%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 20:39:03 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 124
% Number of leaves : 138
% Syntax : Number of clauses : 483 ( 229 unt; 0 nHn; 480 RR)
% Number of literals : 843 ( 842 equ; 362 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 37 con; 0-3 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(A,I,E),I) = E ).
cnf(a3,axiom,
store(A,I,select(A,I)) = A ).
cnf(hyp0,hypothesis,
a_29 = store(a1,i1,e_28) ).
cnf(hyp1,hypothesis,
a_31 = store(a2,i1,e_30) ).
cnf(hyp2,hypothesis,
a_33 = store(a_29,i2,e_32) ).
cnf(hyp3,hypothesis,
a_35 = store(a_31,i2,e_34) ).
cnf(hyp4,hypothesis,
a_37 = store(a_33,i3,e_36) ).
cnf(hyp5,hypothesis,
a_39 = store(a_35,i3,e_38) ).
cnf(hyp6,hypothesis,
a_41 = store(a_37,i4,e_40) ).
cnf(hyp7,hypothesis,
a_43 = store(a_39,i4,e_42) ).
cnf(hyp8,hypothesis,
a_45 = store(a_41,i5,e_44) ).
cnf(hyp9,hypothesis,
a_47 = store(a_43,i5,e_46) ).
cnf(hyp10,hypothesis,
a_49 = store(a_45,i6,e_48) ).
cnf(hyp11,hypothesis,
a_51 = store(a_47,i6,e_50) ).
cnf(hyp12,hypothesis,
a_53 = store(a_49,i7,e_52) ).
cnf(hyp13,hypothesis,
a_55 = store(a_51,i7,e_54) ).
cnf(hyp14,hypothesis,
e_28 = select(a2,i1) ).
cnf(hyp15,hypothesis,
e_30 = select(a1,i1) ).
cnf(hyp16,hypothesis,
e_32 = select(a_31,i2) ).
cnf(hyp17,hypothesis,
e_34 = select(a_29,i2) ).
cnf(hyp18,hypothesis,
e_36 = select(a_35,i3) ).
cnf(hyp19,hypothesis,
e_38 = select(a_33,i3) ).
cnf(hyp20,hypothesis,
e_40 = select(a_39,i4) ).
cnf(hyp21,hypothesis,
e_42 = select(a_37,i4) ).
cnf(hyp22,hypothesis,
e_44 = select(a_43,i5) ).
cnf(hyp23,hypothesis,
e_46 = select(a_41,i5) ).
cnf(hyp24,hypothesis,
e_48 = select(a_47,i6) ).
cnf(hyp25,hypothesis,
e_50 = select(a_45,i6) ).
cnf(hyp26,hypothesis,
e_52 = select(a_51,i7) ).
cnf(hyp27,hypothesis,
e_54 = select(a_49,i7) ).
cnf(hyp28,hypothesis,
a_53 = a_55 ).
cnf(goal,negated_conjecture,
a1 != a2 ).
cnf(refute_0_0,plain,
store(a1,i1,select(a1,i1)) = a1,
inference(subst,[],[a3:[bind(A,$fot(a1)),bind(I,$fot(i1))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( e_30 != select(a1,i1)
| select(a1,i1) = e_30 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_30)),bind(Y,$fot(select(a1,i1)))]]) ).
cnf(refute_0_5,plain,
select(a1,i1) = e_30,
inference(resolve,[$cnf( $equal(e_30,select(a1,i1)) )],[hyp15,refute_0_4]) ).
cnf(refute_0_6,plain,
( select(a1,i1) != e_30
| store(a1,i1,select(a1,i1)) != a1
| store(a1,i1,e_30) = a1 ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,select(a1,i1)),a1) ),[0,2],$fot(e_30)]]) ).
cnf(refute_0_7,plain,
( store(a1,i1,select(a1,i1)) != a1
| store(a1,i1,e_30) = a1 ),
inference(resolve,[$cnf( $equal(select(a1,i1),e_30) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
store(a1,i1,e_30) = a1,
inference(resolve,[$cnf( $equal(store(a1,i1,select(a1,i1)),a1) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
store(a_29,i2,select(a_29,i2)) = a_29,
inference(subst,[],[a3:[bind(A,$fot(a_29)),bind(I,$fot(i2))]]) ).
cnf(refute_0_10,plain,
( e_34 != select(a_29,i2)
| select(a_29,i2) = e_34 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_34)),bind(Y,$fot(select(a_29,i2)))]]) ).
cnf(refute_0_11,plain,
select(a_29,i2) = e_34,
inference(resolve,[$cnf( $equal(e_34,select(a_29,i2)) )],[hyp17,refute_0_10]) ).
cnf(refute_0_12,plain,
( select(a_29,i2) != e_34
| store(a_29,i2,select(a_29,i2)) != a_29
| store(a_29,i2,e_34) = a_29 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_29,i2,select(a_29,i2)),a_29) ),[0,2],$fot(e_34)]]) ).
cnf(refute_0_13,plain,
( store(a_29,i2,select(a_29,i2)) != a_29
| store(a_29,i2,e_34) = a_29 ),
inference(resolve,[$cnf( $equal(select(a_29,i2),e_34) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
store(a_29,i2,e_34) = a_29,
inference(resolve,[$cnf( $equal(store(a_29,i2,select(a_29,i2)),a_29) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
store(a_33,i3,select(a_33,i3)) = a_33,
inference(subst,[],[a3:[bind(A,$fot(a_33)),bind(I,$fot(i3))]]) ).
cnf(refute_0_16,plain,
( e_38 != select(a_33,i3)
| select(a_33,i3) = e_38 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_38)),bind(Y,$fot(select(a_33,i3)))]]) ).
cnf(refute_0_17,plain,
select(a_33,i3) = e_38,
inference(resolve,[$cnf( $equal(e_38,select(a_33,i3)) )],[hyp19,refute_0_16]) ).
cnf(refute_0_18,plain,
( select(a_33,i3) != e_38
| store(a_33,i3,select(a_33,i3)) != a_33
| store(a_33,i3,e_38) = a_33 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_33,i3,select(a_33,i3)),a_33) ),[0,2],$fot(e_38)]]) ).
cnf(refute_0_19,plain,
( store(a_33,i3,select(a_33,i3)) != a_33
| store(a_33,i3,e_38) = a_33 ),
inference(resolve,[$cnf( $equal(select(a_33,i3),e_38) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
store(a_33,i3,e_38) = a_33,
inference(resolve,[$cnf( $equal(store(a_33,i3,select(a_33,i3)),a_33) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
store(a_37,i4,select(a_37,i4)) = a_37,
inference(subst,[],[a3:[bind(A,$fot(a_37)),bind(I,$fot(i4))]]) ).
cnf(refute_0_22,plain,
( e_42 != select(a_37,i4)
| select(a_37,i4) = e_42 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_42)),bind(Y,$fot(select(a_37,i4)))]]) ).
cnf(refute_0_23,plain,
select(a_37,i4) = e_42,
inference(resolve,[$cnf( $equal(e_42,select(a_37,i4)) )],[hyp21,refute_0_22]) ).
cnf(refute_0_24,plain,
( select(a_37,i4) != e_42
| store(a_37,i4,select(a_37,i4)) != a_37
| store(a_37,i4,e_42) = a_37 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_37,i4,select(a_37,i4)),a_37) ),[0,2],$fot(e_42)]]) ).
cnf(refute_0_25,plain,
( store(a_37,i4,select(a_37,i4)) != a_37
| store(a_37,i4,e_42) = a_37 ),
inference(resolve,[$cnf( $equal(select(a_37,i4),e_42) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
store(a_37,i4,e_42) = a_37,
inference(resolve,[$cnf( $equal(store(a_37,i4,select(a_37,i4)),a_37) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
store(a_41,i5,select(a_41,i5)) = a_41,
inference(subst,[],[a3:[bind(A,$fot(a_41)),bind(I,$fot(i5))]]) ).
cnf(refute_0_28,plain,
( e_46 != select(a_41,i5)
| select(a_41,i5) = e_46 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_46)),bind(Y,$fot(select(a_41,i5)))]]) ).
cnf(refute_0_29,plain,
select(a_41,i5) = e_46,
inference(resolve,[$cnf( $equal(e_46,select(a_41,i5)) )],[hyp23,refute_0_28]) ).
cnf(refute_0_30,plain,
( select(a_41,i5) != e_46
| store(a_41,i5,select(a_41,i5)) != a_41
| store(a_41,i5,e_46) = a_41 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_41,i5,select(a_41,i5)),a_41) ),[0,2],$fot(e_46)]]) ).
cnf(refute_0_31,plain,
( store(a_41,i5,select(a_41,i5)) != a_41
| store(a_41,i5,e_46) = a_41 ),
inference(resolve,[$cnf( $equal(select(a_41,i5),e_46) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
store(a_41,i5,e_46) = a_41,
inference(resolve,[$cnf( $equal(store(a_41,i5,select(a_41,i5)),a_41) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
store(a_45,i6,select(a_45,i6)) = a_45,
inference(subst,[],[a3:[bind(A,$fot(a_45)),bind(I,$fot(i6))]]) ).
cnf(refute_0_34,plain,
( e_50 != select(a_45,i6)
| select(a_45,i6) = e_50 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_50)),bind(Y,$fot(select(a_45,i6)))]]) ).
cnf(refute_0_35,plain,
select(a_45,i6) = e_50,
inference(resolve,[$cnf( $equal(e_50,select(a_45,i6)) )],[hyp25,refute_0_34]) ).
cnf(refute_0_36,plain,
( select(a_45,i6) != e_50
| store(a_45,i6,select(a_45,i6)) != a_45
| store(a_45,i6,e_50) = a_45 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_45,i6,select(a_45,i6)),a_45) ),[0,2],$fot(e_50)]]) ).
cnf(refute_0_37,plain,
( store(a_45,i6,select(a_45,i6)) != a_45
| store(a_45,i6,e_50) = a_45 ),
inference(resolve,[$cnf( $equal(select(a_45,i6),e_50) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
store(a_45,i6,e_50) = a_45,
inference(resolve,[$cnf( $equal(store(a_45,i6,select(a_45,i6)),a_45) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
store(a_49,i7,select(a_49,i7)) = a_49,
inference(subst,[],[a3:[bind(A,$fot(a_49)),bind(I,$fot(i7))]]) ).
cnf(refute_0_40,plain,
( e_54 != select(a_49,i7)
| select(a_49,i7) = e_54 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_54)),bind(Y,$fot(select(a_49,i7)))]]) ).
cnf(refute_0_41,plain,
select(a_49,i7) = e_54,
inference(resolve,[$cnf( $equal(e_54,select(a_49,i7)) )],[hyp27,refute_0_40]) ).
cnf(refute_0_42,plain,
( select(a_49,i7) != e_54
| store(a_49,i7,select(a_49,i7)) != a_49
| store(a_49,i7,e_54) = a_49 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_49,i7,select(a_49,i7)),a_49) ),[0,2],$fot(e_54)]]) ).
cnf(refute_0_43,plain,
( store(a_49,i7,select(a_49,i7)) != a_49
| store(a_49,i7,e_54) = a_49 ),
inference(resolve,[$cnf( $equal(select(a_49,i7),e_54) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
store(a_49,i7,e_54) = a_49,
inference(resolve,[$cnf( $equal(store(a_49,i7,select(a_49,i7)),a_49) )],[refute_0_39,refute_0_43]) ).
cnf(refute_0_45,plain,
( a_53 != a_55
| a_55 = a_53 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_53)),bind(Y,$fot(a_55))]]) ).
cnf(refute_0_46,plain,
a_55 = a_53,
inference(resolve,[$cnf( $equal(a_53,a_55) )],[hyp28,refute_0_45]) ).
cnf(refute_0_47,plain,
( a_55 != a_53
| a_55 != store(a_51,i7,e_54)
| a_53 = store(a_51,i7,e_54) ),
introduced(tautology,[equality,[$cnf( $equal(a_55,store(a_51,i7,e_54)) ),[0],$fot(a_53)]]) ).
