TSTP Solution File: ARI432_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI432_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:48:01 EDT 2023
% Result : Theorem 22.09s 3.66s
% Output : Proof 75.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ARI432_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n021.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 : 300
% 0.14/0.34 % DateTime : Tue Aug 29 17:58:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.45/0.90 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.45/0.90 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 2.13/1.01 Prover 4: Preprocessing ...
% 2.13/1.01 Prover 1: Preprocessing ...
% 2.65/1.06 Prover 0: Preprocessing ...
% 2.65/1.06 Prover 6: Preprocessing ...
% 3.52/1.24 Prover 5: Preprocessing ...
% 3.52/1.24 Prover 3: Preprocessing ...
% 3.52/1.25 Prover 2: Preprocessing ...
% 6.74/1.70 Prover 6: Constructing countermodel ...
% 6.74/1.70 Prover 1: Constructing countermodel ...
% 7.28/1.73 Prover 4: Constructing countermodel ...
% 7.76/1.85 Prover 0: Proving ...
% 10.20/2.18 Prover 1: gave up
% 10.80/2.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.80/2.19 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 10.80/2.19 Prover 6: gave up
% 10.80/2.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.80/2.21 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 10.80/2.22 Prover 8: Preprocessing ...
% 10.80/2.26 Prover 7: Preprocessing ...
% 11.85/2.33 Prover 8: Warning: ignoring some quantifiers
% 11.85/2.35 Prover 8: Constructing countermodel ...
% 14.26/2.65 Prover 8: gave up
% 14.26/2.65 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 14.26/2.65 Prover 9: Warning: Problem contains reals, using incomplete axiomatisation
% 14.42/2.68 Prover 3: Constructing countermodel ...
% 14.42/2.71 Prover 9: Preprocessing ...
% 14.42/2.71 Prover 2: Proving ...
% 15.07/2.75 Prover 7: Warning: ignoring some quantifiers
% 15.07/2.78 Prover 7: Constructing countermodel ...
% 16.11/2.90 Prover 5: Proving ...
% 19.74/3.44 Prover 9: Constructing countermodel ...
% 22.09/3.66 Prover 0: proved (3026ms)
% 22.09/3.66
% 22.09/3.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.09/3.66
% 22.09/3.67 Prover 3: stopped
% 22.09/3.67 Prover 9: stopped
% 22.09/3.67 Prover 2: stopped
% 22.09/3.67 Prover 5: stopped
% 22.09/3.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.09/3.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.09/3.68 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 22.09/3.68 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 22.09/3.68 Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 22.09/3.68 Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 22.09/3.68 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 22.09/3.68 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 22.09/3.68 Prover 16: Warning: Problem contains reals, using incomplete axiomatisation
% 22.09/3.68 Prover 13: Preprocessing ...
% 22.09/3.69 Prover 19: Warning: Problem contains reals, using incomplete axiomatisation
% 22.09/3.71 Prover 11: Preprocessing ...
% 22.09/3.72 Prover 19: Preprocessing ...
% 22.09/3.72 Prover 10: Preprocessing ...
% 22.09/3.72 Prover 13: Warning: ignoring some quantifiers
% 22.09/3.73 Prover 13: Constructing countermodel ...
% 22.09/3.74 Prover 16: Preprocessing ...
% 23.40/3.89 Prover 13: gave up
% 26.25/4.25 Prover 10: Warning: ignoring some quantifiers
% 26.25/4.27 Prover 10: Constructing countermodel ...
% 26.25/4.29 Prover 16: Warning: ignoring some quantifiers
% 27.03/4.30 Prover 16: Constructing countermodel ...
% 28.04/4.48 Prover 11: Constructing countermodel ...
% 35.28/5.40 Prover 19: Warning: ignoring some quantifiers
% 35.28/5.42 Prover 19: Constructing countermodel ...
% 64.03/9.05 Prover 19: stopped
% 73.54/10.28 Prover 4: Found proof (size 461)
% 73.54/10.28 Prover 4: proved (9645ms)
% 73.54/10.28 Prover 11: stopped
% 73.54/10.28 Prover 16: stopped
% 73.54/10.29 Prover 10: stopped
% 73.54/10.29 Prover 7: stopped
% 73.54/10.29
% 73.54/10.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.54/10.29
% 73.86/10.40 % SZS output start Proof for theBenchmark
% 73.86/10.40 Assumptions after simplification:
% 73.86/10.40 ---------------------------------
% 73.86/10.40
% 73.86/10.40 (real_difference_problem_8)
% 74.23/10.43 ? [v0: $real] : ( ~ (v0 = real_4) & real_$difference(real_321/20, v0) =
% 74.23/10.43 real_241/20)
% 74.23/10.43
% 74.23/10.43 (input)
% 74.23/10.46 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_4) & ~
% 74.23/10.46 (real_very_large = real_241/20) & ~ (real_very_large = real_321/20) & ~
% 74.23/10.46 (real_very_large = real_0) & ~ (real_very_small = real_4) & ~
% 74.23/10.46 (real_very_small = real_241/20) & ~ (real_very_small = real_321/20) & ~
% 74.23/10.46 (real_very_small = real_0) & ~ (real_4 = real_241/20) & ~ (real_4 =
% 74.23/10.46 real_321/20) & ~ (real_4 = real_0) & ~ (real_241/20 = real_321/20) & ~
% 74.23/10.46 (real_241/20 = real_0) & ~ (real_321/20 = real_0) & real_$is_int(real_4) = 0
% 74.23/10.46 & real_$is_int(real_241/20) = 1 & real_$is_int(real_321/20) = 1 &
% 74.23/10.46 real_$is_int(real_0) = 0 & real_$is_rat(real_4) = 0 &
% 74.23/10.46 real_$is_rat(real_241/20) = 0 & real_$is_rat(real_321/20) = 0 &
% 74.23/10.46 real_$is_rat(real_0) = 0 & real_$floor(real_4) = real_4 & real_$floor(real_0)
% 74.23/10.46 = real_0 & real_$ceiling(real_4) = real_4 & real_$ceiling(real_0) = real_0 &
% 74.23/10.46 real_$truncate(real_4) = real_4 & real_$truncate(real_0) = real_0 &
% 74.23/10.46 real_$round(real_4) = real_4 & real_$round(real_0) = real_0 &
% 74.23/10.46 real_$to_int(real_4) = 4 & real_$to_int(real_241/20) = 12 &
% 74.23/10.46 real_$to_int(real_321/20) = 16 & real_$to_int(real_0) = 0 &
% 74.23/10.46 real_$to_rat(real_4) = rat_4 & real_$to_rat(real_241/20) = rat_241/20 &
% 74.23/10.46 real_$to_rat(real_321/20) = rat_321/20 & real_$to_rat(real_0) = rat_0 &
% 74.23/10.46 real_$to_real(real_4) = real_4 & real_$to_real(real_241/20) = real_241/20 &
% 74.23/10.46 real_$to_real(real_321/20) = real_321/20 & real_$to_real(real_0) = real_0 &
% 74.23/10.46 int_$to_real(4) = real_4 & int_$to_real(0) = real_0 & real_$quotient(real_0,
% 74.23/10.46 real_4) = real_0 & real_$quotient(real_0, real_241/20) = real_0 &
% 74.23/10.46 real_$quotient(real_0, real_321/20) = real_0 & real_$product(real_4, real_0) =
% 74.23/10.46 real_0 & real_$product(real_241/20, real_0) = real_0 &
% 74.23/10.46 real_$product(real_321/20, real_0) = real_0 & real_$product(real_0, real_4) =
% 74.23/10.46 real_0 & real_$product(real_0, real_241/20) = real_0 & real_$product(real_0,
% 74.23/10.46 real_321/20) = real_0 & real_$product(real_0, real_0) = real_0 &
% 74.23/10.46 real_$uminus(real_0) = real_0 & real_$sum(real_4, real_241/20) = real_321/20 &
% 74.23/10.46 real_$sum(real_4, real_0) = real_4 & real_$sum(real_241/20, real_4) =
% 74.23/10.46 real_321/20 & real_$sum(real_241/20, real_0) = real_241/20 &
% 74.23/10.46 real_$sum(real_321/20, real_0) = real_321/20 & real_$sum(real_0, real_4) =
% 74.23/10.46 real_4 & real_$sum(real_0, real_241/20) = real_241/20 & real_$sum(real_0,
% 74.23/10.46 real_321/20) = real_321/20 & real_$sum(real_0, real_0) = real_0 &
% 74.23/10.46 real_$greatereq(real_very_small, real_very_large) = 1 &
% 74.23/10.46 real_$greatereq(real_4, real_4) = 0 & real_$greatereq(real_4, real_241/20) = 1
% 74.23/10.46 & real_$greatereq(real_4, real_321/20) = 1 & real_$greatereq(real_4, real_0) =
% 74.23/10.46 0 & real_$greatereq(real_241/20, real_4) = 0 & real_$greatereq(real_241/20,
% 74.23/10.46 real_241/20) = 0 & real_$greatereq(real_241/20, real_321/20) = 1 &
% 74.23/10.46 real_$greatereq(real_241/20, real_0) = 0 & real_$greatereq(real_321/20,
% 74.23/10.46 real_4) = 0 & real_$greatereq(real_321/20, real_241/20) = 0 &
% 74.23/10.46 real_$greatereq(real_321/20, real_321/20) = 0 & real_$greatereq(real_321/20,
% 74.23/10.46 real_0) = 0 & real_$greatereq(real_0, real_4) = 1 & real_$greatereq(real_0,
% 74.23/10.46 real_241/20) = 1 & real_$greatereq(real_0, real_321/20) = 1 &
% 74.23/10.46 real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small,
% 74.23/10.46 real_very_large) = 0 & real_$lesseq(real_4, real_4) = 0 &
% 74.23/10.46 real_$lesseq(real_4, real_241/20) = 0 & real_$lesseq(real_4, real_321/20) = 0
% 74.23/10.46 & real_$lesseq(real_4, real_0) = 1 & real_$lesseq(real_241/20, real_4) = 1 &
% 74.23/10.46 real_$lesseq(real_241/20, real_241/20) = 0 & real_$lesseq(real_241/20,
% 74.23/10.46 real_321/20) = 0 & real_$lesseq(real_241/20, real_0) = 1 &
% 74.23/10.46 real_$lesseq(real_321/20, real_4) = 1 & real_$lesseq(real_321/20, real_241/20)
% 74.23/10.46 = 1 & real_$lesseq(real_321/20, real_321/20) = 0 & real_$lesseq(real_321/20,
% 74.23/10.46 real_0) = 1 & real_$lesseq(real_0, real_4) = 0 & real_$lesseq(real_0,
% 74.23/10.46 real_241/20) = 0 & real_$lesseq(real_0, real_321/20) = 0 &
% 74.23/10.46 real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, real_4) = 0
% 74.23/10.46 & real_$greater(real_very_large, real_241/20) = 0 &
% 74.23/10.46 real_$greater(real_very_large, real_321/20) = 0 &
% 74.23/10.46 real_$greater(real_very_large, real_0) = 0 & real_$greater(real_very_small,
% 74.23/10.46 real_very_large) = 1 & real_$greater(real_4, real_very_small) = 0 &
% 74.23/10.47 real_$greater(real_4, real_4) = 1 & real_$greater(real_4, real_241/20) = 1 &
% 74.23/10.47 real_$greater(real_4, real_321/20) = 1 & real_$greater(real_4, real_0) = 0 &
% 74.23/10.47 real_$greater(real_241/20, real_very_small) = 0 & real_$greater(real_241/20,
% 74.23/10.47 real_4) = 0 & real_$greater(real_241/20, real_241/20) = 1 &
% 74.23/10.47 real_$greater(real_241/20, real_321/20) = 1 & real_$greater(real_241/20,
% 74.23/10.47 real_0) = 0 & real_$greater(real_321/20, real_very_small) = 0 &
% 74.23/10.47 real_$greater(real_321/20, real_4) = 0 & real_$greater(real_321/20,
% 74.23/10.47 real_241/20) = 0 & real_$greater(real_321/20, real_321/20) = 1 &
% 74.23/10.47 real_$greater(real_321/20, real_0) = 0 & real_$greater(real_0,
% 74.23/10.47 real_very_small) = 0 & real_$greater(real_0, real_4) = 1 &
% 74.23/10.47 real_$greater(real_0, real_241/20) = 1 & real_$greater(real_0, real_321/20) =
% 74.23/10.47 1 & real_$greater(real_0, real_0) = 1 & real_$less(real_very_small,
% 74.23/10.47 real_very_large) = 0 & real_$less(real_very_small, real_4) = 0 &
% 74.23/10.47 real_$less(real_very_small, real_241/20) = 0 & real_$less(real_very_small,
% 74.23/10.47 real_321/20) = 0 & real_$less(real_very_small, real_0) = 0 &
% 74.23/10.47 real_$less(real_4, real_very_large) = 0 & real_$less(real_4, real_4) = 1 &
% 74.23/10.47 real_$less(real_4, real_241/20) = 0 & real_$less(real_4, real_321/20) = 0 &
% 74.23/10.47 real_$less(real_4, real_0) = 1 & real_$less(real_241/20, real_very_large) = 0
% 74.23/10.47 & real_$less(real_241/20, real_4) = 1 & real_$less(real_241/20, real_241/20) =
% 74.23/10.47 1 & real_$less(real_241/20, real_321/20) = 0 & real_$less(real_241/20, real_0)
% 74.23/10.47 = 1 & real_$less(real_321/20, real_very_large) = 0 & real_$less(real_321/20,
% 74.23/10.47 real_4) = 1 & real_$less(real_321/20, real_241/20) = 1 &
% 74.23/10.47 real_$less(real_321/20, real_321/20) = 1 & real_$less(real_321/20, real_0) = 1
% 74.23/10.47 & real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_4) = 0 &
% 74.23/10.47 real_$less(real_0, real_241/20) = 0 & real_$less(real_0, real_321/20) = 0 &
% 74.23/10.47 real_$less(real_0, real_0) = 1 & real_$difference(real_4, real_4) = real_0 &
% 74.23/10.47 real_$difference(real_4, real_0) = real_4 & real_$difference(real_241/20,
% 74.23/10.47 real_241/20) = real_0 & real_$difference(real_241/20, real_0) = real_241/20
% 74.23/10.47 & real_$difference(real_321/20, real_4) = real_241/20 &
% 74.23/10.47 real_$difference(real_321/20, real_241/20) = real_4 &
% 74.23/10.47 real_$difference(real_321/20, real_321/20) = real_0 &
% 74.23/10.47 real_$difference(real_321/20, real_0) = real_321/20 & real_$difference(real_0,
% 74.23/10.47 real_0) = real_0 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : !
% 74.23/10.47 [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~
% 74.23/10.47 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 &
% 74.23/10.47 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.47 $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v2, v3) = v4) | ~
% 74.23/10.47 (real_$sum(v1, v0) = v3) | ? [v5: $real] : (real_$sum(v5, v0) = v4 &
% 74.23/10.47 real_$sum(v2, v1) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.47 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~
% 74.23/10.47 (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1,
% 74.23/10.47 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3:
% 74.23/10.47 int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v2, v0) =
% 74.23/10.47 v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) = v4)) & ! [v0:
% 74.23/10.47 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~
% 74.23/10.47 (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] :
% 74.23/10.47 ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real]
% 74.23/10.47 : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~
% 74.23/10.47 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1)
% 74.23/10.47 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] :
% 74.23/10.47 (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4:
% 74.23/10.47 int] : ( ~ (v4 = 0) & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : !
% 74.23/10.47 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v0)
% 74.23/10.47 = v3) | ~ (real_$less(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) &
% 74.23/10.47 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.47 $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1,
% 74.23/10.47 v2) = v3) | real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1:
% 74.23/10.47 $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (real_$less(v1, v0) = v2) |
% 74.23/10.47 ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] :
% 74.23/10.47 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) |
% 74.23/10.47 ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] :
% 74.23/10.47 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ?
% 74.23/10.47 [v3: int] : ( ~ (v3 = 0) & real_$greatereq(v0, v1) = v3)) & ! [v0: $real] :
% 74.23/10.47 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ?
% 74.23/10.47 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : !
% 74.23/10.47 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ?
% 74.23/10.47 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : !
% 74.23/10.47 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3:
% 74.23/10.47 int] : ( ~ (v3 = 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : !
% 74.23/10.47 [v1: $real] : ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2)
% 74.23/10.47 | real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.47 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & !
% 74.23/10.47 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) =
% 74.23/10.47 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : !
% 74.23/10.47 [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = v2) & ! [v0:
% 74.23/10.47 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, v1) = v2) |
% 74.23/10.47 real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] :
% 74.23/10.47 ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) |
% 74.23/10.47 real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 74.23/10.47 : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) |
% 74.23/10.47 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] :
% 74.23/10.47 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2,
% 74.23/10.47 v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~
% 74.23/10.47 (real_$difference(v1, v0) = v2) | ? [v3: $real] : (real_$uminus(v0) = v3 &
% 74.23/10.47 real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~
% 74.23/10.47 (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 |
% 74.23/10.47 ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] :
% 74.23/10.47 ! [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : !
% 74.23/10.47 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0:
% 74.23/10.47 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) =
% 74.23/10.47 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) =
% 74.23/10.47 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 74.23/10.47 (real_$lesseq(v1, v0) = 0) | real_$greatereq(v0, v1) = 0) & ! [v0: $real] :
% 74.23/10.47 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) &
% 74.23/10.47 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) |
% 74.23/10.47 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 74.23/10.47 (real_$less(v1, v0) = 0) | real_$greater(v0, v1) = 0) & ! [v0: $real] : !
% 74.23/10.47 [v1: MultipleValueBool] : ( ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0)
% 74.23/10.47 = 0) & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0))
% 74.23/10.47
% 74.23/10.47 (function-axioms)
% 74.23/10.48 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 |
% 74.23/10.48 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & !
% 74.23/10.48 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 74.23/10.48 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0:
% 74.23/10.48 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 74.23/10.48 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0:
% 74.23/10.48 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 74.23/10.48 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~
% 74.23/10.48 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 74.23/10.48 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 74.23/10.48 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0:
% 74.23/10.48 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 74.23/10.48 $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~ (real_$greater(v3,
% 74.23/10.48 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 74.23/10.48 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~
% 74.23/10.48 (real_$less(v3, v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.48 $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$difference(v3, v2) = v1) | ~
% 74.23/10.48 (real_$difference(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 74.23/10.48 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1)
% 74.23/10.48 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 74.23/10.48 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1)
% 74.23/10.48 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.48 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) &
% 74.23/10.48 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 74.23/10.48 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] :
% 74.23/10.48 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~
% 74.23/10.48 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 74.23/10.48 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) &
% 74.23/10.48 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2)
% 74.23/10.48 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 74.23/10.48 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) =
% 74.23/10.48 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 74.23/10.48 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] :
% 74.23/10.48 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~
% 74.23/10.48 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 74.23/10.48 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 74.23/10.48
% 74.23/10.48 Those formulas are unsatisfiable:
% 74.23/10.48 ---------------------------------
% 74.23/10.48
% 74.23/10.48 Begin of proof
% 74.23/10.48 |
% 74.23/10.48 | ALPHA: (function-axioms) implies:
% 74.54/10.48 | (1) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 74.54/10.49 | (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 74.54/10.49 | (2) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1
% 74.54/10.49 | = v0 | ~ (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0))
% 74.54/10.49 |
% 74.54/10.49 | ALPHA: (input) implies:
% 74.54/10.49 | (3) real_$difference(real_321/20, real_321/20) = real_0
% 74.54/10.49 | (4) real_$difference(real_321/20, real_241/20) = real_4
% 74.54/10.49 | (5) real_$difference(real_321/20, real_4) = real_241/20
% 74.54/10.49 | (6) real_$difference(real_241/20, real_241/20) = real_0
% 74.54/10.49 | (7) real_$difference(real_4, real_4) = real_0
% 74.54/10.49 | (8) real_$less(real_241/20, real_241/20) = 1
% 74.54/10.49 | (9) real_$less(real_241/20, real_very_large) = 0
% 74.54/10.49 | (10) real_$sum(real_0, real_0) = real_0
% 74.54/10.49 | (11) real_$sum(real_0, real_321/20) = real_321/20
% 74.54/10.49 | (12) real_$sum(real_0, real_241/20) = real_241/20
% 74.54/10.49 | (13) real_$sum(real_0, real_4) = real_4
% 74.54/10.49 | (14) real_$sum(real_321/20, real_0) = real_321/20
% 74.54/10.49 | (15) real_$sum(real_241/20, real_0) = real_241/20
% 74.54/10.49 | (16) real_$sum(real_241/20, real_4) = real_321/20
% 74.54/10.49 | (17) real_$sum(real_4, real_0) = real_4
% 74.54/10.49 | (18) real_$sum(real_4, real_241/20) = real_321/20
% 74.54/10.49 | (19) ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) |
% 74.54/10.49 | real_$uminus(v1) = v0)
% 74.54/10.49 | (20) ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0)
% 74.54/10.49 | = v1))
% 74.54/10.49 | (21) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~
% 74.54/10.49 | (real_$difference(v1, v0) = v2) | ? [v3: $real] : (real_$uminus(v0)
% 74.54/10.49 | = v3 & real_$sum(v1, v3) = v2))
% 74.54/10.49 | (22) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v1,
% 74.54/10.49 | v0) = v2) | real_$sum(v0, v1) = v2)
% 74.54/10.49 | (23) ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~
% 74.54/10.49 | (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 74.54/10.49 | real_$greatereq(v0, v1) = v3))
% 74.54/10.49 | (24) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3
% 74.54/10.49 | = 0 | ~ (real_$less(v2, v1) = 0) | ~ (real_$less(v2, v0) = v3) |
% 74.54/10.49 | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1, v0) = v4))
% 74.54/10.49 | (25) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : !
% 74.54/10.49 | [v4: $real] : ( ~ (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) =
% 74.54/10.49 | v3) | ? [v5: $real] : (real_$sum(v5, v0) = v4 & real_$sum(v2, v1)
% 74.54/10.49 | = v5))
% 74.54/10.49 | (26) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : !
% 74.54/10.49 | [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) =
% 74.54/10.49 | v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0)
% 74.54/10.49 | = v5))
% 74.54/10.49 |
% 74.54/10.50 | DELTA: instantiating (real_difference_problem_8) with fresh symbol all_5_0
% 74.54/10.50 | gives:
% 74.54/10.50 | (27) ~ (all_5_0 = real_4) & real_$difference(real_321/20, all_5_0) =
% 74.54/10.50 | real_241/20
% 74.54/10.50 |
% 74.54/10.50 | ALPHA: (27) implies:
% 74.54/10.50 | (28) ~ (all_5_0 = real_4)
% 74.54/10.50 | (29) real_$difference(real_321/20, all_5_0) = real_241/20
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with real_321/20, real_321/20, real_0,
% 74.54/10.50 | simplifying with (3) gives:
% 74.54/10.50 | (30) ? [v0: $real] : (real_$uminus(real_321/20) = v0 &
% 74.54/10.50 | real_$sum(real_321/20, v0) = real_0)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with real_241/20, real_321/20, real_4,
% 74.54/10.50 | simplifying with (4) gives:
% 74.54/10.50 | (31) ? [v0: $real] : (real_$uminus(real_241/20) = v0 &
% 74.54/10.50 | real_$sum(real_321/20, v0) = real_4)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with real_4, real_321/20, real_241/20,
% 74.54/10.50 | simplifying with (5) gives:
% 74.54/10.50 | (32) ? [v0: $real] : (real_$uminus(real_4) = v0 & real_$sum(real_321/20,
% 74.54/10.50 | v0) = real_241/20)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with all_5_0, real_321/20, real_241/20,
% 74.54/10.50 | simplifying with (29) gives:
% 74.54/10.50 | (33) ? [v0: $real] : (real_$uminus(all_5_0) = v0 & real_$sum(real_321/20,
% 74.54/10.50 | v0) = real_241/20)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with real_241/20, real_241/20, real_0,
% 74.54/10.50 | simplifying with (6) gives:
% 74.54/10.50 | (34) ? [v0: $real] : (real_$uminus(real_241/20) = v0 &
% 74.54/10.50 | real_$sum(real_241/20, v0) = real_0)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (21) with real_4, real_4, real_0, simplifying with
% 74.54/10.50 | (7) gives:
% 74.54/10.50 | (35) ? [v0: $real] : (real_$uminus(real_4) = v0 & real_$sum(real_4, v0) =
% 74.54/10.50 | real_0)
% 74.54/10.50 |
% 74.54/10.50 | GROUND_INST: instantiating (24) with real_241/20, real_very_large,
% 74.54/10.50 | real_241/20, 1, simplifying with (8), (9) gives:
% 74.54/10.50 | (36) ? [v0: int] : ( ~ (v0 = 0) & real_$lesseq(real_very_large,
% 74.54/10.50 | real_241/20) = v0)
% 74.54/10.50 |
% 74.54/10.50 | DELTA: instantiating (36) with fresh symbol all_15_0 gives:
% 74.54/10.50 | (37) ~ (all_15_0 = 0) & real_$lesseq(real_very_large, real_241/20) =
% 74.54/10.50 | all_15_0
% 74.54/10.50 |
% 74.54/10.50 | ALPHA: (37) implies:
% 74.54/10.50 | (38) ~ (all_15_0 = 0)
% 74.54/10.50 | (39) real_$lesseq(real_very_large, real_241/20) = all_15_0
% 74.54/10.50 |
% 74.54/10.50 | DELTA: instantiating (33) with fresh symbol all_23_0 gives:
