TSTP Solution File: ARI408_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI408_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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:47:56 EDT 2023
% Result : Theorem 6.83s 1.87s
% Output : Proof 20.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ARI408_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 17:59:16 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.67/0.74 ________ _____
% 0.67/0.74 ___ __ \_________(_)________________________________
% 0.67/0.74 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.67/0.74 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.67/0.74 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.67/0.74
% 0.67/0.74 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.67/0.74 (2023-06-19)
% 0.67/0.74
% 0.67/0.74 (c) Philipp Rümmer, 2009-2023
% 0.67/0.74 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.67/0.74 Amanda Stjerna.
% 0.67/0.74 Free software under BSD-3-Clause.
% 0.67/0.74
% 0.67/0.74 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.67/0.74
% 0.67/0.74 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.76 Running up to 7 provers in parallel.
% 0.67/0.77 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.67/0.77 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.67/0.77 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.67/0.77 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.67/0.77 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.67/0.77 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.67/0.77 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 1.59/1.07 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.59/1.07 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 2.05/1.17 Prover 4: Preprocessing ...
% 2.49/1.18 Prover 1: Preprocessing ...
% 2.49/1.26 Prover 0: Preprocessing ...
% 3.13/1.27 Prover 6: Preprocessing ...
% 6.10/1.71 Prover 5: Preprocessing ...
% 6.10/1.72 Prover 2: Preprocessing ...
% 6.10/1.75 Prover 3: Preprocessing ...
% 6.83/1.81 Prover 6: Constructing countermodel ...
% 6.83/1.84 Prover 0: Constructing countermodel ...
% 6.83/1.86 Prover 6: proved (1087ms)
% 6.83/1.86
% 6.83/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.83/1.87
% 6.83/1.87 Prover 0: proved (1094ms)
% 6.83/1.87
% 6.83/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.83/1.87
% 6.83/1.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.83/1.88 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 6.83/1.89 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.83/1.89 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 7.49/1.91 Prover 8: Preprocessing ...
% 7.49/2.05 Prover 4: Constructing countermodel ...
% 7.49/2.05 Prover 1: Constructing countermodel ...
% 9.12/2.16 Prover 7: Preprocessing ...
% 9.65/2.21 Prover 4: Found proof (size 3)
% 9.65/2.21 Prover 4: proved (1437ms)
% 9.65/2.22 Prover 1: Found proof (size 3)
% 9.65/2.22 Prover 1: proved (1449ms)
% 9.65/2.24 Prover 8: Warning: ignoring some quantifiers
% 9.65/2.25 Prover 8: Constructing countermodel ...
% 10.22/2.28 Prover 8: stopped
% 13.38/2.76 Prover 2: stopped
% 14.01/2.87 Prover 7: stopped
% 18.14/3.69 Prover 5: Constructing countermodel ...
% 18.14/3.69 Prover 5: stopped
% 19.76/4.12 Prover 3: Constructing countermodel ...
% 20.15/4.12 Prover 3: stopped
% 20.15/4.12
% 20.15/4.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.15/4.12
% 20.15/4.12 % SZS output start Proof for theBenchmark
