TSTP Solution File: ARI431_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI431_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 : n026.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 22.40s 4.00s
% Output : Proof 35.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ARI431_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 18:19:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.65 ________ _____
% 0.21/0.65 ___ __ \_________(_)________________________________
% 0.21/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.65
% 0.21/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.65 (2023-06-19)
% 0.21/0.65
% 0.21/0.65 (c) Philipp Rümmer, 2009-2023
% 0.21/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.65 Amanda Stjerna.
% 0.21/0.65 Free software under BSD-3-Clause.
% 0.21/0.65
% 0.21/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.65
% 0.21/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.67 Running up to 7 provers in parallel.
% 0.21/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.78/0.99 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.78/0.99 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 2.85/1.17 Prover 1: Preprocessing ...
% 2.85/1.17 Prover 4: Preprocessing ...
% 2.85/1.20 Prover 0: Preprocessing ...
% 2.85/1.20 Prover 6: Preprocessing ...
% 5.05/1.59 Prover 2: Preprocessing ...
% 5.62/1.60 Prover 5: Preprocessing ...
% 5.62/1.63 Prover 3: Preprocessing ...
% 9.05/2.14 Prover 6: Constructing countermodel ...
% 9.05/2.15 Prover 1: Constructing countermodel ...
% 9.05/2.23 Prover 4: Constructing countermodel ...
% 10.87/2.40 Prover 0: Proving ...
% 15.82/3.07 Prover 1: gave up
% 15.82/3.09 Prover 6: gave up
% 15.82/3.12 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 15.82/3.12 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 15.82/3.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 16.23/3.13 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 16.50/3.16 Prover 8: Preprocessing ...
% 17.01/3.25 Prover 7: Preprocessing ...
% 17.99/3.42 Prover 8: Warning: ignoring some quantifiers
% 18.39/3.43 Prover 8: Constructing countermodel ...
% 20.53/3.83 Prover 3: Constructing countermodel ...
% 21.54/3.89 Prover 2: Proving ...
% 22.40/3.99 Prover 0: proved (3310ms)
% 22.40/3.99
% 22.40/4.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.40/4.00
% 22.40/4.00 Prover 3: stopped
% 22.40/4.01 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.40/4.01 Prover 8: gave up
% 22.40/4.01 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 22.40/4.02 Prover 2: stopped
% 22.40/4.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 22.40/4.03 Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 22.40/4.03 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.40/4.03 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 22.40/4.03 Prover 13: Preprocessing ...
% 22.40/4.03 Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 22.40/4.03 Prover 16: Warning: Problem contains reals, using incomplete axiomatisation
% 23.27/4.09 Prover 10: Preprocessing ...
% 23.27/4.11 Prover 11: Preprocessing ...
% 23.27/4.13 Prover 13: Warning: ignoring some quantifiers
% 23.71/4.13 Prover 13: Constructing countermodel ...
% 23.71/4.15 Prover 16: Preprocessing ...
% 24.73/4.29 Prover 7: Warning: ignoring some quantifiers
% 24.73/4.31 Prover 7: Constructing countermodel ...
% 24.73/4.42 Prover 5: Proving ...
% 24.73/4.43 Prover 5: stopped
% 24.73/4.44 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 24.73/4.44 Prover 19: Warning: Problem contains reals, using incomplete axiomatisation
% 25.97/4.48 Prover 13: gave up
% 26.42/4.52 Prover 19: Preprocessing ...
% 26.42/4.57 Prover 4: Found proof (size 40)
% 26.88/4.57 Prover 4: proved (3875ms)
% 26.88/4.57 Prover 7: stopped
% 26.88/4.58 Prover 16: stopped
% 26.88/4.65 Prover 11: stopped
% 28.12/4.82 Prover 10: Warning: ignoring some quantifiers
% 28.12/4.83 Prover 10: Constructing countermodel ...
% 28.42/4.91 Prover 10: stopped
% 34.91/6.52 Prover 19: Warning: ignoring some quantifiers
% 34.91/6.54 Prover 19: Constructing countermodel ...
