TSTP Solution File: ARI226_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI226_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 : n019.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 17:47:21 EDT 2023
% Result : Theorem 6.30s 1.65s
% Output : Proof 10.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI226_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Tue Aug 29 18:00:43 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.83/0.97 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.83/0.97 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.10/1.03 Prover 1: Preprocessing ...
% 2.10/1.03 Prover 4: Preprocessing ...
% 2.92/1.12 Prover 0: Preprocessing ...
% 2.92/1.12 Prover 6: Preprocessing ...
% 3.24/1.15 Prover 3: Preprocessing ...
% 3.24/1.16 Prover 2: Preprocessing ...
% 3.24/1.18 Prover 5: Preprocessing ...
% 6.30/1.62 Prover 6: Constructing countermodel ...
% 6.30/1.64 Prover 6: proved (1013ms)
% 6.30/1.64
% 6.30/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.30/1.65
% 6.30/1.65 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.30/1.65 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 6.98/1.68 Prover 0: Constructing countermodel ...
% 6.98/1.68 Prover 0: stopped
% 7.04/1.70 Prover 2: stopped
% 7.04/1.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.04/1.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.04/1.70 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation
% 7.04/1.70 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 7.18/1.71 Prover 8: Preprocessing ...
% 7.25/1.73 Prover 1: Constructing countermodel ...
% 7.25/1.73 Prover 7: Preprocessing ...
% 7.25/1.74 Prover 10: Preprocessing ...
% 7.25/1.75 Prover 4: Constructing countermodel ...
% 7.85/1.87 Prover 8: Warning: ignoring some quantifiers
% 8.45/1.89 Prover 8: Constructing countermodel ...
% 9.59/2.06 Prover 1: Found proof (size 4)
% 9.59/2.06 Prover 1: proved (1431ms)
% 9.59/2.06 Prover 4: stopped
% 9.59/2.06 Prover 8: stopped
% 9.73/2.07 Prover 10: stopped
% 9.73/2.08 Prover 7: stopped
% 10.03/2.14 Prover 5: Constructing countermodel ...
% 10.03/2.14 Prover 5: stopped
% 10.19/2.20 Prover 3: Constructing countermodel ...
% 10.19/2.20 Prover 3: stopped
% 10.19/2.20
% 10.19/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.19/2.20
% 10.19/2.20 % SZS output start Proof for theBenchmark
% 10.19/2.21 Assumptions after simplification:
% 10.19/2.21 ---------------------------------
% 10.19/2.21
% 10.19/2.21 (rat_greater_problem_10)
% 10.58/2.23 rat_$greater(rat_-29/34, rat_-17/25) = 0
% 10.58/2.23
% 10.58/2.23 (input)
% 10.58/2.25 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_-17/25) & ~
% 10.58/2.25 (rat_very_large = rat_-29/34) & ~ (rat_very_large = rat_0) & ~
% 10.58/2.25 (rat_very_small = rat_-17/25) & ~ (rat_very_small = rat_-29/34) & ~
% 10.58/2.25 (rat_very_small = rat_0) & ~ (rat_-17/25 = rat_-29/34) & ~ (rat_-17/25 =
% 10.58/2.25 rat_0) & ~ (rat_-29/34 = rat_0) & rat_$is_int(rat_-17/25) = 1 &
% 10.58/2.25 rat_$is_int(rat_-29/34) = 1 & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_-17/25)
% 10.58/2.25 = 0 & rat_$is_rat(rat_-29/34) = 0 & rat_$is_rat(rat_0) = 0 & rat_$floor(rat_0)
% 10.58/2.25 = rat_0 & rat_$ceiling(rat_-17/25) = rat_0 & rat_$ceiling(rat_-29/34) = rat_0
% 10.58/2.25 & rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_-17/25) = rat_0 &