cnf(refute_0_48,plain,
( a_55 != store(a_51,i7,e_54)
| a_53 = store(a_51,i7,e_54) ),
inference(resolve,[$cnf( $equal(a_55,a_53) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
a_53 = store(a_51,i7,e_54),
inference(resolve,[$cnf( $equal(a_55,store(a_51,i7,e_54)) )],[hyp13,refute_0_48]) ).
cnf(refute_0_50,plain,
store(a_51,i7,select(a_51,i7)) = a_51,
inference(subst,[],[a3:[bind(A,$fot(a_51)),bind(I,$fot(i7))]]) ).
cnf(refute_0_51,plain,
( e_52 != select(a_51,i7)
| select(a_51,i7) = e_52 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_52)),bind(Y,$fot(select(a_51,i7)))]]) ).
cnf(refute_0_52,plain,
select(a_51,i7) = e_52,
inference(resolve,[$cnf( $equal(e_52,select(a_51,i7)) )],[hyp26,refute_0_51]) ).
cnf(refute_0_53,plain,
( select(a_51,i7) != e_52
| store(a_51,i7,select(a_51,i7)) != a_51
| store(a_51,i7,e_52) = a_51 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_51,i7,select(a_51,i7)),a_51) ),[0,2],$fot(e_52)]]) ).
cnf(refute_0_54,plain,
( store(a_51,i7,select(a_51,i7)) != a_51
| store(a_51,i7,e_52) = a_51 ),
inference(resolve,[$cnf( $equal(select(a_51,i7),e_52) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
store(a_51,i7,e_52) = a_51,
inference(resolve,[$cnf( $equal(store(a_51,i7,select(a_51,i7)),a_51) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
select(store(a_51,i7,e_54),i7) = e_54,
inference(subst,[],[a1:[bind(A,$fot(a_51)),bind(E,$fot(e_54)),bind(I,$fot(i7))]]) ).
cnf(refute_0_57,plain,
( a_53 != store(a_51,i7,e_54)
| store(a_51,i7,e_54) = a_53 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_53)),bind(Y,$fot(store(a_51,i7,e_54)))]]) ).
cnf(refute_0_58,plain,
store(a_51,i7,e_54) = a_53,
inference(resolve,[$cnf( $equal(a_53,store(a_51,i7,e_54)) )],[refute_0_49,refute_0_57]) ).
cnf(refute_0_59,plain,
( select(store(a_51,i7,e_54),i7) != e_54
| store(a_51,i7,e_54) != a_53
| select(a_53,i7) = e_54 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_51,i7,e_54),i7),e_54) ),[0,0],$fot(a_53)]]) ).
cnf(refute_0_60,plain,
( select(store(a_51,i7,e_54),i7) != e_54
| select(a_53,i7) = e_54 ),
inference(resolve,[$cnf( $equal(store(a_51,i7,e_54),a_53) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
select(a_53,i7) = e_54,
inference(resolve,[$cnf( $equal(select(store(a_51,i7,e_54),i7),e_54) )],[refute_0_56,refute_0_60]) ).
cnf(refute_0_62,plain,
select(store(a_49,i7,e_52),i7) = e_52,
inference(subst,[],[a1:[bind(A,$fot(a_49)),bind(E,$fot(e_52)),bind(I,$fot(i7))]]) ).
cnf(refute_0_63,plain,
( a_53 != store(a_49,i7,e_52)
| store(a_49,i7,e_52) = a_53 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_53)),bind(Y,$fot(store(a_49,i7,e_52)))]]) ).
cnf(refute_0_64,plain,
store(a_49,i7,e_52) = a_53,
inference(resolve,[$cnf( $equal(a_53,store(a_49,i7,e_52)) )],[hyp12,refute_0_63]) ).
cnf(refute_0_65,plain,
( select(store(a_49,i7,e_52),i7) != e_52
| store(a_49,i7,e_52) != a_53
| select(a_53,i7) = e_52 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_49,i7,e_52),i7),e_52) ),[0,0],$fot(a_53)]]) ).
cnf(refute_0_66,plain,
( select(store(a_49,i7,e_52),i7) != e_52
| select(a_53,i7) = e_52 ),
inference(resolve,[$cnf( $equal(store(a_49,i7,e_52),a_53) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
select(a_53,i7) = e_52,
inference(resolve,[$cnf( $equal(select(store(a_49,i7,e_52),i7),e_52) )],[refute_0_62,refute_0_66]) ).
cnf(refute_0_68,plain,
( select(a_53,i7) != e_52
| select(a_53,i7) != e_54
| e_52 = e_54 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_53,i7),e_54) ),[0],$fot(e_52)]]) ).
cnf(refute_0_69,plain,
( select(a_53,i7) != e_54
| e_52 = e_54 ),
inference(resolve,[$cnf( $equal(select(a_53,i7),e_52) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
e_52 = e_54,
inference(resolve,[$cnf( $equal(select(a_53,i7),e_54) )],[refute_0_61,refute_0_69]) ).
cnf(refute_0_71,plain,
( e_52 != e_54
| e_54 = e_52 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_52)),bind(Y,$fot(e_54))]]) ).
cnf(refute_0_72,plain,
e_54 = e_52,
inference(resolve,[$cnf( $equal(e_52,e_54) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
store(a_51,i7,e_54) = store(a_51,i7,e_54),
introduced(tautology,[refl,[$fot(store(a_51,i7,e_54))]]) ).
cnf(refute_0_74,plain,
( e_54 != e_52
| store(a_51,i7,e_54) != store(a_51,i7,e_54)
| store(a_51,i7,e_54) = store(a_51,i7,e_52) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_51,i7,e_54),store(a_51,i7,e_54)) ),[1,2],$fot(e_52)]]) ).
cnf(refute_0_75,plain,
( e_54 != e_52
| store(a_51,i7,e_54) = store(a_51,i7,e_52) ),
inference(resolve,[$cnf( $equal(store(a_51,i7,e_54),store(a_51,i7,e_54)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
store(a_51,i7,e_54) = store(a_51,i7,e_52),
inference(resolve,[$cnf( $equal(e_54,e_52) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_78,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_77]) ).
cnf(refute_0_79,plain,
( store(a_51,i7,e_52) != a_51
| store(a_51,i7,e_54) != store(a_51,i7,e_52)
| store(a_51,i7,e_54) = a_51 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_51,i7,e_54))),bind(Y,$fot(store(a_51,i7,e_52))),bind(Z,$fot(a_51))]]) ).
cnf(refute_0_80,plain,
( store(a_51,i7,e_52) != a_51
| store(a_51,i7,e_54) = a_51 ),
inference(resolve,[$cnf( $equal(store(a_51,i7,e_54),store(a_51,i7,e_52)) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
store(a_51,i7,e_54) = a_51,
inference(resolve,[$cnf( $equal(store(a_51,i7,e_52),a_51) )],[refute_0_55,refute_0_80]) ).
cnf(refute_0_82,plain,
( a_53 != store(a_51,i7,e_54)
| store(a_51,i7,e_54) != a_51
| a_53 = a_51 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_53,a_51) ),[0],$fot(store(a_51,i7,e_54))]]) ).
cnf(refute_0_83,plain,
( a_53 != store(a_51,i7,e_54)
| a_53 = a_51 ),
inference(resolve,[$cnf( $equal(store(a_51,i7,e_54),a_51) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
a_53 = a_51,
inference(resolve,[$cnf( $equal(a_53,store(a_51,i7,e_54)) )],[refute_0_49,refute_0_83]) ).
cnf(refute_0_85,plain,
( a_53 != a_51
| a_53 != store(a_49,i7,e_52)
| a_51 = store(a_49,i7,e_52) ),
introduced(tautology,[equality,[$cnf( $equal(a_53,store(a_49,i7,e_52)) ),[0],$fot(a_51)]]) ).
cnf(refute_0_86,plain,
( a_53 != store(a_49,i7,e_52)
| a_51 = store(a_49,i7,e_52) ),
inference(resolve,[$cnf( $equal(a_53,a_51) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
a_51 = store(a_49,i7,e_52),
inference(resolve,[$cnf( $equal(a_53,store(a_49,i7,e_52)) )],[hyp12,refute_0_86]) ).
cnf(refute_0_88,plain,
( a_51 != store(a_49,i7,e_52)
| store(a_49,i7,e_52) = a_51 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_51)),bind(Y,$fot(store(a_49,i7,e_52)))]]) ).
cnf(refute_0_89,plain,
store(a_49,i7,e_52) = a_51,
inference(resolve,[$cnf( $equal(a_51,store(a_49,i7,e_52)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
store(a_49,i7,e_54) = store(a_49,i7,e_54),
introduced(tautology,[refl,[$fot(store(a_49,i7,e_54))]]) ).
cnf(refute_0_91,plain,
( e_54 != e_52
| store(a_49,i7,e_54) != store(a_49,i7,e_54)
| store(a_49,i7,e_54) = store(a_49,i7,e_52) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_49,i7,e_54),store(a_49,i7,e_54)) ),[1,2],$fot(e_52)]]) ).
cnf(refute_0_92,plain,
( e_54 != e_52
| store(a_49,i7,e_54) = store(a_49,i7,e_52) ),
inference(resolve,[$cnf( $equal(store(a_49,i7,e_54),store(a_49,i7,e_54)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
store(a_49,i7,e_54) = store(a_49,i7,e_52),
inference(resolve,[$cnf( $equal(e_54,e_52) )],[refute_0_72,refute_0_92]) ).
cnf(refute_0_94,plain,
( store(a_49,i7,e_52) != a_51
| store(a_49,i7,e_54) != store(a_49,i7,e_52)
| store(a_49,i7,e_54) = a_51 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_49,i7,e_54))),bind(Y,$fot(store(a_49,i7,e_52))),bind(Z,$fot(a_51))]]) ).
cnf(refute_0_95,plain,
( store(a_49,i7,e_52) != a_51
| store(a_49,i7,e_54) = a_51 ),
inference(resolve,[$cnf( $equal(store(a_49,i7,e_54),store(a_49,i7,e_52)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
store(a_49,i7,e_54) = a_51,
inference(resolve,[$cnf( $equal(store(a_49,i7,e_52),a_51) )],[refute_0_89,refute_0_95]) ).
cnf(refute_0_97,plain,
( store(a_49,i7,e_54) != a_49
| store(a_49,i7,e_54) != a_51
| a_51 = a_49 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_49,i7,e_54),a_49) ),[0],$fot(a_51)]]) ).
cnf(refute_0_98,plain,
( store(a_49,i7,e_54) != a_49
| a_51 = a_49 ),
inference(resolve,[$cnf( $equal(store(a_49,i7,e_54),a_51) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
a_51 = a_49,
inference(resolve,[$cnf( $equal(store(a_49,i7,e_54),a_49) )],[refute_0_44,refute_0_98]) ).
cnf(refute_0_100,plain,
( a_51 != a_49
| a_51 != store(a_47,i6,e_50)
| a_49 = store(a_47,i6,e_50) ),
introduced(tautology,[equality,[$cnf( $equal(a_51,store(a_47,i6,e_50)) ),[0],$fot(a_49)]]) ).
cnf(refute_0_101,plain,
( a_51 != store(a_47,i6,e_50)
| a_49 = store(a_47,i6,e_50) ),
inference(resolve,[$cnf( $equal(a_51,a_49) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
a_49 = store(a_47,i6,e_50),
inference(resolve,[$cnf( $equal(a_51,store(a_47,i6,e_50)) )],[hyp11,refute_0_101]) ).
cnf(refute_0_103,plain,
store(a_47,i6,select(a_47,i6)) = a_47,
inference(subst,[],[a3:[bind(A,$fot(a_47)),bind(I,$fot(i6))]]) ).
cnf(refute_0_104,plain,
( e_48 != select(a_47,i6)
| select(a_47,i6) = e_48 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_48)),bind(Y,$fot(select(a_47,i6)))]]) ).
cnf(refute_0_105,plain,
select(a_47,i6) = e_48,
inference(resolve,[$cnf( $equal(e_48,select(a_47,i6)) )],[hyp24,refute_0_104]) ).
cnf(refute_0_106,plain,
( select(a_47,i6) != e_48
| store(a_47,i6,select(a_47,i6)) != a_47
| store(a_47,i6,e_48) = a_47 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_47,i6,select(a_47,i6)),a_47) ),[0,2],$fot(e_48)]]) ).