% 35.37/6.59 Prover 19: stopped
% 35.37/6.59
% 35.37/6.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.37/6.59
% 35.43/6.60 % SZS output start Proof for theBenchmark
% 35.43/6.61 Assumptions after simplification:
% 35.43/6.61 ---------------------------------
% 35.43/6.61
% 35.43/6.61 (real_difference_problem_7)
% 35.48/6.64 ? [v0: $real] : ( ~ (v0 = real_321/20) & real_$difference(v0, real_241/20) =
% 35.48/6.64 real_4)
% 35.48/6.64
% 35.48/6.64 (input)
% 35.48/6.69 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_321/20) &
% 35.48/6.69 ~ (real_very_large = real_4) & ~ (real_very_large = real_241/20) & ~
% 35.48/6.69 (real_very_large = real_0) & ~ (real_very_small = real_321/20) & ~
% 35.48/6.69 (real_very_small = real_4) & ~ (real_very_small = real_241/20) & ~
% 35.48/6.69 (real_very_small = real_0) & ~ (real_321/20 = real_4) & ~ (real_321/20 =
% 35.48/6.69 real_241/20) & ~ (real_321/20 = real_0) & ~ (real_4 = real_241/20) & ~
% 35.48/6.69 (real_4 = real_0) & ~ (real_241/20 = real_0) & real_$is_int(real_321/20) = 1
% 35.48/6.69 & real_$is_int(real_4) = 0 & real_$is_int(real_241/20) = 1 &
% 35.48/6.69 real_$is_int(real_0) = 0 & real_$is_rat(real_321/20) = 0 &
% 35.48/6.69 real_$is_rat(real_4) = 0 & real_$is_rat(real_241/20) = 0 &
% 35.48/6.69 real_$is_rat(real_0) = 0 & real_$floor(real_4) = real_4 & real_$floor(real_0)
% 35.48/6.69 = real_0 & real_$ceiling(real_4) = real_4 & real_$ceiling(real_0) = real_0 &
% 35.48/6.69 real_$truncate(real_4) = real_4 & real_$truncate(real_0) = real_0 &
% 35.48/6.69 real_$round(real_4) = real_4 & real_$round(real_0) = real_0 &
% 35.48/6.69 real_$to_int(real_321/20) = 16 & real_$to_int(real_4) = 4 &
% 35.48/6.70 real_$to_int(real_241/20) = 12 & real_$to_int(real_0) = 0 &
% 35.48/6.70 real_$to_rat(real_321/20) = rat_321/20 & real_$to_rat(real_4) = rat_4 &
% 35.48/6.70 real_$to_rat(real_241/20) = rat_241/20 & real_$to_rat(real_0) = rat_0 &
% 35.48/6.70 real_$to_real(real_321/20) = real_321/20 & real_$to_real(real_4) = real_4 &
% 35.48/6.70 real_$to_real(real_241/20) = real_241/20 & real_$to_real(real_0) = real_0 &
% 35.48/6.70 int_$to_real(4) = real_4 & int_$to_real(0) = real_0 & real_$quotient(real_0,
% 35.48/6.70 real_321/20) = real_0 & real_$quotient(real_0, real_4) = real_0 &
% 35.48/6.70 real_$quotient(real_0, real_241/20) = real_0 & real_$product(real_321/20,
% 35.48/6.70 real_0) = real_0 & real_$product(real_4, real_0) = real_0 &
% 35.48/6.70 real_$product(real_241/20, real_0) = real_0 & real_$product(real_0,
% 35.48/6.70 real_321/20) = real_0 & real_$product(real_0, real_4) = real_0 &
% 35.48/6.70 real_$product(real_0, real_241/20) = real_0 & real_$product(real_0, real_0) =
% 35.48/6.70 real_0 & real_$uminus(real_0) = real_0 & real_$sum(real_321/20, real_0) =
% 35.48/6.70 real_321/20 & real_$sum(real_4, real_241/20) = real_321/20 & real_$sum(real_4,
% 35.48/6.70 real_0) = real_4 & real_$sum(real_241/20, real_4) = real_321/20 &
% 35.48/6.70 real_$sum(real_241/20, real_0) = real_241/20 & real_$sum(real_0, real_321/20)
% 35.48/6.70 = real_321/20 & real_$sum(real_0, real_4) = real_4 & real_$sum(real_0,
