TSTP Solution File: SWV558-1.004 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 81
% Syntax : Number of clauses : 279 ( 133 unt; 0 nHn; 276 RR)
% Number of literals : 486 ( 485 equ; 209 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 : 24 ( 24 usr; 22 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_17 = store(a1,i1,e_16) ).
cnf(hyp1,hypothesis,
a_19 = store(a2,i1,e_18) ).
cnf(hyp2,hypothesis,
a_21 = store(a_17,i2,e_20) ).
cnf(hyp3,hypothesis,
a_23 = store(a_19,i2,e_22) ).
cnf(hyp4,hypothesis,
a_25 = store(a_21,i3,e_24) ).
cnf(hyp5,hypothesis,
a_27 = store(a_23,i3,e_26) ).
cnf(hyp6,hypothesis,
a_29 = store(a_25,i4,e_28) ).
cnf(hyp7,hypothesis,
a_31 = store(a_27,i4,e_30) ).
cnf(hyp8,hypothesis,
e_16 = select(a2,i1) ).
cnf(hyp9,hypothesis,
e_18 = select(a1,i1) ).
cnf(hyp10,hypothesis,
e_20 = select(a_19,i2) ).
cnf(hyp11,hypothesis,
e_22 = select(a_17,i2) ).
cnf(hyp12,hypothesis,
e_24 = select(a_23,i3) ).
cnf(hyp13,hypothesis,
e_26 = select(a_21,i3) ).
cnf(hyp14,hypothesis,
e_28 = select(a_27,i4) ).
cnf(hyp15,hypothesis,
e_30 = select(a_25,i4) ).
cnf(hyp16,hypothesis,
a_29 = a_31 ).
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( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( e_18 != select(a1,i1)
| select(a1,i1) = e_18 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_18)),bind(Y,$fot(select(a1,i1)))]]) ).
cnf(refute_0_5,plain,
select(a1,i1) = e_18,
inference(resolve,[$cnf( $equal(e_18,select(a1,i1)) )],[hyp9,refute_0_4]) ).
cnf(refute_0_6,plain,
( select(a1,i1) != e_18
| store(a1,i1,select(a1,i1)) != a1
| store(a1,i1,e_18) = a1 ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,select(a1,i1)),a1) ),[0,2],$fot(e_18)]]) ).
cnf(refute_0_7,plain,
( store(a1,i1,select(a1,i1)) != a1
| store(a1,i1,e_18) = a1 ),
inference(resolve,[$cnf( $equal(select(a1,i1),e_18) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
store(a1,i1,e_18) = a1,
inference(resolve,[$cnf( $equal(store(a1,i1,select(a1,i1)),a1) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
store(a_17,i2,select(a_17,i2)) = a_17,
inference(subst,[],[a3:[bind(A,$fot(a_17)),bind(I,$fot(i2))]]) ).
cnf(refute_0_10,plain,
( e_22 != select(a_17,i2)
| select(a_17,i2) = e_22 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_22)),bind(Y,$fot(select(a_17,i2)))]]) ).
cnf(refute_0_11,plain,
select(a_17,i2) = e_22,
inference(resolve,[$cnf( $equal(e_22,select(a_17,i2)) )],[hyp11,refute_0_10]) ).
cnf(refute_0_12,plain,
( select(a_17,i2) != e_22
| store(a_17,i2,select(a_17,i2)) != a_17
| store(a_17,i2,e_22) = a_17 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_17,i2,select(a_17,i2)),a_17) ),[0,2],$fot(e_22)]]) ).
cnf(refute_0_13,plain,
( store(a_17,i2,select(a_17,i2)) != a_17
| store(a_17,i2,e_22) = a_17 ),
inference(resolve,[$cnf( $equal(select(a_17,i2),e_22) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
store(a_17,i2,e_22) = a_17,
inference(resolve,[$cnf( $equal(store(a_17,i2,select(a_17,i2)),a_17) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
store(a_21,i3,select(a_21,i3)) = a_21,
inference(subst,[],[a3:[bind(A,$fot(a_21)),bind(I,$fot(i3))]]) ).
cnf(refute_0_16,plain,
( e_26 != select(a_21,i3)
| select(a_21,i3) = e_26 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_26)),bind(Y,$fot(select(a_21,i3)))]]) ).
cnf(refute_0_17,plain,
select(a_21,i3) = e_26,
inference(resolve,[$cnf( $equal(e_26,select(a_21,i3)) )],[hyp13,refute_0_16]) ).
cnf(refute_0_18,plain,
( select(a_21,i3) != e_26
| store(a_21,i3,select(a_21,i3)) != a_21
| store(a_21,i3,e_26) = a_21 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_21,i3,select(a_21,i3)),a_21) ),[0,2],$fot(e_26)]]) ).
cnf(refute_0_19,plain,
( store(a_21,i3,select(a_21,i3)) != a_21
| store(a_21,i3,e_26) = a_21 ),
inference(resolve,[$cnf( $equal(select(a_21,i3),e_26) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
store(a_21,i3,e_26) = a_21,
inference(resolve,[$cnf( $equal(store(a_21,i3,select(a_21,i3)),a_21) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
store(a_25,i4,select(a_25,i4)) = a_25,
inference(subst,[],[a3:[bind(A,$fot(a_25)),bind(I,$fot(i4))]]) ).
cnf(refute_0_22,plain,
( e_30 != select(a_25,i4)
| select(a_25,i4) = e_30 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_30)),bind(Y,$fot(select(a_25,i4)))]]) ).
cnf(refute_0_23,plain,
select(a_25,i4) = e_30,
inference(resolve,[$cnf( $equal(e_30,select(a_25,i4)) )],[hyp15,refute_0_22]) ).
cnf(refute_0_24,plain,
( select(a_25,i4) != e_30
| store(a_25,i4,select(a_25,i4)) != a_25
| store(a_25,i4,e_30) = a_25 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_25,i4,select(a_25,i4)),a_25) ),[0,2],$fot(e_30)]]) ).
cnf(refute_0_25,plain,
( store(a_25,i4,select(a_25,i4)) != a_25
| store(a_25,i4,e_30) = a_25 ),
inference(resolve,[$cnf( $equal(select(a_25,i4),e_30) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
store(a_25,i4,e_30) = a_25,
inference(resolve,[$cnf( $equal(store(a_25,i4,select(a_25,i4)),a_25) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( a_29 != a_31
| a_31 = a_29 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_29)),bind(Y,$fot(a_31))]]) ).
cnf(refute_0_28,plain,
a_31 = a_29,
inference(resolve,[$cnf( $equal(a_29,a_31) )],[hyp16,refute_0_27]) ).
cnf(refute_0_29,plain,
( a_31 != a_29
| a_31 != store(a_27,i4,e_30)
| a_29 = store(a_27,i4,e_30) ),
introduced(tautology,[equality,[$cnf( $equal(a_31,store(a_27,i4,e_30)) ),[0],$fot(a_29)]]) ).
