_4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(elem_4))))))),elem_4) ),[0,0,0,0,0,0,0],$fot(elem_7)]]) ).
cnf(refute_0_276,plain,
( s(s(s(s(s(s(elem_7)))))) != elem_4
| s(s(s(s(s(s(s(elem_4))))))) = elem_4 ),
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
s(s(s(s(s(s(elem_7)))))) != elem_4,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),elem_4) )],[refute_0_276,refute_0_272]) ).
cnf(refute_0_278,plain,
s(s(elem_7)) = s(s(elem_7)),
introduced(tautology,[refl,[$fot(s(s(elem_7)))]]) ).
cnf(refute_0_279,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_280,plain,
( s(elem_7) != elem_10
| s(s(elem_7)) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(elem_7)),s(s(elem_7))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
s(s(elem_7)) = s(elem_10),
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_231,refute_0_280]) ).
cnf(refute_0_282,plain,
( s(elem_10) != elem_13
| s(s(elem_7)) != s(elem_10)
| s(s(elem_7)) = elem_13 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_7)))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_283,plain,
( s(elem_10) != elem_13
| s(s(elem_7)) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(elem_7)),s(elem_10)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
s(s(elem_7)) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_195,refute_0_283]) ).
cnf(refute_0_285,plain,
s(s(s(elem_7))) = s(s(s(elem_7))),
introduced(tautology,[refl,[$fot(s(s(s(elem_7))))]]) ).
cnf(refute_0_286,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_287,plain,
( s(s(elem_7)) != elem_13
| s(s(s(elem_7))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),s(s(s(elem_7)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
s(s(s(elem_7))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(elem_7)),elem_13) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( s(elem_13) != elem_16
| s(s(s(elem_7))) != s(elem_13)
| s(s(s(elem_7))) = elem_16 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_7))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_290,plain,
( s(elem_13) != elem_16
| s(s(s(elem_7))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),s(elem_13)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
s(s(s(elem_7))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_290]) ).
cnf(refute_0_292,plain,
s(s(s(s(elem_7)))) = s(s(s(s(elem_7)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_7)))))]]) ).
cnf(refute_0_293,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_294,plain,
( s(s(s(elem_7))) != elem_16
| s(s(s(s(elem_7)))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),s(s(s(s(elem_7))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
s(s(s(s(elem_7)))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(elem_7))),elem_16) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( s(elem_16) != elem_19
| s(s(s(s(elem_7)))) != s(elem_16)
| s(s(s(s(elem_7)))) = elem_19 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_7)))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_297,plain,
( s(elem_16) != elem_19
| s(s(s(s(elem_7)))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),s(elem_16)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
s(s(s(s(elem_7)))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_297]) ).
cnf(refute_0_299,plain,
s(s(s(s(s(elem_7))))) = s(s(s(s(s(elem_7))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_7))))))]]) ).
cnf(refute_0_300,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_301,plain,
( s(s(s(s(elem_7)))) != elem_19
| s(s(s(s(s(elem_7))))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),s(s(s(s(s(elem_7)))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
s(s(s(s(s(elem_7))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_7)))),elem_19) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(elem_7))))) != s(elem_19)
| s(s(s(s(s(elem_7))))) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(elem_7))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_304,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(elem_7))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),s(elem_19)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
s(s(s(s(s(elem_7))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_304]) ).
cnf(refute_0_306,plain,
s(s(s(s(s(s(elem_7)))))) = s(s(s(s(s(s(elem_7)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_7)))))))]]) ).
cnf(refute_0_307,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_308,plain,
( s(s(s(s(s(elem_7))))) != elem_22
| s(s(s(s(s(s(elem_7)))))) = s(elem_22) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),s(s(s(s(s(s(elem_7))))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
s(s(s(s(s(s(elem_7)))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_7))))),elem_22) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(elem_7)))))) != s(elem_22)
| s(s(s(s(s(s(elem_7)))))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(s(elem_7)))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_311,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(elem_7)))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),s(elem_22)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
s(s(s(s(s(s(elem_7)))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_311]) ).
cnf(refute_0_313,plain,
( elem_25 != elem_4
| s(s(s(s(s(s(elem_7)))))) != elem_25
| s(s(s(s(s(s(elem_7)))))) = elem_4 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),elem_25) ),[1],$fot(elem_4)]]) ).
cnf(refute_0_314,plain,
( elem_25 != elem_4
| s(s(s(s(s(s(elem_7)))))) = elem_4 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),elem_25) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
elem_25 != elem_4,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_7)))))),elem_4) )],[refute_0_314,refute_0_277]) ).
cnf(refute_0_316,plain,
( elem_4 != elem_25
| elem_25 = elem_4 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_4)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_317,plain,
elem_4 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_4) )],[refute_0_316,refute_0_315]) ).
cnf(refute_0_318,plain,
select(earray_72,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_4,elem_25) )],[refute_0_271,refute_0_317]) ).
cnf(refute_0_319,plain,
( select(earray_72,elem_25) != elem_57
| select(earray_74,elem_25) != select(earray_72,elem_25)
| select(earray_74,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_74,elem_25),select(earray_72,elem_25)) ),[1],$fot(elem_57)]]) ).
cnf(refute_0_320,plain,
( select(earray_74,elem_25) != select(earray_72,elem_25)
| select(earray_74,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_72,elem_25),elem_57) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( elem_0 = elem_25
| select(earray_74,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_74,elem_25),select(earray_72,elem_25)) )],[refute_0_54,refute_0_320]) ).
cnf(refute_0_322,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) != elem_0,
inference(subst,[],[as8:[bind(X,$fot(elem_0))]]) ).
cnf(refute_0_323,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_324,plain,
s(elem_0) = elem_4,
inference(resolve,[$cnf( $equal(elem_4,s(elem_0)) )],[hyp53,refute_0_323]) ).
cnf(refute_0_325,plain,
( s(elem_0) != elem_4
| s(s(s(s(s(s(s(elem_4))))))) != elem_0
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(elem_0)))))))),elem_0) ),[0,0,0,0,0,0,0,0],$fot(elem_4)]]) ).
cnf(refute_0_326,plain,
( s(s(s(s(s(s(s(elem_4))))))) != elem_0
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_0 ),
inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
s(s(s(s(s(s(s(elem_4))))))) != elem_0,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),elem_0) )],[refute_0_326,refute_0_322]) ).
cnf(refute_0_328,plain,
s(s(elem_4)) = s(s(elem_4)),
introduced(tautology,[refl,[$fot(s(s(elem_4)))]]) ).
cnf(refute_0_329,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_330,plain,
( s(elem_4) != elem_7
| s(s(elem_4)) = s(elem_7) ),
inference(resolve,[$cnf( $equal(s(s(elem_4)),s(s(elem_4))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
s(s(elem_4)) = s(elem_7),
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_274,refute_0_330]) ).
cnf(refute_0_332,plain,
( s(elem_7) != elem_10
| s(s(elem_4)) != s(elem_7)
| s(s(elem_4)) = elem_10 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_4)))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).
cnf(refute_0_333,plain,
( s(elem_7) != elem_10
| s(s(elem_4)) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(elem_4)),s(elem_7)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
s(s(elem_4)) = elem_10,
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_231,refute_0_333]) ).
cnf(refute_0_335,plain,
s(s(s(elem_4))) = s(s(s(elem_4))),
introduced(tautology,[refl,[$fot(s(s(s(elem_4))))]]) ).