cnf(refute_0_107,plain,
( store(a_47,i6,select(a_47,i6)) != a_47
| store(a_47,i6,e_48) = a_47 ),
inference(resolve,[$cnf( $equal(select(a_47,i6),e_48) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
store(a_47,i6,e_48) = a_47,
inference(resolve,[$cnf( $equal(store(a_47,i6,select(a_47,i6)),a_47) )],[refute_0_103,refute_0_107]) ).
cnf(refute_0_109,plain,
select(store(a_47,i6,e_50),i6) = e_50,
inference(subst,[],[a1:[bind(A,$fot(a_47)),bind(E,$fot(e_50)),bind(I,$fot(i6))]]) ).
cnf(refute_0_110,plain,
( a_51 != store(a_47,i6,e_50)
| store(a_47,i6,e_50) = a_51 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_51)),bind(Y,$fot(store(a_47,i6,e_50)))]]) ).
cnf(refute_0_111,plain,
store(a_47,i6,e_50) = a_51,
inference(resolve,[$cnf( $equal(a_51,store(a_47,i6,e_50)) )],[hyp11,refute_0_110]) ).
cnf(refute_0_112,plain,
( select(store(a_47,i6,e_50),i6) != e_50
| store(a_47,i6,e_50) != a_51
| select(a_51,i6) = e_50 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_47,i6,e_50),i6),e_50) ),[0,0],$fot(a_51)]]) ).
cnf(refute_0_113,plain,
( select(store(a_47,i6,e_50),i6) != e_50
| select(a_51,i6) = e_50 ),
inference(resolve,[$cnf( $equal(store(a_47,i6,e_50),a_51) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
select(a_51,i6) = e_50,
inference(resolve,[$cnf( $equal(select(store(a_47,i6,e_50),i6),e_50) )],[refute_0_109,refute_0_113]) ).
cnf(refute_0_115,plain,
select(store(a_45,i6,e_48),i6) = e_48,
inference(subst,[],[a1:[bind(A,$fot(a_45)),bind(E,$fot(e_48)),bind(I,$fot(i6))]]) ).
cnf(refute_0_116,plain,
( a_49 != store(a_45,i6,e_48)
| store(a_45,i6,e_48) = a_49 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_49)),bind(Y,$fot(store(a_45,i6,e_48)))]]) ).
cnf(refute_0_117,plain,
store(a_45,i6,e_48) = a_49,
inference(resolve,[$cnf( $equal(a_49,store(a_45,i6,e_48)) )],[hyp10,refute_0_116]) ).
cnf(refute_0_118,plain,
( select(store(a_45,i6,e_48),i6) != e_48
| store(a_45,i6,e_48) != a_49
| select(a_49,i6) = e_48 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_45,i6,e_48),i6),e_48) ),[0,0],$fot(a_49)]]) ).
cnf(refute_0_119,plain,
( select(store(a_45,i6,e_48),i6) != e_48
| select(a_49,i6) = e_48 ),
inference(resolve,[$cnf( $equal(store(a_45,i6,e_48),a_49) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
select(a_49,i6) = e_48,
inference(resolve,[$cnf( $equal(select(store(a_45,i6,e_48),i6),e_48) )],[refute_0_115,refute_0_119]) ).
cnf(refute_0_121,plain,
select(a_51,i6) = select(a_51,i6),
introduced(tautology,[refl,[$fot(select(a_51,i6))]]) ).
cnf(refute_0_122,plain,
( a_51 != a_49
| select(a_51,i6) != select(a_51,i6)
| select(a_51,i6) = select(a_49,i6) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_51,i6),select(a_51,i6)) ),[1,0],$fot(a_49)]]) ).
cnf(refute_0_123,plain,
( a_51 != a_49
| select(a_51,i6) = select(a_49,i6) ),
inference(resolve,[$cnf( $equal(select(a_51,i6),select(a_51,i6)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
select(a_51,i6) = select(a_49,i6),
inference(resolve,[$cnf( $equal(a_51,a_49) )],[refute_0_99,refute_0_123]) ).
cnf(refute_0_125,plain,
( select(a_49,i6) != e_48
| select(a_51,i6) != select(a_49,i6)
| select(a_51,i6) = e_48 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_51,i6))),bind(Y,$fot(select(a_49,i6))),bind(Z,$fot(e_48))]]) ).
cnf(refute_0_126,plain,
( select(a_49,i6) != e_48
| select(a_51,i6) = e_48 ),
inference(resolve,[$cnf( $equal(select(a_51,i6),select(a_49,i6)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
select(a_51,i6) = e_48,
inference(resolve,[$cnf( $equal(select(a_49,i6),e_48) )],[refute_0_120,refute_0_126]) ).
cnf(refute_0_128,plain,
( select(a_51,i6) != e_48
| select(a_51,i6) != e_50
| e_48 = e_50 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_51,i6),e_50) ),[0],$fot(e_48)]]) ).
cnf(refute_0_129,plain,
( select(a_51,i6) != e_50
| e_48 = e_50 ),
inference(resolve,[$cnf( $equal(select(a_51,i6),e_48) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
e_48 = e_50,
inference(resolve,[$cnf( $equal(select(a_51,i6),e_50) )],[refute_0_114,refute_0_129]) ).
cnf(refute_0_131,plain,
( e_48 != e_50
| e_50 = e_48 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_48)),bind(Y,$fot(e_50))]]) ).
cnf(refute_0_132,plain,
e_50 = e_48,
inference(resolve,[$cnf( $equal(e_48,e_50) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
store(a_47,i6,e_50) = store(a_47,i6,e_50),
introduced(tautology,[refl,[$fot(store(a_47,i6,e_50))]]) ).
cnf(refute_0_134,plain,
( e_50 != e_48
| store(a_47,i6,e_50) != store(a_47,i6,e_50)
| store(a_47,i6,e_50) = store(a_47,i6,e_48) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_47,i6,e_50),store(a_47,i6,e_50)) ),[1,2],$fot(e_48)]]) ).
cnf(refute_0_135,plain,
( e_50 != e_48
| store(a_47,i6,e_50) = store(a_47,i6,e_48) ),
inference(resolve,[$cnf( $equal(store(a_47,i6,e_50),store(a_47,i6,e_50)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
store(a_47,i6,e_50) = store(a_47,i6,e_48),
inference(resolve,[$cnf( $equal(e_50,e_48) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
( store(a_47,i6,e_48) != a_47
| store(a_47,i6,e_50) != store(a_47,i6,e_48)
| store(a_47,i6,e_50) = a_47 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_47,i6,e_50))),bind(Y,$fot(store(a_47,i6,e_48))),bind(Z,$fot(a_47))]]) ).
cnf(refute_0_138,plain,
( store(a_47,i6,e_48) != a_47
| store(a_47,i6,e_50) = a_47 ),
inference(resolve,[$cnf( $equal(store(a_47,i6,e_50),store(a_47,i6,e_48)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
store(a_47,i6,e_50) = a_47,
inference(resolve,[$cnf( $equal(store(a_47,i6,e_48),a_47) )],[refute_0_108,refute_0_138]) ).
cnf(refute_0_140,plain,
( a_49 != store(a_47,i6,e_50)
| store(a_47,i6,e_50) != a_47
| a_49 = a_47 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_49,a_47) ),[0],$fot(store(a_47,i6,e_50))]]) ).
cnf(refute_0_141,plain,
( a_49 != store(a_47,i6,e_50)
| a_49 = a_47 ),
inference(resolve,[$cnf( $equal(store(a_47,i6,e_50),a_47) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
a_49 = a_47,
inference(resolve,[$cnf( $equal(a_49,store(a_47,i6,e_50)) )],[refute_0_102,refute_0_141]) ).
cnf(refute_0_143,plain,
( a_49 != a_47
| a_49 != store(a_45,i6,e_48)
| a_47 = store(a_45,i6,e_48) ),
introduced(tautology,[equality,[$cnf( $equal(a_49,store(a_45,i6,e_48)) ),[0],$fot(a_47)]]) ).
cnf(refute_0_144,plain,
( a_49 != store(a_45,i6,e_48)
| a_47 = store(a_45,i6,e_48) ),
inference(resolve,[$cnf( $equal(a_49,a_47) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
a_47 = store(a_45,i6,e_48),
inference(resolve,[$cnf( $equal(a_49,store(a_45,i6,e_48)) )],[hyp10,refute_0_144]) ).
cnf(refute_0_146,plain,
( a_47 != store(a_45,i6,e_48)
| store(a_45,i6,e_48) = a_47 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_47)),bind(Y,$fot(store(a_45,i6,e_48)))]]) ).
cnf(refute_0_147,plain,
store(a_45,i6,e_48) = a_47,
inference(resolve,[$cnf( $equal(a_47,store(a_45,i6,e_48)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
store(a_45,i6,e_50) = store(a_45,i6,e_50),
introduced(tautology,[refl,[$fot(store(a_45,i6,e_50))]]) ).
cnf(refute_0_149,plain,
( e_50 != e_48
| store(a_45,i6,e_50) != store(a_45,i6,e_50)
| store(a_45,i6,e_50) = store(a_45,i6,e_48) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_45,i6,e_50),store(a_45,i6,e_50)) ),[1,2],$fot(e_48)]]) ).
cnf(refute_0_150,plain,
( e_50 != e_48
| store(a_45,i6,e_50) = store(a_45,i6,e_48) ),
inference(resolve,[$cnf( $equal(store(a_45,i6,e_50),store(a_45,i6,e_50)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
store(a_45,i6,e_50) = store(a_45,i6,e_48),
inference(resolve,[$cnf( $equal(e_50,e_48) )],[refute_0_132,refute_0_150]) ).
cnf(refute_0_152,plain,
( store(a_45,i6,e_48) != a_47
| store(a_45,i6,e_50) != store(a_45,i6,e_48)
| store(a_45,i6,e_50) = a_47 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_45,i6,e_50))),bind(Y,$fot(store(a_45,i6,e_48))),bind(Z,$fot(a_47))]]) ).
cnf(refute_0_153,plain,
( store(a_45,i6,e_48) != a_47
| store(a_45,i6,e_50) = a_47 ),
inference(resolve,[$cnf( $equal(store(a_45,i6,e_50),store(a_45,i6,e_48)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
store(a_45,i6,e_50) = a_47,
inference(resolve,[$cnf( $equal(store(a_45,i6,e_48),a_47) )],[refute_0_147,refute_0_153]) ).
cnf(refute_0_155,plain,
( store(a_45,i6,e_50) != a_45
| store(a_45,i6,e_50) != a_47
| a_47 = a_45 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_45,i6,e_50),a_45) ),[0],$fot(a_47)]]) ).
cnf(refute_0_156,plain,
( store(a_45,i6,e_50) != a_45
| a_47 = a_45 ),
inference(resolve,[$cnf( $equal(store(a_45,i6,e_50),a_47) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
a_47 = a_45,
inference(resolve,[$cnf( $equal(store(a_45,i6,e_50),a_45) )],[refute_0_38,refute_0_156]) ).
cnf(refute_0_158,plain,
( a_47 != a_45
| a_47 != store(a_43,i5,e_46)
| a_45 = store(a_43,i5,e_46) ),
introduced(tautology,[equality,[$cnf( $equal(a_47,store(a_43,i5,e_46)) ),[0],$fot(a_45)]]) ).
cnf(refute_0_159,plain,
( a_47 != store(a_43,i5,e_46)
| a_45 = store(a_43,i5,e_46) ),
inference(resolve,[$cnf( $equal(a_47,a_45) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
a_45 = store(a_43,i5,e_46),
inference(resolve,[$cnf( $equal(a_47,store(a_43,i5,e_46)) )],[hyp9,refute_0_159]) ).
cnf(refute_0_161,plain,
store(a_43,i5,select(a_43,i5)) = a_43,
inference(subst,[],[a3:[bind(A,$fot(a_43)),bind(I,$fot(i5))]]) ).
cnf(refute_0_162,plain,
( e_44 != select(a_43,i5)
| select(a_43,i5) = e_44 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_44)),bind(Y,$fot(select(a_43,i5)))]]) ).
