TSTP Solution File: SWV543-1.004 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 20:35:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 104
% Syntax : Number of clauses : 298 ( 140 unt; 0 nHn; 279 RR)
% Number of literals : 524 ( 523 equ; 227 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 47 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(A,I,E),I) = E ).
cnf(a3,axiom,
store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ).
cnf(hyp2,hypothesis,
a_420 = store(a_418,i0,e_419) ).
cnf(hyp3,hypothesis,
a_422 = store(a_420,i3,e_421) ).
cnf(hyp4,hypothesis,
a_424 = store(a_422,i3,e_423) ).
cnf(hyp5,hypothesis,
a_426 = store(a_424,i2,e_425) ).
cnf(hyp6,hypothesis,
a_428 = store(a_426,i2,e_427) ).
cnf(hyp7,hypothesis,
a_430 = store(a_428,i0,e_429) ).
cnf(hyp8,hypothesis,
a_431 = store(a_418,i3,e_421) ).
cnf(hyp9,hypothesis,
a_432 = store(a_431,i0,e_419) ).
cnf(hyp10,hypothesis,
a_434 = store(a_432,i3,e_433) ).
cnf(hyp11,hypothesis,
a_436 = store(a_434,i2,e_435) ).
cnf(hyp12,hypothesis,
a_438 = store(a_436,i0,e_437) ).
cnf(hyp13,hypothesis,
a_440 = store(a_438,i2,e_439) ).
cnf(hyp15,hypothesis,
e_419 = select(a_418,i3) ).
cnf(hyp16,hypothesis,
e_421 = select(a_418,i0) ).
cnf(hyp17,hypothesis,
e_423 = select(a_422,i2) ).
cnf(hyp18,hypothesis,
e_425 = select(a_422,i3) ).
cnf(hyp19,hypothesis,
e_427 = select(a_426,i0) ).
cnf(hyp20,hypothesis,
e_429 = select(a_426,i2) ).
cnf(hyp21,hypothesis,
e_433 = select(a_432,i2) ).
cnf(hyp22,hypothesis,
e_435 = select(a_432,i3) ).
cnf(hyp23,hypothesis,
e_437 = select(a_436,i2) ).
cnf(hyp24,hypothesis,
e_439 = select(a_436,i0) ).
cnf(goal,negated_conjecture,
a_430 != a_440 ).
cnf(refute_0_0,plain,
store(store(a_426,i2,select(a_426,X_38)),X_38,select(a_426,i2)) = store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),
inference(subst,[],[a3:[bind(A,$fot(a_426)),bind(I,$fot(i2)),bind(J,$fot(X_38))]]) ).
cnf(refute_0_1,plain,
select(store(a_424,i2,e_425),i2) = e_425,
inference(subst,[],[a1:[bind(A,$fot(a_424)),bind(E,$fot(e_425)),bind(I,$fot(i2))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( a_426 != store(a_424,i2,e_425)
| store(a_424,i2,e_425) = a_426 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_426)),bind(Y,$fot(store(a_424,i2,e_425)))]]) ).
cnf(refute_0_6,plain,
store(a_424,i2,e_425) = a_426,
inference(resolve,[$cnf( $equal(a_426,store(a_424,i2,e_425)) )],[hyp5,refute_0_5]) ).
cnf(refute_0_7,plain,
( select(store(a_424,i2,e_425),i2) != e_425
| store(a_424,i2,e_425) != a_426
| select(a_426,i2) = e_425 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_424,i2,e_425),i2),e_425) ),[0,0],$fot(a_426)]]) ).
cnf(refute_0_8,plain,
( select(store(a_424,i2,e_425),i2) != e_425
| select(a_426,i2) = e_425 ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_425),a_426) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
select(a_426,i2) = e_425,
inference(resolve,[$cnf( $equal(select(store(a_424,i2,e_425),i2),e_425) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
( e_429 != select(a_426,i2)
| select(a_426,i2) = e_429 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_429)),bind(Y,$fot(select(a_426,i2)))]]) ).
cnf(refute_0_11,plain,
select(a_426,i2) = e_429,
inference(resolve,[$cnf( $equal(e_429,select(a_426,i2)) )],[hyp20,refute_0_10]) ).
cnf(refute_0_12,plain,
( select(a_426,i2) != e_425
| select(a_426,i2) != e_429
| e_429 = e_425 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_426,i2),e_425) ),[0],$fot(e_429)]]) ).
cnf(refute_0_13,plain,
( select(a_426,i2) != e_425
| e_429 = e_425 ),
inference(resolve,[$cnf( $equal(select(a_426,i2),e_429) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
select(store(a_420,i3,e_421),i3) = e_421,
inference(subst,[],[a1:[bind(A,$fot(a_420)),bind(E,$fot(e_421)),bind(I,$fot(i3))]]) ).
cnf(refute_0_15,plain,
( a_422 != store(a_420,i3,e_421)
| store(a_420,i3,e_421) = a_422 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_422)),bind(Y,$fot(store(a_420,i3,e_421)))]]) ).
cnf(refute_0_16,plain,
store(a_420,i3,e_421) = a_422,
inference(resolve,[$cnf( $equal(a_422,store(a_420,i3,e_421)) )],[hyp3,refute_0_15]) ).
cnf(refute_0_17,plain,
( select(store(a_420,i3,e_421),i3) != e_421
| store(a_420,i3,e_421) != a_422
| select(a_422,i3) = e_421 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_420,i3,e_421),i3),e_421) ),[0,0],$fot(a_422)]]) ).
cnf(refute_0_18,plain,
( select(store(a_420,i3,e_421),i3) != e_421
| select(a_422,i3) = e_421 ),
inference(resolve,[$cnf( $equal(store(a_420,i3,e_421),a_422) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
select(a_422,i3) = e_421,
inference(resolve,[$cnf( $equal(select(store(a_420,i3,e_421),i3),e_421) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( e_425 != select(a_422,i3)
| select(a_422,i3) = e_425 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_425)),bind(Y,$fot(select(a_422,i3)))]]) ).
cnf(refute_0_21,plain,
select(a_422,i3) = e_425,
inference(resolve,[$cnf( $equal(e_425,select(a_422,i3)) )],[hyp18,refute_0_20]) ).
cnf(refute_0_22,plain,
( select(a_422,i3) != e_421
| select(a_422,i3) != e_425
| e_425 = e_421 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_422,i3),e_421) ),[0],$fot(e_425)]]) ).
cnf(refute_0_23,plain,
( select(a_422,i3) != e_421
| e_425 = e_421 ),
inference(resolve,[$cnf( $equal(select(a_422,i3),e_425) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
e_425 = e_421,
inference(resolve,[$cnf( $equal(select(a_422,i3),e_421) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
( e_425 != e_421
| e_429 != e_425
| e_429 = e_421 ),
introduced(tautology,[equality,[$cnf( $equal(e_429,e_425) ),[1],$fot(e_421)]]) ).
cnf(refute_0_26,plain,
( e_429 != e_425
| e_429 = e_421 ),
inference(resolve,[$cnf( $equal(e_425,e_421) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( select(a_426,i2) != e_425
| e_429 = e_421 ),
inference(resolve,[$cnf( $equal(e_429,e_425) )],[refute_0_13,refute_0_26]) ).
cnf(refute_0_28,plain,
e_429 = e_421,
inference(resolve,[$cnf( $equal(select(a_426,i2),e_425) )],[refute_0_9,refute_0_27]) ).
cnf(refute_0_29,plain,
( e_429 != e_421
| e_429 != select(a_426,i2)
| e_421 = select(a_426,i2) ),
introduced(tautology,[equality,[$cnf( $equal(e_429,select(a_426,i2)) ),[0],$fot(e_421)]]) ).
cnf(refute_0_30,plain,
( e_429 != select(a_426,i2)
| e_421 = select(a_426,i2) ),
inference(resolve,[$cnf( $equal(e_429,e_421) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
e_421 = select(a_426,i2),
inference(resolve,[$cnf( $equal(e_429,select(a_426,i2)) )],[hyp20,refute_0_30]) ).
