TSTP Solution File: SWV543-1.004 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV543-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 : 300s
% DateTime : Tue Aug 22 11:04:57 EDT 2023
% Result : Unsatisfiable 15.81s 5.48s
% Output : CNFRefutation 15.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 58
% Syntax : Number of formulae : 323 ( 248 unt; 32 typ; 0 def)
% Number of atoms : 334 ( 329 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 7 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 30 con; 0-3 aty)
% Number of variables : 49 (; 49 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ store > select > #nlpp > i3 > i2 > i1 > i0 > e_439 > e_437 > e_435 > e_433 > e_429 > e_427 > e_425 > e_423 > e_421 > e_419 > e_416 > a_440 > a_438 > a_436 > a_434 > a_432 > a_431 > a_430 > a_428 > a_426 > a_424 > a_422 > a_420 > a_418 > a_417 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a_424,type,
a_424: $i ).
tff(e_435,type,
e_435: $i ).
tff(a_420,type,
a_420: $i ).
tff(e_419,type,
e_419: $i ).
tff(e_421,type,
e_421: $i ).
tff(e_423,type,
e_423: $i ).
tff(a_438,type,
a_438: $i ).
tff(a_428,type,
a_428: $i ).
tff(a_426,type,
a_426: $i ).
tff(store,type,
store: ( $i * $i * $i ) > $i ).
tff(a_430,type,
a_430: $i ).
tff(a_440,type,
a_440: $i ).
tff(e_416,type,
e_416: $i ).
tff(a_418,type,
a_418: $i ).
tff(e_439,type,
e_439: $i ).
tff(e_427,type,
e_427: $i ).
tff(e_433,type,
e_433: $i ).
tff(a_432,type,
a_432: $i ).
tff(a_431,type,
a_431: $i ).
tff(a_417,type,
a_417: $i ).
tff(e_429,type,
e_429: $i ).
tff(a_422,type,
a_422: $i ).
tff(i1,type,
i1: $i ).
tff(i2,type,
i2: $i ).
tff(select,type,
select: ( $i * $i ) > $i ).
tff(a_436,type,
a_436: $i ).
tff(e_437,type,
e_437: $i ).
tff(a_434,type,
a_434: $i ).
tff(i0,type,
i0: $i ).
tff(e_425,type,
e_425: $i ).
tff(i3,type,
i3: $i ).
tff(f_59,axiom,
a_430 != a_440,
file(unknown,unknown) ).
tff(f_41,axiom,
a_431 = store(a_418,i3,e_421),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,I,E] : ( select(store(A,I,E),I) = E ),
file(unknown,unknown) ).
tff(f_42,axiom,
a_432 = store(a_431,i0,e_419),
file(unknown,unknown) ).
tff(f_30,axiom,
! [I,J,A,E] :
( ( I = J )
| ( select(store(A,I,E),J) = select(A,J) ) ),
file(unknown,unknown) ).
tff(f_55,axiom,
e_435 = select(a_432,i3),
file(unknown,unknown) ).
tff(f_48,axiom,
e_419 = select(a_418,i3),
file(unknown,unknown) ).
tff(f_49,axiom,
e_421 = select(a_418,i0),
file(unknown,unknown) ).
tff(f_36,axiom,
a_422 = store(a_420,i3,e_421),
file(unknown,unknown) ).
tff(f_51,axiom,
e_425 = select(a_422,i3),
file(unknown,unknown) ).
tff(f_38,axiom,
a_426 = store(a_424,i2,e_425),
file(unknown,unknown) ).
tff(f_53,axiom,
e_429 = select(a_426,i2),
file(unknown,unknown) ).
tff(f_40,axiom,
a_430 = store(a_428,i0,e_429),
file(unknown,unknown) ).
tff(f_37,axiom,
a_424 = store(a_422,i3,e_423),
file(unknown,unknown) ).
tff(f_44,axiom,
a_436 = store(a_434,i2,e_435),
file(unknown,unknown) ).
tff(f_57,axiom,
e_439 = select(a_436,i0),
file(unknown,unknown) ).
tff(f_50,axiom,
e_423 = select(a_422,i2),
file(unknown,unknown) ).
tff(f_52,axiom,
e_427 = select(a_426,i0),
file(unknown,unknown) ).
tff(f_39,axiom,
a_428 = store(a_426,i2,e_427),
file(unknown,unknown) ).
tff(f_54,axiom,
e_433 = select(a_432,i2),
file(unknown,unknown) ).
tff(f_35,axiom,
a_420 = store(a_418,i0,e_419),
file(unknown,unknown) ).
tff(f_43,axiom,
a_434 = store(a_432,i3,e_433),
file(unknown,unknown) ).