cnf(refute_0_163,plain,
select(a_43,i5) = e_44,
inference(resolve,[$cnf( $equal(e_44,select(a_43,i5)) )],[hyp22,refute_0_162]) ).
cnf(refute_0_164,plain,
( select(a_43,i5) != e_44
| store(a_43,i5,select(a_43,i5)) != a_43
| store(a_43,i5,e_44) = a_43 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_43,i5,select(a_43,i5)),a_43) ),[0,2],$fot(e_44)]]) ).
cnf(refute_0_165,plain,
( store(a_43,i5,select(a_43,i5)) != a_43
| store(a_43,i5,e_44) = a_43 ),
inference(resolve,[$cnf( $equal(select(a_43,i5),e_44) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
store(a_43,i5,e_44) = a_43,
inference(resolve,[$cnf( $equal(store(a_43,i5,select(a_43,i5)),a_43) )],[refute_0_161,refute_0_165]) ).
cnf(refute_0_167,plain,
select(store(a_43,i5,e_46),i5) = e_46,
inference(subst,[],[a1:[bind(A,$fot(a_43)),bind(E,$fot(e_46)),bind(I,$fot(i5))]]) ).
cnf(refute_0_168,plain,
( a_47 != store(a_43,i5,e_46)
| store(a_43,i5,e_46) = a_47 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_47)),bind(Y,$fot(store(a_43,i5,e_46)))]]) ).
cnf(refute_0_169,plain,
store(a_43,i5,e_46) = a_47,
inference(resolve,[$cnf( $equal(a_47,store(a_43,i5,e_46)) )],[hyp9,refute_0_168]) ).
cnf(refute_0_170,plain,
( select(store(a_43,i5,e_46),i5) != e_46
| store(a_43,i5,e_46) != a_47
| select(a_47,i5) = e_46 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_43,i5,e_46),i5),e_46) ),[0,0],$fot(a_47)]]) ).
cnf(refute_0_171,plain,
( select(store(a_43,i5,e_46),i5) != e_46
| select(a_47,i5) = e_46 ),
inference(resolve,[$cnf( $equal(store(a_43,i5,e_46),a_47) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
select(a_47,i5) = e_46,
inference(resolve,[$cnf( $equal(select(store(a_43,i5,e_46),i5),e_46) )],[refute_0_167,refute_0_171]) ).
cnf(refute_0_173,plain,
select(store(a_41,i5,e_44),i5) = e_44,
inference(subst,[],[a1:[bind(A,$fot(a_41)),bind(E,$fot(e_44)),bind(I,$fot(i5))]]) ).
cnf(refute_0_174,plain,
( a_45 != store(a_41,i5,e_44)
| store(a_41,i5,e_44) = a_45 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_45)),bind(Y,$fot(store(a_41,i5,e_44)))]]) ).
cnf(refute_0_175,plain,
store(a_41,i5,e_44) = a_45,
inference(resolve,[$cnf( $equal(a_45,store(a_41,i5,e_44)) )],[hyp8,refute_0_174]) ).
cnf(refute_0_176,plain,
( select(store(a_41,i5,e_44),i5) != e_44
| store(a_41,i5,e_44) != a_45
| select(a_45,i5) = e_44 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_41,i5,e_44),i5),e_44) ),[0,0],$fot(a_45)]]) ).
cnf(refute_0_177,plain,
( select(store(a_41,i5,e_44),i5) != e_44
| select(a_45,i5) = e_44 ),
inference(resolve,[$cnf( $equal(store(a_41,i5,e_44),a_45) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
select(a_45,i5) = e_44,
inference(resolve,[$cnf( $equal(select(store(a_41,i5,e_44),i5),e_44) )],[refute_0_173,refute_0_177]) ).
cnf(refute_0_179,plain,
select(a_47,i5) = select(a_47,i5),
introduced(tautology,[refl,[$fot(select(a_47,i5))]]) ).
cnf(refute_0_180,plain,
( a_47 != a_45
| select(a_47,i5) != select(a_47,i5)
| select(a_47,i5) = select(a_45,i5) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_47,i5),select(a_47,i5)) ),[1,0],$fot(a_45)]]) ).
cnf(refute_0_181,plain,
( a_47 != a_45
| select(a_47,i5) = select(a_45,i5) ),
inference(resolve,[$cnf( $equal(select(a_47,i5),select(a_47,i5)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
select(a_47,i5) = select(a_45,i5),
inference(resolve,[$cnf( $equal(a_47,a_45) )],[refute_0_157,refute_0_181]) ).
cnf(refute_0_183,plain,
( select(a_45,i5) != e_44
| select(a_47,i5) != select(a_45,i5)
| select(a_47,i5) = e_44 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_47,i5))),bind(Y,$fot(select(a_45,i5))),bind(Z,$fot(e_44))]]) ).
cnf(refute_0_184,plain,
( select(a_45,i5) != e_44
| select(a_47,i5) = e_44 ),
inference(resolve,[$cnf( $equal(select(a_47,i5),select(a_45,i5)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
select(a_47,i5) = e_44,
inference(resolve,[$cnf( $equal(select(a_45,i5),e_44) )],[refute_0_178,refute_0_184]) ).
cnf(refute_0_186,plain,
( select(a_47,i5) != e_44
| select(a_47,i5) != e_46
| e_44 = e_46 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_47,i5),e_46) ),[0],$fot(e_44)]]) ).
cnf(refute_0_187,plain,
( select(a_47,i5) != e_46
| e_44 = e_46 ),
inference(resolve,[$cnf( $equal(select(a_47,i5),e_44) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
e_44 = e_46,
inference(resolve,[$cnf( $equal(select(a_47,i5),e_46) )],[refute_0_172,refute_0_187]) ).
cnf(refute_0_189,plain,
( e_44 != e_46
| e_46 = e_44 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_44)),bind(Y,$fot(e_46))]]) ).
cnf(refute_0_190,plain,
e_46 = e_44,
inference(resolve,[$cnf( $equal(e_44,e_46) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
store(a_43,i5,e_46) = store(a_43,i5,e_46),
introduced(tautology,[refl,[$fot(store(a_43,i5,e_46))]]) ).
cnf(refute_0_192,plain,
( e_46 != e_44
| store(a_43,i5,e_46) != store(a_43,i5,e_46)
| store(a_43,i5,e_46) = store(a_43,i5,e_44) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_43,i5,e_46),store(a_43,i5,e_46)) ),[1,2],$fot(e_44)]]) ).
cnf(refute_0_193,plain,
( e_46 != e_44
| store(a_43,i5,e_46) = store(a_43,i5,e_44) ),
inference(resolve,[$cnf( $equal(store(a_43,i5,e_46),store(a_43,i5,e_46)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
store(a_43,i5,e_46) = store(a_43,i5,e_44),
inference(resolve,[$cnf( $equal(e_46,e_44) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( store(a_43,i5,e_44) != a_43
| store(a_43,i5,e_46) != store(a_43,i5,e_44)
| store(a_43,i5,e_46) = a_43 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_43,i5,e_46))),bind(Y,$fot(store(a_43,i5,e_44))),bind(Z,$fot(a_43))]]) ).
cnf(refute_0_196,plain,
( store(a_43,i5,e_44) != a_43
| store(a_43,i5,e_46) = a_43 ),
inference(resolve,[$cnf( $equal(store(a_43,i5,e_46),store(a_43,i5,e_44)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
store(a_43,i5,e_46) = a_43,
inference(resolve,[$cnf( $equal(store(a_43,i5,e_44),a_43) )],[refute_0_166,refute_0_196]) ).
cnf(refute_0_198,plain,
( a_45 != store(a_43,i5,e_46)
| store(a_43,i5,e_46) != a_43
| a_45 = a_43 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_45,a_43) ),[0],$fot(store(a_43,i5,e_46))]]) ).
cnf(refute_0_199,plain,
( a_45 != store(a_43,i5,e_46)
| a_45 = a_43 ),
inference(resolve,[$cnf( $equal(store(a_43,i5,e_46),a_43) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
a_45 = a_43,
inference(resolve,[$cnf( $equal(a_45,store(a_43,i5,e_46)) )],[refute_0_160,refute_0_199]) ).
cnf(refute_0_201,plain,
( a_45 != a_43
| a_45 != store(a_41,i5,e_44)
| a_43 = store(a_41,i5,e_44) ),
introduced(tautology,[equality,[$cnf( $equal(a_45,store(a_41,i5,e_44)) ),[0],$fot(a_43)]]) ).
cnf(refute_0_202,plain,
( a_45 != store(a_41,i5,e_44)
| a_43 = store(a_41,i5,e_44) ),
inference(resolve,[$cnf( $equal(a_45,a_43) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
a_43 = store(a_41,i5,e_44),
inference(resolve,[$cnf( $equal(a_45,store(a_41,i5,e_44)) )],[hyp8,refute_0_202]) ).
cnf(refute_0_204,plain,
( a_43 != store(a_41,i5,e_44)
| store(a_41,i5,e_44) = a_43 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_43)),bind(Y,$fot(store(a_41,i5,e_44)))]]) ).
cnf(refute_0_205,plain,
store(a_41,i5,e_44) = a_43,
inference(resolve,[$cnf( $equal(a_43,store(a_41,i5,e_44)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
store(a_41,i5,e_46) = store(a_41,i5,e_46),
introduced(tautology,[refl,[$fot(store(a_41,i5,e_46))]]) ).
cnf(refute_0_207,plain,
( e_46 != e_44
| store(a_41,i5,e_46) != store(a_41,i5,e_46)
| store(a_41,i5,e_46) = store(a_41,i5,e_44) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_41,i5,e_46),store(a_41,i5,e_46)) ),[1,2],$fot(e_44)]]) ).
cnf(refute_0_208,plain,
( e_46 != e_44
| store(a_41,i5,e_46) = store(a_41,i5,e_44) ),
inference(resolve,[$cnf( $equal(store(a_41,i5,e_46),store(a_41,i5,e_46)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
store(a_41,i5,e_46) = store(a_41,i5,e_44),
inference(resolve,[$cnf( $equal(e_46,e_44) )],[refute_0_190,refute_0_208]) ).
cnf(refute_0_210,plain,
( store(a_41,i5,e_44) != a_43
| store(a_41,i5,e_46) != store(a_41,i5,e_44)
| store(a_41,i5,e_46) = a_43 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_41,i5,e_46))),bind(Y,$fot(store(a_41,i5,e_44))),bind(Z,$fot(a_43))]]) ).
cnf(refute_0_211,plain,
( store(a_41,i5,e_44) != a_43
| store(a_41,i5,e_46) = a_43 ),
inference(resolve,[$cnf( $equal(store(a_41,i5,e_46),store(a_41,i5,e_44)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
store(a_41,i5,e_46) = a_43,
inference(resolve,[$cnf( $equal(store(a_41,i5,e_44),a_43) )],[refute_0_205,refute_0_211]) ).
cnf(refute_0_213,plain,
( store(a_41,i5,e_46) != a_41
| store(a_41,i5,e_46) != a_43
| a_43 = a_41 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_41,i5,e_46),a_41) ),[0],$fot(a_43)]]) ).
cnf(refute_0_214,plain,
( store(a_41,i5,e_46) != a_41
| a_43 = a_41 ),
inference(resolve,[$cnf( $equal(store(a_41,i5,e_46),a_43) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
a_43 = a_41,
inference(resolve,[$cnf( $equal(store(a_41,i5,e_46),a_41) )],[refute_0_32,refute_0_214]) ).
cnf(refute_0_216,plain,
( a_43 != a_41
| a_43 != store(a_39,i4,e_42)
| a_41 = store(a_39,i4,e_42) ),
introduced(tautology,[equality,[$cnf( $equal(a_43,store(a_39,i4,e_42)) ),[0],$fot(a_41)]]) ).
cnf(refute_0_217,plain,
( a_43 != store(a_39,i4,e_42)
| a_41 = store(a_39,i4,e_42) ),
inference(resolve,[$cnf( $equal(a_43,a_41) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
a_41 = store(a_39,i4,e_42),
inference(resolve,[$cnf( $equal(a_43,store(a_39,i4,e_42)) )],[hyp7,refute_0_217]) ).
cnf(refute_0_219,plain,
store(a_39,i4,select(a_39,i4)) = a_39,
inference(subst,[],[a3:[bind(A,$fot(a_39)),bind(I,$fot(i4))]]) ).
