TSTP Solution File: ARI562_1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI562_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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:48:23 EDT 2023
% Result : Theorem 7.05s 1.66s
% Output : Proof 20.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI562_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 17:49:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.49/0.62 ________ _____
% 0.49/0.62 ___ __ \_________(_)________________________________
% 0.49/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.49/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.49/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.49/0.62
% 0.49/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.49/0.62 (2023-06-19)
% 0.49/0.62
% 0.49/0.62 (c) Philipp Rümmer, 2009-2023
% 0.49/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.49/0.62 Amanda Stjerna.
% 0.49/0.62 Free software under BSD-3-Clause.
% 0.49/0.62
% 0.49/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.49/0.62
% 0.49/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.49/0.63 Running up to 7 provers in parallel.
% 0.69/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.69/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.69/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.69/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.69/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.69/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.69/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.82/0.94 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.94 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.94 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.94 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.94 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.95 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.95 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 2.60/1.06 Prover 4: Preprocessing ...
% 2.60/1.06 Prover 1: Preprocessing ...
% 2.72/1.11 Prover 0: Preprocessing ...
% 2.72/1.11 Prover 6: Preprocessing ...
% 5.61/1.48 Prover 5: Preprocessing ...
% 5.61/1.51 Prover 3: Preprocessing ...
% 5.61/1.51 Prover 2: Preprocessing ...
% 6.49/1.61 Prover 6: Constructing countermodel ...
% 6.49/1.62 Prover 1: Constructing countermodel ...
% 6.49/1.63 Prover 0: Constructing countermodel ...
% 7.05/1.65 Prover 4: Constructing countermodel ...
% 7.05/1.66 Prover 0: proved (1016ms)
% 7.05/1.66 Prover 6: proved (1014ms)
% 7.05/1.66
% 7.05/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.05/1.66
% 7.05/1.66
% 7.05/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.05/1.66
% 7.05/1.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.05/1.67 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 7.05/1.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.24/1.68 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 7.24/1.69 Prover 8: Preprocessing ...
% 8.68/1.86 Prover 7: Preprocessing ...
% 8.68/1.89 Prover 8: Warning: ignoring some quantifiers
% 8.68/1.91 Prover 8: Constructing countermodel ...
% 9.28/1.96 Prover 1: Found proof (size 7)
% 9.28/1.96 Prover 1: proved (1325ms)
% 9.28/1.96 Prover 4: stopped
% 9.28/1.97 Prover 8: stopped
% 13.91/2.62 Prover 2: stopped
% 13.91/2.63 Prover 7: stopped
% 17.60/3.28 Prover 5: Constructing countermodel ...
% 17.60/3.28 Prover 5: stopped
% 19.91/3.85 Prover 3: Constructing countermodel ...
% 19.91/3.86 Prover 3: stopped
% 19.91/3.86
% 19.91/3.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.91/3.86
% 19.91/3.86 % SZS output start Proof for theBenchmark
