TSTP Solution File: ARI395_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI395_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 : n029.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 17:47:53 EDT 2023
% Result : Theorem 6.16s 1.56s
% Output : Proof 9.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI395_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 : n029.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 18:37:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.67/0.66 ________ _____
% 0.67/0.66 ___ __ \_________(_)________________________________
% 0.67/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.67/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.67/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.67/0.66
% 0.67/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.67/0.66 (2023-06-19)
% 0.67/0.66
% 0.67/0.66 (c) Philipp Rümmer, 2009-2023
% 0.67/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.67/0.66 Amanda Stjerna.
% 0.67/0.66 Free software under BSD-3-Clause.
% 0.67/0.66
% 0.67/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.67/0.66
% 0.67/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.68 Running up to 7 provers in parallel.
% 0.67/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.67/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.67/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.67/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.67/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.67/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.67/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.67/0.97 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.67/0.97 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 2.32/1.03 Prover 1: Preprocessing ...
% 2.32/1.03 Prover 4: Preprocessing ...
% 2.32/1.09 Prover 0: Preprocessing ...
% 2.32/1.09 Prover 6: Preprocessing ...
% 2.84/1.14 Prover 2: Preprocessing ...
% 2.84/1.14 Prover 5: Preprocessing ...
% 2.84/1.15 Prover 3: Preprocessing ...
% 6.04/1.51 Prover 6: Constructing countermodel ...
% 6.16/1.54 Prover 1: Constructing countermodel ...
% 6.16/1.56 Prover 6: proved (861ms)
% 6.16/1.56
% 6.16/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.16/1.56
% 6.16/1.58 Prover 0: Constructing countermodel ...
% 6.16/1.58 Prover 0: proved (870ms)
% 6.16/1.58
% 6.16/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.16/1.58
% 6.16/1.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.16/1.58 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 6.16/1.58 Prover 2: stopped
% 6.16/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.16/1.60 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 6.16/1.60 Prover 4: Constructing countermodel ...
% 6.16/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.16/1.60 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 6.16/1.60 Prover 8: Preprocessing ...
% 6.79/1.62 Prover 7: Preprocessing ...
% 6.79/1.64 Prover 10: Preprocessing ...
% 7.34/1.76 Prover 8: Warning: ignoring some quantifiers
% 7.34/1.77 Prover 8: Constructing countermodel ...
% 8.34/1.82 Prover 1: Found proof (size 4)
% 8.34/1.82 Prover 1: proved (1136ms)
% 8.34/1.83 Prover 8: stopped
% 8.34/1.83 Prover 4: Found proof (size 4)
% 8.34/1.83 Prover 4: proved (1135ms)
% 8.34/1.86 Prover 7: stopped
% 8.34/1.88 Prover 10: stopped
% 8.93/1.92 Prover 5: Constructing countermodel ...
% 8.93/1.92 Prover 5: stopped
% 8.93/1.97 Prover 3: Constructing countermodel ...
% 8.93/1.97 Prover 3: stopped
% 8.93/1.97
% 8.93/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.93/1.97
% 8.93/1.97 % SZS output start Proof for theBenchmark
% 8.93/1.97 Assumptions after simplification:
% 8.93/1.97 ---------------------------------
% 8.93/1.97
% 8.93/1.97 (real_greatereq_problem_11)
% 9.35/1.99 real_$greatereq(real_-869/100, real_-13/4) = 0
% 9.35/1.99
% 9.35/1.99 (input)
% 9.35/2.02 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_-13/4) &
% 9.35/2.02 ~ (real_very_large = real_-869/100) & ~ (real_very_large = real_0) & ~
% 9.35/2.02 (real_very_small = real_-13/4) & ~ (real_very_small = real_-869/100) & ~
% 9.35/2.02 (real_very_small = real_0) & ~ (real_-13/4 = real_-869/100) & ~ (real_-13/4
% 9.35/2.02 = real_0) & ~ (real_-869/100 = real_0) & real_$is_int(real_-13/4) = 1 &
% 9.35/2.02 real_$is_int(real_-869/100) = 1 & real_$is_int(real_0) = 0 &