% 20.15/4.13 Assumptions after simplification:
% 20.15/4.13 ---------------------------------
% 20.15/4.13
% 20.15/4.13 (real_sum_problem_8)
% 20.15/4.13 real_111/20 = real_11/2
% 20.15/4.13
% 20.15/4.13 (input)
% 20.46/4.23 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_111/20) &
% 20.46/4.23 ~ (real_very_large = real_11/2) & ~ (real_very_large = real_41/20) & ~
% 20.46/4.23 (real_very_large = real_7/2) & ~ (real_very_large = real_0) & ~
% 20.46/4.23 (real_very_small = real_111/20) & ~ (real_very_small = real_11/2) & ~
% 20.46/4.23 (real_very_small = real_41/20) & ~ (real_very_small = real_7/2) & ~
% 20.46/4.23 (real_very_small = real_0) & ~ (real_111/20 = real_11/2) & ~ (real_111/20 =
% 20.46/4.23 real_41/20) & ~ (real_111/20 = real_7/2) & ~ (real_111/20 = real_0) & ~
% 20.46/4.23 (real_11/2 = real_41/20) & ~ (real_11/2 = real_7/2) & ~ (real_11/2 = real_0)
% 20.46/4.23 & ~ (real_41/20 = real_7/2) & ~ (real_41/20 = real_0) & ~ (real_7/2 =
% 20.46/4.23 real_0) & real_$is_int(real_111/20) = 1 & real_$is_int(real_11/2) = 1 &
% 20.46/4.23 real_$is_int(real_41/20) = 1 & real_$is_int(real_7/2) = 1 &
% 20.46/4.23 real_$is_int(real_0) = 0 & real_$is_rat(real_111/20) = 0 &
% 20.46/4.23 real_$is_rat(real_11/2) = 0 & real_$is_rat(real_41/20) = 0 &
% 20.46/4.23 real_$is_rat(real_7/2) = 0 & real_$is_rat(real_0) = 0 & real_$floor(real_0) =
% 20.46/4.23 real_0 & real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 &
% 20.46/4.23 real_$round(real_0) = real_0 & real_$to_int(real_111/20) = 5 &
% 20.46/4.23 real_$to_int(real_11/2) = 5 & real_$to_int(real_41/20) = 2 &
% 20.46/4.23 real_$to_int(real_7/2) = 3 & real_$to_int(real_0) = 0 &
% 20.46/4.23 real_$to_rat(real_111/20) = rat_111/20 & real_$to_rat(real_11/2) = rat_11/2 &
% 20.46/4.23 real_$to_rat(real_41/20) = rat_41/20 & real_$to_rat(real_7/2) = rat_7/2 &
% 20.46/4.23 real_$to_rat(real_0) = rat_0 & real_$to_real(real_111/20) = real_111/20 &
% 20.46/4.23 real_$to_real(real_11/2) = real_11/2 & real_$to_real(real_41/20) = real_41/20
% 20.46/4.23 & real_$to_real(real_7/2) = real_7/2 & real_$to_real(real_0) = real_0 &
% 20.46/4.23 int_$to_real(0) = real_0 & real_$quotient(real_0, real_111/20) = real_0 &
% 20.46/4.23 real_$quotient(real_0, real_11/2) = real_0 & real_$quotient(real_0,
% 20.46/4.23 real_41/20) = real_0 & real_$quotient(real_0, real_7/2) = real_0 &
% 20.46/4.23 real_$product(real_111/20, real_0) = real_0 & real_$product(real_11/2, real_0)
% 20.46/4.23 = real_0 & real_$product(real_41/20, real_0) = real_0 &
% 20.46/4.23 real_$product(real_7/2, real_0) = real_0 & real_$product(real_0, real_111/20)
% 20.46/4.23 = real_0 & real_$product(real_0, real_11/2) = real_0 & real_$product(real_0,
% 20.46/4.23 real_41/20) = real_0 & real_$product(real_0, real_7/2) = real_0 &
% 20.46/4.23 real_$product(real_0, real_0) = real_0 & real_$difference(real_111/20,
% 20.46/4.23 real_111/20) = real_0 & real_$difference(real_111/20, real_41/20) = real_7/2
% 20.46/4.23 & real_$difference(real_111/20, real_7/2) = real_41/20 &
% 20.46/4.23 real_$difference(real_111/20, real_0) = real_111/20 &
% 20.46/4.23 real_$difference(real_11/2, real_11/2) = real_0 & real_$difference(real_11/2,
% 20.46/4.23 real_0) = real_11/2 & real_$difference(real_41/20, real_41/20) = real_0 &
% 20.46/4.23 real_$difference(real_41/20, real_0) = real_41/20 & real_$difference(real_7/2,
% 20.46/4.23 real_7/2) = real_0 & real_$difference(real_7/2, real_0) = real_7/2 &
% 20.46/4.23 real_$difference(real_0, real_0) = real_0 & real_$uminus(real_0) = real_0 &