% 35.48/6.70 real_241/20) = real_241/20 & real_$sum(real_0, real_0) = real_0 &
% 35.48/6.70 real_$greatereq(real_very_small, real_very_large) = 1 &
% 35.48/6.70 real_$greatereq(real_321/20, real_321/20) = 0 & real_$greatereq(real_321/20,
% 35.48/6.70 real_4) = 0 & real_$greatereq(real_321/20, real_241/20) = 0 &
% 35.48/6.70 real_$greatereq(real_321/20, real_0) = 0 & real_$greatereq(real_4,
% 35.48/6.70 real_321/20) = 1 & real_$greatereq(real_4, real_4) = 0 &
% 35.48/6.70 real_$greatereq(real_4, real_241/20) = 1 & real_$greatereq(real_4, real_0) = 0
% 35.48/6.70 & real_$greatereq(real_241/20, real_321/20) = 1 & real_$greatereq(real_241/20,
% 35.48/6.70 real_4) = 0 & real_$greatereq(real_241/20, real_241/20) = 0 &
% 35.48/6.70 real_$greatereq(real_241/20, real_0) = 0 & real_$greatereq(real_0,
% 35.48/6.70 real_321/20) = 1 & real_$greatereq(real_0, real_4) = 1 &
% 35.48/6.70 real_$greatereq(real_0, real_241/20) = 1 & real_$greatereq(real_0, real_0) = 0
% 35.48/6.70 & real_$lesseq(real_very_small, real_very_large) = 0 &
% 35.48/6.70 real_$lesseq(real_321/20, real_321/20) = 0 & real_$lesseq(real_321/20, real_4)
% 35.48/6.70 = 1 & real_$lesseq(real_321/20, real_241/20) = 1 & real_$lesseq(real_321/20,
% 35.48/6.70 real_0) = 1 & real_$lesseq(real_4, real_321/20) = 0 & real_$lesseq(real_4,
% 35.48/6.70 real_4) = 0 & real_$lesseq(real_4, real_241/20) = 0 & real_$lesseq(real_4,
% 35.48/6.70 real_0) = 1 & real_$lesseq(real_241/20, real_321/20) = 0 &
% 35.48/6.70 real_$lesseq(real_241/20, real_4) = 1 & real_$lesseq(real_241/20, real_241/20)
% 35.48/6.70 = 0 & real_$lesseq(real_241/20, real_0) = 1 & real_$lesseq(real_0,
% 35.48/6.70 real_321/20) = 0 & real_$lesseq(real_0, real_4) = 0 & real_$lesseq(real_0,
% 35.48/6.70 real_241/20) = 0 & real_$lesseq(real_0, real_0) = 0 &
% 35.48/6.70 real_$greater(real_very_large, real_321/20) = 0 &
% 35.48/6.70 real_$greater(real_very_large, real_4) = 0 & real_$greater(real_very_large,
% 35.48/6.70 real_241/20) = 0 & real_$greater(real_very_large, real_0) = 0 &
% 35.48/6.70 real_$greater(real_very_small, real_very_large) = 1 &
% 35.48/6.70 real_$greater(real_321/20, real_very_small) = 0 & real_$greater(real_321/20,
% 35.48/6.70 real_321/20) = 1 & real_$greater(real_321/20, real_4) = 0 &
% 35.48/6.70 real_$greater(real_321/20, real_241/20) = 0 & real_$greater(real_321/20,
% 35.48/6.70 real_0) = 0 & real_$greater(real_4, real_very_small) = 0 &
% 35.48/6.70 real_$greater(real_4, real_321/20) = 1 & real_$greater(real_4, real_4) = 1 &
% 35.48/6.70 real_$greater(real_4, real_241/20) = 1 & real_$greater(real_4, real_0) = 0 &
% 35.48/6.70 real_$greater(real_241/20, real_very_small) = 0 & real_$greater(real_241/20,
% 35.48/6.70 real_321/20) = 1 & real_$greater(real_241/20, real_4) = 0 &
% 35.48/6.70 real_$greater(real_241/20, real_241/20) = 1 & real_$greater(real_241/20,
% 35.48/6.70 real_0) = 0 & real_$greater(real_0, real_very_small) = 0 &
% 35.48/6.70 real_$greater(real_0, real_321/20) = 1 & real_$greater(real_0, real_4) = 1 &
% 35.48/6.70 real_$greater(real_0, real_241/20) = 1 & real_$greater(real_0, real_0) = 1 &
% 35.48/6.70 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small,