cnf(refute_0_220,plain,
( e_40 != select(a_39,i4)
| select(a_39,i4) = e_40 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_40)),bind(Y,$fot(select(a_39,i4)))]]) ).
cnf(refute_0_221,plain,
select(a_39,i4) = e_40,
inference(resolve,[$cnf( $equal(e_40,select(a_39,i4)) )],[hyp20,refute_0_220]) ).
cnf(refute_0_222,plain,
( select(a_39,i4) != e_40
| store(a_39,i4,select(a_39,i4)) != a_39
| store(a_39,i4,e_40) = a_39 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_39,i4,select(a_39,i4)),a_39) ),[0,2],$fot(e_40)]]) ).
cnf(refute_0_223,plain,
( store(a_39,i4,select(a_39,i4)) != a_39
| store(a_39,i4,e_40) = a_39 ),
inference(resolve,[$cnf( $equal(select(a_39,i4),e_40) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
store(a_39,i4,e_40) = a_39,
inference(resolve,[$cnf( $equal(store(a_39,i4,select(a_39,i4)),a_39) )],[refute_0_219,refute_0_223]) ).
cnf(refute_0_225,plain,
select(store(a_39,i4,e_42),i4) = e_42,
inference(subst,[],[a1:[bind(A,$fot(a_39)),bind(E,$fot(e_42)),bind(I,$fot(i4))]]) ).
cnf(refute_0_226,plain,
( a_43 != store(a_39,i4,e_42)
| store(a_39,i4,e_42) = a_43 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_43)),bind(Y,$fot(store(a_39,i4,e_42)))]]) ).
cnf(refute_0_227,plain,
store(a_39,i4,e_42) = a_43,
inference(resolve,[$cnf( $equal(a_43,store(a_39,i4,e_42)) )],[hyp7,refute_0_226]) ).
cnf(refute_0_228,plain,
( select(store(a_39,i4,e_42),i4) != e_42
| store(a_39,i4,e_42) != a_43
| select(a_43,i4) = e_42 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_39,i4,e_42),i4),e_42) ),[0,0],$fot(a_43)]]) ).
cnf(refute_0_229,plain,
( select(store(a_39,i4,e_42),i4) != e_42
| select(a_43,i4) = e_42 ),
inference(resolve,[$cnf( $equal(store(a_39,i4,e_42),a_43) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
select(a_43,i4) = e_42,
inference(resolve,[$cnf( $equal(select(store(a_39,i4,e_42),i4),e_42) )],[refute_0_225,refute_0_229]) ).
cnf(refute_0_231,plain,
select(store(a_37,i4,e_40),i4) = e_40,
inference(subst,[],[a1:[bind(A,$fot(a_37)),bind(E,$fot(e_40)),bind(I,$fot(i4))]]) ).
cnf(refute_0_232,plain,
( a_41 != store(a_37,i4,e_40)
| store(a_37,i4,e_40) = a_41 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_41)),bind(Y,$fot(store(a_37,i4,e_40)))]]) ).
cnf(refute_0_233,plain,
store(a_37,i4,e_40) = a_41,
inference(resolve,[$cnf( $equal(a_41,store(a_37,i4,e_40)) )],[hyp6,refute_0_232]) ).
cnf(refute_0_234,plain,
( select(store(a_37,i4,e_40),i4) != e_40
| store(a_37,i4,e_40) != a_41
| select(a_41,i4) = e_40 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_37,i4,e_40),i4),e_40) ),[0,0],$fot(a_41)]]) ).
cnf(refute_0_235,plain,
( select(store(a_37,i4,e_40),i4) != e_40
| select(a_41,i4) = e_40 ),
inference(resolve,[$cnf( $equal(store(a_37,i4,e_40),a_41) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
select(a_41,i4) = e_40,
inference(resolve,[$cnf( $equal(select(store(a_37,i4,e_40),i4),e_40) )],[refute_0_231,refute_0_235]) ).
cnf(refute_0_237,plain,
select(a_43,i4) = select(a_43,i4),
introduced(tautology,[refl,[$fot(select(a_43,i4))]]) ).
cnf(refute_0_238,plain,
( a_43 != a_41
| select(a_43,i4) != select(a_43,i4)
| select(a_43,i4) = select(a_41,i4) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_43,i4),select(a_43,i4)) ),[1,0],$fot(a_41)]]) ).
cnf(refute_0_239,plain,
( a_43 != a_41
| select(a_43,i4) = select(a_41,i4) ),
inference(resolve,[$cnf( $equal(select(a_43,i4),select(a_43,i4)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
select(a_43,i4) = select(a_41,i4),
inference(resolve,[$cnf( $equal(a_43,a_41) )],[refute_0_215,refute_0_239]) ).
cnf(refute_0_241,plain,
( select(a_41,i4) != e_40
| select(a_43,i4) != select(a_41,i4)
| select(a_43,i4) = e_40 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_43,i4))),bind(Y,$fot(select(a_41,i4))),bind(Z,$fot(e_40))]]) ).
cnf(refute_0_242,plain,
( select(a_41,i4) != e_40
| select(a_43,i4) = e_40 ),
inference(resolve,[$cnf( $equal(select(a_43,i4),select(a_41,i4)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
select(a_43,i4) = e_40,
inference(resolve,[$cnf( $equal(select(a_41,i4),e_40) )],[refute_0_236,refute_0_242]) ).
cnf(refute_0_244,plain,
( select(a_43,i4) != e_40
| select(a_43,i4) != e_42
| e_40 = e_42 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_43,i4),e_42) ),[0],$fot(e_40)]]) ).
cnf(refute_0_245,plain,
( select(a_43,i4) != e_42
| e_40 = e_42 ),
inference(resolve,[$cnf( $equal(select(a_43,i4),e_40) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
e_40 = e_42,
inference(resolve,[$cnf( $equal(select(a_43,i4),e_42) )],[refute_0_230,refute_0_245]) ).
cnf(refute_0_247,plain,
( e_40 != e_42
| e_42 = e_40 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_40)),bind(Y,$fot(e_42))]]) ).
cnf(refute_0_248,plain,
e_42 = e_40,
inference(resolve,[$cnf( $equal(e_40,e_42) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
store(a_39,i4,e_42) = store(a_39,i4,e_42),
introduced(tautology,[refl,[$fot(store(a_39,i4,e_42))]]) ).
cnf(refute_0_250,plain,
( e_42 != e_40
| store(a_39,i4,e_42) != store(a_39,i4,e_42)
| store(a_39,i4,e_42) = store(a_39,i4,e_40) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_39,i4,e_42),store(a_39,i4,e_42)) ),[1,2],$fot(e_40)]]) ).
cnf(refute_0_251,plain,
( e_42 != e_40
| store(a_39,i4,e_42) = store(a_39,i4,e_40) ),
inference(resolve,[$cnf( $equal(store(a_39,i4,e_42),store(a_39,i4,e_42)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
store(a_39,i4,e_42) = store(a_39,i4,e_40),
inference(resolve,[$cnf( $equal(e_42,e_40) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( store(a_39,i4,e_40) != a_39
| store(a_39,i4,e_42) != store(a_39,i4,e_40)
| store(a_39,i4,e_42) = a_39 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_39,i4,e_42))),bind(Y,$fot(store(a_39,i4,e_40))),bind(Z,$fot(a_39))]]) ).
cnf(refute_0_254,plain,
( store(a_39,i4,e_40) != a_39
| store(a_39,i4,e_42) = a_39 ),
inference(resolve,[$cnf( $equal(store(a_39,i4,e_42),store(a_39,i4,e_40)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
store(a_39,i4,e_42) = a_39,
inference(resolve,[$cnf( $equal(store(a_39,i4,e_40),a_39) )],[refute_0_224,refute_0_254]) ).
cnf(refute_0_256,plain,
( a_41 != store(a_39,i4,e_42)
| store(a_39,i4,e_42) != a_39
| a_41 = a_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_41,a_39) ),[0],$fot(store(a_39,i4,e_42))]]) ).
cnf(refute_0_257,plain,
( a_41 != store(a_39,i4,e_42)
| a_41 = a_39 ),
inference(resolve,[$cnf( $equal(store(a_39,i4,e_42),a_39) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
a_41 = a_39,
inference(resolve,[$cnf( $equal(a_41,store(a_39,i4,e_42)) )],[refute_0_218,refute_0_257]) ).
cnf(refute_0_259,plain,
( a_41 != a_39
| a_41 != store(a_37,i4,e_40)
| a_39 = store(a_37,i4,e_40) ),
introduced(tautology,[equality,[$cnf( $equal(a_41,store(a_37,i4,e_40)) ),[0],$fot(a_39)]]) ).
cnf(refute_0_260,plain,
( a_41 != store(a_37,i4,e_40)
| a_39 = store(a_37,i4,e_40) ),
inference(resolve,[$cnf( $equal(a_41,a_39) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
a_39 = store(a_37,i4,e_40),
inference(resolve,[$cnf( $equal(a_41,store(a_37,i4,e_40)) )],[hyp6,refute_0_260]) ).
cnf(refute_0_262,plain,
( a_39 != store(a_37,i4,e_40)
| store(a_37,i4,e_40) = a_39 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_39)),bind(Y,$fot(store(a_37,i4,e_40)))]]) ).
cnf(refute_0_263,plain,
store(a_37,i4,e_40) = a_39,
inference(resolve,[$cnf( $equal(a_39,store(a_37,i4,e_40)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
store(a_37,i4,e_42) = store(a_37,i4,e_42),
introduced(tautology,[refl,[$fot(store(a_37,i4,e_42))]]) ).
cnf(refute_0_265,plain,
( e_42 != e_40
| store(a_37,i4,e_42) != store(a_37,i4,e_42)
| store(a_37,i4,e_42) = store(a_37,i4,e_40) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_37,i4,e_42),store(a_37,i4,e_42)) ),[1,2],$fot(e_40)]]) ).
cnf(refute_0_266,plain,
( e_42 != e_40
| store(a_37,i4,e_42) = store(a_37,i4,e_40) ),
inference(resolve,[$cnf( $equal(store(a_37,i4,e_42),store(a_37,i4,e_42)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
store(a_37,i4,e_42) = store(a_37,i4,e_40),
inference(resolve,[$cnf( $equal(e_42,e_40) )],[refute_0_248,refute_0_266]) ).
cnf(refute_0_268,plain,
( store(a_37,i4,e_40) != a_39
| store(a_37,i4,e_42) != store(a_37,i4,e_40)
| store(a_37,i4,e_42) = a_39 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_37,i4,e_42))),bind(Y,$fot(store(a_37,i4,e_40))),bind(Z,$fot(a_39))]]) ).
cnf(refute_0_269,plain,
( store(a_37,i4,e_40) != a_39
| store(a_37,i4,e_42) = a_39 ),
inference(resolve,[$cnf( $equal(store(a_37,i4,e_42),store(a_37,i4,e_40)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
store(a_37,i4,e_42) = a_39,
inference(resolve,[$cnf( $equal(store(a_37,i4,e_40),a_39) )],[refute_0_263,refute_0_269]) ).
cnf(refute_0_271,plain,
( store(a_37,i4,e_42) != a_37
| store(a_37,i4,e_42) != a_39
| a_39 = a_37 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_37,i4,e_42),a_37) ),[0],$fot(a_39)]]) ).
cnf(refute_0_272,plain,
( store(a_37,i4,e_42) != a_37
| a_39 = a_37 ),
inference(resolve,[$cnf( $equal(store(a_37,i4,e_42),a_39) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
a_39 = a_37,
inference(resolve,[$cnf( $equal(store(a_37,i4,e_42),a_37) )],[refute_0_26,refute_0_272]) ).
cnf(refute_0_274,plain,
( a_39 != a_37
| a_39 != store(a_35,i3,e_38)
| a_37 = store(a_35,i3,e_38) ),
introduced(tautology,[equality,[$cnf( $equal(a_39,store(a_35,i3,e_38)) ),[0],$fot(a_37)]]) ).