% 9.35/2.02 real_$is_rat(real_-13/4) = 0 & real_$is_rat(real_-869/100) = 0 &
% 9.35/2.02 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 &
% 9.35/2.02 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 &
% 9.35/2.02 real_$round(real_0) = real_0 & real_$to_int(real_-13/4) = -4 &
% 9.35/2.02 real_$to_int(real_-869/100) = -9 & real_$to_int(real_0) = 0 &
% 9.35/2.02 real_$to_rat(real_-13/4) = rat_-13/4 & real_$to_rat(real_-869/100) =
% 9.35/2.02 rat_-869/100 & real_$to_rat(real_0) = rat_0 & real_$to_real(real_-13/4) =
% 9.35/2.02 real_-13/4 & real_$to_real(real_-869/100) = real_-869/100 &
% 9.35/2.02 real_$to_real(real_0) = real_0 & int_$to_real(0) = real_0 &
% 9.35/2.02 real_$quotient(real_0, real_-13/4) = real_0 & real_$quotient(real_0,
% 9.35/2.02 real_-869/100) = real_0 & real_$product(real_-13/4, real_0) = real_0 &
% 9.35/2.02 real_$product(real_-869/100, real_0) = real_0 & real_$product(real_0,
% 9.35/2.02 real_-13/4) = real_0 & real_$product(real_0, real_-869/100) = real_0 &
% 9.35/2.02 real_$product(real_0, real_0) = real_0 & real_$difference(real_-13/4,
% 9.35/2.02 real_-13/4) = real_0 & real_$difference(real_-13/4, real_0) = real_-13/4 &
% 9.35/2.02 real_$difference(real_-869/100, real_-869/100) = real_0 &
% 9.35/2.02 real_$difference(real_-869/100, real_0) = real_-869/100 &
% 9.35/2.02 real_$difference(real_0, real_0) = real_0 & real_$uminus(real_0) = real_0 &
% 9.35/2.02 real_$sum(real_-13/4, real_0) = real_-13/4 & real_$sum(real_-869/100, real_0)
% 9.35/2.02 = real_-869/100 & real_$sum(real_0, real_-13/4) = real_-13/4 &
% 9.35/2.02 real_$sum(real_0, real_-869/100) = real_-869/100 & real_$sum(real_0, real_0) =
% 9.35/2.02 real_0 & real_$lesseq(real_very_small, real_very_large) = 0 &
% 9.35/2.02 real_$lesseq(real_-13/4, real_-13/4) = 0 & real_$lesseq(real_-13/4,
% 9.35/2.02 real_-869/100) = 1 & real_$lesseq(real_-13/4, real_0) = 0 &
% 9.35/2.02 real_$lesseq(real_-869/100, real_-13/4) = 0 & real_$lesseq(real_-869/100,
% 9.35/2.02 real_-869/100) = 0 & real_$lesseq(real_-869/100, real_0) = 0 &
% 9.35/2.02 real_$lesseq(real_0, real_-13/4) = 1 & real_$lesseq(real_0, real_-869/100) = 1
% 9.35/2.02 & real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large,
% 9.35/2.02 real_-13/4) = 0 & real_$greater(real_very_large, real_-869/100) = 0 &
% 9.35/2.02 real_$greater(real_very_large, real_0) = 0 & real_$greater(real_very_small,
% 9.35/2.02 real_very_large) = 1 & real_$greater(real_-13/4, real_very_small) = 0 &
% 9.35/2.02 real_$greater(real_-13/4, real_-13/4) = 1 & real_$greater(real_-13/4,
% 9.35/2.02 real_-869/100) = 0 & real_$greater(real_-13/4, real_0) = 1 &
% 9.35/2.02 real_$greater(real_-869/100, real_very_small) = 0 &
% 9.35/2.02 real_$greater(real_-869/100, real_-13/4) = 1 & real_$greater(real_-869/100,
% 9.35/2.02 real_-869/100) = 1 & real_$greater(real_-869/100, real_0) = 1 &
% 9.35/2.02 real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0, real_-13/4)
% 9.35/2.02 = 0 & real_$greater(real_0, real_-869/100) = 0 & real_$greater(real_0, real_0)
% 9.35/2.02 = 1 & real_$less(real_very_small, real_very_large) = 0 &
% 9.35/2.02 real_$less(real_very_small, real_-13/4) = 0 & real_$less(real_very_small,
% 9.35/2.02 real_-869/100) = 0 & real_$less(real_very_small, real_0) = 0 &
% 9.35/2.02 real_$less(real_-13/4, real_very_large) = 0 & real_$less(real_-13/4,
% 9.35/2.02 real_-13/4) = 1 & real_$less(real_-13/4, real_-869/100) = 1 &
% 9.35/2.02 real_$less(real_-13/4, real_0) = 0 & real_$less(real_-869/100,
% 9.35/2.02 real_very_large) = 0 & real_$less(real_-869/100, real_-13/4) = 0 &
% 9.35/2.02 real_$less(real_-869/100, real_-869/100) = 1 & real_$less(real_-869/100,
% 9.35/2.02 real_0) = 0 & real_$less(real_0, real_very_large) = 0 & real_$less(real_0,
% 9.35/2.02 real_-13/4) = 1 & real_$less(real_0, real_-869/100) = 1 & real_$less(real_0,
% 9.35/2.02 real_0) = 1 & real_$greatereq(real_very_small, real_very_large) = 1 &
% 9.35/2.02 real_$greatereq(real_-13/4, real_-13/4) = 0 & real_$greatereq(real_-13/4,
% 9.35/2.02 real_-869/100) = 0 & real_$greatereq(real_-13/4, real_0) = 1 &
% 9.35/2.02 real_$greatereq(real_-869/100, real_-13/4) = 1 &
% 9.35/2.02 real_$greatereq(real_-869/100, real_-869/100) = 0 &
% 9.35/2.02 real_$greatereq(real_-869/100, real_0) = 1 & real_$greatereq(real_0,
% 9.35/2.02 real_-13/4) = 0 & real_$greatereq(real_0, real_-869/100) = 0 &
% 9.35/2.02 real_$greatereq(real_0, real_0) = 0 & ! [v0: $real] : ! [v1: $real] : !