% 35.48/6.70 real_321/20) = 0 & real_$less(real_very_small, real_4) = 0 &
% 35.48/6.70 real_$less(real_very_small, real_241/20) = 0 & real_$less(real_very_small,
% 35.48/6.70 real_0) = 0 & real_$less(real_321/20, real_very_large) = 0 &
% 35.48/6.70 real_$less(real_321/20, real_321/20) = 1 & real_$less(real_321/20, real_4) = 1
% 35.48/6.70 & real_$less(real_321/20, real_241/20) = 1 & real_$less(real_321/20, real_0) =
% 35.48/6.70 1 & real_$less(real_4, real_very_large) = 0 & real_$less(real_4, real_321/20)
% 35.48/6.70 = 0 & real_$less(real_4, real_4) = 1 & real_$less(real_4, real_241/20) = 0 &
% 35.48/6.70 real_$less(real_4, real_0) = 1 & real_$less(real_241/20, real_very_large) = 0
% 35.48/6.70 & real_$less(real_241/20, real_321/20) = 0 & real_$less(real_241/20, real_4) =
% 35.48/6.70 1 & real_$less(real_241/20, real_241/20) = 1 & real_$less(real_241/20, real_0)
% 35.48/6.70 = 1 & real_$less(real_0, real_very_large) = 0 & real_$less(real_0,
% 35.48/6.70 real_321/20) = 0 & real_$less(real_0, real_4) = 0 & real_$less(real_0,
% 35.48/6.70 real_241/20) = 0 & real_$less(real_0, real_0) = 1 &
% 35.48/6.70 real_$difference(real_321/20, real_321/20) = real_0 &
% 35.48/6.70 real_$difference(real_321/20, real_4) = real_241/20 &
% 35.48/6.70 real_$difference(real_321/20, real_241/20) = real_4 &
% 35.48/6.70 real_$difference(real_321/20, real_0) = real_321/20 & real_$difference(real_4,
% 35.48/6.70 real_4) = real_0 & real_$difference(real_4, real_0) = real_4 &
% 35.48/6.70 real_$difference(real_241/20, real_241/20) = real_0 &
% 35.48/6.70 real_$difference(real_241/20, real_0) = real_241/20 & real_$difference(real_0,
% 35.48/6.70 real_0) = real_0 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : !
% 35.48/6.70 [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~
% 35.48/6.70 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 &
% 35.48/6.70 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.48/6.70 $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v2, v3) = v4) | ~
% 35.48/6.70 (real_$sum(v1, v0) = v3) | ? [v5: $real] : (real_$sum(v5, v0) = v4 &
% 35.48/6.70 real_$sum(v2, v1) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.48/6.70 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~
% 35.48/6.70 (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1,
% 35.48/6.70 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3:
% 35.48/6.70 int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v2, v0) =
% 35.48/6.70 v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) = v4)) & ! [v0:
% 35.48/6.70 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~
% 35.48/6.70 (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] :
% 35.48/6.71 ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real]
% 35.48/6.71 : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~
% 35.48/6.71 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1)
% 35.48/6.71 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] :
% 35.48/6.71 (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4:
% 35.48/6.71 int] : ( ~ (v4 = 0) & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : !
% 35.48/6.71 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v0)
% 35.48/6.71 = v3) | ~ (real_$less(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) &
% 35.48/6.71 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.48/6.71 $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1,
% 35.48/6.71 v2) = v3) | real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1:
% 35.48/6.71 $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (real_$less(v1, v0) = v2) |
% 35.48/6.71 ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] :
% 35.48/6.71 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) |
% 35.48/6.71 ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] :
% 35.48/6.71 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ?
% 35.48/6.71 [v3: int] : ( ~ (v3 = 0) & real_$greatereq(v0, v1) = v3)) & ! [v0: $real] :
% 35.48/6.71 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ?
% 35.48/6.71 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : !
% 35.48/6.71 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ?
% 35.48/6.71 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : !
% 35.48/6.71 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3:
% 35.48/6.71 int] : ( ~ (v3 = 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : !
% 35.48/6.71 [v1: $real] : ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2)
% 35.48/6.71 | real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.48/6.71 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & !
% 35.48/6.71 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) =
% 35.48/6.71 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : !
% 35.48/6.71 [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = v2) & ! [v0:
% 35.48/6.71 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, v1) = v2) |
% 35.97/6.71 real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] :
% 35.97/6.71 ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) |
% 35.97/6.71 real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 35.97/6.71 : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) |
% 35.97/6.71 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] :
% 35.97/6.71 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2,
% 35.97/6.71 v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~
% 35.97/6.71 (real_$difference(v1, v0) = v2) | ? [v3: $real] : (real_$uminus(v0) = v3 &
% 35.97/6.71 real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~
% 35.97/6.71 (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 |
% 35.97/6.71 ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] :
% 35.97/6.71 ! [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : !
% 35.97/6.71 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0:
% 35.97/6.71 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) =
% 35.97/6.71 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) =
% 35.97/6.71 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 35.97/6.71 (real_$lesseq(v1, v0) = 0) | real_$greatereq(v0, v1) = 0) & ! [v0: $real] :
% 35.97/6.71 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) &
% 35.97/6.71 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) |
% 35.97/6.71 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 35.97/6.71 (real_$less(v1, v0) = 0) | real_$greater(v0, v1) = 0) & ! [v0: $real] : !
% 35.97/6.71 [v1: MultipleValueBool] : ( ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0)
% 35.97/6.71 = 0) & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0))
% 35.97/6.71
% 35.97/6.71 (function-axioms)
% 35.97/6.72 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 |
