TSTP Solution File: SWV114+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n016.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 : Thu Aug 31 22:54:58 EDT 2023
% Result : Theorem 51.19s 7.35s
% Output : Proof 160.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 08:49:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.60/0.59 ________ _____
% 0.60/0.59 ___ __ \_________(_)________________________________
% 0.60/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.60/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.60/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.60/0.59
% 0.60/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.60/0.59 (2023-06-19)
% 0.60/0.59
% 0.60/0.59 (c) Philipp Rümmer, 2009-2023
% 0.60/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.60/0.59 Amanda Stjerna.
% 0.60/0.59 Free software under BSD-3-Clause.
% 0.60/0.59
% 0.60/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.60/0.59
% 0.60/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.60 Running up to 7 provers in parallel.
% 0.63/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.63/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.83/1.36 Prover 1: Preprocessing ...
% 4.83/1.36 Prover 4: Preprocessing ...
% 5.35/1.40 Prover 5: Preprocessing ...
% 5.35/1.40 Prover 6: Preprocessing ...
% 5.35/1.40 Prover 3: Preprocessing ...
% 5.35/1.40 Prover 2: Preprocessing ...
% 5.35/1.40 Prover 0: Preprocessing ...
% 10.97/2.14 Prover 1: Warning: ignoring some quantifiers
% 10.97/2.20 Prover 3: Warning: ignoring some quantifiers
% 11.68/2.24 Prover 3: Constructing countermodel ...
% 11.68/2.24 Prover 1: Constructing countermodel ...
% 11.68/2.27 Prover 6: Proving ...
% 11.68/2.28 Prover 4: Warning: ignoring some quantifiers
% 12.90/2.40 Prover 4: Constructing countermodel ...
% 13.07/2.44 Prover 0: Proving ...
% 13.07/2.44 Prover 2: Proving ...
% 13.07/2.46 Prover 5: Proving ...
% 51.19/7.35 Prover 3: proved (6738ms)
% 51.19/7.35
% 51.19/7.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.19/7.35
% 51.19/7.36 Prover 5: stopped
% 51.19/7.36 Prover 6: stopped
% 51.19/7.36 Prover 0: stopped
% 51.19/7.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 51.19/7.36 Prover 2: stopped
% 51.19/7.37 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 51.19/7.37 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 51.19/7.37 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 51.19/7.37 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 52.89/7.51 Prover 13: Preprocessing ...
% 52.89/7.52 Prover 11: Preprocessing ...
% 52.89/7.56 Prover 8: Preprocessing ...
% 53.45/7.59 Prover 10: Preprocessing ...
% 53.45/7.63 Prover 7: Preprocessing ...
% 54.36/7.70 Prover 10: Warning: ignoring some quantifiers
% 54.36/7.72 Prover 10: Constructing countermodel ...
% 54.61/7.79 Prover 7: Warning: ignoring some quantifiers
% 54.61/7.80 Prover 7: Constructing countermodel ...
% 54.61/7.80 Prover 8: Warning: ignoring some quantifiers
% 55.23/7.82 Prover 13: Warning: ignoring some quantifiers
% 55.23/7.82 Prover 11: Warning: ignoring some quantifiers
% 55.23/7.82 Prover 8: Constructing countermodel ...
% 55.23/7.84 Prover 11: Constructing countermodel ...
% 55.23/7.85 Prover 13: Constructing countermodel ...
% 87.32/11.93 Prover 13: stopped
% 87.32/11.93 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 88.22/12.05 Prover 16: Preprocessing ...
% 89.55/12.22 Prover 16: Warning: ignoring some quantifiers
% 89.55/12.23 Prover 16: Constructing countermodel ...
% 118.15/15.97 Prover 1: stopped
% 118.15/15.97 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 118.76/16.05 Prover 19: Preprocessing ...
% 121.01/16.36 Prover 19: Warning: ignoring some quantifiers
% 121.76/16.38 Prover 19: Constructing countermodel ...
% 128.45/17.26 Prover 16: stopped
% 143.61/19.54 Prover 19: stopped
% 155.41/21.66 Prover 4: Found proof (size 2032)
% 155.41/21.66 Prover 4: proved (21040ms)
% 155.41/21.66 Prover 10: stopped
% 155.41/21.66 Prover 7: stopped
% 155.41/21.66 Prover 11: stopped
% 155.41/21.67 Prover 8: stopped
% 155.41/21.67
% 155.41/21.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 155.41/21.67
% 157.68/23.75 % SZS output start Proof for theBenchmark
% 157.78/23.76 Assumptions after simplification:
% 157.78/23.76 ---------------------------------
% 157.78/23.76
% 157.78/23.76 (finite_domain_0)
% 157.87/23.79 $i(n0) & ! [v0: $i] : (v0 = n0 | ~ (leq(v0, n0) = 0) | ~ $i(v0) | ? [v1:
% 157.87/23.79 int] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0: $i] : (v0 = n0 | ~
% 157.87/23.79 (leq(n0, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(v0, n0) =
% 157.87/23.79 v1))
% 157.87/23.79
% 157.87/23.79 (finite_domain_2)
% 157.87/23.79 $i(n2) & $i(n1) & $i(n0) & ! [v0: $i] : (v0 = n2 | v0 = n1 | v0 = n0 | ~
% 157.87/23.79 (leq(v0, n2) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(n0, v0) =
% 157.87/23.79 v1)) & ! [v0: $i] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) |
% 157.87/23.79 ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(v0, n2) = v1))
% 157.87/23.79
% 157.87/23.79 (finite_domain_5)
% 157.87/23.80 $i(n5) & $i(n4) & $i(n3) & $i(n2) & $i(n1) & $i(n0) & ! [v0: $i] : (v0 = n5 |
% 157.87/23.80 v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ~
% 157.87/23.80 $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0: $i] :
% 157.87/23.80 (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) =
% 157.87/23.80 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(v0, n5) = v1))
% 157.87/23.80
% 157.87/23.80 (gt_0_tptp_minus_1)
% 157.87/23.80 gt(n0, tptp_minus_1) = 0 & $i(tptp_minus_1) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_1_0)
% 157.87/23.80 gt(n1, n0) = 0 & $i(n1) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_1_tptp_minus_1)
% 157.87/23.80 gt(n1, tptp_minus_1) = 0 & $i(n1) & $i(tptp_minus_1)
% 157.87/23.80
% 157.87/23.80 (gt_2_0)
% 157.87/23.80 gt(n2, n0) = 0 & $i(n2) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_2_1)
% 157.87/23.80 gt(n2, n1) = 0 & $i(n2) & $i(n1)
% 157.87/23.80
% 157.87/23.80 (gt_2_tptp_minus_1)
% 157.87/23.80 gt(n2, tptp_minus_1) = 0 & $i(n2) & $i(tptp_minus_1)
% 157.87/23.80
% 157.87/23.80 (gt_3_0)
% 157.87/23.80 gt(n3, n0) = 0 & $i(n3) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_3_1)
% 157.87/23.80 gt(n3, n1) = 0 & $i(n3) & $i(n1)
% 157.87/23.80
% 157.87/23.80 (gt_3_2)
% 157.87/23.80 gt(n3, n2) = 0 & $i(n3) & $i(n2)
% 157.87/23.80
% 157.87/23.80 (gt_3_tptp_minus_1)
% 157.87/23.80 gt(n3, tptp_minus_1) = 0 & $i(n3) & $i(tptp_minus_1)
% 157.87/23.80
% 157.87/23.80 (gt_6_0)
% 157.87/23.80 gt(n6, n0) = 0 & $i(n6) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_6_1)
% 157.87/23.80 gt(n6, n1) = 0 & $i(n6) & $i(n1)
% 157.87/23.80
% 157.87/23.80 (gt_6_2)
% 157.87/23.80 gt(n6, n2) = 0 & $i(n6) & $i(n2)
% 157.87/23.80
% 157.87/23.80 (gt_6_3)
% 157.87/23.80 gt(n6, n3) = 0 & $i(n6) & $i(n3)
% 157.87/23.80
% 157.87/23.80 (gt_6_4)
% 157.87/23.80 gt(n6, n4) = 0 & $i(n6) & $i(n4)
% 157.87/23.80
% 157.87/23.80 (gt_6_5)
% 157.87/23.80 gt(n6, n5) = 0 & $i(n6) & $i(n5)
% 157.87/23.80
% 157.87/23.80 (gt_6_tptp_minus_1)
% 157.87/23.80 gt(n6, tptp_minus_1) = 0 & $i(n6) & $i(tptp_minus_1)
% 157.87/23.80
% 157.87/23.80 (gt_999_0)
% 157.87/23.80 gt(n999, n0) = 0 & $i(n999) & $i(n0)
% 157.87/23.80
% 157.87/23.80 (gt_999_1)
% 157.87/23.81 gt(n999, n1) = 0 & $i(n999) & $i(n1)
% 157.87/23.81
% 157.87/23.81 (gt_999_2)
% 157.87/23.81 gt(n999, n2) = 0 & $i(n999) & $i(n2)
% 157.87/23.81
% 157.87/23.81 (gt_999_3)
% 157.87/23.81 gt(n999, n3) = 0 & $i(n999) & $i(n3)
% 157.87/23.81
% 157.87/23.81 (gt_999_4)
% 157.87/23.81 gt(n999, n4) = 0 & $i(n999) & $i(n4)
% 157.87/23.81
% 157.87/23.81 (gt_999_5)
% 157.87/23.81 gt(n999, n5) = 0 & $i(n999) & $i(n5)
% 157.87/23.81
% 157.87/23.81 (gt_999_6)
% 157.87/23.81 gt(n999, n6) = 0 & $i(n6) & $i(n999)
% 157.87/23.81
% 157.87/23.81 (gt_999_tptp_minus_1)
% 157.87/23.81 gt(n999, tptp_minus_1) = 0 & $i(n999) & $i(tptp_minus_1)
% 157.87/23.81
% 157.87/23.81 (irreflexivity_gt)
% 157.87/23.81 ! [v0: $i] : ( ~ (gt(v0, v0) = 0) | ~ $i(v0))
% 157.87/23.81
% 157.87/23.81 (leq_gt1)
% 157.87/23.81 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1) = v2) |
% 157.87/23.81 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & !
% 157.87/23.81 [v0: $i] : ! [v1: $i] : ( ~ (gt(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) |
% 157.87/23.81 leq(v0, v1) = 0)
% 157.87/23.81
% 157.87/23.81 (leq_gt2)
% 157.87/23.81 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0)
% 157.87/23.81 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & leq(v0, v1)
% 157.87/23.81 = v3)) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~
% 157.87/23.81 $i(v1) | ~ $i(v0) | gt(v1, v0) = 0)
% 157.87/23.81
% 157.87/23.81 (leq_gt_pred)
% 157.87/23.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 157.87/23.82 (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 157.87/23.82 int] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0: $i] : ! [v1: $i] : !
% 157.87/23.82 [v2: int] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 157.87/23.82 $i] : ? [v4: int] : ( ~ (v4 = 0) & pred(v1) = v3 & leq(v0, v3) = v4 &
% 157.87/23.82 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (pred(v1) = v2) |
% 157.87/23.82 ~ (leq(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | gt(v1, v0) = 0) & ! [v0: $i]
% 157.87/23.82 : ! [v1: $i] : ( ~ (gt(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 157.87/23.82 (pred(v1) = v2 & leq(v0, v2) = 0 & $i(v2)))
% 157.87/23.82
% 157.87/23.82 (leq_minus)
% 157.87/23.82 $i(n0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (minus(v0, v1) = v2) |
% 157.87/23.82 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (leq(v2, v0) = v3 &
% 157.87/23.82 leq(n0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 157.87/23.82
% 157.87/23.82 (leq_succ)
% 158.07/23.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 158.07/23.82 (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 158.07/23.82 int] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 158.07/23.82 (leq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : (succ(v1) = v2 &
% 158.07/23.82 leq(v0, v2) = 0 & $i(v2)))
% 158.07/23.82
% 158.07/23.82 (leq_succ_gt)
% 158.07/23.83 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ~
% 158.07/23.83 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & succ(v0) =
% 158.07/23.83 v3 & leq(v3, v1) = v4 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 158.07/23.83 : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | ~ $i(v1) | ~ $i(v0) | gt(v1,
% 158.07/23.83 v0) = 0)
% 158.07/23.83
% 158.07/23.83 (leq_succ_gt_equiv)
% 158.07/23.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 158.07/23.83 (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 158.07/23.83 int] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : !
% 158.07/23.83 [v2: int] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 158.07/23.83 $i] : ? [v4: int] : ( ~ (v4 = 0) & succ(v1) = v3 & gt(v3, v0) = v4 &
% 158.07/23.83 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (succ(v1) = v2) |
% 158.07/23.83 ~ (gt(v2, v0) = 0) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1) = 0) & ! [v0: $i]
% 158.07/23.83 : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 158.07/23.83 (succ(v1) = v2 & gt(v2, v0) = 0 & $i(v2)))
% 158.07/23.83
% 158.07/23.83 (leq_succ_succ)
% 158.07/23.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 158.07/23.84 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ~
% 158.07/23.84 $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & !
% 158.07/23.84 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (succ(v1) = v3) | ~
% 158.07/23.84 (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1)
% 158.07/23.84 = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1)
% 158.07/23.84 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] :
% 158.07/23.84 ( ~ (v5 = 0) & succ(v1) = v4 & succ(v0) = v3 & leq(v3, v4) = v5 & $i(v4) &
% 158.07/23.84 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) |
% 158.07/23.84 ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (succ(v1) = v3 & succ(v0) = v2 &
% 158.07/23.84 leq(v2, v3) = 0 & $i(v3) & $i(v2)))
% 158.07/23.84
% 158.07/23.84 (pred_minus_1)
% 158.15/23.84 $i(n1) & ! [v0: $i] : ! [v1: $i] : ( ~ (minus(v0, n1) = v1) | ~ $i(v0) |
% 158.15/23.84 (pred(v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (pred(v0) = v1)
% 158.15/23.84 | ~ $i(v0) | (minus(v0, n1) = v1 & $i(v1)))
% 158.15/23.84
% 158.15/23.84 (pred_succ)
% 158.15/23.84 ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | pred(v1) = v0)
% 158.15/23.84
% 158.15/23.84 (quaternion_ds1_symm_0007)
% 158.15/23.86 $i(id_ds1_filter) & $i(pminus_ds1_filter) & $i(r_ds1_filter) &
% 158.15/23.86 $i(q_ds1_filter) & $i(n6) & $i(n999) & $i(pv5) & $i(n3) & $i(n1) & $i(n0) & ?
% 158.15/23.86 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 158.15/23.86 int] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10:
% 158.15/23.86 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15:
% 158.15/23.86 int] : ? [v16: int] : ? [v17: int] : ? [v18: $i] : ? [v19: $i] : ?
% 158.15/23.86 [v20: $i] : ? [v21: $i] : ? [v22: int] : ? [v23: int] : ? [v24: int] : ?
% 158.15/23.86 [v25: int] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ?
% 158.15/23.86 [v30: int] : ? [v31: int] : ? [v32: int] : ? [v33: int] : ? [v34: $i] : ?
% 158.15/23.86 [v35: $i] : (minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(n3, n1) = v2 &
% 158.15/23.86 minus(n0, n1) = v3 & leq(pv5, v0) = 0 & leq(n0, pv5) = 0 & $i(v29) & $i(v28)
% 158.15/23.86 & $i(v21) & $i(v20) & $i(v13) & $i(v12) & $i(v7) & $i(v4) & $i(v3) & $i(v2)
% 158.15/23.86 & $i(v1) & $i(v0) & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~
% 158.15/23.86 (a_select3(pminus_ds1_filter, v37, v36) = v38) | ~ $i(v37) | ~ $i(v36) |
% 158.15/23.86 ? [v39: any] : ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43:
% 158.15/23.86 $i] : (a_select3(pminus_ds1_filter, v36, v37) = v43 & leq(v37, v1) = v42
% 158.15/23.86 & leq(v36, v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43)
% 158.15/23.86 & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 =
% 158.15/23.86 v38))) & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~
% 158.15/23.86 (a_select3(pminus_ds1_filter, v36, v37) = v38) | ~ $i(v37) | ~ $i(v36) |
% 158.15/23.86 ? [v39: any] : ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43:
% 158.15/23.86 $i] : (a_select3(pminus_ds1_filter, v37, v36) = v43 & leq(v37, v1) = v42
% 158.15/23.86 & leq(v36, v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43)
% 158.15/23.86 & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 =
% 158.15/23.86 v38))) & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~
% 158.15/23.86 (a_select3(r_ds1_filter, v37, v36) = v38) | ~ $i(v37) | ~ $i(v36) | ?
% 158.15/23.86 [v39: any] : ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43: $i]
% 158.15/23.86 : (a_select3(r_ds1_filter, v36, v37) = v43 & leq(v37, v2) = v42 & leq(v36,
% 158.15/23.86 v2) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43) & ( ~
% 158.15/23.86 (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38)))
% 158.15/23.86 & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~ (a_select3(r_ds1_filter,
% 158.15/23.86 v36, v37) = v38) | ~ $i(v37) | ~ $i(v36) | ? [v39: any] : ? [v40:
% 158.15/23.86 any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] :
% 158.15/23.86 (a_select3(r_ds1_filter, v37, v36) = v43 & leq(v37, v2) = v42 & leq(v36,
% 158.15/23.86 v2) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43) & ( ~
% 158.15/23.86 (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38)))
% 158.15/23.86 & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~ (a_select3(q_ds1_filter,
% 158.15/23.86 v37, v36) = v38) | ~ $i(v37) | ~ $i(v36) | ? [v39: any] : ? [v40:
% 158.15/23.86 any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] :
% 158.15/23.86 (a_select3(q_ds1_filter, v36, v37) = v43 & leq(v37, v1) = v42 & leq(v36,
% 158.15/23.86 v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43) & ( ~
% 158.15/23.86 (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38)))
% 158.15/23.86 & ! [v36: $i] : ! [v37: $i] : ! [v38: $i] : ( ~ (a_select3(q_ds1_filter,
% 158.15/23.86 v36, v37) = v38) | ~ $i(v37) | ~ $i(v36) | ? [v39: any] : ? [v40:
% 158.15/23.86 any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] :
% 158.15/23.86 (a_select3(q_ds1_filter, v37, v36) = v43 & leq(v37, v1) = v42 & leq(v36,
% 158.15/23.86 v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 & $i(v43) & ( ~
% 158.15/23.86 (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38)))
% 158.15/23.86 & ((v33 = 0 & v32 = 0 & v31 = 0 & v30 = 0 & ~ (v35 = v34) &
% 158.15/23.86 a_select3(q_ds1_filter, v29, v28) = v35 & a_select3(q_ds1_filter, v28,
% 158.15/23.86 v29) = v34 & leq(v29, v1) = 0 & leq(v28, v1) = 0 & leq(n0, v29) = 0 &
% 158.15/23.86 leq(n0, v28) = 0 & $i(v35) & $i(v34)) | (v25 = 0 & v24 = 0 & v23 = 0 &
% 158.15/23.86 v22 = 0 & ~ (v27 = v26) & a_select3(r_ds1_filter, v21, v20) = v27 &
% 158.15/23.86 a_select3(r_ds1_filter, v20, v21) = v26 & leq(v21, v2) = 0 & leq(v20,
% 158.15/23.86 v2) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0 & $i(v27) & $i(v26)) |
% 158.15/23.86 (v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v19 = v18) &
% 158.15/23.86 a_select3(pminus_ds1_filter, v13, v12) = v19 &
% 158.15/23.86 a_select3(pminus_ds1_filter, v12, v13) = v18 & leq(v13, v1) = 0 &
% 158.15/23.86 leq(v12, v1) = 0 & leq(n0, v13) = 0 & leq(n0, v12) = 0 & $i(v19) &
% 158.15/23.86 $i(v18)) | (v9 = 0 & v8 = 0 & v6 = 0 & v5 = 0 & ~ (v11 = v10) &
% 158.15/23.86 a_select3(id_ds1_filter, v7, v4) = v11 & a_select3(id_ds1_filter, v4,
% 158.15/23.86 v7) = v10 & leq(v7, v1) = 0 & leq(v4, v3) = 0 & leq(n0, v7) = 0 &
% 158.15/23.86 leq(n0, v4) = 0 & $i(v11) & $i(v10))))
% 158.15/23.86
% 158.15/23.86 (succ_plus_1_l)
% 158.15/23.86 $i(n1) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(n1, v0) = v1) | ~ $i(v0) |
% 158.15/23.86 (succ(v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1)
% 158.15/23.86 | ~ $i(v0) | (plus(n1, v0) = v1 & $i(v1)))
% 158.15/23.86
% 158.15/23.86 (succ_plus_1_r)
% 158.15/23.86 $i(n1) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(v0, n1) = v1) | ~ $i(v0) |
% 158.15/23.86 (succ(v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1)
% 158.15/23.86 | ~ $i(v0) | (plus(v0, n1) = v1 & $i(v1)))
% 158.15/23.86
% 158.15/23.86 (succ_plus_2_l)
% 158.15/23.86 $i(n2) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(n2, v0) = v1) | ~ $i(v0) | ?
% 158.15/23.86 [v2: $i] : (succ(v2) = v1 & succ(v0) = v2 & $i(v2) & $i(v1))) & ! [v0: $i]
% 158.15/23.86 : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : (plus(n2, v0)
% 158.15/23.86 = v2 & succ(v1) = v2 & $i(v2)))
% 158.15/23.86
% 158.15/23.86 (succ_plus_2_r)
% 158.15/23.86 $i(n2) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(v0, n2) = v1) | ~ $i(v0) | ?
% 158.15/23.86 [v2: $i] : (succ(v2) = v1 & succ(v0) = v2 & $i(v2) & $i(v1))) & ! [v0: $i]
% 158.15/23.86 : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : (plus(v0, n2)
% 158.15/23.86 = v2 & succ(v1) = v2 & $i(v2)))
% 158.15/23.86
% 158.15/23.86 (succ_plus_3_l)
% 158.15/23.86 $i(n3) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(n3, v0) = v1) | ~ $i(v0) | ?
% 158.15/23.86 [v2: $i] : ? [v3: $i] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2 &
% 158.15/23.86 $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) =
% 158.15/23.86 v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (plus(n3, v0) = v2 &
% 158.15/23.86 succ(v3) = v2 & succ(v1) = v3 & $i(v3) & $i(v2)))
% 158.15/23.86
% 158.15/23.86 (succ_plus_3_r)
% 158.15/23.87 $i(n3) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(v0, n3) = v1) | ~ $i(v0) | ?
% 158.15/23.87 [v2: $i] : ? [v3: $i] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2 &
% 158.15/23.87 $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) =
% 158.15/23.87 v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (plus(v0, n3) = v2 &
% 158.15/23.87 succ(v3) = v2 & succ(v1) = v3 & $i(v3) & $i(v2)))
% 158.15/23.87
% 158.15/23.87 (succ_plus_4_l)
% 158.15/23.87 $i(n4) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(n4, v0) = v1) | ~ $i(v0) | ?
% 158.15/23.87 [v2: $i] : ? [v3: $i] : ? [v4: $i] : (succ(v4) = v1 & succ(v3) = v4 &
% 158.15/23.87 succ(v2) = v3 & succ(v0) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1))) & !
% 158.15/23.87 [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 158.15/23.87 [v3: $i] : ? [v4: $i] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4
% 158.15/23.87 & succ(v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.87
% 158.15/23.87 (succ_plus_4_r)
% 158.15/23.87 $i(n4) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(v0, n4) = v1) | ~ $i(v0) | ?
% 158.15/23.87 [v2: $i] : ? [v3: $i] : ? [v4: $i] : (succ(v4) = v1 & succ(v3) = v4 &
% 158.15/23.87 succ(v2) = v3 & succ(v0) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1))) & !