cnf(refute_0_30,plain,
( a_31 != store(a_27,i4,e_30)
| a_29 = store(a_27,i4,e_30) ),
inference(resolve,[$cnf( $equal(a_31,a_29) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
a_29 = store(a_27,i4,e_30),
inference(resolve,[$cnf( $equal(a_31,store(a_27,i4,e_30)) )],[hyp7,refute_0_30]) ).
cnf(refute_0_32,plain,
store(a_27,i4,select(a_27,i4)) = a_27,
inference(subst,[],[a3:[bind(A,$fot(a_27)),bind(I,$fot(i4))]]) ).
cnf(refute_0_33,plain,
( e_28 != select(a_27,i4)
| select(a_27,i4) = e_28 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_28)),bind(Y,$fot(select(a_27,i4)))]]) ).
cnf(refute_0_34,plain,
select(a_27,i4) = e_28,
inference(resolve,[$cnf( $equal(e_28,select(a_27,i4)) )],[hyp14,refute_0_33]) ).
cnf(refute_0_35,plain,
( select(a_27,i4) != e_28
| store(a_27,i4,select(a_27,i4)) != a_27
| store(a_27,i4,e_28) = a_27 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_27,i4,select(a_27,i4)),a_27) ),[0,2],$fot(e_28)]]) ).
cnf(refute_0_36,plain,
( store(a_27,i4,select(a_27,i4)) != a_27
| store(a_27,i4,e_28) = a_27 ),
inference(resolve,[$cnf( $equal(select(a_27,i4),e_28) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
store(a_27,i4,e_28) = a_27,
inference(resolve,[$cnf( $equal(store(a_27,i4,select(a_27,i4)),a_27) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
select(store(a_27,i4,e_30),i4) = e_30,
inference(subst,[],[a1:[bind(A,$fot(a_27)),bind(E,$fot(e_30)),bind(I,$fot(i4))]]) ).
cnf(refute_0_39,plain,
( a_29 != store(a_27,i4,e_30)
| store(a_27,i4,e_30) = a_29 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_29)),bind(Y,$fot(store(a_27,i4,e_30)))]]) ).
cnf(refute_0_40,plain,
store(a_27,i4,e_30) = a_29,
inference(resolve,[$cnf( $equal(a_29,store(a_27,i4,e_30)) )],[refute_0_31,refute_0_39]) ).
cnf(refute_0_41,plain,
( select(store(a_27,i4,e_30),i4) != e_30
| store(a_27,i4,e_30) != a_29
| select(a_29,i4) = e_30 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_27,i4,e_30),i4),e_30) ),[0,0],$fot(a_29)]]) ).
cnf(refute_0_42,plain,
( select(store(a_27,i4,e_30),i4) != e_30
| select(a_29,i4) = e_30 ),
inference(resolve,[$cnf( $equal(store(a_27,i4,e_30),a_29) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
select(a_29,i4) = e_30,
inference(resolve,[$cnf( $equal(select(store(a_27,i4,e_30),i4),e_30) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
select(store(a_25,i4,e_28),i4) = e_28,
inference(subst,[],[a1:[bind(A,$fot(a_25)),bind(E,$fot(e_28)),bind(I,$fot(i4))]]) ).
cnf(refute_0_45,plain,
( a_29 != store(a_25,i4,e_28)
| store(a_25,i4,e_28) = a_29 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_29)),bind(Y,$fot(store(a_25,i4,e_28)))]]) ).
cnf(refute_0_46,plain,
store(a_25,i4,e_28) = a_29,
inference(resolve,[$cnf( $equal(a_29,store(a_25,i4,e_28)) )],[hyp6,refute_0_45]) ).
cnf(refute_0_47,plain,
( select(store(a_25,i4,e_28),i4) != e_28
| store(a_25,i4,e_28) != a_29
| select(a_29,i4) = e_28 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_25,i4,e_28),i4),e_28) ),[0,0],$fot(a_29)]]) ).
cnf(refute_0_48,plain,
( select(store(a_25,i4,e_28),i4) != e_28
| select(a_29,i4) = e_28 ),
inference(resolve,[$cnf( $equal(store(a_25,i4,e_28),a_29) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
select(a_29,i4) = e_28,
inference(resolve,[$cnf( $equal(select(store(a_25,i4,e_28),i4),e_28) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
( select(a_29,i4) != e_28
| select(a_29,i4) != e_30
| e_28 = e_30 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_29,i4),e_30) ),[0],$fot(e_28)]]) ).
cnf(refute_0_51,plain,
( select(a_29,i4) != e_30
| e_28 = e_30 ),
inference(resolve,[$cnf( $equal(select(a_29,i4),e_28) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
e_28 = e_30,
inference(resolve,[$cnf( $equal(select(a_29,i4),e_30) )],[refute_0_43,refute_0_51]) ).
cnf(refute_0_53,plain,
( e_28 != e_30
| e_30 = e_28 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_28)),bind(Y,$fot(e_30))]]) ).
cnf(refute_0_54,plain,
e_30 = e_28,
inference(resolve,[$cnf( $equal(e_28,e_30) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
store(a_27,i4,e_30) = store(a_27,i4,e_30),
introduced(tautology,[refl,[$fot(store(a_27,i4,e_30))]]) ).
cnf(refute_0_56,plain,
( e_30 != e_28
| store(a_27,i4,e_30) != store(a_27,i4,e_30)
| store(a_27,i4,e_30) = store(a_27,i4,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_27,i4,e_30),store(a_27,i4,e_30)) ),[1,2],$fot(e_28)]]) ).
cnf(refute_0_57,plain,
( e_30 != e_28
| store(a_27,i4,e_30) = store(a_27,i4,e_28) ),
inference(resolve,[$cnf( $equal(store(a_27,i4,e_30),store(a_27,i4,e_30)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
store(a_27,i4,e_30) = store(a_27,i4,e_28),
inference(resolve,[$cnf( $equal(e_30,e_28) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_59]) ).
cnf(refute_0_61,plain,
( store(a_27,i4,e_28) != a_27
| store(a_27,i4,e_30) != store(a_27,i4,e_28)
| store(a_27,i4,e_30) = a_27 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_27,i4,e_30))),bind(Y,$fot(store(a_27,i4,e_28))),bind(Z,$fot(a_27))]]) ).
cnf(refute_0_62,plain,
( store(a_27,i4,e_28) != a_27
| store(a_27,i4,e_30) = a_27 ),
inference(resolve,[$cnf( $equal(store(a_27,i4,e_30),store(a_27,i4,e_28)) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
store(a_27,i4,e_30) = a_27,
inference(resolve,[$cnf( $equal(store(a_27,i4,e_28),a_27) )],[refute_0_37,refute_0_62]) ).
cnf(refute_0_64,plain,
( a_29 != store(a_27,i4,e_30)
| store(a_27,i4,e_30) != a_27
| a_29 = a_27 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_29,a_27) ),[0],$fot(store(a_27,i4,e_30))]]) ).