cnf(refute_0_336,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_337,plain,
( s(s(elem_4)) != elem_10
| s(s(s(elem_4))) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(s(s(elem_4)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
s(s(s(elem_4))) = s(elem_10),
inference(resolve,[$cnf( $equal(s(s(elem_4)),elem_10) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( s(elem_10) != elem_13
| s(s(s(elem_4))) != s(elem_10)
| s(s(s(elem_4))) = elem_13 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_4))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_340,plain,
( s(elem_10) != elem_13
| s(s(s(elem_4))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(elem_10)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
s(s(s(elem_4))) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_195,refute_0_340]) ).
cnf(refute_0_342,plain,
s(s(s(s(elem_4)))) = s(s(s(s(elem_4)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_4)))))]]) ).
cnf(refute_0_343,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_344,plain,
( s(s(s(elem_4))) != elem_13
| s(s(s(s(elem_4)))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),s(s(s(s(elem_4))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
s(s(s(s(elem_4)))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(s(elem_4))),elem_13) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( s(elem_13) != elem_16
| s(s(s(s(elem_4)))) != s(elem_13)
| s(s(s(s(elem_4)))) = elem_16 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_4)))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_347,plain,
( s(elem_13) != elem_16
| s(s(s(s(elem_4)))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),s(elem_13)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
s(s(s(s(elem_4)))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_347]) ).
cnf(refute_0_349,plain,
s(s(s(s(s(elem_4))))) = s(s(s(s(s(elem_4))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_4))))))]]) ).
cnf(refute_0_350,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_351,plain,
( s(s(s(s(elem_4)))) != elem_16
| s(s(s(s(s(elem_4))))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),s(s(s(s(s(elem_4)))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
s(s(s(s(s(elem_4))))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_4)))),elem_16) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(elem_4))))) != s(elem_16)
| s(s(s(s(s(elem_4))))) = elem_19 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(elem_4))))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_354,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(elem_4))))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),s(elem_16)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
s(s(s(s(s(elem_4))))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_354]) ).
cnf(refute_0_356,plain,
s(s(s(s(s(s(elem_4)))))) = s(s(s(s(s(s(elem_4)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_4)))))))]]) ).
cnf(refute_0_357,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_358,plain,
( s(s(s(s(s(elem_4))))) != elem_19
| s(s(s(s(s(s(elem_4)))))) = s(elem_19) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),s(s(s(s(s(s(elem_4))))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
s(s(s(s(s(s(elem_4)))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_4))))),elem_19) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(elem_4)))))) != s(elem_19)
| s(s(s(s(s(s(elem_4)))))) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(s(elem_4)))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_361,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(elem_4)))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),s(elem_19)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
s(s(s(s(s(s(elem_4)))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_361]) ).
cnf(refute_0_363,plain,
s(s(s(s(s(s(s(elem_4))))))) = s(s(s(s(s(s(s(elem_4))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_4))))))))]]) ).
cnf(refute_0_364,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_365,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( $equal(s(s(s(s(s(s(s(elem_4))))))),s(s(s(s(s(s(s(elem_4)))))))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
s(s(s(s(s(s(s(elem_4))))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_4)))))),elem_22) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(elem_4))))))) != s(elem_22)
| s(s(s(s(s(s(s(elem_4))))))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(s(s(elem_4))))))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).
cnf(refute_0_368,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(elem_4))))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),s(elem_22)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
s(s(s(s(s(s(s(elem_4))))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_368]) ).
cnf(refute_0_370,plain,
( elem_25 != elem_0
| s(s(s(s(s(s(s(elem_4))))))) != elem_25
| s(s(s(s(s(s(s(elem_4))))))) = elem_0 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),elem_25) ),[1],$fot(elem_0)]]) ).
cnf(refute_0_371,plain,
( elem_25 != elem_0
| s(s(s(s(s(s(s(elem_4))))))) = elem_0 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),elem_25) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
elem_25 != elem_0,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_4))))))),elem_0) )],[refute_0_371,refute_0_327]) ).
cnf(refute_0_373,plain,
( elem_0 != elem_25
| elem_25 = elem_0 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_0)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_374,plain,
elem_0 != elem_25,
inference(resolve,[$cnf( $equal(elem_25,elem_0) )],[refute_0_373,refute_0_372]) ).
cnf(refute_0_375,plain,
select(earray_74,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_0,elem_25) )],[refute_0_321,refute_0_374]) ).
cnf(refute_0_376,plain,
( select(earray_45,elem_25) != select(earray_74,elem_25)
| select(earray_74,elem_25) != elem_57
| select(earray_45,elem_25) = elem_57 ),
introduced(tautology,[equality,[$cnf( ~ $equal(select(earray_45,elem_25),elem_57) ),[0],$fot(select(earray_74,elem_25))]]) ).
cnf(refute_0_377,plain,
( select(earray_45,elem_25) != select(earray_74,elem_25)
| select(earray_45,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_74,elem_25),elem_57) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( i = elem_25
| select(earray_45,elem_25) = elem_57 ),
inference(resolve,[$cnf( $equal(select(earray_45,elem_25),select(earray_74,elem_25)) )],[refute_0_47,refute_0_377]) ).
cnf(refute_0_379,plain,
s(s(s(s(s(s(s(s(s(i))))))))) != i,
inference(subst,[],[as9:[bind(X,$fot(i))]]) ).
cnf(refute_0_380,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_381,plain,
s(i) = elem_0,
inference(resolve,[$cnf( $equal(elem_0,s(i)) )],[hyp30,refute_0_380]) ).
cnf(refute_0_382,plain,
( s(i) != elem_0
| s(s(s(s(s(s(s(s(elem_0)))))))) != i
| s(s(s(s(s(s(s(s(s(i))))))))) = i ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(s(i))))))))),i) ),[0,0,0,0,0,0,0,0,0],$fot(elem_0)]]) ).
cnf(refute_0_383,plain,
( s(s(s(s(s(s(s(s(elem_0)))))))) != i
| s(s(s(s(s(s(s(s(s(i))))))))) = i ),
inference(resolve,[$cnf( $equal(s(i),elem_0) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) != i,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(i))))))))),i) )],[refute_0_383,refute_0_379]) ).
cnf(refute_0_385,plain,
s(s(elem_0)) = s(s(elem_0)),
introduced(tautology,[refl,[$fot(s(s(elem_0)))]]) ).
cnf(refute_0_386,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_387,plain,
( s(elem_0) != elem_4
| s(s(elem_0)) = s(elem_4) ),
inference(resolve,[$cnf( $equal(s(s(elem_0)),s(s(elem_0))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
s(s(elem_0)) = s(elem_4),
inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_324,refute_0_387]) ).
cnf(refute_0_389,plain,
( s(elem_4) != elem_7
| s(s(elem_0)) != s(elem_4)
| s(s(elem_0)) = elem_7 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_0)))),bind(Y,$fot(s(elem_4))),bind(Z,$fot(elem_7))]]) ).
cnf(refute_0_390,plain,
( s(elem_4) != elem_7
| s(s(elem_0)) = elem_7 ),
inference(resolve,[$cnf( $equal(s(s(elem_0)),s(elem_4)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
s(s(elem_0)) = elem_7,
inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_274,refute_0_390]) ).
cnf(refute_0_392,plain,
s(s(s(elem_0))) = s(s(s(elem_0))),
introduced(tautology,[refl,[$fot(s(s(s(elem_0))))]]) ).
cnf(refute_0_393,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_394,plain,
( s(s(elem_0)) != elem_7
| s(s(s(elem_0))) = s(elem_7) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(s(s(elem_0)))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
s(s(s(elem_0))) = s(elem_7),
inference(resolve,[$cnf( $equal(s(s(elem_0)),elem_7) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
( s(elem_7) != elem_10
| s(s(s(elem_0))) != s(elem_7)
| s(s(s(elem_0))) = elem_10 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_0))))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).
cnf(refute_0_397,plain,
( s(elem_7) != elem_10
| s(s(s(elem_0))) = elem_10 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(elem_7)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
s(s(s(elem_0))) = elem_10,
inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_231,refute_0_397]) ).