% 158.15/23.87 [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 158.15/23.87 [v3: $i] : ? [v4: $i] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4
% 158.15/23.87 & succ(v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.87
% 158.15/23.87 (succ_plus_5_l)
% 158.15/23.87 $i(n5) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(n5, v0) = v1) | ~ $i(v0) | ?
% 158.15/23.87 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (succ(v5) = v1 &
% 158.15/23.87 succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2 & $i(v5) &
% 158.15/23.87 $i(v4) & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 158.15/23.87 (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 158.15/23.87 [v5: $i] : (plus(n5, v0) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) =
% 158.15/23.87 v4 & succ(v1) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.87
% 158.15/23.87 (succ_plus_5_r)
% 158.15/23.87 $i(n5) & ! [v0: $i] : ! [v1: $i] : ( ~ (plus(v0, n5) = v1) | ~ $i(v0) | ?
% 158.15/23.87 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (succ(v5) = v1 &
% 158.15/23.87 succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2 & $i(v5) &
% 158.15/23.87 $i(v4) & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 158.15/23.87 (succ(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 158.15/23.87 [v5: $i] : (plus(v0, n5) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) =
% 158.15/23.87 v4 & succ(v1) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.87
% 158.15/23.87 (succ_pred)
% 158.15/23.88 ! [v0: $i] : ! [v1: $i] : ( ~ (pred(v0) = v1) | ~ $i(v0) | succ(v1) = v0)
% 158.15/23.88
% 158.15/23.88 (succ_tptp_minus_1)
% 158.15/23.88 succ(tptp_minus_1) = n0 & $i(tptp_minus_1) & $i(n0)
% 158.15/23.88
% 158.15/23.88 (successor_1)
% 158.15/23.88 succ(n0) = n1 & $i(n1) & $i(n0)
% 158.15/23.88
% 158.15/23.88 (successor_2)
% 158.15/23.88 $i(n2) & $i(n0) & ? [v0: $i] : (succ(v0) = n2 & succ(n0) = v0 & $i(v0))
% 158.15/23.88
% 158.15/23.88 (successor_3)
% 158.15/23.88 $i(n3) & $i(n0) & ? [v0: $i] : ? [v1: $i] : (succ(v1) = n3 & succ(v0) = v1 &
% 158.15/23.88 succ(n0) = v0 & $i(v1) & $i(v0))
% 158.15/23.88
% 158.15/23.88 (successor_4)
% 158.15/23.88 $i(n4) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (succ(v2) = n4 &
% 158.15/23.88 succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0 & $i(v2) & $i(v1) & $i(v0))
% 158.15/23.88
% 158.15/23.88 (successor_5)
% 158.15/23.88 $i(n5) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 158.15/23.88 (succ(v3) = n5 & succ(v2) = v3 & succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0
% 158.15/23.88 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.15/23.88
% 158.15/23.88 (successor_6)
% 158.15/23.88 $i(n6) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 158.15/23.88 [v4: $i] : (succ(v4) = n6 & succ(v3) = v4 & succ(v2) = v3 & succ(v1) = v2 &
% 158.15/23.88 succ(v0) = v1 & succ(n0) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.15/23.88
% 158.15/23.88 (transitivity_leq)
% 158.15/23.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v1,
% 158.15/23.88 v2) = 0) | ~ (leq(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 158.15/23.88 ? [v4: int] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i]
% 158.15/23.88 : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0,
% 158.15/23.88 v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 =
% 158.15/23.88 0) & leq(v1, v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.15/23.88 (leq(v1, v2) = 0) | ~ (leq(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 158.15/23.88 | leq(v0, v2) = 0)
% 158.15/23.88
% 158.15/23.88 (function-axioms)
% 158.15/23.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 158.15/23.89 $i] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~
% 158.15/23.89 (tptp_update3(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 158.15/23.89 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) =
% 158.15/23.89 v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 158.15/23.89 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) |
% 158.15/23.89 ~ (sum(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.15/23.89 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) |
% 158.15/23.89 ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 158.15/23.89 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (a_select3(v4, v3, v2) =
% 158.15/23.89 v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 158.15/23.89 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3,
% 158.15/23.89 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 158.15/23.89 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0: $i] : !
% 158.15/23.89 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1)
% 158.15/23.89 | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 158.15/23.89 ! [v3: $i] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) =
% 158.15/23.89 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 158.15/23.89 ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0: $i] : !
% 158.15/23.89 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~
% 158.15/23.89 (dim(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 158.15/23.89 : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3,
% 158.15/23.89 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 158.15/23.89 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0:
% 158.15/23.89 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.15/23.89 (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & !
% 158.15/23.89 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 158.15/23.89 $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0:
% 158.15/23.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 158.15/23.89 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0:
% 158.15/23.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 158.15/23.89 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 158.15/23.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 158.15/23.89 : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: $i] : !
% 158.15/23.89 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) &
% 158.15/23.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (trans(v2) = v1) | ~
% 158.15/23.89 (trans(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 158.15/23.89 (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 158.15/23.89 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 158.15/23.89
% 158.15/23.89 Further assumptions not needed in the proof:
% 158.15/23.89 --------------------------------------------
% 158.15/23.89 const_array1_select, const_array2_select, defuse, finite_domain_1,
% 158.15/23.89 finite_domain_3, finite_domain_4, finite_domain_6, gt_4_0, gt_4_1, gt_4_2,
% 158.15/23.89 gt_4_3, gt_4_tptp_minus_1, gt_5_0, gt_5_1, gt_5_2, gt_5_3, gt_5_4,
% 158.15/23.89 gt_5_tptp_minus_1, gt_succ, leq_geq, lt_gt, matrix_symm_aba1, matrix_symm_aba2,
% 158.15/23.89 matrix_symm_add, matrix_symm_inv, matrix_symm_joseph_update, matrix_symm_sub,
% 158.15/23.89 matrix_symm_trans, matrix_symm_update_diagonal, reflexivity_leq, sel2_update_1,
% 158.15/23.89 sel2_update_2, sel2_update_3, sel3_update_1, sel3_update_2, sel3_update_3,
% 158.15/23.89 sum_plus_base, sum_plus_base_float, totality, transitivity_gt, ttrue,
% 158.15/23.89 uniform_int_rand_ranges_hi, uniform_int_rand_ranges_lo
% 158.15/23.89
% 158.15/23.89 Those formulas are unsatisfiable:
% 158.15/23.89 ---------------------------------
% 158.15/23.89
% 158.15/23.89 Begin of proof
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (transitivity_leq) implies:
% 158.15/23.90 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (leq(v1, v2) = 0) | ~
% 158.15/23.90 | (leq(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | leq(v0, v2) =
% 158.15/23.90 | 0)
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (leq_gt1) implies:
% 158.15/23.90 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (gt(v1, v0) = 0) | ~ $i(v1) | ~
% 158.15/23.90 | $i(v0) | leq(v0, v1) = 0)
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (leq_gt2) implies:
% 158.15/23.90 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ $i(v1)
% 158.15/23.90 | | ~ $i(v0) | gt(v1, v0) = 0)
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (leq_gt_pred) implies:
% 158.15/23.90 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (gt(v1, v0) = 0) | ~ $i(v1) | ~
% 158.15/23.90 | $i(v0) | ? [v2: $i] : (pred(v1) = v2 & leq(v0, v2) = 0 & $i(v2)))
% 158.15/23.90 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (pred(v1) = v2) | ~
% 158.15/23.90 | (leq(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | gt(v1, v0) = 0)
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (leq_succ) implies:
% 158.15/23.90 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~
% 158.15/23.90 | $i(v0) | ? [v2: $i] : (succ(v1) = v2 & leq(v0, v2) = 0 & $i(v2)))
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (leq_succ_gt_equiv) implies:
% 158.15/23.90 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~
% 158.15/23.90 | $i(v0) | ? [v2: $i] : (succ(v1) = v2 & gt(v2, v0) = 0 & $i(v2)))
% 158.15/23.90 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1) =
% 158.15/23.90 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4
% 158.15/23.90 | = 0) & succ(v1) = v3 & gt(v3, v0) = v4 & $i(v3)))
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (succ_tptp_minus_1) implies:
% 158.15/23.90 | (9) succ(tptp_minus_1) = n0
% 158.15/23.90 |
% 158.15/23.90 | ALPHA: (succ_plus_1_r) implies:
% 158.15/23.91 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) |
% 158.15/23.91 | (plus(v0, n1) = v1 & $i(v1)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_1_l) implies:
% 158.15/23.91 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) |
% 158.15/23.91 | (plus(n1, v0) = v1 & $i(v1)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_2_r) implies:
% 158.15/23.91 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : (plus(v0, n2) = v2 & succ(v1) = v2 & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_2_l) implies:
% 158.15/23.91 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : (plus(n2, v0) = v2 & succ(v1) = v2 & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_3_r) implies:
% 158.15/23.91 | (14) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : ? [v3: $i] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1)
% 158.15/23.91 | = v3 & $i(v3) & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_3_l) implies:
% 158.15/23.91 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : ? [v3: $i] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1)
% 158.15/23.91 | = v3 & $i(v3) & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_4_r) implies:
% 158.15/23.91 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : ? [v3: $i] : ? [v4: $i] : (plus(v0, n4) = v2 & succ(v4) =
% 158.15/23.91 | v2 & succ(v3) = v4 & succ(v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_4_l) implies:
% 158.15/23.91 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.15/23.91 | $i] : ? [v3: $i] : ? [v4: $i] : (plus(n4, v0) = v2 & succ(v4) =
% 158.15/23.91 | v2 & succ(v3) = v4 & succ(v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 158.15/23.91 |
% 158.15/23.91 | ALPHA: (succ_plus_5_r) implies:
% 158.53/23.91 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.53/23.91 | $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (plus(v0, n5) = v2
% 158.53/23.91 | & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3 &
% 158.53/23.91 | $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 158.53/23.91 |
% 158.53/23.91 | ALPHA: (succ_plus_5_l) implies:
% 158.53/23.91 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | ? [v2:
% 158.53/23.91 | $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (plus(n5, v0) = v2
% 158.53/23.91 | & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3 &
% 158.53/23.91 | $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 158.53/23.91 |
% 158.53/23.91 | ALPHA: (pred_minus_1) implies:
% 158.53/23.91 | (20) ! [v0: $i] : ! [v1: $i] : ( ~ (minus(v0, n1) = v1) | ~ $i(v0) |
% 158.53/23.91 | (pred(v0) = v1 & $i(v1)))
% 158.53/23.91 |
% 158.53/23.91 | ALPHA: (leq_succ_succ) implies:
% 158.53/23.92 | (21) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~
% 158.53/23.92 | $i(v0) | ? [v2: $i] : ? [v3: $i] : (succ(v1) = v3 & succ(v0) = v2
% 158.53/23.92 | & leq(v2, v3) = 0 & $i(v3) & $i(v2)))
% 158.53/23.92 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1) =
% 158.53/23.92 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 158.53/23.92 | int] : ( ~ (v5 = 0) & succ(v1) = v4 & succ(v0) = v3 & leq(v3, v4)
% 158.53/23.92 | = v5 & $i(v4) & $i(v3)))
% 158.53/23.92 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (succ(v1)
% 158.53/23.92 | = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | ~ $i(v1) | ~
% 158.53/23.92 | $i(v0) | leq(v0, v1) = 0)
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (leq_succ_gt) implies:
% 158.53/23.92 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (succ(v0) = v2) | ~
% 158.53/23.92 | (leq(v2, v1) = 0) | ~ $i(v1) | ~ $i(v0) | gt(v1, v0) = 0)
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (leq_minus) implies:
% 158.53/23.92 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (minus(v0, v1) = v2) |
% 158.53/23.92 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (leq(v2, v0) =
% 158.53/23.92 | v3 & leq(n0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_4) implies:
% 158.53/23.92 | (26) gt(n6, n4) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_4) implies:
% 158.53/23.92 | (27) gt(n999, n4) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_5) implies:
% 158.53/23.92 | (28) gt(n6, n5) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_5) implies:
% 158.53/23.92 | (29) gt(n999, n5) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_6) implies:
% 158.53/23.92 | (30) gt(n999, n6) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_tptp_minus_1) implies:
% 158.53/23.92 | (31) gt(n6, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_tptp_minus_1) implies:
% 158.53/23.92 | (32) gt(n999, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_0_tptp_minus_1) implies:
% 158.53/23.92 | (33) gt(n0, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_1_tptp_minus_1) implies:
% 158.53/23.92 | (34) gt(n1, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_2_tptp_minus_1) implies:
% 158.53/23.92 | (35) gt(n2, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_3_tptp_minus_1) implies:
% 158.53/23.92 | (36) $i(tptp_minus_1)
% 158.53/23.92 | (37) gt(n3, tptp_minus_1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_0) implies:
% 158.53/23.92 | (38) gt(n6, n0) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_0) implies:
% 158.53/23.92 | (39) gt(n999, n0) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_1_0) implies:
% 158.53/23.92 | (40) gt(n1, n0) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_2_0) implies:
% 158.53/23.92 | (41) gt(n2, n0) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_3_0) implies:
% 158.53/23.92 | (42) gt(n3, n0) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_1) implies:
% 158.53/23.92 | (43) gt(n6, n1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_1) implies:
% 158.53/23.92 | (44) gt(n999, n1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_2_1) implies:
% 158.53/23.92 | (45) gt(n2, n1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_3_1) implies:
% 158.53/23.92 | (46) gt(n3, n1) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_2) implies:
% 158.53/23.92 | (47) gt(n6, n2) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_999_2) implies:
% 158.53/23.92 | (48) gt(n999, n2) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_3_2) implies:
% 158.53/23.92 | (49) gt(n3, n2) = 0
% 158.53/23.92 |
% 158.53/23.92 | ALPHA: (gt_6_3) implies:
% 158.53/23.93 | (50) gt(n6, n3) = 0
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (gt_999_3) implies:
% 158.53/23.93 | (51) gt(n999, n3) = 0
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (finite_domain_5) implies:
% 158.53/23.93 | (52) ! [v0: $i] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 =
% 158.53/23.93 | n0 | ~ (leq(v0, n5) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 158.53/23.93 | & leq(n0, v0) = v1))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (finite_domain_0) implies:
% 158.53/23.93 | (53) ! [v0: $i] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ~ $i(v0) | ? [v1:
% 158.53/23.93 | int] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 158.53/23.93 | (54) ! [v0: $i] : (v0 = n0 | ~ (leq(v0, n0) = 0) | ~ $i(v0) | ? [v1:
% 158.53/23.93 | int] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (finite_domain_2) implies:
% 158.53/23.93 | (55) ! [v0: $i] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ~
% 158.53/23.93 | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & leq(v0, n2) = v1))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_4) implies:
% 158.53/23.93 | (56) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (succ(v2) = n4 & succ(v1) =
% 158.53/23.93 | v2 & succ(v0) = v1 & succ(n0) = v0 & $i(v2) & $i(v1) & $i(v0))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_5) implies:
% 158.53/23.93 | (57) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (succ(v3) = n5
% 158.53/23.93 | & succ(v2) = v3 & succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0 &
% 158.53/23.93 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_6) implies:
% 158.53/23.93 | (58) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.53/23.93 | (succ(v4) = n6 & succ(v3) = v4 & succ(v2) = v3 & succ(v1) = v2 &
% 158.53/23.93 | succ(v0) = v1 & succ(n0) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 158.53/23.93 | $i(v0))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_1) implies:
% 158.53/23.93 | (59) succ(n0) = n1
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_2) implies:
% 158.53/23.93 | (60) ? [v0: $i] : (succ(v0) = n2 & succ(n0) = v0 & $i(v0))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (successor_3) implies:
% 158.53/23.93 | (61) ? [v0: $i] : ? [v1: $i] : (succ(v1) = n3 & succ(v0) = v1 & succ(n0)
% 158.53/23.93 | = v0 & $i(v1) & $i(v0))
% 158.53/23.93 |
% 158.53/23.93 | ALPHA: (quaternion_ds1_symm_0007) implies:
% 158.53/23.93 | (62) $i(n0)
% 158.53/23.93 | (63) $i(pv5)
% 158.53/23.93 | (64) $i(n999)
% 158.53/23.93 | (65) $i(n6)
% 158.53/23.94 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.53/23.94 | ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? [v9: int]
% 158.53/23.94 | : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 158.53/23.94 | int] : ? [v15: int] : ? [v16: int] : ? [v17: int] : ? [v18: $i]
% 158.53/23.94 | : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: int] : ?
% 158.53/23.94 | [v23: int] : ? [v24: int] : ? [v25: int] : ? [v26: $i] : ? [v27:
% 158.53/23.95 | $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: int] : ? [v31: int] :
% 158.53/23.95 | ? [v32: int] : ? [v33: int] : ? [v34: $i] : ? [v35: $i] :
% 158.53/23.95 | (minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(n3, n1) = v2 &
% 158.53/23.95 | minus(n0, n1) = v3 & leq(pv5, v0) = 0 & leq(n0, pv5) = 0 & $i(v29) &
% 158.53/23.95 | $i(v28) & $i(v21) & $i(v20) & $i(v13) & $i(v12) & $i(v7) & $i(v4) &
% 158.53/23.95 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v36: $i] : ! [v37: $i] : !
% 158.53/23.95 | [v38: $i] : ( ~ (a_select3(pminus_ds1_filter, v37, v36) = v38) | ~
% 158.53/23.95 | $i(v37) | ~ $i(v36) | ? [v39: any] : ? [v40: any] : ? [v41:
% 158.53/23.95 | any] : ? [v42: any] : ? [v43: $i] :
% 158.53/23.95 | (a_select3(pminus_ds1_filter, v36, v37) = v43 & leq(v37, v1) = v42
% 158.53/23.95 | & leq(v36, v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 &
% 158.53/23.95 | $i(v43) & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39
% 158.53/23.95 | = 0) | v43 = v38))) & ! [v36: $i] : ! [v37: $i] : ! [v38:
% 158.53/23.95 | $i] : ( ~ (a_select3(pminus_ds1_filter, v36, v37) = v38) | ~
% 158.53/23.95 | $i(v37) | ~ $i(v36) | ? [v39: any] : ? [v40: any] : ? [v41:
% 158.53/23.95 | any] : ? [v42: any] : ? [v43: $i] :
% 158.53/23.95 | (a_select3(pminus_ds1_filter, v37, v36) = v43 & leq(v37, v1) = v42
% 158.53/23.95 | & leq(v36, v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 &
% 158.53/23.95 | $i(v43) & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39
% 158.53/23.95 | = 0) | v43 = v38))) & ! [v36: $i] : ! [v37: $i] : ! [v38:
% 158.53/23.95 | $i] : ( ~ (a_select3(r_ds1_filter, v37, v36) = v38) | ~ $i(v37) |
% 158.53/23.95 | ~ $i(v36) | ? [v39: any] : ? [v40: any] : ? [v41: any] : ?
% 158.53/23.95 | [v42: any] : ? [v43: $i] : (a_select3(r_ds1_filter, v36, v37) =
% 158.53/23.95 | v43 & leq(v37, v2) = v42 & leq(v36, v2) = v41 & leq(n0, v37) =
% 158.53/23.95 | v40 & leq(n0, v36) = v39 & $i(v43) & ( ~ (v42 = 0) | ~ (v41 =
% 158.53/23.95 | 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38))) & ! [v36:
% 158.53/23.95 | $i] : ! [v37: $i] : ! [v38: $i] : ( ~ (a_select3(r_ds1_filter,
% 158.53/23.95 | v36, v37) = v38) | ~ $i(v37) | ~ $i(v36) | ? [v39: any] :
% 158.53/23.95 | ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] :
% 158.53/23.95 | (a_select3(r_ds1_filter, v37, v36) = v43 & leq(v37, v2) = v42 &
% 158.53/23.95 | leq(v36, v2) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 &
% 158.53/23.95 | $i(v43) & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39
% 158.53/23.95 | = 0) | v43 = v38))) & ! [v36: $i] : ! [v37: $i] : ! [v38:
% 158.53/23.95 | $i] : ( ~ (a_select3(q_ds1_filter, v37, v36) = v38) | ~ $i(v37) |
% 158.53/23.95 | ~ $i(v36) | ? [v39: any] : ? [v40: any] : ? [v41: any] : ?