cnf(refute_0_65,plain,
( a_29 != store(a_27,i4,e_30)
| a_29 = a_27 ),
inference(resolve,[$cnf( $equal(store(a_27,i4,e_30),a_27) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
a_29 = a_27,
inference(resolve,[$cnf( $equal(a_29,store(a_27,i4,e_30)) )],[refute_0_31,refute_0_65]) ).
cnf(refute_0_67,plain,
( a_29 != a_27
| a_29 != store(a_25,i4,e_28)
| a_27 = store(a_25,i4,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(a_29,store(a_25,i4,e_28)) ),[0],$fot(a_27)]]) ).
cnf(refute_0_68,plain,
( a_29 != store(a_25,i4,e_28)
| a_27 = store(a_25,i4,e_28) ),
inference(resolve,[$cnf( $equal(a_29,a_27) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
a_27 = store(a_25,i4,e_28),
inference(resolve,[$cnf( $equal(a_29,store(a_25,i4,e_28)) )],[hyp6,refute_0_68]) ).
cnf(refute_0_70,plain,
( a_27 != store(a_25,i4,e_28)
| store(a_25,i4,e_28) = a_27 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_27)),bind(Y,$fot(store(a_25,i4,e_28)))]]) ).
cnf(refute_0_71,plain,
store(a_25,i4,e_28) = a_27,
inference(resolve,[$cnf( $equal(a_27,store(a_25,i4,e_28)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
store(a_25,i4,e_30) = store(a_25,i4,e_30),
introduced(tautology,[refl,[$fot(store(a_25,i4,e_30))]]) ).
cnf(refute_0_73,plain,
( e_30 != e_28
| store(a_25,i4,e_30) != store(a_25,i4,e_30)
| store(a_25,i4,e_30) = store(a_25,i4,e_28) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_25,i4,e_30),store(a_25,i4,e_30)) ),[1,2],$fot(e_28)]]) ).
cnf(refute_0_74,plain,
( e_30 != e_28
| store(a_25,i4,e_30) = store(a_25,i4,e_28) ),
inference(resolve,[$cnf( $equal(store(a_25,i4,e_30),store(a_25,i4,e_30)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
store(a_25,i4,e_30) = store(a_25,i4,e_28),
inference(resolve,[$cnf( $equal(e_30,e_28) )],[refute_0_54,refute_0_74]) ).
cnf(refute_0_76,plain,
( store(a_25,i4,e_28) != a_27
| store(a_25,i4,e_30) != store(a_25,i4,e_28)
| store(a_25,i4,e_30) = a_27 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_25,i4,e_30))),bind(Y,$fot(store(a_25,i4,e_28))),bind(Z,$fot(a_27))]]) ).
cnf(refute_0_77,plain,
( store(a_25,i4,e_28) != a_27
| store(a_25,i4,e_30) = a_27 ),
inference(resolve,[$cnf( $equal(store(a_25,i4,e_30),store(a_25,i4,e_28)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
store(a_25,i4,e_30) = a_27,
inference(resolve,[$cnf( $equal(store(a_25,i4,e_28),a_27) )],[refute_0_71,refute_0_77]) ).
cnf(refute_0_79,plain,
( store(a_25,i4,e_30) != a_25
| store(a_25,i4,e_30) != a_27
| a_27 = a_25 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_25,i4,e_30),a_25) ),[0],$fot(a_27)]]) ).
cnf(refute_0_80,plain,
( store(a_25,i4,e_30) != a_25
| a_27 = a_25 ),
inference(resolve,[$cnf( $equal(store(a_25,i4,e_30),a_27) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
a_27 = a_25,
inference(resolve,[$cnf( $equal(store(a_25,i4,e_30),a_25) )],[refute_0_26,refute_0_80]) ).
cnf(refute_0_82,plain,
( a_27 != a_25
| a_27 != store(a_23,i3,e_26)
| a_25 = store(a_23,i3,e_26) ),
introduced(tautology,[equality,[$cnf( $equal(a_27,store(a_23,i3,e_26)) ),[0],$fot(a_25)]]) ).
cnf(refute_0_83,plain,
( a_27 != store(a_23,i3,e_26)
| a_25 = store(a_23,i3,e_26) ),
inference(resolve,[$cnf( $equal(a_27,a_25) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
a_25 = store(a_23,i3,e_26),
inference(resolve,[$cnf( $equal(a_27,store(a_23,i3,e_26)) )],[hyp5,refute_0_83]) ).
cnf(refute_0_85,plain,
store(a_23,i3,select(a_23,i3)) = a_23,
inference(subst,[],[a3:[bind(A,$fot(a_23)),bind(I,$fot(i3))]]) ).
cnf(refute_0_86,plain,
( e_24 != select(a_23,i3)
| select(a_23,i3) = e_24 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_24)),bind(Y,$fot(select(a_23,i3)))]]) ).
cnf(refute_0_87,plain,
select(a_23,i3) = e_24,
inference(resolve,[$cnf( $equal(e_24,select(a_23,i3)) )],[hyp12,refute_0_86]) ).
cnf(refute_0_88,plain,
( select(a_23,i3) != e_24
| store(a_23,i3,select(a_23,i3)) != a_23
| store(a_23,i3,e_24) = a_23 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_23,i3,select(a_23,i3)),a_23) ),[0,2],$fot(e_24)]]) ).
cnf(refute_0_89,plain,
( store(a_23,i3,select(a_23,i3)) != a_23
| store(a_23,i3,e_24) = a_23 ),
inference(resolve,[$cnf( $equal(select(a_23,i3),e_24) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
store(a_23,i3,e_24) = a_23,
inference(resolve,[$cnf( $equal(store(a_23,i3,select(a_23,i3)),a_23) )],[refute_0_85,refute_0_89]) ).
cnf(refute_0_91,plain,
select(store(a_23,i3,e_26),i3) = e_26,
inference(subst,[],[a1:[bind(A,$fot(a_23)),bind(E,$fot(e_26)),bind(I,$fot(i3))]]) ).
cnf(refute_0_92,plain,
( a_27 != store(a_23,i3,e_26)
| store(a_23,i3,e_26) = a_27 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_27)),bind(Y,$fot(store(a_23,i3,e_26)))]]) ).
cnf(refute_0_93,plain,
store(a_23,i3,e_26) = a_27,
inference(resolve,[$cnf( $equal(a_27,store(a_23,i3,e_26)) )],[hyp5,refute_0_92]) ).
cnf(refute_0_94,plain,
( select(store(a_23,i3,e_26),i3) != e_26
| store(a_23,i3,e_26) != a_27
| select(a_27,i3) = e_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_23,i3,e_26),i3),e_26) ),[0,0],$fot(a_27)]]) ).
cnf(refute_0_95,plain,
( select(store(a_23,i3,e_26),i3) != e_26
| select(a_27,i3) = e_26 ),
inference(resolve,[$cnf( $equal(store(a_23,i3,e_26),a_27) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
select(a_27,i3) = e_26,
inference(resolve,[$cnf( $equal(select(store(a_23,i3,e_26),i3),e_26) )],[refute_0_91,refute_0_95]) ).