% 10.58/2.25 rat_$truncate(rat_-29/34) = rat_0 & rat_$truncate(rat_0) = rat_0 &
% 10.58/2.25 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_-17/25) = -1 &
% 10.58/2.25 rat_$to_int(rat_-29/34) = -1 & rat_$to_int(rat_0) = 0 &
% 10.58/2.25 rat_$to_rat(rat_-17/25) = rat_-17/25 & rat_$to_rat(rat_-29/34) = rat_-29/34 &
% 10.58/2.25 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_-17/25) = real_-17/25 &
% 10.58/2.25 rat_$to_real(rat_-29/34) = real_-29/34 & rat_$to_real(rat_0) = real_0 &
% 10.58/2.25 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_-17/25) = rat_0 &
% 10.58/2.25 rat_$quotient(rat_0, rat_-29/34) = rat_0 & rat_$product(rat_-17/25, rat_0) =
% 10.58/2.25 rat_0 & rat_$product(rat_-29/34, rat_0) = rat_0 & rat_$product(rat_0,
% 10.58/2.25 rat_-17/25) = rat_0 & rat_$product(rat_0, rat_-29/34) = rat_0 &
% 10.58/2.25 rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_-17/25, rat_-17/25) =
% 10.58/2.25 rat_0 & rat_$difference(rat_-17/25, rat_0) = rat_-17/25 &
% 10.58/2.25 rat_$difference(rat_-29/34, rat_-29/34) = rat_0 & rat_$difference(rat_-29/34,
% 10.58/2.25 rat_0) = rat_-29/34 & rat_$difference(rat_0, rat_0) = rat_0 &
% 10.58/2.25 rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_-17/25, rat_0) = rat_-17/25 &
% 10.58/2.25 rat_$sum(rat_-29/34, rat_0) = rat_-29/34 & rat_$sum(rat_0, rat_-17/25) =
% 10.58/2.25 rat_-17/25 & rat_$sum(rat_0, rat_-29/34) = rat_-29/34 & rat_$sum(rat_0, rat_0)
% 10.58/2.25 = rat_0 & rat_$greatereq(rat_very_small, rat_very_large) = 1 &
% 10.58/2.25 rat_$greatereq(rat_-17/25, rat_-17/25) = 0 & rat_$greatereq(rat_-17/25,
% 10.58/2.25 rat_-29/34) = 0 & rat_$greatereq(rat_-17/25, rat_0) = 1 &
% 10.58/2.25 rat_$greatereq(rat_-29/34, rat_-17/25) = 1 & rat_$greatereq(rat_-29/34,
% 10.58/2.25 rat_-29/34) = 0 & rat_$greatereq(rat_-29/34, rat_0) = 1 &
% 10.58/2.25 rat_$greatereq(rat_0, rat_-17/25) = 0 & rat_$greatereq(rat_0, rat_-29/34) = 0
% 10.58/2.25 & rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small,
% 10.58/2.25 rat_very_large) = 0 & rat_$lesseq(rat_-17/25, rat_-17/25) = 0 &
% 10.58/2.25 rat_$lesseq(rat_-17/25, rat_-29/34) = 1 & rat_$lesseq(rat_-17/25, rat_0) = 0 &
% 10.58/2.25 rat_$lesseq(rat_-29/34, rat_-17/25) = 0 & rat_$lesseq(rat_-29/34, rat_-29/34)
% 10.58/2.25 = 0 & rat_$lesseq(rat_-29/34, rat_0) = 0 & rat_$lesseq(rat_0, rat_-17/25) = 1
% 10.58/2.25 & rat_$lesseq(rat_0, rat_-29/34) = 1 & rat_$lesseq(rat_0, rat_0) = 0 &
% 10.58/2.25 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small,
% 10.58/2.25 rat_-17/25) = 0 & rat_$less(rat_very_small, rat_-29/34) = 0 &
% 10.58/2.25 rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_-17/25, rat_very_large) =
% 10.58/2.25 0 & rat_$less(rat_-17/25, rat_-17/25) = 1 & rat_$less(rat_-17/25, rat_-29/34)
% 10.58/2.25 = 1 & rat_$less(rat_-17/25, rat_0) = 0 & rat_$less(rat_-29/34, rat_very_large)
% 10.58/2.25 = 0 & rat_$less(rat_-29/34, rat_-17/25) = 0 & rat_$less(rat_-29/34,
% 10.58/2.25 rat_-29/34) = 1 & rat_$less(rat_-29/34, rat_0) = 0 & rat_$less(rat_0,
% 10.58/2.25 rat_very_large) = 0 & rat_$less(rat_0, rat_-17/25) = 1 & rat_$less(rat_0,
% 10.58/2.25 rat_-29/34) = 1 & rat_$less(rat_0, rat_0) = 1 & rat_$greater(rat_very_large,
% 10.58/2.25 rat_-17/25) = 0 & rat_$greater(rat_very_large, rat_-29/34) = 0 &