cnf(refute_0_32,plain,
( e_421 != select(a_426,i2)
| select(a_426,i2) = e_421 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_421)),bind(Y,$fot(select(a_426,i2)))]]) ).
cnf(refute_0_33,plain,
select(a_426,i2) = e_421,
inference(resolve,[$cnf( $equal(e_421,select(a_426,i2)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( select(a_426,i2) != e_421
| store(store(a_426,i2,select(a_426,X_38)),X_38,select(a_426,i2)) != store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))
| store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i2,select(a_426,X_38)),X_38,select(a_426,i2)),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) ),[0,2],$fot(e_421)]]) ).
cnf(refute_0_35,plain,
( store(store(a_426,i2,select(a_426,X_38)),X_38,select(a_426,i2)) != store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))
| store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) ),
inference(resolve,[$cnf( $equal(select(a_426,i2),e_421) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,select(a_426,X_38)),X_38,select(a_426,i2)),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) )],[refute_0_0,refute_0_35]) ).
cnf(refute_0_37,plain,
store(a_426,X_38,select(a_426,i2)) = store(a_426,X_38,select(a_426,i2)),
introduced(tautology,[refl,[$fot(store(a_426,X_38,select(a_426,i2)))]]) ).
cnf(refute_0_38,plain,
( select(a_426,i2) != e_421
| store(a_426,X_38,select(a_426,i2)) != store(a_426,X_38,select(a_426,i2))
| store(a_426,X_38,select(a_426,i2)) = store(a_426,X_38,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_426,X_38,select(a_426,i2)),store(a_426,X_38,select(a_426,i2))) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_39,plain,
( select(a_426,i2) != e_421
| store(a_426,X_38,select(a_426,i2)) = store(a_426,X_38,e_421) ),
inference(resolve,[$cnf( $equal(store(a_426,X_38,select(a_426,i2)),store(a_426,X_38,select(a_426,i2))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
store(a_426,X_38,select(a_426,i2)) = store(a_426,X_38,e_421),
inference(resolve,[$cnf( $equal(select(a_426,i2),e_421) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) = store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),
introduced(tautology,[refl,[$fot(store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)))]]) ).
cnf(refute_0_42,plain,
( store(a_426,X_38,select(a_426,i2)) != store(a_426,X_38,e_421)
| store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) != store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))
| store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) ),[1,0],$fot(store(a_426,X_38,e_421))]]) ).
cnf(refute_0_43,plain,
( store(a_426,X_38,select(a_426,i2)) != store(a_426,X_38,e_421)
| store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)) ),
inference(resolve,[$cnf( $equal(store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)),
inference(resolve,[$cnf( $equal(store(a_426,X_38,select(a_426,i2)),store(a_426,X_38,e_421)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
( store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)) != store(store(a_426,X_38,e_421),i2,select(a_426,X_38))
| store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) != store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))
| store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i2,select(a_426,X_38)),X_38,e_421),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) ),[1],$fot(store(store(a_426,X_38,e_421),i2,select(a_426,X_38)))]]) ).
cnf(refute_0_46,plain,
( store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) != store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))
| store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)) ),
inference(resolve,[$cnf( $equal(store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38)),store(store(a_426,X_38,e_421),i2,select(a_426,X_38))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
store(store(a_426,i2,select(a_426,X_38)),X_38,e_421) = store(store(a_426,X_38,e_421),i2,select(a_426,X_38)),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,select(a_426,X_38)),X_38,e_421),store(store(a_426,X_38,select(a_426,i2)),i2,select(a_426,X_38))) )],[refute_0_36,refute_0_46]) ).
cnf(refute_0_48,plain,
store(store(a_426,i2,select(a_426,i0)),i0,e_421) = store(store(a_426,i0,e_421),i2,select(a_426,i0)),
inference(subst,[],[refute_0_47:[bind(X_38,$fot(i0))]]) ).
cnf(refute_0_49,plain,
( e_427 != select(a_426,i0)
| select(a_426,i0) = e_427 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_427)),bind(Y,$fot(select(a_426,i0)))]]) ).
cnf(refute_0_50,plain,
select(a_426,i0) = e_427,
inference(resolve,[$cnf( $equal(e_427,select(a_426,i0)) )],[hyp19,refute_0_49]) ).
cnf(refute_0_51,plain,
( select(a_426,i0) != e_427
| store(store(a_426,i2,select(a_426,i0)),i0,e_421) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| store(store(a_426,i2,e_427),i0,e_421) = store(store(a_426,i0,e_421),i2,select(a_426,i0)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i2,select(a_426,i0)),i0,e_421),store(store(a_426,i0,e_421),i2,select(a_426,i0))) ),[0,0,2],$fot(e_427)]]) ).
cnf(refute_0_52,plain,
( store(store(a_426,i2,select(a_426,i0)),i0,e_421) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| store(store(a_426,i2,e_427),i0,e_421) = store(store(a_426,i0,e_421),i2,select(a_426,i0)) ),
inference(resolve,[$cnf( $equal(select(a_426,i0),e_427) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
store(store(a_426,i2,e_427),i0,e_421) = store(store(a_426,i0,e_421),i2,select(a_426,i0)),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,select(a_426,i0)),i0,e_421),store(store(a_426,i0,e_421),i2,select(a_426,i0))) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
store(a_428,i0,e_429) = store(a_428,i0,e_429),
introduced(tautology,[refl,[$fot(store(a_428,i0,e_429))]]) ).
cnf(refute_0_55,plain,
( e_429 != e_421
| store(a_428,i0,e_429) != store(a_428,i0,e_429)
| store(a_428,i0,e_429) = store(a_428,i0,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_428,i0,e_429),store(a_428,i0,e_429)) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_56,plain,
( e_429 != e_421
| store(a_428,i0,e_429) = store(a_428,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(a_428,i0,e_429),store(a_428,i0,e_429)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
store(a_428,i0,e_429) = store(a_428,i0,e_421),
inference(resolve,[$cnf( $equal(e_429,e_421) )],[refute_0_28,refute_0_56]) ).
cnf(refute_0_58,plain,
( a_430 != store(a_428,i0,e_429)
| store(a_428,i0,e_429) != store(a_428,i0,e_421)
| a_430 = store(a_428,i0,e_421) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_430,store(a_428,i0,e_421)) ),[0],$fot(store(a_428,i0,e_429))]]) ).
cnf(refute_0_59,plain,
( a_430 != store(a_428,i0,e_429)
| a_430 = store(a_428,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(a_428,i0,e_429),store(a_428,i0,e_421)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
a_430 = store(a_428,i0,e_421),
inference(resolve,[$cnf( $equal(a_430,store(a_428,i0,e_429)) )],[hyp7,refute_0_59]) ).
cnf(refute_0_61,plain,
( a_430 != store(a_428,i0,e_421)
| store(a_428,i0,e_421) = a_430 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_430)),bind(Y,$fot(store(a_428,i0,e_421)))]]) ).
cnf(refute_0_62,plain,
store(a_428,i0,e_421) = a_430,
inference(resolve,[$cnf( $equal(a_430,store(a_428,i0,e_421)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( a_428 != store(a_426,i2,e_427)
| store(a_426,i2,e_427) = a_428 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_428)),bind(Y,$fot(store(a_426,i2,e_427)))]]) ).
cnf(refute_0_64,plain,
store(a_426,i2,e_427) = a_428,
inference(resolve,[$cnf( $equal(a_428,store(a_426,i2,e_427)) )],[hyp6,refute_0_63]) ).
cnf(refute_0_65,plain,
store(store(a_426,i2,e_427),i0,e_421) = store(store(a_426,i2,e_427),i0,e_421),
introduced(tautology,[refl,[$fot(store(store(a_426,i2,e_427),i0,e_421))]]) ).
cnf(refute_0_66,plain,
( store(a_426,i2,e_427) != a_428
| store(store(a_426,i2,e_427),i0,e_421) != store(store(a_426,i2,e_427),i0,e_421)
| store(store(a_426,i2,e_427),i0,e_421) = store(a_428,i0,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),store(store(a_426,i2,e_427),i0,e_421)) ),[1,0],$fot(a_428)]]) ).