cnf(refute_0_97,plain,
select(store(a_21,i3,e_24),i3) = e_24,
inference(subst,[],[a1:[bind(A,$fot(a_21)),bind(E,$fot(e_24)),bind(I,$fot(i3))]]) ).
cnf(refute_0_98,plain,
( a_25 != store(a_21,i3,e_24)
| store(a_21,i3,e_24) = a_25 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_25)),bind(Y,$fot(store(a_21,i3,e_24)))]]) ).
cnf(refute_0_99,plain,
store(a_21,i3,e_24) = a_25,
inference(resolve,[$cnf( $equal(a_25,store(a_21,i3,e_24)) )],[hyp4,refute_0_98]) ).
cnf(refute_0_100,plain,
( select(store(a_21,i3,e_24),i3) != e_24
| store(a_21,i3,e_24) != a_25
| select(a_25,i3) = e_24 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_21,i3,e_24),i3),e_24) ),[0,0],$fot(a_25)]]) ).
cnf(refute_0_101,plain,
( select(store(a_21,i3,e_24),i3) != e_24
| select(a_25,i3) = e_24 ),
inference(resolve,[$cnf( $equal(store(a_21,i3,e_24),a_25) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
select(a_25,i3) = e_24,
inference(resolve,[$cnf( $equal(select(store(a_21,i3,e_24),i3),e_24) )],[refute_0_97,refute_0_101]) ).
cnf(refute_0_103,plain,
select(a_27,i3) = select(a_27,i3),
introduced(tautology,[refl,[$fot(select(a_27,i3))]]) ).
cnf(refute_0_104,plain,
( a_27 != a_25
| select(a_27,i3) != select(a_27,i3)
| select(a_27,i3) = select(a_25,i3) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_27,i3),select(a_27,i3)) ),[1,0],$fot(a_25)]]) ).
cnf(refute_0_105,plain,
( a_27 != a_25
| select(a_27,i3) = select(a_25,i3) ),
inference(resolve,[$cnf( $equal(select(a_27,i3),select(a_27,i3)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
select(a_27,i3) = select(a_25,i3),
inference(resolve,[$cnf( $equal(a_27,a_25) )],[refute_0_81,refute_0_105]) ).
cnf(refute_0_107,plain,
( select(a_25,i3) != e_24
| select(a_27,i3) != select(a_25,i3)
| select(a_27,i3) = e_24 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(select(a_27,i3))),bind(Y,$fot(select(a_25,i3))),bind(Z,$fot(e_24))]]) ).
cnf(refute_0_108,plain,
( select(a_25,i3) != e_24
| select(a_27,i3) = e_24 ),
inference(resolve,[$cnf( $equal(select(a_27,i3),select(a_25,i3)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
select(a_27,i3) = e_24,
inference(resolve,[$cnf( $equal(select(a_25,i3),e_24) )],[refute_0_102,refute_0_108]) ).
cnf(refute_0_110,plain,
( select(a_27,i3) != e_24
| select(a_27,i3) != e_26
| e_24 = e_26 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_27,i3),e_26) ),[0],$fot(e_24)]]) ).
cnf(refute_0_111,plain,
( select(a_27,i3) != e_26
| e_24 = e_26 ),
inference(resolve,[$cnf( $equal(select(a_27,i3),e_24) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
e_24 = e_26,
inference(resolve,[$cnf( $equal(select(a_27,i3),e_26) )],[refute_0_96,refute_0_111]) ).
cnf(refute_0_113,plain,
( e_24 != e_26
| e_26 = e_24 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_24)),bind(Y,$fot(e_26))]]) ).
cnf(refute_0_114,plain,
e_26 = e_24,
inference(resolve,[$cnf( $equal(e_24,e_26) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
store(a_23,i3,e_26) = store(a_23,i3,e_26),
introduced(tautology,[refl,[$fot(store(a_23,i3,e_26))]]) ).
cnf(refute_0_116,plain,
( e_26 != e_24
| store(a_23,i3,e_26) != store(a_23,i3,e_26)
| store(a_23,i3,e_26) = store(a_23,i3,e_24) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_23,i3,e_26),store(a_23,i3,e_26)) ),[1,2],$fot(e_24)]]) ).
cnf(refute_0_117,plain,
( e_26 != e_24
| store(a_23,i3,e_26) = store(a_23,i3,e_24) ),
inference(resolve,[$cnf( $equal(store(a_23,i3,e_26),store(a_23,i3,e_26)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
store(a_23,i3,e_26) = store(a_23,i3,e_24),
inference(resolve,[$cnf( $equal(e_26,e_24) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( store(a_23,i3,e_24) != a_23
| store(a_23,i3,e_26) != store(a_23,i3,e_24)
| store(a_23,i3,e_26) = a_23 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_23,i3,e_26))),bind(Y,$fot(store(a_23,i3,e_24))),bind(Z,$fot(a_23))]]) ).
cnf(refute_0_120,plain,
( store(a_23,i3,e_24) != a_23
| store(a_23,i3,e_26) = a_23 ),
inference(resolve,[$cnf( $equal(store(a_23,i3,e_26),store(a_23,i3,e_24)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
store(a_23,i3,e_26) = a_23,
inference(resolve,[$cnf( $equal(store(a_23,i3,e_24),a_23) )],[refute_0_90,refute_0_120]) ).
cnf(refute_0_122,plain,
( a_25 != store(a_23,i3,e_26)
| store(a_23,i3,e_26) != a_23
| a_25 = a_23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_25,a_23) ),[0],$fot(store(a_23,i3,e_26))]]) ).
cnf(refute_0_123,plain,
( a_25 != store(a_23,i3,e_26)
| a_25 = a_23 ),
inference(resolve,[$cnf( $equal(store(a_23,i3,e_26),a_23) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
a_25 = a_23,
inference(resolve,[$cnf( $equal(a_25,store(a_23,i3,e_26)) )],[refute_0_84,refute_0_123]) ).
cnf(refute_0_125,plain,
( a_25 != a_23
| a_25 != store(a_21,i3,e_24)
| a_23 = store(a_21,i3,e_24) ),
introduced(tautology,[equality,[$cnf( $equal(a_25,store(a_21,i3,e_24)) ),[0],$fot(a_23)]]) ).
cnf(refute_0_126,plain,
( a_25 != store(a_21,i3,e_24)
| a_23 = store(a_21,i3,e_24) ),
inference(resolve,[$cnf( $equal(a_25,a_23) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
a_23 = store(a_21,i3,e_24),
inference(resolve,[$cnf( $equal(a_25,store(a_21,i3,e_24)) )],[hyp4,refute_0_126]) ).
cnf(refute_0_128,plain,
( a_23 != store(a_21,i3,e_24)
| store(a_21,i3,e_24) = a_23 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_23)),bind(Y,$fot(store(a_21,i3,e_24)))]]) ).