cnf(refute_0_275,plain,
( a_39 != store(a_35,i3,e_38)
| a_37 = store(a_35,i3,e_38) ),
inference(resolve,[$cnf( $equal(a_39,a_37) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
a_37 = store(a_35,i3,e_38),
inference(resolve,[$cnf( $equal(a_39,store(a_35,i3,e_38)) )],[hyp5,refute_0_275]) ).
cnf(refute_0_277,plain,
store(a_35,i3,select(a_35,i3)) = a_35,
inference(subst,[],[a3:[bind(A,$fot(a_35)),bind(I,$fot(i3))]]) ).
cnf(refute_0_278,plain,
( e_36 != select(a_35,i3)
| select(a_35,i3) = e_36 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_36)),bind(Y,$fot(select(a_35,i3)))]]) ).
cnf(refute_0_279,plain,
select(a_35,i3) = e_36,
inference(resolve,[$cnf( $equal(e_36,select(a_35,i3)) )],[hyp18,refute_0_278]) ).
cnf(refute_0_280,plain,
( select(a_35,i3) != e_36
| store(a_35,i3,select(a_35,i3)) != a_35
| store(a_35,i3,e_36) = a_35 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_35,i3,select(a_35,i3)),a_35) ),[0,2],$fot(e_36)]]) ).
cnf(refute_0_281,plain,
( store(a_35,i3,select(a_35,i3)) != a_35
| store(a_35,i3,e_36) = a_35 ),
inference(resolve,[$cnf( $equal(select(a_35,i3),e_36) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
store(a_35,i3,e_36) = a_35,
inference(resolve,[$cnf( $equal(store(a_35,i3,select(a_35,i3)),a_35) )],[refute_0_277,refute_0_281]) ).
cnf(refute_0_283,plain,
select(store(a_35,i3,e_38),i3) = e_38,
inference(subst,[],[a1:[bind(A,$fot(a_35)),bind(E,$fot(e_38)),bind(I,$fot(i3))]]) ).
cnf(refute_0_284,plain,
( a_39 != store(a_35,i3,e_38)
| store(a_35,i3,e_38) = a_39 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_39)),bind(Y,$fot(store(a_35,i3,e_38)))]]) ).
cnf(refute_0_285,plain,
store(a_35,i3,e_38) = a_39,
inference(resolve,[$cnf( $equal(a_39,store(a_35,i3,e_38)) )],[hyp5,refute_0_284]) ).
cnf(refute_0_286,plain,
( select(store(a_35,i3,e_38),i3) != e_38
| store(a_35,i3,e_38) != a_39
| select(a_39,i3) = e_38 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_35,i3,e_38),i3),e_38) ),[0,0],$fot(a_39)]]) ).
cnf(refute_0_287,plain,
( select(store(a_35,i3,e_38),i3) != e_38
| select(a_39,i3) = e_38 ),
inference(resolve,[$cnf( $equal(store(a_35,i3,e_38),a_39) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
select(a_39,i3) = e_38,
inference(resolve,[$cnf( $equal(select(store(a_35,i3,e_38),i3),e_38) )],[refute_0_283,refute_0_287]) ).
cnf(refute_0_289,plain,
select(store(a_33,i3,e_36),i3) = e_36,
inference(subst,[],[a1:[bind(A,$fot(a_33)),bind(E,$fot(e_36)),bind(I,$fot(i3))]]) ).
cnf(refute_0_290,plain,
( a_37 != store(a_33,i3,e_36)
| store(a_33,i3,e_36) = a_37 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_37)),bind(Y,$fot(store(a_33,i3,e_36)))]]) ).
cnf(refute_0_291,plain,
store(a_33,i3,e_36) = a_37,
inference(resolve,[$cnf( $equal(a_37,store(a_33,i3,e_36)) )],[hyp4,refute_0_290]) ).
cnf(refute_0_292,plain,
( select(store(a_33,i3,e_36),i3) != e_36
| store(a_33,i3,e_36) != a_37
| select(a_37,i3) = e_36 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_33,i3,e_36),i3),e_36) ),[0,0],$fot(a_37)]]) ).
cnf(refute_0_293,plain,
( select(store(a_33,i3,e_36),i3) != e_36
| select(a_37,i3) = e_36 ),
inference(resolve,[$cnf( $equal(store(a_33,i3,e_36),a_37) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
select(a_37,i3) = e_36,
inference(resolve,[$cnf( $equal(select(store(a_33,i3,e_36),i3),e_36) )],[refute_0_289,refute_0_293]) ).
cnf(refute_0_295,plain,
select(a_39,i3) = select(a_39,i3),
introduced(tautology,[refl,[$fot(select(a_39,i3))]]) ).
cnf(refute_0_296,plain,
( a_39 != a_37
| select(a_39,i3) != select(a_39,i3)
| select(a_39,i3) = select(a_37,i3) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_39,i3),select(a_39,i3)) ),[1,0],$fot(a_37)]]) ).
cnf(refute_0_297,plain,
( a_39 != a_37
| select(a_39,i3) = select(a_37,i3) ),
inference(resolve,[$cnf( $equal(select(a_39,i3),select(a_39,i3)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
select(a_39,i3) = select(a_37,i3),
inference(resolve,[$cnf( $equal(a_39,a_37) )],[refute_0_273,refute_0_297]) ).
cnf(refute_0_299,plain,
( select(a_37,i3) != e_36
| select(a_39,i3) != select(a_37,i3)
| select(a_39,i3) = e_36 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_39,i3))),bind(Y,$fot(select(a_37,i3))),bind(Z,$fot(e_36))]]) ).
cnf(refute_0_300,plain,
( select(a_37,i3) != e_36
| select(a_39,i3) = e_36 ),
inference(resolve,[$cnf( $equal(select(a_39,i3),select(a_37,i3)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
select(a_39,i3) = e_36,
inference(resolve,[$cnf( $equal(select(a_37,i3),e_36) )],[refute_0_294,refute_0_300]) ).
cnf(refute_0_302,plain,
( select(a_39,i3) != e_36
| select(a_39,i3) != e_38
| e_36 = e_38 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_39,i3),e_38) ),[0],$fot(e_36)]]) ).
cnf(refute_0_303,plain,
( select(a_39,i3) != e_38
| e_36 = e_38 ),
inference(resolve,[$cnf( $equal(select(a_39,i3),e_36) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
e_36 = e_38,
inference(resolve,[$cnf( $equal(select(a_39,i3),e_38) )],[refute_0_288,refute_0_303]) ).
cnf(refute_0_305,plain,
( e_36 != e_38
| e_38 = e_36 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_36)),bind(Y,$fot(e_38))]]) ).
cnf(refute_0_306,plain,
e_38 = e_36,
inference(resolve,[$cnf( $equal(e_36,e_38) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
store(a_35,i3,e_38) = store(a_35,i3,e_38),
introduced(tautology,[refl,[$fot(store(a_35,i3,e_38))]]) ).
cnf(refute_0_308,plain,
( e_38 != e_36
| store(a_35,i3,e_38) != store(a_35,i3,e_38)
| store(a_35,i3,e_38) = store(a_35,i3,e_36) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_35,i3,e_38),store(a_35,i3,e_38)) ),[1,2],$fot(e_36)]]) ).
cnf(refute_0_309,plain,
( e_38 != e_36
| store(a_35,i3,e_38) = store(a_35,i3,e_36) ),
inference(resolve,[$cnf( $equal(store(a_35,i3,e_38),store(a_35,i3,e_38)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
store(a_35,i3,e_38) = store(a_35,i3,e_36),
inference(resolve,[$cnf( $equal(e_38,e_36) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( store(a_35,i3,e_36) != a_35
| store(a_35,i3,e_38) != store(a_35,i3,e_36)
| store(a_35,i3,e_38) = a_35 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_35,i3,e_38))),bind(Y,$fot(store(a_35,i3,e_36))),bind(Z,$fot(a_35))]]) ).
cnf(refute_0_312,plain,
( store(a_35,i3,e_36) != a_35
| store(a_35,i3,e_38) = a_35 ),
inference(resolve,[$cnf( $equal(store(a_35,i3,e_38),store(a_35,i3,e_36)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
store(a_35,i3,e_38) = a_35,
inference(resolve,[$cnf( $equal(store(a_35,i3,e_36),a_35) )],[refute_0_282,refute_0_312]) ).
cnf(refute_0_314,plain,
( a_37 != store(a_35,i3,e_38)
| store(a_35,i3,e_38) != a_35
| a_37 = a_35 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_37,a_35) ),[0],$fot(store(a_35,i3,e_38))]]) ).
cnf(refute_0_315,plain,
( a_37 != store(a_35,i3,e_38)
| a_37 = a_35 ),
inference(resolve,[$cnf( $equal(store(a_35,i3,e_38),a_35) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
a_37 = a_35,
inference(resolve,[$cnf( $equal(a_37,store(a_35,i3,e_38)) )],[refute_0_276,refute_0_315]) ).
cnf(refute_0_317,plain,
( a_37 != a_35
| a_37 != store(a_33,i3,e_36)
| a_35 = store(a_33,i3,e_36) ),
introduced(tautology,[equality,[$cnf( $equal(a_37,store(a_33,i3,e_36)) ),[0],$fot(a_35)]]) ).
cnf(refute_0_318,plain,
( a_37 != store(a_33,i3,e_36)
| a_35 = store(a_33,i3,e_36) ),
inference(resolve,[$cnf( $equal(a_37,a_35) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
a_35 = store(a_33,i3,e_36),
inference(resolve,[$cnf( $equal(a_37,store(a_33,i3,e_36)) )],[hyp4,refute_0_318]) ).
cnf(refute_0_320,plain,
( a_35 != store(a_33,i3,e_36)
| store(a_33,i3,e_36) = a_35 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_35)),bind(Y,$fot(store(a_33,i3,e_36)))]]) ).
cnf(refute_0_321,plain,
store(a_33,i3,e_36) = a_35,
inference(resolve,[$cnf( $equal(a_35,store(a_33,i3,e_36)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
store(a_33,i3,e_38) = store(a_33,i3,e_38),
introduced(tautology,[refl,[$fot(store(a_33,i3,e_38))]]) ).
cnf(refute_0_323,plain,
( e_38 != e_36
| store(a_33,i3,e_38) != store(a_33,i3,e_38)
| store(a_33,i3,e_38) = store(a_33,i3,e_36) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_33,i3,e_38),store(a_33,i3,e_38)) ),[1,2],$fot(e_36)]]) ).
cnf(refute_0_324,plain,
( e_38 != e_36
| store(a_33,i3,e_38) = store(a_33,i3,e_36) ),
inference(resolve,[$cnf( $equal(store(a_33,i3,e_38),store(a_33,i3,e_38)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
store(a_33,i3,e_38) = store(a_33,i3,e_36),
inference(resolve,[$cnf( $equal(e_38,e_36) )],[refute_0_306,refute_0_324]) ).
cnf(refute_0_326,plain,
( store(a_33,i3,e_36) != a_35
| store(a_33,i3,e_38) != store(a_33,i3,e_36)
| store(a_33,i3,e_38) = a_35 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_33,i3,e_38))),bind(Y,$fot(store(a_33,i3,e_36))),bind(Z,$fot(a_35))]]) ).
cnf(refute_0_327,plain,
( store(a_33,i3,e_36) != a_35
| store(a_33,i3,e_38) = a_35 ),
inference(resolve,[$cnf( $equal(store(a_33,i3,e_38),store(a_33,i3,e_36)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
store(a_33,i3,e_38) = a_35,
inference(resolve,[$cnf( $equal(store(a_33,i3,e_36),a_35) )],[refute_0_321,refute_0_327]) ).
cnf(refute_0_329,plain,
( store(a_33,i3,e_38) != a_33
| store(a_33,i3,e_38) != a_35
| a_35 = a_33 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_33,i3,e_38),a_33) ),[0],$fot(a_35)]]) ).
cnf(refute_0_330,plain,
( store(a_33,i3,e_38) != a_33
| a_35 = a_33 ),
inference(resolve,[$cnf( $equal(store(a_33,i3,e_38),a_35) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
a_35 = a_33,
inference(resolve,[$cnf( $equal(store(a_33,i3,e_38),a_33) )],[refute_0_20,refute_0_330]) ).