% 9.35/2.02 [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) |
% 9.35/2.02 ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 &
% 9.35/2.02 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.02 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2,
% 9.35/2.02 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1:
% 9.35/2.02 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v0)
% 9.35/2.02 = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) &
% 9.35/2.02 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.02 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~
% 9.35/2.02 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1)
% 9.35/2.02 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real]
% 9.35/2.02 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) |
% 9.35/2.02 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.02 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) =
% 9.35/2.02 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~
% 9.35/2.02 (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ (v3 = 0) &
% 9.35/2.02 real_$less(v1, v0) = v3))) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.02 int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 =
% 9.35/2.02 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : !
% 9.35/2.02 [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~
% 9.35/2.02 (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] :
% 9.35/2.02 ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | real_$product(v1, v0) =
% 9.35/2.02 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0,
% 9.35/2.02 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] :
% 9.35/2.02 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) |
% 9.35/2.02 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~
% 9.35/2.02 (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 |
% 9.35/2.02 ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] :
% 9.35/2.02 ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0:
% 9.35/2.02 $real] : ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1,
% 9.35/2.02 v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1)
% 9.35/2.02 = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : (v0 = real_0 | ~
% 9.35/2.02 (real_$uminus(v0) = v0))
% 9.35/2.02
% 9.35/2.02 (function-axioms)
% 9.35/2.03 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 |
% 9.35/2.03 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & !
% 9.35/2.03 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0:
% 9.35/2.03 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & !
% 9.35/2.03 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0:
% 9.35/2.03 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 9.35/2.03 $real] : (v1 = v0 | ~ (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3,
% 9.35/2.03 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 9.35/2.03 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) |
% 9.35/2.03 ~ (real_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.35/2.03 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$less(v3, v2) = v1) | ~ (real_$less(v3, v2) = v0)) & ! [v0:
% 9.35/2.03 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3:
% 9.35/2.03 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~
% 9.35/2.03 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.35/2.03 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1)
% 9.35/2.03 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.35/2.03 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1)
% 9.35/2.03 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.03 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) &
% 9.35/2.03 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] :
% 9.35/2.03 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~
% 9.35/2.03 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2:
% 9.35/2.03 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) &
% 9.35/2.03 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2)
% 9.35/2.03 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 9.35/2.03 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) =
% 9.35/2.03 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~
% 9.35/2.03 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] :
% 9.35/2.03 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~
% 9.35/2.03 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real]
% 9.35/2.03 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0))
% 9.35/2.03
% 9.35/2.03 Those formulas are unsatisfiable:
% 9.35/2.03 ---------------------------------
% 9.35/2.03
% 9.35/2.03 Begin of proof
% 9.35/2.03 |
% 9.35/2.03 | ALPHA: (function-axioms) implies:
% 9.35/2.03 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 9.35/2.03 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) =
% 9.35/2.03 | v1) | ~ (real_$greatereq(v3, v2) = v0))
% 9.35/2.03 |
% 9.35/2.03 | ALPHA: (input) implies:
% 9.35/2.03 | (2) real_$greatereq(real_-869/100, real_-13/4) = 1
% 9.35/2.03 |
% 9.35/2.03 | GROUND_INST: instantiating (1) with 0, 1, real_-13/4, real_-869/100,
% 9.35/2.03 | simplifying with (2), (real_greatereq_problem_11) gives:
% 9.35/2.03 | (3) $false
% 9.35/2.04 |
% 9.35/2.04 | CLOSE: (3) is inconsistent.
% 9.35/2.04 |
% 9.35/2.04 End of proof
% 9.35/2.04 % SZS output end Proof for theBenchmark
% 9.35/2.04
% 9.35/2.04 1375ms
%------------------------------------------------------------------------------