cnf(refute_0_129,plain,
store(a_21,i3,e_24) = a_23,
inference(resolve,[$cnf( $equal(a_23,store(a_21,i3,e_24)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
store(a_21,i3,e_26) = store(a_21,i3,e_26),
introduced(tautology,[refl,[$fot(store(a_21,i3,e_26))]]) ).
cnf(refute_0_131,plain,
( e_26 != e_24
| store(a_21,i3,e_26) != store(a_21,i3,e_26)
| store(a_21,i3,e_26) = store(a_21,i3,e_24) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_21,i3,e_26),store(a_21,i3,e_26)) ),[1,2],$fot(e_24)]]) ).
cnf(refute_0_132,plain,
( e_26 != e_24
| store(a_21,i3,e_26) = store(a_21,i3,e_24) ),
inference(resolve,[$cnf( $equal(store(a_21,i3,e_26),store(a_21,i3,e_26)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
store(a_21,i3,e_26) = store(a_21,i3,e_24),
inference(resolve,[$cnf( $equal(e_26,e_24) )],[refute_0_114,refute_0_132]) ).
cnf(refute_0_134,plain,
( store(a_21,i3,e_24) != a_23
| store(a_21,i3,e_26) != store(a_21,i3,e_24)
| store(a_21,i3,e_26) = a_23 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_21,i3,e_26))),bind(Y,$fot(store(a_21,i3,e_24))),bind(Z,$fot(a_23))]]) ).
cnf(refute_0_135,plain,
( store(a_21,i3,e_24) != a_23
| store(a_21,i3,e_26) = a_23 ),
inference(resolve,[$cnf( $equal(store(a_21,i3,e_26),store(a_21,i3,e_24)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
store(a_21,i3,e_26) = a_23,
inference(resolve,[$cnf( $equal(store(a_21,i3,e_24),a_23) )],[refute_0_129,refute_0_135]) ).
cnf(refute_0_137,plain,
( store(a_21,i3,e_26) != a_21
| store(a_21,i3,e_26) != a_23
| a_23 = a_21 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_21,i3,e_26),a_21) ),[0],$fot(a_23)]]) ).
cnf(refute_0_138,plain,
( store(a_21,i3,e_26) != a_21
| a_23 = a_21 ),
inference(resolve,[$cnf( $equal(store(a_21,i3,e_26),a_23) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
a_23 = a_21,
inference(resolve,[$cnf( $equal(store(a_21,i3,e_26),a_21) )],[refute_0_20,refute_0_138]) ).
cnf(refute_0_140,plain,
( a_23 != a_21
| a_23 != store(a_19,i2,e_22)
| a_21 = store(a_19,i2,e_22) ),
introduced(tautology,[equality,[$cnf( $equal(a_23,store(a_19,i2,e_22)) ),[0],$fot(a_21)]]) ).
cnf(refute_0_141,plain,
( a_23 != store(a_19,i2,e_22)
| a_21 = store(a_19,i2,e_22) ),
inference(resolve,[$cnf( $equal(a_23,a_21) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
a_21 = store(a_19,i2,e_22),
inference(resolve,[$cnf( $equal(a_23,store(a_19,i2,e_22)) )],[hyp3,refute_0_141]) ).
cnf(refute_0_143,plain,
store(a_19,i2,select(a_19,i2)) = a_19,
inference(subst,[],[a3:[bind(A,$fot(a_19)),bind(I,$fot(i2))]]) ).
cnf(refute_0_144,plain,
( e_20 != select(a_19,i2)
| select(a_19,i2) = e_20 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_20)),bind(Y,$fot(select(a_19,i2)))]]) ).
cnf(refute_0_145,plain,
select(a_19,i2) = e_20,
inference(resolve,[$cnf( $equal(e_20,select(a_19,i2)) )],[hyp10,refute_0_144]) ).
cnf(refute_0_146,plain,
( select(a_19,i2) != e_20
| store(a_19,i2,select(a_19,i2)) != a_19
| store(a_19,i2,e_20) = a_19 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_19,i2,select(a_19,i2)),a_19) ),[0,2],$fot(e_20)]]) ).
cnf(refute_0_147,plain,
( store(a_19,i2,select(a_19,i2)) != a_19
| store(a_19,i2,e_20) = a_19 ),
inference(resolve,[$cnf( $equal(select(a_19,i2),e_20) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
store(a_19,i2,e_20) = a_19,
inference(resolve,[$cnf( $equal(store(a_19,i2,select(a_19,i2)),a_19) )],[refute_0_143,refute_0_147]) ).
cnf(refute_0_149,plain,
select(store(a_19,i2,e_22),i2) = e_22,
inference(subst,[],[a1:[bind(A,$fot(a_19)),bind(E,$fot(e_22)),bind(I,$fot(i2))]]) ).
cnf(refute_0_150,plain,
( a_23 != store(a_19,i2,e_22)
| store(a_19,i2,e_22) = a_23 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_23)),bind(Y,$fot(store(a_19,i2,e_22)))]]) ).
cnf(refute_0_151,plain,
store(a_19,i2,e_22) = a_23,
inference(resolve,[$cnf( $equal(a_23,store(a_19,i2,e_22)) )],[hyp3,refute_0_150]) ).
cnf(refute_0_152,plain,
( select(store(a_19,i2,e_22),i2) != e_22
| store(a_19,i2,e_22) != a_23
| select(a_23,i2) = e_22 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_19,i2,e_22),i2),e_22) ),[0,0],$fot(a_23)]]) ).
cnf(refute_0_153,plain,
( select(store(a_19,i2,e_22),i2) != e_22
| select(a_23,i2) = e_22 ),
inference(resolve,[$cnf( $equal(store(a_19,i2,e_22),a_23) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
select(a_23,i2) = e_22,
inference(resolve,[$cnf( $equal(select(store(a_19,i2,e_22),i2),e_22) )],[refute_0_149,refute_0_153]) ).
cnf(refute_0_155,plain,
select(store(a_17,i2,e_20),i2) = e_20,
inference(subst,[],[a1:[bind(A,$fot(a_17)),bind(E,$fot(e_20)),bind(I,$fot(i2))]]) ).
cnf(refute_0_156,plain,
( a_21 != store(a_17,i2,e_20)
| store(a_17,i2,e_20) = a_21 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_21)),bind(Y,$fot(store(a_17,i2,e_20)))]]) ).
cnf(refute_0_157,plain,
store(a_17,i2,e_20) = a_21,
inference(resolve,[$cnf( $equal(a_21,store(a_17,i2,e_20)) )],[hyp2,refute_0_156]) ).
cnf(refute_0_158,plain,
( select(store(a_17,i2,e_20),i2) != e_20
| store(a_17,i2,e_20) != a_21
| select(a_21,i2) = e_20 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_17,i2,e_20),i2),e_20) ),[0,0],$fot(a_21)]]) ).