% 19.91/3.86 Assumptions after simplification:
% 19.91/3.86 ---------------------------------
% 19.91/3.87
% 19.91/3.87 (real_combined_problem_13)
% 19.91/3.91 ? [v0: int] : ( ~ (v0 = 0) & real_$greater(real_28/25, real_-11/200) = v0)
% 19.91/3.91
% 19.91/3.91 (input)
% 20.25/3.97 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_-11/200) &
% 20.25/3.97 ~ (real_very_large = real_28/25) & ~ (real_very_large = real_3/5) & ~
% 20.25/3.97 (real_very_large = real_13/25) & ~ (real_very_large = real_0) & ~
% 20.25/3.97 (real_very_small = real_-11/200) & ~ (real_very_small = real_28/25) & ~
% 20.25/3.97 (real_very_small = real_3/5) & ~ (real_very_small = real_13/25) & ~
% 20.25/3.97 (real_very_small = real_0) & ~ (real_-11/200 = real_28/25) & ~ (real_-11/200
% 20.25/3.97 = real_3/5) & ~ (real_-11/200 = real_13/25) & ~ (real_-11/200 = real_0) &
% 20.25/3.97 ~ (real_28/25 = real_3/5) & ~ (real_28/25 = real_13/25) & ~ (real_28/25 =
% 20.25/3.97 real_0) & ~ (real_3/5 = real_13/25) & ~ (real_3/5 = real_0) & ~
% 20.25/3.97 (real_13/25 = real_0) & real_$is_int(real_-11/200) = 1 &
% 20.25/3.97 real_$is_int(real_28/25) = 1 & real_$is_int(real_3/5) = 1 &
% 20.25/3.97 real_$is_int(real_13/25) = 1 & real_$is_int(real_0) = 0 &
% 20.25/3.97 real_$is_rat(real_-11/200) = 0 & real_$is_rat(real_28/25) = 0 &
% 20.25/3.97 real_$is_rat(real_3/5) = 0 & real_$is_rat(real_13/25) = 0 &
% 20.25/3.97 real_$is_rat(real_0) = 0 & real_$floor(real_3/5) = real_0 &
% 20.25/3.97 real_$floor(real_13/25) = real_0 & real_$floor(real_0) = real_0 &
% 20.25/3.97 real_$ceiling(real_-11/200) = real_0 & real_$ceiling(real_0) = real_0 &
% 20.25/3.97 real_$truncate(real_-11/200) = real_0 & real_$truncate(real_3/5) = real_0 &
% 20.25/3.97 real_$truncate(real_13/25) = real_0 & real_$truncate(real_0) = real_0 &
% 20.25/3.97 real_$round(real_-11/200) = real_0 & real_$round(real_0) = real_0 &
% 20.25/3.97 real_$to_int(real_-11/200) = -1 & real_$to_int(real_28/25) = 1 &
% 20.25/3.97 real_$to_int(real_3/5) = 0 & real_$to_int(real_13/25) = 0 &
% 20.25/3.97 real_$to_int(real_0) = 0 & real_$to_rat(real_-11/200) = rat_-11/200 &
% 20.25/3.97 real_$to_rat(real_28/25) = rat_28/25 & real_$to_rat(real_3/5) = rat_3/5 &
% 20.25/3.97 real_$to_rat(real_13/25) = rat_13/25 & real_$to_rat(real_0) = rat_0 &
% 20.25/3.97 real_$to_real(real_-11/200) = real_-11/200 & real_$to_real(real_28/25) =
% 20.25/3.97 real_28/25 & real_$to_real(real_3/5) = real_3/5 & real_$to_real(real_13/25) =
% 20.25/3.97 real_13/25 & real_$to_real(real_0) = real_0 & int_$to_real(0) = real_0 &
% 20.25/3.97 real_$quotient(real_0, real_-11/200) = real_0 & real_$quotient(real_0,
% 20.25/3.97 real_28/25) = real_0 & real_$quotient(real_0, real_3/5) = real_0 &
% 20.25/3.97 real_$quotient(real_0, real_13/25) = real_0 & real_$product(real_-11/200,
% 20.25/3.97 real_0) = real_0 & real_$product(real_28/25, real_0) = real_0 &
% 20.25/3.97 real_$product(real_3/5, real_0) = real_0 & real_$product(real_13/25, real_0) =
% 20.25/3.97 real_0 & real_$product(real_0, real_-11/200) = real_0 & real_$product(real_0,
% 20.25/3.97 real_28/25) = real_0 & real_$product(real_0, real_3/5) = real_0 &
% 20.25/3.97 real_$product(real_0, real_13/25) = real_0 & real_$product(real_0, real_0) =
% 20.25/3.97 real_0 & real_$difference(real_-11/200, real_-11/200) = real_0 &
% 20.25/3.97 real_$difference(real_-11/200, real_0) = real_-11/200 &
% 20.25/3.97 real_$difference(real_28/25, real_28/25) = real_0 &
% 20.25/3.97 real_$difference(real_28/25, real_3/5) = real_13/25 &
% 20.25/3.97 real_$difference(real_28/25, real_13/25) = real_3/5 &