cnf(refute_0_399,plain,
s(s(s(s(elem_0)))) = s(s(s(s(elem_0)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_0)))))]]) ).
cnf(refute_0_400,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_401,plain,
( s(s(s(elem_0))) != elem_10
| s(s(s(s(elem_0)))) = s(elem_10) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(s(s(s(elem_0))))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
s(s(s(s(elem_0)))) = s(elem_10),
inference(resolve,[$cnf( $equal(s(s(s(elem_0))),elem_10) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( s(elem_10) != elem_13
| s(s(s(s(elem_0)))) != s(elem_10)
| s(s(s(s(elem_0)))) = elem_13 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_0)))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).
cnf(refute_0_404,plain,
( s(elem_10) != elem_13
| s(s(s(s(elem_0)))) = elem_13 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(elem_10)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
s(s(s(s(elem_0)))) = elem_13,
inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_195,refute_0_404]) ).
cnf(refute_0_406,plain,
s(s(s(s(s(elem_0))))) = s(s(s(s(s(elem_0))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_0))))))]]) ).
cnf(refute_0_407,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_408,plain,
( s(s(s(s(elem_0)))) != elem_13
| s(s(s(s(s(elem_0))))) = s(elem_13) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),s(s(s(s(s(elem_0)))))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
s(s(s(s(s(elem_0))))) = s(elem_13),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),elem_13) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( s(elem_13) != elem_16
| s(s(s(s(s(elem_0))))) != s(elem_13)
| s(s(s(s(s(elem_0))))) = elem_16 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(elem_0))))))),bind(Y,$fot(s(elem_13))),bind(Z,$fot(elem_16))]]) ).
cnf(refute_0_411,plain,
( s(elem_13) != elem_16
| s(s(s(s(s(elem_0))))) = elem_16 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),s(elem_13)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
s(s(s(s(s(elem_0))))) = elem_16,
inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_166,refute_0_411]) ).
cnf(refute_0_413,plain,
s(s(s(s(s(s(elem_0)))))) = s(s(s(s(s(s(elem_0)))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_0)))))))]]) ).
cnf(refute_0_414,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_415,plain,
( s(s(s(s(s(elem_0))))) != elem_16
| s(s(s(s(s(s(elem_0)))))) = s(elem_16) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),s(s(s(s(s(s(elem_0))))))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
s(s(s(s(s(s(elem_0)))))) = s(elem_16),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_0))))),elem_16) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(s(elem_0)))))) != s(elem_16)
| s(s(s(s(s(s(elem_0)))))) = elem_19 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(s(elem_0)))))))),bind(Y,$fot(s(elem_16))),bind(Z,$fot(elem_19))]]) ).
cnf(refute_0_418,plain,
( s(elem_16) != elem_19
| s(s(s(s(s(s(elem_0)))))) = elem_19 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),s(elem_16)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
s(s(s(s(s(s(elem_0)))))) = elem_19,
inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_142,refute_0_418]) ).
cnf(refute_0_420,plain,
s(s(s(s(s(s(s(elem_0))))))) = s(s(s(s(s(s(s(elem_0))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_0))))))))]]) ).
cnf(refute_0_421,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_422,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( $equal(s(s(s(s(s(s(s(elem_0))))))),s(s(s(s(s(s(s(elem_0)))))))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
s(s(s(s(s(s(s(elem_0))))))) = s(elem_19),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_0)))))),elem_19) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(s(elem_0))))))) != s(elem_19)
| s(s(s(s(s(s(s(elem_0))))))) = elem_22 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(s(s(elem_0))))))))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).
cnf(refute_0_425,plain,
( s(elem_19) != elem_22
| s(s(s(s(s(s(s(elem_0))))))) = elem_22 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),s(elem_19)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
s(s(s(s(s(s(s(elem_0))))))) = elem_22,
inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_127,refute_0_425]) ).
cnf(refute_0_427,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = s(s(s(s(s(s(s(s(elem_0)))))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(elem_0)))))))))]]) ).
cnf(refute_0_428,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_429,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( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),s(s(s(s(s(s(s(s(elem_0))))))))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = s(elem_22),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_0))))))),elem_22) )],[refute_0_426,refute_0_429]) ).
cnf(refute_0_431,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(s(elem_0)))))))) != s(elem_22)
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25 ),
inference(subst,[],[refute_0_151:[bind(X0,$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_432,plain,
( s(elem_22) != elem_25
| s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),s(elem_22)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
s(s(s(s(s(s(s(s(elem_0)))))))) = elem_25,
inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_109,refute_0_432]) ).
cnf(refute_0_434,plain,
( elem_25 != i
| s(s(s(s(s(s(s(s(elem_0)))))))) != elem_25
| s(s(s(s(s(s(s(s(elem_0)))))))) = i ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),elem_25) ),[1],$fot(i)]]) ).
cnf(refute_0_435,plain,
( elem_25 != i
| s(s(s(s(s(s(s(s(elem_0)))))))) = i ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),elem_25) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
elem_25 != i,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_0)))))))),i) )],[refute_0_435,refute_0_384]) ).
cnf(refute_0_437,plain,
( i != elem_25
| elem_25 = i ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(i)),bind(Y,$fot(elem_25))]]) ).
cnf(refute_0_438,plain,
i != elem_25,
inference(resolve,[$cnf( $equal(elem_25,i) )],[refute_0_437,refute_0_436]) ).
cnf(refute_0_439,plain,
select(earray_45,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(i,elem_25) )],[refute_0_378,refute_0_438]) ).
cnf(refute_0_440,plain,
( select(earray_45,elem_25) != elem_57
| select(earray_45,elem_25) != select(earray_42,elem_25)
| elem_57 = select(earray_42,elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_45,elem_25),select(earray_42,elem_25)) ),[0],$fot(elem_57)]]) ).
cnf(refute_0_441,plain,
( select(earray_45,elem_25) != select(earray_42,elem_25)
| elem_57 = select(earray_42,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_45,elem_25),elem_57) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( elem_43 = elem_25
| elem_57 = select(earray_42,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_45,elem_25),select(earray_42,elem_25)) )],[refute_0_35,refute_0_441]) ).
cnf(refute_0_443,plain,
s(s(s(s(s(s(elem_25)))))) != elem_25,
inference(subst,[],[as6:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_444,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_445,plain,
s(elem_25) = elem_28,
inference(resolve,[$cnf( $equal(elem_28,s(elem_25)) )],[hyp45,refute_0_444]) ).
cnf(refute_0_446,plain,
( s(elem_25) != elem_28
| s(s(s(s(s(elem_28))))) != elem_25
| s(s(s(s(s(s(elem_25)))))) = elem_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(elem_25)))))),elem_25) ),[0,0,0,0,0,0],$fot(elem_28)]]) ).
cnf(refute_0_447,plain,
( s(s(s(s(s(elem_28))))) != elem_25
| s(s(s(s(s(s(elem_25)))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
s(s(s(s(s(elem_28))))) != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_25)))))),elem_25) )],[refute_0_447,refute_0_443]) ).
cnf(refute_0_449,plain,
( elem_43 != s(elem_40)
| s(elem_40) = elem_43 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_43)),bind(Y,$fot(s(elem_40)))]]) ).
cnf(refute_0_450,plain,
s(elem_40) = elem_43,
inference(resolve,[$cnf( $equal(elem_43,s(elem_40)) )],[hyp56,refute_0_449]) ).
cnf(refute_0_451,plain,
( elem_40 != s(elem_37)
| s(elem_37) = elem_40 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_40)),bind(Y,$fot(s(elem_37)))]]) ).