cnf(refute_0_159,plain,
( select(store(a_17,i2,e_20),i2) != e_20
| select(a_21,i2) = e_20 ),
inference(resolve,[$cnf( $equal(store(a_17,i2,e_20),a_21) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
select(a_21,i2) = e_20,
inference(resolve,[$cnf( $equal(select(store(a_17,i2,e_20),i2),e_20) )],[refute_0_155,refute_0_159]) ).
cnf(refute_0_161,plain,
select(a_23,i2) = select(a_23,i2),
introduced(tautology,[refl,[$fot(select(a_23,i2))]]) ).
cnf(refute_0_162,plain,
( a_23 != a_21
| select(a_23,i2) != select(a_23,i2)
| select(a_23,i2) = select(a_21,i2) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_23,i2),select(a_23,i2)) ),[1,0],$fot(a_21)]]) ).
cnf(refute_0_163,plain,
( a_23 != a_21
| select(a_23,i2) = select(a_21,i2) ),
inference(resolve,[$cnf( $equal(select(a_23,i2),select(a_23,i2)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
select(a_23,i2) = select(a_21,i2),
inference(resolve,[$cnf( $equal(a_23,a_21) )],[refute_0_139,refute_0_163]) ).
cnf(refute_0_165,plain,
( select(a_21,i2) != e_20
| select(a_23,i2) != select(a_21,i2)
| select(a_23,i2) = e_20 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(select(a_23,i2))),bind(Y,$fot(select(a_21,i2))),bind(Z,$fot(e_20))]]) ).
cnf(refute_0_166,plain,
( select(a_21,i2) != e_20
| select(a_23,i2) = e_20 ),
inference(resolve,[$cnf( $equal(select(a_23,i2),select(a_21,i2)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
select(a_23,i2) = e_20,
inference(resolve,[$cnf( $equal(select(a_21,i2),e_20) )],[refute_0_160,refute_0_166]) ).
cnf(refute_0_168,plain,
( select(a_23,i2) != e_20
| select(a_23,i2) != e_22
| e_20 = e_22 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_23,i2),e_22) ),[0],$fot(e_20)]]) ).
cnf(refute_0_169,plain,
( select(a_23,i2) != e_22
| e_20 = e_22 ),
inference(resolve,[$cnf( $equal(select(a_23,i2),e_20) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
e_20 = e_22,
inference(resolve,[$cnf( $equal(select(a_23,i2),e_22) )],[refute_0_154,refute_0_169]) ).
cnf(refute_0_171,plain,
( e_20 != e_22
| e_22 = e_20 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_20)),bind(Y,$fot(e_22))]]) ).
cnf(refute_0_172,plain,
e_22 = e_20,
inference(resolve,[$cnf( $equal(e_20,e_22) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
store(a_19,i2,e_22) = store(a_19,i2,e_22),
introduced(tautology,[refl,[$fot(store(a_19,i2,e_22))]]) ).
cnf(refute_0_174,plain,
( e_22 != e_20
| store(a_19,i2,e_22) != store(a_19,i2,e_22)
| store(a_19,i2,e_22) = store(a_19,i2,e_20) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_19,i2,e_22),store(a_19,i2,e_22)) ),[1,2],$fot(e_20)]]) ).
cnf(refute_0_175,plain,
( e_22 != e_20
| store(a_19,i2,e_22) = store(a_19,i2,e_20) ),
inference(resolve,[$cnf( $equal(store(a_19,i2,e_22),store(a_19,i2,e_22)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
store(a_19,i2,e_22) = store(a_19,i2,e_20),
inference(resolve,[$cnf( $equal(e_22,e_20) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( store(a_19,i2,e_20) != a_19
| store(a_19,i2,e_22) != store(a_19,i2,e_20)
| store(a_19,i2,e_22) = a_19 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_19,i2,e_22))),bind(Y,$fot(store(a_19,i2,e_20))),bind(Z,$fot(a_19))]]) ).
cnf(refute_0_178,plain,
( store(a_19,i2,e_20) != a_19
| store(a_19,i2,e_22) = a_19 ),
inference(resolve,[$cnf( $equal(store(a_19,i2,e_22),store(a_19,i2,e_20)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
store(a_19,i2,e_22) = a_19,
inference(resolve,[$cnf( $equal(store(a_19,i2,e_20),a_19) )],[refute_0_148,refute_0_178]) ).
cnf(refute_0_180,plain,
( a_21 != store(a_19,i2,e_22)
| store(a_19,i2,e_22) != a_19
| a_21 = a_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_21,a_19) ),[0],$fot(store(a_19,i2,e_22))]]) ).
cnf(refute_0_181,plain,
( a_21 != store(a_19,i2,e_22)
| a_21 = a_19 ),
inference(resolve,[$cnf( $equal(store(a_19,i2,e_22),a_19) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
a_21 = a_19,
inference(resolve,[$cnf( $equal(a_21,store(a_19,i2,e_22)) )],[refute_0_142,refute_0_181]) ).
cnf(refute_0_183,plain,
( a_21 != a_19
| a_21 != store(a_17,i2,e_20)
| a_19 = store(a_17,i2,e_20) ),
introduced(tautology,[equality,[$cnf( $equal(a_21,store(a_17,i2,e_20)) ),[0],$fot(a_19)]]) ).
cnf(refute_0_184,plain,
( a_21 != store(a_17,i2,e_20)
| a_19 = store(a_17,i2,e_20) ),
inference(resolve,[$cnf( $equal(a_21,a_19) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
a_19 = store(a_17,i2,e_20),
inference(resolve,[$cnf( $equal(a_21,store(a_17,i2,e_20)) )],[hyp2,refute_0_184]) ).
cnf(refute_0_186,plain,
( a_19 != store(a_17,i2,e_20)
| store(a_17,i2,e_20) = a_19 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_19)),bind(Y,$fot(store(a_17,i2,e_20)))]]) ).
cnf(refute_0_187,plain,
store(a_17,i2,e_20) = a_19,
inference(resolve,[$cnf( $equal(a_19,store(a_17,i2,e_20)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
store(a_17,i2,e_22) = store(a_17,i2,e_22),
introduced(tautology,[refl,[$fot(store(a_17,i2,e_22))]]) ).
cnf(refute_0_189,plain,
( e_22 != e_20
| store(a_17,i2,e_22) != store(a_17,i2,e_22)
| store(a_17,i2,e_22) = store(a_17,i2,e_20) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_17,i2,e_22),store(a_17,i2,e_22)) ),[1,2],$fot(e_20)]]) ).
cnf(refute_0_190,plain,
( e_22 != e_20
| store(a_17,i2,e_22) = store(a_17,i2,e_20) ),
inference(resolve,[$cnf( $equal(store(a_17,i2,e_22),store(a_17,i2,e_22)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
store(a_17,i2,e_22) = store(a_17,i2,e_20),
inference(resolve,[$cnf( $equal(e_22,e_20) )],[refute_0_172,refute_0_190]) ).