% 74.54/10.50 | (40) real_$uminus(all_5_0) = all_23_0 & real_$sum(real_321/20, all_23_0) =
% 74.54/10.50 | real_241/20
% 74.54/10.50 |
% 74.54/10.50 | ALPHA: (40) implies:
% 74.54/10.50 | (41) real_$sum(real_321/20, all_23_0) = real_241/20
% 74.54/10.50 | (42) real_$uminus(all_5_0) = all_23_0
% 74.54/10.50 |
% 74.54/10.50 | DELTA: instantiating (31) with fresh symbol all_25_0 gives:
% 74.54/10.50 | (43) real_$uminus(real_241/20) = all_25_0 & real_$sum(real_321/20,
% 74.54/10.50 | all_25_0) = real_4
% 74.54/10.50 |
% 74.54/10.50 | ALPHA: (43) implies:
% 74.54/10.50 | (44) real_$sum(real_321/20, all_25_0) = real_4
% 74.54/10.50 | (45) real_$uminus(real_241/20) = all_25_0
% 74.54/10.50 |
% 74.54/10.50 | DELTA: instantiating (30) with fresh symbol all_27_0 gives:
% 74.54/10.50 | (46) real_$uminus(real_321/20) = all_27_0 & real_$sum(real_321/20,
% 74.54/10.50 | all_27_0) = real_0
% 74.54/10.50 |
% 74.54/10.50 | ALPHA: (46) implies:
% 74.54/10.51 | (47) real_$sum(real_321/20, all_27_0) = real_0
% 74.54/10.51 |
% 74.54/10.51 | DELTA: instantiating (35) with fresh symbol all_31_0 gives:
% 74.54/10.51 | (48) real_$uminus(real_4) = all_31_0 & real_$sum(real_4, all_31_0) = real_0
% 74.54/10.51 |
% 74.54/10.51 | ALPHA: (48) implies:
% 74.54/10.51 | (49) real_$sum(real_4, all_31_0) = real_0
% 74.54/10.51 | (50) real_$uminus(real_4) = all_31_0
% 74.54/10.51 |
% 74.54/10.51 | DELTA: instantiating (34) with fresh symbol all_33_0 gives:
% 74.54/10.51 | (51) real_$uminus(real_241/20) = all_33_0 & real_$sum(real_241/20,
% 74.54/10.51 | all_33_0) = real_0
% 74.54/10.51 |
% 74.54/10.51 | ALPHA: (51) implies:
% 74.54/10.51 | (52) real_$sum(real_241/20, all_33_0) = real_0
% 74.54/10.51 | (53) real_$uminus(real_241/20) = all_33_0
% 74.54/10.51 |
% 74.54/10.51 | DELTA: instantiating (32) with fresh symbol all_35_0 gives:
% 74.54/10.51 | (54) real_$uminus(real_4) = all_35_0 & real_$sum(real_321/20, all_35_0) =
% 74.54/10.51 | real_241/20
% 74.54/10.51 |
% 74.54/10.51 | ALPHA: (54) implies:
% 74.54/10.51 | (55) real_$sum(real_321/20, all_35_0) = real_241/20
% 74.54/10.51 | (56) real_$uminus(real_4) = all_35_0
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (1) with all_25_0, all_33_0, real_241/20,
% 74.54/10.51 | simplifying with (45), (53) gives:
% 74.54/10.51 | (57) all_33_0 = all_25_0
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (1) with all_31_0, all_35_0, real_4, simplifying
% 74.54/10.51 | with (50), (56) gives:
% 74.54/10.51 | (58) all_35_0 = all_31_0
% 74.54/10.51 |
% 74.54/10.51 | REDUCE: (52), (57) imply:
% 74.54/10.51 | (59) real_$sum(real_241/20, all_25_0) = real_0
% 74.54/10.51 |
% 74.54/10.51 | REDUCE: (55), (58) imply:
% 74.54/10.51 | (60) real_$sum(real_321/20, all_31_0) = real_241/20
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (23) with real_241/20, real_very_large, all_15_0,
% 74.54/10.51 | simplifying with (39) gives:
% 74.54/10.51 | (61) all_15_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 74.54/10.51 | real_$greatereq(real_241/20, real_very_large) = v0)
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (26) with all_23_0, real_241/20, real_4,
% 74.54/10.51 | real_321/20, real_241/20, simplifying with (18), (41) gives:
% 74.54/10.51 | (62) ? [v0: $real] : (real_$sum(real_4, v0) = real_241/20 &
% 74.54/10.51 | real_$sum(real_241/20, all_23_0) = v0)
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (25) with all_23_0, real_321/20, real_4,
% 74.54/10.51 | real_241/20, real_321/20, simplifying with (18), (41) gives:
% 74.54/10.51 | (63) ? [v0: $real] : (real_$sum(v0, all_23_0) = real_321/20 &
% 74.54/10.51 | real_$sum(real_4, real_321/20) = v0)
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (26) with all_23_0, real_4, real_241/20,
% 74.54/10.51 | real_321/20, real_241/20, simplifying with (16), (41) gives:
% 74.54/10.51 | (64) ? [v0: $real] : (real_$sum(real_4, all_23_0) = v0 &
% 74.54/10.51 | real_$sum(real_241/20, v0) = real_241/20)
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (26) with real_0, all_23_0, real_321/20,
% 74.54/10.51 | real_241/20, real_241/20, simplifying with (15), (41) gives:
% 74.54/10.51 | (65) ? [v0: $real] : (real_$sum(all_23_0, real_0) = v0 &
% 74.54/10.51 | real_$sum(real_321/20, v0) = real_241/20)
% 74.54/10.51 |
% 74.54/10.51 | GROUND_INST: instantiating (26) with all_23_0, real_0, real_321/20,
% 74.54/10.51 | real_321/20, real_241/20, simplifying with (14), (41) gives:
% 74.54/10.51 | (66) ? [v0: $real] : (real_$sum(real_321/20, v0) = real_241/20 &
% 74.54/10.51 | real_$sum(real_0, all_23_0) = v0)
% 74.54/10.51 |
% 74.54/10.52 | GROUND_INST: instantiating (22) with all_23_0, real_321/20, real_241/20,
% 74.54/10.52 | simplifying with (41) gives:
% 74.54/10.52 | (67) real_$sum(all_23_0, real_321/20) = real_241/20
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with real_241/20, all_25_0, real_321/20,
% 74.54/10.52 | real_4, real_321/20, simplifying with (18), (44) gives:
% 74.54/10.52 | (68) ? [v0: $real] : (real_$sum(all_25_0, real_241/20) = v0 &
% 74.54/10.52 | real_$sum(real_321/20, v0) = real_321/20)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with real_0, all_25_0, real_321/20, real_4,
% 74.54/10.52 | real_4, simplifying with (17), (44) gives:
% 74.54/10.52 | (69) ? [v0: $real] : (real_$sum(all_25_0, real_0) = v0 &
% 74.54/10.52 | real_$sum(real_321/20, v0) = real_4)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with all_25_0, real_4, real_241/20,
% 74.54/10.52 | real_321/20, real_4, simplifying with (16), (44) gives:
% 74.54/10.52 | (70) ? [v0: $real] : (real_$sum(real_4, all_25_0) = v0 &
% 74.54/10.52 | real_$sum(real_241/20, v0) = real_4)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (25) with all_25_0, real_321/20, real_241/20,
% 74.54/10.52 | real_4, real_321/20, simplifying with (16), (44) gives:
% 74.54/10.52 | (71) ? [v0: $real] : (real_$sum(v0, all_25_0) = real_321/20 &
% 74.54/10.52 | real_$sum(real_241/20, real_321/20) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with all_25_0, real_0, real_321/20,
% 74.54/10.52 | real_321/20, real_4, simplifying with (14), (44) gives:
% 74.54/10.52 | (72) ? [v0: $real] : (real_$sum(real_321/20, v0) = real_4 &
% 74.54/10.52 | real_$sum(real_0, all_25_0) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (22) with all_25_0, real_321/20, real_4,
% 74.54/10.52 | simplifying with (44) gives:
% 74.54/10.52 | (73) real_$sum(all_25_0, real_321/20) = real_4
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with all_27_0, real_241/20, real_4,
% 74.54/10.52 | real_321/20, real_0, simplifying with (18), (47) gives:
% 74.54/10.52 | (74) ? [v0: $real] : (real_$sum(real_4, v0) = real_0 &
% 74.54/10.52 | real_$sum(real_241/20, all_27_0) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (25) with all_27_0, real_321/20, real_4, real_0,
% 74.54/10.52 | real_4, simplifying with (17), (47) gives:
% 74.54/10.52 | (75) ? [v0: $real] : (real_$sum(v0, all_27_0) = real_4 & real_$sum(real_4,
% 74.54/10.52 | real_321/20) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with all_27_0, real_4, real_241/20,
% 74.54/10.52 | real_321/20, real_0, simplifying with (16), (47) gives:
% 74.54/10.52 | (76) ? [v0: $real] : (real_$sum(real_4, all_27_0) = v0 &
% 74.54/10.52 | real_$sum(real_241/20, v0) = real_0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (25) with all_27_0, real_321/20, real_241/20,
% 74.54/10.52 | real_0, real_241/20, simplifying with (15), (47) gives:
% 74.54/10.52 | (77) ? [v0: $real] : (real_$sum(v0, all_27_0) = real_241/20 &
% 74.54/10.52 | real_$sum(real_241/20, real_321/20) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with all_27_0, real_0, real_321/20,
% 74.54/10.52 | real_321/20, real_0, simplifying with (14), (47) gives:
% 74.54/10.52 | (78) ? [v0: $real] : (real_$sum(real_321/20, v0) = real_0 &
% 74.54/10.52 | real_$sum(real_0, all_27_0) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (25) with all_27_0, real_321/20, real_321/20,
% 74.54/10.52 | real_0, real_321/20, simplifying with (14), (47) gives:
% 74.54/10.52 | (79) ? [v0: $real] : (real_$sum(v0, all_27_0) = real_321/20 &
% 74.54/10.52 | real_$sum(real_321/20, real_321/20) = v0)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with real_4, all_27_0, real_321/20, real_0,
% 74.54/10.52 | real_4, simplifying with (13), (47) gives:
% 74.54/10.52 | (80) ? [v0: $real] : (real_$sum(all_27_0, real_4) = v0 &
% 74.54/10.52 | real_$sum(real_321/20, v0) = real_4)
% 74.54/10.52 |
% 74.54/10.52 | GROUND_INST: instantiating (26) with real_241/20, all_27_0, real_321/20,
% 74.54/10.52 | real_0, real_241/20, simplifying with (12), (47) gives:
% 74.54/10.53 | (81) ? [v0: $real] : (real_$sum(all_27_0, real_241/20) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_241/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_321/20, all_27_0, real_321/20,
% 74.54/10.53 | real_0, real_321/20, simplifying with (11), (47) gives:
% 74.54/10.53 | (82) ? [v0: $real] : (real_$sum(all_27_0, real_321/20) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_321/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_0, all_27_0, real_321/20, real_0,
% 74.54/10.53 | real_0, simplifying with (10), (47) gives:
% 74.54/10.53 | (83) ? [v0: $real] : (real_$sum(all_27_0, real_0) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (22) with all_27_0, real_321/20, real_0,
% 74.54/10.53 | simplifying with (47) gives:
% 74.54/10.53 | (84) real_$sum(all_27_0, real_321/20) = real_0
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (25) with all_31_0, real_321/20, real_4,
% 74.54/10.53 | real_241/20, real_321/20, simplifying with (18), (60) gives:
% 74.54/10.53 | (85) ? [v0: $real] : (real_$sum(v0, all_31_0) = real_321/20 &
% 74.54/10.53 | real_$sum(real_4, real_321/20) = v0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_4, all_31_0, real_321/20,
% 74.54/10.53 | real_241/20, real_321/20, simplifying with (16), (60) gives:
% 74.54/10.53 | (86) ? [v0: $real] : (real_$sum(all_31_0, real_4) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_321/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_0, all_31_0, real_321/20,
% 74.54/10.53 | real_241/20, real_241/20, simplifying with (15), (60) gives:
% 74.54/10.53 | (87) ? [v0: $real] : (real_$sum(all_31_0, real_0) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_241/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with all_31_0, real_0, real_321/20,
% 74.54/10.53 | real_321/20, real_241/20, simplifying with (14), (60) gives:
% 74.54/10.53 | (88) ? [v0: $real] : (real_$sum(real_321/20, v0) = real_241/20 &
% 74.54/10.53 | real_$sum(real_0, all_31_0) = v0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (22) with all_31_0, real_321/20, real_241/20,
% 74.54/10.53 | simplifying with (60) gives:
% 74.54/10.53 | (89) real_$sum(all_31_0, real_321/20) = real_241/20
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with all_25_0, real_0, real_241/20,
% 74.54/10.53 | real_241/20, real_0, simplifying with (15), (59) gives:
% 74.54/10.53 | (90) ? [v0: $real] : (real_$sum(real_241/20, v0) = real_0 &
% 74.54/10.53 | real_$sum(real_0, all_25_0) = v0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (25) with all_25_0, real_241/20, real_241/20,
% 74.54/10.53 | real_0, real_241/20, simplifying with (15), (59) gives:
% 74.54/10.53 | (91) ? [v0: $real] : (real_$sum(v0, all_25_0) = real_241/20 &
% 74.54/10.53 | real_$sum(real_241/20, real_241/20) = v0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (25) with all_25_0, real_241/20, real_321/20,
% 74.54/10.53 | real_0, real_321/20, simplifying with (14), (59) gives:
% 74.54/10.53 | (92) ? [v0: $real] : (real_$sum(v0, all_25_0) = real_321/20 &
% 74.54/10.53 | real_$sum(real_321/20, real_241/20) = v0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_4, all_25_0, real_241/20, real_0,
% 74.54/10.53 | real_4, simplifying with (13), (59) gives:
% 74.54/10.53 | (93) ? [v0: $real] : (real_$sum(all_25_0, real_4) = v0 &
% 74.54/10.53 | real_$sum(real_241/20, v0) = real_4)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_241/20, all_25_0, real_241/20,
% 74.54/10.53 | real_0, real_241/20, simplifying with (12), (59) gives:
% 74.54/10.53 | (94) ? [v0: $real] : (real_$sum(all_25_0, real_241/20) = v0 &
% 74.54/10.53 | real_$sum(real_241/20, v0) = real_241/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_321/20, all_25_0, real_241/20,
% 74.54/10.53 | real_0, real_321/20, simplifying with (11), (59) gives:
% 74.54/10.53 | (95) ? [v0: $real] : (real_$sum(all_25_0, real_321/20) = v0 &
% 74.54/10.53 | real_$sum(real_241/20, v0) = real_321/20)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with real_0, all_25_0, real_241/20, real_0,
% 74.54/10.53 | real_0, simplifying with (10), (59) gives:
% 74.54/10.53 | (96) ? [v0: $real] : (real_$sum(all_25_0, real_0) = v0 &
% 74.54/10.53 | real_$sum(real_241/20, v0) = real_0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with all_25_0, all_31_0, real_321/20,
% 74.54/10.53 | real_241/20, real_0, simplifying with (59), (60) gives:
% 74.54/10.53 | (97) ? [v0: $real] : (real_$sum(all_31_0, all_25_0) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (26) with all_25_0, all_23_0, real_321/20,
% 74.54/10.53 | real_241/20, real_0, simplifying with (41), (59) gives:
% 74.54/10.53 | (98) ? [v0: $real] : (real_$sum(all_23_0, all_25_0) = v0 &