% 35.97/6.72 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & !
% 35.97/6.72 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 35.97/6.72 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0:
% 35.97/6.72 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 35.97/6.72 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0:
% 35.97/6.72 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 35.97/6.72 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~
% 35.97/6.72 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 35.97/6.72 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 35.97/6.72 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0:
% 35.97/6.72 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 35.97/6.72 $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~ (real_$greater(v3,
% 35.97/6.72 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 35.97/6.72 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~
% 35.97/6.72 (real_$less(v3, v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.97/6.72 $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$difference(v3, v2) = v1) | ~
% 35.97/6.72 (real_$difference(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 35.97/6.72 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1)
% 35.97/6.72 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 35.97/6.72 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1)
% 35.97/6.72 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.97/6.72 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) &
% 35.97/6.72 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 35.97/6.72 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] :
% 35.97/6.72 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~
% 35.97/6.72 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 35.97/6.72 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) &
% 35.97/6.72 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2)
% 35.97/6.72 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 35.97/6.72 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) =
% 35.97/6.72 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 35.97/6.73 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] :
% 35.97/6.73 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~
% 35.97/6.73 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 35.97/6.73 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 35.97/6.73
% 35.97/6.73 Those formulas are unsatisfiable:
% 35.97/6.73 ---------------------------------
% 35.97/6.73
% 35.97/6.73 Begin of proof
% 35.97/6.73 |
% 35.97/6.73 | ALPHA: (function-axioms) implies:
% 35.97/6.73 | (1) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 35.97/6.73 | (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 35.97/6.73 | (2) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1
% 35.97/6.73 | = v0 | ~ (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0))
% 35.97/6.73 |
% 35.97/6.73 | ALPHA: (input) implies:
% 35.97/6.73 | (3) real_$difference(real_241/20, real_241/20) = real_0
% 35.97/6.73 | (4) real_$difference(real_321/20, real_241/20) = real_4
% 35.97/6.73 | (5) real_$sum(real_0, real_241/20) = real_241/20
% 35.97/6.74 | (6) real_$sum(real_4, real_241/20) = real_321/20
% 35.97/6.74 | (7) ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0)
% 35.97/6.74 | = v1))
% 35.97/6.74 | (8) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~
% 35.97/6.74 | (real_$difference(v1, v0) = v2) | ? [v3: $real] : (real_$uminus(v0)
% 35.97/6.74 | = v3 & real_$sum(v1, v3) = v2))