cnf(refute_0_67,plain,
( store(a_426,i2,e_427) != a_428
| store(store(a_426,i2,e_427),i0,e_421) = store(a_428,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),store(store(a_426,i2,e_427),i0,e_421)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
store(store(a_426,i2,e_427),i0,e_421) = store(a_428,i0,e_421),
inference(resolve,[$cnf( $equal(store(a_426,i2,e_427),a_428) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_70,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_69]) ).
cnf(refute_0_71,plain,
( store(a_428,i0,e_421) != a_430
| store(store(a_426,i2,e_427),i0,e_421) != store(a_428,i0,e_421)
| store(store(a_426,i2,e_427),i0,e_421) = a_430 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_426,i2,e_427),i0,e_421))),bind(Y,$fot(store(a_428,i0,e_421))),bind(Z,$fot(a_430))]]) ).
cnf(refute_0_72,plain,
( store(a_428,i0,e_421) != a_430
| store(store(a_426,i2,e_427),i0,e_421) = a_430 ),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),store(a_428,i0,e_421)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
store(store(a_426,i2,e_427),i0,e_421) = a_430,
inference(resolve,[$cnf( $equal(store(a_428,i0,e_421),a_430) )],[refute_0_62,refute_0_72]) ).
cnf(refute_0_74,plain,
( store(store(a_426,i2,e_427),i0,e_421) != a_430
| store(store(a_426,i2,e_427),i0,e_421) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| a_430 = store(store(a_426,i0,e_421),i2,select(a_426,i0)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),store(store(a_426,i0,e_421),i2,select(a_426,i0))) ),[0],$fot(a_430)]]) ).
cnf(refute_0_75,plain,
( store(store(a_426,i2,e_427),i0,e_421) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| a_430 = store(store(a_426,i0,e_421),i2,select(a_426,i0)) ),
inference(resolve,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),a_430) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
store(store(a_418,i0,select(a_418,X_38)),X_38,select(a_418,i0)) = store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),
inference(subst,[],[a3:[bind(A,$fot(a_418)),bind(I,$fot(i0)),bind(J,$fot(X_38))]]) ).
cnf(refute_0_77,plain,
( e_421 != select(a_418,i0)
| select(a_418,i0) = e_421 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_421)),bind(Y,$fot(select(a_418,i0)))]]) ).
cnf(refute_0_78,plain,
select(a_418,i0) = e_421,
inference(resolve,[$cnf( $equal(e_421,select(a_418,i0)) )],[hyp16,refute_0_77]) ).
cnf(refute_0_79,plain,
( select(a_418,i0) != e_421
| store(store(a_418,i0,select(a_418,X_38)),X_38,select(a_418,i0)) != store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))
| store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i0,select(a_418,X_38)),X_38,select(a_418,i0)),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) ),[0,2],$fot(e_421)]]) ).
cnf(refute_0_80,plain,
( store(store(a_418,i0,select(a_418,X_38)),X_38,select(a_418,i0)) != store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))
| store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) ),
inference(resolve,[$cnf( $equal(select(a_418,i0),e_421) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,select(a_418,X_38)),X_38,select(a_418,i0)),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) )],[refute_0_76,refute_0_80]) ).
cnf(refute_0_82,plain,
store(a_418,X_38,select(a_418,i0)) = store(a_418,X_38,select(a_418,i0)),
introduced(tautology,[refl,[$fot(store(a_418,X_38,select(a_418,i0)))]]) ).
cnf(refute_0_83,plain,
( select(a_418,i0) != e_421
| store(a_418,X_38,select(a_418,i0)) != store(a_418,X_38,select(a_418,i0))
| store(a_418,X_38,select(a_418,i0)) = store(a_418,X_38,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_418,X_38,select(a_418,i0)),store(a_418,X_38,select(a_418,i0))) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_84,plain,
( select(a_418,i0) != e_421
| store(a_418,X_38,select(a_418,i0)) = store(a_418,X_38,e_421) ),
inference(resolve,[$cnf( $equal(store(a_418,X_38,select(a_418,i0)),store(a_418,X_38,select(a_418,i0))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
store(a_418,X_38,select(a_418,i0)) = store(a_418,X_38,e_421),
inference(resolve,[$cnf( $equal(select(a_418,i0),e_421) )],[refute_0_78,refute_0_84]) ).
cnf(refute_0_86,plain,
store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) = store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),
introduced(tautology,[refl,[$fot(store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)))]]) ).
cnf(refute_0_87,plain,
( store(a_418,X_38,select(a_418,i0)) != store(a_418,X_38,e_421)
| store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) != store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))
| store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) ),[1,0],$fot(store(a_418,X_38,e_421))]]) ).
cnf(refute_0_88,plain,
( store(a_418,X_38,select(a_418,i0)) != store(a_418,X_38,e_421)
| store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)) ),
inference(resolve,[$cnf( $equal(store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)),
inference(resolve,[$cnf( $equal(store(a_418,X_38,select(a_418,i0)),store(a_418,X_38,e_421)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)) != store(store(a_418,X_38,e_421),i0,select(a_418,X_38))
| store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) != store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))
| store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i0,select(a_418,X_38)),X_38,e_421),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) ),[1],$fot(store(store(a_418,X_38,e_421),i0,select(a_418,X_38)))]]) ).
cnf(refute_0_91,plain,
( store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) != store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))
| store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)) ),
inference(resolve,[$cnf( $equal(store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38)),store(store(a_418,X_38,e_421),i0,select(a_418,X_38))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
store(store(a_418,i0,select(a_418,X_38)),X_38,e_421) = store(store(a_418,X_38,e_421),i0,select(a_418,X_38)),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,select(a_418,X_38)),X_38,e_421),store(store(a_418,X_38,select(a_418,i0)),i0,select(a_418,X_38))) )],[refute_0_81,refute_0_91]) ).
cnf(refute_0_93,plain,
store(store(a_418,i0,select(a_418,i3)),i3,e_421) = store(store(a_418,i3,e_421),i0,select(a_418,i3)),
inference(subst,[],[refute_0_92:[bind(X_38,$fot(i3))]]) ).
cnf(refute_0_94,plain,
( e_419 != select(a_418,i3)
| select(a_418,i3) = e_419 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_419)),bind(Y,$fot(select(a_418,i3)))]]) ).
cnf(refute_0_95,plain,
select(a_418,i3) = e_419,
inference(resolve,[$cnf( $equal(e_419,select(a_418,i3)) )],[hyp15,refute_0_94]) ).
cnf(refute_0_96,plain,
( select(a_418,i3) != e_419
| store(store(a_418,i0,select(a_418,i3)),i3,e_421) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| store(store(a_418,i0,e_419),i3,e_421) = store(store(a_418,i3,e_421),i0,select(a_418,i3)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i0,select(a_418,i3)),i3,e_421),store(store(a_418,i3,e_421),i0,select(a_418,i3))) ),[0,0,2],$fot(e_419)]]) ).
cnf(refute_0_97,plain,
( store(store(a_418,i0,select(a_418,i3)),i3,e_421) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| store(store(a_418,i0,e_419),i3,e_421) = store(store(a_418,i3,e_421),i0,select(a_418,i3)) ),
inference(resolve,[$cnf( $equal(select(a_418,i3),e_419) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
store(store(a_418,i0,e_419),i3,e_421) = store(store(a_418,i3,e_421),i0,select(a_418,i3)),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,select(a_418,i3)),i3,e_421),store(store(a_418,i3,e_421),i0,select(a_418,i3))) )],[refute_0_93,refute_0_97]) ).
cnf(refute_0_99,plain,
( a_420 != store(a_418,i0,e_419)
| store(a_418,i0,e_419) = a_420 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_420)),bind(Y,$fot(store(a_418,i0,e_419)))]]) ).