cnf(refute_0_192,plain,
( store(a_17,i2,e_20) != a_19
| store(a_17,i2,e_22) != store(a_17,i2,e_20)
| store(a_17,i2,e_22) = a_19 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a_17,i2,e_22))),bind(Y,$fot(store(a_17,i2,e_20))),bind(Z,$fot(a_19))]]) ).
cnf(refute_0_193,plain,
( store(a_17,i2,e_20) != a_19
| store(a_17,i2,e_22) = a_19 ),
inference(resolve,[$cnf( $equal(store(a_17,i2,e_22),store(a_17,i2,e_20)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
store(a_17,i2,e_22) = a_19,
inference(resolve,[$cnf( $equal(store(a_17,i2,e_20),a_19) )],[refute_0_187,refute_0_193]) ).
cnf(refute_0_195,plain,
( store(a_17,i2,e_22) != a_17
| store(a_17,i2,e_22) != a_19
| a_19 = a_17 ),
introduced(tautology,[equality,[$cnf( $equal(store(a_17,i2,e_22),a_17) ),[0],$fot(a_19)]]) ).
cnf(refute_0_196,plain,
( store(a_17,i2,e_22) != a_17
| a_19 = a_17 ),
inference(resolve,[$cnf( $equal(store(a_17,i2,e_22),a_19) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
a_19 = a_17,
inference(resolve,[$cnf( $equal(store(a_17,i2,e_22),a_17) )],[refute_0_14,refute_0_196]) ).
cnf(refute_0_198,plain,
( a_19 != a_17
| a_19 != store(a2,i1,e_18)
| a_17 = store(a2,i1,e_18) ),
introduced(tautology,[equality,[$cnf( $equal(a_19,store(a2,i1,e_18)) ),[0],$fot(a_17)]]) ).
cnf(refute_0_199,plain,
( a_19 != store(a2,i1,e_18)
| a_17 = store(a2,i1,e_18) ),
inference(resolve,[$cnf( $equal(a_19,a_17) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
a_17 = store(a2,i1,e_18),
inference(resolve,[$cnf( $equal(a_19,store(a2,i1,e_18)) )],[hyp1,refute_0_199]) ).
cnf(refute_0_201,plain,
store(a2,i1,select(a2,i1)) = a2,
inference(subst,[],[a3:[bind(A,$fot(a2)),bind(I,$fot(i1))]]) ).
cnf(refute_0_202,plain,
( e_16 != select(a2,i1)
| select(a2,i1) = e_16 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_16)),bind(Y,$fot(select(a2,i1)))]]) ).
cnf(refute_0_203,plain,
select(a2,i1) = e_16,
inference(resolve,[$cnf( $equal(e_16,select(a2,i1)) )],[hyp8,refute_0_202]) ).
cnf(refute_0_204,plain,
( select(a2,i1) != e_16
| store(a2,i1,select(a2,i1)) != a2
| store(a2,i1,e_16) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(store(a2,i1,select(a2,i1)),a2) ),[0,2],$fot(e_16)]]) ).
cnf(refute_0_205,plain,
( store(a2,i1,select(a2,i1)) != a2
| store(a2,i1,e_16) = a2 ),
inference(resolve,[$cnf( $equal(select(a2,i1),e_16) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
store(a2,i1,e_16) = a2,
inference(resolve,[$cnf( $equal(store(a2,i1,select(a2,i1)),a2) )],[refute_0_201,refute_0_205]) ).
cnf(refute_0_207,plain,
select(store(a2,i1,e_18),i1) = e_18,
inference(subst,[],[a1:[bind(A,$fot(a2)),bind(E,$fot(e_18)),bind(I,$fot(i1))]]) ).
cnf(refute_0_208,plain,
( a_19 != store(a2,i1,e_18)
| store(a2,i1,e_18) = a_19 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_19)),bind(Y,$fot(store(a2,i1,e_18)))]]) ).
cnf(refute_0_209,plain,
store(a2,i1,e_18) = a_19,
inference(resolve,[$cnf( $equal(a_19,store(a2,i1,e_18)) )],[hyp1,refute_0_208]) ).
cnf(refute_0_210,plain,
( select(store(a2,i1,e_18),i1) != e_18
| store(a2,i1,e_18) != a_19
| select(a_19,i1) = e_18 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a2,i1,e_18),i1),e_18) ),[0,0],$fot(a_19)]]) ).
cnf(refute_0_211,plain,
( select(store(a2,i1,e_18),i1) != e_18
| select(a_19,i1) = e_18 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_18),a_19) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
select(a_19,i1) = e_18,
inference(resolve,[$cnf( $equal(select(store(a2,i1,e_18),i1),e_18) )],[refute_0_207,refute_0_211]) ).
cnf(refute_0_213,plain,
select(store(a1,i1,e_16),i1) = e_16,
inference(subst,[],[a1:[bind(A,$fot(a1)),bind(E,$fot(e_16)),bind(I,$fot(i1))]]) ).
cnf(refute_0_214,plain,
( a_17 != store(a1,i1,e_16)
| store(a1,i1,e_16) = a_17 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a_17)),bind(Y,$fot(store(a1,i1,e_16)))]]) ).
cnf(refute_0_215,plain,
store(a1,i1,e_16) = a_17,
inference(resolve,[$cnf( $equal(a_17,store(a1,i1,e_16)) )],[hyp0,refute_0_214]) ).
cnf(refute_0_216,plain,
( select(store(a1,i1,e_16),i1) != e_16
| store(a1,i1,e_16) != a_17
| select(a_17,i1) = e_16 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a1,i1,e_16),i1),e_16) ),[0,0],$fot(a_17)]]) ).
cnf(refute_0_217,plain,
( select(store(a1,i1,e_16),i1) != e_16
| select(a_17,i1) = e_16 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_16),a_17) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
select(a_17,i1) = e_16,
inference(resolve,[$cnf( $equal(select(store(a1,i1,e_16),i1),e_16) )],[refute_0_213,refute_0_217]) ).
cnf(refute_0_219,plain,
select(a_19,i1) = select(a_19,i1),
introduced(tautology,[refl,[$fot(select(a_19,i1))]]) ).
cnf(refute_0_220,plain,
( a_19 != a_17
| select(a_19,i1) != select(a_19,i1)
| select(a_19,i1) = select(a_17,i1) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_19,i1),select(a_19,i1)) ),[1,0],$fot(a_17)]]) ).
cnf(refute_0_221,plain,
( a_19 != a_17
| select(a_19,i1) = select(a_17,i1) ),
inference(resolve,[$cnf( $equal(select(a_19,i1),select(a_19,i1)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
select(a_19,i1) = select(a_17,i1),
inference(resolve,[$cnf( $equal(a_19,a_17) )],[refute_0_197,refute_0_221]) ).
cnf(refute_0_223,plain,
( select(a_17,i1) != e_16
| select(a_19,i1) != select(a_17,i1)
| select(a_19,i1) = e_16 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(select(a_19,i1))),bind(Y,$fot(select(a_17,i1))),bind(Z,$fot(e_16))]]) ).