% 20.46/4.23 real_$sum(real_111/20, real_0) = real_111/20 & real_$sum(real_11/2, real_0) =
% 20.46/4.24 real_11/2 & real_$sum(real_41/20, real_7/2) = real_111/20 &
% 20.46/4.24 real_$sum(real_41/20, real_0) = real_41/20 & real_$sum(real_7/2, real_41/20) =
% 20.46/4.24 real_111/20 & real_$sum(real_7/2, real_0) = real_7/2 & real_$sum(real_0,
% 20.46/4.24 real_111/20) = real_111/20 & real_$sum(real_0, real_11/2) = real_11/2 &
% 20.46/4.24 real_$sum(real_0, real_41/20) = real_41/20 & real_$sum(real_0, real_7/2) =
% 20.46/4.24 real_7/2 & real_$sum(real_0, real_0) = real_0 &
% 20.46/4.24 real_$greatereq(real_very_small, real_very_large) = 1 &
% 20.46/4.24 real_$greatereq(real_111/20, real_111/20) = 0 & real_$greatereq(real_111/20,
% 20.46/4.24 real_11/2) = 0 & real_$greatereq(real_111/20, real_41/20) = 0 &
% 20.46/4.24 real_$greatereq(real_111/20, real_7/2) = 0 & real_$greatereq(real_111/20,
% 20.46/4.24 real_0) = 0 & real_$greatereq(real_11/2, real_111/20) = 1 &
% 20.46/4.24 real_$greatereq(real_11/2, real_11/2) = 0 & real_$greatereq(real_11/2,
% 20.46/4.24 real_41/20) = 0 & real_$greatereq(real_11/2, real_7/2) = 0 &
% 20.46/4.24 real_$greatereq(real_11/2, real_0) = 0 & real_$greatereq(real_41/20,
% 20.46/4.24 real_111/20) = 1 & real_$greatereq(real_41/20, real_11/2) = 1 &
% 20.46/4.24 real_$greatereq(real_41/20, real_41/20) = 0 & real_$greatereq(real_41/20,
% 20.46/4.24 real_7/2) = 1 & real_$greatereq(real_41/20, real_0) = 0 &
% 20.46/4.24 real_$greatereq(real_7/2, real_111/20) = 1 & real_$greatereq(real_7/2,
% 20.46/4.24 real_11/2) = 1 & real_$greatereq(real_7/2, real_41/20) = 0 &
% 20.46/4.24 real_$greatereq(real_7/2, real_7/2) = 0 & real_$greatereq(real_7/2, real_0) =
% 20.46/4.24 0 & real_$greatereq(real_0, real_111/20) = 1 & real_$greatereq(real_0,
% 20.46/4.24 real_11/2) = 1 & real_$greatereq(real_0, real_41/20) = 1 &
% 20.46/4.24 real_$greatereq(real_0, real_7/2) = 1 & real_$greatereq(real_0, real_0) = 0 &
% 20.46/4.24 real_$lesseq(real_very_small, real_very_large) = 0 & real_$lesseq(real_111/20,
% 20.46/4.24 real_111/20) = 0 & real_$lesseq(real_111/20, real_11/2) = 1 &
% 20.46/4.24 real_$lesseq(real_111/20, real_41/20) = 1 & real_$lesseq(real_111/20,
% 20.46/4.24 real_7/2) = 1 & real_$lesseq(real_111/20, real_0) = 1 &
% 20.46/4.24 real_$lesseq(real_11/2, real_111/20) = 0 & real_$lesseq(real_11/2, real_11/2)
% 20.46/4.24 = 0 & real_$lesseq(real_11/2, real_41/20) = 1 & real_$lesseq(real_11/2,
% 20.46/4.24 real_7/2) = 1 & real_$lesseq(real_11/2, real_0) = 1 &
% 20.46/4.24 real_$lesseq(real_41/20, real_111/20) = 0 & real_$lesseq(real_41/20,
% 20.46/4.24 real_11/2) = 0 & real_$lesseq(real_41/20, real_41/20) = 0 &
% 20.46/4.24 real_$lesseq(real_41/20, real_7/2) = 0 & real_$lesseq(real_41/20, real_0) = 1
% 20.46/4.24 & real_$lesseq(real_7/2, real_111/20) = 0 & real_$lesseq(real_7/2, real_11/2)
% 20.46/4.24 = 0 & real_$lesseq(real_7/2, real_41/20) = 1 & real_$lesseq(real_7/2,
% 20.46/4.24 real_7/2) = 0 & real_$lesseq(real_7/2, real_0) = 1 & real_$lesseq(real_0,
% 20.46/4.24 real_111/20) = 0 & real_$lesseq(real_0, real_11/2) = 0 &
% 20.46/4.24 real_$lesseq(real_0, real_41/20) = 0 & real_$lesseq(real_0, real_7/2) = 0 &
% 20.46/4.24 real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, real_111/20)
% 20.46/4.24 = 0 & real_$greater(real_very_large, real_11/2) = 0 &
% 20.46/4.24 real_$greater(real_very_large, real_41/20) = 0 &
% 20.46/4.24 real_$greater(real_very_large, real_7/2) = 0 & real_$greater(real_very_large,