cnf(refute_0_100,plain,
store(a_418,i0,e_419) = a_420,
inference(resolve,[$cnf( $equal(a_420,store(a_418,i0,e_419)) )],[hyp2,refute_0_99]) ).
cnf(refute_0_101,plain,
store(store(a_418,i0,e_419),i3,e_421) = store(store(a_418,i0,e_419),i3,e_421),
introduced(tautology,[refl,[$fot(store(store(a_418,i0,e_419),i3,e_421))]]) ).
cnf(refute_0_102,plain,
( store(a_418,i0,e_419) != a_420
| store(store(a_418,i0,e_419),i3,e_421) != store(store(a_418,i0,e_419),i3,e_421)
| store(store(a_418,i0,e_419),i3,e_421) = store(a_420,i3,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),store(store(a_418,i0,e_419),i3,e_421)) ),[1,0],$fot(a_420)]]) ).
cnf(refute_0_103,plain,
( store(a_418,i0,e_419) != a_420
| store(store(a_418,i0,e_419),i3,e_421) = store(a_420,i3,e_421) ),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),store(store(a_418,i0,e_419),i3,e_421)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
store(store(a_418,i0,e_419),i3,e_421) = store(a_420,i3,e_421),
inference(resolve,[$cnf( $equal(store(a_418,i0,e_419),a_420) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( store(a_420,i3,e_421) != a_422
| store(store(a_418,i0,e_419),i3,e_421) != store(a_420,i3,e_421)
| store(store(a_418,i0,e_419),i3,e_421) = a_422 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_418,i0,e_419),i3,e_421))),bind(Y,$fot(store(a_420,i3,e_421))),bind(Z,$fot(a_422))]]) ).
cnf(refute_0_106,plain,
( store(a_420,i3,e_421) != a_422
| store(store(a_418,i0,e_419),i3,e_421) = a_422 ),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),store(a_420,i3,e_421)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
store(store(a_418,i0,e_419),i3,e_421) = a_422,
inference(resolve,[$cnf( $equal(store(a_420,i3,e_421),a_422) )],[refute_0_16,refute_0_106]) ).
cnf(refute_0_108,plain,
( store(store(a_418,i0,e_419),i3,e_421) != a_422
| store(store(a_418,i0,e_419),i3,e_421) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| a_422 = store(store(a_418,i3,e_421),i0,select(a_418,i3)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),store(store(a_418,i3,e_421),i0,select(a_418,i3))) ),[0],$fot(a_422)]]) ).
cnf(refute_0_109,plain,
( store(store(a_418,i0,e_419),i3,e_421) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| a_422 = store(store(a_418,i3,e_421),i0,select(a_418,i3)) ),
inference(resolve,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),a_422) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( a_432 != store(a_431,i0,e_419)
| store(a_431,i0,e_419) = a_432 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_432)),bind(Y,$fot(store(a_431,i0,e_419)))]]) ).
cnf(refute_0_111,plain,
store(a_431,i0,e_419) = a_432,
inference(resolve,[$cnf( $equal(a_432,store(a_431,i0,e_419)) )],[hyp9,refute_0_110]) ).
cnf(refute_0_112,plain,
store(a_431,i0,select(a_418,i3)) = store(a_431,i0,select(a_418,i3)),
introduced(tautology,[refl,[$fot(store(a_431,i0,select(a_418,i3)))]]) ).
cnf(refute_0_113,plain,
( select(a_418,i3) != e_419
| store(a_431,i0,select(a_418,i3)) != store(a_431,i0,select(a_418,i3))
| store(a_431,i0,select(a_418,i3)) = store(a_431,i0,e_419) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_431,i0,select(a_418,i3)),store(a_431,i0,select(a_418,i3))) ),[1,2],$fot(e_419)]]) ).
cnf(refute_0_114,plain,
( select(a_418,i3) != e_419
| store(a_431,i0,select(a_418,i3)) = store(a_431,i0,e_419) ),
inference(resolve,[$cnf( $equal(store(a_431,i0,select(a_418,i3)),store(a_431,i0,select(a_418,i3))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
store(a_431,i0,select(a_418,i3)) = store(a_431,i0,e_419),
inference(resolve,[$cnf( $equal(select(a_418,i3),e_419) )],[refute_0_95,refute_0_114]) ).
cnf(refute_0_116,plain,
( a_431 != store(a_418,i3,e_421)
| store(a_418,i3,e_421) = a_431 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_431)),bind(Y,$fot(store(a_418,i3,e_421)))]]) ).
cnf(refute_0_117,plain,
store(a_418,i3,e_421) = a_431,
inference(resolve,[$cnf( $equal(a_431,store(a_418,i3,e_421)) )],[hyp8,refute_0_116]) ).
cnf(refute_0_118,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(store(a_418,i3,e_421),i0,select(a_418,i3)),
introduced(tautology,[refl,[$fot(store(store(a_418,i3,e_421),i0,select(a_418,i3)))]]) ).
cnf(refute_0_119,plain,
( store(a_418,i3,e_421) != a_431
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,select(a_418,i3)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_418,i3,e_421),i0,select(a_418,i3)),store(store(a_418,i3,e_421),i0,select(a_418,i3))) ),[1,0],$fot(a_431)]]) ).
cnf(refute_0_120,plain,
( store(a_418,i3,e_421) != a_431
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,select(a_418,i3)) ),
inference(resolve,[$cnf( $equal(store(store(a_418,i3,e_421),i0,select(a_418,i3)),store(store(a_418,i3,e_421),i0,select(a_418,i3))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,select(a_418,i3)),
inference(resolve,[$cnf( $equal(store(a_418,i3,e_421),a_431) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( store(a_431,i0,select(a_418,i3)) != store(a_431,i0,e_419)
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) != store(a_431,i0,select(a_418,i3))
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,e_419) ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_418,i3,e_421),i0,select(a_418,i3)))),bind(Y,$fot(store(a_431,i0,select(a_418,i3)))),bind(Z,$fot(store(a_431,i0,e_419)))]]) ).
cnf(refute_0_123,plain,
( store(a_431,i0,select(a_418,i3)) != store(a_431,i0,e_419)
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,e_419) ),
inference(resolve,[$cnf( $equal(store(store(a_418,i3,e_421),i0,select(a_418,i3)),store(a_431,i0,select(a_418,i3))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(a_431,i0,e_419),
inference(resolve,[$cnf( $equal(store(a_431,i0,select(a_418,i3)),store(a_431,i0,e_419)) )],[refute_0_115,refute_0_123]) ).
cnf(refute_0_125,plain,
( store(a_431,i0,e_419) != a_432
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) != store(a_431,i0,e_419)
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = a_432 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_418,i3,e_421),i0,select(a_418,i3)))),bind(Y,$fot(store(a_431,i0,e_419))),bind(Z,$fot(a_432))]]) ).
cnf(refute_0_126,plain,
( store(a_431,i0,e_419) != a_432
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) = a_432 ),
inference(resolve,[$cnf( $equal(store(store(a_418,i3,e_421),i0,select(a_418,i3)),store(a_431,i0,e_419)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = a_432,
inference(resolve,[$cnf( $equal(store(a_431,i0,e_419),a_432) )],[refute_0_111,refute_0_126]) ).
cnf(refute_0_128,plain,
( a_422 != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| store(store(a_418,i3,e_421),i0,select(a_418,i3)) != a_432
| a_422 = a_432 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_422,a_432) ),[0],$fot(store(store(a_418,i3,e_421),i0,select(a_418,i3)))]]) ).
cnf(refute_0_129,plain,
( a_422 != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| a_422 = a_432 ),
inference(resolve,[$cnf( $equal(store(store(a_418,i3,e_421),i0,select(a_418,i3)),a_432) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( store(store(a_418,i0,e_419),i3,e_421) != store(store(a_418,i3,e_421),i0,select(a_418,i3))
| a_422 = a_432 ),
inference(resolve,[$cnf( $equal(a_422,store(store(a_418,i3,e_421),i0,select(a_418,i3))) )],[refute_0_109,refute_0_129]) ).