cnf(refute_0_452,plain,
s(elem_37) = elem_40,
inference(resolve,[$cnf( $equal(elem_40,s(elem_37)) )],[hyp54,refute_0_451]) ).
cnf(refute_0_453,plain,
( elem_37 != s(elem_34)
| s(elem_34) = elem_37 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_37)),bind(Y,$fot(s(elem_34)))]]) ).
cnf(refute_0_454,plain,
s(elem_34) = elem_37,
inference(resolve,[$cnf( $equal(elem_37,s(elem_34)) )],[hyp51,refute_0_453]) ).
cnf(refute_0_455,plain,
( elem_34 != s(elem_31)
| s(elem_31) = elem_34 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_34)),bind(Y,$fot(s(elem_31)))]]) ).
cnf(refute_0_456,plain,
s(elem_31) = elem_34,
inference(resolve,[$cnf( $equal(elem_34,s(elem_31)) )],[hyp49,refute_0_455]) ).
cnf(refute_0_457,plain,
( elem_31 != s(elem_28)
| s(elem_28) = elem_31 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_31)),bind(Y,$fot(s(elem_28)))]]) ).
cnf(refute_0_458,plain,
s(elem_28) = elem_31,
inference(resolve,[$cnf( $equal(elem_31,s(elem_28)) )],[hyp47,refute_0_457]) ).
cnf(refute_0_459,plain,
s(s(elem_28)) = s(s(elem_28)),
introduced(tautology,[refl,[$fot(s(s(elem_28)))]]) ).
cnf(refute_0_460,plain,
( s(elem_28) != elem_31
| s(s(elem_28)) != s(s(elem_28))
| s(s(elem_28)) = s(elem_31) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_28)),s(s(elem_28))) ),[1,0],$fot(elem_31)]]) ).
cnf(refute_0_461,plain,
( s(elem_28) != elem_31
| s(s(elem_28)) = s(elem_31) ),
inference(resolve,[$cnf( $equal(s(s(elem_28)),s(s(elem_28))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
s(s(elem_28)) = s(elem_31),
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
( s(elem_31) != elem_34
| s(s(elem_28)) != s(elem_31)
| s(s(elem_28)) = elem_34 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(elem_28)))),bind(Y,$fot(s(elem_31))),bind(Z,$fot(elem_34))]]) ).
cnf(refute_0_464,plain,
( s(elem_31) != elem_34
| s(s(elem_28)) = elem_34 ),
inference(resolve,[$cnf( $equal(s(s(elem_28)),s(elem_31)) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
s(s(elem_28)) = elem_34,
inference(resolve,[$cnf( $equal(s(elem_31),elem_34) )],[refute_0_456,refute_0_464]) ).
cnf(refute_0_466,plain,
s(s(s(elem_28))) = s(s(s(elem_28))),
introduced(tautology,[refl,[$fot(s(s(s(elem_28))))]]) ).
cnf(refute_0_467,plain,
( s(s(elem_28)) != elem_34
| s(s(s(elem_28))) != s(s(s(elem_28)))
| s(s(s(elem_28))) = s(elem_34) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_28))),s(s(s(elem_28)))) ),[1,0],$fot(elem_34)]]) ).
cnf(refute_0_468,plain,
( s(s(elem_28)) != elem_34
| s(s(s(elem_28))) = s(elem_34) ),
inference(resolve,[$cnf( $equal(s(s(s(elem_28))),s(s(s(elem_28)))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
s(s(s(elem_28))) = s(elem_34),
inference(resolve,[$cnf( $equal(s(s(elem_28)),elem_34) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
( s(elem_34) != elem_37
| s(s(s(elem_28))) != s(elem_34)
| s(s(s(elem_28))) = elem_37 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(elem_28))))),bind(Y,$fot(s(elem_34))),bind(Z,$fot(elem_37))]]) ).
cnf(refute_0_471,plain,
( s(elem_34) != elem_37
| s(s(s(elem_28))) = elem_37 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_28))),s(elem_34)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
s(s(s(elem_28))) = elem_37,
inference(resolve,[$cnf( $equal(s(elem_34),elem_37) )],[refute_0_454,refute_0_471]) ).
cnf(refute_0_473,plain,
s(s(s(s(elem_28)))) = s(s(s(s(elem_28)))),
introduced(tautology,[refl,[$fot(s(s(s(s(elem_28)))))]]) ).
cnf(refute_0_474,plain,
( s(s(s(elem_28))) != elem_37
| s(s(s(s(elem_28)))) != s(s(s(s(elem_28))))
| s(s(s(s(elem_28)))) = s(elem_37) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_28)))),s(s(s(s(elem_28))))) ),[1,0],$fot(elem_37)]]) ).
cnf(refute_0_475,plain,
( s(s(s(elem_28))) != elem_37
| s(s(s(s(elem_28)))) = s(elem_37) ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_28)))),s(s(s(s(elem_28))))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
s(s(s(s(elem_28)))) = s(elem_37),
inference(resolve,[$cnf( $equal(s(s(s(elem_28))),elem_37) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
( s(elem_37) != elem_40
| s(s(s(s(elem_28)))) != s(elem_37)
| s(s(s(s(elem_28)))) = elem_40 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(elem_28)))))),bind(Y,$fot(s(elem_37))),bind(Z,$fot(elem_40))]]) ).
cnf(refute_0_478,plain,
( s(elem_37) != elem_40
| s(s(s(s(elem_28)))) = elem_40 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_28)))),s(elem_37)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
s(s(s(s(elem_28)))) = elem_40,
inference(resolve,[$cnf( $equal(s(elem_37),elem_40) )],[refute_0_452,refute_0_478]) ).
cnf(refute_0_480,plain,
s(s(s(s(s(elem_28))))) = s(s(s(s(s(elem_28))))),
introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_28))))))]]) ).
cnf(refute_0_481,plain,
( s(s(s(s(elem_28)))) != elem_40
| s(s(s(s(s(elem_28))))) != s(s(s(s(s(elem_28)))))
| s(s(s(s(s(elem_28))))) = s(elem_40) ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_28))))),s(s(s(s(s(elem_28)))))) ),[1,0],$fot(elem_40)]]) ).
cnf(refute_0_482,plain,
( s(s(s(s(elem_28)))) != elem_40
| s(s(s(s(s(elem_28))))) = s(elem_40) ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_28))))),s(s(s(s(s(elem_28)))))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
s(s(s(s(s(elem_28))))) = s(elem_40),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_28)))),elem_40) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( s(elem_40) != elem_43
| s(s(s(s(s(elem_28))))) != s(elem_40)
| s(s(s(s(s(elem_28))))) = elem_43 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(s(s(s(s(elem_28))))))),bind(Y,$fot(s(elem_40))),bind(Z,$fot(elem_43))]]) ).
cnf(refute_0_485,plain,
( s(elem_40) != elem_43
| s(s(s(s(s(elem_28))))) = elem_43 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_28))))),s(elem_40)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
s(s(s(s(s(elem_28))))) = elem_43,
inference(resolve,[$cnf( $equal(s(elem_40),elem_43) )],[refute_0_450,refute_0_485]) ).
cnf(refute_0_487,plain,
( elem_43 != elem_25
| s(s(s(s(s(elem_28))))) != elem_43
| s(s(s(s(s(elem_28))))) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_28))))),elem_43) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_488,plain,
( elem_43 != elem_25
| s(s(s(s(s(elem_28))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_28))))),elem_43) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
elem_43 != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_28))))),elem_25) )],[refute_0_488,refute_0_448]) ).
cnf(refute_0_490,plain,
elem_57 = select(earray_42,elem_25),
inference(resolve,[$cnf( $equal(elem_43,elem_25) )],[refute_0_442,refute_0_489]) ).