% 20.25/3.97 real_$difference(real_28/25, real_0) = real_28/25 & real_$difference(real_3/5,
% 20.25/3.97 real_3/5) = real_0 & real_$difference(real_3/5, real_0) = real_3/5 &
% 20.25/3.97 real_$difference(real_13/25, real_13/25) = real_0 &
% 20.25/3.97 real_$difference(real_13/25, real_0) = real_13/25 & real_$difference(real_0,
% 20.25/3.97 real_0) = real_0 & real_$uminus(real_0) = real_0 & real_$sum(real_-11/200,
% 20.25/3.97 real_0) = real_-11/200 & real_$sum(real_28/25, real_0) = real_28/25 &
% 20.25/3.97 real_$sum(real_3/5, real_13/25) = real_28/25 & real_$sum(real_3/5, real_0) =
% 20.25/3.97 real_3/5 & real_$sum(real_13/25, real_3/5) = real_28/25 &
% 20.25/3.97 real_$sum(real_13/25, real_0) = real_13/25 & real_$sum(real_0, real_-11/200) =
% 20.25/3.97 real_-11/200 & real_$sum(real_0, real_28/25) = real_28/25 & real_$sum(real_0,
% 20.25/3.97 real_3/5) = real_3/5 & real_$sum(real_0, real_13/25) = real_13/25 &
% 20.25/3.97 real_$sum(real_0, real_0) = real_0 & real_$greatereq(real_very_small,
% 20.25/3.97 real_very_large) = 1 & real_$greatereq(real_-11/200, real_-11/200) = 0 &
% 20.25/3.97 real_$greatereq(real_-11/200, real_28/25) = 1 & real_$greatereq(real_-11/200,
% 20.25/3.97 real_3/5) = 1 & real_$greatereq(real_-11/200, real_13/25) = 1 &
% 20.25/3.97 real_$greatereq(real_-11/200, real_0) = 1 & real_$greatereq(real_28/25,
% 20.25/3.97 real_-11/200) = 0 & real_$greatereq(real_28/25, real_28/25) = 0 &
% 20.25/3.97 real_$greatereq(real_28/25, real_3/5) = 0 & real_$greatereq(real_28/25,
% 20.25/3.97 real_13/25) = 0 & real_$greatereq(real_28/25, real_0) = 0 &
% 20.25/3.97 real_$greatereq(real_3/5, real_-11/200) = 0 & real_$greatereq(real_3/5,
% 20.25/3.97 real_28/25) = 1 & real_$greatereq(real_3/5, real_3/5) = 0 &
% 20.25/3.97 real_$greatereq(real_3/5, real_13/25) = 0 & real_$greatereq(real_3/5, real_0)
% 20.25/3.98 = 0 & real_$greatereq(real_13/25, real_-11/200) = 0 &
% 20.25/3.98 real_$greatereq(real_13/25, real_28/25) = 1 & real_$greatereq(real_13/25,
% 20.25/3.98 real_3/5) = 1 & real_$greatereq(real_13/25, real_13/25) = 0 &
% 20.25/3.98 real_$greatereq(real_13/25, real_0) = 0 & real_$greatereq(real_0,
% 20.25/3.98 real_-11/200) = 0 & real_$greatereq(real_0, real_28/25) = 1 &
% 20.25/3.98 real_$greatereq(real_0, real_3/5) = 1 & real_$greatereq(real_0, real_13/25) =
% 20.25/3.98 1 & real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small,
% 20.25/3.98 real_very_large) = 0 & real_$lesseq(real_-11/200, real_-11/200) = 0 &
% 20.25/3.98 real_$lesseq(real_-11/200, real_28/25) = 0 & real_$lesseq(real_-11/200,
% 20.25/3.98 real_3/5) = 0 & real_$lesseq(real_-11/200, real_13/25) = 0 &
% 20.25/3.98 real_$lesseq(real_-11/200, real_0) = 0 & real_$lesseq(real_28/25,
% 20.25/3.98 real_-11/200) = 1 & real_$lesseq(real_28/25, real_28/25) = 0 &
% 20.25/3.98 real_$lesseq(real_28/25, real_3/5) = 1 & real_$lesseq(real_28/25, real_13/25)
% 20.25/3.98 = 1 & real_$lesseq(real_28/25, real_0) = 1 & real_$lesseq(real_3/5,
% 20.25/3.98 real_-11/200) = 1 & real_$lesseq(real_3/5, real_28/25) = 0 &
% 20.25/3.98 real_$lesseq(real_3/5, real_3/5) = 0 & real_$lesseq(real_3/5, real_13/25) = 1
% 20.25/3.98 & real_$lesseq(real_3/5, real_0) = 1 & real_$lesseq(real_13/25, real_-11/200)
% 20.25/3.98 = 1 & real_$lesseq(real_13/25, real_28/25) = 0 & real_$lesseq(real_13/25,
% 20.25/3.98 real_3/5) = 0 & real_$lesseq(real_13/25, real_13/25) = 0 &
% 20.25/3.98 real_$lesseq(real_13/25, real_0) = 1 & real_$lesseq(real_0, real_-11/200) = 1
% 20.25/3.98 & real_$lesseq(real_0, real_28/25) = 0 & real_$lesseq(real_0, real_3/5) = 0 &
% 20.25/3.98 real_$lesseq(real_0, real_13/25) = 0 & real_$lesseq(real_0, real_0) = 0 &