cnf(refute_0_131,plain,
a_422 = a_432,
inference(resolve,[$cnf( $equal(store(store(a_418,i0,e_419),i3,e_421),store(store(a_418,i3,e_421),i0,select(a_418,i3))) )],[refute_0_98,refute_0_130]) ).
cnf(refute_0_132,plain,
( a_422 != a_432
| a_432 = a_422 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_422)),bind(Y,$fot(a_432))]]) ).
cnf(refute_0_133,plain,
a_432 = a_422,
inference(resolve,[$cnf( $equal(a_422,a_432) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
store(a_432,i3,e_433) = store(a_432,i3,e_433),
introduced(tautology,[refl,[$fot(store(a_432,i3,e_433))]]) ).
cnf(refute_0_135,plain,
( a_432 != a_422
| store(a_432,i3,e_433) != store(a_432,i3,e_433)
| store(a_432,i3,e_433) = store(a_422,i3,e_433) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_432,i3,e_433),store(a_432,i3,e_433)) ),[1,0],$fot(a_422)]]) ).
cnf(refute_0_136,plain,
( a_432 != a_422
| store(a_432,i3,e_433) = store(a_422,i3,e_433) ),
inference(resolve,[$cnf( $equal(store(a_432,i3,e_433),store(a_432,i3,e_433)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
store(a_432,i3,e_433) = store(a_422,i3,e_433),
inference(resolve,[$cnf( $equal(a_432,a_422) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
( a_434 != store(a_432,i3,e_433)
| store(a_432,i3,e_433) != store(a_422,i3,e_433)
| a_434 = store(a_422,i3,e_433) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_434,store(a_422,i3,e_433)) ),[0],$fot(store(a_432,i3,e_433))]]) ).
cnf(refute_0_139,plain,
( a_434 != store(a_432,i3,e_433)
| a_434 = store(a_422,i3,e_433) ),
inference(resolve,[$cnf( $equal(store(a_432,i3,e_433),store(a_422,i3,e_433)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
a_434 = store(a_422,i3,e_433),
inference(resolve,[$cnf( $equal(a_434,store(a_432,i3,e_433)) )],[hyp10,refute_0_139]) ).
cnf(refute_0_141,plain,
( a_424 != store(a_422,i3,e_423)
| store(a_422,i3,e_423) = a_424 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_424)),bind(Y,$fot(store(a_422,i3,e_423)))]]) ).
cnf(refute_0_142,plain,
store(a_422,i3,e_423) = a_424,
inference(resolve,[$cnf( $equal(a_424,store(a_422,i3,e_423)) )],[hyp4,refute_0_141]) ).
cnf(refute_0_143,plain,
( e_423 != select(a_422,i2)
| select(a_422,i2) = e_423 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_423)),bind(Y,$fot(select(a_422,i2)))]]) ).
cnf(refute_0_144,plain,
select(a_422,i2) = e_423,
inference(resolve,[$cnf( $equal(e_423,select(a_422,i2)) )],[hyp17,refute_0_143]) ).
cnf(refute_0_145,plain,
select(a_432,i2) = select(a_432,i2),
introduced(tautology,[refl,[$fot(select(a_432,i2))]]) ).
cnf(refute_0_146,plain,
( a_432 != a_422
| select(a_432,i2) != select(a_432,i2)
| select(a_432,i2) = select(a_422,i2) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_432,i2),select(a_432,i2)) ),[1,0],$fot(a_422)]]) ).
cnf(refute_0_147,plain,
( a_432 != a_422
| select(a_432,i2) = select(a_422,i2) ),
inference(resolve,[$cnf( $equal(select(a_432,i2),select(a_432,i2)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
select(a_432,i2) = select(a_422,i2),
inference(resolve,[$cnf( $equal(a_432,a_422) )],[refute_0_133,refute_0_147]) ).
cnf(refute_0_149,plain,
( select(a_422,i2) != e_423
| select(a_432,i2) != select(a_422,i2)
| select(a_432,i2) = e_423 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(select(a_432,i2))),bind(Y,$fot(select(a_422,i2))),bind(Z,$fot(e_423))]]) ).
cnf(refute_0_150,plain,
( select(a_422,i2) != e_423
| select(a_432,i2) = e_423 ),
inference(resolve,[$cnf( $equal(select(a_432,i2),select(a_422,i2)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
select(a_432,i2) = e_423,
inference(resolve,[$cnf( $equal(select(a_422,i2),e_423) )],[refute_0_144,refute_0_150]) ).
cnf(refute_0_152,plain,
( e_433 != select(a_432,i2)
| select(a_432,i2) != e_423
| e_433 = e_423 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e_433,e_423) ),[0],$fot(select(a_432,i2))]]) ).
cnf(refute_0_153,plain,
( e_433 != select(a_432,i2)
| e_433 = e_423 ),
inference(resolve,[$cnf( $equal(select(a_432,i2),e_423) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
e_433 = e_423,
inference(resolve,[$cnf( $equal(e_433,select(a_432,i2)) )],[hyp21,refute_0_153]) ).
cnf(refute_0_155,plain,
store(a_422,i3,e_433) = store(a_422,i3,e_433),
introduced(tautology,[refl,[$fot(store(a_422,i3,e_433))]]) ).
cnf(refute_0_156,plain,
( e_433 != e_423
| store(a_422,i3,e_433) != store(a_422,i3,e_433)
| store(a_422,i3,e_433) = store(a_422,i3,e_423) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_422,i3,e_433),store(a_422,i3,e_433)) ),[1,2],$fot(e_423)]]) ).
cnf(refute_0_157,plain,
( e_433 != e_423
| store(a_422,i3,e_433) = store(a_422,i3,e_423) ),
inference(resolve,[$cnf( $equal(store(a_422,i3,e_433),store(a_422,i3,e_433)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
store(a_422,i3,e_433) = store(a_422,i3,e_423),
inference(resolve,[$cnf( $equal(e_433,e_423) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
( store(a_422,i3,e_423) != a_424
| store(a_422,i3,e_433) != store(a_422,i3,e_423)
| store(a_422,i3,e_433) = a_424 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(a_422,i3,e_433))),bind(Y,$fot(store(a_422,i3,e_423))),bind(Z,$fot(a_424))]]) ).
cnf(refute_0_160,plain,
( store(a_422,i3,e_423) != a_424
| store(a_422,i3,e_433) = a_424 ),
inference(resolve,[$cnf( $equal(store(a_422,i3,e_433),store(a_422,i3,e_423)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
store(a_422,i3,e_433) = a_424,
inference(resolve,[$cnf( $equal(store(a_422,i3,e_423),a_424) )],[refute_0_142,refute_0_160]) ).
cnf(refute_0_162,plain,
( a_434 != store(a_422,i3,e_433)
| store(a_422,i3,e_433) != a_424
| a_434 = a_424 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_434,a_424) ),[0],$fot(store(a_422,i3,e_433))]]) ).
cnf(refute_0_163,plain,
( a_434 != store(a_422,i3,e_433)
| a_434 = a_424 ),
inference(resolve,[$cnf( $equal(store(a_422,i3,e_433),a_424) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
a_434 = a_424,
inference(resolve,[$cnf( $equal(a_434,store(a_422,i3,e_433)) )],[refute_0_140,refute_0_163]) ).
cnf(refute_0_165,plain,
store(a_434,i2,e_435) = store(a_434,i2,e_435),
introduced(tautology,[refl,[$fot(store(a_434,i2,e_435))]]) ).
cnf(refute_0_166,plain,
( a_434 != a_424
| store(a_434,i2,e_435) != store(a_434,i2,e_435)
| store(a_434,i2,e_435) = store(a_424,i2,e_435) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_434,i2,e_435),store(a_434,i2,e_435)) ),[1,0],$fot(a_424)]]) ).