% 158.53/23.95 | [v42: any] : ? [v43: $i] : (a_select3(q_ds1_filter, v36, v37) =
% 158.53/23.95 | v43 & leq(v37, v1) = v42 & leq(v36, v1) = v41 & leq(n0, v37) =
% 158.53/23.95 | v40 & leq(n0, v36) = v39 & $i(v43) & ( ~ (v42 = 0) | ~ (v41 =
% 158.53/23.95 | 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38))) & ! [v36:
% 158.53/23.95 | $i] : ! [v37: $i] : ! [v38: $i] : ( ~ (a_select3(q_ds1_filter,
% 158.53/23.95 | v36, v37) = v38) | ~ $i(v37) | ~ $i(v36) | ? [v39: any] :
% 158.53/23.95 | ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] :
% 158.53/23.95 | (a_select3(q_ds1_filter, v37, v36) = v43 & leq(v37, v1) = v42 &
% 158.53/23.95 | leq(v36, v1) = v41 & leq(n0, v37) = v40 & leq(n0, v36) = v39 &
% 158.53/23.95 | $i(v43) & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39
% 158.53/23.95 | = 0) | v43 = v38))) & ((v33 = 0 & v32 = 0 & v31 = 0 & v30 =
% 158.53/23.95 | 0 & ~ (v35 = v34) & a_select3(q_ds1_filter, v29, v28) = v35 &
% 158.53/23.95 | a_select3(q_ds1_filter, v28, v29) = v34 & leq(v29, v1) = 0 &
% 158.53/23.95 | leq(v28, v1) = 0 & leq(n0, v29) = 0 & leq(n0, v28) = 0 & $i(v35)
% 158.53/23.95 | & $i(v34)) | (v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 =
% 158.53/23.95 | v26) & a_select3(r_ds1_filter, v21, v20) = v27 &
% 158.53/23.95 | a_select3(r_ds1_filter, v20, v21) = v26 & leq(v21, v2) = 0 &
% 158.53/23.95 | leq(v20, v2) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0 & $i(v27)
% 158.53/23.95 | & $i(v26)) | (v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v19 =
% 158.53/23.95 | v18) & a_select3(pminus_ds1_filter, v13, v12) = v19 &
% 158.53/23.95 | a_select3(pminus_ds1_filter, v12, v13) = v18 & leq(v13, v1) = 0
% 158.53/23.95 | & leq(v12, v1) = 0 & leq(n0, v13) = 0 & leq(n0, v12) = 0 &
% 158.53/23.95 | $i(v19) & $i(v18)) | (v9 = 0 & v8 = 0 & v6 = 0 & v5 = 0 & ~
% 158.53/23.95 | (v11 = v10) & a_select3(id_ds1_filter, v7, v4) = v11 &
% 158.53/23.95 | a_select3(id_ds1_filter, v4, v7) = v10 & leq(v7, v1) = 0 &
% 158.53/23.95 | leq(v4, v3) = 0 & leq(n0, v7) = 0 & leq(n0, v4) = 0 & $i(v11) &
% 158.53/23.95 | $i(v10))))
% 158.53/23.95 |
% 158.53/23.95 | ALPHA: (function-axioms) implies:
% 158.53/23.95 | (67) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) =
% 158.53/23.95 | v1) | ~ (pred(v2) = v0))
% 158.53/23.95 | (68) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) =
% 158.53/23.95 | v1) | ~ (succ(v2) = v0))
% 158.53/23.95 | (69) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 158.53/23.95 | : ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) =
% 158.53/23.95 | v0))
% 158.53/23.95 | (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.53/23.95 | (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 158.53/23.95 | (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 158.53/23.95 | (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2)
% 158.53/23.95 | = v0))
% 158.53/23.95 |
% 158.53/23.95 | DELTA: instantiating (60) with fresh symbol all_50_0 gives:
% 158.53/23.95 | (72) succ(all_50_0) = n2 & succ(n0) = all_50_0 & $i(all_50_0)
% 158.53/23.95 |
% 158.53/23.95 | ALPHA: (72) implies:
% 158.53/23.95 | (73) $i(all_50_0)
% 158.53/23.95 | (74) succ(n0) = all_50_0
% 158.53/23.95 | (75) succ(all_50_0) = n2
% 158.53/23.95 |
% 158.53/23.95 | DELTA: instantiating (61) with fresh symbols all_52_0, all_52_1 gives:
% 158.53/23.95 | (76) succ(all_52_0) = n3 & succ(all_52_1) = all_52_0 & succ(n0) = all_52_1
% 158.53/23.95 | & $i(all_52_0) & $i(all_52_1)
% 158.53/23.95 |
% 158.53/23.95 | ALPHA: (76) implies:
% 158.53/23.95 | (77) $i(all_52_0)
% 158.53/23.95 | (78) succ(n0) = all_52_1
% 158.53/23.95 | (79) succ(all_52_1) = all_52_0
% 158.53/23.95 | (80) succ(all_52_0) = n3
% 158.53/23.95 |
% 158.53/23.95 | DELTA: instantiating (56) with fresh symbols all_54_0, all_54_1, all_54_2
% 158.53/23.95 | gives:
% 158.53/23.95 | (81) succ(all_54_0) = n4 & succ(all_54_1) = all_54_0 & succ(all_54_2) =
% 158.53/23.95 | all_54_1 & succ(n0) = all_54_2 & $i(all_54_0) & $i(all_54_1) &
% 158.53/23.95 | $i(all_54_2)
% 158.53/23.95 |
% 158.53/23.95 | ALPHA: (81) implies:
% 158.53/23.95 | (82) $i(all_54_0)
% 158.53/23.95 | (83) succ(n0) = all_54_2
% 158.53/23.95 | (84) succ(all_54_2) = all_54_1
% 158.53/23.95 | (85) succ(all_54_1) = all_54_0
% 158.53/23.95 | (86) succ(all_54_0) = n4
% 158.53/23.95 |
% 158.53/23.95 | DELTA: instantiating (57) with fresh symbols all_56_0, all_56_1, all_56_2,
% 158.53/23.95 | all_56_3 gives:
% 158.53/23.95 | (87) succ(all_56_0) = n5 & succ(all_56_1) = all_56_0 & succ(all_56_2) =
% 158.53/23.95 | all_56_1 & succ(all_56_3) = all_56_2 & succ(n0) = all_56_3 &
% 158.53/23.95 | $i(all_56_0) & $i(all_56_1) & $i(all_56_2) & $i(all_56_3)
% 158.53/23.95 |
% 158.53/23.95 | ALPHA: (87) implies:
% 158.53/23.95 | (88) $i(all_56_0)
% 158.53/23.95 | (89) succ(n0) = all_56_3
% 158.53/23.95 | (90) succ(all_56_3) = all_56_2
% 158.53/23.95 | (91) succ(all_56_2) = all_56_1
% 158.53/23.95 | (92) succ(all_56_1) = all_56_0
% 158.53/23.95 | (93) succ(all_56_0) = n5
% 158.53/23.96 |
% 158.53/23.96 | DELTA: instantiating (58) with fresh symbols all_58_0, all_58_1, all_58_2,
% 158.53/23.96 | all_58_3, all_58_4 gives:
% 158.53/23.96 | (94) succ(all_58_0) = n6 & succ(all_58_1) = all_58_0 & succ(all_58_2) =
% 158.53/23.96 | all_58_1 & succ(all_58_3) = all_58_2 & succ(all_58_4) = all_58_3 &
% 158.53/23.96 | succ(n0) = all_58_4 & $i(all_58_0) & $i(all_58_1) & $i(all_58_2) &
% 158.53/23.96 | $i(all_58_3) & $i(all_58_4)
% 158.53/23.96 |
% 158.53/23.96 | ALPHA: (94) implies:
% 158.53/23.96 | (95) $i(all_58_0)
% 158.53/23.96 | (96) succ(n0) = all_58_4
% 158.53/23.96 | (97) succ(all_58_4) = all_58_3
% 158.53/23.96 | (98) succ(all_58_3) = all_58_2
% 158.53/23.96 | (99) succ(all_58_2) = all_58_1
% 158.53/23.96 | (100) succ(all_58_1) = all_58_0
% 158.53/23.96 | (101) succ(all_58_0) = n6
% 158.53/23.96 |
% 158.53/23.96 | DELTA: instantiating (66) with fresh symbols all_96_0, all_96_1, all_96_2,
% 158.53/23.96 | all_96_3, all_96_4, all_96_5, all_96_6, all_96_7, all_96_8, all_96_9,
% 158.53/23.96 | all_96_10, all_96_11, all_96_12, all_96_13, all_96_14, all_96_15,
% 158.53/23.96 | all_96_16, all_96_17, all_96_18, all_96_19, all_96_20, all_96_21,
% 158.53/23.96 | all_96_22, all_96_23, all_96_24, all_96_25, all_96_26, all_96_27,
% 158.53/23.96 | all_96_28, all_96_29, all_96_30, all_96_31, all_96_32, all_96_33,
% 158.53/23.96 | all_96_34, all_96_35 gives:
% 158.53/23.96 | (102) minus(n6, n1) = all_96_34 & minus(n999, n1) = all_96_35 & minus(n3,
% 158.53/23.96 | n1) = all_96_33 & minus(n0, n1) = all_96_32 & leq(pv5, all_96_35) =
% 158.53/23.96 | 0 & leq(n0, pv5) = 0 & $i(all_96_6) & $i(all_96_7) & $i(all_96_14) &
% 158.53/23.96 | $i(all_96_15) & $i(all_96_22) & $i(all_96_23) & $i(all_96_28) &
% 158.53/23.96 | $i(all_96_31) & $i(all_96_32) & $i(all_96_33) & $i(all_96_34) &
% 158.53/23.96 | $i(all_96_35) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.53/23.96 | (a_select3(pminus_ds1_filter, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 158.53/23.97 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ?
% 158.53/23.97 | [v7: $i] : (a_select3(pminus_ds1_filter, v0, v1) = v7 & leq(v1,
% 158.53/23.97 | all_96_34) = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 &
% 158.53/23.97 | leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 =
% 158.53/23.97 | 0) | ~ (v3 = 0) | v7 = v2))) & ! [v0: $i] : ! [v1: $i] :
% 158.53/23.97 | ! [v2: $i] : ( ~ (a_select3(pminus_ds1_filter, v0, v1) = v2) | ~
% 158.53/23.97 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 158.53/23.97 | ? [v6: any] : ? [v7: $i] : (a_select3(pminus_ds1_filter, v1, v0) =
% 158.53/23.97 | v7 & leq(v1, all_96_34) = v6 & leq(v0, all_96_34) = v5 & leq(n0,
% 158.53/23.97 | v1) = v4 & leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 =
% 158.53/23.97 | 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2))) & ! [v0: $i] :
% 158.53/23.97 | ! [v1: $i] : ! [v2: $i] : ( ~ (a_select3(r_ds1_filter, v1, v0) = v2)
% 158.53/23.97 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 158.53/23.97 | any] : ? [v6: any] : ? [v7: $i] : (a_select3(r_ds1_filter, v0,
% 158.53/23.97 | v1) = v7 & leq(v1, all_96_33) = v6 & leq(v0, all_96_33) = v5 &
% 158.53/23.97 | leq(n0, v1) = v4 & leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0) | ~
% 158.53/23.97 | (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2))) & ! [v0: $i]
% 158.53/23.97 | : ! [v1: $i] : ! [v2: $i] : ( ~ (a_select3(r_ds1_filter, v0, v1) =
% 158.53/23.97 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 158.53/23.97 | [v5: any] : ? [v6: any] : ? [v7: $i] : (a_select3(r_ds1_filter,
% 158.53/23.97 | v1, v0) = v7 & leq(v1, all_96_33) = v6 & leq(v0, all_96_33) =
% 158.53/23.97 | v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0)
% 158.53/23.97 | | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2))) & !
% 158.53/23.97 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (a_select3(q_ds1_filter,
% 158.53/23.97 | v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 158.53/23.97 | any] : ? [v5: any] : ? [v6: any] : ? [v7: $i] :
% 158.53/23.97 | (a_select3(q_ds1_filter, v0, v1) = v7 & leq(v1, all_96_34) = v6 &
% 158.53/23.97 | leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 &
% 158.53/23.97 | $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 158.53/23.97 | v7 = v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.53/23.97 | (a_select3(q_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 158.53/23.97 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 158.53/23.97 | $i] : (a_select3(q_ds1_filter, v1, v0) = v7 & leq(v1, all_96_34)
% 158.53/23.97 | = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 & leq(n0, v0) =
% 158.53/23.97 | v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 158.53/23.97 | 0) | v7 = v2))) & ((all_96_2 = 0 & all_96_3 = 0 & all_96_4 =
% 158.53/23.97 | 0 & all_96_5 = 0 & ~ (all_96_0 = all_96_1) &
% 158.53/23.97 | a_select3(q_ds1_filter, all_96_6, all_96_7) = all_96_0 &
% 158.53/23.97 | a_select3(q_ds1_filter, all_96_7, all_96_6) = all_96_1 &
% 158.53/23.97 | leq(all_96_6, all_96_34) = 0 & leq(all_96_7, all_96_34) = 0 &
% 158.53/23.97 | leq(n0, all_96_6) = 0 & leq(n0, all_96_7) = 0 & $i(all_96_0) &
% 158.53/23.97 | $i(all_96_1)) | (all_96_10 = 0 & all_96_11 = 0 & all_96_12 = 0 &
% 158.53/23.97 | all_96_13 = 0 & ~ (all_96_8 = all_96_9) &
% 158.53/23.97 | a_select3(r_ds1_filter, all_96_14, all_96_15) = all_96_8 &
% 158.53/23.97 | a_select3(r_ds1_filter, all_96_15, all_96_14) = all_96_9 &
% 158.53/23.97 | leq(all_96_14, all_96_33) = 0 & leq(all_96_15, all_96_33) = 0 &
% 158.53/23.97 | leq(n0, all_96_14) = 0 & leq(n0, all_96_15) = 0 & $i(all_96_8) &
% 158.53/23.97 | $i(all_96_9)) | (all_96_18 = 0 & all_96_19 = 0 & all_96_20 = 0 &
% 158.53/23.97 | all_96_21 = 0 & ~ (all_96_16 = all_96_17) &
% 158.53/23.97 | a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_96_16 &
% 158.53/23.97 | a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_96_17 &
% 158.53/23.97 | leq(all_96_22, all_96_34) = 0 & leq(all_96_23, all_96_34) = 0 &
% 158.53/23.97 | leq(n0, all_96_22) = 0 & leq(n0, all_96_23) = 0 & $i(all_96_16) &
% 158.53/23.97 | $i(all_96_17)) | (all_96_26 = 0 & all_96_27 = 0 & all_96_29 = 0 &
% 158.53/23.97 | all_96_30 = 0 & ~ (all_96_24 = all_96_25) &
% 158.53/23.97 | a_select3(id_ds1_filter, all_96_28, all_96_31) = all_96_24 &
% 158.53/23.97 | a_select3(id_ds1_filter, all_96_31, all_96_28) = all_96_25 &
% 158.53/23.97 | leq(all_96_28, all_96_34) = 0 & leq(all_96_31, all_96_32) = 0 &
% 158.53/23.97 | leq(n0, all_96_28) = 0 & leq(n0, all_96_31) = 0 & $i(all_96_24) &
% 158.53/23.97 | $i(all_96_25)))
% 158.53/23.97 |
% 158.53/23.97 | ALPHA: (102) implies:
% 158.53/23.97 | (103) $i(all_96_35)
% 158.53/23.97 | (104) $i(all_96_31)
% 158.53/23.97 | (105) $i(all_96_28)
% 158.53/23.97 | (106) $i(all_96_23)
% 158.53/23.97 | (107) $i(all_96_22)
% 158.53/23.97 | (108) $i(all_96_15)
% 158.53/23.97 | (109) $i(all_96_14)
% 158.53/23.97 | (110) $i(all_96_7)
% 158.53/23.97 | (111) $i(all_96_6)
% 158.53/23.97 | (112) leq(n0, pv5) = 0
% 158.53/23.97 | (113) leq(pv5, all_96_35) = 0
% 158.53/23.97 | (114) minus(n0, n1) = all_96_32
% 158.53/23.97 | (115) minus(n3, n1) = all_96_33
% 158.53/23.97 | (116) minus(n999, n1) = all_96_35
% 158.53/23.97 | (117) minus(n6, n1) = all_96_34
% 158.53/23.97 | (118) (all_96_2 = 0 & all_96_3 = 0 & all_96_4 = 0 & all_96_5 = 0 & ~
% 158.53/23.97 | (all_96_0 = all_96_1) & a_select3(q_ds1_filter, all_96_6, all_96_7)
% 158.53/23.97 | = all_96_0 & a_select3(q_ds1_filter, all_96_7, all_96_6) = all_96_1
% 158.53/23.97 | & leq(all_96_6, all_96_34) = 0 & leq(all_96_7, all_96_34) = 0 &
% 158.53/23.97 | leq(n0, all_96_6) = 0 & leq(n0, all_96_7) = 0 & $i(all_96_0) &
% 158.53/23.97 | $i(all_96_1)) | (all_96_10 = 0 & all_96_11 = 0 & all_96_12 = 0 &
% 158.53/23.97 | all_96_13 = 0 & ~ (all_96_8 = all_96_9) & a_select3(r_ds1_filter,
% 158.53/23.97 | all_96_14, all_96_15) = all_96_8 & a_select3(r_ds1_filter,
% 158.53/23.97 | all_96_15, all_96_14) = all_96_9 & leq(all_96_14, all_96_33) = 0
% 158.53/23.97 | & leq(all_96_15, all_96_33) = 0 & leq(n0, all_96_14) = 0 & leq(n0,
% 158.53/23.97 | all_96_15) = 0 & $i(all_96_8) & $i(all_96_9)) | (all_96_18 = 0 &
% 158.53/23.97 | all_96_19 = 0 & all_96_20 = 0 & all_96_21 = 0 & ~ (all_96_16 =
% 158.53/23.97 | all_96_17) & a_select3(pminus_ds1_filter, all_96_22, all_96_23) =
% 158.53/23.97 | all_96_16 & a_select3(pminus_ds1_filter, all_96_23, all_96_22) =
% 158.53/23.97 | all_96_17 & leq(all_96_22, all_96_34) = 0 & leq(all_96_23,
% 158.53/23.97 | all_96_34) = 0 & leq(n0, all_96_22) = 0 & leq(n0, all_96_23) = 0
% 158.53/23.97 | & $i(all_96_16) & $i(all_96_17)) | (all_96_26 = 0 & all_96_27 = 0 &
% 158.53/23.97 | all_96_29 = 0 & all_96_30 = 0 & ~ (all_96_24 = all_96_25) &
% 158.53/23.97 | a_select3(id_ds1_filter, all_96_28, all_96_31) = all_96_24 &
% 158.53/23.97 | a_select3(id_ds1_filter, all_96_31, all_96_28) = all_96_25 &
% 158.53/23.97 | leq(all_96_28, all_96_34) = 0 & leq(all_96_31, all_96_32) = 0 &
% 158.53/23.97 | leq(n0, all_96_28) = 0 & leq(n0, all_96_31) = 0 & $i(all_96_24) &
% 158.53/23.97 | $i(all_96_25))
% 158.82/23.97 | (119) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.97 | (a_select3(q_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 158.82/23.97 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 158.82/23.97 | $i] : (a_select3(q_ds1_filter, v1, v0) = v7 & leq(v1, all_96_34)
% 158.82/23.97 | = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 & leq(n0, v0) =
% 158.82/23.97 | v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 158.82/23.97 | 0) | v7 = v2)))
% 158.82/23.97 | (120) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.97 | (a_select3(q_ds1_filter, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 158.82/23.97 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 158.82/23.97 | $i] : (a_select3(q_ds1_filter, v0, v1) = v7 & leq(v1, all_96_34)
% 158.82/23.97 | = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 & leq(n0, v0) =
% 158.82/23.97 | v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 158.82/23.97 | 0) | v7 = v2)))
% 158.82/23.97 | (121) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.97 | (a_select3(r_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 158.82/23.97 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 158.82/23.97 | $i] : (a_select3(r_ds1_filter, v1, v0) = v7 & leq(v1, all_96_33)
% 158.82/23.97 | = v6 & leq(v0, all_96_33) = v5 & leq(n0, v1) = v4 & leq(n0, v0) =
% 158.82/23.97 | v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 158.82/23.97 | 0) | v7 = v2)))
% 158.82/23.97 | (122) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.97 | (a_select3(r_ds1_filter, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 158.82/23.97 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 158.82/23.97 | $i] : (a_select3(r_ds1_filter, v0, v1) = v7 & leq(v1, all_96_33)
% 158.82/23.98 | = v6 & leq(v0, all_96_33) = v5 & leq(n0, v1) = v4 & leq(n0, v0) =
% 158.82/23.98 | v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 158.82/23.98 | 0) | v7 = v2)))
% 158.82/23.98 | (123) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.98 | (a_select3(pminus_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 158.82/23.98 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ?
% 158.82/23.98 | [v7: $i] : (a_select3(pminus_ds1_filter, v1, v0) = v7 & leq(v1,
% 158.82/23.98 | all_96_34) = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 &
% 158.82/23.98 | leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 =
% 158.82/23.98 | 0) | ~ (v3 = 0) | v7 = v2)))
% 158.82/23.98 | (124) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.82/23.98 | (a_select3(pminus_ds1_filter, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 158.82/23.98 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ?