% 20.25/3.98 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small,
% 20.25/3.98 real_-11/200) = 0 & real_$less(real_very_small, real_28/25) = 0 &
% 20.25/3.98 real_$less(real_very_small, real_3/5) = 0 & real_$less(real_very_small,
% 20.25/3.98 real_13/25) = 0 & real_$less(real_very_small, real_0) = 0 &
% 20.25/3.98 real_$less(real_-11/200, real_very_large) = 0 & real_$less(real_-11/200,
% 20.25/3.98 real_-11/200) = 1 & real_$less(real_-11/200, real_28/25) = 0 &
% 20.25/3.98 real_$less(real_-11/200, real_3/5) = 0 & real_$less(real_-11/200, real_13/25)
% 20.25/3.98 = 0 & real_$less(real_-11/200, real_0) = 0 & real_$less(real_28/25,
% 20.25/3.98 real_very_large) = 0 & real_$less(real_28/25, real_-11/200) = 1 &
% 20.25/3.98 real_$less(real_28/25, real_28/25) = 1 & real_$less(real_28/25, real_3/5) = 1
% 20.25/3.98 & real_$less(real_28/25, real_13/25) = 1 & real_$less(real_28/25, real_0) = 1
% 20.25/3.98 & real_$less(real_3/5, real_very_large) = 0 & real_$less(real_3/5,
% 20.25/3.98 real_-11/200) = 1 & real_$less(real_3/5, real_28/25) = 0 &
% 20.25/3.98 real_$less(real_3/5, real_3/5) = 1 & real_$less(real_3/5, real_13/25) = 1 &
% 20.25/3.98 real_$less(real_3/5, real_0) = 1 & real_$less(real_13/25, real_very_large) = 0
% 20.25/3.98 & real_$less(real_13/25, real_-11/200) = 1 & real_$less(real_13/25,
% 20.25/3.98 real_28/25) = 0 & real_$less(real_13/25, real_3/5) = 0 &
% 20.25/3.98 real_$less(real_13/25, real_13/25) = 1 & real_$less(real_13/25, real_0) = 1 &
% 20.25/3.98 real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_-11/200) = 1
% 20.25/3.98 & real_$less(real_0, real_28/25) = 0 & real_$less(real_0, real_3/5) = 0 &
% 20.25/3.98 real_$less(real_0, real_13/25) = 0 & real_$less(real_0, real_0) = 1 &
% 20.25/3.98 real_$greater(real_very_large, real_-11/200) = 0 &
% 20.25/3.98 real_$greater(real_very_large, real_28/25) = 0 &
% 20.25/3.98 real_$greater(real_very_large, real_3/5) = 0 & real_$greater(real_very_large,
% 20.25/3.98 real_13/25) = 0 & real_$greater(real_very_large, real_0) = 0 &
% 20.25/3.98 real_$greater(real_very_small, real_very_large) = 1 &
% 20.25/3.98 real_$greater(real_-11/200, real_very_small) = 0 & real_$greater(real_-11/200,
% 20.25/3.98 real_-11/200) = 1 & real_$greater(real_-11/200, real_28/25) = 1 &
% 20.25/3.98 real_$greater(real_-11/200, real_3/5) = 1 & real_$greater(real_-11/200,
% 20.25/3.98 real_13/25) = 1 & real_$greater(real_-11/200, real_0) = 1 &
% 20.25/3.98 real_$greater(real_28/25, real_very_small) = 0 & real_$greater(real_28/25,
% 20.25/3.98 real_-11/200) = 0 & real_$greater(real_28/25, real_28/25) = 1 &
% 20.25/3.98 real_$greater(real_28/25, real_3/5) = 0 & real_$greater(real_28/25,
% 20.25/3.98 real_13/25) = 0 & real_$greater(real_28/25, real_0) = 0 &
% 20.25/3.98 real_$greater(real_3/5, real_very_small) = 0 & real_$greater(real_3/5,
% 20.25/3.98 real_-11/200) = 0 & real_$greater(real_3/5, real_28/25) = 1 &
% 20.25/3.98 real_$greater(real_3/5, real_3/5) = 1 & real_$greater(real_3/5, real_13/25) =
% 20.25/3.98 0 & real_$greater(real_3/5, real_0) = 0 & real_$greater(real_13/25,
% 20.25/3.98 real_very_small) = 0 & real_$greater(real_13/25, real_-11/200) = 0 &
% 20.25/3.98 real_$greater(real_13/25, real_28/25) = 1 & real_$greater(real_13/25,
% 20.25/3.98 real_3/5) = 1 & real_$greater(real_13/25, real_13/25) = 1 &
% 20.25/3.98 real_$greater(real_13/25, real_0) = 0 & real_$greater(real_0, real_very_small)
% 20.25/3.98 = 0 & real_$greater(real_0, real_-11/200) = 0 & real_$greater(real_0,
% 20.25/3.98 real_28/25) = 1 & real_$greater(real_0, real_3/5) = 1 &
% 20.25/3.98 real_$greater(real_0, real_13/25) = 1 & real_$greater(real_0, real_0) = 1 & !