% 74.54/10.53 | real_$sum(real_321/20, v0) = real_0)
% 74.54/10.53 |
% 74.54/10.53 | GROUND_INST: instantiating (22) with all_25_0, real_241/20, real_0,
% 74.54/10.53 | simplifying with (59) gives:
% 74.54/10.54 | (99) real_$sum(all_25_0, real_241/20) = real_0
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with all_31_0, real_0, real_4, real_4, real_0,
% 74.54/10.54 | simplifying with (17), (49) gives:
% 74.54/10.54 | (100) ? [v0: $real] : (real_$sum(real_4, v0) = real_0 & real_$sum(real_0,
% 74.54/10.54 | all_31_0) = v0)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (25) with all_31_0, real_4, real_321/20, real_0,
% 74.54/10.54 | real_321/20, simplifying with (14), (49) gives:
% 74.54/10.54 | (101) ? [v0: $real] : (real_$sum(v0, all_31_0) = real_321/20 &
% 74.54/10.54 | real_$sum(real_321/20, real_4) = v0)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with real_4, all_31_0, real_4, real_0, real_4,
% 74.54/10.54 | simplifying with (13), (49) gives:
% 74.54/10.54 | (102) ? [v0: $real] : (real_$sum(all_31_0, real_4) = v0 &
% 74.54/10.54 | real_$sum(real_4, v0) = real_4)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with real_241/20, all_31_0, real_4, real_0,
% 74.54/10.54 | real_241/20, simplifying with (12), (49) gives:
% 74.54/10.54 | (103) ? [v0: $real] : (real_$sum(all_31_0, real_241/20) = v0 &
% 74.54/10.54 | real_$sum(real_4, v0) = real_241/20)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with real_321/20, all_31_0, real_4, real_0,
% 74.54/10.54 | real_321/20, simplifying with (11), (49) gives:
% 74.54/10.54 | (104) ? [v0: $real] : (real_$sum(all_31_0, real_321/20) = v0 &
% 74.54/10.54 | real_$sum(real_4, v0) = real_321/20)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with real_0, all_31_0, real_4, real_0, real_0,
% 74.54/10.54 | simplifying with (10), (49) gives:
% 74.54/10.54 | (105) ? [v0: $real] : (real_$sum(all_31_0, real_0) = v0 &
% 74.54/10.54 | real_$sum(real_4, v0) = real_0)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (26) with all_31_0, all_25_0, real_321/20, real_4,
% 74.54/10.54 | real_0, simplifying with (44), (49) gives:
% 74.54/10.54 | (106) ? [v0: $real] : (real_$sum(all_25_0, all_31_0) = v0 &
% 74.54/10.54 | real_$sum(real_321/20, v0) = real_0)
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (22) with all_31_0, real_4, real_0, simplifying
% 74.54/10.54 | with (49) gives:
% 74.54/10.54 | (107) real_$sum(all_31_0, real_4) = real_0
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (19) with real_4, all_31_0, simplifying with (50)
% 74.54/10.54 | gives:
% 74.54/10.54 | (108) real_$uminus(all_31_0) = real_4
% 74.54/10.54 |
% 74.54/10.54 | GROUND_INST: instantiating (19) with all_5_0, all_23_0, simplifying with (42)
% 74.54/10.54 | gives:
% 74.54/10.54 | (109) real_$uminus(all_23_0) = all_5_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (83) with fresh symbol all_55_0 gives:
% 74.54/10.54 | (110) real_$sum(all_27_0, real_0) = all_55_0 & real_$sum(real_321/20,
% 74.54/10.54 | all_55_0) = real_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (110) implies:
% 74.54/10.54 | (111) real_$sum(real_321/20, all_55_0) = real_0
% 74.54/10.54 | (112) real_$sum(all_27_0, real_0) = all_55_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (98) with fresh symbol all_57_0 gives:
% 74.54/10.54 | (113) real_$sum(all_23_0, all_25_0) = all_57_0 & real_$sum(real_321/20,
% 74.54/10.54 | all_57_0) = real_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (113) implies:
% 74.54/10.54 | (114) real_$sum(real_321/20, all_57_0) = real_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (68) with fresh symbol all_59_0 gives:
% 74.54/10.54 | (115) real_$sum(all_25_0, real_241/20) = all_59_0 & real_$sum(real_321/20,
% 74.54/10.54 | all_59_0) = real_321/20
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (115) implies:
% 74.54/10.54 | (116) real_$sum(real_321/20, all_59_0) = real_321/20
% 74.54/10.54 | (117) real_$sum(all_25_0, real_241/20) = all_59_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (106) with fresh symbol all_61_0 gives:
% 74.54/10.54 | (118) real_$sum(all_25_0, all_31_0) = all_61_0 & real_$sum(real_321/20,
% 74.54/10.54 | all_61_0) = real_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (118) implies:
% 74.54/10.54 | (119) real_$sum(real_321/20, all_61_0) = real_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (105) with fresh symbol all_63_0 gives:
% 74.54/10.54 | (120) real_$sum(all_31_0, real_0) = all_63_0 & real_$sum(real_4, all_63_0)
% 74.54/10.54 | = real_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (120) implies:
% 74.54/10.54 | (121) real_$sum(all_31_0, real_0) = all_63_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (102) with fresh symbol all_65_0 gives:
% 74.54/10.54 | (122) real_$sum(all_31_0, real_4) = all_65_0 & real_$sum(real_4, all_65_0)
% 74.54/10.54 | = real_4
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (122) implies:
% 74.54/10.54 | (123) real_$sum(real_4, all_65_0) = real_4
% 74.54/10.54 | (124) real_$sum(all_31_0, real_4) = all_65_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (95) with fresh symbol all_69_0 gives:
% 74.54/10.54 | (125) real_$sum(all_25_0, real_321/20) = all_69_0 & real_$sum(real_241/20,
% 74.54/10.54 | all_69_0) = real_321/20
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (125) implies:
% 74.54/10.54 | (126) real_$sum(real_241/20, all_69_0) = real_321/20
% 74.54/10.54 | (127) real_$sum(all_25_0, real_321/20) = all_69_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (94) with fresh symbol all_71_0 gives:
% 74.54/10.54 | (128) real_$sum(all_25_0, real_241/20) = all_71_0 & real_$sum(real_241/20,
% 74.54/10.54 | all_71_0) = real_241/20
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (128) implies:
% 74.54/10.54 | (129) real_$sum(real_241/20, all_71_0) = real_241/20
% 74.54/10.54 | (130) real_$sum(all_25_0, real_241/20) = all_71_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (100) with fresh symbol all_73_0 gives:
% 74.54/10.54 | (131) real_$sum(real_4, all_73_0) = real_0 & real_$sum(real_0, all_31_0) =
% 74.54/10.54 | all_73_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (131) implies:
% 74.54/10.54 | (132) real_$sum(real_0, all_31_0) = all_73_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (101) with fresh symbol all_75_0 gives:
% 74.54/10.54 | (133) real_$sum(all_75_0, all_31_0) = real_321/20 & real_$sum(real_321/20,
% 74.54/10.54 | real_4) = all_75_0
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (133) implies:
% 74.54/10.54 | (134) real_$sum(all_75_0, all_31_0) = real_321/20
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (104) with fresh symbol all_77_0 gives:
% 74.54/10.54 | (135) real_$sum(all_31_0, real_321/20) = all_77_0 & real_$sum(real_4,
% 74.54/10.54 | all_77_0) = real_321/20
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (135) implies:
% 74.54/10.54 | (136) real_$sum(real_4, all_77_0) = real_321/20
% 74.54/10.54 | (137) real_$sum(all_31_0, real_321/20) = all_77_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (103) with fresh symbol all_79_0 gives:
% 74.54/10.54 | (138) real_$sum(all_31_0, real_241/20) = all_79_0 & real_$sum(real_4,
% 74.54/10.54 | all_79_0) = real_241/20
% 74.54/10.54 |
% 74.54/10.54 | ALPHA: (138) implies:
% 74.54/10.54 | (139) real_$sum(all_31_0, real_241/20) = all_79_0
% 74.54/10.54 |
% 74.54/10.54 | DELTA: instantiating (64) with fresh symbol all_83_0 gives:
% 74.54/10.55 | (140) real_$sum(real_4, all_23_0) = all_83_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_83_0) = real_241/20
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (140) implies:
% 74.54/10.55 | (141) real_$sum(real_241/20, all_83_0) = real_241/20
% 74.54/10.55 | (142) real_$sum(real_4, all_23_0) = all_83_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (63) with fresh symbol all_91_0 gives:
% 74.54/10.55 | (143) real_$sum(all_91_0, all_23_0) = real_321/20 & real_$sum(real_4,
% 74.54/10.55 | real_321/20) = all_91_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (143) implies:
% 74.54/10.55 | (144) real_$sum(real_4, real_321/20) = all_91_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (62) with fresh symbol all_93_0 gives:
% 74.54/10.55 | (145) real_$sum(real_4, all_93_0) = real_241/20 & real_$sum(real_241/20,
% 74.54/10.55 | all_23_0) = all_93_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (145) implies:
% 74.54/10.55 | (146) real_$sum(real_241/20, all_23_0) = all_93_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (97) with fresh symbol all_95_0 gives:
% 74.54/10.55 | (147) real_$sum(all_31_0, all_25_0) = all_95_0 & real_$sum(real_321/20,
% 74.54/10.55 | all_95_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (147) implies:
% 74.54/10.55 | (148) real_$sum(real_321/20, all_95_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (96) with fresh symbol all_97_0 gives:
% 74.54/10.55 | (149) real_$sum(all_25_0, real_0) = all_97_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_97_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (149) implies:
% 74.54/10.55 | (150) real_$sum(real_241/20, all_97_0) = real_0
% 74.54/10.55 | (151) real_$sum(all_25_0, real_0) = all_97_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (93) with fresh symbol all_99_0 gives:
% 74.54/10.55 | (152) real_$sum(all_25_0, real_4) = all_99_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_99_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (152) implies:
% 74.54/10.55 | (153) real_$sum(real_241/20, all_99_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (92) with fresh symbol all_101_0 gives:
% 74.54/10.55 | (154) real_$sum(all_101_0, all_25_0) = real_321/20 & real_$sum(real_321/20,
% 74.54/10.55 | real_241/20) = all_101_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (154) implies:
% 74.54/10.55 | (155) real_$sum(real_321/20, real_241/20) = all_101_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (80) with fresh symbol all_103_0 gives:
% 74.54/10.55 | (156) real_$sum(all_27_0, real_4) = all_103_0 & real_$sum(real_321/20,
% 74.54/10.55 | all_103_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (156) implies:
% 74.54/10.55 | (157) real_$sum(all_27_0, real_4) = all_103_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (78) with fresh symbol all_105_0 gives:
% 74.54/10.55 | (158) real_$sum(real_321/20, all_105_0) = real_0 & real_$sum(real_0,
% 74.54/10.55 | all_27_0) = all_105_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (158) implies:
% 74.54/10.55 | (159) real_$sum(real_0, all_27_0) = all_105_0
% 74.54/10.55 | (160) real_$sum(real_321/20, all_105_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (79) with fresh symbol all_107_0 gives:
% 74.54/10.55 | (161) real_$sum(all_107_0, all_27_0) = real_321/20 & real_$sum(real_321/20,
% 74.54/10.55 | real_321/20) = all_107_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (161) implies:
% 74.54/10.55 | (162) real_$sum(real_321/20, real_321/20) = all_107_0
% 74.54/10.55 | (163) real_$sum(all_107_0, all_27_0) = real_321/20
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (76) with fresh symbol all_109_0 gives:
% 74.54/10.55 | (164) real_$sum(real_4, all_27_0) = all_109_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_109_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (164) implies:
% 74.54/10.55 | (165) real_$sum(real_241/20, all_109_0) = real_0
% 74.54/10.55 | (166) real_$sum(real_4, all_27_0) = all_109_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (66) with fresh symbol all_111_0 gives:
% 74.54/10.55 | (167) real_$sum(real_321/20, all_111_0) = real_241/20 & real_$sum(real_0,
% 74.54/10.55 | all_23_0) = all_111_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (167) implies:
% 74.54/10.55 | (168) real_$sum(real_0, all_23_0) = all_111_0
% 74.54/10.55 | (169) real_$sum(real_321/20, all_111_0) = real_241/20
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (75) with fresh symbol all_113_0 gives:
% 74.54/10.55 | (170) real_$sum(all_113_0, all_27_0) = real_4 & real_$sum(real_4,
% 74.54/10.55 | real_321/20) = all_113_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (170) implies:
% 74.54/10.55 | (171) real_$sum(real_4, real_321/20) = all_113_0
% 74.54/10.55 | (172) real_$sum(all_113_0, all_27_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (65) with fresh symbol all_125_0 gives:
% 74.54/10.55 | (173) real_$sum(all_23_0, real_0) = all_125_0 & real_$sum(real_321/20,
% 74.54/10.55 | all_125_0) = real_241/20
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (173) implies:
% 74.54/10.55 | (174) real_$sum(real_321/20, all_125_0) = real_241/20
% 74.54/10.55 | (175) real_$sum(all_23_0, real_0) = all_125_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (77) with fresh symbol all_127_0 gives:
% 74.54/10.55 | (176) real_$sum(all_127_0, all_27_0) = real_241/20 & real_$sum(real_241/20,
% 74.54/10.55 | real_321/20) = all_127_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (176) implies:
% 74.54/10.55 | (177) real_$sum(real_241/20, real_321/20) = all_127_0
% 74.54/10.55 | (178) real_$sum(all_127_0, all_27_0) = real_241/20
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (88) with fresh symbol all_129_0 gives:
% 74.54/10.55 | (179) real_$sum(real_321/20, all_129_0) = real_241/20 & real_$sum(real_0,