% 158.82/23.98 | [v7: $i] : (a_select3(pminus_ds1_filter, v0, v1) = v7 & leq(v1,
% 158.82/23.98 | all_96_34) = v6 & leq(v0, all_96_34) = v5 & leq(n0, v1) = v4 &
% 158.82/23.98 | leq(n0, v0) = v3 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 =
% 158.82/23.98 | 0) | ~ (v3 = 0) | v7 = v2)))
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_54_2, all_56_3, n0, simplifying with
% 158.82/23.98 | (83), (89) gives:
% 158.82/23.98 | (125) all_56_3 = all_54_2
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_52_1, all_56_3, n0, simplifying with
% 158.82/23.98 | (78), (89) gives:
% 158.82/23.98 | (126) all_56_3 = all_52_1
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_50_0, all_56_3, n0, simplifying with
% 158.82/23.98 | (74), (89) gives:
% 158.82/23.98 | (127) all_56_3 = all_50_0
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_54_2, all_58_4, n0, simplifying with
% 158.82/23.98 | (83), (96) gives:
% 158.82/23.98 | (128) all_58_4 = all_54_2
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with n1, all_58_4, n0, simplifying with (59),
% 158.82/23.98 | (96) gives:
% 158.82/23.98 | (129) all_58_4 = n1
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (128), (129) imply:
% 158.82/23.98 | (130) all_54_2 = n1
% 158.82/23.98 |
% 158.82/23.98 | SIMP: (130) implies:
% 158.82/23.98 | (131) all_54_2 = n1
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (125), (126) imply:
% 158.82/23.98 | (132) all_54_2 = all_52_1
% 158.82/23.98 |
% 158.82/23.98 | SIMP: (132) implies:
% 158.82/23.98 | (133) all_54_2 = all_52_1
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (126), (127) imply:
% 158.82/23.98 | (134) all_52_1 = all_50_0
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (131), (133) imply:
% 158.82/23.98 | (135) all_52_1 = n1
% 158.82/23.98 |
% 158.82/23.98 | SIMP: (135) implies:
% 158.82/23.98 | (136) all_52_1 = n1
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (134), (136) imply:
% 158.82/23.98 | (137) all_50_0 = n1
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (126), (136) imply:
% 158.82/23.98 | (138) all_56_3 = n1
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (97), (129) imply:
% 158.82/23.98 | (139) succ(n1) = all_58_3
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (90), (138) imply:
% 158.82/23.98 | (140) succ(n1) = all_56_2
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (84), (131) imply:
% 158.82/23.98 | (141) succ(n1) = all_54_1
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (79), (136) imply:
% 158.82/23.98 | (142) succ(n1) = all_52_0
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (75), (137) imply:
% 158.82/23.98 | (143) succ(n1) = n2
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (73), (137) imply:
% 158.82/23.98 | (144) $i(n1)
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_54_1, all_56_2, n1, simplifying with
% 158.82/23.98 | (140), (141) gives:
% 158.82/23.98 | (145) all_56_2 = all_54_1
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_52_0, all_56_2, n1, simplifying with
% 158.82/23.98 | (140), (142) gives:
% 158.82/23.98 | (146) all_56_2 = all_52_0
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_56_2, all_58_3, n1, simplifying with
% 158.82/23.98 | (139), (140) gives:
% 158.82/23.98 | (147) all_58_3 = all_56_2
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with n2, all_58_3, n1, simplifying with (139),
% 158.82/23.98 | (143) gives:
% 158.82/23.98 | (148) all_58_3 = n2
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (147), (148) imply:
% 158.82/23.98 | (149) all_56_2 = n2
% 158.82/23.98 |
% 158.82/23.98 | SIMP: (149) implies:
% 158.82/23.98 | (150) all_56_2 = n2
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (145), (146) imply:
% 158.82/23.98 | (151) all_54_1 = all_52_0
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (145), (150) imply:
% 158.82/23.98 | (152) all_54_1 = n2
% 158.82/23.98 |
% 158.82/23.98 | COMBINE_EQS: (151), (152) imply:
% 158.82/23.98 | (153) all_52_0 = n2
% 158.82/23.98 |
% 158.82/23.98 | SIMP: (153) implies:
% 158.82/23.98 | (154) all_52_0 = n2
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (98), (148) imply:
% 158.82/23.98 | (155) succ(n2) = all_58_2
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (91), (150) imply:
% 158.82/23.98 | (156) succ(n2) = all_56_1
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (85), (152) imply:
% 158.82/23.98 | (157) succ(n2) = all_54_0
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (80), (154) imply:
% 158.82/23.98 | (158) succ(n2) = n3
% 158.82/23.98 |
% 158.82/23.98 | REDUCE: (77), (154) imply:
% 158.82/23.98 | (159) $i(n2)
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_54_0, all_56_1, n2, simplifying with
% 158.82/23.98 | (156), (157) gives:
% 158.82/23.98 | (160) all_56_1 = all_54_0
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with all_56_1, all_58_2, n2, simplifying with
% 158.82/23.98 | (155), (156) gives:
% 158.82/23.98 | (161) all_58_2 = all_56_1
% 158.82/23.98 |
% 158.82/23.98 | GROUND_INST: instantiating (68) with n3, all_58_2, n2, simplifying with (155),
% 158.82/23.98 | (158) gives:
% 158.82/23.98 | (162) all_58_2 = n3
% 158.82/23.98 |
% 158.82/23.99 | COMBINE_EQS: (161), (162) imply:
% 158.82/23.99 | (163) all_56_1 = n3
% 158.82/23.99 |
% 158.82/23.99 | SIMP: (163) implies:
% 158.82/23.99 | (164) all_56_1 = n3
% 158.82/23.99 |
% 158.82/23.99 | COMBINE_EQS: (160), (164) imply:
% 158.82/23.99 | (165) all_54_0 = n3
% 158.82/23.99 |
% 158.82/23.99 | SIMP: (165) implies:
% 158.82/23.99 | (166) all_54_0 = n3
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (99), (162) imply:
% 158.82/23.99 | (167) succ(n3) = all_58_1
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (92), (164) imply:
% 158.82/23.99 | (168) succ(n3) = all_56_0
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (86), (166) imply:
% 158.82/23.99 | (169) succ(n3) = n4
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (82), (166) imply:
% 158.82/23.99 | (170) $i(n3)
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (68) with all_56_0, all_58_1, n3, simplifying with
% 158.82/23.99 | (167), (168) gives:
% 158.82/23.99 | (171) all_58_1 = all_56_0
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (68) with n4, all_58_1, n3, simplifying with (167),
% 158.82/23.99 | (169) gives:
% 158.82/23.99 | (172) all_58_1 = n4
% 158.82/23.99 |
% 158.82/23.99 | COMBINE_EQS: (171), (172) imply:
% 158.82/23.99 | (173) all_56_0 = n4
% 158.82/23.99 |
% 158.82/23.99 | SIMP: (173) implies:
% 158.82/23.99 | (174) all_56_0 = n4
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (100), (172) imply:
% 158.82/23.99 | (175) succ(n4) = all_58_0
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (93), (174) imply:
% 158.82/23.99 | (176) succ(n4) = n5
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (88), (174) imply:
% 158.82/23.99 | (177) $i(n4)
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (68) with n5, all_58_0, n4, simplifying with (175),
% 158.82/23.99 | (176) gives:
% 158.82/23.99 | (178) all_58_0 = n5
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (101), (178) imply:
% 158.82/23.99 | (179) succ(n5) = n6
% 158.82/23.99 |
% 158.82/23.99 | REDUCE: (95), (178) imply:
% 158.82/23.99 | (180) $i(n5)
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with tptp_minus_1, n0, simplifying with (33),
% 158.82/23.99 | (36), (62) gives:
% 158.82/23.99 | (181) ? [v0: $i] : (pred(n0) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n0, n1, simplifying with (40), (62), (144)
% 158.82/23.99 | gives:
% 158.82/23.99 | (182) ? [v0: $i] : (pred(n1) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with tptp_minus_1, n1, simplifying with (34),
% 158.82/23.99 | (36), (144) gives:
% 158.82/23.99 | (183) ? [v0: $i] : (pred(n1) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n0, n2, simplifying with (41), (62), (159)
% 158.82/23.99 | gives:
% 158.82/23.99 | (184) ? [v0: $i] : (pred(n2) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with tptp_minus_1, n2, simplifying with (35),
% 158.82/23.99 | (36), (159) gives:
% 158.82/23.99 | (185) ? [v0: $i] : (pred(n2) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n1, n2, simplifying with (45), (144),
% 158.82/23.99 | (159) gives:
% 158.82/23.99 | (186) ? [v0: $i] : (pred(n2) = v0 & leq(n1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n0, n3, simplifying with (42), (62), (170)
% 158.82/23.99 | gives:
% 158.82/23.99 | (187) ? [v0: $i] : (pred(n3) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with tptp_minus_1, n3, simplifying with (36),
% 158.82/23.99 | (37), (170) gives:
% 158.82/23.99 | (188) ? [v0: $i] : (pred(n3) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n1, n3, simplifying with (46), (144),
% 158.82/23.99 | (170) gives:
% 158.82/23.99 | (189) ? [v0: $i] : (pred(n3) = v0 & leq(n1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n2, n3, simplifying with (49), (159),
% 158.82/23.99 | (170) gives:
% 158.82/23.99 | (190) ? [v0: $i] : (pred(n3) = v0 & leq(n2, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (2) with n0, n999, simplifying with (39), (62),
% 158.82/23.99 | (64) gives:
% 158.82/23.99 | (191) leq(n0, n999) = 0
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n0, n999, simplifying with (39), (62),
% 158.82/23.99 | (64) gives:
% 158.82/23.99 | (192) ? [v0: $i] : (pred(n999) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (2) with tptp_minus_1, n999, simplifying with (32),
% 158.82/23.99 | (36), (64) gives:
% 158.82/23.99 | (193) leq(tptp_minus_1, n999) = 0
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with tptp_minus_1, n999, simplifying with (32),
% 158.82/23.99 | (36), (64) gives:
% 158.82/23.99 | (194) ? [v0: $i] : (pred(n999) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (2) with n1, n999, simplifying with (44), (64),
% 158.82/23.99 | (144) gives:
% 158.82/23.99 | (195) leq(n1, n999) = 0
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n1, n999, simplifying with (44), (64),
% 158.82/23.99 | (144) gives:
% 158.82/23.99 | (196) ? [v0: $i] : (pred(n999) = v0 & leq(n1, v0) = 0 & $i(v0))
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (2) with n2, n999, simplifying with (48), (64),
% 158.82/23.99 | (159) gives:
% 158.82/23.99 | (197) leq(n2, n999) = 0
% 158.82/23.99 |
% 158.82/23.99 | GROUND_INST: instantiating (4) with n2, n999, simplifying with (48), (64),
% 158.82/23.99 | (159) gives:
% 158.82/24.00 | (198) ? [v0: $i] : (pred(n999) = v0 & leq(n2, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n3, n999, simplifying with (51), (64),
% 158.82/24.00 | (170) gives:
% 158.82/24.00 | (199) leq(n3, n999) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n3, n999, simplifying with (51), (64),
% 158.82/24.00 | (170) gives:
% 158.82/24.00 | (200) ? [v0: $i] : (pred(n999) = v0 & leq(n3, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n4, n999, simplifying with (27), (64),
% 158.82/24.00 | (177) gives:
% 158.82/24.00 | (201) leq(n4, n999) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n4, n999, simplifying with (27), (64),
% 158.82/24.00 | (177) gives:
% 158.82/24.00 | (202) ? [v0: $i] : (pred(n999) = v0 & leq(n4, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n5, n999, simplifying with (29), (64),
% 158.82/24.00 | (180) gives:
% 158.82/24.00 | (203) leq(n5, n999) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n5, n999, simplifying with (29), (64),
% 158.82/24.00 | (180) gives:
% 158.82/24.00 | (204) ? [v0: $i] : (pred(n999) = v0 & leq(n5, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n6, n999, simplifying with (30), (64),
% 158.82/24.00 | (65) gives:
% 158.82/24.00 | (205) leq(n6, n999) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n6, n999, simplifying with (30), (64),
% 158.82/24.00 | (65) gives:
% 158.82/24.00 | (206) ? [v0: $i] : (pred(n999) = v0 & leq(n6, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n0, n6, simplifying with (38), (62), (65)
% 158.82/24.00 | gives:
% 158.82/24.00 | (207) leq(n0, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n0, n6, simplifying with (38), (62), (65)
% 158.82/24.00 | gives:
% 158.82/24.00 | (208) ? [v0: $i] : (pred(n6) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with tptp_minus_1, n6, simplifying with (31),
% 158.82/24.00 | (36), (65) gives:
% 158.82/24.00 | (209) leq(tptp_minus_1, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with tptp_minus_1, n6, simplifying with (31),
% 158.82/24.00 | (36), (65) gives:
% 158.82/24.00 | (210) ? [v0: $i] : (pred(n6) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n1, n6, simplifying with (43), (65), (144)
% 158.82/24.00 | gives:
% 158.82/24.00 | (211) leq(n1, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n1, n6, simplifying with (43), (65), (144)
% 158.82/24.00 | gives:
% 158.82/24.00 | (212) ? [v0: $i] : (pred(n6) = v0 & leq(n1, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n2, n6, simplifying with (47), (65), (159)
% 158.82/24.00 | gives:
% 158.82/24.00 | (213) leq(n2, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n2, n6, simplifying with (47), (65), (159)
% 158.82/24.00 | gives:
% 158.82/24.00 | (214) ? [v0: $i] : (pred(n6) = v0 & leq(n2, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n3, n6, simplifying with (50), (65), (170)
% 158.82/24.00 | gives:
% 158.82/24.00 | (215) leq(n3, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n3, n6, simplifying with (50), (65), (170)
% 158.82/24.00 | gives:
% 158.82/24.00 | (216) ? [v0: $i] : (pred(n6) = v0 & leq(n3, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n4, n6, simplifying with (26), (65), (177)
% 158.82/24.00 | gives:
% 158.82/24.00 | (217) leq(n4, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n4, n6, simplifying with (26), (65), (177)
% 158.82/24.00 | gives:
% 158.82/24.00 | (218) ? [v0: $i] : (pred(n6) = v0 & leq(n4, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (2) with n5, n6, simplifying with (28), (65), (180)
% 158.82/24.00 | gives:
% 158.82/24.00 | (219) leq(n5, n6) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (4) with n5, n6, simplifying with (28), (65), (180)
% 158.82/24.00 | gives:
% 158.82/24.00 | (220) ? [v0: $i] : (pred(n6) = v0 & leq(n5, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (55) with pv5, simplifying with (63), (112) gives:
% 158.82/24.00 | (221) pv5 = n2 | pv5 = n1 | pv5 = n0 | ? [v0: int] : ( ~ (v0 = 0) &
% 158.82/24.00 | leq(pv5, n2) = v0)
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (53) with pv5, simplifying with (63), (112) gives:
% 158.82/24.00 | (222) pv5 = n0 | ? [v0: int] : ( ~ (v0 = 0) & leq(pv5, n0) = v0)
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (3) with n0, pv5, simplifying with (62), (63),
% 158.82/24.00 | (112) gives:
% 158.82/24.00 | (223) pv5 = n0 | gt(pv5, n0) = 0
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (21) with n0, pv5, simplifying with (62), (63),
% 158.82/24.00 | (112) gives:
% 158.82/24.00 | (224) ? [v0: $i] : ? [v1: $i] : (succ(pv5) = v1 & succ(n0) = v0 & leq(v0,
% 158.82/24.00 | v1) = 0 & $i(v1) & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (6) with n0, pv5, simplifying with (62), (63),
% 158.82/24.00 | (112) gives:
% 158.82/24.00 | (225) ? [v0: $i] : (succ(pv5) = v0 & leq(n0, v0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (7) with n0, pv5, simplifying with (62), (63),
% 158.82/24.00 | (112) gives:
% 158.82/24.00 | (226) ? [v0: $i] : (succ(pv5) = v0 & gt(v0, n0) = 0 & $i(v0))
% 158.82/24.00 |
% 158.82/24.00 | GROUND_INST: instantiating (21) with pv5, all_96_35, simplifying with (63),
% 158.82/24.00 | (103), (113) gives:
% 158.82/24.01 | (227) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(pv5) = v0 &
% 158.82/24.01 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (6) with pv5, all_96_35, simplifying with (63),
% 158.82/24.01 | (103), (113) gives:
% 158.82/24.01 | (228) ? [v0: $i] : (succ(all_96_35) = v0 & leq(pv5, v0) = 0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (7) with pv5, all_96_35, simplifying with (63),
% 158.82/24.01 | (103), (113) gives:
% 158.82/24.01 | (229) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, pv5) = 0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (pred_succ) with n0, n1, simplifying with (59),
% 158.82/24.01 | (62) gives:
% 158.82/24.01 | (230) pred(n1) = n0
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (18) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (231) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n0, n5)
% 158.82/24.01 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n1) =
% 158.82/24.01 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (19) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (232) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n0)
% 158.82/24.01 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n1) =
% 158.82/24.01 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (16) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (233) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n0, n4) = v0 &
% 158.82/24.01 | succ(v2) = v0 & succ(v1) = v2 & succ(n1) = v1 & $i(v2) & $i(v1) &
% 158.82/24.01 | $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (17) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (234) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n0) = v0 &
% 158.82/24.01 | succ(v2) = v0 & succ(v1) = v2 & succ(n1) = v1 & $i(v2) & $i(v1) &
% 158.82/24.01 | $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (14) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (235) ? [v0: $i] : ? [v1: $i] : (plus(n0, n3) = v0 & succ(v1) = v0 &
% 158.82/24.01 | succ(n1) = v1 & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (15) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (236) ? [v0: $i] : ? [v1: $i] : (plus(n3, n0) = v0 & succ(v1) = v0 &
% 158.82/24.01 | succ(n1) = v1 & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (12) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (237) ? [v0: $i] : (plus(n0, n2) = v0 & succ(n1) = v0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (13) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (238) ? [v0: $i] : (plus(n2, n0) = v0 & succ(n1) = v0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (11) with n0, n1, simplifying with (59), (62)
% 158.82/24.01 | gives:
% 158.82/24.01 | (239) plus(n1, n0) = n1 & $i(n1)
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (24) with tptp_minus_1, pv5, n0, simplifying with
% 158.82/24.01 | (9), (36), (63), (112) gives:
% 158.82/24.01 | (240) gt(pv5, tptp_minus_1) = 0
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (pred_succ) with tptp_minus_1, n0, simplifying with
% 158.82/24.01 | (9), (36) gives:
% 158.82/24.01 | (241) pred(n0) = tptp_minus_1
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (18) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (242) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 158.82/24.01 | (plus(tptp_minus_1, n5) = v0 & succ(v3) = v0 & succ(v2) = v3 &
% 158.82/24.01 | succ(v1) = v2 & succ(n0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (19) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (243) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5,
% 158.82/24.01 | tptp_minus_1) = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) =
% 158.82/24.01 | v2 & succ(n0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (16) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (244) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(tptp_minus_1, n4) =
% 158.82/24.01 | v0 & succ(v2) = v0 & succ(v1) = v2 & succ(n0) = v1 & $i(v2) &
% 158.82/24.01 | $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (17) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (245) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, tptp_minus_1) =
% 158.82/24.01 | v0 & succ(v2) = v0 & succ(v1) = v2 & succ(n0) = v1 & $i(v2) &
% 158.82/24.01 | $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (14) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (246) ? [v0: $i] : ? [v1: $i] : (plus(tptp_minus_1, n3) = v0 & succ(v1) =
% 158.82/24.01 | v0 & succ(n0) = v1 & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (15) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (247) ? [v0: $i] : ? [v1: $i] : (plus(n3, tptp_minus_1) = v0 & succ(v1) =
% 158.82/24.01 | v0 & succ(n0) = v1 & $i(v1) & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (12) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (248) ? [v0: $i] : (plus(tptp_minus_1, n2) = v0 & succ(n0) = v0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (13) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (249) ? [v0: $i] : (plus(n2, tptp_minus_1) = v0 & succ(n0) = v0 & $i(v0))
% 158.82/24.01 |
% 158.82/24.01 | GROUND_INST: instantiating (11) with tptp_minus_1, n0, simplifying with (9),
% 158.82/24.01 | (36) gives:
% 158.82/24.01 | (250) plus(n1, tptp_minus_1) = n0 & $i(n0)
% 158.82/24.01 |
% 158.82/24.02 | GROUND_INST: instantiating (pred_succ) with n1, n2, simplifying with (143),
% 158.82/24.02 | (144) gives:
% 158.82/24.02 | (251) pred(n2) = n1
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (18) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (252) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n1, n5)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n2) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (19) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (253) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n1)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n2) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (16) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (254) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n1, n4) = v0 &
% 158.82/24.02 | succ(v2) = v0 & succ(v1) = v2 & succ(n2) = v1 & $i(v2) & $i(v1) &
% 158.82/24.02 | $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (17) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (255) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n1) = v0 &
% 158.82/24.02 | succ(v2) = v0 & succ(v1) = v2 & succ(n2) = v1 & $i(v2) & $i(v1) &
% 158.82/24.02 | $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (14) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (256) ? [v0: $i] : ? [v1: $i] : (plus(n1, n3) = v0 & succ(v1) = v0 &
% 158.82/24.02 | succ(n2) = v1 & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (15) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (257) ? [v0: $i] : ? [v1: $i] : (plus(n3, n1) = v0 & succ(v1) = v0 &
% 158.82/24.02 | succ(n2) = v1 & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (12) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (258) ? [v0: $i] : (plus(n1, n2) = v0 & succ(n2) = v0 & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (13) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (259) ? [v0: $i] : (plus(n2, n1) = v0 & succ(n2) = v0 & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (10) with n1, n2, simplifying with (143), (144)
% 158.82/24.02 | gives:
% 158.82/24.02 | (260) plus(n1, n1) = n2 & $i(n2)
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (pred_succ) with n2, n3, simplifying with (158),
% 158.82/24.02 | (159) gives:
% 158.82/24.02 | (261) pred(n3) = n2
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (18) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (262) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n2, n5)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n3) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (19) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (263) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n2)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n3) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (16) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (264) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n2, n4) = v0 &
% 158.82/24.02 | succ(v2) = v0 & succ(v1) = v2 & succ(n3) = v1 & $i(v2) & $i(v1) &
% 158.82/24.02 | $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (17) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (265) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n2) = v0 &
% 158.82/24.02 | succ(v2) = v0 & succ(v1) = v2 & succ(n3) = v1 & $i(v2) & $i(v1) &
% 158.82/24.02 | $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (14) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (266) ? [v0: $i] : ? [v1: $i] : (plus(n2, n3) = v0 & succ(v1) = v0 &
% 158.82/24.02 | succ(n3) = v1 & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (15) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (267) ? [v0: $i] : ? [v1: $i] : (plus(n3, n2) = v0 & succ(v1) = v0 &
% 158.82/24.02 | succ(n3) = v1 & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (12) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (268) ? [v0: $i] : (plus(n2, n2) = v0 & succ(n3) = v0 & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (11) with n2, n3, simplifying with (158), (159)
% 158.82/24.02 | gives:
% 158.82/24.02 | (269) plus(n1, n2) = n3 & $i(n3)
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (18) with n3, n4, simplifying with (169), (170)
% 158.82/24.02 | gives:
% 158.82/24.02 | (270) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n3, n5)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n4) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (19) with n3, n4, simplifying with (169), (170)
% 158.82/24.02 | gives:
% 158.82/24.02 | (271) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n3)
% 158.82/24.02 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n4) =
% 158.82/24.02 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (16) with n3, n4, simplifying with (169), (170)
% 158.82/24.02 | gives:
% 158.82/24.02 | (272) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n3, n4) = v0 &
% 158.82/24.02 | succ(v2) = v0 & succ(v1) = v2 & succ(n4) = v1 & $i(v2) & $i(v1) &
% 158.82/24.02 | $i(v0))
% 158.82/24.02 |
% 158.82/24.02 | GROUND_INST: instantiating (17) with n3, n4, simplifying with (169), (170)
% 158.82/24.02 | gives:
% 158.82/24.03 | (273) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n3) = v0 &
% 158.82/24.03 | succ(v2) = v0 & succ(v1) = v2 & succ(n4) = v1 & $i(v2) & $i(v1) &
% 158.82/24.03 | $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (14) with n3, n4, simplifying with (169), (170)
% 158.82/24.03 | gives:
% 158.82/24.03 | (274) ? [v0: $i] : ? [v1: $i] : (plus(n3, n3) = v0 & succ(v1) = v0 &
% 158.82/24.03 | succ(n4) = v1 & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (12) with n3, n4, simplifying with (169), (170)
% 158.82/24.03 | gives:
% 158.82/24.03 | (275) ? [v0: $i] : (plus(n3, n2) = v0 & succ(n4) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (13) with n3, n4, simplifying with (169), (170)