% 20.25/3.98 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4:
% 20.25/3.98 $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ?
% 20.25/3.98 [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0:
% 20.25/3.98 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v3 = v1 | v0 =
% 20.25/3.98 real_0 | ~ (real_$quotient(v2, v0) = v3) | ~ (real_$product(v1, v0) = v2))
% 20.25/3.98 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 |
% 20.25/3.98 ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int]
% 20.25/3.98 : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1:
% 20.25/3.98 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0)
% 20.25/3.98 = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 20.25/3.98 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.25/3.98 $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1,
% 20.25/3.98 v2) = v3) | real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1:
% 20.25/3.98 $real] : ! [v2: $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~
% 20.25/3.98 (real_$sum(v0, v1) = v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] :
% 20.25/3.98 (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 20.25/3.98 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.25/3.98 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3:
% 20.25/3.98 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : !
% 20.25/3.98 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ?
% 20.25/3.98 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : !
% 20.25/3.98 [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) |
% 20.25/3.98 real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.25/3.98 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0:
% 20.25/3.98 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) |
% 20.25/3.98 ~ (real_$less(v1, v0) = 0) | real_$less(v2, v0) = 0) & ! [v0: $real] : !
% 20.25/3.98 [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] :
% 20.25/3.98 ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0)
% 20.25/3.98 = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) |
% 20.25/3.98 real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: $real] : ( ~
% 20.25/3.98 (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] :
% 20.25/3.98 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) &
% 20.25/3.98 ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0))
% 20.25/3.98
% 20.46/3.99 (function-axioms)
% 20.46/3.99 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 |
% 20.46/3.99 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & !
% 20.46/3.99 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0:
% 20.46/3.99 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & !
% 20.46/3.99 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0:
% 20.46/3.99 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 20.46/3.99 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~
% 20.46/3.99 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 20.46/3.99 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0:
% 20.46/3.99 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 20.46/3.99 $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~ (real_$less(v3, v2) =
% 20.46/3.99 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 20.46/3.99 $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~
% 20.46/3.99 (real_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 20.46/3.99 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1)
% 20.46/3.99 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 20.46/3.99 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1)
% 20.46/3.99 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/3.99 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) &
% 20.46/3.99 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] :
% 20.46/3.99 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~
% 20.46/3.99 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 20.46/3.99 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) &
% 20.46/3.99 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2)
% 20.46/3.99 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 20.46/3.99 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) =
% 20.46/3.99 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 20.46/3.99 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] :
% 20.46/3.99 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~
% 20.46/3.99 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 20.46/3.99 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 20.46/3.99
% 20.46/3.99 Those formulas are unsatisfiable:
% 20.46/3.99 ---------------------------------
% 20.46/3.99
% 20.46/3.99 Begin of proof
% 20.46/4.00 |
% 20.46/4.00 | ALPHA: (function-axioms) implies:
% 20.46/4.00 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 20.46/4.00 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1)
% 20.46/4.00 | | ~ (real_$greater(v3, v2) = v0))
% 20.46/4.00 |
% 20.46/4.00 | ALPHA: (input) implies:
% 20.46/4.00 | (2) real_$greater(real_28/25, real_-11/200) = 0
% 20.46/4.00 |
% 20.46/4.00 | DELTA: instantiating (real_combined_problem_13) with fresh symbol all_5_0
% 20.46/4.00 | gives:
% 20.46/4.00 | (3) ~ (all_5_0 = 0) & real_$greater(real_28/25, real_-11/200) = all_5_0
% 20.46/4.00 |
% 20.46/4.00 | ALPHA: (3) implies:
% 20.46/4.00 | (4) ~ (all_5_0 = 0)
% 20.46/4.00 | (5) real_$greater(real_28/25, real_-11/200) = all_5_0
% 20.46/4.00 |
% 20.46/4.00 | GROUND_INST: instantiating (1) with 0, all_5_0, real_-11/200, real_28/25,
% 20.46/4.00 | simplifying with (2), (5) gives:
% 20.46/4.00 | (6) all_5_0 = 0
% 20.46/4.00 |
% 20.46/4.00 | REDUCE: (4), (6) imply:
% 20.46/4.00 | (7) $false
% 20.46/4.01 |
% 20.46/4.01 | CLOSE: (7) is inconsistent.
% 20.46/4.01 |
% 20.46/4.01 End of proof
% 20.46/4.01 % SZS output end Proof for theBenchmark
% 20.46/4.01
% 20.46/4.01 3388ms
%------------------------------------------------------------------------------