cnf(refute_0_332,plain,
( a_35 != a_33
| a_35 != store(a_31,i2,e_34)
| a_33 = store(a_31,i2,e_34) ),
introduced(tautology,[equality,[$cnf( $equal(a_35,store(a_31,i2,e_34)) ),[0],$fot(a_33)]]) ).
cnf(refute_0_333,plain,
( a_35 != store(a_31,i2,e_34)
| a_33 = store(a_31,i2,e_34) ),
inference(resolve,[$cnf( $equal(a_35,a_33) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
a_33 = store(a_31,i2,e_34),
inference(resolve,[$cnf( $equal(a_35,store(a_31,i2,e_34)) )],[hyp3,refute_0_333]) ).
cnf(refute_0_335,plain,
store(a_31,i2,select(a_31,i2)) = a_31,
inference(subst,[],[a3:[bind(A,$fot(a_31)),bind(I,$fot(i2))]]) ).
cnf(refute_0_336,plain,
( e_32 != select(a_31,i2)
| select(a_31,i2) = e_32 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_32)),bind(Y,$fot(select(a_31,i2)))]]) ).
cnf(refute_0_337,plain,
select(a_31,i2) = e_32,
inference(resolve,[$cnf( $equal(e_32,select(a_31,i2)) )],[hyp16,refute_0_336]) ).
cnf(refute_0_338,plain,
( select(a_31,i2) != e_32
| store(a_31,i2,select(a_31,i2)) != a_31
| store(a_31,i2,e_32) = a_31 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_31,i2,select(a_31,i2)),a_31) ),[0,2],$fot(e_32)]]) ).
cnf(refute_0_339,plain,
( store(a_31,i2,select(a_31,i2)) != a_31
| store(a_31,i2,e_32) = a_31 ),
inference(resolve,[$cnf( $equal(select(a_31,i2),e_32) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
store(a_31,i2,e_32) = a_31,
inference(resolve,[$cnf( $equal(store(a_31,i2,select(a_31,i2)),a_31) )],[refute_0_335,refute_0_339]) ).
cnf(refute_0_341,plain,
select(store(a_31,i2,e_34),i2) = e_34,
inference(subst,[],[a1:[bind(A,$fot(a_31)),bind(E,$fot(e_34)),bind(I,$fot(i2))]]) ).
cnf(refute_0_342,plain,
( a_35 != store(a_31,i2,e_34)
| store(a_31,i2,e_34) = a_35 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_35)),bind(Y,$fot(store(a_31,i2,e_34)))]]) ).
cnf(refute_0_343,plain,
store(a_31,i2,e_34) = a_35,
inference(resolve,[$cnf( $equal(a_35,store(a_31,i2,e_34)) )],[hyp3,refute_0_342]) ).
cnf(refute_0_344,plain,
( select(store(a_31,i2,e_34),i2) != e_34
| store(a_31,i2,e_34) != a_35
| select(a_35,i2) = e_34 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_31,i2,e_34),i2),e_34) ),[0,0],$fot(a_35)]]) ).
cnf(refute_0_345,plain,
( select(store(a_31,i2,e_34),i2) != e_34
| select(a_35,i2) = e_34 ),
inference(resolve,[$cnf( $equal(store(a_31,i2,e_34),a_35) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
select(a_35,i2) = e_34,
inference(resolve,[$cnf( $equal(select(store(a_31,i2,e_34),i2),e_34) )],[refute_0_341,refute_0_345]) ).
cnf(refute_0_347,plain,
select(store(a_29,i2,e_32),i2) = e_32,
inference(subst,[],[a1:[bind(A,$fot(a_29)),bind(E,$fot(e_32)),bind(I,$fot(i2))]]) ).
cnf(refute_0_348,plain,
( a_33 != store(a_29,i2,e_32)
| store(a_29,i2,e_32) = a_33 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_33)),bind(Y,$fot(store(a_29,i2,e_32)))]]) ).
cnf(refute_0_349,plain,
store(a_29,i2,e_32) = a_33,
inference(resolve,[$cnf( $equal(a_33,store(a_29,i2,e_32)) )],[hyp2,refute_0_348]) ).
cnf(refute_0_350,plain,
( select(store(a_29,i2,e_32),i2) != e_32
| store(a_29,i2,e_32) != a_33
| select(a_33,i2) = e_32 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_29,i2,e_32),i2),e_32) ),[0,0],$fot(a_33)]]) ).
cnf(refute_0_351,plain,
( select(store(a_29,i2,e_32),i2) != e_32
| select(a_33,i2) = e_32 ),
inference(resolve,[$cnf( $equal(store(a_29,i2,e_32),a_33) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
select(a_33,i2) = e_32,
inference(resolve,[$cnf( $equal(select(store(a_29,i2,e_32),i2),e_32) )],[refute_0_347,refute_0_351]) ).
cnf(refute_0_353,plain,
select(a_35,i2) = select(a_35,i2),
introduced(tautology,[refl,[$fot(select(a_35,i2))]]) ).
cnf(refute_0_354,plain,
( a_35 != a_33
| select(a_35,i2) != select(a_35,i2)
| select(a_35,i2) = select(a_33,i2) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_35,i2),select(a_35,i2)) ),[1,0],$fot(a_33)]]) ).
cnf(refute_0_355,plain,
( a_35 != a_33
| select(a_35,i2) = select(a_33,i2) ),
inference(resolve,[$cnf( $equal(select(a_35,i2),select(a_35,i2)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
select(a_35,i2) = select(a_33,i2),
inference(resolve,[$cnf( $equal(a_35,a_33) )],[refute_0_331,refute_0_355]) ).
cnf(refute_0_357,plain,
( select(a_33,i2) != e_32
| select(a_35,i2) != select(a_33,i2)
| select(a_35,i2) = e_32 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_35,i2))),bind(Y,$fot(select(a_33,i2))),bind(Z,$fot(e_32))]]) ).
cnf(refute_0_358,plain,
( select(a_33,i2) != e_32
| select(a_35,i2) = e_32 ),
inference(resolve,[$cnf( $equal(select(a_35,i2),select(a_33,i2)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
select(a_35,i2) = e_32,
inference(resolve,[$cnf( $equal(select(a_33,i2),e_32) )],[refute_0_352,refute_0_358]) ).
cnf(refute_0_360,plain,
( select(a_35,i2) != e_32
| select(a_35,i2) != e_34
| e_32 = e_34 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_35,i2),e_34) ),[0],$fot(e_32)]]) ).
cnf(refute_0_361,plain,
( select(a_35,i2) != e_34
| e_32 = e_34 ),
inference(resolve,[$cnf( $equal(select(a_35,i2),e_32) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
e_32 = e_34,
inference(resolve,[$cnf( $equal(select(a_35,i2),e_34) )],[refute_0_346,refute_0_361]) ).
cnf(refute_0_363,plain,
( e_32 != e_34
| e_34 = e_32 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_32)),bind(Y,$fot(e_34))]]) ).
cnf(refute_0_364,plain,
e_34 = e_32,
inference(resolve,[$cnf( $equal(e_32,e_34) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
store(a_31,i2,e_34) = store(a_31,i2,e_34),
introduced(tautology,[refl,[$fot(store(a_31,i2,e_34))]]) ).
cnf(refute_0_366,plain,
( e_34 != e_32
| store(a_31,i2,e_34) != store(a_31,i2,e_34)
| store(a_31,i2,e_34) = store(a_31,i2,e_32) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_31,i2,e_34),store(a_31,i2,e_34)) ),[1,2],$fot(e_32)]]) ).
cnf(refute_0_367,plain,
( e_34 != e_32
| store(a_31,i2,e_34) = store(a_31,i2,e_32) ),
inference(resolve,[$cnf( $equal(store(a_31,i2,e_34),store(a_31,i2,e_34)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
store(a_31,i2,e_34) = store(a_31,i2,e_32),
inference(resolve,[$cnf( $equal(e_34,e_32) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( store(a_31,i2,e_32) != a_31
| store(a_31,i2,e_34) != store(a_31,i2,e_32)
| store(a_31,i2,e_34) = a_31 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_31,i2,e_34))),bind(Y,$fot(store(a_31,i2,e_32))),bind(Z,$fot(a_31))]]) ).
cnf(refute_0_370,plain,
( store(a_31,i2,e_32) != a_31
| store(a_31,i2,e_34) = a_31 ),
inference(resolve,[$cnf( $equal(store(a_31,i2,e_34),store(a_31,i2,e_32)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
store(a_31,i2,e_34) = a_31,
inference(resolve,[$cnf( $equal(store(a_31,i2,e_32),a_31) )],[refute_0_340,refute_0_370]) ).
cnf(refute_0_372,plain,
( a_33 != store(a_31,i2,e_34)
| store(a_31,i2,e_34) != a_31
| a_33 = a_31 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_33,a_31) ),[0],$fot(store(a_31,i2,e_34))]]) ).
cnf(refute_0_373,plain,
( a_33 != store(a_31,i2,e_34)
| a_33 = a_31 ),
inference(resolve,[$cnf( $equal(store(a_31,i2,e_34),a_31) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
a_33 = a_31,
inference(resolve,[$cnf( $equal(a_33,store(a_31,i2,e_34)) )],[refute_0_334,refute_0_373]) ).
cnf(refute_0_375,plain,
( a_33 != a_31
| a_33 != store(a_29,i2,e_32)
| a_31 = store(a_29,i2,e_32) ),
introduced(tautology,[equality,[$cnf( $equal(a_33,store(a_29,i2,e_32)) ),[0],$fot(a_31)]]) ).
cnf(refute_0_376,plain,
( a_33 != store(a_29,i2,e_32)
| a_31 = store(a_29,i2,e_32) ),
inference(resolve,[$cnf( $equal(a_33,a_31) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
a_31 = store(a_29,i2,e_32),
inference(resolve,[$cnf( $equal(a_33,store(a_29,i2,e_32)) )],[hyp2,refute_0_376]) ).
cnf(refute_0_378,plain,
( a_31 != store(a_29,i2,e_32)
| store(a_29,i2,e_32) = a_31 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_31)),bind(Y,$fot(store(a_29,i2,e_32)))]]) ).
cnf(refute_0_379,plain,
store(a_29,i2,e_32) = a_31,
inference(resolve,[$cnf( $equal(a_31,store(a_29,i2,e_32)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
store(a_29,i2,e_34) = store(a_29,i2,e_34),
introduced(tautology,[refl,[$fot(store(a_29,i2,e_34))]]) ).
cnf(refute_0_381,plain,
( e_34 != e_32
| store(a_29,i2,e_34) != store(a_29,i2,e_34)
| store(a_29,i2,e_34) = store(a_29,i2,e_32) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_29,i2,e_34),store(a_29,i2,e_34)) ),[1,2],$fot(e_32)]]) ).
cnf(refute_0_382,plain,
( e_34 != e_32
| store(a_29,i2,e_34) = store(a_29,i2,e_32) ),
inference(resolve,[$cnf( $equal(store(a_29,i2,e_34),store(a_29,i2,e_34)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
store(a_29,i2,e_34) = store(a_29,i2,e_32),
inference(resolve,[$cnf( $equal(e_34,e_32) )],[refute_0_364,refute_0_382]) ).
cnf(refute_0_384,plain,
( store(a_29,i2,e_32) != a_31
| store(a_29,i2,e_34) != store(a_29,i2,e_32)
| store(a_29,i2,e_34) = a_31 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a_29,i2,e_34))),bind(Y,$fot(store(a_29,i2,e_32))),bind(Z,$fot(a_31))]]) ).
cnf(refute_0_385,plain,
( store(a_29,i2,e_32) != a_31
| store(a_29,i2,e_34) = a_31 ),
inference(resolve,[$cnf( $equal(store(a_29,i2,e_34),store(a_29,i2,e_32)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
store(a_29,i2,e_34) = a_31,
inference(resolve,[$cnf( $equal(store(a_29,i2,e_32),a_31) )],[refute_0_379,refute_0_385]) ).
cnf(refute_0_387,plain,
( store(a_29,i2,e_34) != a_29
| store(a_29,i2,e_34) != a_31
| a_31 = a_29 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_29,i2,e_34),a_29) ),[0],$fot(a_31)]]) ).