% 20.46/4.24 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 &
% 20.46/4.24 real_$greater(real_111/20, real_very_small) = 0 & real_$greater(real_111/20,
% 20.46/4.24 real_111/20) = 1 & real_$greater(real_111/20, real_11/2) = 0 &
% 20.46/4.24 real_$greater(real_111/20, real_41/20) = 0 & real_$greater(real_111/20,
% 20.46/4.24 real_7/2) = 0 & real_$greater(real_111/20, real_0) = 0 &
% 20.46/4.24 real_$greater(real_11/2, real_very_small) = 0 & real_$greater(real_11/2,
% 20.46/4.24 real_111/20) = 1 & real_$greater(real_11/2, real_11/2) = 1 &
% 20.46/4.24 real_$greater(real_11/2, real_41/20) = 0 & real_$greater(real_11/2, real_7/2)
% 20.46/4.24 = 0 & real_$greater(real_11/2, real_0) = 0 & real_$greater(real_41/20,
% 20.46/4.24 real_very_small) = 0 & real_$greater(real_41/20, real_111/20) = 1 &
% 20.46/4.24 real_$greater(real_41/20, real_11/2) = 1 & real_$greater(real_41/20,
% 20.46/4.24 real_41/20) = 1 & real_$greater(real_41/20, real_7/2) = 1 &
% 20.46/4.24 real_$greater(real_41/20, real_0) = 0 & real_$greater(real_7/2,
% 20.46/4.24 real_very_small) = 0 & real_$greater(real_7/2, real_111/20) = 1 &
% 20.46/4.24 real_$greater(real_7/2, real_11/2) = 1 & real_$greater(real_7/2, real_41/20) =
% 20.46/4.24 0 & real_$greater(real_7/2, real_7/2) = 1 & real_$greater(real_7/2, real_0) =
% 20.46/4.24 0 & real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0,
% 20.46/4.24 real_111/20) = 1 & real_$greater(real_0, real_11/2) = 1 &
% 20.46/4.24 real_$greater(real_0, real_41/20) = 1 & real_$greater(real_0, real_7/2) = 1 &
% 20.46/4.24 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small,
% 20.46/4.24 real_very_large) = 0 & real_$less(real_very_small, real_111/20) = 0 &
% 20.46/4.24 real_$less(real_very_small, real_11/2) = 0 & real_$less(real_very_small,
% 20.46/4.24 real_41/20) = 0 & real_$less(real_very_small, real_7/2) = 0 &
% 20.46/4.24 real_$less(real_very_small, real_0) = 0 & real_$less(real_111/20,
% 20.46/4.24 real_very_large) = 0 & real_$less(real_111/20, real_111/20) = 1 &
% 20.46/4.25 real_$less(real_111/20, real_11/2) = 1 & real_$less(real_111/20, real_41/20) =
% 20.46/4.25 1 & real_$less(real_111/20, real_7/2) = 1 & real_$less(real_111/20, real_0) =
% 20.46/4.25 1 & real_$less(real_11/2, real_very_large) = 0 & real_$less(real_11/2,
% 20.46/4.25 real_111/20) = 0 & real_$less(real_11/2, real_11/2) = 1 &
% 20.46/4.25 real_$less(real_11/2, real_41/20) = 1 & real_$less(real_11/2, real_7/2) = 1 &
% 20.46/4.25 real_$less(real_11/2, real_0) = 1 & real_$less(real_41/20, real_very_large) =
% 20.46/4.25 0 & real_$less(real_41/20, real_111/20) = 0 & real_$less(real_41/20,
% 20.46/4.25 real_11/2) = 0 & real_$less(real_41/20, real_41/20) = 1 &
% 20.46/4.25 real_$less(real_41/20, real_7/2) = 0 & real_$less(real_41/20, real_0) = 1 &
% 20.46/4.25 real_$less(real_7/2, real_very_large) = 0 & real_$less(real_7/2, real_111/20)
% 20.46/4.25 = 0 & real_$less(real_7/2, real_11/2) = 0 & real_$less(real_7/2, real_41/20) =
% 20.46/4.25 1 & real_$less(real_7/2, real_7/2) = 1 & real_$less(real_7/2, real_0) = 1 &
% 20.46/4.25 real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_111/20) = 0
% 20.46/4.25 & real_$less(real_0, real_11/2) = 0 & real_$less(real_0, real_41/20) = 0 &
% 20.46/4.25 real_$less(real_0, real_7/2) = 0 & real_$less(real_0, real_0) = 1 & ! [v0:
% 20.46/4.25 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] :
% 20.46/4.25 ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] :
% 20.46/4.25 (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: $real] : !