tff(f_56,axiom,
e_437 = select(a_436,i2),
file(unknown,unknown) ).
tff(f_45,axiom,
a_438 = store(a_436,i0,e_437),
file(unknown,unknown) ).
tff(f_46,axiom,
a_440 = store(a_438,i2,e_439),
file(unknown,unknown) ).
tff(f_32,axiom,
! [A,I,J] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ),
file(unknown,unknown) ).
tff(c_58,plain,
a_440 != a_430,
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_24,plain,
store(a_418,i3,e_421) = a_431,
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_159,plain,
! [A_11,I_12,E_13] : ( select(store(A_11,I_12,E_13),I_12) = E_13 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_201,plain,
select(a_431,i3) = e_421,
inference(superposition,[status(thm),theory(equality)],[c_24,c_159]) ).
tff(c_26,plain,
store(a_431,i0,e_419) = a_432,
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_220,plain,
! [A_14,I_15,E_16,J_17] :
( ( select(store(A_14,I_15,E_16),J_17) = select(A_14,J_17) )
| ( J_17 = I_15 ) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_8441,plain,
! [J_93] :
( ( select(a_432,J_93) = select(a_431,J_93) )
| ( i0 = J_93 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_220]) ).
tff(c_52,plain,
select(a_432,i3) = e_435,
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_8465,plain,
( ( select(a_431,i3) = e_435 )
| ( i3 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8441,c_52]) ).
tff(c_8480,plain,
( ( e_435 = e_421 )
| ( i3 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_8465]) ).
tff(c_8484,plain,
i3 = i0,
inference(splitLeft,[status(thm)],[c_8480]) ).
tff(c_38,plain,
select(a_418,i3) = e_419,
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_8497,plain,
select(a_418,i0) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_38]) ).
tff(c_40,plain,
select(a_418,i0) = e_421,
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_8575,plain,
e_421 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_8497,c_40]) ).
tff(c_14,plain,
store(a_420,i3,e_421) = a_422,
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_177,plain,
select(a_422,i3) = e_421,
inference(superposition,[status(thm),theory(equality)],[c_14,c_159]) ).
tff(c_44,plain,
select(a_422,i3) = e_425,
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_758,plain,
e_425 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_177,c_44]) ).
tff(c_18,plain,
store(a_424,i2,e_425) = a_426,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_180,plain,
select(a_426,i2) = e_425,
inference(superposition,[status(thm),theory(equality)],[c_18,c_159]) ).
tff(c_48,plain,
select(a_426,i2) = e_429,
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_651,plain,
e_429 = e_425,
inference(demodulation,[status(thm),theory(equality)],[c_180,c_48]) ).
tff(c_22,plain,
store(a_428,i0,e_429) = a_430,
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_672,plain,
store(a_428,i0,e_425) = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_651,c_22]) ).
tff(c_862,plain,
store(a_428,i0,e_421) = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_758,c_672]) ).
tff(c_8596,plain,
store(a_428,i0,e_419) = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_8575,c_862]) ).
tff(c_781,plain,
select(a_426,i2) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_758,c_180]) ).
tff(c_8599,plain,
select(a_426,i2) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_8575,c_781]) ).
tff(c_16,plain,
store(a_422,i3,e_423) = a_424,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_189,plain,
select(a_424,i3) = e_423,
inference(superposition,[status(thm),theory(equality)],[c_16,c_159]) ).
tff(c_8492,plain,
select(a_424,i0) = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_189]) ).
tff(c_30,plain,
store(a_434,i2,e_435) = a_436,
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1363,plain,
! [J_28] :
( ( select(a_436,J_28) = select(a_434,J_28) )
| ( i2 = J_28 ) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_220]) ).
tff(c_56,plain,
select(a_436,i0) = e_439,
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1384,plain,
( ( select(a_434,i0) = e_439 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1363,c_56]) ).
tff(c_1400,plain,
i2 = i0,
inference(splitLeft,[status(thm)],[c_1384]) ).
tff(c_1009,plain,
! [J_25] :
( ( select(a_422,J_25) = select(a_420,J_25) )
| ( i3 = J_25 ) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_220]) ).
tff(c_42,plain,
select(a_422,i2) = e_423,
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_1030,plain,
( ( select(a_420,i2) = e_423 )
| ( i3 = i2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_42]) ).
tff(c_1044,plain,
i3 = i2,
inference(splitLeft,[status(thm)],[c_1030]) ).
tff(c_1055,plain,
select(a_418,i2) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_38]) ).
tff(c_1414,plain,
select(a_418,i0) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1055]) ).
tff(c_1676,plain,
e_421 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_1414,c_40]) ).