% 10.58/2.25 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small,
% 10.58/2.26 rat_very_large) = 1 & rat_$greater(rat_-17/25, rat_very_small) = 0 &
% 10.58/2.26 rat_$greater(rat_-17/25, rat_-17/25) = 1 & rat_$greater(rat_-17/25,
% 10.58/2.26 rat_-29/34) = 0 & rat_$greater(rat_-17/25, rat_0) = 1 &
% 10.58/2.26 rat_$greater(rat_-29/34, rat_very_small) = 0 & rat_$greater(rat_-29/34,
% 10.58/2.26 rat_-17/25) = 1 & rat_$greater(rat_-29/34, rat_-29/34) = 1 &
% 10.58/2.26 rat_$greater(rat_-29/34, rat_0) = 1 & rat_$greater(rat_0, rat_very_small) = 0
% 10.58/2.26 & rat_$greater(rat_0, rat_-17/25) = 0 & rat_$greater(rat_0, rat_-29/34) = 0 &
% 10.58/2.26 rat_$greater(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat]
% 10.58/2.26 : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~
% 10.58/2.26 (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 &
% 10.58/2.26 rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 10.58/2.26 ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~
% 10.58/2.26 (rat_$product(v1, v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat]
% 10.58/2.26 : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1,
% 10.58/2.26 v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & !
% 10.58/2.26 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~
% 10.58/2.26 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~
% 10.58/2.26 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : !
% 10.58/2.26 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2)
% 10.58/2.26 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : !
% 10.58/2.26 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) =
% 10.58/2.26 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~
% 10.58/2.26 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 10.58/2.26 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 10.58/2.26 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~
% 10.58/2.26 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] :
% 10.58/2.26 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~
% 10.58/2.26 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : !
% 10.58/2.26 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & !
% 10.58/2.26 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) |
% 10.58/2.26 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 10.58/2.26 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) =
% 10.58/2.26 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) =
% 10.58/2.26 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0)
% 10.58/2.26 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 10.58/2.26 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1:
% 10.58/2.26 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & !
% 10.58/2.26 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1,
% 10.58/2.26 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0))
% 10.58/2.26
% 10.58/2.26 (function-axioms)
% 10.58/2.26 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 10.58/2.26 (rat_$quotient(v3, v2) = v1) | ~ (rat_$quotient(v3, v2) = v0)) & ! [v0:
% 10.58/2.26 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 10.58/2.26 (rat_$product(v3, v2) = v1) | ~ (rat_$product(v3, v2) = v0)) & ! [v0:
% 10.58/2.26 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 10.58/2.26 (rat_$difference(v3, v2) = v1) | ~ (rat_$difference(v3, v2) = v0)) & !