cnf(refute_0_491,plain,
( elem_57 != select(earray_42,elem_25)
| select(earray_42,elem_25) = elem_57 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_57)),bind(Y,$fot(select(earray_42,elem_25)))]]) ).
cnf(refute_0_492,plain,
select(earray_42,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_57,select(earray_42,elem_25)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
( select(earray_42,elem_25) != elem_57
| select(earray_42,elem_25) != select(earray_39,elem_25)
| elem_57 = select(earray_39,elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_42,elem_25),select(earray_39,elem_25)) ),[0],$fot(elem_57)]]) ).
cnf(refute_0_494,plain,
( select(earray_42,elem_25) != select(earray_39,elem_25)
| elem_57 = select(earray_39,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_42,elem_25),elem_57) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( elem_40 = elem_25
| elem_57 = select(earray_39,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_42,elem_25),select(earray_39,elem_25)) )],[refute_0_28,refute_0_494]) ).
cnf(refute_0_496,plain,
s(s(s(s(s(elem_25))))) != elem_25,
inference(subst,[],[as5:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_497,plain,
( s(elem_25) != elem_28
| s(s(s(s(elem_28)))) != elem_25
| s(s(s(s(s(elem_25))))) = elem_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(elem_25))))),elem_25) ),[0,0,0,0,0],$fot(elem_28)]]) ).
cnf(refute_0_498,plain,
( s(s(s(s(elem_28)))) != elem_25
| s(s(s(s(s(elem_25))))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_497]) ).
cnf(refute_0_499,plain,
s(s(s(s(elem_28)))) != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_25))))),elem_25) )],[refute_0_498,refute_0_496]) ).
cnf(refute_0_500,plain,
( elem_40 != elem_25
| s(s(s(s(elem_28)))) != elem_40
| s(s(s(s(elem_28)))) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_28)))),elem_40) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_501,plain,
( elem_40 != elem_25
| s(s(s(s(elem_28)))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(s(elem_28)))),elem_40) )],[refute_0_479,refute_0_500]) ).
cnf(refute_0_502,plain,
elem_40 != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_28)))),elem_25) )],[refute_0_501,refute_0_499]) ).
cnf(refute_0_503,plain,
elem_57 = select(earray_39,elem_25),
inference(resolve,[$cnf( $equal(elem_40,elem_25) )],[refute_0_495,refute_0_502]) ).
cnf(refute_0_504,plain,
( elem_57 != select(earray_39,elem_25)
| select(earray_39,elem_25) = elem_57 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_57)),bind(Y,$fot(select(earray_39,elem_25)))]]) ).
cnf(refute_0_505,plain,
select(earray_39,elem_25) = elem_57,
inference(resolve,[$cnf( $equal(elem_57,select(earray_39,elem_25)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
( select(earray_39,elem_25) != elem_57
| select(earray_39,elem_25) != select(earray_36,elem_25)
| elem_57 = select(earray_36,elem_25) ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_39,elem_25),select(earray_36,elem_25)) ),[0],$fot(elem_57)]]) ).
cnf(refute_0_507,plain,
( select(earray_39,elem_25) != select(earray_36,elem_25)
| elem_57 = select(earray_36,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_39,elem_25),elem_57) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
( elem_37 = elem_25
| elem_57 = select(earray_36,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_39,elem_25),select(earray_36,elem_25)) )],[refute_0_21,refute_0_507]) ).
cnf(refute_0_509,plain,
s(s(s(s(elem_25)))) != elem_25,
inference(subst,[],[as4:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_510,plain,
( s(elem_25) != elem_28
| s(s(s(elem_28))) != elem_25
| s(s(s(s(elem_25)))) = elem_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(elem_25)))),elem_25) ),[0,0,0,0],$fot(elem_28)]]) ).
cnf(refute_0_511,plain,
( s(s(s(elem_28))) != elem_25
| s(s(s(s(elem_25)))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_510]) ).
cnf(refute_0_512,plain,
s(s(s(elem_28))) != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(s(elem_25)))),elem_25) )],[refute_0_511,refute_0_509]) ).
cnf(refute_0_513,plain,
( elem_37 != elem_25
| s(s(s(elem_28))) != elem_37
| s(s(s(elem_28))) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_28))),elem_37) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_514,plain,
( elem_37 != elem_25
| s(s(s(elem_28))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(s(elem_28))),elem_37) )],[refute_0_472,refute_0_513]) ).
cnf(refute_0_515,plain,
elem_37 != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(elem_28))),elem_25) )],[refute_0_514,refute_0_512]) ).
cnf(refute_0_516,plain,
elem_57 = select(earray_36,elem_25),
inference(resolve,[$cnf( $equal(elem_37,elem_25) )],[refute_0_508,refute_0_515]) ).
cnf(refute_0_517,plain,
( elem_34 = X_72
| select(store(earray_33,elem_34,elem_35),X_72) = select(earray_33,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_33)),bind(E,$fot(elem_35)),bind(I,$fot(elem_34)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_518,plain,
( earray_36 != store(earray_33,elem_34,elem_35)
| store(earray_33,elem_34,elem_35) = earray_36 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_36)),bind(Y,$fot(store(earray_33,elem_34,elem_35)))]]) ).
cnf(refute_0_519,plain,
store(earray_33,elem_34,elem_35) = earray_36,
inference(resolve,[$cnf( $equal(earray_36,store(earray_33,elem_34,elem_35)) )],[hyp9,refute_0_518]) ).
cnf(refute_0_520,plain,
( select(store(earray_33,elem_34,elem_35),X_72) != select(earray_33,X_72)
| store(earray_33,elem_34,elem_35) != earray_36
| select(earray_36,X_72) = select(earray_33,X_72) ),
introduced(tautology,[equality,[$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_521,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( $equal(store(earray_33,elem_34,elem_35),earray_36) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
( elem_34 = X_72
| select(earray_36,X_72) = select(earray_33,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_33,elem_34,elem_35),X_72),select(earray_33,X_72)) )],[refute_0_517,refute_0_521]) ).
cnf(refute_0_523,plain,
( elem_34 = elem_25
| select(earray_36,elem_25) = select(earray_33,elem_25) ),
inference(subst,[],[refute_0_522:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_524,plain,
( elem_57 != select(earray_36,elem_25)
| select(earray_36,elem_25) != select(earray_33,elem_25)
| elem_57 = select(earray_33,elem_25) ),
introduced(tautology,[equality,[$cnf( ~ $equal(elem_57,select(earray_33,elem_25)) ),[0],$fot(select(earray_36,elem_25))]]) ).
cnf(refute_0_525,plain,
( elem_57 != select(earray_36,elem_25)
| elem_34 = elem_25
| elem_57 = select(earray_33,elem_25) ),
inference(resolve,[$cnf( $equal(select(earray_36,elem_25),select(earray_33,elem_25)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
( elem_34 = elem_25
| elem_57 = select(earray_33,elem_25) ),
inference(resolve,[$cnf( $equal(elem_57,select(earray_36,elem_25)) )],[refute_0_516,refute_0_525]) ).
cnf(refute_0_527,plain,
( elem_31 = X_72
| select(store(earray_30,elem_31,elem_32),X_72) = select(earray_30,X_72) ),
inference(subst,[],[a2:[bind(A,$fot(earray_30)),bind(E,$fot(elem_32)),bind(I,$fot(elem_31)),bind(J,$fot(X_72))]]) ).
cnf(refute_0_528,plain,
( earray_33 != store(earray_30,elem_31,elem_32)
| store(earray_30,elem_31,elem_32) = earray_33 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_33)),bind(Y,$fot(store(earray_30,elem_31,elem_32)))]]) ).