tff(c_1711,plain,
store(a_428,i0,e_419) = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_1676,c_862]) ).
tff(c_1418,plain,
select(a_426,i0) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_781]) ).
tff(c_46,plain,
select(a_426,i0) = e_427,
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_1486,plain,
e_427 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_1418,c_46]) ).
tff(c_20,plain,
store(a_426,i2,e_427) = a_428,
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1422,plain,
store(a_426,i0,e_427) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_20]) ).
tff(c_1531,plain,
store(a_426,i0,e_421) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_1486,c_1422]) ).
tff(c_1707,plain,
store(a_426,i0,e_419) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_1676,c_1531]) ).
tff(c_782,plain,
store(a_424,i2,e_421) = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_758,c_18]) ).
tff(c_1417,plain,
store(a_424,i0,e_421) = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_782]) ).
tff(c_2014,plain,
store(a_424,i0,e_419) = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_1676,c_1417]) ).
tff(c_192,plain,
select(a_432,i0) = e_419,
inference(superposition,[status(thm),theory(equality)],[c_26,c_159]) ).
tff(c_50,plain,
select(a_432,i2) = e_433,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_1423,plain,
select(a_432,i0) = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_50]) ).
tff(c_1424,plain,
e_433 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_1423]) ).
tff(c_1048,plain,
select(a_422,i2) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_177]) ).
tff(c_1095,plain,
e_423 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_1048,c_42]) ).
tff(c_1052,plain,
store(a_422,i2,e_423) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_16]) ).
tff(c_1296,plain,
store(a_422,i2,e_421) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_1095,c_1052]) ).
tff(c_1404,plain,
store(a_422,i0,e_421) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1296]) ).
tff(c_2037,plain,
store(a_422,i0,e_419) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_1676,c_1404]) ).
tff(c_1051,plain,
store(a_420,i2,e_421) = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_14]) ).
tff(c_1403,plain,
store(a_420,i0,e_421) = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1051]) ).
tff(c_2062,plain,
store(a_420,i0,e_419) = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_1676,c_1403]) ).
tff(c_12,plain,
store(a_418,i0,e_419) = a_420,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1054,plain,
store(a_418,i2,e_421) = a_431,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_24]) ).
tff(c_1406,plain,
store(a_418,i0,e_421) = a_431,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1054]) ).
tff(c_2139,plain,
a_431 = a_420,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1676,c_1406]) ).
tff(c_2142,plain,
store(a_420,i0,e_419) = a_432,
inference(demodulation,[status(thm),theory(equality)],[c_2139,c_26]) ).
tff(c_2144,plain,
a_432 = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_2062,c_2142]) ).
tff(c_28,plain,
store(a_432,i3,e_433) = a_434,
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1053,plain,
store(a_432,i2,e_433) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_28]) ).
tff(c_1405,plain,
store(a_432,i0,e_433) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1053]) ).
tff(c_2050,plain,
store(a_432,i0,e_419) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_1424,c_1405]) ).
tff(c_2149,plain,
store(a_422,i0,e_419) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_2144,c_2050]) ).
tff(c_2151,plain,
a_434 = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_2037,c_2149]) ).
tff(c_1056,plain,
select(a_432,i2) = e_435,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_52]) ).
tff(c_1057,plain,
e_435 = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_50,c_1056]) ).
tff(c_1086,plain,
store(a_434,i2,e_433) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_1057,c_30]) ).
tff(c_1408,plain,
store(a_434,i0,e_433) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1086]) ).
tff(c_2975,plain,
a_436 = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_2014,c_1424,c_2151,c_1408]) ).
tff(c_171,plain,
select(a_436,i2) = e_435,
inference(superposition,[status(thm),theory(equality)],[c_30,c_159]) ).
tff(c_54,plain,
select(a_436,i2) = e_437,
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_214,plain,
e_437 = e_435,
inference(demodulation,[status(thm),theory(equality)],[c_171,c_54]) ).
tff(c_32,plain,
store(a_436,i0,e_437) = a_438,
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_280,plain,
store(a_436,i0,e_435) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_32]) ).
tff(c_1082,plain,
store(a_436,i0,e_433) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_1057,c_280]) ).
tff(c_1429,plain,
store(a_436,i0,e_419) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_1424,c_1082]) ).
tff(c_2976,plain,
store(a_426,i0,e_419) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_2975,c_1429]) ).
tff(c_2979,plain,
a_438 = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_1707,c_2976]) ).
tff(c_1085,plain,
select(a_436,i2) = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_1057,c_171]) ).
tff(c_1409,plain,
select(a_436,i0) = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_1085]) ).
tff(c_1914,plain,
select(a_436,i0) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_1424,c_1409]) ).