cnf(refute_0_167,plain,
( a_434 != a_424
| store(a_434,i2,e_435) = store(a_424,i2,e_435) ),
inference(resolve,[$cnf( $equal(store(a_434,i2,e_435),store(a_434,i2,e_435)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
store(a_434,i2,e_435) = store(a_424,i2,e_435),
inference(resolve,[$cnf( $equal(a_434,a_424) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( a_436 != store(a_434,i2,e_435)
| store(a_434,i2,e_435) != store(a_424,i2,e_435)
| a_436 = store(a_424,i2,e_435) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_436,store(a_424,i2,e_435)) ),[0],$fot(store(a_434,i2,e_435))]]) ).
cnf(refute_0_170,plain,
( a_436 != store(a_434,i2,e_435)
| a_436 = store(a_424,i2,e_435) ),
inference(resolve,[$cnf( $equal(store(a_434,i2,e_435),store(a_424,i2,e_435)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
a_436 = store(a_424,i2,e_435),
inference(resolve,[$cnf( $equal(a_436,store(a_434,i2,e_435)) )],[hyp11,refute_0_170]) ).
cnf(refute_0_172,plain,
store(a_424,i2,e_425) = store(a_424,i2,e_425),
introduced(tautology,[refl,[$fot(store(a_424,i2,e_425))]]) ).
cnf(refute_0_173,plain,
( e_425 != e_421
| store(a_424,i2,e_425) != store(a_424,i2,e_425)
| store(a_424,i2,e_425) = store(a_424,i2,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_424,i2,e_425),store(a_424,i2,e_425)) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_174,plain,
( e_425 != e_421
| store(a_424,i2,e_425) = store(a_424,i2,e_421) ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_425),store(a_424,i2,e_425)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
store(a_424,i2,e_425) = store(a_424,i2,e_421),
inference(resolve,[$cnf( $equal(e_425,e_421) )],[refute_0_24,refute_0_174]) ).
cnf(refute_0_176,plain,
( a_426 != store(a_424,i2,e_425)
| store(a_424,i2,e_425) != store(a_424,i2,e_421)
| a_426 = store(a_424,i2,e_421) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_426,store(a_424,i2,e_421)) ),[0],$fot(store(a_424,i2,e_425))]]) ).
cnf(refute_0_177,plain,
( a_426 != store(a_424,i2,e_425)
| a_426 = store(a_424,i2,e_421) ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_425),store(a_424,i2,e_421)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
a_426 = store(a_424,i2,e_421),
inference(resolve,[$cnf( $equal(a_426,store(a_424,i2,e_425)) )],[hyp5,refute_0_177]) ).
cnf(refute_0_179,plain,
( a_426 != store(a_424,i2,e_421)
| store(a_424,i2,e_421) = a_426 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_426)),bind(Y,$fot(store(a_424,i2,e_421)))]]) ).
cnf(refute_0_180,plain,
store(a_424,i2,e_421) = a_426,
inference(resolve,[$cnf( $equal(a_426,store(a_424,i2,e_421)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
select(a_432,i3) = select(a_432,i3),
introduced(tautology,[refl,[$fot(select(a_432,i3))]]) ).
cnf(refute_0_182,plain,
( a_432 != a_422
| select(a_432,i3) != select(a_432,i3)
| select(a_432,i3) = select(a_422,i3) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_432,i3),select(a_432,i3)) ),[1,0],$fot(a_422)]]) ).
cnf(refute_0_183,plain,
( a_432 != a_422
| select(a_432,i3) = select(a_422,i3) ),
inference(resolve,[$cnf( $equal(select(a_432,i3),select(a_432,i3)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
select(a_432,i3) = select(a_422,i3),
inference(resolve,[$cnf( $equal(a_432,a_422) )],[refute_0_133,refute_0_183]) ).
cnf(refute_0_185,plain,
( select(a_422,i3) != e_421
| select(a_432,i3) != select(a_422,i3)
| select(a_432,i3) = e_421 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(select(a_432,i3))),bind(Y,$fot(select(a_422,i3))),bind(Z,$fot(e_421))]]) ).
cnf(refute_0_186,plain,
( select(a_422,i3) != e_421
| select(a_432,i3) = e_421 ),
inference(resolve,[$cnf( $equal(select(a_432,i3),select(a_422,i3)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
select(a_432,i3) = e_421,
inference(resolve,[$cnf( $equal(select(a_422,i3),e_421) )],[refute_0_19,refute_0_186]) ).
cnf(refute_0_188,plain,
( e_435 != select(a_432,i3)
| select(a_432,i3) != e_421
| e_435 = e_421 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e_435,e_421) ),[0],$fot(select(a_432,i3))]]) ).
cnf(refute_0_189,plain,
( e_435 != select(a_432,i3)
| e_435 = e_421 ),
inference(resolve,[$cnf( $equal(select(a_432,i3),e_421) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
e_435 = e_421,
inference(resolve,[$cnf( $equal(e_435,select(a_432,i3)) )],[hyp22,refute_0_189]) ).
cnf(refute_0_191,plain,
store(a_424,i2,e_435) = store(a_424,i2,e_435),
introduced(tautology,[refl,[$fot(store(a_424,i2,e_435))]]) ).
cnf(refute_0_192,plain,
( e_435 != e_421
| store(a_424,i2,e_435) != store(a_424,i2,e_435)
| store(a_424,i2,e_435) = store(a_424,i2,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_424,i2,e_435),store(a_424,i2,e_435)) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_193,plain,
( e_435 != e_421
| store(a_424,i2,e_435) = store(a_424,i2,e_421) ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_435),store(a_424,i2,e_435)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
store(a_424,i2,e_435) = store(a_424,i2,e_421),
inference(resolve,[$cnf( $equal(e_435,e_421) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( store(a_424,i2,e_421) != a_426
| store(a_424,i2,e_435) != store(a_424,i2,e_421)
| store(a_424,i2,e_435) = a_426 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(a_424,i2,e_435))),bind(Y,$fot(store(a_424,i2,e_421))),bind(Z,$fot(a_426))]]) ).
cnf(refute_0_196,plain,
( store(a_424,i2,e_421) != a_426
| store(a_424,i2,e_435) = a_426 ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_435),store(a_424,i2,e_421)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
store(a_424,i2,e_435) = a_426,
inference(resolve,[$cnf( $equal(store(a_424,i2,e_421),a_426) )],[refute_0_180,refute_0_196]) ).
cnf(refute_0_198,plain,
( a_436 != store(a_424,i2,e_435)
| store(a_424,i2,e_435) != a_426
| a_436 = a_426 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_436,a_426) ),[0],$fot(store(a_424,i2,e_435))]]) ).
cnf(refute_0_199,plain,
( a_436 != store(a_424,i2,e_435)
| a_436 = a_426 ),
inference(resolve,[$cnf( $equal(store(a_424,i2,e_435),a_426) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
a_436 = a_426,
inference(resolve,[$cnf( $equal(a_436,store(a_424,i2,e_435)) )],[refute_0_171,refute_0_199]) ).
cnf(refute_0_201,plain,
select(a_436,i0) = select(a_436,i0),
introduced(tautology,[refl,[$fot(select(a_436,i0))]]) ).
cnf(refute_0_202,plain,
( a_436 != a_426
| select(a_436,i0) != select(a_436,i0)
| select(a_436,i0) = select(a_426,i0) ),
introduced(tautology,[equality,[$cnf( $equal(select(a_436,i0),select(a_436,i0)) ),[1,0],$fot(a_426)]]) ).
cnf(refute_0_203,plain,
( a_436 != a_426
| select(a_436,i0) = select(a_426,i0) ),
inference(resolve,[$cnf( $equal(select(a_436,i0),select(a_436,i0)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
select(a_436,i0) = select(a_426,i0),
inference(resolve,[$cnf( $equal(a_436,a_426) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( select(a_426,i0) != e_427
| select(a_436,i0) != select(a_426,i0)
| select(a_436,i0) = e_427 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(select(a_436,i0))),bind(Y,$fot(select(a_426,i0))),bind(Z,$fot(e_427))]]) ).