cnf(refute_0_529,plain,
store(earray_30,elem_31,elem_32) = earray_33,
inference(resolve,[$cnf( $equal(earray_33,store(earray_30,elem_31,elem_32)) )],[hyp8,refute_0_528]) ).
cnf(refute_0_530,plain,
( select(store(earray_30,elem_31,elem_32),X_72) != select(earray_30,X_72)
| store(earray_30,elem_31,elem_32) != earray_33
| select(earray_33,X_72) = select(earray_30,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),X_72),select(earray_30,X_72)) ),[0,0],$fot(earray_33)]]) ).
cnf(refute_0_531,plain,
( select(store(earray_30,elem_31,elem_32),X_72) != select(earray_30,X_72)
| select(earray_33,X_72) = select(earray_30,X_72) ),
inference(resolve,[$cnf( $equal(store(earray_30,elem_31,elem_32),earray_33) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
( elem_31 = X_72
| select(earray_33,X_72) = select(earray_30,X_72) ),
inference(resolve,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),X_72),select(earray_30,X_72)) )],[refute_0_527,refute_0_531]) ).
cnf(refute_0_533,plain,
( elem_31 = elem_25
| select(earray_33,elem_25) = select(earray_30,elem_25) ),
inference(subst,[],[refute_0_532:[bind(X_72,$fot(elem_25))]]) ).
cnf(refute_0_534,plain,
( X_71 = elem_25
| select(store(earray_27,X_71,X_70),elem_25) = select(earray_27,elem_25) ),
inference(subst,[],[a2:[bind(A,$fot(earray_27)),bind(E,$fot(X_70)),bind(I,$fot(X_71)),bind(J,$fot(elem_25))]]) ).
cnf(refute_0_535,plain,
select(store(earray_24,elem_25,elem_26),elem_25) = elem_26,
inference(subst,[],[a1:[bind(A,$fot(earray_24)),bind(E,$fot(elem_26)),bind(I,$fot(elem_25))]]) ).
cnf(refute_0_536,plain,
( earray_27 != store(earray_24,elem_25,elem_26)
| store(earray_24,elem_25,elem_26) = earray_27 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_27)),bind(Y,$fot(store(earray_24,elem_25,elem_26)))]]) ).
cnf(refute_0_537,plain,
store(earray_24,elem_25,elem_26) = earray_27,
inference(resolve,[$cnf( $equal(earray_27,store(earray_24,elem_25,elem_26)) )],[hyp5,refute_0_536]) ).
cnf(refute_0_538,plain,
( select(store(earray_24,elem_25,elem_26),elem_25) != elem_26
| store(earray_24,elem_25,elem_26) != earray_27
| select(earray_27,elem_25) = elem_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_24,elem_25,elem_26),elem_25),elem_26) ),[0,0],$fot(earray_27)]]) ).
cnf(refute_0_539,plain,
( select(store(earray_24,elem_25,elem_26),elem_25) != elem_26
| select(earray_27,elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(store(earray_24,elem_25,elem_26),earray_27) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
select(earray_27,elem_25) = elem_26,
inference(resolve,[$cnf( $equal(select(store(earray_24,elem_25,elem_26),elem_25),elem_26) )],[refute_0_535,refute_0_539]) ).
cnf(refute_0_541,plain,
( select(earray_27,elem_25) != elem_26
| select(store(earray_27,X_71,X_70),elem_25) != select(earray_27,elem_25)
| select(store(earray_27,X_71,X_70),elem_25) = elem_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_27,X_71,X_70),elem_25),select(earray_27,elem_25)) ),[1],$fot(elem_26)]]) ).
cnf(refute_0_542,plain,
( select(store(earray_27,X_71,X_70),elem_25) != select(earray_27,elem_25)
| select(store(earray_27,X_71,X_70),elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(select(earray_27,elem_25),elem_26) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( X_71 = elem_25
| select(store(earray_27,X_71,X_70),elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(select(store(earray_27,X_71,X_70),elem_25),select(earray_27,elem_25)) )],[refute_0_534,refute_0_542]) ).
cnf(refute_0_544,plain,
( elem_28 = elem_25
| select(store(earray_27,elem_28,elem_29),elem_25) = elem_26 ),
inference(subst,[],[refute_0_543:[bind(X_70,$fot(elem_29)),bind(X_71,$fot(elem_28))]]) ).
cnf(refute_0_545,plain,
( earray_30 != store(earray_27,elem_28,elem_29)
| store(earray_27,elem_28,elem_29) = earray_30 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_30)),bind(Y,$fot(store(earray_27,elem_28,elem_29)))]]) ).
cnf(refute_0_546,plain,
store(earray_27,elem_28,elem_29) = earray_30,
inference(resolve,[$cnf( $equal(earray_30,store(earray_27,elem_28,elem_29)) )],[hyp7,refute_0_545]) ).
cnf(refute_0_547,plain,
( select(store(earray_27,elem_28,elem_29),elem_25) != elem_26
| store(earray_27,elem_28,elem_29) != earray_30
| select(earray_30,elem_25) = elem_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(earray_27,elem_28,elem_29),elem_25),elem_26) ),[0,0],$fot(earray_30)]]) ).
cnf(refute_0_548,plain,
( select(store(earray_27,elem_28,elem_29),elem_25) != elem_26
| select(earray_30,elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(store(earray_27,elem_28,elem_29),earray_30) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( elem_28 = elem_25
| select(earray_30,elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(select(store(earray_27,elem_28,elem_29),elem_25),elem_26) )],[refute_0_544,refute_0_548]) ).
cnf(refute_0_550,plain,
s(elem_25) != elem_25,
inference(subst,[],[as1:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_551,plain,
( elem_28 != elem_25
| s(elem_25) != elem_28
| s(elem_25) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_25),elem_28) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_552,plain,
( elem_28 != elem_25
| s(elem_25) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_551]) ).
cnf(refute_0_553,plain,
elem_28 != elem_25,
inference(resolve,[$cnf( $equal(s(elem_25),elem_25) )],[refute_0_552,refute_0_550]) ).
cnf(refute_0_554,plain,
select(earray_30,elem_25) = elem_26,
inference(resolve,[$cnf( $equal(elem_28,elem_25) )],[refute_0_549,refute_0_553]) ).
cnf(refute_0_555,plain,
( select(earray_30,elem_25) != elem_26
| select(earray_33,elem_25) != select(earray_30,elem_25)
| select(earray_33,elem_25) = elem_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(earray_33,elem_25),select(earray_30,elem_25)) ),[1],$fot(elem_26)]]) ).
cnf(refute_0_556,plain,
( select(earray_33,elem_25) != select(earray_30,elem_25)
| select(earray_33,elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(select(earray_30,elem_25),elem_26) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
( elem_31 = elem_25
| select(earray_33,elem_25) = elem_26 ),
inference(resolve,[$cnf( $equal(select(earray_33,elem_25),select(earray_30,elem_25)) )],[refute_0_533,refute_0_556]) ).
cnf(refute_0_558,plain,
s(s(elem_25)) != elem_25,
inference(subst,[],[as2:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_559,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_560,plain,
( s(elem_28) != elem_25
| s(s(elem_25)) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_559]) ).
cnf(refute_0_561,plain,
s(elem_28) != elem_25,
inference(resolve,[$cnf( $equal(s(s(elem_25)),elem_25) )],[refute_0_560,refute_0_558]) ).
cnf(refute_0_562,plain,
( elem_31 != elem_25
| s(elem_28) != elem_31
| s(elem_28) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_28),elem_31) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_563,plain,
( elem_31 != elem_25
| s(elem_28) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_458,refute_0_562]) ).
cnf(refute_0_564,plain,
elem_31 != elem_25,
inference(resolve,[$cnf( $equal(s(elem_28),elem_25) )],[refute_0_563,refute_0_561]) ).