tff(c_1915,plain,
e_439 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_1914,c_56]) ).
tff(c_34,plain,
store(a_438,i2,e_439) = a_440,
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1421,plain,
store(a_438,i0,e_439) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_1400,c_34]) ).
tff(c_1936,plain,
store(a_438,i0,e_419) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_1915,c_1421]) ).
tff(c_2986,plain,
store(a_428,i0,e_419) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_2979,c_1936]) ).
tff(c_2988,plain,
a_440 = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_1711,c_2986]) ).
tff(c_2990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_2988]) ).
tff(c_2992,plain,
i2 != i0,
inference(splitRight,[status(thm)],[c_1384]) ).
tff(c_266,plain,
! [J_17] :
( ( select(a_434,J_17) = select(a_432,J_17) )
| ( i3 = J_17 ) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_220]) ).
tff(c_6998,plain,
! [J_77] :
( ( select(a_434,J_77) = select(a_432,J_77) )
| ( i2 = J_77 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_266]) ).
tff(c_1393,plain,
( ( select(a_434,i0) = e_439 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_1363]) ).
tff(c_2993,plain,
select(a_434,i0) = e_439,
inference(negUnitSimplification,[status(thm)],[c_2992,c_1393]) ).
tff(c_7013,plain,
( ( select(a_432,i0) = e_439 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6998,c_2993]) ).
tff(c_7038,plain,
( ( e_439 = e_419 )
| ( i2 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_7013]) ).
tff(c_7039,plain,
e_439 = e_419,
inference(negUnitSimplification,[status(thm)],[c_2992,c_7038]) ).
tff(c_7047,plain,
store(a_438,i2,e_419) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_7039,c_34]) ).
tff(c_302,plain,
! [A_18,J_19,I_20] : ( store(store(A_18,J_19,select(A_18,I_20)),I_20,select(A_18,J_19)) = store(store(A_18,I_20,select(A_18,J_19)),J_19,select(A_18,I_20)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_479,plain,
! [I_20] : ( store(store(a_418,i0,select(a_418,I_20)),I_20,select(a_418,i0)) = store(store(a_418,I_20,e_421),i0,select(a_418,I_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_302]) ).
tff(c_7879,plain,
! [I_85] : ( store(store(a_418,i0,select(a_418,I_85)),I_85,e_421) = store(store(a_418,I_85,e_421),i0,select(a_418,I_85)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_479]) ).
tff(c_7897,plain,
store(store(a_418,i2,e_421),i0,select(a_418,i2)) = store(store(a_418,i0,e_419),i2,e_421),
inference(superposition,[status(thm),theory(equality)],[c_1055,c_7879]) ).
tff(c_7906,plain,
a_432 = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_1051,c_12,c_26,c_1055,c_1054,c_7897]) ).
tff(c_1049,plain,
select(a_431,i2) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_201]) ).
tff(c_3104,plain,
! [J_43] :
( ( select(a_432,J_43) = select(a_431,J_43) )
| ( i0 = J_43 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_220]) ).
tff(c_3125,plain,
( ( select(a_431,i2) = e_433 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3104,c_50]) ).
tff(c_3137,plain,
( ( e_433 = e_421 )
| ( i2 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1049,c_3125]) ).
tff(c_3138,plain,
e_433 = e_421,
inference(negUnitSimplification,[status(thm)],[c_2992,c_3137]) ).
tff(c_3187,plain,
store(a_432,i2,e_421) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_3138,c_1053]) ).
tff(c_7915,plain,
store(a_422,i2,e_421) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_7906,c_3187]) ).
tff(c_7921,plain,
a_434 = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_1296,c_7915]) ).
tff(c_3189,plain,
store(a_434,i2,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_3138,c_1086]) ).
tff(c_7929,plain,
store(a_424,i2,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_7921,c_3189]) ).
tff(c_7933,plain,
a_436 = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_782,c_7929]) ).
tff(c_3186,plain,
store(a_436,i0,e_421) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_3138,c_1082]) ).
tff(c_7940,plain,
store(a_426,i0,e_421) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_7933,c_3186]) ).
tff(c_195,plain,
select(a_420,i0) = e_419,
inference(superposition,[status(thm),theory(equality)],[c_12,c_159]) ).
tff(c_245,plain,
! [J_17] :
( ( select(a_422,J_17) = select(a_420,J_17) )
| ( i3 = J_17 ) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_220]) ).
tff(c_7175,plain,
! [J_78] :
( ( select(a_422,J_78) = select(a_420,J_78) )
| ( i2 = J_78 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_245]) ).