% 158.82/24.03 | gives:
% 158.82/24.03 | (276) ? [v0: $i] : (plus(n2, n3) = v0 & succ(n4) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (11) with n3, n4, simplifying with (169), (170)
% 158.82/24.03 | gives:
% 158.82/24.03 | (277) plus(n1, n3) = n4 & $i(n4)
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (18) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (278) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n4, n5)
% 158.82/24.03 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n5) =
% 158.82/24.03 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (19) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (279) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n4)
% 158.82/24.03 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n5) =
% 158.82/24.03 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (16) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (280) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n4) = v0 &
% 158.82/24.03 | succ(v2) = v0 & succ(v1) = v2 & succ(n5) = v1 & $i(v2) & $i(v1) &
% 158.82/24.03 | $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (14) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (281) ? [v0: $i] : ? [v1: $i] : (plus(n4, n3) = v0 & succ(v1) = v0 &
% 158.82/24.03 | succ(n5) = v1 & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (15) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (282) ? [v0: $i] : ? [v1: $i] : (plus(n3, n4) = v0 & succ(v1) = v0 &
% 158.82/24.03 | succ(n5) = v1 & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (12) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (283) ? [v0: $i] : (plus(n4, n2) = v0 & succ(n5) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (13) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (284) ? [v0: $i] : (plus(n2, n4) = v0 & succ(n5) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (11) with n4, n5, simplifying with (176), (177)
% 158.82/24.03 | gives:
% 158.82/24.03 | (285) plus(n1, n4) = n5 & $i(n5)
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (pred_succ) with n5, n6, simplifying with (179),
% 158.82/24.03 | (180) gives:
% 158.82/24.03 | (286) pred(n6) = n5
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (18) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (287) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5, n5)
% 158.82/24.03 | = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 & succ(n6) =
% 158.82/24.03 | v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (16) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (288) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n5, n4) = v0 &
% 158.82/24.03 | succ(v2) = v0 & succ(v1) = v2 & succ(n6) = v1 & $i(v2) & $i(v1) &
% 158.82/24.03 | $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (17) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (289) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, n5) = v0 &
% 158.82/24.03 | succ(v2) = v0 & succ(v1) = v2 & succ(n6) = v1 & $i(v2) & $i(v1) &
% 158.82/24.03 | $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (14) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (290) ? [v0: $i] : ? [v1: $i] : (plus(n5, n3) = v0 & succ(v1) = v0 &
% 158.82/24.03 | succ(n6) = v1 & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (15) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (291) ? [v0: $i] : ? [v1: $i] : (plus(n3, n5) = v0 & succ(v1) = v0 &
% 158.82/24.03 | succ(n6) = v1 & $i(v1) & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (12) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (292) ? [v0: $i] : (plus(n5, n2) = v0 & succ(n6) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (13) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (293) ? [v0: $i] : (plus(n2, n5) = v0 & succ(n6) = v0 & $i(v0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (11) with n5, n6, simplifying with (179), (180)
% 158.82/24.03 | gives:
% 158.82/24.03 | (294) plus(n1, n5) = n6 & $i(n6)
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (20) with n0, all_96_32, simplifying with (62),
% 158.82/24.03 | (114) gives:
% 158.82/24.03 | (295) pred(n0) = all_96_32 & $i(all_96_32)
% 158.82/24.03 |
% 158.82/24.03 | ALPHA: (295) implies:
% 158.82/24.03 | (296) $i(all_96_32)
% 158.82/24.03 | (297) pred(n0) = all_96_32
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (25) with n0, n1, all_96_32, simplifying with (62),
% 158.82/24.03 | (114), (144) gives:
% 158.82/24.03 | (298) ? [v0: any] : ? [v1: any] : (leq(all_96_32, n0) = v0 & leq(n0, n1)
% 158.82/24.03 | = v1 & ( ~ (v0 = 0) | v1 = 0))
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (20) with n3, all_96_33, simplifying with (115),
% 158.82/24.03 | (170) gives:
% 158.82/24.03 | (299) pred(n3) = all_96_33 & $i(all_96_33)
% 158.82/24.03 |
% 158.82/24.03 | ALPHA: (299) implies:
% 158.82/24.03 | (300) pred(n3) = all_96_33
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (20) with n999, all_96_35, simplifying with (64),
% 158.82/24.03 | (116) gives:
% 158.82/24.03 | (301) pred(n999) = all_96_35 & $i(all_96_35)
% 158.82/24.03 |
% 158.82/24.03 | ALPHA: (301) implies:
% 158.82/24.03 | (302) pred(n999) = all_96_35
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (20) with n6, all_96_34, simplifying with (65),
% 158.82/24.03 | (117) gives:
% 158.82/24.03 | (303) pred(n6) = all_96_34 & $i(all_96_34)
% 158.82/24.03 |
% 158.82/24.03 | ALPHA: (303) implies:
% 158.82/24.03 | (304) pred(n6) = all_96_34
% 158.82/24.03 |
% 158.82/24.03 | GROUND_INST: instantiating (25) with n6, n1, all_96_34, simplifying with (65),
% 158.82/24.03 | (117), (144) gives:
% 158.82/24.03 | (305) ? [v0: any] : ? [v1: any] : (leq(all_96_34, n6) = v0 & leq(n0, n1)
% 158.82/24.03 | = v1 & ( ~ (v0 = 0) | v1 = 0))
% 158.82/24.03 |
% 158.82/24.04 | DELTA: instantiating (212) with fresh symbol all_125_0 gives:
% 158.82/24.04 | (306) pred(n6) = all_125_0 & leq(n1, all_125_0) = 0 & $i(all_125_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (306) implies:
% 158.82/24.04 | (307) pred(n6) = all_125_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (216) with fresh symbol all_127_0 gives:
% 158.82/24.04 | (308) pred(n6) = all_127_0 & leq(n3, all_127_0) = 0 & $i(all_127_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (308) implies:
% 158.82/24.04 | (309) pred(n6) = all_127_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (292) with fresh symbol all_129_0 gives:
% 158.82/24.04 | (310) plus(n5, n2) = all_129_0 & succ(n6) = all_129_0 & $i(all_129_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (310) implies:
% 158.82/24.04 | (311) succ(n6) = all_129_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (214) with fresh symbol all_131_0 gives:
% 158.82/24.04 | (312) pred(n6) = all_131_0 & leq(n2, all_131_0) = 0 & $i(all_131_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (312) implies:
% 158.82/24.04 | (313) pred(n6) = all_131_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (183) with fresh symbol all_137_0 gives:
% 158.82/24.04 | (314) pred(n1) = all_137_0 & leq(tptp_minus_1, all_137_0) = 0 &
% 158.82/24.04 | $i(all_137_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (314) implies:
% 158.82/24.04 | (315) $i(all_137_0)
% 158.82/24.04 | (316) leq(tptp_minus_1, all_137_0) = 0
% 158.82/24.04 | (317) pred(n1) = all_137_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (190) with fresh symbol all_141_0 gives:
% 158.82/24.04 | (318) pred(n3) = all_141_0 & leq(n2, all_141_0) = 0 & $i(all_141_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (318) implies:
% 158.82/24.04 | (319) pred(n3) = all_141_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (189) with fresh symbol all_143_0 gives:
% 158.82/24.04 | (320) pred(n3) = all_143_0 & leq(n1, all_143_0) = 0 & $i(all_143_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (320) implies:
% 158.82/24.04 | (321) pred(n3) = all_143_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (182) with fresh symbol all_149_0 gives:
% 158.82/24.04 | (322) pred(n1) = all_149_0 & leq(n0, all_149_0) = 0 & $i(all_149_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (322) implies:
% 158.82/24.04 | (323) pred(n1) = all_149_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (210) with fresh symbol all_151_0 gives:
% 158.82/24.04 | (324) pred(n6) = all_151_0 & leq(tptp_minus_1, all_151_0) = 0 &
% 158.82/24.04 | $i(all_151_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (324) implies:
% 158.82/24.04 | (325) pred(n6) = all_151_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (181) with fresh symbol all_153_0 gives:
% 158.82/24.04 | (326) pred(n0) = all_153_0 & leq(tptp_minus_1, all_153_0) = 0 &
% 158.82/24.04 | $i(all_153_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (326) implies:
% 158.82/24.04 | (327) pred(n0) = all_153_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (268) with fresh symbol all_157_0 gives:
% 158.82/24.04 | (328) plus(n2, n2) = all_157_0 & succ(n3) = all_157_0 & $i(all_157_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (328) implies:
% 158.82/24.04 | (329) succ(n3) = all_157_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (259) with fresh symbol all_159_0 gives:
% 158.82/24.04 | (330) plus(n2, n1) = all_159_0 & succ(n2) = all_159_0 & $i(all_159_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (330) implies:
% 158.82/24.04 | (331) succ(n2) = all_159_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (258) with fresh symbol all_161_0 gives:
% 158.82/24.04 | (332) plus(n1, n2) = all_161_0 & succ(n2) = all_161_0 & $i(all_161_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (332) implies:
% 158.82/24.04 | (333) succ(n2) = all_161_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (185) with fresh symbol all_163_0 gives:
% 158.82/24.04 | (334) pred(n2) = all_163_0 & leq(tptp_minus_1, all_163_0) = 0 &
% 158.82/24.04 | $i(all_163_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (334) implies:
% 158.82/24.04 | (335) $i(all_163_0)
% 158.82/24.04 | (336) pred(n2) = all_163_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (184) with fresh symbol all_165_0 gives:
% 158.82/24.04 | (337) pred(n2) = all_165_0 & leq(n0, all_165_0) = 0 & $i(all_165_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (337) implies:
% 158.82/24.04 | (338) pred(n2) = all_165_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (276) with fresh symbol all_169_0 gives:
% 158.82/24.04 | (339) plus(n2, n3) = all_169_0 & succ(n4) = all_169_0 & $i(all_169_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (339) implies:
% 158.82/24.04 | (340) succ(n4) = all_169_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (202) with fresh symbol all_171_0 gives:
% 158.82/24.04 | (341) pred(n999) = all_171_0 & leq(n4, all_171_0) = 0 & $i(all_171_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (341) implies:
% 158.82/24.04 | (342) $i(all_171_0)
% 158.82/24.04 | (343) leq(n4, all_171_0) = 0
% 158.82/24.04 | (344) pred(n999) = all_171_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (188) with fresh symbol all_173_0 gives:
% 158.82/24.04 | (345) pred(n3) = all_173_0 & leq(tptp_minus_1, all_173_0) = 0 &
% 158.82/24.04 | $i(all_173_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (345) implies:
% 158.82/24.04 | (346) pred(n3) = all_173_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (229) with fresh symbol all_177_0 gives:
% 158.82/24.04 | (347) succ(all_96_35) = all_177_0 & gt(all_177_0, pv5) = 0 & $i(all_177_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (347) implies:
% 158.82/24.04 | (348) succ(all_96_35) = all_177_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (293) with fresh symbol all_181_0 gives:
% 158.82/24.04 | (349) plus(n2, n5) = all_181_0 & succ(n6) = all_181_0 & $i(all_181_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (349) implies:
% 158.82/24.04 | (350) succ(n6) = all_181_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (220) with fresh symbol all_183_0 gives:
% 158.82/24.04 | (351) pred(n6) = all_183_0 & leq(n5, all_183_0) = 0 & $i(all_183_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (351) implies:
% 158.82/24.04 | (352) pred(n6) = all_183_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (204) with fresh symbol all_185_0 gives:
% 158.82/24.04 | (353) pred(n999) = all_185_0 & leq(n5, all_185_0) = 0 & $i(all_185_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (353) implies:
% 158.82/24.04 | (354) leq(n5, all_185_0) = 0
% 158.82/24.04 | (355) pred(n999) = all_185_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (226) with fresh symbol all_187_0 gives:
% 158.82/24.04 | (356) succ(pv5) = all_187_0 & gt(all_187_0, n0) = 0 & $i(all_187_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (356) implies:
% 158.82/24.04 | (357) gt(all_187_0, n0) = 0
% 158.82/24.04 | (358) succ(pv5) = all_187_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (284) with fresh symbol all_189_0 gives:
% 158.82/24.04 | (359) plus(n2, n4) = all_189_0 & succ(n5) = all_189_0 & $i(all_189_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (359) implies:
% 158.82/24.04 | (360) succ(n5) = all_189_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (283) with fresh symbol all_191_0 gives:
% 158.82/24.04 | (361) plus(n4, n2) = all_191_0 & succ(n5) = all_191_0 & $i(all_191_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (361) implies:
% 158.82/24.04 | (362) succ(n5) = all_191_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (186) with fresh symbol all_195_0 gives:
% 158.82/24.04 | (363) pred(n2) = all_195_0 & leq(n1, all_195_0) = 0 & $i(all_195_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (363) implies:
% 158.82/24.04 | (364) pred(n2) = all_195_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (187) with fresh symbol all_197_0 gives:
% 158.82/24.04 | (365) pred(n3) = all_197_0 & leq(n0, all_197_0) = 0 & $i(all_197_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (365) implies:
% 158.82/24.04 | (366) pred(n3) = all_197_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (192) with fresh symbol all_201_0 gives:
% 158.82/24.04 | (367) pred(n999) = all_201_0 & leq(n0, all_201_0) = 0 & $i(all_201_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (367) implies:
% 158.82/24.04 | (368) leq(n0, all_201_0) = 0
% 158.82/24.04 | (369) pred(n999) = all_201_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (194) with fresh symbol all_203_0 gives:
% 158.82/24.04 | (370) pred(n999) = all_203_0 & leq(tptp_minus_1, all_203_0) = 0 &
% 158.82/24.04 | $i(all_203_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (370) implies:
% 158.82/24.04 | (371) leq(tptp_minus_1, all_203_0) = 0
% 158.82/24.04 | (372) pred(n999) = all_203_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (238) with fresh symbol all_205_0 gives:
% 158.82/24.04 | (373) plus(n2, n0) = all_205_0 & succ(n1) = all_205_0 & $i(all_205_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (373) implies:
% 158.82/24.04 | (374) succ(n1) = all_205_0
% 158.82/24.04 | (375) plus(n2, n0) = all_205_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (206) with fresh symbol all_207_0 gives:
% 158.82/24.04 | (376) pred(n999) = all_207_0 & leq(n6, all_207_0) = 0 & $i(all_207_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (376) implies:
% 158.82/24.04 | (377) leq(n6, all_207_0) = 0
% 158.82/24.04 | (378) pred(n999) = all_207_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (275) with fresh symbol all_209_0 gives:
% 158.82/24.04 | (379) plus(n3, n2) = all_209_0 & succ(n4) = all_209_0 & $i(all_209_0)
% 158.82/24.04 |
% 158.82/24.04 | ALPHA: (379) implies:
% 158.82/24.04 | (380) succ(n4) = all_209_0
% 158.82/24.04 |
% 158.82/24.04 | DELTA: instantiating (196) with fresh symbol all_211_0 gives:
% 158.82/24.05 | (381) pred(n999) = all_211_0 & leq(n1, all_211_0) = 0 & $i(all_211_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (381) implies:
% 158.82/24.05 | (382) leq(n1, all_211_0) = 0
% 158.82/24.05 | (383) pred(n999) = all_211_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (208) with fresh symbol all_213_0 gives:
% 158.82/24.05 | (384) pred(n6) = all_213_0 & leq(n0, all_213_0) = 0 & $i(all_213_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (384) implies:
% 158.82/24.05 | (385) pred(n6) = all_213_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (200) with fresh symbol all_215_0 gives:
% 158.82/24.05 | (386) pred(n999) = all_215_0 & leq(n3, all_215_0) = 0 & $i(all_215_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (386) implies:
% 158.82/24.05 | (387) leq(n3, all_215_0) = 0
% 158.82/24.05 | (388) pred(n999) = all_215_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (249) with fresh symbol all_217_0 gives:
% 158.82/24.05 | (389) plus(n2, tptp_minus_1) = all_217_0 & succ(n0) = all_217_0 &
% 158.82/24.05 | $i(all_217_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (389) implies:
% 158.82/24.05 | (390) succ(n0) = all_217_0
% 158.82/24.05 | (391) plus(n2, tptp_minus_1) = all_217_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (248) with fresh symbol all_219_0 gives:
% 158.82/24.05 | (392) plus(tptp_minus_1, n2) = all_219_0 & succ(n0) = all_219_0 &
% 158.82/24.05 | $i(all_219_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (392) implies:
% 158.82/24.05 | (393) succ(n0) = all_219_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (218) with fresh symbol all_221_0 gives:
% 158.82/24.05 | (394) pred(n6) = all_221_0 & leq(n4, all_221_0) = 0 & $i(all_221_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (394) implies:
% 158.82/24.05 | (395) pred(n6) = all_221_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (237) with fresh symbol all_223_0 gives:
% 158.82/24.05 | (396) plus(n0, n2) = all_223_0 & succ(n1) = all_223_0 & $i(all_223_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (396) implies:
% 158.82/24.05 | (397) succ(n1) = all_223_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (198) with fresh symbol all_225_0 gives:
% 158.82/24.05 | (398) pred(n999) = all_225_0 & leq(n2, all_225_0) = 0 & $i(all_225_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (398) implies:
% 158.82/24.05 | (399) leq(n2, all_225_0) = 0
% 158.82/24.05 | (400) pred(n999) = all_225_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (228) with fresh symbol all_227_0 gives:
% 158.82/24.05 | (401) succ(all_96_35) = all_227_0 & leq(pv5, all_227_0) = 0 & $i(all_227_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (401) implies:
% 158.82/24.05 | (402) $i(all_227_0)
% 158.82/24.05 | (403) leq(pv5, all_227_0) = 0
% 158.82/24.05 | (404) succ(all_96_35) = all_227_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (225) with fresh symbol all_229_0 gives:
% 158.82/24.05 | (405) succ(pv5) = all_229_0 & leq(n0, all_229_0) = 0 & $i(all_229_0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (405) implies:
% 158.82/24.05 | (406) $i(all_229_0)
% 158.82/24.05 | (407) leq(n0, all_229_0) = 0
% 158.82/24.05 | (408) succ(pv5) = all_229_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (305) with fresh symbols all_231_0, all_231_1 gives:
% 158.82/24.05 | (409) leq(all_96_34, n6) = all_231_1 & leq(n0, n1) = all_231_0 & ( ~
% 158.82/24.05 | (all_231_1 = 0) | all_231_0 = 0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (409) implies:
% 158.82/24.05 | (410) leq(all_96_34, n6) = all_231_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (298) with fresh symbols all_237_0, all_237_1 gives:
% 158.82/24.05 | (411) leq(all_96_32, n0) = all_237_1 & leq(n0, n1) = all_237_0 & ( ~
% 158.82/24.05 | (all_237_1 = 0) | all_237_0 = 0)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (411) implies:
% 158.82/24.05 | (412) leq(all_96_32, n0) = all_237_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (267) with fresh symbols all_239_0, all_239_1 gives:
% 158.82/24.05 | (413) plus(n3, n2) = all_239_1 & succ(all_239_0) = all_239_1 & succ(n3) =
% 158.82/24.05 | all_239_0 & $i(all_239_0) & $i(all_239_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (413) implies:
% 158.82/24.05 | (414) succ(n3) = all_239_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (257) with fresh symbols all_241_0, all_241_1 gives:
% 158.82/24.05 | (415) plus(n3, n1) = all_241_1 & succ(all_241_0) = all_241_1 & succ(n2) =
% 158.82/24.05 | all_241_0 & $i(all_241_0) & $i(all_241_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (415) implies:
% 158.82/24.05 | (416) succ(n2) = all_241_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (224) with fresh symbols all_243_0, all_243_1 gives:
% 158.82/24.05 | (417) succ(pv5) = all_243_0 & succ(n0) = all_243_1 & leq(all_243_1,
% 158.82/24.05 | all_243_0) = 0 & $i(all_243_0) & $i(all_243_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (417) implies:
% 158.82/24.05 | (418) leq(all_243_1, all_243_0) = 0
% 158.82/24.05 | (419) succ(n0) = all_243_1
% 158.82/24.05 | (420) succ(pv5) = all_243_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (291) with fresh symbols all_245_0, all_245_1 gives:
% 158.82/24.05 | (421) plus(n3, n5) = all_245_1 & succ(all_245_0) = all_245_1 & succ(n6) =
% 158.82/24.05 | all_245_0 & $i(all_245_0) & $i(all_245_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (421) implies:
% 158.82/24.05 | (422) succ(n6) = all_245_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (247) with fresh symbols all_247_0, all_247_1 gives:
% 158.82/24.05 | (423) plus(n3, tptp_minus_1) = all_247_1 & succ(all_247_0) = all_247_1 &
% 158.82/24.05 | succ(n0) = all_247_0 & $i(all_247_0) & $i(all_247_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (423) implies:
% 158.82/24.05 | (424) $i(all_247_1)
% 158.82/24.05 | (425) succ(n0) = all_247_0
% 158.82/24.05 | (426) succ(all_247_0) = all_247_1
% 158.82/24.05 | (427) plus(n3, tptp_minus_1) = all_247_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (236) with fresh symbols all_249_0, all_249_1 gives:
% 158.82/24.05 | (428) plus(n3, n0) = all_249_1 & succ(all_249_0) = all_249_1 & succ(n1) =
% 158.82/24.05 | all_249_0 & $i(all_249_0) & $i(all_249_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (428) implies:
% 158.82/24.05 | (429) succ(n1) = all_249_0
% 158.82/24.05 | (430) succ(all_249_0) = all_249_1
% 158.82/24.05 | (431) plus(n3, n0) = all_249_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (227) with fresh symbols all_251_0, all_251_1 gives:
% 158.82/24.05 | (432) succ(all_96_35) = all_251_0 & succ(pv5) = all_251_1 & leq(all_251_1,
% 158.82/24.05 | all_251_0) = 0 & $i(all_251_0) & $i(all_251_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (432) implies:
% 158.82/24.05 | (433) leq(all_251_1, all_251_0) = 0
% 158.82/24.05 | (434) succ(pv5) = all_251_1
% 158.82/24.05 | (435) succ(all_96_35) = all_251_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (246) with fresh symbols all_253_0, all_253_1 gives:
% 158.82/24.05 | (436) plus(tptp_minus_1, n3) = all_253_1 & succ(all_253_0) = all_253_1 &
% 158.82/24.05 | succ(n0) = all_253_0 & $i(all_253_0) & $i(all_253_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (436) implies:
% 158.82/24.05 | (437) succ(n0) = all_253_0
% 158.82/24.05 | (438) succ(all_253_0) = all_253_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (256) with fresh symbols all_255_0, all_255_1 gives:
% 158.82/24.05 | (439) plus(n1, n3) = all_255_1 & succ(all_255_0) = all_255_1 & succ(n2) =
% 158.82/24.05 | all_255_0 & $i(all_255_0) & $i(all_255_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (439) implies:
% 158.82/24.05 | (440) succ(n2) = all_255_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (235) with fresh symbols all_257_0, all_257_1 gives:
% 158.82/24.05 | (441) plus(n0, n3) = all_257_1 & succ(all_257_0) = all_257_1 & succ(n1) =
% 158.82/24.05 | all_257_0 & $i(all_257_0) & $i(all_257_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (441) implies:
% 158.82/24.05 | (442) succ(n1) = all_257_0
% 158.82/24.05 | (443) succ(all_257_0) = all_257_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (266) with fresh symbols all_259_0, all_259_1 gives:
% 158.82/24.05 | (444) plus(n2, n3) = all_259_1 & succ(all_259_0) = all_259_1 & succ(n3) =
% 158.82/24.05 | all_259_0 & $i(all_259_0) & $i(all_259_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (444) implies:
% 158.82/24.05 | (445) succ(n3) = all_259_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (290) with fresh symbols all_261_0, all_261_1 gives:
% 158.82/24.05 | (446) plus(n5, n3) = all_261_1 & succ(all_261_0) = all_261_1 & succ(n6) =
% 158.82/24.05 | all_261_0 & $i(all_261_0) & $i(all_261_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (446) implies:
% 158.82/24.05 | (447) succ(n6) = all_261_0
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (274) with fresh symbols all_263_0, all_263_1 gives:
% 158.82/24.05 | (448) plus(n3, n3) = all_263_1 & succ(all_263_0) = all_263_1 & succ(n4) =
% 158.82/24.05 | all_263_0 & $i(all_263_0) & $i(all_263_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (448) implies:
% 158.82/24.05 | (449) succ(n4) = all_263_0
% 158.82/24.05 | (450) succ(all_263_0) = all_263_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (282) with fresh symbols all_265_0, all_265_1 gives:
% 158.82/24.05 | (451) plus(n3, n4) = all_265_1 & succ(all_265_0) = all_265_1 & succ(n5) =
% 158.82/24.05 | all_265_0 & $i(all_265_0) & $i(all_265_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (451) implies:
% 158.82/24.05 | (452) succ(n5) = all_265_0
% 158.82/24.05 | (453) succ(all_265_0) = all_265_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (281) with fresh symbols all_267_0, all_267_1 gives:
% 158.82/24.05 | (454) plus(n4, n3) = all_267_1 & succ(all_267_0) = all_267_1 & succ(n5) =
% 158.82/24.05 | all_267_0 & $i(all_267_0) & $i(all_267_1)
% 158.82/24.05 |
% 158.82/24.05 | ALPHA: (454) implies:
% 158.82/24.05 | (455) succ(n5) = all_267_0
% 158.82/24.05 | (456) succ(all_267_0) = all_267_1
% 158.82/24.05 |
% 158.82/24.05 | DELTA: instantiating (255) with fresh symbols all_269_0, all_269_1, all_269_2
% 158.82/24.05 | gives:
% 158.82/24.06 | (457) plus(n4, n1) = all_269_2 & succ(all_269_0) = all_269_2 &
% 158.82/24.06 | succ(all_269_1) = all_269_0 & succ(n2) = all_269_1 & $i(all_269_0) &
% 158.82/24.06 | $i(all_269_1) & $i(all_269_2)
% 158.82/24.06 |
% 158.82/24.06 | ALPHA: (457) implies:
% 158.82/24.06 | (458) succ(n2) = all_269_1
% 158.82/24.06 | (459) succ(all_269_1) = all_269_0
% 158.82/24.06 |
% 158.82/24.06 | DELTA: instantiating (254) with fresh symbols all_271_0, all_271_1, all_271_2
% 158.82/24.06 | gives:
% 158.82/24.06 | (460) plus(n1, n4) = all_271_2 & succ(all_271_0) = all_271_2 &
% 158.82/24.06 | succ(all_271_1) = all_271_0 & succ(n2) = all_271_1 & $i(all_271_0) &