cnf(refute_0_206,plain,
( select(a_426,i0) != e_427
| select(a_436,i0) = e_427 ),
inference(resolve,[$cnf( $equal(select(a_436,i0),select(a_426,i0)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
select(a_436,i0) = e_427,
inference(resolve,[$cnf( $equal(select(a_426,i0),e_427) )],[refute_0_50,refute_0_206]) ).
cnf(refute_0_208,plain,
( e_439 != select(a_436,i0)
| select(a_436,i0) != e_427
| e_439 = e_427 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e_439,e_427) ),[0],$fot(select(a_436,i0))]]) ).
cnf(refute_0_209,plain,
( e_439 != select(a_436,i0)
| e_439 = e_427 ),
inference(resolve,[$cnf( $equal(select(a_436,i0),e_427) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
e_439 = e_427,
inference(resolve,[$cnf( $equal(e_439,select(a_436,i0)) )],[hyp24,refute_0_209]) ).
cnf(refute_0_211,plain,
store(a_438,i2,e_439) = store(a_438,i2,e_439),
introduced(tautology,[refl,[$fot(store(a_438,i2,e_439))]]) ).
cnf(refute_0_212,plain,
( e_439 != e_427
| store(a_438,i2,e_439) != store(a_438,i2,e_439)
| store(a_438,i2,e_439) = store(a_438,i2,e_427) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_438,i2,e_439),store(a_438,i2,e_439)) ),[1,2],$fot(e_427)]]) ).
cnf(refute_0_213,plain,
( e_439 != e_427
| store(a_438,i2,e_439) = store(a_438,i2,e_427) ),
inference(resolve,[$cnf( $equal(store(a_438,i2,e_439),store(a_438,i2,e_439)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
store(a_438,i2,e_439) = store(a_438,i2,e_427),
inference(resolve,[$cnf( $equal(e_439,e_427) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
( a_440 != store(a_438,i2,e_439)
| store(a_438,i2,e_439) != store(a_438,i2,e_427)
| a_440 = store(a_438,i2,e_427) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_440,store(a_438,i2,e_427)) ),[0],$fot(store(a_438,i2,e_439))]]) ).
cnf(refute_0_216,plain,
( a_440 != store(a_438,i2,e_439)
| a_440 = store(a_438,i2,e_427) ),
inference(resolve,[$cnf( $equal(store(a_438,i2,e_439),store(a_438,i2,e_427)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
a_440 = store(a_438,i2,e_427),
inference(resolve,[$cnf( $equal(a_440,store(a_438,i2,e_439)) )],[hyp13,refute_0_216]) ).
cnf(refute_0_218,plain,
( a_440 != store(a_438,i2,e_427)
| store(a_438,i2,e_427) = a_440 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_440)),bind(Y,$fot(store(a_438,i2,e_427)))]]) ).
cnf(refute_0_219,plain,
store(a_438,i2,e_427) = a_440,
inference(resolve,[$cnf( $equal(a_440,store(a_438,i2,e_427)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
store(a_438,i2,select(a_426,i0)) = store(a_438,i2,select(a_426,i0)),
introduced(tautology,[refl,[$fot(store(a_438,i2,select(a_426,i0)))]]) ).
cnf(refute_0_221,plain,
( select(a_426,i0) != e_427
| store(a_438,i2,select(a_426,i0)) != store(a_438,i2,select(a_426,i0))
| store(a_438,i2,select(a_426,i0)) = store(a_438,i2,e_427) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_438,i2,select(a_426,i0)),store(a_438,i2,select(a_426,i0))) ),[1,2],$fot(e_427)]]) ).
cnf(refute_0_222,plain,
( select(a_426,i0) != e_427
| store(a_438,i2,select(a_426,i0)) = store(a_438,i2,e_427) ),
inference(resolve,[$cnf( $equal(store(a_438,i2,select(a_426,i0)),store(a_438,i2,select(a_426,i0))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
store(a_438,i2,select(a_426,i0)) = store(a_438,i2,e_427),
inference(resolve,[$cnf( $equal(select(a_426,i0),e_427) )],[refute_0_50,refute_0_222]) ).
cnf(refute_0_224,plain,
select(store(a_434,i2,e_435),i2) = e_435,
inference(subst,[],[a1:[bind(A,$fot(a_434)),bind(E,$fot(e_435)),bind(I,$fot(i2))]]) ).
cnf(refute_0_225,plain,
( a_436 != store(a_434,i2,e_435)
| store(a_434,i2,e_435) = a_436 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_436)),bind(Y,$fot(store(a_434,i2,e_435)))]]) ).
cnf(refute_0_226,plain,
store(a_434,i2,e_435) = a_436,
inference(resolve,[$cnf( $equal(a_436,store(a_434,i2,e_435)) )],[hyp11,refute_0_225]) ).
cnf(refute_0_227,plain,
( select(store(a_434,i2,e_435),i2) != e_435
| store(a_434,i2,e_435) != a_436
| select(a_436,i2) = e_435 ),
introduced(tautology,[equality,[$cnf( $equal(select(store(a_434,i2,e_435),i2),e_435) ),[0,0],$fot(a_436)]]) ).
cnf(refute_0_228,plain,
( select(store(a_434,i2,e_435),i2) != e_435
| select(a_436,i2) = e_435 ),
inference(resolve,[$cnf( $equal(store(a_434,i2,e_435),a_436) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
select(a_436,i2) = e_435,
inference(resolve,[$cnf( $equal(select(store(a_434,i2,e_435),i2),e_435) )],[refute_0_224,refute_0_228]) ).
cnf(refute_0_230,plain,
( e_437 != select(a_436,i2)
| select(a_436,i2) = e_437 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e_437)),bind(Y,$fot(select(a_436,i2)))]]) ).
cnf(refute_0_231,plain,
select(a_436,i2) = e_437,
inference(resolve,[$cnf( $equal(e_437,select(a_436,i2)) )],[hyp23,refute_0_230]) ).
cnf(refute_0_232,plain,
( select(a_436,i2) != e_435
| select(a_436,i2) != e_437
| e_437 = e_435 ),
introduced(tautology,[equality,[$cnf( $equal(select(a_436,i2),e_435) ),[0],$fot(e_437)]]) ).
cnf(refute_0_233,plain,
( select(a_436,i2) != e_435
| e_437 = e_435 ),
inference(resolve,[$cnf( $equal(select(a_436,i2),e_437) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
e_437 = e_435,
inference(resolve,[$cnf( $equal(select(a_436,i2),e_435) )],[refute_0_229,refute_0_233]) ).
cnf(refute_0_235,plain,
store(a_436,i0,e_437) = store(a_436,i0,e_437),
introduced(tautology,[refl,[$fot(store(a_436,i0,e_437))]]) ).
cnf(refute_0_236,plain,
( e_437 != e_435
| store(a_436,i0,e_437) != store(a_436,i0,e_437)
| store(a_436,i0,e_437) = store(a_436,i0,e_435) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_436,i0,e_437),store(a_436,i0,e_437)) ),[1,2],$fot(e_435)]]) ).
cnf(refute_0_237,plain,
( e_437 != e_435
| store(a_436,i0,e_437) = store(a_436,i0,e_435) ),
inference(resolve,[$cnf( $equal(store(a_436,i0,e_437),store(a_436,i0,e_437)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
store(a_436,i0,e_437) = store(a_436,i0,e_435),
inference(resolve,[$cnf( $equal(e_437,e_435) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( a_438 != store(a_436,i0,e_437)
| store(a_436,i0,e_437) != store(a_436,i0,e_435)
| a_438 = store(a_436,i0,e_435) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_438,store(a_436,i0,e_435)) ),[0],$fot(store(a_436,i0,e_437))]]) ).
cnf(refute_0_240,plain,
( a_438 != store(a_436,i0,e_437)
| a_438 = store(a_436,i0,e_435) ),
inference(resolve,[$cnf( $equal(store(a_436,i0,e_437),store(a_436,i0,e_435)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
a_438 = store(a_436,i0,e_435),
inference(resolve,[$cnf( $equal(a_438,store(a_436,i0,e_437)) )],[hyp12,refute_0_240]) ).