tff(c_3327,plain,
! [J_45] :
( ( select(a_426,J_45) = select(a_424,J_45) )
| ( i2 = J_45 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_220]) ).
tff(c_3348,plain,
( ( select(a_424,i0) = e_427 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3327,c_46]) ).
tff(c_3361,plain,
select(a_424,i0) = e_427,
inference(negUnitSimplification,[status(thm)],[c_2992,c_3348]) ).
tff(c_257,plain,
! [J_17] :
( ( select(a_424,J_17) = select(a_422,J_17) )
| ( i3 = J_17 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_220]) ).
tff(c_1140,plain,
! [J_17] :
( ( select(a_424,J_17) = select(a_422,J_17) )
| ( i2 = J_17 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1044,c_257]) ).
tff(c_3369,plain,
( ( select(a_422,i0) = e_427 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3361,c_1140]) ).
tff(c_3387,plain,
select(a_422,i0) = e_427,
inference(negUnitSimplification,[status(thm)],[c_2992,c_3369]) ).
tff(c_7187,plain,
( ( select(a_420,i0) = e_427 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_7175,c_3387]) ).
tff(c_7213,plain,
( ( e_427 = e_419 )
| ( i2 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_7187]) ).
tff(c_7214,plain,
e_427 = e_419,
inference(negUnitSimplification,[status(thm)],[c_2992,c_7213]) ).
tff(c_7223,plain,
store(a_426,i2,e_419) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_7214,c_20]) ).
tff(c_545,plain,
! [J_19] : ( store(store(a_436,i0,select(a_436,J_19)),J_19,select(a_436,i0)) = store(store(a_436,J_19,e_439),i0,select(a_436,J_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_302]) ).
tff(c_627,plain,
! [J_19] : ( store(store(a_436,i0,select(a_436,J_19)),J_19,e_439) = store(store(a_436,J_19,e_439),i0,select(a_436,J_19)) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_545]) ).
tff(c_8357,plain,
! [J_91] : ( store(store(a_426,i0,select(a_426,J_91)),J_91,e_419) = store(store(a_426,J_91,e_419),i0,select(a_426,J_91)) ),
inference(demodulation,[status(thm),theory(equality)],[c_7933,c_7933,c_7933,c_7933,c_7039,c_7039,c_627]) ).
tff(c_8378,plain,
store(store(a_426,i2,e_419),i0,select(a_426,i2)) = store(store(a_426,i0,e_421),i2,e_419),
inference(superposition,[status(thm),theory(equality)],[c_781,c_8357]) ).
tff(c_8383,plain,
a_440 = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_7047,c_7940,c_862,c_7223,c_781,c_8378]) ).
tff(c_8385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_8383]) ).
tff(c_8387,plain,
i3 != i2,
inference(splitRight,[status(thm)],[c_1030]) ).
tff(c_8486,plain,
i2 != i0,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_8387]) ).
tff(c_8513,plain,
! [J_94] :
( ( select(a_426,J_94) = select(a_424,J_94) )
| ( i2 = J_94 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_220]) ).
tff(c_8534,plain,
( ( select(a_424,i0) = e_427 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8513,c_46]) ).
tff(c_8546,plain,
select(a_424,i0) = e_427,
inference(negUnitSimplification,[status(thm)],[c_8486,c_8534]) ).
tff(c_8747,plain,
e_427 = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_8492,c_8546]) ).
tff(c_8769,plain,
store(a_426,i2,e_423) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_8747,c_20]) ).
tff(c_8770,plain,
select(a_426,i0) = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_8747,c_46]) ).
tff(c_8597,plain,
store(a_424,i2,e_419) = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_8575,c_782]) ).
tff(c_8494,plain,
store(a_422,i0,e_423) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_16]) ).
tff(c_8493,plain,
store(a_420,i0,e_421) = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_14]) ).
tff(c_8987,plain,
store(a_420,i0,e_419) = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_8575,c_8493]) ).
tff(c_8496,plain,
store(a_418,i0,e_421) = a_431,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_24]) ).
tff(c_8977,plain,
a_431 = a_420,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8575,c_8496]) ).
tff(c_8981,plain,
store(a_420,i0,e_419) = a_432,
inference(demodulation,[status(thm),theory(equality)],[c_8977,c_26]) ).
tff(c_9075,plain,
a_432 = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_8987,c_8981]) ).
tff(c_9077,plain,
select(a_422,i2) = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_9075,c_50]) ).
tff(c_9079,plain,
e_433 = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_9077]) ).
tff(c_8495,plain,
store(a_432,i0,e_433) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_28]) ).
tff(c_9089,plain,
a_434 = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_8494,c_9079,c_9075,c_8495]) ).