cnf(refute_0_224,plain,
( select(a_17,i1) != e_16
| select(a_19,i1) = e_16 ),
inference(resolve,[$cnf( $equal(select(a_19,i1),select(a_17,i1)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
select(a_19,i1) = e_16,
inference(resolve,[$cnf( $equal(select(a_17,i1),e_16) )],[refute_0_218,refute_0_224]) ).
cnf(refute_0_226,plain,
( select(a_19,i1) != e_16
| select(a_19,i1) != e_18
| e_16 = e_18 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_19,i1),e_18) ),[0],$fot(e_16)]]) ).
cnf(refute_0_227,plain,
( select(a_19,i1) != e_18
| e_16 = e_18 ),
inference(resolve,[$cnf( $equal(select(a_19,i1),e_16) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
e_16 = e_18,
inference(resolve,[$cnf( $equal(select(a_19,i1),e_18) )],[refute_0_212,refute_0_227]) ).
cnf(refute_0_229,plain,
( e_16 != e_18
| e_18 = e_16 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(e_16)),bind(Y,$fot(e_18))]]) ).
cnf(refute_0_230,plain,
e_18 = e_16,
inference(resolve,[$cnf( $equal(e_16,e_18) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
store(a2,i1,e_18) = store(a2,i1,e_18),
introduced(tautology,[refl,[$fot(store(a2,i1,e_18))]]) ).
cnf(refute_0_232,plain,
( e_18 != e_16
| store(a2,i1,e_18) != store(a2,i1,e_18)
| store(a2,i1,e_18) = store(a2,i1,e_16) ),
introduced(tautology,[equality,[$cnf( $equal(store(a2,i1,e_18),store(a2,i1,e_18)) ),[1,2],$fot(e_16)]]) ).
cnf(refute_0_233,plain,
( e_18 != e_16
| store(a2,i1,e_18) = store(a2,i1,e_16) ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_18),store(a2,i1,e_18)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
store(a2,i1,e_18) = store(a2,i1,e_16),
inference(resolve,[$cnf( $equal(e_18,e_16) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( store(a2,i1,e_16) != a2
| store(a2,i1,e_18) != store(a2,i1,e_16)
| store(a2,i1,e_18) = a2 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a2,i1,e_18))),bind(Y,$fot(store(a2,i1,e_16))),bind(Z,$fot(a2))]]) ).
cnf(refute_0_236,plain,
( store(a2,i1,e_16) != a2
| store(a2,i1,e_18) = a2 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_18),store(a2,i1,e_16)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
store(a2,i1,e_18) = a2,
inference(resolve,[$cnf( $equal(store(a2,i1,e_16),a2) )],[refute_0_206,refute_0_236]) ).
cnf(refute_0_238,plain,
( a_17 != store(a2,i1,e_18)
| store(a2,i1,e_18) != a2
| a_17 = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_17,a2) ),[0],$fot(store(a2,i1,e_18))]]) ).
cnf(refute_0_239,plain,
( a_17 != store(a2,i1,e_18)
| a_17 = a2 ),
inference(resolve,[$cnf( $equal(store(a2,i1,e_18),a2) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
a_17 = a2,
inference(resolve,[$cnf( $equal(a_17,store(a2,i1,e_18)) )],[refute_0_200,refute_0_239]) ).
cnf(refute_0_241,plain,
( a_17 != a2
| a_17 != store(a1,i1,e_16)
| a2 = store(a1,i1,e_16) ),
introduced(tautology,[equality,[$cnf( $equal(a_17,store(a1,i1,e_16)) ),[0],$fot(a2)]]) ).
cnf(refute_0_242,plain,
( a_17 != store(a1,i1,e_16)
| a2 = store(a1,i1,e_16) ),
inference(resolve,[$cnf( $equal(a_17,a2) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
a2 = store(a1,i1,e_16),
inference(resolve,[$cnf( $equal(a_17,store(a1,i1,e_16)) )],[hyp0,refute_0_242]) ).
cnf(refute_0_244,plain,
( a2 != store(a1,i1,e_16)
| store(a1,i1,e_16) = a2 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a2)),bind(Y,$fot(store(a1,i1,e_16)))]]) ).
cnf(refute_0_245,plain,
store(a1,i1,e_16) = a2,
inference(resolve,[$cnf( $equal(a2,store(a1,i1,e_16)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
store(a1,i1,e_18) = store(a1,i1,e_18),
introduced(tautology,[refl,[$fot(store(a1,i1,e_18))]]) ).
cnf(refute_0_247,plain,
( e_18 != e_16
| store(a1,i1,e_18) != store(a1,i1,e_18)
| store(a1,i1,e_18) = store(a1,i1,e_16) ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,e_18),store(a1,i1,e_18)) ),[1,2],$fot(e_16)]]) ).
cnf(refute_0_248,plain,
( e_18 != e_16
| store(a1,i1,e_18) = store(a1,i1,e_16) ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_18),store(a1,i1,e_18)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
store(a1,i1,e_18) = store(a1,i1,e_16),
inference(resolve,[$cnf( $equal(e_18,e_16) )],[refute_0_230,refute_0_248]) ).
cnf(refute_0_250,plain,
( store(a1,i1,e_16) != a2
| store(a1,i1,e_18) != store(a1,i1,e_16)
| store(a1,i1,e_18) = a2 ),
inference(subst,[],[refute_0_60:[bind(X,$fot(store(a1,i1,e_18))),bind(Y,$fot(store(a1,i1,e_16))),bind(Z,$fot(a2))]]) ).
cnf(refute_0_251,plain,
( store(a1,i1,e_16) != a2
| store(a1,i1,e_18) = a2 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_18),store(a1,i1,e_16)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
store(a1,i1,e_18) = a2,
inference(resolve,[$cnf( $equal(store(a1,i1,e_16),a2) )],[refute_0_245,refute_0_251]) ).
cnf(refute_0_253,plain,
( store(a1,i1,e_18) != a1
| store(a1,i1,e_18) != a2
| a2 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(store(a1,i1,e_18),a1) ),[0],$fot(a2)]]) ).
cnf(refute_0_254,plain,
( store(a1,i1,e_18) != a1
| a2 = a1 ),
inference(resolve,[$cnf( $equal(store(a1,i1,e_18),a2) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
a2 = a1,
inference(resolve,[$cnf( $equal(store(a1,i1,e_18),a1) )],[refute_0_8,refute_0_254]) ).
cnf(refute_0_256,plain,
( a2 != a1
| a1 = a2 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(a2)),bind(Y,$fot(a1))]]) ).
cnf(refute_0_257,plain,
a2 != a1,
inference(resolve,[$cnf( $equal(a1,a2) )],[refute_0_256,goal]) ).
cnf(refute_0_258,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_255,refute_0_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 22:49:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39
%------------------------------------------------------------------------------