cnf(refute_0_388,plain,
( store(a_29,i2,e_34) != a_29
| a_31 = a_29 ),
inference(resolve,[$cnf( $equal(store(a_29,i2,e_34),a_31) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
a_31 = a_29,
inference(resolve,[$cnf( $equal(store(a_29,i2,e_34),a_29) )],[refute_0_14,refute_0_388]) ).
cnf(refute_0_390,plain,
( a_31 != a_29
| a_31 != store(a2,i1,e_30)
| a_29 = store(a2,i1,e_30) ),
introduced(tautology,[equality,[$cnf( $equal(a_31,store(a2,i1,e_30)) ),[0],$fot(a_29)]]) ).
cnf(refute_0_391,plain,
( a_31 != store(a2,i1,e_30)
| a_29 = store(a2,i1,e_30) ),
inference(resolve,[$cnf( $equal(a_31,a_29) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
a_29 = store(a2,i1,e_30),
inference(resolve,[$cnf( $equal(a_31,store(a2,i1,e_30)) )],[hyp1,refute_0_391]) ).
cnf(refute_0_393,plain,
store(a2,i1,select(a2,i1)) = a2,
inference(subst,[],[a3:[bind(A,$fot(a2)),bind(I,$fot(i1))]]) ).
cnf(refute_0_394,plain,
( e_28 != select(a2,i1)
| select(a2,i1) = e_28 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_28)),bind(Y,$fot(select(a2,i1)))]]) ).
cnf(refute_0_395,plain,
select(a2,i1) = e_28,
inference(resolve,[$cnf( $equal(e_28,select(a2,i1)) )],[hyp14,refute_0_394]) ).
cnf(refute_0_396,plain,
( select(a2,i1) != e_28
| store(a2,i1,select(a2,i1)) != a2
| store(a2,i1,e_28) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(store(a2,i1,select(a2,i1)),a2) ),[0,2],$fot(e_28)]]) ).
cnf(refute_0_397,plain,
( store(a2,i1,select(a2,i1)) != a2
| store(a2,i1,e_28) = a2 ),
inference(resolve,[$cnf( $equal(select(a2,i1),e_28) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
store(a2,i1,e_28) = a2,
inference(resolve,[$cnf( $equal(store(a2,i1,select(a2,i1)),a2) )],[refute_0_393,refute_0_397]) ).
cnf(refute_0_399,plain,
select(store(a2,i1,e_30),i1) = e_30,
inference(subst,[],[a1:[bind(A,$fot(a2)),bind(E,$fot(e_30)),bind(I,$fot(i1))]]) ).
cnf(refute_0_400,plain,
( a_31 != store(a2,i1,e_30)
| store(a2,i1,e_30) = a_31 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_31)),bind(Y,$fot(store(a2,i1,e_30)))]]) ).
cnf(refute_0_401,plain,
store(a2,i1,e_30) = a_31,
inference(resolve,[$cnf( $equal(a_31,store(a2,i1,e_30)) )],[hyp1,refute_0_400]) ).
cnf(refute_0_402,plain,
( select(store(a2,i1,e_30),i1) != e_30
| store(a2,i1,e_30) != a_31
| select(a_31,i1) = e_30 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a2,i1,e_30),i1),e_30) ),[0,0],$fot(a_31)]]) ).
cnf(refute_0_403,plain,
( select(store(a2,i1,e_30),i1) != e_30
| select(a_31,i1) = e_30 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_30),a_31) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
select(a_31,i1) = e_30,
inference(resolve,[$cnf( $equal(select(store(a2,i1,e_30),i1),e_30) )],[refute_0_399,refute_0_403]) ).
cnf(refute_0_405,plain,
select(store(a1,i1,e_28),i1) = e_28,
inference(subst,[],[a1:[bind(A,$fot(a1)),bind(E,$fot(e_28)),bind(I,$fot(i1))]]) ).
cnf(refute_0_406,plain,
( a_29 != store(a1,i1,e_28)
| store(a1,i1,e_28) = a_29 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_29)),bind(Y,$fot(store(a1,i1,e_28)))]]) ).
cnf(refute_0_407,plain,
store(a1,i1,e_28) = a_29,
inference(resolve,[$cnf( $equal(a_29,store(a1,i1,e_28)) )],[hyp0,refute_0_406]) ).
cnf(refute_0_408,plain,
( select(store(a1,i1,e_28),i1) != e_28
| store(a1,i1,e_28) != a_29
| select(a_29,i1) = e_28 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a1,i1,e_28),i1),e_28) ),[0,0],$fot(a_29)]]) ).
cnf(refute_0_409,plain,
( select(store(a1,i1,e_28),i1) != e_28
| select(a_29,i1) = e_28 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_28),a_29) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
select(a_29,i1) = e_28,
inference(resolve,[$cnf( $equal(select(store(a1,i1,e_28),i1),e_28) )],[refute_0_405,refute_0_409]) ).
cnf(refute_0_411,plain,
select(a_31,i1) = select(a_31,i1),
introduced(tautology,[refl,[$fot(select(a_31,i1))]]) ).
cnf(refute_0_412,plain,
( a_31 != a_29
| select(a_31,i1) != select(a_31,i1)
| select(a_31,i1) = select(a_29,i1) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_31,i1),select(a_31,i1)) ),[1,0],$fot(a_29)]]) ).
cnf(refute_0_413,plain,
( a_31 != a_29
| select(a_31,i1) = select(a_29,i1) ),
inference(resolve,[$cnf( $equal(select(a_31,i1),select(a_31,i1)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
select(a_31,i1) = select(a_29,i1),
inference(resolve,[$cnf( $equal(a_31,a_29) )],[refute_0_389,refute_0_413]) ).
cnf(refute_0_415,plain,
( select(a_29,i1) != e_28
| select(a_31,i1) != select(a_29,i1)
| select(a_31,i1) = e_28 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(select(a_31,i1))),bind(Y,$fot(select(a_29,i1))),bind(Z,$fot(e_28))]]) ).
cnf(refute_0_416,plain,
( select(a_29,i1) != e_28
| select(a_31,i1) = e_28 ),
inference(resolve,[$cnf( $equal(select(a_31,i1),select(a_29,i1)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
select(a_31,i1) = e_28,
inference(resolve,[$cnf( $equal(select(a_29,i1),e_28) )],[refute_0_410,refute_0_416]) ).
cnf(refute_0_418,plain,
( select(a_31,i1) != e_28
| select(a_31,i1) != e_30
| e_28 = e_30 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_31,i1),e_30) ),[0],$fot(e_28)]]) ).
cnf(refute_0_419,plain,
( select(a_31,i1) != e_30
| e_28 = e_30 ),
inference(resolve,[$cnf( $equal(select(a_31,i1),e_28) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
e_28 = e_30,
inference(resolve,[$cnf( $equal(select(a_31,i1),e_30) )],[refute_0_404,refute_0_419]) ).
cnf(refute_0_421,plain,
( e_28 != e_30
| e_30 = e_28 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_28)),bind(Y,$fot(e_30))]]) ).
cnf(refute_0_422,plain,
e_30 = e_28,
inference(resolve,[$cnf( $equal(e_28,e_30) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
store(a2,i1,e_30) = store(a2,i1,e_30),
introduced(tautology,[refl,[$fot(store(a2,i1,e_30))]]) ).
cnf(refute_0_424,plain,
( e_30 != e_28
| store(a2,i1,e_30) != store(a2,i1,e_30)
| store(a2,i1,e_30) = store(a2,i1,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(store(a2,i1,e_30),store(a2,i1,e_30)) ),[1,2],$fot(e_28)]]) ).
cnf(refute_0_425,plain,
( e_30 != e_28
| store(a2,i1,e_30) = store(a2,i1,e_28) ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_30),store(a2,i1,e_30)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
store(a2,i1,e_30) = store(a2,i1,e_28),
inference(resolve,[$cnf( $equal(e_30,e_28) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
( store(a2,i1,e_28) != a2
| store(a2,i1,e_30) != store(a2,i1,e_28)
| store(a2,i1,e_30) = a2 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a2,i1,e_30))),bind(Y,$fot(store(a2,i1,e_28))),bind(Z,$fot(a2))]]) ).
cnf(refute_0_428,plain,
( store(a2,i1,e_28) != a2
| store(a2,i1,e_30) = a2 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_30),store(a2,i1,e_28)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
store(a2,i1,e_30) = a2,
inference(resolve,[$cnf( $equal(store(a2,i1,e_28),a2) )],[refute_0_398,refute_0_428]) ).
cnf(refute_0_430,plain,
( a_29 != store(a2,i1,e_30)
| store(a2,i1,e_30) != a2
| a_29 = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_29,a2) ),[0],$fot(store(a2,i1,e_30))]]) ).
cnf(refute_0_431,plain,
( a_29 != store(a2,i1,e_30)
| a_29 = a2 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_30),a2) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
a_29 = a2,
inference(resolve,[$cnf( $equal(a_29,store(a2,i1,e_30)) )],[refute_0_392,refute_0_431]) ).
cnf(refute_0_433,plain,
( a_29 != a2
| a_29 != store(a1,i1,e_28)
| a2 = store(a1,i1,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(a_29,store(a1,i1,e_28)) ),[0],$fot(a2)]]) ).
cnf(refute_0_434,plain,
( a_29 != store(a1,i1,e_28)
| a2 = store(a1,i1,e_28) ),
inference(resolve,[$cnf( $equal(a_29,a2) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
a2 = store(a1,i1,e_28),
inference(resolve,[$cnf( $equal(a_29,store(a1,i1,e_28)) )],[hyp0,refute_0_434]) ).
cnf(refute_0_436,plain,
( a2 != store(a1,i1,e_28)
| store(a1,i1,e_28) = a2 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a2)),bind(Y,$fot(store(a1,i1,e_28)))]]) ).
cnf(refute_0_437,plain,
store(a1,i1,e_28) = a2,
inference(resolve,[$cnf( $equal(a2,store(a1,i1,e_28)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
store(a1,i1,e_30) = store(a1,i1,e_30),
introduced(tautology,[refl,[$fot(store(a1,i1,e_30))]]) ).
cnf(refute_0_439,plain,
( e_30 != e_28
| store(a1,i1,e_30) != store(a1,i1,e_30)
| store(a1,i1,e_30) = store(a1,i1,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,e_30),store(a1,i1,e_30)) ),[1,2],$fot(e_28)]]) ).
cnf(refute_0_440,plain,
( e_30 != e_28
| store(a1,i1,e_30) = store(a1,i1,e_28) ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_30),store(a1,i1,e_30)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
store(a1,i1,e_30) = store(a1,i1,e_28),
inference(resolve,[$cnf( $equal(e_30,e_28) )],[refute_0_422,refute_0_440]) ).
cnf(refute_0_442,plain,
( store(a1,i1,e_28) != a2
| store(a1,i1,e_30) != store(a1,i1,e_28)
| store(a1,i1,e_30) = a2 ),
inference(subst,[],[refute_0_78:[bind(X,$fot(store(a1,i1,e_30))),bind(Y,$fot(store(a1,i1,e_28))),bind(Z,$fot(a2))]]) ).
cnf(refute_0_443,plain,
( store(a1,i1,e_28) != a2
| store(a1,i1,e_30) = a2 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_30),store(a1,i1,e_28)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
store(a1,i1,e_30) = a2,
inference(resolve,[$cnf( $equal(store(a1,i1,e_28),a2) )],[refute_0_437,refute_0_443]) ).
cnf(refute_0_445,plain,
( store(a1,i1,e_30) != a1
| store(a1,i1,e_30) != a2
| a2 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,e_30),a1) ),[0],$fot(a2)]]) ).
cnf(refute_0_446,plain,
( store(a1,i1,e_30) != a1
| a2 = a1 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_30),a2) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
a2 = a1,
inference(resolve,[$cnf( $equal(store(a1,i1,e_30),a1) )],[refute_0_8,refute_0_446]) ).
cnf(refute_0_448,plain,
( a2 != a1
| a1 = a2 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a2)),bind(Y,$fot(a1))]]) ).
cnf(refute_0_449,plain,
a2 != a1,
inference(resolve,[$cnf( $equal(a1,a2) )],[refute_0_448,goal]) ).
cnf(refute_0_450,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_447,refute_0_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 22:21:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------