cnf(refute_0_565,plain,
select(earray_33,elem_25) = elem_26,
inference(resolve,[$cnf( $equal(elem_31,elem_25) )],[refute_0_557,refute_0_564]) ).
cnf(refute_0_566,plain,
( elem_57 != select(earray_33,elem_25)
| select(earray_33,elem_25) != elem_26
| elem_57 = elem_26 ),
introduced(tautology,[equality,[$cnf( ~ $equal(elem_57,elem_26) ),[0],$fot(select(earray_33,elem_25))]]) ).
cnf(refute_0_567,plain,
( elem_57 != select(earray_33,elem_25)
| elem_57 = elem_26 ),
inference(resolve,[$cnf( $equal(select(earray_33,elem_25),elem_26) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( elem_34 = elem_25
| elem_57 = elem_26 ),
inference(resolve,[$cnf( $equal(elem_57,select(earray_33,elem_25)) )],[refute_0_526,refute_0_567]) ).
cnf(refute_0_569,plain,
s(s(s(elem_25))) != elem_25,
inference(subst,[],[as3:[bind(X,$fot(elem_25))]]) ).
cnf(refute_0_570,plain,
( s(elem_25) != elem_28
| s(s(elem_28)) != elem_25
| s(s(s(elem_25))) = elem_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(elem_25))),elem_25) ),[0,0,0],$fot(elem_28)]]) ).
cnf(refute_0_571,plain,
( s(s(elem_28)) != elem_25
| s(s(s(elem_25))) = elem_25 ),
inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_445,refute_0_570]) ).
cnf(refute_0_572,plain,
s(s(elem_28)) != elem_25,
inference(resolve,[$cnf( $equal(s(s(s(elem_25))),elem_25) )],[refute_0_571,refute_0_569]) ).
cnf(refute_0_573,plain,
( elem_34 != elem_25
| s(s(elem_28)) != elem_34
| s(s(elem_28)) = elem_25 ),
introduced(tautology,[equality,[$cnf( $equal(s(s(elem_28)),elem_34) ),[1],$fot(elem_25)]]) ).
cnf(refute_0_574,plain,
( elem_34 != elem_25
| s(s(elem_28)) = elem_25 ),
inference(resolve,[$cnf( $equal(s(s(elem_28)),elem_34) )],[refute_0_465,refute_0_573]) ).
cnf(refute_0_575,plain,
elem_34 != elem_25,
inference(resolve,[$cnf( $equal(s(s(elem_28)),elem_25) )],[refute_0_574,refute_0_572]) ).
cnf(refute_0_576,plain,
elem_57 = elem_26,
inference(resolve,[$cnf( $equal(elem_34,elem_25) )],[refute_0_568,refute_0_575]) ).
cnf(refute_0_577,plain,
s(elem_57) = s(elem_57),
introduced(tautology,[refl,[$fot(s(elem_57))]]) ).
cnf(refute_0_578,plain,
( elem_57 != elem_26
| s(elem_57) != s(elem_57)
| s(elem_57) = s(elem_26) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_57),s(elem_57)) ),[1,0],$fot(elem_26)]]) ).
cnf(refute_0_579,plain,
( elem_57 != elem_26
| s(elem_57) = s(elem_26) ),
inference(resolve,[$cnf( $equal(s(elem_57),s(elem_57)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
s(elem_57) = s(elem_26),
inference(resolve,[$cnf( $equal(elem_57,elem_26) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( s(elem_26) != elem_29
| s(elem_57) != s(elem_26)
| s(elem_57) = elem_29 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_57))),bind(Y,$fot(s(elem_26))),bind(Z,$fot(elem_29))]]) ).
cnf(refute_0_582,plain,
( s(elem_26) != elem_29
| s(elem_57) = elem_29 ),
inference(resolve,[$cnf( $equal(s(elem_57),s(elem_26)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
s(elem_57) = elem_29,
inference(resolve,[$cnf( $equal(s(elem_26),elem_29) )],[refute_0_14,refute_0_582]) ).
cnf(refute_0_584,plain,
( s(elem_57) != elem_29
| s(elem_57) != elem_55
| elem_29 = elem_55 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_57),elem_55) ),[0],$fot(elem_29)]]) ).
cnf(refute_0_585,plain,
( s(elem_57) != elem_55
| elem_29 = elem_55 ),
inference(resolve,[$cnf( $equal(s(elem_57),elem_29) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
elem_29 = elem_55,
inference(resolve,[$cnf( $equal(s(elem_57),elem_55) )],[hyp65,refute_0_585]) ).
cnf(refute_0_587,plain,
( elem_29 != elem_55
| elem_55 = elem_29 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_29)),bind(Y,$fot(elem_55))]]) ).
cnf(refute_0_588,plain,
elem_55 = elem_29,
inference(resolve,[$cnf( $equal(elem_29,elem_55) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
s(elem_55) = s(elem_55),
introduced(tautology,[refl,[$fot(s(elem_55))]]) ).
cnf(refute_0_590,plain,
( elem_55 != elem_29
| s(elem_55) != s(elem_55)
| s(elem_55) = s(elem_29) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_55),s(elem_55)) ),[1,0],$fot(elem_29)]]) ).
cnf(refute_0_591,plain,
( elem_55 != elem_29
| s(elem_55) = s(elem_29) ),
inference(resolve,[$cnf( $equal(s(elem_55),s(elem_55)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
s(elem_55) = s(elem_29),
inference(resolve,[$cnf( $equal(elem_55,elem_29) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
( s(elem_29) != elem_32
| s(elem_55) != s(elem_29)
| s(elem_55) = elem_32 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_55))),bind(Y,$fot(s(elem_29))),bind(Z,$fot(elem_32))]]) ).
cnf(refute_0_594,plain,
( s(elem_29) != elem_32
| s(elem_55) = elem_32 ),
inference(resolve,[$cnf( $equal(s(elem_55),s(elem_29)) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
s(elem_55) = elem_32,
inference(resolve,[$cnf( $equal(s(elem_29),elem_32) )],[refute_0_12,refute_0_594]) ).
cnf(refute_0_596,plain,
( s(elem_55) != elem_32
| s(elem_55) != elem_53
| elem_32 = elem_53 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_55),elem_53) ),[0],$fot(elem_32)]]) ).
cnf(refute_0_597,plain,
( s(elem_55) != elem_53
| elem_32 = elem_53 ),
inference(resolve,[$cnf( $equal(s(elem_55),elem_32) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
elem_32 = elem_53,
inference(resolve,[$cnf( $equal(s(elem_55),elem_53) )],[hyp64,refute_0_597]) ).
cnf(refute_0_599,plain,
( elem_32 != elem_53
| elem_53 = elem_32 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_32)),bind(Y,$fot(elem_53))]]) ).
cnf(refute_0_600,plain,
elem_53 = elem_32,
inference(resolve,[$cnf( $equal(elem_32,elem_53) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
s(elem_53) = s(elem_53),
introduced(tautology,[refl,[$fot(s(elem_53))]]) ).
cnf(refute_0_602,plain,
( elem_53 != elem_32
| s(elem_53) != s(elem_53)
| s(elem_53) = s(elem_32) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_53),s(elem_53)) ),[1,0],$fot(elem_32)]]) ).
cnf(refute_0_603,plain,
( elem_53 != elem_32
| s(elem_53) = s(elem_32) ),
inference(resolve,[$cnf( $equal(s(elem_53),s(elem_53)) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
s(elem_53) = s(elem_32),
inference(resolve,[$cnf( $equal(elem_53,elem_32) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
( s(elem_32) != elem_35
| s(elem_53) != s(elem_32)
| s(elem_53) = elem_35 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_53))),bind(Y,$fot(s(elem_32))),bind(Z,$fot(elem_35))]]) ).