cnf(refute_0_242,plain,
store(a_426,i0,e_435) = store(a_426,i0,e_435),
introduced(tautology,[refl,[$fot(store(a_426,i0,e_435))]]) ).
cnf(refute_0_243,plain,
( e_435 != e_421
| store(a_426,i0,e_435) != store(a_426,i0,e_435)
| store(a_426,i0,e_435) = store(a_426,i0,e_421) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_426,i0,e_435),store(a_426,i0,e_435)) ),[1,2],$fot(e_421)]]) ).
cnf(refute_0_244,plain,
( e_435 != e_421
| store(a_426,i0,e_435) = store(a_426,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(a_426,i0,e_435),store(a_426,i0,e_435)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
store(a_426,i0,e_435) = store(a_426,i0,e_421),
inference(resolve,[$cnf( $equal(e_435,e_421) )],[refute_0_190,refute_0_244]) ).
cnf(refute_0_246,plain,
store(a_436,i0,e_435) = store(a_436,i0,e_435),
introduced(tautology,[refl,[$fot(store(a_436,i0,e_435))]]) ).
cnf(refute_0_247,plain,
( a_436 != a_426
| store(a_436,i0,e_435) != store(a_436,i0,e_435)
| store(a_436,i0,e_435) = store(a_426,i0,e_435) ),
introduced(tautology,[equality,[$cnf( $equal(store(a_436,i0,e_435),store(a_436,i0,e_435)) ),[1,0],$fot(a_426)]]) ).
cnf(refute_0_248,plain,
( a_436 != a_426
| store(a_436,i0,e_435) = store(a_426,i0,e_435) ),
inference(resolve,[$cnf( $equal(store(a_436,i0,e_435),store(a_436,i0,e_435)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
store(a_436,i0,e_435) = store(a_426,i0,e_435),
inference(resolve,[$cnf( $equal(a_436,a_426) )],[refute_0_200,refute_0_248]) ).
cnf(refute_0_250,plain,
( store(a_426,i0,e_435) != store(a_426,i0,e_421)
| store(a_436,i0,e_435) != store(a_426,i0,e_435)
| store(a_436,i0,e_435) = store(a_426,i0,e_421) ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(a_436,i0,e_435))),bind(Y,$fot(store(a_426,i0,e_435))),bind(Z,$fot(store(a_426,i0,e_421)))]]) ).
cnf(refute_0_251,plain,
( store(a_426,i0,e_435) != store(a_426,i0,e_421)
| store(a_436,i0,e_435) = store(a_426,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(a_436,i0,e_435),store(a_426,i0,e_435)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
store(a_436,i0,e_435) = store(a_426,i0,e_421),
inference(resolve,[$cnf( $equal(store(a_426,i0,e_435),store(a_426,i0,e_421)) )],[refute_0_245,refute_0_251]) ).
cnf(refute_0_253,plain,
( a_438 != store(a_436,i0,e_435)
| store(a_436,i0,e_435) != store(a_426,i0,e_421)
| a_438 = store(a_426,i0,e_421) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_438,store(a_426,i0,e_421)) ),[0],$fot(store(a_436,i0,e_435))]]) ).
cnf(refute_0_254,plain,
( a_438 != store(a_436,i0,e_435)
| a_438 = store(a_426,i0,e_421) ),
inference(resolve,[$cnf( $equal(store(a_436,i0,e_435),store(a_426,i0,e_421)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
a_438 = store(a_426,i0,e_421),
inference(resolve,[$cnf( $equal(a_438,store(a_436,i0,e_435)) )],[refute_0_241,refute_0_254]) ).
cnf(refute_0_256,plain,
( a_438 != store(a_426,i0,e_421)
| store(a_426,i0,e_421) = a_438 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(a_438)),bind(Y,$fot(store(a_426,i0,e_421)))]]) ).
cnf(refute_0_257,plain,
store(a_426,i0,e_421) = a_438,
inference(resolve,[$cnf( $equal(a_438,store(a_426,i0,e_421)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(store(a_426,i0,e_421),i2,select(a_426,i0)),
introduced(tautology,[refl,[$fot(store(store(a_426,i0,e_421),i2,select(a_426,i0)))]]) ).
cnf(refute_0_259,plain,
( store(a_426,i0,e_421) != a_438
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,select(a_426,i0)) ),
introduced(tautology,[equality,[$cnf( $equal(store(store(a_426,i0,e_421),i2,select(a_426,i0)),store(store(a_426,i0,e_421),i2,select(a_426,i0))) ),[1,0],$fot(a_438)]]) ).
cnf(refute_0_260,plain,
( store(a_426,i0,e_421) != a_438
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,select(a_426,i0)) ),
inference(resolve,[$cnf( $equal(store(store(a_426,i0,e_421),i2,select(a_426,i0)),store(store(a_426,i0,e_421),i2,select(a_426,i0))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,select(a_426,i0)),
inference(resolve,[$cnf( $equal(store(a_426,i0,e_421),a_438) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
( store(a_438,i2,select(a_426,i0)) != store(a_438,i2,e_427)
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) != store(a_438,i2,select(a_426,i0))
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,e_427) ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_426,i0,e_421),i2,select(a_426,i0)))),bind(Y,$fot(store(a_438,i2,select(a_426,i0)))),bind(Z,$fot(store(a_438,i2,e_427)))]]) ).
cnf(refute_0_263,plain,
( store(a_438,i2,select(a_426,i0)) != store(a_438,i2,e_427)
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,e_427) ),
inference(resolve,[$cnf( $equal(store(store(a_426,i0,e_421),i2,select(a_426,i0)),store(a_438,i2,select(a_426,i0))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(a_438,i2,e_427),
inference(resolve,[$cnf( $equal(store(a_438,i2,select(a_426,i0)),store(a_438,i2,e_427)) )],[refute_0_223,refute_0_263]) ).
cnf(refute_0_265,plain,
( store(a_438,i2,e_427) != a_440
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) != store(a_438,i2,e_427)
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = a_440 ),
inference(subst,[],[refute_0_70:[bind(X,$fot(store(store(a_426,i0,e_421),i2,select(a_426,i0)))),bind(Y,$fot(store(a_438,i2,e_427))),bind(Z,$fot(a_440))]]) ).
cnf(refute_0_266,plain,
( store(a_438,i2,e_427) != a_440
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) = a_440 ),
inference(resolve,[$cnf( $equal(store(store(a_426,i0,e_421),i2,select(a_426,i0)),store(a_438,i2,e_427)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
store(store(a_426,i0,e_421),i2,select(a_426,i0)) = a_440,
inference(resolve,[$cnf( $equal(store(a_438,i2,e_427),a_440) )],[refute_0_219,refute_0_266]) ).
cnf(refute_0_268,plain,
( a_430 != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| store(store(a_426,i0,e_421),i2,select(a_426,i0)) != a_440
| a_430 = a_440 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a_430,a_440) ),[0],$fot(store(store(a_426,i0,e_421),i2,select(a_426,i0)))]]) ).
cnf(refute_0_269,plain,
( a_430 != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| a_430 = a_440 ),
inference(resolve,[$cnf( $equal(store(store(a_426,i0,e_421),i2,select(a_426,i0)),a_440) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
( store(store(a_426,i2,e_427),i0,e_421) != store(store(a_426,i0,e_421),i2,select(a_426,i0))
| a_430 = a_440 ),
inference(resolve,[$cnf( $equal(a_430,store(store(a_426,i0,e_421),i2,select(a_426,i0))) )],[refute_0_75,refute_0_269]) ).
cnf(refute_0_271,plain,
a_430 = a_440,
inference(resolve,[$cnf( $equal(store(store(a_426,i2,e_427),i0,e_421),store(store(a_426,i0,e_421),i2,select(a_426,i0))) )],[refute_0_53,refute_0_270]) ).
cnf(refute_0_272,plain,
$false,
inference(resolve,[$cnf( $equal(a_430,a_440) )],[refute_0_271,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 23:36:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55
% 0.20/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.57
%------------------------------------------------------------------------------