% 74.54/10.55 | all_31_0) = all_129_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (179) implies:
% 74.54/10.55 | (180) real_$sum(real_0, all_31_0) = all_129_0
% 74.54/10.55 | (181) real_$sum(real_321/20, all_129_0) = real_241/20
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (74) with fresh symbol all_131_0 gives:
% 74.54/10.55 | (182) real_$sum(real_4, all_131_0) = real_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_27_0) = all_131_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (182) implies:
% 74.54/10.55 | (183) real_$sum(real_241/20, all_27_0) = all_131_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (72) with fresh symbol all_133_0 gives:
% 74.54/10.55 | (184) real_$sum(real_321/20, all_133_0) = real_4 & real_$sum(real_0,
% 74.54/10.55 | all_25_0) = all_133_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (184) implies:
% 74.54/10.55 | (185) real_$sum(real_0, all_25_0) = all_133_0
% 74.54/10.55 | (186) real_$sum(real_321/20, all_133_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (70) with fresh symbol all_135_0 gives:
% 74.54/10.55 | (187) real_$sum(real_4, all_25_0) = all_135_0 & real_$sum(real_241/20,
% 74.54/10.55 | all_135_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (187) implies:
% 74.54/10.55 | (188) real_$sum(real_241/20, all_135_0) = real_4
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (91) with fresh symbol all_137_0 gives:
% 74.54/10.55 | (189) real_$sum(all_137_0, all_25_0) = real_241/20 & real_$sum(real_241/20,
% 74.54/10.55 | real_241/20) = all_137_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (189) implies:
% 74.54/10.55 | (190) real_$sum(real_241/20, real_241/20) = all_137_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (90) with fresh symbol all_139_0 gives:
% 74.54/10.55 | (191) real_$sum(real_241/20, all_139_0) = real_0 & real_$sum(real_0,
% 74.54/10.55 | all_25_0) = all_139_0
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (191) implies:
% 74.54/10.55 | (192) real_$sum(real_0, all_25_0) = all_139_0
% 74.54/10.55 | (193) real_$sum(real_241/20, all_139_0) = real_0
% 74.54/10.55 |
% 74.54/10.55 | DELTA: instantiating (82) with fresh symbol all_141_0 gives:
% 74.54/10.55 | (194) real_$sum(all_27_0, real_321/20) = all_141_0 & real_$sum(real_321/20,
% 74.54/10.55 | all_141_0) = real_321/20
% 74.54/10.55 |
% 74.54/10.55 | ALPHA: (194) implies:
% 74.54/10.56 | (195) real_$sum(all_27_0, real_321/20) = all_141_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (69) with fresh symbol all_143_0 gives:
% 74.54/10.56 | (196) real_$sum(all_25_0, real_0) = all_143_0 & real_$sum(real_321/20,
% 74.54/10.56 | all_143_0) = real_4
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (196) implies:
% 74.54/10.56 | (197) real_$sum(all_25_0, real_0) = all_143_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (81) with fresh symbol all_145_0 gives:
% 74.54/10.56 | (198) real_$sum(all_27_0, real_241/20) = all_145_0 & real_$sum(real_321/20,
% 74.54/10.56 | all_145_0) = real_241/20
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (198) implies:
% 74.54/10.56 | (199) real_$sum(real_321/20, all_145_0) = real_241/20
% 74.54/10.56 | (200) real_$sum(all_27_0, real_241/20) = all_145_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (71) with fresh symbol all_147_0 gives:
% 74.54/10.56 | (201) real_$sum(all_147_0, all_25_0) = real_321/20 & real_$sum(real_241/20,
% 74.54/10.56 | real_321/20) = all_147_0
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (201) implies:
% 74.54/10.56 | (202) real_$sum(real_241/20, real_321/20) = all_147_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (87) with fresh symbol all_149_0 gives:
% 74.54/10.56 | (203) real_$sum(all_31_0, real_0) = all_149_0 & real_$sum(real_321/20,
% 74.54/10.56 | all_149_0) = real_241/20
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (203) implies:
% 74.54/10.56 | (204) real_$sum(all_31_0, real_0) = all_149_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (85) with fresh symbol all_151_0 gives:
% 74.54/10.56 | (205) real_$sum(all_151_0, all_31_0) = real_321/20 & real_$sum(real_4,
% 74.54/10.56 | real_321/20) = all_151_0
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (205) implies:
% 74.54/10.56 | (206) real_$sum(real_4, real_321/20) = all_151_0
% 74.54/10.56 |
% 74.54/10.56 | DELTA: instantiating (86) with fresh symbol all_155_0 gives:
% 74.54/10.56 | (207) real_$sum(all_31_0, real_4) = all_155_0 & real_$sum(real_321/20,
% 74.54/10.56 | all_155_0) = real_321/20
% 74.54/10.56 |
% 74.54/10.56 | ALPHA: (207) implies:
% 74.54/10.56 | (208) real_$sum(all_31_0, real_4) = all_155_0
% 74.54/10.56 |
% 74.54/10.56 | BETA: splitting (61) gives:
% 74.54/10.56 |
% 74.54/10.56 | Case 1:
% 74.54/10.56 | |
% 74.54/10.56 | | (209) all_15_0 = 0
% 74.54/10.56 | |
% 74.54/10.56 | | REDUCE: (38), (209) imply:
% 74.54/10.56 | | (210) $false
% 74.90/10.56 | |
% 74.90/10.56 | | CLOSE: (210) is inconsistent.
% 74.90/10.56 | |
% 74.90/10.56 | Case 2:
% 74.90/10.56 | |
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_133_0, all_139_0, all_25_0, real_0,
% 74.90/10.56 | | simplifying with (185), (192) gives:
% 74.90/10.56 | | (211) all_139_0 = all_133_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_73_0, all_129_0, all_31_0, real_0,
% 74.90/10.56 | | simplifying with (132), (180) gives:
% 74.90/10.56 | | (212) all_129_0 = all_73_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_127_0, all_147_0, real_321/20,
% 74.90/10.56 | | real_241/20, simplifying with (177), (202) gives:
% 74.90/10.56 | | (213) all_147_0 = all_127_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_113_0, all_151_0, real_321/20,
% 74.90/10.56 | | real_4, simplifying with (171), (206) gives:
% 74.90/10.56 | | (214) all_151_0 = all_113_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_91_0, all_151_0, real_321/20,
% 74.90/10.56 | | real_4, simplifying with (144), (206) gives:
% 74.90/10.56 | | (215) all_151_0 = all_91_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (20) with all_23_0, all_125_0, simplifying with
% 74.90/10.56 | | (175) gives:
% 74.90/10.56 | | (216) all_125_0 = all_23_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_97_0, all_143_0, real_0, all_25_0,
% 74.90/10.56 | | simplifying with (151), (197) gives:
% 74.90/10.56 | | (217) all_143_0 = all_97_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (20) with all_25_0, all_143_0, simplifying with
% 74.90/10.56 | | (197) gives:
% 74.90/10.56 | | (218) all_143_0 = all_25_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with real_4, all_69_0, real_321/20, all_25_0,
% 74.90/10.56 | | simplifying with (73), (127) gives:
% 74.90/10.56 | | (219) all_69_0 = real_4
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_59_0, all_71_0, real_241/20,
% 74.90/10.56 | | all_25_0, simplifying with (117), (130) gives:
% 74.90/10.56 | | (220) all_71_0 = all_59_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with real_0, all_71_0, real_241/20, all_25_0,
% 74.90/10.56 | | simplifying with (99), (130) gives:
% 74.90/10.56 | | (221) all_71_0 = real_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (20) with all_27_0, all_55_0, simplifying with
% 74.90/10.56 | | (112) gives:
% 74.90/10.56 | | (222) all_55_0 = all_27_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with real_0, all_141_0, real_321/20,
% 74.90/10.56 | | all_27_0, simplifying with (84), (195) gives:
% 74.90/10.56 | | (223) all_141_0 = real_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_63_0, all_149_0, real_0, all_31_0,
% 74.90/10.56 | | simplifying with (121), (204) gives:
% 74.90/10.56 | | (224) all_149_0 = all_63_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (20) with all_31_0, all_149_0, simplifying with
% 74.90/10.56 | | (204) gives:
% 74.90/10.56 | | (225) all_149_0 = all_31_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with real_241/20, all_77_0, real_321/20,
% 74.90/10.56 | | all_31_0, simplifying with (89), (137) gives:
% 74.90/10.56 | | (226) all_77_0 = real_241/20
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with all_65_0, all_155_0, real_4, all_31_0,
% 74.90/10.56 | | simplifying with (124), (208) gives:
% 74.90/10.56 | | (227) all_155_0 = all_65_0
% 74.90/10.56 | |
% 74.90/10.56 | | GROUND_INST: instantiating (2) with real_0, all_155_0, real_4, all_31_0,
% 74.90/10.56 | | simplifying with (107), (208) gives:
% 74.90/10.56 | | (228) all_155_0 = real_0
% 74.90/10.56 | |
% 74.90/10.56 | | COMBINE_EQS: (227), (228) imply:
% 74.90/10.56 | | (229) all_65_0 = real_0
% 74.90/10.56 | |
% 74.90/10.56 | | SIMP: (229) implies:
% 74.90/10.57 | | (230) all_65_0 = real_0
% 74.90/10.57 | |
% 74.90/10.57 | | COMBINE_EQS: (214), (215) imply:
% 74.90/10.57 | | (231) all_113_0 = all_91_0
% 74.90/10.57 | |
% 74.90/10.57 | | COMBINE_EQS: (224), (225) imply:
% 74.90/10.57 | | (232) all_63_0 = all_31_0
% 74.90/10.57 | |
% 74.90/10.57 | | SIMP: (232) implies:
% 74.90/10.57 | | (233) all_63_0 = all_31_0
% 74.90/10.57 | |
% 74.90/10.57 | | COMBINE_EQS: (217), (218) imply:
% 74.90/10.57 | | (234) all_97_0 = all_25_0
% 74.90/10.57 | |
% 74.90/10.57 | | SIMP: (234) implies:
% 74.90/10.57 | | (235) all_97_0 = all_25_0
% 74.90/10.57 | |
% 74.90/10.57 | | COMBINE_EQS: (220), (221) imply:
% 74.90/10.57 | | (236) all_59_0 = real_0
% 74.90/10.57 | |
% 74.90/10.57 | | SIMP: (236) implies:
% 74.90/10.57 | | (237) all_59_0 = real_0
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (172), (231) imply:
% 74.90/10.57 | | (238) real_$sum(all_91_0, all_27_0) = real_4
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (121), (233) imply:
% 74.90/10.57 | | (239) real_$sum(all_31_0, real_0) = all_31_0
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (112), (222) imply:
% 74.90/10.57 | | (240) real_$sum(all_27_0, real_0) = all_27_0
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (175), (216) imply:
% 74.90/10.57 | | (241) real_$sum(all_23_0, real_0) = all_23_0
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (193), (211) imply:
% 74.90/10.57 | | (242) real_$sum(real_241/20, all_133_0) = real_0
% 74.90/10.57 | |
% 74.90/10.57 | | REDUCE: (181), (212) imply:
% 74.90/10.57 | | (243) real_$sum(real_321/20, all_73_0) = real_241/20
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_23_0, real_0, real_0, real_0,
% 74.90/10.57 | | all_111_0, simplifying with (10), (168) gives:
% 74.90/10.57 | | (244) ? [v0: $real] : (real_$sum(real_0, v0) = all_111_0 &
% 74.90/10.57 | | real_$sum(real_0, all_23_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_27_0, real_0, real_0, real_0,
% 74.90/10.57 | | all_105_0, simplifying with (10), (159) gives:
% 74.90/10.57 | | (245) ? [v0: $real] : (real_$sum(real_0, v0) = all_105_0 &
% 74.90/10.57 | | real_$sum(real_0, all_27_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_105_0, real_241/20, real_4,
% 74.90/10.57 | | real_321/20, real_0, simplifying with (18), (160) gives:
% 74.90/10.57 | | (246) ? [v0: $real] : (real_$sum(real_4, v0) = real_0 &
% 74.90/10.57 | | real_$sum(real_241/20, all_105_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_111_0, real_0, real_321/20,
% 74.90/10.57 | | real_321/20, real_241/20, simplifying with (14), (169) gives:
% 74.90/10.57 | | (247) ? [v0: $real] : (real_$sum(real_321/20, v0) = real_241/20 &
% 74.90/10.57 | | real_$sum(real_0, all_111_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_23_0, real_0, real_241/20,
% 74.90/10.57 | | real_241/20, all_93_0, simplifying with (15), (146) gives:
% 74.90/10.57 | | (248) ? [v0: $real] : (real_$sum(real_241/20, v0) = all_93_0 &
% 74.90/10.57 | | real_$sum(real_0, all_23_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_27_0, real_0, real_241/20,
% 74.90/10.57 | | real_241/20, all_131_0, simplifying with (15), (183) gives:
% 74.90/10.57 | | (249) ? [v0: $real] : (real_$sum(real_241/20, v0) = all_131_0 &
% 74.90/10.57 | | real_$sum(real_0, all_27_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (22) with all_27_0, real_241/20, all_131_0,
% 74.90/10.57 | | simplifying with (183) gives:
% 74.90/10.57 | | (250) real_$sum(all_27_0, real_241/20) = all_131_0
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_23_0, real_0, real_4, real_4,
% 74.90/10.57 | | all_83_0, simplifying with (17), (142) gives:
% 74.90/10.57 | | (251) ? [v0: $real] : (real_$sum(real_4, v0) = all_83_0 &
% 74.90/10.57 | | real_$sum(real_0, all_23_0) = v0)
% 74.90/10.57 | |
% 74.90/10.57 | | GROUND_INST: instantiating (26) with all_27_0, real_0, real_4, real_4,
% 74.90/10.57 | | all_109_0, simplifying with (17), (166) gives:
% 74.95/10.57 | | (252) ? [v0: $real] : (real_$sum(real_4, v0) = all_109_0 &
% 74.95/10.57 | | real_$sum(real_0, all_27_0) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with real_0, all_23_0, real_0, all_23_0,
% 74.95/10.57 | | all_111_0, simplifying with (168), (241) gives:
% 74.95/10.57 | | (253) ? [v0: $real] : (real_$sum(v0, real_0) = all_111_0 &
% 74.95/10.57 | | real_$sum(real_0, all_23_0) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (22) with real_0, all_23_0, all_23_0, simplifying
% 74.95/10.57 | | with (241) gives:
% 74.95/10.57 | | (254) real_$sum(real_0, all_23_0) = all_23_0
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with real_321/20, all_23_0, real_0,
% 74.95/10.57 | | real_241/20, real_241/20, simplifying with (12), (67) gives:
% 74.95/10.57 | | (255) ? [v0: $real] : (real_$sum(v0, real_321/20) = real_241/20 &
% 74.95/10.57 | | real_$sum(real_0, all_23_0) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_25_0, real_241/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (59), (240) gives:
% 74.95/10.57 | | (256) ? [v0: $real] : (real_$sum(v0, all_25_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_27_0, real_321/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (47), (240) gives:
% 74.95/10.57 | | (257) ? [v0: $real] : (real_$sum(v0, all_27_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_133_0, real_241/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (240), (242) gives:
% 74.95/10.57 | | (258) ? [v0: $real] : (real_$sum(v0, all_133_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_109_0, real_241/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (165), (240) gives:
% 74.95/10.57 | | (259) ? [v0: $real] : (real_$sum(v0, all_109_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_105_0, real_321/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (160), (240) gives:
% 74.95/10.57 | | (260) ? [v0: $real] : (real_$sum(v0, all_105_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_61_0, real_321/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (119), (240) gives:
% 74.95/10.57 | | (261) ? [v0: $real] : (real_$sum(v0, all_61_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with all_57_0, real_321/20, all_27_0,
% 74.95/10.57 | | real_0, all_27_0, simplifying with (114), (240) gives:
% 74.95/10.57 | | (262) ? [v0: $real] : (real_$sum(v0, all_57_0) = all_27_0 &
% 74.95/10.57 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with real_0, all_27_0, real_0, all_27_0,
% 74.95/10.57 | | all_105_0, simplifying with (159), (240) gives:
% 74.95/10.57 | | (263) ? [v0: $real] : (real_$sum(v0, real_0) = all_105_0 &
% 74.95/10.57 | | real_$sum(real_0, all_27_0) = v0)
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (22) with real_0, all_27_0, all_27_0, simplifying
% 74.95/10.57 | | with (240) gives:
% 74.95/10.57 | | (264) real_$sum(real_0, all_27_0) = all_27_0
% 74.95/10.57 | |
% 74.95/10.57 | | GROUND_INST: instantiating (25) with real_4, real_241/20, all_27_0,
% 74.95/10.57 | | real_321/20, real_0, simplifying with (16), (84) gives:
% 74.95/10.58 | | (265) ? [v0: $real] : (real_$sum(v0, real_4) = real_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with real_321/20, all_27_0, real_0, real_0,
% 74.95/10.58 | | real_0, simplifying with (10), (84) gives:
% 74.95/10.58 | | (266) ? [v0: $real] : (real_$sum(v0, real_321/20) = real_0 &
% 74.95/10.58 | | real_$sum(real_0, all_27_0) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with real_0, real_241/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (15), (200) gives:
% 74.95/10.58 | | (267) ? [v0: $real] : (real_$sum(v0, real_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_23_0, real_321/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (41), (200) gives:
% 74.95/10.58 | | (268) ? [v0: $real] : (real_$sum(v0, all_23_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_83_0, real_241/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (141), (200) gives:
% 74.95/10.58 | | (269) ? [v0: $real] : (real_$sum(v0, all_83_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_145_0, real_321/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (199), (200) gives:
% 74.95/10.58 | | (270) ? [v0: $real] : (real_$sum(v0, all_145_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_111_0, real_321/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (169), (200) gives:
% 74.95/10.58 | | (271) ? [v0: $real] : (real_$sum(v0, all_111_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_73_0, real_321/20, all_27_0,
% 74.95/10.58 | | real_241/20, all_145_0, simplifying with (200), (243) gives:
% 74.95/10.58 | | (272) ? [v0: $real] : (real_$sum(v0, all_73_0) = all_145_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (22) with real_241/20, all_27_0, all_145_0,
% 74.95/10.58 | | simplifying with (200) gives:
% 74.95/10.58 | | (273) real_$sum(real_241/20, all_27_0) = all_145_0
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_135_0, real_241/20, all_27_0,
% 74.95/10.58 | | real_4, all_103_0, simplifying with (157), (188) gives:
% 74.95/10.58 | | (274) ? [v0: $real] : (real_$sum(v0, all_135_0) = all_103_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_99_0, real_241/20, all_27_0,
% 74.95/10.58 | | real_4, all_103_0, simplifying with (153), (157) gives:
% 74.95/10.58 | | (275) ? [v0: $real] : (real_$sum(v0, all_99_0) = all_103_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_133_0, real_321/20, all_27_0,
% 74.95/10.58 | | real_4, all_103_0, simplifying with (157), (186) gives:
% 74.95/10.58 | | (276) ? [v0: $real] : (real_$sum(v0, all_133_0) = all_103_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_27_0, real_321/20, all_31_0,
% 74.95/10.58 | | real_0, all_31_0, simplifying with (47), (239) gives:
% 74.95/10.58 | | (277) ? [v0: $real] : (real_$sum(v0, all_27_0) = all_31_0 &
% 74.95/10.58 | | real_$sum(all_31_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_95_0, real_321/20, all_31_0,
% 74.95/10.58 | | real_0, all_31_0, simplifying with (148), (239) gives:
% 74.95/10.58 | | (278) ? [v0: $real] : (real_$sum(v0, all_95_0) = all_31_0 &
% 74.95/10.58 | | real_$sum(all_31_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_57_0, real_321/20, all_31_0,
% 74.95/10.58 | | real_0, all_31_0, simplifying with (114), (239) gives:
% 74.95/10.58 | | (279) ? [v0: $real] : (real_$sum(v0, all_57_0) = all_31_0 &
% 74.95/10.58 | | real_$sum(all_31_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (25) with all_111_0, real_321/20, all_31_0,
% 74.95/10.58 | | real_241/20, all_79_0, simplifying with (139), (169) gives:
% 74.95/10.58 | | (280) ? [v0: $real] : (real_$sum(v0, all_111_0) = all_79_0 &
% 74.95/10.58 | | real_$sum(all_31_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_321/20, all_31_0, all_75_0,
% 74.95/10.58 | | real_321/20, all_107_0, simplifying with (134), (162) gives:
% 74.95/10.58 | | (281) ? [v0: $real] : (real_$sum(all_75_0, v0) = all_107_0 &
% 74.95/10.58 | | real_$sum(all_31_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_241/20, all_27_0, all_91_0,
% 74.95/10.58 | | real_4, real_321/20, simplifying with (18), (238) gives:
% 74.95/10.58 | | (282) ? [v0: $real] : (real_$sum(all_91_0, v0) = real_321/20 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_321/20, all_27_0, all_91_0,
% 74.95/10.58 | | real_4, all_91_0, simplifying with (144), (238) gives:
% 74.95/10.58 | | (283) ? [v0: $real] : (real_$sum(all_91_0, v0) = all_91_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_241/20, all_27_0, all_107_0,
% 74.95/10.58 | | real_321/20, all_101_0, simplifying with (155), (163) gives:
% 74.95/10.58 | | (284) ? [v0: $real] : (real_$sum(all_107_0, v0) = all_101_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_241/20, all_27_0, all_127_0,
% 74.95/10.58 | | real_241/20, all_137_0, simplifying with (178), (190) gives:
% 74.95/10.58 | | (285) ? [v0: $real] : (real_$sum(all_127_0, v0) = all_137_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_241/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | GROUND_INST: instantiating (26) with real_321/20, all_27_0, all_127_0,
% 74.95/10.58 | | real_241/20, all_127_0, simplifying with (177), (178) gives:
% 74.95/10.58 | | (286) ? [v0: $real] : (real_$sum(all_127_0, v0) = all_127_0 &
% 74.95/10.58 | | real_$sum(all_27_0, real_321/20) = v0)
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (268) with fresh symbol all_256_0 gives:
% 74.95/10.58 | | (287) real_$sum(all_256_0, all_23_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_321/20) = all_256_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (287) implies:
% 74.95/10.58 | | (288) real_$sum(all_27_0, real_321/20) = all_256_0
% 74.95/10.58 | | (289) real_$sum(all_256_0, all_23_0) = all_145_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (276) with fresh symbol all_296_0 gives:
% 74.95/10.58 | | (290) real_$sum(all_296_0, all_133_0) = all_103_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_321/20) = all_296_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (290) implies:
% 74.95/10.58 | | (291) real_$sum(all_27_0, real_321/20) = all_296_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (275) with fresh symbol all_298_0 gives:
% 74.95/10.58 | | (292) real_$sum(all_298_0, all_99_0) = all_103_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_241/20) = all_298_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (292) implies:
% 74.95/10.58 | | (293) real_$sum(all_27_0, real_241/20) = all_298_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (272) with fresh symbol all_304_0 gives:
% 74.95/10.58 | | (294) real_$sum(all_304_0, all_73_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_321/20) = all_304_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (294) implies:
% 74.95/10.58 | | (295) real_$sum(all_27_0, real_321/20) = all_304_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (271) with fresh symbol all_306_0 gives:
% 74.95/10.58 | | (296) real_$sum(all_306_0, all_111_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_321/20) = all_306_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (296) implies:
% 74.95/10.58 | | (297) real_$sum(all_27_0, real_321/20) = all_306_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (270) with fresh symbol all_308_0 gives:
% 74.95/10.58 | | (298) real_$sum(all_308_0, all_145_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_321/20) = all_308_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (298) implies:
% 74.95/10.58 | | (299) real_$sum(all_27_0, real_321/20) = all_308_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (269) with fresh symbol all_318_0 gives:
% 74.95/10.58 | | (300) real_$sum(all_318_0, all_83_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.58 | | real_241/20) = all_318_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (300) implies:
% 74.95/10.58 | | (301) real_$sum(all_27_0, real_241/20) = all_318_0
% 74.95/10.58 | |
% 74.95/10.58 | | DELTA: instantiating (263) with fresh symbol all_340_0 gives:
% 74.95/10.58 | | (302) real_$sum(all_340_0, real_0) = all_105_0 & real_$sum(real_0,
% 74.95/10.58 | | all_27_0) = all_340_0
% 74.95/10.58 | |
% 74.95/10.58 | | ALPHA: (302) implies:
% 74.95/10.58 | | (303) real_$sum(real_0, all_27_0) = all_340_0
% 74.95/10.58 | |
% 74.95/10.59 | | DELTA: instantiating (262) with fresh symbol all_342_0 gives:
% 74.95/10.59 | | (304) real_$sum(all_342_0, all_57_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_342_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (304) implies:
% 74.95/10.59 | | (305) real_$sum(all_27_0, real_321/20) = all_342_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (274) with fresh symbol all_352_0 gives:
% 74.95/10.59 | | (306) real_$sum(all_352_0, all_135_0) = all_103_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_352_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (306) implies:
% 74.95/10.59 | | (307) real_$sum(all_27_0, real_241/20) = all_352_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (260) with fresh symbol all_364_0 gives:
% 74.95/10.59 | | (308) real_$sum(all_364_0, all_105_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_364_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (308) implies:
% 74.95/10.59 | | (309) real_$sum(all_27_0, real_321/20) = all_364_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (259) with fresh symbol all_366_0 gives:
% 74.95/10.59 | | (310) real_$sum(all_366_0, all_109_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_366_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (310) implies:
% 74.95/10.59 | | (311) real_$sum(all_27_0, real_241/20) = all_366_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (286) with fresh symbol all_484_0 gives:
% 74.95/10.59 | | (312) real_$sum(all_127_0, all_484_0) = all_127_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_484_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (312) implies:
% 74.95/10.59 | | (313) real_$sum(all_27_0, real_321/20) = all_484_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (285) with fresh symbol all_490_0 gives:
% 74.95/10.59 | | (314) real_$sum(all_127_0, all_490_0) = all_137_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_490_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (314) implies:
% 74.95/10.59 | | (315) real_$sum(all_27_0, real_241/20) = all_490_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (267) with fresh symbol all_504_0 gives:
% 74.95/10.59 | | (316) real_$sum(all_504_0, real_0) = all_145_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_504_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (316) implies:
% 74.95/10.59 | | (317) real_$sum(all_27_0, real_241/20) = all_504_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (283) with fresh symbol all_506_0 gives:
% 74.95/10.59 | | (318) real_$sum(all_91_0, all_506_0) = all_91_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_506_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (318) implies:
% 74.95/10.59 | | (319) real_$sum(all_27_0, real_321/20) = all_506_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (261) with fresh symbol all_514_0 gives:
% 74.95/10.59 | | (320) real_$sum(all_514_0, all_61_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_514_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (320) implies:
% 74.95/10.59 | | (321) real_$sum(all_27_0, real_321/20) = all_514_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (266) with fresh symbol all_518_0 gives:
% 74.95/10.59 | | (322) real_$sum(all_518_0, real_321/20) = real_0 & real_$sum(real_0,
% 74.95/10.59 | | all_27_0) = all_518_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (322) implies:
% 74.95/10.59 | | (323) real_$sum(real_0, all_27_0) = all_518_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (258) with fresh symbol all_546_0 gives:
% 74.95/10.59 | | (324) real_$sum(all_546_0, all_133_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_546_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (324) implies:
% 74.95/10.59 | | (325) real_$sum(all_27_0, real_241/20) = all_546_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (280) with fresh symbol all_610_0 gives:
% 74.95/10.59 | | (326) real_$sum(all_610_0, all_111_0) = all_79_0 & real_$sum(all_31_0,
% 74.95/10.59 | | real_321/20) = all_610_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (326) implies:
% 74.95/10.59 | | (327) real_$sum(all_31_0, real_321/20) = all_610_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (257) with fresh symbol all_698_0 gives:
% 74.95/10.59 | | (328) real_$sum(all_698_0, all_27_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_321/20) = all_698_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (328) implies:
% 74.95/10.59 | | (329) real_$sum(all_27_0, real_321/20) = all_698_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (256) with fresh symbol all_700_0 gives:
% 74.95/10.59 | | (330) real_$sum(all_700_0, all_25_0) = all_27_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_700_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (330) implies:
% 74.95/10.59 | | (331) real_$sum(all_27_0, real_241/20) = all_700_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (265) with fresh symbol all_706_0 gives:
% 74.95/10.59 | | (332) real_$sum(all_706_0, real_4) = real_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_706_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (332) implies:
% 74.95/10.59 | | (333) real_$sum(all_27_0, real_241/20) = all_706_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (279) with fresh symbol all_758_0 gives:
% 74.95/10.59 | | (334) real_$sum(all_758_0, all_57_0) = all_31_0 & real_$sum(all_31_0,
% 74.95/10.59 | | real_321/20) = all_758_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (334) implies:
% 74.95/10.59 | | (335) real_$sum(all_31_0, real_321/20) = all_758_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (277) with fresh symbol all_782_0 gives:
% 74.95/10.59 | | (336) real_$sum(all_782_0, all_27_0) = all_31_0 & real_$sum(all_31_0,
% 74.95/10.59 | | real_321/20) = all_782_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (336) implies:
% 74.95/10.59 | | (337) real_$sum(all_31_0, real_321/20) = all_782_0
% 74.95/10.59 | | (338) real_$sum(all_782_0, all_27_0) = all_31_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (278) with fresh symbol all_934_0 gives:
% 74.95/10.59 | | (339) real_$sum(all_934_0, all_95_0) = all_31_0 & real_$sum(all_31_0,
% 74.95/10.59 | | real_321/20) = all_934_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (339) implies:
% 74.95/10.59 | | (340) real_$sum(all_31_0, real_321/20) = all_934_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (247) with fresh symbol all_948_0 gives:
% 74.95/10.59 | | (341) real_$sum(real_321/20, all_948_0) = real_241/20 & real_$sum(real_0,
% 74.95/10.59 | | all_111_0) = all_948_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (341) implies:
% 74.95/10.59 | | (342) real_$sum(real_0, all_111_0) = all_948_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (246) with fresh symbol all_960_0 gives:
% 74.95/10.59 | | (343) real_$sum(real_4, all_960_0) = real_0 & real_$sum(real_241/20,
% 74.95/10.59 | | all_105_0) = all_960_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (343) implies:
% 74.95/10.59 | | (344) real_$sum(real_241/20, all_105_0) = all_960_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (251) with fresh symbol all_1056_0 gives:
% 74.95/10.59 | | (345) real_$sum(real_4, all_1056_0) = all_83_0 & real_$sum(real_0,
% 74.95/10.59 | | all_23_0) = all_1056_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (345) implies:
% 74.95/10.59 | | (346) real_$sum(real_0, all_23_0) = all_1056_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (252) with fresh symbol all_1060_0 gives:
% 74.95/10.59 | | (347) real_$sum(real_4, all_1060_0) = all_109_0 & real_$sum(real_0,
% 74.95/10.59 | | all_27_0) = all_1060_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (347) implies:
% 74.95/10.59 | | (348) real_$sum(real_0, all_27_0) = all_1060_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (281) with fresh symbol all_1108_0 gives:
% 74.95/10.59 | | (349) real_$sum(all_75_0, all_1108_0) = all_107_0 & real_$sum(all_31_0,
% 74.95/10.59 | | real_321/20) = all_1108_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (349) implies:
% 74.95/10.59 | | (350) real_$sum(all_31_0, real_321/20) = all_1108_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (284) with fresh symbol all_1130_0 gives:
% 74.95/10.59 | | (351) real_$sum(all_107_0, all_1130_0) = all_101_0 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_1130_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (351) implies:
% 74.95/10.59 | | (352) real_$sum(all_27_0, real_241/20) = all_1130_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (253) with fresh symbol all_1316_0 gives:
% 74.95/10.59 | | (353) real_$sum(all_1316_0, real_0) = all_111_0 & real_$sum(real_0,
% 74.95/10.59 | | all_23_0) = all_1316_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (353) implies:
% 74.95/10.59 | | (354) real_$sum(real_0, all_23_0) = all_1316_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (255) with fresh symbol all_1418_0 gives:
% 74.95/10.59 | | (355) real_$sum(all_1418_0, real_321/20) = real_241/20 &
% 74.95/10.59 | | real_$sum(real_0, all_23_0) = all_1418_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (355) implies:
% 74.95/10.59 | | (356) real_$sum(real_0, all_23_0) = all_1418_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (249) with fresh symbol all_1462_0 gives:
% 74.95/10.59 | | (357) real_$sum(real_241/20, all_1462_0) = all_131_0 & real_$sum(real_0,
% 74.95/10.59 | | all_27_0) = all_1462_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (357) implies:
% 74.95/10.59 | | (358) real_$sum(real_0, all_27_0) = all_1462_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (244) with fresh symbol all_1508_0 gives:
% 74.95/10.59 | | (359) real_$sum(real_0, all_1508_0) = all_111_0 & real_$sum(real_0,
% 74.95/10.59 | | all_23_0) = all_1508_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (359) implies:
% 74.95/10.59 | | (360) real_$sum(real_0, all_23_0) = all_1508_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (248) with fresh symbol all_1532_0 gives:
% 74.95/10.59 | | (361) real_$sum(real_241/20, all_1532_0) = all_93_0 & real_$sum(real_0,
% 74.95/10.59 | | all_23_0) = all_1532_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (361) implies:
% 74.95/10.59 | | (362) real_$sum(real_0, all_23_0) = all_1532_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (245) with fresh symbol all_1560_0 gives:
% 74.95/10.59 | | (363) real_$sum(real_0, all_1560_0) = all_105_0 & real_$sum(real_0,
% 74.95/10.59 | | all_27_0) = all_1560_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (363) implies:
% 74.95/10.59 | | (364) real_$sum(real_0, all_27_0) = all_1560_0
% 74.95/10.59 | |
% 74.95/10.59 | | DELTA: instantiating (282) with fresh symbol all_1914_0 gives:
% 74.95/10.59 | | (365) real_$sum(all_91_0, all_1914_0) = real_321/20 & real_$sum(all_27_0,
% 74.95/10.59 | | real_241/20) = all_1914_0
% 74.95/10.59 | |
% 74.95/10.59 | | ALPHA: (365) implies:
% 74.95/10.59 | | (366) real_$sum(all_27_0, real_241/20) = all_1914_0
% 74.95/10.59 | |
% 74.95/10.59 | | GROUND_INST: instantiating (2) with all_111_0, all_1418_0, all_23_0, real_0,
% 74.95/10.59 | | simplifying with (168), (356) gives:
% 74.95/10.59 | | (367) all_1418_0 = all_111_0
% 74.95/10.59 | |
% 74.95/10.59 | | GROUND_INST: instantiating (2) with all_1056_0, all_1418_0, all_23_0,
% 74.95/10.59 | | real_0, simplifying with (346), (356) gives:
% 74.95/10.59 | | (368) all_1418_0 = all_1056_0
% 74.95/10.59 | |
% 74.95/10.59 | | GROUND_INST: instantiating (2) with all_23_0, all_1508_0, all_23_0, real_0,
% 74.95/10.59 | | simplifying with (254), (360) gives:
% 74.95/10.60 | | (369) all_1508_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_1508_0, all_1532_0, all_23_0,
% 74.95/10.60 | | real_0, simplifying with (360), (362) gives:
% 74.95/10.60 | | (370) all_1532_0 = all_1508_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_1316_0, all_1532_0, all_23_0,
% 74.95/10.60 | | real_0, simplifying with (354), (362) gives:
% 74.95/10.60 | | (371) all_1532_0 = all_1316_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_1056_0, all_1532_0, all_23_0,
% 74.95/10.60 | | real_0, simplifying with (346), (362) gives:
% 74.95/10.60 | | (372) all_1532_0 = all_1056_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_105_0, all_518_0, all_27_0, real_0,
% 74.95/10.60 | | simplifying with (159), (323) gives:
% 74.95/10.60 | | (373) all_518_0 = all_105_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_518_0, all_1060_0, all_27_0, real_0,
% 74.95/10.60 | | simplifying with (323), (348) gives:
% 74.95/10.60 | | (374) all_1060_0 = all_518_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_27_0, all_1060_0, all_27_0, real_0,
% 74.95/10.60 | | simplifying with (264), (348) gives:
% 74.95/10.60 | | (375) all_1060_0 = all_27_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_1060_0, all_1462_0, all_27_0,
% 74.95/10.60 | | real_0, simplifying with (348), (358) gives:
% 74.95/10.60 | | (376) all_1462_0 = all_1060_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_1462_0, all_1560_0, all_27_0,
% 74.95/10.60 | | real_0, simplifying with (358), (364) gives:
% 74.95/10.60 | | (377) all_1560_0 = all_1462_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_340_0, all_1560_0, all_27_0, real_0,
% 74.95/10.60 | | simplifying with (303), (364) gives:
% 74.95/10.60 | | (378) all_1560_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_306_0, all_308_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (297), (299) gives:
% 74.95/10.60 | | (379) all_308_0 = all_306_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_304_0, all_308_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (295), (299) gives:
% 74.95/10.60 | | (380) all_308_0 = all_304_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_296_0, all_308_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (291), (299) gives:
% 74.95/10.60 | | (381) all_308_0 = all_296_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_306_0, all_364_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (297), (309) gives:
% 74.95/10.60 | | (382) all_364_0 = all_306_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with real_0, all_484_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (84), (313) gives:
% 74.95/10.60 | | (383) all_484_0 = real_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_364_0, all_484_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (309), (313) gives:
% 74.95/10.60 | | (384) all_484_0 = all_364_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_506_0, all_514_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (319), (321) gives:
% 74.95/10.60 | | (385) all_514_0 = all_506_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_256_0, all_514_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (288), (321) gives:
% 74.95/10.60 | | (386) all_514_0 = all_256_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_506_0, all_698_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (319), (329) gives:
% 74.95/10.60 | | (387) all_698_0 = all_506_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_342_0, all_698_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (305), (329) gives:
% 74.95/10.60 | | (388) all_698_0 = all_342_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_296_0, all_698_0, real_321/20,
% 74.95/10.60 | | all_27_0, simplifying with (291), (329) gives:
% 74.95/10.60 | | (389) all_698_0 = all_296_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_298_0, all_318_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (293), (301) gives:
% 74.95/10.60 | | (390) all_318_0 = all_298_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_318_0, all_366_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (301), (311) gives:
% 74.95/10.60 | | (391) all_366_0 = all_318_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_145_0, all_490_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (200), (315) gives:
% 74.95/10.60 | | (392) all_490_0 = all_145_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_318_0, all_490_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (301), (315) gives:
% 74.95/10.60 | | (393) all_490_0 = all_318_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_366_0, all_546_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (311), (325) gives:
% 74.95/10.60 | | (394) all_546_0 = all_366_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_546_0, all_700_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (325), (331) gives:
% 74.95/10.60 | | (395) all_700_0 = all_546_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_700_0, all_1130_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (331), (352) gives:
% 74.95/10.60 | | (396) all_1130_0 = all_700_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_131_0, all_1130_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (250), (352) gives:
% 74.95/10.60 | | (397) all_1130_0 = all_131_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_706_0, all_1914_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (333), (366) gives:
% 74.95/10.60 | | (398) all_1914_0 = all_706_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_504_0, all_1914_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (317), (366) gives:
% 74.95/10.60 | | (399) all_1914_0 = all_504_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_490_0, all_1914_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (315), (366) gives:
% 74.95/10.60 | | (400) all_1914_0 = all_490_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_352_0, all_1914_0, real_241/20,
% 74.95/10.60 | | all_27_0, simplifying with (307), (366) gives:
% 74.95/10.60 | | (401) all_1914_0 = all_352_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with real_241/20, all_758_0, real_321/20,
% 74.95/10.60 | | all_31_0, simplifying with (89), (335) gives:
% 74.95/10.60 | | (402) all_758_0 = real_241/20
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_758_0, all_782_0, real_321/20,
% 74.95/10.60 | | all_31_0, simplifying with (335), (337) gives:
% 74.95/10.60 | | (403) all_782_0 = all_758_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_934_0, all_1108_0, real_321/20,
% 74.95/10.60 | | all_31_0, simplifying with (340), (350) gives:
% 74.95/10.60 | | (404) all_1108_0 = all_934_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_782_0, all_1108_0, real_321/20,
% 74.95/10.60 | | all_31_0, simplifying with (337), (350) gives:
% 74.95/10.60 | | (405) all_1108_0 = all_782_0
% 74.95/10.60 | |
% 74.95/10.60 | | GROUND_INST: instantiating (2) with all_610_0, all_1108_0, real_321/20,
% 74.95/10.60 | | all_31_0, simplifying with (327), (350) gives:
% 74.95/10.60 | | (406) all_1108_0 = all_610_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (398), (400) imply:
% 74.95/10.60 | | (407) all_706_0 = all_490_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (398), (399) imply:
% 74.95/10.60 | | (408) all_706_0 = all_504_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (398), (401) imply:
% 74.95/10.60 | | (409) all_706_0 = all_352_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (377), (378) imply:
% 74.95/10.60 | | (410) all_1462_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (410) implies:
% 74.95/10.60 | | (411) all_1462_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (370), (371) imply:
% 74.95/10.60 | | (412) all_1508_0 = all_1316_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (412) implies:
% 74.95/10.60 | | (413) all_1508_0 = all_1316_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (371), (372) imply:
% 74.95/10.60 | | (414) all_1316_0 = all_1056_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (369), (413) imply:
% 74.95/10.60 | | (415) all_1316_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (415) implies:
% 74.95/10.60 | | (416) all_1316_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (376), (411) imply:
% 74.95/10.60 | | (417) all_1060_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (417) implies:
% 74.95/10.60 | | (418) all_1060_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (367), (368) imply:
% 74.95/10.60 | | (419) all_1056_0 = all_111_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (419) implies:
% 74.95/10.60 | | (420) all_1056_0 = all_111_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (414), (416) imply:
% 74.95/10.60 | | (421) all_1056_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (421) implies:
% 74.95/10.60 | | (422) all_1056_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (396), (397) imply:
% 74.95/10.60 | | (423) all_700_0 = all_131_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (423) implies:
% 74.95/10.60 | | (424) all_700_0 = all_131_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (404), (406) imply:
% 74.95/10.60 | | (425) all_934_0 = all_610_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (404), (405) imply:
% 74.95/10.60 | | (426) all_934_0 = all_782_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (375), (418) imply:
% 74.95/10.60 | | (427) all_340_0 = all_27_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (374), (418) imply:
% 74.95/10.60 | | (428) all_518_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (428) implies:
% 74.95/10.60 | | (429) all_518_0 = all_340_0
% 74.95/10.60 | |
% 74.95/10.60 | | COMBINE_EQS: (420), (422) imply:
% 74.95/10.60 | | (430) all_111_0 = all_23_0
% 74.95/10.60 | |
% 74.95/10.60 | | SIMP: (430) implies:
% 74.95/10.61 | | (431) all_111_0 = all_23_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (425), (426) imply:
% 74.95/10.61 | | (432) all_782_0 = all_610_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (432) implies:
% 74.95/10.61 | | (433) all_782_0 = all_610_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (403), (433) imply:
% 74.95/10.61 | | (434) all_758_0 = all_610_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (434) implies:
% 74.95/10.61 | | (435) all_758_0 = all_610_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (402), (435) imply:
% 74.95/10.61 | | (436) all_610_0 = real_241/20
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (407), (408) imply:
% 74.95/10.61 | | (437) all_504_0 = all_490_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (408), (409) imply:
% 74.95/10.61 | | (438) all_504_0 = all_352_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (395), (424) imply:
% 74.95/10.61 | | (439) all_546_0 = all_131_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (439) implies:
% 74.95/10.61 | | (440) all_546_0 = all_131_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (388), (389) imply:
% 74.95/10.61 | | (441) all_342_0 = all_296_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (387), (388) imply:
% 74.95/10.61 | | (442) all_506_0 = all_342_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (442) implies:
% 74.95/10.61 | | (443) all_506_0 = all_342_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (394), (440) imply:
% 74.95/10.61 | | (444) all_366_0 = all_131_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (444) implies:
% 74.95/10.61 | | (445) all_366_0 = all_131_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (373), (429) imply:
% 74.95/10.61 | | (446) all_340_0 = all_105_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (446) implies:
% 74.95/10.61 | | (447) all_340_0 = all_105_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (385), (386) imply:
% 74.95/10.61 | | (448) all_506_0 = all_256_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (448) implies:
% 74.95/10.61 | | (449) all_506_0 = all_256_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (443), (449) imply:
% 74.95/10.61 | | (450) all_342_0 = all_256_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (450) implies:
% 74.95/10.61 | | (451) all_342_0 = all_256_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (437), (438) imply:
% 74.95/10.61 | | (452) all_490_0 = all_352_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (452) implies:
% 74.95/10.61 | | (453) all_490_0 = all_352_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (392), (453) imply:
% 74.95/10.61 | | (454) all_352_0 = all_145_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (393), (453) imply:
% 74.95/10.61 | | (455) all_352_0 = all_318_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (383), (384) imply:
% 74.95/10.61 | | (456) all_364_0 = real_0
% 74.95/10.61 | |
% 74.95/10.61 | | SIMP: (456) implies:
% 74.95/10.61 | | (457) all_364_0 = real_0
% 74.95/10.61 | |
% 74.95/10.61 | | COMBINE_EQS: (391), (445) imply:
% 74.95/10.61 | | (458) all_318_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (458) implies:
% 75.13/10.61 | | (459) all_318_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (382), (457) imply:
% 75.13/10.61 | | (460) all_306_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (460) implies:
% 75.13/10.61 | | (461) all_306_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (454), (455) imply:
% 75.13/10.61 | | (462) all_318_0 = all_145_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (462) implies:
% 75.13/10.61 | | (463) all_318_0 = all_145_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (441), (451) imply:
% 75.13/10.61 | | (464) all_296_0 = all_256_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (464) implies:
% 75.13/10.61 | | (465) all_296_0 = all_256_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (427), (447) imply:
% 75.13/10.61 | | (466) all_105_0 = all_27_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (390), (463) imply:
% 75.13/10.61 | | (467) all_298_0 = all_145_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (390), (459) imply:
% 75.13/10.61 | | (468) all_298_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (379), (380) imply:
% 75.13/10.61 | | (469) all_306_0 = all_304_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (469) implies:
% 75.13/10.61 | | (470) all_306_0 = all_304_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (380), (381) imply:
% 75.13/10.61 | | (471) all_304_0 = all_296_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (461), (470) imply:
% 75.13/10.61 | | (472) all_304_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (472) implies:
% 75.13/10.61 | | (473) all_304_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (471), (473) imply:
% 75.13/10.61 | | (474) all_296_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (474) implies:
% 75.13/10.61 | | (475) all_296_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (467), (468) imply:
% 75.13/10.61 | | (476) all_145_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (476) implies:
% 75.13/10.61 | | (477) all_145_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (465), (475) imply:
% 75.13/10.61 | | (478) all_256_0 = real_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (433), (436) imply:
% 75.13/10.61 | | (479) all_782_0 = real_241/20
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (338), (479) imply:
% 75.13/10.61 | | (480) real_$sum(real_241/20, all_27_0) = all_31_0
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (289), (477), (478) imply:
% 75.13/10.61 | | (481) real_$sum(real_0, all_23_0) = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (344), (466) imply:
% 75.13/10.61 | | (482) real_$sum(real_241/20, all_27_0) = all_960_0
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (342), (431) imply:
% 75.13/10.61 | | (483) real_$sum(real_0, all_23_0) = all_948_0
% 75.13/10.61 | |
% 75.13/10.61 | | GROUND_INST: instantiating (2) with all_23_0, all_948_0, all_23_0, real_0,
% 75.13/10.61 | | simplifying with (254), (483) gives:
% 75.13/10.61 | | (484) all_948_0 = all_23_0
% 75.13/10.61 | |
% 75.13/10.61 | | GROUND_INST: instantiating (2) with all_131_0, all_948_0, all_23_0, real_0,
% 75.13/10.61 | | simplifying with (481), (483) gives:
% 75.13/10.61 | | (485) all_948_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | GROUND_INST: instantiating (2) with all_131_0, all_960_0, all_27_0,
% 75.13/10.61 | | real_241/20, simplifying with (183), (482) gives:
% 75.13/10.61 | | (486) all_960_0 = all_131_0
% 75.13/10.61 | |
% 75.13/10.61 | | GROUND_INST: instantiating (2) with all_31_0, all_960_0, all_27_0,
% 75.13/10.61 | | real_241/20, simplifying with (480), (482) gives:
% 75.13/10.61 | | (487) all_960_0 = all_31_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (486), (487) imply:
% 75.13/10.61 | | (488) all_131_0 = all_31_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (484), (485) imply:
% 75.13/10.61 | | (489) all_131_0 = all_23_0
% 75.13/10.61 | |
% 75.13/10.61 | | COMBINE_EQS: (488), (489) imply:
% 75.13/10.61 | | (490) all_31_0 = all_23_0
% 75.13/10.61 | |
% 75.13/10.61 | | SIMP: (490) implies:
% 75.13/10.61 | | (491) all_31_0 = all_23_0
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (108), (491) imply:
% 75.13/10.61 | | (492) real_$uminus(all_23_0) = real_4
% 75.13/10.61 | |
% 75.13/10.61 | | GROUND_INST: instantiating (1) with all_5_0, real_4, all_23_0, simplifying
% 75.13/10.61 | | with (109), (492) gives:
% 75.13/10.61 | | (493) all_5_0 = real_4
% 75.13/10.61 | |
% 75.13/10.61 | | REDUCE: (28), (493) imply:
% 75.13/10.61 | | (494) $false
% 75.13/10.61 | |
% 75.13/10.61 | | CLOSE: (494) is inconsistent.
% 75.13/10.61 | |
% 75.13/10.62 | End of split
% 75.13/10.62 |
% 75.13/10.62 End of proof
% 75.13/10.62 % SZS output end Proof for theBenchmark
% 75.13/10.62
% 75.13/10.62 10001ms
%------------------------------------------------------------------------------