cnf(refute_0_606,plain,
( s(elem_32) != elem_35
| s(elem_53) = elem_35 ),
inference(resolve,[$cnf( $equal(s(elem_53),s(elem_32)) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
s(elem_53) = elem_35,
inference(resolve,[$cnf( $equal(s(elem_32),elem_35) )],[refute_0_10,refute_0_606]) ).
cnf(refute_0_608,plain,
( s(elem_53) != elem_35
| s(elem_53) != elem_51
| elem_35 = elem_51 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_53),elem_51) ),[0],$fot(elem_35)]]) ).
cnf(refute_0_609,plain,
( s(elem_53) != elem_51
| elem_35 = elem_51 ),
inference(resolve,[$cnf( $equal(s(elem_53),elem_35) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
elem_35 = elem_51,
inference(resolve,[$cnf( $equal(s(elem_53),elem_51) )],[hyp63,refute_0_609]) ).
cnf(refute_0_611,plain,
( elem_35 != elem_51
| elem_51 = elem_35 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(elem_51))]]) ).
cnf(refute_0_612,plain,
elem_51 = elem_35,
inference(resolve,[$cnf( $equal(elem_35,elem_51) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
s(elem_51) = s(elem_51),
introduced(tautology,[refl,[$fot(s(elem_51))]]) ).
cnf(refute_0_614,plain,
( elem_51 != elem_35
| s(elem_51) != s(elem_51)
| s(elem_51) = s(elem_35) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_51),s(elem_51)) ),[1,0],$fot(elem_35)]]) ).
cnf(refute_0_615,plain,
( elem_51 != elem_35
| s(elem_51) = s(elem_35) ),
inference(resolve,[$cnf( $equal(s(elem_51),s(elem_51)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
s(elem_51) = s(elem_35),
inference(resolve,[$cnf( $equal(elem_51,elem_35) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
( s(elem_35) != elem_38
| s(elem_51) != s(elem_35)
| s(elem_51) = elem_38 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_51))),bind(Y,$fot(s(elem_35))),bind(Z,$fot(elem_38))]]) ).
cnf(refute_0_618,plain,
( s(elem_35) != elem_38
| s(elem_51) = elem_38 ),
inference(resolve,[$cnf( $equal(s(elem_51),s(elem_35)) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
s(elem_51) = elem_38,
inference(resolve,[$cnf( $equal(s(elem_35),elem_38) )],[refute_0_8,refute_0_618]) ).
cnf(refute_0_620,plain,
( s(elem_51) != elem_38
| s(elem_51) != elem_49
| elem_38 = elem_49 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_51),elem_49) ),[0],$fot(elem_38)]]) ).
cnf(refute_0_621,plain,
( s(elem_51) != elem_49
| elem_38 = elem_49 ),
inference(resolve,[$cnf( $equal(s(elem_51),elem_38) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
elem_38 = elem_49,
inference(resolve,[$cnf( $equal(s(elem_51),elem_49) )],[hyp62,refute_0_621]) ).
cnf(refute_0_623,plain,
( elem_38 != elem_49
| elem_49 = elem_38 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_38)),bind(Y,$fot(elem_49))]]) ).
cnf(refute_0_624,plain,
elem_49 = elem_38,
inference(resolve,[$cnf( $equal(elem_38,elem_49) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
s(elem_49) = s(elem_49),
introduced(tautology,[refl,[$fot(s(elem_49))]]) ).
cnf(refute_0_626,plain,
( elem_49 != elem_38
| s(elem_49) != s(elem_49)
| s(elem_49) = s(elem_38) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_49),s(elem_49)) ),[1,0],$fot(elem_38)]]) ).
cnf(refute_0_627,plain,
( elem_49 != elem_38
| s(elem_49) = s(elem_38) ),
inference(resolve,[$cnf( $equal(s(elem_49),s(elem_49)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
s(elem_49) = s(elem_38),
inference(resolve,[$cnf( $equal(elem_49,elem_38) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
( s(elem_38) != elem_41
| s(elem_49) != s(elem_38)
| s(elem_49) = elem_41 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_49))),bind(Y,$fot(s(elem_38))),bind(Z,$fot(elem_41))]]) ).
cnf(refute_0_630,plain,
( s(elem_38) != elem_41
| s(elem_49) = elem_41 ),
inference(resolve,[$cnf( $equal(s(elem_49),s(elem_38)) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
s(elem_49) = elem_41,
inference(resolve,[$cnf( $equal(s(elem_38),elem_41) )],[refute_0_6,refute_0_630]) ).
cnf(refute_0_632,plain,
( s(elem_49) != elem_41
| s(elem_49) != elem_47
| elem_41 = elem_47 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_49),elem_47) ),[0],$fot(elem_41)]]) ).
cnf(refute_0_633,plain,
( s(elem_49) != elem_47
| elem_41 = elem_47 ),
inference(resolve,[$cnf( $equal(s(elem_49),elem_41) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
elem_41 = elem_47,
inference(resolve,[$cnf( $equal(s(elem_49),elem_47) )],[hyp60,refute_0_633]) ).
cnf(refute_0_635,plain,
( elem_41 != elem_47
| elem_47 = elem_41 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_41)),bind(Y,$fot(elem_47))]]) ).
cnf(refute_0_636,plain,
elem_47 = elem_41,
inference(resolve,[$cnf( $equal(elem_41,elem_47) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
s(elem_47) = s(elem_47),
introduced(tautology,[refl,[$fot(s(elem_47))]]) ).
cnf(refute_0_638,plain,
( elem_47 != elem_41
| s(elem_47) != s(elem_47)
| s(elem_47) = s(elem_41) ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_47),s(elem_47)) ),[1,0],$fot(elem_41)]]) ).
cnf(refute_0_639,plain,
( elem_47 != elem_41
| s(elem_47) = s(elem_41) ),
inference(resolve,[$cnf( $equal(s(elem_47),s(elem_47)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
s(elem_47) = s(elem_41),
inference(resolve,[$cnf( $equal(elem_47,elem_41) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
( s(elem_41) != elem_44
| s(elem_47) != s(elem_41)
| s(elem_47) = elem_44 ),
inference(subst,[],[refute_0_151:[bind(X0,$fot(s(elem_47))),bind(Y,$fot(s(elem_41))),bind(Z,$fot(elem_44))]]) ).
cnf(refute_0_642,plain,
( s(elem_41) != elem_44
| s(elem_47) = elem_44 ),
inference(resolve,[$cnf( $equal(s(elem_47),s(elem_41)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
s(elem_47) = elem_44,
inference(resolve,[$cnf( $equal(s(elem_41),elem_44) )],[refute_0_4,refute_0_642]) ).
cnf(refute_0_644,plain,
( s(elem_47) != elem_44
| s(elem_47) != elem_46
| elem_44 = elem_46 ),
introduced(tautology,[equality,[$cnf( $equal(s(elem_47),elem_46) ),[0],$fot(elem_44)]]) ).
cnf(refute_0_645,plain,
( s(elem_47) != elem_46
| elem_44 = elem_46 ),
inference(resolve,[$cnf( $equal(s(elem_47),elem_44) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
elem_44 = elem_46,
inference(resolve,[$cnf( $equal(s(elem_47),elem_46) )],[hyp59,refute_0_645]) ).
cnf(refute_0_647,plain,
$false,
inference(resolve,[$cnf( $equal(elem_44,elem_46) )],[refute_0_646,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : metis --show proof --show saturation %s
% 0.14/0.37 % Computer : n026.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Wed Jun 15 13:24:22 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.02/11.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.02/11.22
% 11.02/11.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.09/11.27
%------------------------------------------------------------------------------