% 35.97/6.74 | (9) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v1,
% 35.97/6.74 | v0) = v2) | real_$sum(v0, v1) = v2)
% 35.97/6.74 | (10) ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : !
% 35.97/6.74 | [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) =
% 35.97/6.74 | v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0)
% 35.97/6.74 | = v5))
% 35.97/6.74 |
% 35.97/6.74 | DELTA: instantiating (real_difference_problem_7) with fresh symbol all_5_0
% 35.97/6.74 | gives:
% 35.97/6.74 | (11) ~ (all_5_0 = real_321/20) & real_$difference(all_5_0, real_241/20) =
% 35.97/6.74 | real_4
% 35.97/6.74 |
% 35.97/6.74 | ALPHA: (11) implies:
% 35.97/6.74 | (12) ~ (all_5_0 = real_321/20)
% 35.97/6.74 | (13) real_$difference(all_5_0, real_241/20) = real_4
% 35.97/6.74 |
% 35.97/6.74 | GROUND_INST: instantiating (8) with real_241/20, real_241/20, real_0,
% 35.97/6.74 | simplifying with (3) gives:
% 35.97/6.74 | (14) ? [v0: $real] : (real_$uminus(real_241/20) = v0 &
% 35.97/6.74 | real_$sum(real_241/20, v0) = real_0)
% 35.97/6.74 |
% 35.97/6.74 | GROUND_INST: instantiating (8) with real_241/20, real_321/20, real_4,
% 35.97/6.74 | simplifying with (4) gives:
% 35.97/6.74 | (15) ? [v0: $real] : (real_$uminus(real_241/20) = v0 &
% 35.97/6.74 | real_$sum(real_321/20, v0) = real_4)
% 35.97/6.74 |
% 35.97/6.74 | GROUND_INST: instantiating (8) with real_241/20, all_5_0, real_4, simplifying
% 35.97/6.74 | with (13) gives:
% 35.97/6.74 | (16) ? [v0: $real] : (real_$uminus(real_241/20) = v0 & real_$sum(all_5_0,
% 35.97/6.74 | v0) = real_4)
% 35.97/6.74 |
% 35.97/6.74 | DELTA: instantiating (16) with fresh symbol all_15_0 gives:
% 35.97/6.74 | (17) real_$uminus(real_241/20) = all_15_0 & real_$sum(all_5_0, all_15_0) =
% 35.97/6.74 | real_4
% 35.97/6.74 |
% 35.97/6.74 | ALPHA: (17) implies:
% 35.97/6.75 | (18) real_$sum(all_5_0, all_15_0) = real_4
% 35.97/6.75 | (19) real_$uminus(real_241/20) = all_15_0
% 35.97/6.75 |
% 35.97/6.75 | DELTA: instantiating (15) with fresh symbol all_37_0 gives:
% 35.97/6.75 | (20) real_$uminus(real_241/20) = all_37_0 & real_$sum(real_321/20,
% 35.97/6.75 | all_37_0) = real_4
% 35.97/6.75 |
% 35.97/6.75 | ALPHA: (20) implies:
% 35.97/6.75 | (21) real_$sum(real_321/20, all_37_0) = real_4
% 35.97/6.75 | (22) real_$uminus(real_241/20) = all_37_0
% 35.97/6.75 |
% 35.97/6.75 | DELTA: instantiating (14) with fresh symbol all_43_0 gives:
% 35.97/6.75 | (23) real_$uminus(real_241/20) = all_43_0 & real_$sum(real_241/20,
% 35.97/6.75 | all_43_0) = real_0
% 35.97/6.75 |
% 35.97/6.75 | ALPHA: (23) implies:
% 35.97/6.75 | (24) real_$sum(real_241/20, all_43_0) = real_0
% 35.97/6.75 | (25) real_$uminus(real_241/20) = all_43_0
% 35.97/6.75 |
% 35.97/6.75 | GROUND_INST: instantiating (1) with all_37_0, all_43_0, real_241/20,
% 35.97/6.75 | simplifying with (22), (25) gives:
% 35.97/6.75 | (26) all_43_0 = all_37_0
% 35.97/6.75 |
% 35.97/6.75 | GROUND_INST: instantiating (1) with all_15_0, all_43_0, real_241/20,
% 35.97/6.75 | simplifying with (19), (25) gives:
% 35.97/6.75 | (27) all_43_0 = all_15_0
% 35.97/6.75 |
% 35.97/6.75 | COMBINE_EQS: (26), (27) imply:
% 35.97/6.75 | (28) all_37_0 = all_15_0
% 35.97/6.75 |
% 35.97/6.75 | SIMP: (28) implies:
% 35.97/6.75 | (29) all_37_0 = all_15_0
% 35.97/6.75 |
% 35.97/6.75 | REDUCE: (21), (29) imply:
% 35.97/6.75 | (30) real_$sum(real_321/20, all_15_0) = real_4
% 35.97/6.75 |
% 35.97/6.75 | REDUCE: (24), (27) imply:
% 35.97/6.75 | (31) real_$sum(real_241/20, all_15_0) = real_0
% 35.97/6.75 |
% 35.97/6.75 | GROUND_INST: instantiating (10) with real_241/20, all_15_0, real_241/20,