tff(c_8498,plain,
select(a_432,i0) = e_435,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_52]) ).
tff(c_8499,plain,
e_435 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_8498]) ).
tff(c_8508,plain,
store(a_434,i2,e_419) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_8499,c_30]) ).
tff(c_9090,plain,
store(a_424,i2,e_419) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_9089,c_8508]) ).
tff(c_9091,plain,
a_436 = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_8597,c_9090]) ).
tff(c_9099,plain,
select(a_426,i0) = e_439,
inference(demodulation,[status(thm),theory(equality)],[c_9091,c_56]) ).
tff(c_9101,plain,
e_439 = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_8770,c_9099]) ).
tff(c_9107,plain,
store(a_438,i2,e_423) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_9101,c_34]) ).
tff(c_8504,plain,
store(a_436,i0,e_419) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_8499,c_280]) ).
tff(c_9096,plain,
store(a_426,i0,e_419) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_9091,c_8504]) ).
tff(c_13482,plain,
! [J_154] : ( store(store(a_426,i0,select(a_426,J_154)),J_154,e_423) = store(store(a_426,J_154,e_423),i0,select(a_426,J_154)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9091,c_9091,c_9091,c_9091,c_9101,c_9101,c_627]) ).
tff(c_13500,plain,
store(store(a_426,i2,e_423),i0,select(a_426,i2)) = store(store(a_426,i0,e_419),i2,e_423),
inference(superposition,[status(thm),theory(equality)],[c_8599,c_13482]) ).
tff(c_13507,plain,
a_440 = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_8596,c_8599,c_8769,c_9107,c_9096,c_13500]) ).
tff(c_13509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_13507]) ).
tff(c_13511,plain,
i3 != i0,
inference(splitRight,[status(thm)],[c_8480]) ).
tff(c_8462,plain,
( ( select(a_431,i2) = e_433 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8441,c_50]) ).
tff(c_13659,plain,
i2 = i0,
inference(splitLeft,[status(thm)],[c_8462]) ).
tff(c_13666,plain,
select(a_426,i0) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_781]) ).
tff(c_13792,plain,
e_427 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_13666,c_46]) ).
tff(c_13670,plain,
store(a_426,i0,e_427) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_20]) ).
tff(c_13998,plain,
store(a_426,i0,e_421) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_13792,c_13670]) ).
tff(c_13665,plain,
store(a_424,i0,e_421) = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_782]) ).
tff(c_8386,plain,
select(a_420,i2) = e_423,
inference(splitRight,[status(thm)],[c_1030]) ).
tff(c_13662,plain,
select(a_420,i0) = e_423,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_8386]) ).
tff(c_13673,plain,
e_423 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_195,c_13662]) ).
tff(c_13680,plain,
store(a_422,i3,e_419) = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_13673,c_16]) ).
tff(c_476,plain,
! [I_20] : ( store(store(a_418,I_20,select(a_418,i0)),i0,select(a_418,I_20)) = store(store(a_418,i0,select(a_418,I_20)),I_20,e_421) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_302]) ).
tff(c_18133,plain,
! [I_209] : ( store(store(a_418,i0,select(a_418,I_209)),I_209,e_421) = store(store(a_418,I_209,e_421),i0,select(a_418,I_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_476]) ).
tff(c_18154,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(store(a_418,i0,e_419),i3,e_421),
inference(superposition,[status(thm),theory(equality)],[c_38,c_18133]) ).
tff(c_18161,plain,
a_432 = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_38,c_24,c_14,c_12,c_18154]) ).
tff(c_13671,plain,
select(a_432,i0) = e_433,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_50]) ).
tff(c_13674,plain,
e_433 = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_13671]) ).
tff(c_13717,plain,
store(a_432,i3,e_419) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_13674,c_28]) ).
tff(c_18163,plain,
store(a_422,i3,e_419) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_18161,c_13717]) ).
tff(c_18169,plain,
a_434 = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_13680,c_18163]) ).
tff(c_13510,plain,
e_435 = e_421,
inference(splitRight,[status(thm)],[c_8480]) ).
tff(c_13516,plain,
store(a_434,i2,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_13510,c_30]) ).
tff(c_13660,plain,
store(a_434,i0,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_13516]) ).
tff(c_18177,plain,
store(a_424,i0,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_18169,c_13660]) ).
tff(c_18179,plain,
a_436 = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_13665,c_18177]) ).
tff(c_13512,plain,
store(a_436,i0,e_421) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_13510,c_280]) ).
tff(c_18186,plain,
store(a_426,i0,e_421) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_18179,c_13512]) ).
tff(c_18189,plain,
a_438 = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_13998,c_18186]) ).