% 10.58/2.26 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 10.58/2.26 (rat_$sum(v3, v2) = v1) | ~ (rat_$sum(v3, v2) = v0)) & ! [v0:
% 10.58/2.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3:
% 10.58/2.26 $rat] : (v1 = v0 | ~ (rat_$greatereq(v3, v2) = v1) | ~ (rat_$greatereq(v3,
% 10.58/2.26 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 10.58/2.26 ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$lesseq(v3, v2) = v1) | ~
% 10.58/2.26 (rat_$lesseq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.58/2.27 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 10.58/2.27 (rat_$less(v3, v2) = v1) | ~ (rat_$less(v3, v2) = v0)) & ! [v0:
% 10.58/2.27 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3:
% 10.58/2.27 $rat] : (v1 = v0 | ~ (rat_$greater(v3, v2) = v1) | ~ (rat_$greater(v3, v2)
% 10.58/2.27 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 10.58/2.27 $rat] : (v1 = v0 | ~ (rat_$is_int(v2) = v1) | ~ (rat_$is_int(v2) = v0)) &
% 10.58/2.27 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : (v1 =
% 10.58/2.27 v0 | ~ (rat_$is_rat(v2) = v1) | ~ (rat_$is_rat(v2) = v0)) & ! [v0: $rat]
% 10.58/2.27 : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$floor(v2) = v1) | ~
% 10.58/2.27 (rat_$floor(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1
% 10.58/2.27 = v0 | ~ (rat_$ceiling(v2) = v1) | ~ (rat_$ceiling(v2) = v0)) & ! [v0:
% 10.58/2.27 $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$truncate(v2) =
% 10.58/2.27 v1) | ~ (rat_$truncate(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 10.58/2.27 [v2: $rat] : (v1 = v0 | ~ (rat_$round(v2) = v1) | ~ (rat_$round(v2) = v0)) &
% 10.58/2.27 ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$to_int(v2) =
% 10.58/2.27 v1) | ~ (rat_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 10.58/2.27 $rat] : (v1 = v0 | ~ (rat_$to_rat(v2) = v1) | ~ (rat_$to_rat(v2) = v0)) &
% 10.58/2.27 ! [v0: $real] : ! [v1: $real] : ! [v2: $rat] : (v1 = v0 | ~
% 10.58/2.27 (rat_$to_real(v2) = v1) | ~ (rat_$to_real(v2) = v0)) & ! [v0: $rat] : !
% 10.58/2.27 [v1: $rat] : ! [v2: int] : (v1 = v0 | ~ (int_$to_rat(v2) = v1) | ~
% 10.58/2.27 (int_$to_rat(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 10.58/2.27 (v1 = v0 | ~ (rat_$uminus(v2) = v1) | ~ (rat_$uminus(v2) = v0))
% 10.58/2.27
% 10.58/2.27 Those formulas are unsatisfiable:
% 10.58/2.27 ---------------------------------
% 10.58/2.27
% 10.58/2.27 Begin of proof
% 10.58/2.27 |
% 10.58/2.27 | ALPHA: (function-axioms) implies:
% 10.58/2.27 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat]
% 10.58/2.27 | : ! [v3: $rat] : (v1 = v0 | ~ (rat_$greater(v3, v2) = v1) | ~
% 10.58/2.27 | (rat_$greater(v3, v2) = v0))
% 10.58/2.27 |
% 10.58/2.27 | ALPHA: (input) implies:
% 10.58/2.27 | (2) rat_$greater(rat_-29/34, rat_-17/25) = 1
% 10.58/2.27 |
% 10.58/2.27 | GROUND_INST: instantiating (1) with 0, 1, rat_-17/25, rat_-29/34, simplifying
% 10.58/2.27 | with (2), (rat_greater_problem_10) gives:
% 10.58/2.27 | (3) $false
% 10.58/2.27 |
% 10.58/2.27 | CLOSE: (3) is inconsistent.
% 10.58/2.27 |
% 10.58/2.27 End of proof
% 10.58/2.27 % SZS output end Proof for theBenchmark
% 10.58/2.27
% 10.58/2.27 1668ms
%------------------------------------------------------------------------------