% 158.82/24.06 | $i(all_271_1) & $i(all_271_2)
% 158.82/24.06 |
% 158.82/24.06 | ALPHA: (460) implies:
% 158.82/24.06 | (461) succ(n2) = all_271_1
% 158.82/24.06 | (462) succ(all_271_1) = all_271_0
% 158.82/24.06 |
% 158.82/24.06 | DELTA: instantiating (264) with fresh symbols all_273_0, all_273_1, all_273_2
% 158.82/24.06 | gives:
% 158.82/24.06 | (463) plus(n2, n4) = all_273_2 & succ(all_273_0) = all_273_2 &
% 158.82/24.06 | succ(all_273_1) = all_273_0 & succ(n3) = all_273_1 & $i(all_273_0) &
% 158.82/24.06 | $i(all_273_1) & $i(all_273_2)
% 158.82/24.06 |
% 158.82/24.06 | ALPHA: (463) implies:
% 159.21/24.06 | (464) succ(n3) = all_273_1
% 159.21/24.06 | (465) succ(all_273_1) = all_273_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (234) with fresh symbols all_275_0, all_275_1, all_275_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (466) plus(n4, n0) = all_275_2 & succ(all_275_0) = all_275_2 &
% 159.21/24.06 | succ(all_275_1) = all_275_0 & succ(n1) = all_275_1 & $i(all_275_0) &
% 159.21/24.06 | $i(all_275_1) & $i(all_275_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (466) implies:
% 159.21/24.06 | (467) succ(n1) = all_275_1
% 159.21/24.06 | (468) succ(all_275_1) = all_275_0
% 159.21/24.06 | (469) succ(all_275_0) = all_275_2
% 159.21/24.06 | (470) plus(n4, n0) = all_275_2
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (245) with fresh symbols all_277_0, all_277_1, all_277_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (471) plus(n4, tptp_minus_1) = all_277_2 & succ(all_277_0) = all_277_2 &
% 159.21/24.06 | succ(all_277_1) = all_277_0 & succ(n0) = all_277_1 & $i(all_277_0) &
% 159.21/24.06 | $i(all_277_1) & $i(all_277_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (471) implies:
% 159.21/24.06 | (472) $i(all_277_2)
% 159.21/24.06 | (473) succ(n0) = all_277_1
% 159.21/24.06 | (474) succ(all_277_1) = all_277_0
% 159.21/24.06 | (475) succ(all_277_0) = all_277_2
% 159.21/24.06 | (476) plus(n4, tptp_minus_1) = all_277_2
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (244) with fresh symbols all_279_0, all_279_1, all_279_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (477) plus(tptp_minus_1, n4) = all_279_2 & succ(all_279_0) = all_279_2 &
% 159.21/24.06 | succ(all_279_1) = all_279_0 & succ(n0) = all_279_1 & $i(all_279_0) &
% 159.21/24.06 | $i(all_279_1) & $i(all_279_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (477) implies:
% 159.21/24.06 | (478) succ(n0) = all_279_1
% 159.21/24.06 | (479) succ(all_279_1) = all_279_0
% 159.21/24.06 | (480) succ(all_279_0) = all_279_2
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (265) with fresh symbols all_281_0, all_281_1, all_281_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (481) plus(n4, n2) = all_281_2 & succ(all_281_0) = all_281_2 &
% 159.21/24.06 | succ(all_281_1) = all_281_0 & succ(n3) = all_281_1 & $i(all_281_0) &
% 159.21/24.06 | $i(all_281_1) & $i(all_281_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (481) implies:
% 159.21/24.06 | (482) succ(n3) = all_281_1
% 159.21/24.06 | (483) succ(all_281_1) = all_281_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (233) with fresh symbols all_283_0, all_283_1, all_283_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (484) plus(n0, n4) = all_283_2 & succ(all_283_0) = all_283_2 &
% 159.21/24.06 | succ(all_283_1) = all_283_0 & succ(n1) = all_283_1 & $i(all_283_0) &
% 159.21/24.06 | $i(all_283_1) & $i(all_283_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (484) implies:
% 159.21/24.06 | (485) succ(n1) = all_283_1
% 159.21/24.06 | (486) succ(all_283_1) = all_283_0
% 159.21/24.06 | (487) succ(all_283_0) = all_283_2
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (288) with fresh symbols all_285_0, all_285_1, all_285_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (488) plus(n5, n4) = all_285_2 & succ(all_285_0) = all_285_2 &
% 159.21/24.06 | succ(all_285_1) = all_285_0 & succ(n6) = all_285_1 & $i(all_285_0) &
% 159.21/24.06 | $i(all_285_1) & $i(all_285_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (488) implies:
% 159.21/24.06 | (489) succ(n6) = all_285_1
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (289) with fresh symbols all_287_0, all_287_1, all_287_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (490) plus(n4, n5) = all_287_2 & succ(all_287_0) = all_287_2 &
% 159.21/24.06 | succ(all_287_1) = all_287_0 & succ(n6) = all_287_1 & $i(all_287_0) &
% 159.21/24.06 | $i(all_287_1) & $i(all_287_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (490) implies:
% 159.21/24.06 | (491) succ(n6) = all_287_1
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (273) with fresh symbols all_289_0, all_289_1, all_289_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (492) plus(n4, n3) = all_289_2 & succ(all_289_0) = all_289_2 &
% 159.21/24.06 | succ(all_289_1) = all_289_0 & succ(n4) = all_289_1 & $i(all_289_0) &
% 159.21/24.06 | $i(all_289_1) & $i(all_289_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (492) implies:
% 159.21/24.06 | (493) succ(n4) = all_289_1
% 159.21/24.06 | (494) succ(all_289_1) = all_289_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (272) with fresh symbols all_291_0, all_291_1, all_291_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (495) plus(n3, n4) = all_291_2 & succ(all_291_0) = all_291_2 &
% 159.21/24.06 | succ(all_291_1) = all_291_0 & succ(n4) = all_291_1 & $i(all_291_0) &
% 159.21/24.06 | $i(all_291_1) & $i(all_291_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (495) implies:
% 159.21/24.06 | (496) succ(n4) = all_291_1
% 159.21/24.06 | (497) succ(all_291_1) = all_291_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (280) with fresh symbols all_293_0, all_293_1, all_293_2
% 159.21/24.06 | gives:
% 159.21/24.06 | (498) plus(n4, n4) = all_293_2 & succ(all_293_0) = all_293_2 &
% 159.21/24.06 | succ(all_293_1) = all_293_0 & succ(n5) = all_293_1 & $i(all_293_0) &
% 159.21/24.06 | $i(all_293_1) & $i(all_293_2)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (498) implies:
% 159.21/24.06 | (499) succ(n5) = all_293_1
% 159.21/24.06 | (500) succ(all_293_1) = all_293_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (271) with fresh symbols all_295_0, all_295_1, all_295_2,
% 159.21/24.06 | all_295_3 gives:
% 159.21/24.06 | (501) plus(n5, n3) = all_295_3 & succ(all_295_0) = all_295_3 &
% 159.21/24.06 | succ(all_295_1) = all_295_0 & succ(all_295_2) = all_295_1 & succ(n4)
% 159.21/24.06 | = all_295_2 & $i(all_295_0) & $i(all_295_1) & $i(all_295_2) &
% 159.21/24.06 | $i(all_295_3)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (501) implies:
% 159.21/24.06 | (502) succ(n4) = all_295_2
% 159.21/24.06 | (503) succ(all_295_2) = all_295_1
% 159.21/24.06 | (504) succ(all_295_1) = all_295_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (279) with fresh symbols all_297_0, all_297_1, all_297_2,
% 159.21/24.06 | all_297_3 gives:
% 159.21/24.06 | (505) plus(n5, n4) = all_297_3 & succ(all_297_0) = all_297_3 &
% 159.21/24.06 | succ(all_297_1) = all_297_0 & succ(all_297_2) = all_297_1 & succ(n5)
% 159.21/24.06 | = all_297_2 & $i(all_297_0) & $i(all_297_1) & $i(all_297_2) &
% 159.21/24.06 | $i(all_297_3)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (505) implies:
% 159.21/24.06 | (506) succ(n5) = all_297_2
% 159.21/24.06 | (507) succ(all_297_2) = all_297_1
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (270) with fresh symbols all_299_0, all_299_1, all_299_2,
% 159.21/24.06 | all_299_3 gives:
% 159.21/24.06 | (508) plus(n3, n5) = all_299_3 & succ(all_299_0) = all_299_3 &
% 159.21/24.06 | succ(all_299_1) = all_299_0 & succ(all_299_2) = all_299_1 & succ(n4)
% 159.21/24.06 | = all_299_2 & $i(all_299_0) & $i(all_299_1) & $i(all_299_2) &
% 159.21/24.06 | $i(all_299_3)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (508) implies:
% 159.21/24.06 | (509) succ(n4) = all_299_2
% 159.21/24.06 | (510) succ(all_299_2) = all_299_1
% 159.21/24.06 | (511) succ(all_299_1) = all_299_0
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (243) with fresh symbols all_301_0, all_301_1, all_301_2,
% 159.21/24.06 | all_301_3 gives:
% 159.21/24.06 | (512) plus(n5, tptp_minus_1) = all_301_3 & succ(all_301_0) = all_301_3 &
% 159.21/24.06 | succ(all_301_1) = all_301_0 & succ(all_301_2) = all_301_1 & succ(n0)
% 159.21/24.06 | = all_301_2 & $i(all_301_0) & $i(all_301_1) & $i(all_301_2) &
% 159.21/24.06 | $i(all_301_3)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (512) implies:
% 159.21/24.06 | (513) $i(all_301_3)
% 159.21/24.06 | (514) succ(n0) = all_301_2
% 159.21/24.06 | (515) succ(all_301_2) = all_301_1
% 159.21/24.06 | (516) succ(all_301_1) = all_301_0
% 159.21/24.06 | (517) succ(all_301_0) = all_301_3
% 159.21/24.06 | (518) plus(n5, tptp_minus_1) = all_301_3
% 159.21/24.06 |
% 159.21/24.06 | DELTA: instantiating (242) with fresh symbols all_303_0, all_303_1, all_303_2,
% 159.21/24.06 | all_303_3 gives:
% 159.21/24.06 | (519) plus(tptp_minus_1, n5) = all_303_3 & succ(all_303_0) = all_303_3 &
% 159.21/24.06 | succ(all_303_1) = all_303_0 & succ(all_303_2) = all_303_1 & succ(n0)
% 159.21/24.06 | = all_303_2 & $i(all_303_0) & $i(all_303_1) & $i(all_303_2) &
% 159.21/24.06 | $i(all_303_3)
% 159.21/24.06 |
% 159.21/24.06 | ALPHA: (519) implies:
% 159.21/24.06 | (520) succ(n0) = all_303_2
% 159.21/24.06 | (521) succ(all_303_2) = all_303_1
% 159.21/24.06 | (522) succ(all_303_1) = all_303_0
% 159.21/24.07 | (523) succ(all_303_0) = all_303_3
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (287) with fresh symbols all_305_0, all_305_1, all_305_2,
% 159.21/24.07 | all_305_3 gives:
% 159.21/24.07 | (524) plus(n5, n5) = all_305_3 & succ(all_305_0) = all_305_3 &
% 159.21/24.07 | succ(all_305_1) = all_305_0 & succ(all_305_2) = all_305_1 & succ(n6)
% 159.21/24.07 | = all_305_2 & $i(all_305_0) & $i(all_305_1) & $i(all_305_2) &
% 159.21/24.07 | $i(all_305_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (524) implies:
% 159.21/24.07 | (525) succ(n6) = all_305_2
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (232) with fresh symbols all_307_0, all_307_1, all_307_2,
% 159.21/24.07 | all_307_3 gives:
% 159.21/24.07 | (526) plus(n5, n0) = all_307_3 & succ(all_307_0) = all_307_3 &
% 159.21/24.07 | succ(all_307_1) = all_307_0 & succ(all_307_2) = all_307_1 & succ(n1)
% 159.21/24.07 | = all_307_2 & $i(all_307_0) & $i(all_307_1) & $i(all_307_2) &
% 159.21/24.07 | $i(all_307_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (526) implies:
% 159.21/24.07 | (527) $i(all_307_3)
% 159.21/24.07 | (528) succ(n1) = all_307_2
% 159.21/24.07 | (529) succ(all_307_2) = all_307_1
% 159.21/24.07 | (530) succ(all_307_1) = all_307_0
% 159.21/24.07 | (531) succ(all_307_0) = all_307_3
% 159.21/24.07 | (532) plus(n5, n0) = all_307_3
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (253) with fresh symbols all_309_0, all_309_1, all_309_2,
% 159.21/24.07 | all_309_3 gives:
% 159.21/24.07 | (533) plus(n5, n1) = all_309_3 & succ(all_309_0) = all_309_3 &
% 159.21/24.07 | succ(all_309_1) = all_309_0 & succ(all_309_2) = all_309_1 & succ(n2)
% 159.21/24.07 | = all_309_2 & $i(all_309_0) & $i(all_309_1) & $i(all_309_2) &
% 159.21/24.07 | $i(all_309_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (533) implies:
% 159.21/24.07 | (534) succ(n2) = all_309_2
% 159.21/24.07 | (535) succ(all_309_2) = all_309_1
% 159.21/24.07 | (536) succ(all_309_1) = all_309_0
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (262) with fresh symbols all_311_0, all_311_1, all_311_2,
% 159.21/24.07 | all_311_3 gives:
% 159.21/24.07 | (537) plus(n2, n5) = all_311_3 & succ(all_311_0) = all_311_3 &
% 159.21/24.07 | succ(all_311_1) = all_311_0 & succ(all_311_2) = all_311_1 & succ(n3)
% 159.21/24.07 | = all_311_2 & $i(all_311_0) & $i(all_311_1) & $i(all_311_2) &
% 159.21/24.07 | $i(all_311_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (537) implies:
% 159.21/24.07 | (538) $i(all_311_0)
% 159.21/24.07 | (539) succ(n3) = all_311_2
% 159.21/24.07 | (540) succ(all_311_2) = all_311_1
% 159.21/24.07 | (541) succ(all_311_1) = all_311_0
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (263) with fresh symbols all_313_0, all_313_1, all_313_2,
% 159.21/24.07 | all_313_3 gives:
% 159.21/24.07 | (542) plus(n5, n2) = all_313_3 & succ(all_313_0) = all_313_3 &
% 159.21/24.07 | succ(all_313_1) = all_313_0 & succ(all_313_2) = all_313_1 & succ(n3)
% 159.21/24.07 | = all_313_2 & $i(all_313_0) & $i(all_313_1) & $i(all_313_2) &
% 159.21/24.07 | $i(all_313_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (542) implies:
% 159.21/24.07 | (543) succ(n3) = all_313_2
% 159.21/24.07 | (544) succ(all_313_2) = all_313_1
% 159.21/24.07 | (545) succ(all_313_1) = all_313_0
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (252) with fresh symbols all_315_0, all_315_1, all_315_2,
% 159.21/24.07 | all_315_3 gives:
% 159.21/24.07 | (546) plus(n1, n5) = all_315_3 & succ(all_315_0) = all_315_3 &
% 159.21/24.07 | succ(all_315_1) = all_315_0 & succ(all_315_2) = all_315_1 & succ(n2)
% 159.21/24.07 | = all_315_2 & $i(all_315_0) & $i(all_315_1) & $i(all_315_2) &
% 159.21/24.07 | $i(all_315_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (546) implies:
% 159.21/24.07 | (547) succ(n2) = all_315_2
% 159.21/24.07 | (548) succ(all_315_2) = all_315_1
% 159.21/24.07 | (549) succ(all_315_1) = all_315_0
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (231) with fresh symbols all_317_0, all_317_1, all_317_2,
% 159.21/24.07 | all_317_3 gives:
% 159.21/24.07 | (550) plus(n0, n5) = all_317_3 & succ(all_317_0) = all_317_3 &
% 159.21/24.07 | succ(all_317_1) = all_317_0 & succ(all_317_2) = all_317_1 & succ(n1)
% 159.21/24.07 | = all_317_2 & $i(all_317_0) & $i(all_317_1) & $i(all_317_2) &
% 159.21/24.07 | $i(all_317_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (550) implies:
% 159.21/24.07 | (551) succ(n1) = all_317_2
% 159.21/24.07 | (552) succ(all_317_2) = all_317_1
% 159.21/24.07 | (553) succ(all_317_1) = all_317_0
% 159.21/24.07 | (554) succ(all_317_0) = all_317_3
% 159.21/24.07 |
% 159.21/24.07 | DELTA: instantiating (278) with fresh symbols all_319_0, all_319_1, all_319_2,
% 159.21/24.07 | all_319_3 gives:
% 159.21/24.07 | (555) plus(n4, n5) = all_319_3 & succ(all_319_0) = all_319_3 &
% 159.21/24.07 | succ(all_319_1) = all_319_0 & succ(all_319_2) = all_319_1 & succ(n5)
% 159.21/24.07 | = all_319_2 & $i(all_319_0) & $i(all_319_1) & $i(all_319_2) &
% 159.21/24.07 | $i(all_319_3)
% 159.21/24.07 |
% 159.21/24.07 | ALPHA: (555) implies:
% 159.21/24.07 | (556) succ(n5) = all_319_2
% 159.21/24.07 | (557) succ(all_319_2) = all_319_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_96_32, all_153_0, n0, simplifying
% 159.21/24.07 | with (297), (327) gives:
% 159.21/24.07 | (558) all_153_0 = all_96_32
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with tptp_minus_1, all_153_0, n0, simplifying
% 159.21/24.07 | with (241), (327) gives:
% 159.21/24.07 | (559) all_153_0 = tptp_minus_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_137_0, all_149_0, n1, simplifying
% 159.21/24.07 | with (317), (323) gives:
% 159.21/24.07 | (560) all_149_0 = all_137_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with n0, all_149_0, n1, simplifying with
% 159.21/24.07 | (230), (323) gives:
% 159.21/24.07 | (561) all_149_0 = n0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with n1, all_165_0, n2, simplifying with
% 159.21/24.07 | (251), (338) gives:
% 159.21/24.07 | (562) all_165_0 = n1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_165_0, all_195_0, n2, simplifying
% 159.21/24.07 | with (338), (364) gives:
% 159.21/24.07 | (563) all_195_0 = all_165_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_163_0, all_195_0, n2, simplifying
% 159.21/24.07 | with (336), (364) gives:
% 159.21/24.07 | (564) all_195_0 = all_163_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_143_0, all_173_0, n3, simplifying
% 159.21/24.07 | with (321), (346) gives:
% 159.21/24.07 | (565) all_173_0 = all_143_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_141_0, all_173_0, n3, simplifying
% 159.21/24.07 | with (319), (346) gives:
% 159.21/24.07 | (566) all_173_0 = all_141_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_96_33, all_173_0, n3, simplifying
% 159.21/24.07 | with (300), (346) gives:
% 159.21/24.07 | (567) all_173_0 = all_96_33
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_173_0, all_197_0, n3, simplifying
% 159.21/24.07 | with (346), (366) gives:
% 159.21/24.07 | (568) all_197_0 = all_173_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with n2, all_197_0, n3, simplifying with
% 159.21/24.07 | (261), (366) gives:
% 159.21/24.07 | (569) all_197_0 = n2
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_201_0, all_203_0, n999, simplifying
% 159.21/24.07 | with (369), (372) gives:
% 159.21/24.07 | (570) all_203_0 = all_201_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_185_0, all_203_0, n999, simplifying
% 159.21/24.07 | with (355), (372) gives:
% 159.21/24.07 | (571) all_203_0 = all_185_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_171_0, all_203_0, n999, simplifying
% 159.21/24.07 | with (344), (372) gives:
% 159.21/24.07 | (572) all_203_0 = all_171_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_211_0, all_215_0, n999, simplifying
% 159.21/24.07 | with (383), (388) gives:
% 159.21/24.07 | (573) all_215_0 = all_211_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_207_0, all_215_0, n999, simplifying
% 159.21/24.07 | with (378), (388) gives:
% 159.21/24.07 | (574) all_215_0 = all_207_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_201_0, all_215_0, n999, simplifying
% 159.21/24.07 | with (369), (388) gives:
% 159.21/24.07 | (575) all_215_0 = all_201_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_211_0, all_225_0, n999, simplifying
% 159.21/24.07 | with (383), (400) gives:
% 159.21/24.07 | (576) all_225_0 = all_211_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_96_35, all_225_0, n999, simplifying
% 159.21/24.07 | with (302), (400) gives:
% 159.21/24.07 | (577) all_225_0 = all_96_35
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_127_0, all_151_0, n6, simplifying
% 159.21/24.07 | with (309), (325) gives:
% 159.21/24.07 | (578) all_151_0 = all_127_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with n5, all_151_0, n6, simplifying with
% 159.21/24.07 | (286), (325) gives:
% 159.21/24.07 | (579) all_151_0 = n5
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_151_0, all_183_0, n6, simplifying
% 159.21/24.07 | with (325), (352) gives:
% 159.21/24.07 | (580) all_183_0 = all_151_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_125_0, all_183_0, n6, simplifying
% 159.21/24.07 | with (307), (352) gives:
% 159.21/24.07 | (581) all_183_0 = all_125_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_213_0, all_221_0, n6, simplifying
% 159.21/24.07 | with (385), (395) gives:
% 159.21/24.07 | (582) all_221_0 = all_213_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_131_0, all_221_0, n6, simplifying
% 159.21/24.07 | with (313), (395) gives:
% 159.21/24.07 | (583) all_221_0 = all_131_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_127_0, all_221_0, n6, simplifying
% 159.21/24.07 | with (309), (395) gives:
% 159.21/24.07 | (584) all_221_0 = all_127_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (67) with all_96_34, all_221_0, n6, simplifying
% 159.21/24.07 | with (304), (395) gives:
% 159.21/24.07 | (585) all_221_0 = all_96_34
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_243_1, all_247_0, n0, simplifying
% 159.21/24.07 | with (419), (425) gives:
% 159.21/24.07 | (586) all_247_0 = all_243_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_217_0, all_247_0, n0, simplifying
% 159.21/24.07 | with (390), (425) gives:
% 159.21/24.07 | (587) all_247_0 = all_217_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with n1, all_253_0, n0, simplifying with (59),
% 159.21/24.07 | (437) gives:
% 159.21/24.07 | (588) all_253_0 = n1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_243_1, all_253_0, n0, simplifying
% 159.21/24.07 | with (419), (437) gives:
% 159.21/24.07 | (589) all_253_0 = all_243_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_243_1, all_277_1, n0, simplifying
% 159.21/24.07 | with (419), (473) gives:
% 159.21/24.07 | (590) all_277_1 = all_243_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_219_0, all_301_2, n0, simplifying
% 159.21/24.07 | with (393), (514) gives:
% 159.21/24.07 | (591) all_301_2 = all_219_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_301_2, all_303_2, n0, simplifying
% 159.21/24.07 | with (514), (520) gives:
% 159.21/24.07 | (592) all_303_2 = all_301_2
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_279_1, all_303_2, n0, simplifying
% 159.21/24.07 | with (478), (520) gives:
% 159.21/24.07 | (593) all_303_2 = all_279_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_277_1, all_303_2, n0, simplifying
% 159.21/24.07 | with (473), (520) gives:
% 159.21/24.07 | (594) all_303_2 = all_277_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_249_0, all_257_0, n1, simplifying
% 159.21/24.07 | with (429), (442) gives:
% 159.21/24.07 | (595) all_257_0 = all_249_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_257_0, all_275_1, n1, simplifying
% 159.21/24.07 | with (442), (467) gives:
% 159.21/24.07 | (596) all_275_1 = all_257_0
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_275_1, all_283_1, n1, simplifying
% 159.21/24.07 | with (467), (485) gives:
% 159.21/24.07 | (597) all_283_1 = all_275_1
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with n2, all_307_2, n1, simplifying with
% 159.21/24.07 | (143), (528) gives:
% 159.21/24.07 | (598) all_307_2 = n2
% 159.21/24.07 |
% 159.21/24.07 | GROUND_INST: instantiating (68) with all_249_0, all_307_2, n1, simplifying
% 159.21/24.08 | with (429), (528) gives:
% 159.21/24.08 | (599) all_307_2 = all_249_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_223_0, all_307_2, n1, simplifying
% 159.21/24.08 | with (397), (528) gives:
% 159.21/24.08 | (600) all_307_2 = all_223_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_283_1, all_317_2, n1, simplifying
% 159.21/24.08 | with (485), (551) gives:
% 159.21/24.08 | (601) all_317_2 = all_283_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_205_0, all_317_2, n1, simplifying
% 159.21/24.08 | with (374), (551) gives:
% 159.21/24.08 | (602) all_317_2 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_159_0, all_241_0, n2, simplifying
% 159.21/24.08 | with (331), (416) gives:
% 159.21/24.08 | (603) all_241_0 = all_159_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_241_0, all_269_1, n2, simplifying
% 159.21/24.08 | with (416), (458) gives:
% 159.21/24.08 | (604) all_269_1 = all_241_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_161_0, all_269_1, n2, simplifying
% 159.21/24.08 | with (333), (458) gives:
% 159.21/24.08 | (605) all_269_1 = all_161_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with n3, all_315_2, n2, simplifying with
% 159.21/24.08 | (158), (547) gives:
% 159.21/24.08 | (606) all_315_2 = n3
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_309_2, all_315_2, n2, simplifying
% 159.21/24.08 | with (534), (547) gives:
% 159.21/24.08 | (607) all_315_2 = all_309_2
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_271_1, all_315_2, n2, simplifying
% 159.21/24.08 | with (461), (547) gives:
% 159.21/24.08 | (608) all_315_2 = all_271_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_269_1, all_315_2, n2, simplifying
% 159.21/24.08 | with (458), (547) gives:
% 159.21/24.08 | (609) all_315_2 = all_269_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_255_0, all_315_2, n2, simplifying
% 159.21/24.08 | with (440), (547) gives:
% 159.21/24.08 | (610) all_315_2 = all_255_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with n4, all_273_1, n3, simplifying with
% 159.21/24.08 | (169), (464) gives:
% 159.21/24.08 | (611) all_273_1 = n4
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_273_1, all_281_1, n3, simplifying
% 159.21/24.08 | with (464), (482) gives:
% 159.21/24.08 | (612) all_281_1 = all_273_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_157_0, all_281_1, n3, simplifying
% 159.21/24.08 | with (329), (482) gives:
% 159.21/24.08 | (613) all_281_1 = all_157_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_273_1, all_311_2, n3, simplifying
% 159.21/24.08 | with (464), (539) gives:
% 159.21/24.08 | (614) all_311_2 = all_273_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_239_0, all_311_2, n3, simplifying
% 159.21/24.08 | with (414), (539) gives:
% 159.21/24.08 | (615) all_311_2 = all_239_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_281_1, all_313_2, n3, simplifying
% 159.21/24.08 | with (482), (543) gives:
% 159.21/24.08 | (616) all_313_2 = all_281_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_259_0, all_313_2, n3, simplifying
% 159.21/24.08 | with (445), (543) gives:
% 159.21/24.08 | (617) all_313_2 = all_259_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with n5, all_289_1, n4, simplifying with
% 159.21/24.08 | (176), (493) gives:
% 159.21/24.08 | (618) all_289_1 = n5
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_209_0, all_289_1, n4, simplifying
% 159.21/24.08 | with (380), (493) gives:
% 159.21/24.08 | (619) all_289_1 = all_209_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_289_1, all_291_1, n4, simplifying
% 159.21/24.08 | with (493), (496) gives:
% 159.21/24.08 | (620) all_291_1 = all_289_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_289_1, all_295_2, n4, simplifying
% 159.21/24.08 | with (493), (502) gives:
% 159.21/24.08 | (621) all_295_2 = all_289_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_169_0, all_295_2, n4, simplifying
% 159.21/24.08 | with (340), (502) gives:
% 159.21/24.08 | (622) all_295_2 = all_169_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_291_1, all_299_2, n4, simplifying
% 159.21/24.08 | with (496), (509) gives:
% 159.21/24.08 | (623) all_299_2 = all_291_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_263_0, all_299_2, n4, simplifying
% 159.21/24.08 | with (449), (509) gives:
% 159.21/24.08 | (624) all_299_2 = all_263_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with n6, all_293_1, n5, simplifying with
% 159.21/24.08 | (179), (499) gives:
% 159.21/24.08 | (625) all_293_1 = n6
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_265_0, all_293_1, n5, simplifying
% 159.21/24.08 | with (452), (499) gives:
% 159.21/24.08 | (626) all_293_1 = all_265_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_191_0, all_293_1, n5, simplifying