% 20.46/4.25 [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~
% 20.46/4.25 (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) = v3) | ? [v5: $real] :
% 20.46/4.25 (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) & ! [v0: $real] : !
% 20.46/4.25 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2,
% 20.46/4.25 v1) = 0) | ~ (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0)
% 20.46/4.25 & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/4.25 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~
% 20.46/4.25 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0)
% 20.46/4.25 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] :
% 20.46/4.25 (v3 = 0 | ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ?
% 20.46/4.25 [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : !
% 20.46/4.25 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1,
% 20.46/4.25 v0) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 20.46/4.25 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/4.25 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~
% 20.46/4.25 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1,
% 20.46/4.25 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3:
% 20.46/4.25 int] : (v3 = 0 | ~ (real_$less(v2, v0) = v3) | ~ (real_$less(v1, v0) = 0)
% 20.46/4.25 | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real]
% 20.46/4.25 : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) =
% 20.46/4.25 v2) | ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, v0) = v3) & !
% 20.46/4.25 [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 20.46/4.25 (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1,
% 20.46/4.25 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 |
% 20.46/4.25 ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 20.46/4.25 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/4.25 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 =
% 20.46/4.25 0) & real_$greatereq(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] :
% 20.46/4.25 ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~
% 20.46/4.25 (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] :
% 20.46/4.25 ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~
% 20.46/4.25 (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] :
% 20.46/4.25 ! [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3
% 20.46/4.25 = 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] :
% 20.46/4.25 ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2) |
% 20.46/4.25 real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/4.25 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & !
% 20.46/4.25 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) =
% 20.46/4.25 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : !
% 20.46/4.25 [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) | ? [v3: $real] :
% 20.46/4.25 (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1:
% 20.46/4.25 $real] : ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) =
% 20.46/4.25 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0,
% 20.46/4.25 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] :
% 20.46/4.25 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0)
% 20.46/4.25 | real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/4.25 $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) |
% 20.46/4.25 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] :
% 20.46/4.25 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2,
% 20.46/4.25 v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0,
% 20.46/4.25 real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~
% 20.46/4.25 (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : !
% 20.46/4.25 [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : !
% 20.46/4.25 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0:
% 20.46/4.25 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) =
% 20.46/4.25 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) =
% 20.46/4.25 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 20.46/4.25 (real_$lesseq(v1, v0) = 0) | real_$greatereq(v0, v1) = 0) & ! [v0: $real] :
% 20.46/4.25 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) &
% 20.46/4.25 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) |
% 20.46/4.25 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 20.46/4.26 (real_$less(v1, v0) = 0) | real_$greater(v0, v1) = 0) & ! [v0: $real] : !
% 20.46/4.26 [v1: MultipleValueBool] : ( ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0)
% 20.46/4.26 = 0) & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0))
% 20.46/4.26
% 20.46/4.26 Those formulas are unsatisfiable:
% 20.46/4.26 ---------------------------------
% 20.46/4.26
% 20.46/4.26 Begin of proof
% 20.46/4.26 |
% 20.46/4.26 | ALPHA: (input) implies:
% 20.46/4.26 | (1) ~ (real_111/20 = real_11/2)
% 20.46/4.26 |
% 20.46/4.26 | REDUCE: (1), (real_sum_problem_8) imply:
% 20.46/4.26 | (2) $false
% 20.46/4.26 |
% 20.46/4.26 | CLOSE: (2) is inconsistent.
% 20.46/4.26 |
% 20.46/4.26 End of proof
% 20.46/4.26 % SZS output end Proof for theBenchmark
% 20.46/4.26
% 20.46/4.26 3518ms
%------------------------------------------------------------------------------