tff(c_13515,plain,
select(a_436,i2) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_13510,c_171]) ).
tff(c_13661,plain,
select(a_436,i0) = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_13515]) ).
tff(c_13848,plain,
e_439 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_13661,c_56]) ).
tff(c_13669,plain,
store(a_438,i0,e_439) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_34]) ).
tff(c_13874,plain,
store(a_438,i0,e_421) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_13848,c_13669]) ).
tff(c_18206,plain,
store(a_428,i0,e_421) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_18189,c_13874]) ).
tff(c_18208,plain,
a_440 = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_862,c_18206]) ).
tff(c_18210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_18208]) ).
tff(c_18212,plain,
i2 != i0,
inference(splitRight,[status(thm)],[c_8462]) ).
tff(c_25230,plain,
! [J_272] :
( ( select(a_436,J_272) = select(a_434,J_272) )
| ( i2 = J_272 ) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_220]) ).
tff(c_25251,plain,
( ( select(a_434,i0) = e_439 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25230,c_56]) ).
tff(c_25263,plain,
select(a_434,i0) = e_439,
inference(negUnitSimplification,[status(thm)],[c_18212,c_25251]) ).
tff(c_25270,plain,
( ( select(a_432,i0) = e_439 )
| ( i3 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25263,c_266]) ).
tff(c_25288,plain,
( ( e_439 = e_419 )
| ( i3 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_25270]) ).
tff(c_25289,plain,
e_439 = e_419,
inference(negUnitSimplification,[status(thm)],[c_13511,c_25288]) ).
tff(c_25299,plain,
store(a_438,i2,e_419) = a_440,
inference(demodulation,[status(thm),theory(equality)],[c_25289,c_34]) ).
tff(c_473,plain,
! [J_19] : ( store(store(a_418,i0,select(a_418,J_19)),J_19,select(a_418,i0)) = store(store(a_418,J_19,e_421),i0,select(a_418,J_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_302]) ).
tff(c_26421,plain,
! [J_281] : ( store(store(a_418,i0,select(a_418,J_281)),J_281,e_421) = store(store(a_418,J_281,e_421),i0,select(a_418,J_281)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_473]) ).
tff(c_26445,plain,
store(store(a_418,i3,e_421),i0,select(a_418,i3)) = store(store(a_418,i0,e_419),i3,e_421),
inference(superposition,[status(thm),theory(equality)],[c_38,c_26421]) ).
tff(c_26453,plain,
a_432 = a_422,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_38,c_24,c_14,c_12,c_26445]) ).
tff(c_18235,plain,
! [J_210] :
( ( select(a_420,J_210) = select(a_418,J_210) )
| ( i0 = J_210 ) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_220]) ).
tff(c_18241,plain,
( ( select(a_418,i2) = e_423 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18235,c_8386]) ).
tff(c_18267,plain,
select(a_418,i2) = e_423,
inference(negUnitSimplification,[status(thm)],[c_18212,c_18241]) ).
tff(c_25338,plain,
! [J_273] :
( ( select(a_431,J_273) = select(a_418,J_273) )
| ( i3 = J_273 ) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_220]) ).
tff(c_18211,plain,
select(a_431,i2) = e_433,
inference(splitRight,[status(thm)],[c_8462]) ).
tff(c_25344,plain,
( ( select(a_418,i2) = e_433 )
| ( i3 = i2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25338,c_18211]) ).
tff(c_25370,plain,
( ( e_433 = e_423 )
| ( i3 = i2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18267,c_25344]) ).
tff(c_25371,plain,
e_433 = e_423,
inference(negUnitSimplification,[status(thm)],[c_8387,c_25370]) ).
tff(c_25381,plain,
store(a_432,i3,e_423) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_25371,c_28]) ).
tff(c_26455,plain,
store(a_422,i3,e_423) = a_434,
inference(demodulation,[status(thm),theory(equality)],[c_26453,c_25381]) ).
tff(c_26462,plain,
a_434 = a_424,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_26455]) ).
tff(c_26473,plain,
store(a_424,i2,e_421) = a_436,
inference(demodulation,[status(thm),theory(equality)],[c_26462,c_13516]) ).
tff(c_26476,plain,
a_436 = a_426,
inference(demodulation,[status(thm),theory(equality)],[c_782,c_26473]) ).
tff(c_26482,plain,
store(a_426,i0,e_421) = a_438,
inference(demodulation,[status(thm),theory(equality)],[c_26476,c_13512]) ).
tff(c_25580,plain,
! [J_275] :
( ( select(a_426,J_275) = select(a_424,J_275) )
| ( i2 = J_275 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_220]) ).
tff(c_25601,plain,
( ( select(a_424,i0) = e_427 )
| ( i2 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25580,c_46]) ).