% 35.97/6.75 | real_0, real_241/20, simplifying with (5), (31) gives:
% 35.97/6.75 | (32) ? [v0: $real] : (real_$sum(all_15_0, real_241/20) = v0 &
% 35.97/6.75 | real_$sum(real_241/20, v0) = real_241/20)
% 35.97/6.75 |
% 35.97/6.75 | GROUND_INST: instantiating (9) with all_15_0, real_241/20, real_0, simplifying
% 35.97/6.75 | with (31) gives:
% 35.97/6.75 | (33) real_$sum(all_15_0, real_241/20) = real_0
% 35.97/6.75 |
% 35.97/6.75 | GROUND_INST: instantiating (10) with real_241/20, all_15_0, real_321/20,
% 35.97/6.75 | real_4, real_321/20, simplifying with (6), (30) gives:
% 35.97/6.75 | (34) ? [v0: $real] : (real_$sum(all_15_0, real_241/20) = v0 &
% 35.97/6.75 | real_$sum(real_321/20, v0) = real_321/20)
% 35.97/6.75 |
% 35.97/6.76 | GROUND_INST: instantiating (10) with real_241/20, all_15_0, all_5_0, real_4,
% 35.97/6.76 | real_321/20, simplifying with (6), (18) gives:
% 35.97/6.76 | (35) ? [v0: $real] : (real_$sum(all_15_0, real_241/20) = v0 &
% 35.97/6.76 | real_$sum(all_5_0, v0) = real_321/20)
% 35.97/6.76 |
% 35.97/6.76 | DELTA: instantiating (35) with fresh symbol all_73_0 gives:
% 35.97/6.76 | (36) real_$sum(all_15_0, real_241/20) = all_73_0 & real_$sum(all_5_0,
% 35.97/6.76 | all_73_0) = real_321/20
% 35.97/6.76 |
% 35.97/6.76 | ALPHA: (36) implies:
% 35.97/6.76 | (37) real_$sum(all_5_0, all_73_0) = real_321/20
% 35.97/6.76 | (38) real_$sum(all_15_0, real_241/20) = all_73_0
% 35.97/6.76 |
% 35.97/6.76 | DELTA: instantiating (32) with fresh symbol all_83_0 gives:
% 35.97/6.76 | (39) real_$sum(all_15_0, real_241/20) = all_83_0 & real_$sum(real_241/20,
% 35.97/6.76 | all_83_0) = real_241/20
% 35.97/6.76 |
% 35.97/6.76 | ALPHA: (39) implies:
% 35.97/6.76 | (40) real_$sum(all_15_0, real_241/20) = all_83_0
% 35.97/6.76 |
% 35.97/6.76 | DELTA: instantiating (34) with fresh symbol all_147_0 gives:
% 35.97/6.76 | (41) real_$sum(all_15_0, real_241/20) = all_147_0 & real_$sum(real_321/20,
% 35.97/6.76 | all_147_0) = real_321/20
% 35.97/6.76 |
% 35.97/6.76 | ALPHA: (41) implies:
% 35.97/6.76 | (42) real_$sum(all_15_0, real_241/20) = all_147_0
% 35.97/6.76 |
% 35.97/6.76 | GROUND_INST: instantiating (2) with all_83_0, all_147_0, real_241/20,
% 35.97/6.76 | all_15_0, simplifying with (40), (42) gives:
% 35.97/6.76 | (43) all_147_0 = all_83_0
% 35.97/6.76 |
% 35.97/6.76 | GROUND_INST: instantiating (2) with all_73_0, all_147_0, real_241/20,
% 35.97/6.76 | all_15_0, simplifying with (38), (42) gives:
% 35.97/6.76 | (44) all_147_0 = all_73_0
% 35.97/6.76 |
% 35.97/6.76 | GROUND_INST: instantiating (2) with real_0, all_147_0, real_241/20, all_15_0,
% 35.97/6.76 | simplifying with (33), (42) gives:
% 35.97/6.76 | (45) all_147_0 = real_0
% 35.97/6.76 |
% 35.97/6.76 | COMBINE_EQS: (43), (44) imply:
% 35.97/6.76 | (46) all_83_0 = all_73_0
% 35.97/6.76 |
% 35.97/6.76 | COMBINE_EQS: (43), (45) imply:
% 35.97/6.76 | (47) all_83_0 = real_0
% 35.97/6.76 |
% 35.97/6.76 | COMBINE_EQS: (46), (47) imply:
% 35.97/6.76 | (48) all_73_0 = real_0
% 35.97/6.76 |
% 35.97/6.76 | REDUCE: (37), (48) imply:
% 35.97/6.76 | (49) real_$sum(all_5_0, real_0) = real_321/20
% 35.97/6.76 |
% 35.97/6.76 | GROUND_INST: instantiating (7) with all_5_0, real_321/20, simplifying with
% 35.97/6.76 | (49) gives:
% 35.97/6.76 | (50) all_5_0 = real_321/20
% 35.97/6.76 |
% 35.97/6.76 | REDUCE: (12), (50) imply:
% 35.97/6.76 | (51) $false
% 35.97/6.76 |
% 35.97/6.76 | CLOSE: (51) is inconsistent.
% 35.97/6.76 |
% 35.97/6.76 End of proof
% 35.97/6.76 % SZS output end Proof for theBenchmark
% 35.97/6.76
% 35.97/6.76 6109ms
%------------------------------------------------------------------------------