tff(c_25613,plain,
select(a_424,i0) = e_427,
inference(negUnitSimplification,[status(thm)],[c_18212,c_25601]) ).
tff(c_25636,plain,
( ( select(a_422,i0) = e_427 )
| ( i3 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_257,c_25613]) ).
tff(c_25644,plain,
select(a_422,i0) = e_427,
inference(negUnitSimplification,[status(thm)],[c_13511,c_25636]) ).
tff(c_25649,plain,
( ( select(a_420,i0) = e_427 )
| ( i3 = i0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_25644,c_245]) ).
tff(c_25667,plain,
( ( e_427 = e_419 )
| ( i3 = i0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_25649]) ).
tff(c_25668,plain,
e_427 = e_419,
inference(negUnitSimplification,[status(thm)],[c_13511,c_25667]) ).
tff(c_25679,plain,
store(a_426,i2,e_419) = a_428,
inference(demodulation,[status(thm),theory(equality)],[c_25668,c_20]) ).
tff(c_25680,plain,
select(a_426,i0) = e_419,
inference(demodulation,[status(thm),theory(equality)],[c_25668,c_46]) ).
tff(c_780,plain,
e_429 = e_421,
inference(demodulation,[status(thm),theory(equality)],[c_758,c_651]) ).
tff(c_452,plain,
! [I_20] : ( store(store(a_426,I_20,select(a_426,i2)),i2,select(a_426,I_20)) = store(store(a_426,i2,select(a_426,I_20)),I_20,e_429) ),
inference(superposition,[status(thm),theory(equality)],[c_48,c_302]) ).
tff(c_596,plain,
! [I_20] : ( store(store(a_426,i2,select(a_426,I_20)),I_20,e_429) = store(store(a_426,I_20,e_429),i2,select(a_426,I_20)) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_452]) ).
tff(c_26606,plain,
! [I_284] : ( store(store(a_426,i2,select(a_426,I_284)),I_284,e_421) = store(store(a_426,I_284,e_421),i2,select(a_426,I_284)) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_780,c_596]) ).
tff(c_26624,plain,
store(store(a_426,i0,e_421),i2,select(a_426,i0)) = store(store(a_426,i2,e_419),i0,e_421),
inference(superposition,[status(thm),theory(equality)],[c_25680,c_26606]) ).
tff(c_26634,plain,
a_440 = a_430,
inference(demodulation,[status(thm),theory(equality)],[c_25299,c_26482,c_862,c_25679,c_25680,c_26624]) ).
tff(c_26636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_26634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV543-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:35:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 15.81/5.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.81/5.51
% 15.81/5.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.81/5.57
% 15.81/5.57 Inference rules
% 15.81/5.57 ----------------------
% 15.81/5.57 #Ref : 0
% 15.81/5.57 #Sup : 7240
% 15.81/5.57 #Fact : 0
% 15.81/5.57 #Define : 0
% 15.81/5.57 #Split : 15
% 15.81/5.57 #Chain : 0
% 15.81/5.57 #Close : 0
% 15.81/5.57
% 15.81/5.57 Ordering : KBO
% 15.81/5.57
% 15.81/5.57 Simplification rules
% 15.81/5.57 ----------------------
% 15.81/5.57 #Subsume : 221
% 15.81/5.57 #Demod : 4892
% 15.81/5.57 #Tautology : 3262
% 15.81/5.57 #SimpNegUnit : 460
% 15.81/5.57 #BackRed : 684
% 15.81/5.57
% 15.81/5.57 #Partial instantiations: 0
% 15.81/5.57 #Strategies tried : 1
% 15.81/5.57
% 15.81/5.57 Timing (in seconds)
% 15.81/5.57 ----------------------
% 16.16/5.57 Preprocessing : 0.48
% 16.16/5.57 Parsing : 0.26
% 16.16/5.57 CNF conversion : 0.02
% 16.16/5.57 Main loop : 3.99
% 16.16/5.57 Inferencing : 1.21
% 16.16/5.57 Reduction : 1.86
% 16.16/5.57 Demodulation : 1.52
% 16.16/5.57 BG Simplification : 0.15
% 16.16/5.57 Subsumption : 0.47
% 16.16/5.57 Abstraction : 0.19
% 16.16/5.57 MUC search : 0.00
% 16.16/5.57 Cooper : 0.00
% 16.16/5.57 Total : 4.56
% 16.16/5.57 Index Insertion : 0.00
% 16.16/5.57 Index Deletion : 0.00
% 16.16/5.57 Index Matching : 0.00
% 16.16/5.57 BG Taut test : 0.00
%------------------------------------------------------------------------------