% 159.21/24.08 | with (362), (499) gives:
% 159.21/24.08 | (627) all_293_1 = all_191_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_267_0, all_297_2, n5, simplifying
% 159.21/24.08 | with (455), (506) gives:
% 159.21/24.08 | (628) all_297_2 = all_267_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_265_0, all_297_2, n5, simplifying
% 159.21/24.08 | with (452), (506) gives:
% 159.21/24.08 | (629) all_297_2 = all_265_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_297_2, all_319_2, n5, simplifying
% 159.21/24.08 | with (506), (556) gives:
% 159.21/24.08 | (630) all_319_2 = all_297_2
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_189_0, all_319_2, n5, simplifying
% 159.21/24.08 | with (360), (556) gives:
% 159.21/24.08 | (631) all_319_2 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_243_0, all_251_1, pv5, simplifying
% 159.21/24.08 | with (420), (434) gives:
% 159.21/24.08 | (632) all_251_1 = all_243_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_229_0, all_251_1, pv5, simplifying
% 159.21/24.08 | with (408), (434) gives:
% 159.21/24.08 | (633) all_251_1 = all_229_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_187_0, all_251_1, pv5, simplifying
% 159.21/24.08 | with (358), (434) gives:
% 159.21/24.08 | (634) all_251_1 = all_187_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_261_0, all_285_1, n6, simplifying
% 159.21/24.08 | with (447), (489) gives:
% 159.21/24.08 | (635) all_285_1 = all_261_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_181_0, all_285_1, n6, simplifying
% 159.21/24.08 | with (350), (489) gives:
% 159.21/24.08 | (636) all_285_1 = all_181_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_287_1, all_305_2, n6, simplifying
% 159.21/24.08 | with (491), (525) gives:
% 159.21/24.08 | (637) all_305_2 = all_287_1
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_261_0, all_305_2, n6, simplifying
% 159.21/24.08 | with (447), (525) gives:
% 159.21/24.08 | (638) all_305_2 = all_261_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_245_0, all_305_2, n6, simplifying
% 159.21/24.08 | with (422), (525) gives:
% 159.21/24.08 | (639) all_305_2 = all_245_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_129_0, all_305_2, n6, simplifying
% 159.21/24.08 | with (311), (525) gives:
% 159.21/24.08 | (640) all_305_2 = all_129_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_227_0, all_251_0, all_96_35,
% 159.21/24.08 | simplifying with (404), (435) gives:
% 159.21/24.08 | (641) all_251_0 = all_227_0
% 159.21/24.08 |
% 159.21/24.08 | GROUND_INST: instantiating (68) with all_177_0, all_251_0, all_96_35,
% 159.21/24.08 | simplifying with (348), (435) gives:
% 159.21/24.08 | (642) all_251_0 = all_177_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (630), (631) imply:
% 159.21/24.08 | (643) all_297_2 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (643) implies:
% 159.21/24.08 | (644) all_297_2 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (601), (602) imply:
% 159.21/24.08 | (645) all_283_1 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (645) implies:
% 159.21/24.08 | (646) all_283_1 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (606), (607) imply:
% 159.21/24.08 | (647) all_309_2 = n3
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (607), (609) imply:
% 159.21/24.08 | (648) all_309_2 = all_269_1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (607), (608) imply:
% 159.21/24.08 | (649) all_309_2 = all_271_1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (607), (610) imply:
% 159.21/24.08 | (650) all_309_2 = all_255_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (616), (617) imply:
% 159.21/24.08 | (651) all_281_1 = all_259_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (651) implies:
% 159.21/24.08 | (652) all_281_1 = all_259_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (614), (615) imply:
% 159.21/24.08 | (653) all_273_1 = all_239_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (653) implies:
% 159.21/24.08 | (654) all_273_1 = all_239_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (648), (649) imply:
% 159.21/24.08 | (655) all_271_1 = all_269_1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (647), (649) imply:
% 159.21/24.08 | (656) all_271_1 = n3
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (649), (650) imply:
% 159.21/24.08 | (657) all_271_1 = all_255_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (599), (600) imply:
% 159.21/24.08 | (658) all_249_0 = all_223_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (658) implies:
% 159.21/24.08 | (659) all_249_0 = all_223_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (598), (600) imply:
% 159.21/24.08 | (660) all_223_0 = n2
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (637), (640) imply:
% 159.21/24.08 | (661) all_287_1 = all_129_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (637), (638) imply:
% 159.21/24.08 | (662) all_287_1 = all_261_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (637), (639) imply:
% 159.21/24.08 | (663) all_287_1 = all_245_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (592), (593) imply:
% 159.21/24.08 | (664) all_301_2 = all_279_1
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (664) implies:
% 159.21/24.08 | (665) all_301_2 = all_279_1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (593), (594) imply:
% 159.21/24.08 | (666) all_279_1 = all_277_1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (591), (665) imply:
% 159.21/24.08 | (667) all_279_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (667) implies:
% 159.21/24.08 | (668) all_279_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (623), (624) imply:
% 159.21/24.08 | (669) all_291_1 = all_263_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (669) implies:
% 159.21/24.08 | (670) all_291_1 = all_263_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (628), (629) imply:
% 159.21/24.08 | (671) all_267_0 = all_265_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (628), (644) imply:
% 159.21/24.08 | (672) all_267_0 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (621), (622) imply:
% 159.21/24.08 | (673) all_289_1 = all_169_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (673) implies:
% 159.21/24.08 | (674) all_289_1 = all_169_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (626), (627) imply:
% 159.21/24.08 | (675) all_265_0 = all_191_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (675) implies:
% 159.21/24.08 | (676) all_265_0 = all_191_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (625), (627) imply:
% 159.21/24.08 | (677) all_191_0 = n6
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (620), (670) imply:
% 159.21/24.08 | (678) all_289_1 = all_263_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (678) implies:
% 159.21/24.08 | (679) all_289_1 = all_263_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (618), (679) imply:
% 159.21/24.08 | (680) all_263_0 = n5
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (674), (679) imply:
% 159.21/24.08 | (681) all_263_0 = all_169_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (619), (679) imply:
% 159.21/24.08 | (682) all_263_0 = all_209_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (661), (663) imply:
% 159.21/24.08 | (683) all_245_0 = all_129_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (662), (663) imply:
% 159.21/24.08 | (684) all_261_0 = all_245_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (684) implies:
% 159.21/24.08 | (685) all_261_0 = all_245_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (635), (636) imply:
% 159.21/24.08 | (686) all_261_0 = all_181_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (686) implies:
% 159.21/24.08 | (687) all_261_0 = all_181_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (597), (646) imply:
% 159.21/24.08 | (688) all_275_1 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (688) implies:
% 159.21/24.08 | (689) all_275_1 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (612), (652) imply:
% 159.21/24.08 | (690) all_273_1 = all_259_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (690) implies:
% 159.21/24.08 | (691) all_273_1 = all_259_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (613), (652) imply:
% 159.21/24.08 | (692) all_259_0 = all_157_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (666), (668) imply:
% 159.21/24.08 | (693) all_277_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (693) implies:
% 159.21/24.08 | (694) all_277_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (590), (694) imply:
% 159.21/24.08 | (695) all_243_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (695) implies:
% 159.21/24.08 | (696) all_243_1 = all_219_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (596), (689) imply:
% 159.21/24.08 | (697) all_257_0 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (697) implies:
% 159.21/24.08 | (698) all_257_0 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (654), (691) imply:
% 159.21/24.08 | (699) all_259_0 = all_239_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (699) implies:
% 159.21/24.08 | (700) all_259_0 = all_239_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (611), (654) imply:
% 159.21/24.08 | (701) all_239_0 = n4
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (655), (657) imply:
% 159.21/24.08 | (702) all_269_1 = all_255_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (702) implies:
% 159.21/24.08 | (703) all_269_1 = all_255_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (656), (657) imply:
% 159.21/24.08 | (704) all_255_0 = n3
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (605), (703) imply:
% 159.21/24.08 | (705) all_255_0 = all_161_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (705) implies:
% 159.21/24.08 | (706) all_255_0 = all_161_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (604), (605) imply:
% 159.21/24.08 | (707) all_241_0 = all_161_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (707) implies:
% 159.21/24.08 | (708) all_241_0 = all_161_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (671), (672) imply:
% 159.21/24.08 | (709) all_265_0 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (709) implies:
% 159.21/24.08 | (710) all_265_0 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (676), (710) imply:
% 159.21/24.08 | (711) all_191_0 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (711) implies:
% 159.21/24.08 | (712) all_191_0 = all_189_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (681), (682) imply:
% 159.21/24.08 | (713) all_209_0 = all_169_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (680), (682) imply:
% 159.21/24.08 | (714) all_209_0 = n5
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (685), (687) imply:
% 159.21/24.08 | (715) all_245_0 = all_181_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (715) implies:
% 159.21/24.08 | (716) all_245_0 = all_181_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (692), (700) imply:
% 159.21/24.08 | (717) all_239_0 = all_157_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (717) implies:
% 159.21/24.08 | (718) all_239_0 = all_157_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (595), (698) imply:
% 159.21/24.08 | (719) all_249_0 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (719) implies:
% 159.21/24.08 | (720) all_249_0 = all_205_0
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (704), (706) imply:
% 159.21/24.08 | (721) all_161_0 = n3
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (721) implies:
% 159.21/24.08 | (722) all_161_0 = n3
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (588), (589) imply:
% 159.21/24.08 | (723) all_243_1 = n1
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (723) implies:
% 159.21/24.08 | (724) all_243_1 = n1
% 159.21/24.08 |
% 159.21/24.08 | COMBINE_EQS: (641), (642) imply:
% 159.21/24.08 | (725) all_227_0 = all_177_0
% 159.21/24.08 |
% 159.21/24.08 | SIMP: (725) implies:
% 159.21/24.09 | (726) all_227_0 = all_177_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (632), (633) imply:
% 159.21/24.09 | (727) all_243_0 = all_229_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (632), (634) imply:
% 159.21/24.09 | (728) all_243_0 = all_187_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (659), (720) imply:
% 159.21/24.09 | (729) all_223_0 = all_205_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (729) implies:
% 159.21/24.09 | (730) all_223_0 = all_205_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (586), (587) imply:
% 159.21/24.09 | (731) all_243_1 = all_217_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (731) implies:
% 159.21/24.09 | (732) all_243_1 = all_217_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (683), (716) imply:
% 159.21/24.09 | (733) all_181_0 = all_129_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (727), (728) imply:
% 159.21/24.09 | (734) all_229_0 = all_187_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (734) implies:
% 159.21/24.09 | (735) all_229_0 = all_187_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (696), (732) imply:
% 159.21/24.09 | (736) all_219_0 = all_217_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (696), (724) imply:
% 159.21/24.09 | (737) all_219_0 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (603), (708) imply:
% 159.21/24.09 | (738) all_161_0 = all_159_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (738) implies:
% 159.21/24.09 | (739) all_161_0 = all_159_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (701), (718) imply:
% 159.21/24.09 | (740) all_157_0 = n4
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (576), (577) imply:
% 159.21/24.09 | (741) all_211_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (741) implies:
% 159.21/24.09 | (742) all_211_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (660), (730) imply:
% 159.21/24.09 | (743) all_205_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (582), (584) imply:
% 159.21/24.09 | (744) all_213_0 = all_127_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (582), (583) imply:
% 159.21/24.09 | (745) all_213_0 = all_131_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (582), (585) imply:
% 159.21/24.09 | (746) all_213_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (736), (737) imply:
% 159.21/24.09 | (747) all_217_0 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (573), (574) imply:
% 159.21/24.09 | (748) all_211_0 = all_207_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (748) implies:
% 159.21/24.09 | (749) all_211_0 = all_207_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (574), (575) imply:
% 159.21/24.09 | (750) all_207_0 = all_201_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (744), (745) imply:
% 159.21/24.09 | (751) all_131_0 = all_127_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (745), (746) imply:
% 159.21/24.09 | (752) all_131_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (742), (749) imply:
% 159.21/24.09 | (753) all_207_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (753) implies:
% 159.21/24.09 | (754) all_207_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (713), (714) imply:
% 159.21/24.09 | (755) all_169_0 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (750), (754) imply:
% 159.21/24.09 | (756) all_201_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (756) implies:
% 159.21/24.09 | (757) all_201_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (571), (572) imply:
% 159.21/24.09 | (758) all_185_0 = all_171_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (570), (571) imply:
% 159.21/24.09 | (759) all_201_0 = all_185_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (759) implies:
% 159.21/24.09 | (760) all_201_0 = all_185_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (757), (760) imply:
% 159.21/24.09 | (761) all_185_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (761) implies:
% 159.21/24.09 | (762) all_185_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (568), (569) imply:
% 159.21/24.09 | (763) all_173_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (763) implies:
% 159.21/24.09 | (764) all_173_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (563), (564) imply:
% 159.21/24.09 | (765) all_165_0 = all_163_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (765) implies:
% 159.21/24.09 | (766) all_165_0 = all_163_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (677), (712) imply:
% 159.21/24.09 | (767) all_189_0 = n6
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (758), (762) imply:
% 159.21/24.09 | (768) all_171_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (768) implies:
% 159.21/24.09 | (769) all_171_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (580), (581) imply:
% 159.21/24.09 | (770) all_151_0 = all_125_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (770) implies:
% 159.21/24.09 | (771) all_151_0 = all_125_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (565), (567) imply:
% 159.21/24.09 | (772) all_143_0 = all_96_33
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (565), (566) imply:
% 159.21/24.09 | (773) all_143_0 = all_141_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (565), (764) imply:
% 159.21/24.09 | (774) all_143_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (562), (766) imply:
% 159.21/24.09 | (775) all_163_0 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (722), (739) imply:
% 159.21/24.09 | (776) all_159_0 = n3
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (776) implies:
% 159.21/24.09 | (777) all_159_0 = n3
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (558), (559) imply:
% 159.21/24.09 | (778) all_96_32 = tptp_minus_1
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (778) implies:
% 159.21/24.09 | (779) all_96_32 = tptp_minus_1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (579), (771) imply:
% 159.21/24.09 | (780) all_125_0 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (578), (771) imply:
% 159.21/24.09 | (781) all_127_0 = all_125_0
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (781) implies:
% 159.21/24.09 | (782) all_127_0 = all_125_0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (560), (561) imply:
% 159.21/24.09 | (783) all_137_0 = n0
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (772), (773) imply:
% 159.21/24.09 | (784) all_141_0 = all_96_33
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (773), (774) imply:
% 159.21/24.09 | (785) all_141_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (784), (785) imply:
% 159.21/24.09 | (786) all_96_33 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (751), (752) imply:
% 159.21/24.09 | (787) all_127_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (787) implies:
% 159.21/24.09 | (788) all_127_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (782), (788) imply:
% 159.21/24.09 | (789) all_125_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | SIMP: (789) implies:
% 159.21/24.09 | (790) all_125_0 = all_96_34
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (780), (790) imply:
% 159.21/24.09 | (791) all_96_34 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (571), (762) imply:
% 159.21/24.09 | (792) all_203_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (574), (754) imply:
% 159.21/24.09 | (793) all_215_0 = all_96_35
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (587), (747) imply:
% 159.21/24.09 | (794) all_247_0 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (720), (743) imply:
% 159.21/24.09 | (795) all_249_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (698), (743) imply:
% 159.21/24.09 | (796) all_257_0 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (692), (740) imply:
% 159.21/24.09 | (797) all_259_0 = n4
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (710), (767) imply:
% 159.21/24.09 | (798) all_265_0 = n6
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (672), (767) imply:
% 159.21/24.09 | (799) all_267_0 = n6
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (605), (722) imply:
% 159.21/24.09 | (800) all_269_1 = n3
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (689), (743) imply:
% 159.21/24.09 | (801) all_275_1 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (694), (737) imply:
% 159.21/24.09 | (802) all_277_1 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (668), (737) imply:
% 159.21/24.09 | (803) all_279_1 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (652), (797) imply:
% 159.21/24.09 | (804) all_281_1 = n4
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (646), (743) imply:
% 159.21/24.09 | (805) all_283_1 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (670), (680) imply:
% 159.21/24.09 | (806) all_291_1 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (622), (755) imply:
% 159.21/24.09 | (807) all_295_2 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (628), (799) imply:
% 159.21/24.09 | (808) all_297_2 = n6
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (624), (680) imply:
% 159.21/24.09 | (809) all_299_2 = n5
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (591), (737) imply:
% 159.21/24.09 | (810) all_301_2 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (593), (803) imply:
% 159.21/24.09 | (811) all_303_2 = n1
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (615), (701) imply:
% 159.21/24.09 | (812) all_311_2 = n4
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (617), (797) imply:
% 159.21/24.09 | (813) all_313_2 = n4
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (602), (743) imply:
% 159.21/24.09 | (814) all_317_2 = n2
% 159.21/24.09 |
% 159.21/24.09 | COMBINE_EQS: (631), (767) imply:
% 159.21/24.09 | (815) all_319_2 = n6
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (391), (747) imply:
% 159.21/24.09 | (816) plus(n2, tptp_minus_1) = n1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (375), (743) imply:
% 159.21/24.09 | (817) plus(n2, n0) = n2
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (557), (815) imply:
% 159.21/24.09 | (818) succ(n6) = all_319_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (552), (814) imply:
% 159.21/24.09 | (819) succ(n2) = all_317_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (548), (606) imply:
% 159.21/24.09 | (820) succ(n3) = all_315_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (544), (813) imply:
% 159.21/24.09 | (821) succ(n4) = all_313_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (540), (812) imply:
% 159.21/24.09 | (822) succ(n4) = all_311_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (535), (647) imply:
% 159.21/24.09 | (823) succ(n3) = all_309_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (529), (598) imply:
% 159.21/24.09 | (824) succ(n2) = all_307_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (521), (811) imply:
% 159.21/24.09 | (825) succ(n1) = all_303_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (515), (810) imply:
% 159.21/24.09 | (826) succ(n1) = all_301_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (510), (809) imply:
% 159.21/24.09 | (827) succ(n5) = all_299_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (507), (808) imply:
% 159.21/24.09 | (828) succ(n6) = all_297_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (503), (807) imply:
% 159.21/24.09 | (829) succ(n5) = all_295_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (500), (625) imply:
% 159.21/24.09 | (830) succ(n6) = all_293_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (497), (806) imply:
% 159.21/24.09 | (831) succ(n5) = all_291_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (494), (618) imply:
% 159.21/24.09 | (832) succ(n5) = all_289_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (486), (805) imply:
% 159.21/24.09 | (833) succ(n2) = all_283_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (483), (804) imply:
% 159.21/24.09 | (834) succ(n4) = all_281_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (479), (803) imply:
% 159.21/24.09 | (835) succ(n1) = all_279_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (474), (802) imply:
% 159.21/24.09 | (836) succ(n1) = all_277_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (468), (801) imply:
% 159.21/24.09 | (837) succ(n2) = all_275_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (465), (611) imply:
% 159.21/24.09 | (838) succ(n4) = all_273_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (462), (656) imply:
% 159.21/24.09 | (839) succ(n3) = all_271_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (459), (800) imply:
% 159.21/24.09 | (840) succ(n3) = all_269_0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (456), (799) imply:
% 159.21/24.09 | (841) succ(n6) = all_267_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (453), (798) imply:
% 159.21/24.09 | (842) succ(n6) = all_265_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (450), (680) imply:
% 159.21/24.09 | (843) succ(n5) = all_263_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (443), (796) imply:
% 159.21/24.09 | (844) succ(n2) = all_257_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (438), (588) imply:
% 159.21/24.09 | (845) succ(n1) = all_253_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (430), (795) imply:
% 159.21/24.09 | (846) succ(n2) = all_249_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (426), (794) imply:
% 159.21/24.09 | (847) succ(n1) = all_247_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (433), (634), (642) imply:
% 159.21/24.09 | (848) leq(all_187_0, all_177_0) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (418), (724), (728) imply:
% 159.21/24.09 | (849) leq(n1, all_187_0) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (412), (779) imply:
% 159.21/24.09 | (850) leq(tptp_minus_1, n0) = all_237_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (410), (791) imply:
% 159.21/24.09 | (851) leq(n5, n6) = all_231_1
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (377), (754) imply:
% 159.21/24.09 | (852) leq(n6, all_96_35) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (403), (726) imply:
% 159.21/24.09 | (853) leq(pv5, all_177_0) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (354), (762) imply:
% 159.21/24.09 | (854) leq(n5, all_96_35) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (343), (769) imply:
% 159.21/24.09 | (855) leq(n4, all_96_35) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (387), (793) imply:
% 159.21/24.09 | (856) leq(n3, all_96_35) = 0
% 159.21/24.09 |
% 159.21/24.09 | REDUCE: (399), (577) imply:
% 159.21/24.10 | (857) leq(n2, all_96_35) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (382), (742) imply:
% 159.21/24.10 | (858) leq(n1, all_96_35) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (371), (792) imply:
% 159.21/24.10 | (859) leq(tptp_minus_1, all_96_35) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (316), (783) imply:
% 159.21/24.10 | (860) leq(tptp_minus_1, n0) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (407), (735) imply:
% 159.21/24.10 | (861) leq(n0, all_187_0) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (368), (757) imply:
% 159.21/24.10 | (862) leq(n0, all_96_35) = 0
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (406), (735) imply:
% 159.21/24.10 | (863) $i(all_187_0)
% 159.21/24.10 |
% 159.21/24.10 | REDUCE: (402), (726) imply:
% 159.21/24.10 | (864) $i(all_177_0)
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (69) with 0, all_237_1, n0, tptp_minus_1,
% 159.21/24.10 | simplifying with (850), (860) gives:
% 159.21/24.10 | (865) all_237_1 = 0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (69) with 0, all_231_1, n6, n5, simplifying with
% 159.21/24.10 | (219), (851) gives:
% 159.21/24.10 | (866) all_231_1 = 0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_253_1, all_277_0, n1, simplifying
% 159.21/24.10 | with (836), (845) gives:
% 159.21/24.10 | (867) all_277_0 = all_253_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with n2, all_301_1, n1, simplifying with
% 159.21/24.10 | (143), (826) gives:
% 159.21/24.10 | (868) all_301_1 = n2
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_279_0, all_301_1, n1, simplifying
% 159.21/24.10 | with (826), (835) gives:
% 159.21/24.10 | (869) all_301_1 = all_279_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_277_0, all_301_1, n1, simplifying
% 159.21/24.10 | with (826), (836) gives:
% 159.21/24.10 | (870) all_301_1 = all_277_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_277_0, all_303_1, n1, simplifying
% 159.21/24.10 | with (825), (836) gives:
% 159.21/24.10 | (871) all_303_1 = all_277_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_247_1, all_303_1, n1, simplifying
% 159.21/24.10 | with (825), (847) gives:
% 159.21/24.10 | (872) all_303_1 = all_247_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_257_1, all_275_0, n2, simplifying
% 159.21/24.10 | with (837), (844) gives:
% 159.21/24.10 | (873) all_275_0 = all_257_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_257_1, all_283_0, n2, simplifying
% 159.21/24.10 | with (833), (844) gives:
% 159.21/24.10 | (874) all_283_0 = all_257_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_249_1, all_283_0, n2, simplifying
% 159.21/24.10 | with (833), (846) gives:
% 159.21/24.10 | (875) all_283_0 = all_249_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_275_0, all_307_1, n2, simplifying
% 159.21/24.10 | with (824), (837) gives:
% 159.21/24.10 | (876) all_307_1 = all_275_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with n3, all_317_1, n2, simplifying with
% 159.21/24.10 | (158), (819) gives:
% 159.21/24.10 | (877) all_317_1 = n3
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_307_1, all_317_1, n2, simplifying
% 159.21/24.10 | with (819), (824) gives:
% 159.21/24.10 | (878) all_317_1 = all_307_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with n4, all_271_0, n3, simplifying with
% 159.21/24.10 | (169), (839) gives:
% 159.21/24.10 | (879) all_271_0 = n4
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_271_0, all_309_1, n3, simplifying
% 159.21/24.10 | with (823), (839) gives:
% 159.21/24.10 | (880) all_309_1 = all_271_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_309_1, all_315_1, n3, simplifying
% 159.21/24.10 | with (820), (823) gives:
% 159.21/24.10 | (881) all_315_1 = all_309_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_269_0, all_315_1, n3, simplifying
% 159.21/24.10 | with (820), (840) gives:
% 159.21/24.10 | (882) all_315_1 = all_269_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with n5, all_311_1, n4, simplifying with
% 159.21/24.10 | (176), (822) gives:
% 159.21/24.10 | (883) all_311_1 = n5
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_311_1, all_313_1, n4, simplifying
% 159.21/24.10 | with (821), (822) gives:
% 159.21/24.10 | (884) all_313_1 = all_311_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_281_0, all_313_1, n4, simplifying
% 159.21/24.10 | with (821), (834) gives:
% 159.21/24.10 | (885) all_313_1 = all_281_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_273_0, all_313_1, n4, simplifying
% 159.21/24.10 | with (821), (838) gives:
% 159.21/24.10 | (886) all_313_1 = all_273_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_289_0, all_291_0, n5, simplifying
% 159.21/24.10 | with (831), (832) gives:
% 159.21/24.10 | (887) all_291_0 = all_289_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with n6, all_295_1, n5, simplifying with
% 159.21/24.10 | (179), (829) gives:
% 159.21/24.10 | (888) all_295_1 = n6
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_289_0, all_295_1, n5, simplifying
% 159.21/24.10 | with (829), (832) gives:
% 159.21/24.10 | (889) all_295_1 = all_289_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_291_0, all_299_1, n5, simplifying
% 159.21/24.10 | with (827), (831) gives:
% 159.21/24.10 | (890) all_299_1 = all_291_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_263_1, all_299_1, n5, simplifying
% 159.21/24.10 | with (827), (843) gives:
% 159.21/24.10 | (891) all_299_1 = all_263_1
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_129_0, all_267_1, n6, simplifying
% 159.21/24.10 | with (311), (841) gives:
% 159.21/24.10 | (892) all_267_1 = all_129_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_293_0, all_297_1, n6, simplifying
% 159.21/24.10 | with (828), (830) gives:
% 159.21/24.10 | (893) all_297_1 = all_293_0
% 159.21/24.10 |
% 159.21/24.10 | GROUND_INST: instantiating (68) with all_267_1, all_297_1, n6, simplifying
% 159.21/24.10 | with (828), (841) gives:
% 159.38/24.10 | (894) all_297_1 = all_267_1
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_297_1, all_319_1, n6, simplifying
% 159.38/24.10 | with (818), (828) gives:
% 159.38/24.10 | (895) all_319_1 = all_297_1
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_265_1, all_319_1, n6, simplifying
% 159.38/24.10 | with (818), (842) gives:
% 159.38/24.10 | (896) all_319_1 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (895), (896) imply:
% 159.38/24.10 | (897) all_297_1 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (897) implies:
% 159.38/24.10 | (898) all_297_1 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (877), (878) imply:
% 159.38/24.10 | (899) all_307_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (899) implies:
% 159.38/24.10 | (900) all_307_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (881), (882) imply:
% 159.38/24.10 | (901) all_309_1 = all_269_0
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (901) implies:
% 159.38/24.10 | (902) all_309_1 = all_269_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (884), (885) imply:
% 159.38/24.10 | (903) all_311_1 = all_281_0
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (903) implies:
% 159.38/24.10 | (904) all_311_1 = all_281_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (885), (886) imply:
% 159.38/24.10 | (905) all_281_0 = all_273_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (883), (904) imply:
% 159.38/24.10 | (906) all_281_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (906) implies:
% 159.38/24.10 | (907) all_281_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (880), (902) imply:
% 159.38/24.10 | (908) all_271_0 = all_269_0
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (908) implies:
% 159.38/24.10 | (909) all_271_0 = all_269_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (876), (900) imply:
% 159.38/24.10 | (910) all_275_0 = n3
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (910) implies:
% 159.38/24.10 | (911) all_275_0 = n3
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (871), (872) imply:
% 159.38/24.10 | (912) all_277_0 = all_247_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (912) implies:
% 159.38/24.10 | (913) all_277_0 = all_247_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (869), (870) imply:
% 159.38/24.10 | (914) all_279_0 = all_277_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (868), (869) imply:
% 159.38/24.10 | (915) all_279_0 = n2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (890), (891) imply:
% 159.38/24.10 | (916) all_291_0 = all_263_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (916) implies:
% 159.38/24.10 | (917) all_291_0 = all_263_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (893), (898) imply:
% 159.38/24.10 | (918) all_293_0 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (893), (894) imply:
% 159.38/24.10 | (919) all_293_0 = all_267_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (888), (889) imply:
% 159.38/24.10 | (920) all_289_0 = n6
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (920) implies:
% 159.38/24.10 | (921) all_289_0 = n6
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (918), (919) imply:
% 159.38/24.10 | (922) all_267_1 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (922) implies:
% 159.38/24.10 | (923) all_267_1 = all_265_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (887), (917) imply:
% 159.38/24.10 | (924) all_289_0 = all_263_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (924) implies:
% 159.38/24.10 | (925) all_289_0 = all_263_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (921), (925) imply:
% 159.38/24.10 | (926) all_263_1 = n6
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (926) implies:
% 159.38/24.10 | (927) all_263_1 = n6
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (874), (875) imply:
% 159.38/24.10 | (928) all_257_1 = all_249_1
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (928) implies:
% 159.38/24.10 | (929) all_257_1 = all_249_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (905), (907) imply:
% 159.38/24.10 | (930) all_273_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (930) implies:
% 159.38/24.10 | (931) all_273_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (914), (915) imply:
% 159.38/24.10 | (932) all_277_0 = n2
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (932) implies:
% 159.38/24.10 | (933) all_277_0 = n2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (867), (933) imply:
% 159.38/24.10 | (934) all_253_1 = n2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (867), (913) imply:
% 159.38/24.10 | (935) all_253_1 = all_247_1
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (873), (911) imply:
% 159.38/24.10 | (936) all_257_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (936) implies:
% 159.38/24.10 | (937) all_257_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (879), (909) imply:
% 159.38/24.10 | (938) all_269_0 = n4
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (892), (923) imply:
% 159.38/24.10 | (939) all_265_1 = all_129_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (929), (937) imply:
% 159.38/24.10 | (940) all_249_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (940) implies:
% 159.38/24.10 | (941) all_249_1 = n3
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (934), (935) imply:
% 159.38/24.10 | (942) all_247_1 = n2
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (942) implies:
% 159.38/24.10 | (943) all_247_1 = n2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (875), (941) imply:
% 159.38/24.10 | (944) all_283_0 = n3
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (891), (927) imply:
% 159.38/24.10 | (945) all_299_1 = n6
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (872), (943) imply:
% 159.38/24.10 | (946) all_303_1 = n2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (902), (938) imply:
% 159.38/24.10 | (947) all_309_1 = n4
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (885), (907) imply:
% 159.38/24.10 | (948) all_313_1 = n5
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (882), (938) imply:
% 159.38/24.10 | (949) all_315_1 = n4
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (427), (943) imply:
% 159.38/24.10 | (950) plus(n3, tptp_minus_1) = n2
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (431), (941) imply:
% 159.38/24.10 | (951) plus(n3, n0) = n3
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (553), (877) imply:
% 159.38/24.10 | (952) succ(n3) = all_317_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (549), (949) imply:
% 159.38/24.10 | (953) succ(n4) = all_315_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (545), (948) imply:
% 159.38/24.10 | (954) succ(n5) = all_313_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (541), (883) imply:
% 159.38/24.10 | (955) succ(n5) = all_311_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (536), (947) imply:
% 159.38/24.10 | (956) succ(n4) = all_309_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (530), (900) imply:
% 159.38/24.10 | (957) succ(n3) = all_307_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (522), (946) imply:
% 159.38/24.10 | (958) succ(n2) = all_303_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (516), (868) imply:
% 159.38/24.10 | (959) succ(n2) = all_301_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (511), (945) imply:
% 159.38/24.10 | (960) succ(n6) = all_299_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (504), (888) imply:
% 159.38/24.10 | (961) succ(n6) = all_295_0
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (487), (944) imply:
% 159.38/24.10 | (962) succ(n3) = all_283_2
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (480), (915) imply:
% 159.38/24.10 | (963) succ(n2) = all_279_2
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (475), (933) imply:
% 159.38/24.10 | (964) succ(n2) = all_277_2
% 159.38/24.10 |
% 159.38/24.10 | REDUCE: (469), (911) imply:
% 159.38/24.10 | (965) succ(n3) = all_275_2
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_277_2, all_279_2, n2, simplifying
% 159.38/24.10 | with (963), (964) gives:
% 159.38/24.10 | (966) all_279_2 = all_277_2
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with n3, all_303_0, n2, simplifying with
% 159.38/24.10 | (158), (958) gives:
% 159.38/24.10 | (967) all_303_0 = n3
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_301_0, all_303_0, n2, simplifying
% 159.38/24.10 | with (958), (959) gives:
% 159.38/24.10 | (968) all_303_0 = all_301_0
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_279_2, all_303_0, n2, simplifying
% 159.38/24.10 | with (958), (963) gives:
% 159.38/24.10 | (969) all_303_0 = all_279_2
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with n4, all_283_2, n3, simplifying with
% 159.38/24.10 | (169), (962) gives:
% 159.38/24.10 | (970) all_283_2 = n4
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_283_2, all_307_0, n3, simplifying
% 159.38/24.10 | with (957), (962) gives:
% 159.38/24.10 | (971) all_307_0 = all_283_2
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_307_0, all_317_0, n3, simplifying
% 159.38/24.10 | with (952), (957) gives:
% 159.38/24.10 | (972) all_317_0 = all_307_0
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_275_2, all_317_0, n3, simplifying
% 159.38/24.10 | with (952), (965) gives:
% 159.38/24.10 | (973) all_317_0 = all_275_2
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with n5, all_315_0, n4, simplifying with
% 159.38/24.10 | (176), (953) gives:
% 159.38/24.10 | (974) all_315_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_309_0, all_315_0, n4, simplifying
% 159.38/24.10 | with (953), (956) gives:
% 159.38/24.10 | (975) all_315_0 = all_309_0
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with n6, all_313_0, n5, simplifying with
% 159.38/24.10 | (179), (954) gives:
% 159.38/24.10 | (976) all_313_0 = n6
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_311_0, all_313_0, n5, simplifying
% 159.38/24.10 | with (954), (955) gives:
% 159.38/24.10 | (977) all_313_0 = all_311_0
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_129_0, all_299_0, n6, simplifying
% 159.38/24.10 | with (311), (960) gives:
% 159.38/24.10 | (978) all_299_0 = all_129_0
% 159.38/24.10 |
% 159.38/24.10 | GROUND_INST: instantiating (68) with all_295_0, all_299_0, n6, simplifying
% 159.38/24.10 | with (960), (961) gives:
% 159.38/24.10 | (979) all_299_0 = all_295_0
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (972), (973) imply:
% 159.38/24.10 | (980) all_307_0 = all_275_2
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (980) implies:
% 159.38/24.10 | (981) all_307_0 = all_275_2
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (974), (975) imply:
% 159.38/24.10 | (982) all_309_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (982) implies:
% 159.38/24.10 | (983) all_309_0 = n5
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (976), (977) imply:
% 159.38/24.10 | (984) all_311_0 = n6
% 159.38/24.10 |
% 159.38/24.10 | SIMP: (984) implies:
% 159.38/24.10 | (985) all_311_0 = n6
% 159.38/24.10 |
% 159.38/24.10 | COMBINE_EQS: (971), (981) imply:
% 159.38/24.10 | (986) all_283_2 = all_275_2
% 159.38/24.10 |
% 159.38/24.11 | SIMP: (986) implies:
% 159.38/24.11 | (987) all_283_2 = all_275_2
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (967), (968) imply:
% 159.38/24.11 | (988) all_301_0 = n3
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (968), (969) imply:
% 159.38/24.11 | (989) all_301_0 = all_279_2
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (988), (989) imply:
% 159.38/24.11 | (990) all_279_2 = n3
% 159.38/24.11 |
% 159.38/24.11 | SIMP: (990) implies:
% 159.38/24.11 | (991) all_279_2 = n3
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (978), (979) imply:
% 159.38/24.11 | (992) all_295_0 = all_129_0
% 159.38/24.11 |
% 159.38/24.11 | SIMP: (992) implies:
% 159.38/24.11 | (993) all_295_0 = all_129_0
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (970), (987) imply:
% 159.38/24.11 | (994) all_275_2 = n4
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (966), (991) imply:
% 159.38/24.11 | (995) all_277_2 = n3
% 159.38/24.11 |
% 159.38/24.11 | SIMP: (995) implies:
% 159.38/24.11 | (996) all_277_2 = n3
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (981), (994) imply:
% 159.38/24.11 | (997) all_307_0 = n4
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (973), (994) imply:
% 159.38/24.11 | (998) all_317_0 = n4
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (476), (996) imply:
% 159.38/24.11 | (999) plus(n4, tptp_minus_1) = n3
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (470), (994) imply:
% 159.38/24.11 | (1000) plus(n4, n0) = n4
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (554), (998) imply:
% 159.38/24.11 | (1001) succ(n4) = all_317_3
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (531), (997) imply:
% 159.38/24.11 | (1002) succ(n4) = all_307_3
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (523), (967) imply:
% 159.38/24.11 | (1003) succ(n3) = all_303_3
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (517), (988) imply:
% 159.38/24.11 | (1004) succ(n3) = all_301_3
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (68) with n4, all_303_3, n3, simplifying with
% 159.38/24.11 | (169), (1003) gives:
% 159.38/24.11 | (1005) all_303_3 = n4
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (68) with all_301_3, all_303_3, n3, simplifying
% 159.38/24.11 | with (1003), (1004) gives:
% 159.38/24.11 | (1006) all_303_3 = all_301_3
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (68) with n5, all_317_3, n4, simplifying with
% 159.38/24.11 | (176), (1001) gives:
% 159.38/24.11 | (1007) all_317_3 = n5
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (68) with all_307_3, all_317_3, n4, simplifying
% 159.38/24.11 | with (1001), (1002) gives:
% 159.38/24.11 | (1008) all_317_3 = all_307_3
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (1007), (1008) imply:
% 159.38/24.11 | (1009) all_307_3 = n5
% 159.38/24.11 |
% 159.38/24.11 | COMBINE_EQS: (1005), (1006) imply:
% 159.38/24.11 | (1010) all_301_3 = n4
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (518), (1010) imply:
% 159.38/24.11 | (1011) plus(n5, tptp_minus_1) = n4
% 159.38/24.11 |
% 159.38/24.11 | REDUCE: (532), (1009) imply:
% 159.38/24.11 | (1012) plus(n5, n0) = n5
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (4) with tptp_minus_1, pv5, simplifying with (36),
% 159.38/24.11 | (63), (240) gives:
% 159.38/24.11 | (1013) ? [v0: $i] : (pred(pv5) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (4) with n0, all_187_0, simplifying with (62),
% 159.38/24.11 | (357), (863) gives:
% 159.38/24.11 | (1014) ? [v0: $i] : (pred(all_187_0) = v0 & leq(n0, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n0, n999, simplifying with (62), (64),
% 159.38/24.11 | (191) gives:
% 159.38/24.11 | (1015) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n0) = v0 &
% 159.38/24.11 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n0, n999, simplifying with (62), (64),
% 159.38/24.11 | (191) gives:
% 159.38/24.11 | (1016) ? [v0: $i] : (succ(n999) = v0 & leq(n0, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with n0, n999, simplifying with (62), (64),
% 159.38/24.11 | (191) gives:
% 159.38/24.11 | (1017) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n0, n6, simplifying with (62), (65),
% 159.38/24.11 | (207) gives:
% 159.38/24.11 | (1018) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n0) = v0 & leq(v0,
% 159.38/24.11 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n0, n6, simplifying with (62), (65), (207)
% 159.38/24.11 | gives:
% 159.38/24.11 | (1019) ? [v0: $i] : (succ(n6) = v0 & leq(n0, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with n0, n6, simplifying with (62), (65), (207)
% 159.38/24.11 | gives:
% 159.38/24.11 | (1020) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n0, all_96_35, simplifying with (62),
% 159.38/24.11 | (103), (862) gives:
% 159.38/24.11 | (1021) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n0) = v0 &
% 159.38/24.11 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n0, all_96_35, simplifying with (62),
% 159.38/24.11 | (103), (862) gives:
% 159.38/24.11 | (1022) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n0, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with n0, all_96_35, simplifying with (62),
% 159.38/24.11 | (103), (862) gives:
% 159.38/24.11 | (1023) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n0, all_187_0, simplifying with (62),
% 159.38/24.11 | (861), (863) gives:
% 159.38/24.11 | (1024) ? [v0: $i] : ? [v1: $i] : (succ(all_187_0) = v1 & succ(n0) = v0 &
% 159.38/24.11 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n0, all_187_0, simplifying with (62),
% 159.38/24.11 | (861), (863) gives:
% 159.38/24.11 | (1025) ? [v0: $i] : (succ(all_187_0) = v0 & leq(n0, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with n0, all_187_0, simplifying with (62),
% 159.38/24.11 | (861), (863) gives:
% 159.38/24.11 | (1026) ? [v0: $i] : (succ(all_187_0) = v0 & gt(v0, n0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (54) with tptp_minus_1, simplifying with (36),
% 159.38/24.11 | (860) gives:
% 159.38/24.11 | (1027) tptp_minus_1 = n0 | ? [v0: int] : ( ~ (v0 = 0) & leq(n0,
% 159.38/24.11 | tptp_minus_1) = v0)
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with tptp_minus_1, n999, simplifying with
% 159.38/24.11 | (36), (64), (193) gives:
% 159.38/24.11 | (1028) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(tptp_minus_1) =
% 159.38/24.11 | v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with tptp_minus_1, n999, simplifying with (36),
% 159.38/24.11 | (64), (193) gives:
% 159.38/24.11 | (1029) ? [v0: $i] : (succ(n999) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with tptp_minus_1, n999, simplifying with (36),
% 159.38/24.11 | (64), (193) gives:
% 159.38/24.11 | (1030) ? [v0: $i] : (succ(n999) = v0 & gt(v0, tptp_minus_1) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with tptp_minus_1, n6, simplifying with (36),
% 159.38/24.11 | (65), (209) gives:
% 159.38/24.11 | (1031) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(tptp_minus_1) = v0
% 159.38/24.11 | & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with tptp_minus_1, n6, simplifying with (36),
% 159.38/24.11 | (65), (209) gives:
% 159.38/24.11 | (1032) ? [v0: $i] : (succ(n6) = v0 & leq(tptp_minus_1, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with tptp_minus_1, n6, simplifying with (36),
% 159.38/24.11 | (65), (209) gives:
% 159.38/24.11 | (1033) ? [v0: $i] : (succ(n6) = v0 & gt(v0, tptp_minus_1) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with tptp_minus_1, all_96_35, simplifying with
% 159.38/24.11 | (36), (103), (859) gives:
% 159.38/24.11 | (1034) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 &
% 159.38/24.11 | succ(tptp_minus_1) = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with tptp_minus_1, all_96_35, simplifying with
% 159.38/24.11 | (36), (103), (859) gives:
% 159.38/24.11 | (1035) ? [v0: $i] : (succ(all_96_35) = v0 & leq(tptp_minus_1, v0) = 0 &
% 159.38/24.11 | $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with tptp_minus_1, all_96_35, simplifying with
% 159.38/24.11 | (36), (103), (859) gives:
% 159.38/24.11 | (1036) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, tptp_minus_1) = 0 &
% 159.38/24.11 | $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n1, n999, simplifying with (64), (144),
% 159.38/24.11 | (195) gives:
% 159.38/24.11 | (1037) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n1) = v0 &
% 159.38/24.11 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n1, n999, simplifying with (64), (144),
% 159.38/24.11 | (195) gives:
% 159.38/24.11 | (1038) ? [v0: $i] : (succ(n999) = v0 & leq(n1, v0) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (7) with n1, n999, simplifying with (64), (144),
% 159.38/24.11 | (195) gives:
% 159.38/24.11 | (1039) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n1) = 0 & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (21) with n1, n6, simplifying with (65), (144),
% 159.38/24.11 | (211) gives:
% 159.38/24.11 | (1040) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n1) = v0 & leq(v0,
% 159.38/24.11 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.11 |
% 159.38/24.11 | GROUND_INST: instantiating (6) with n1, n6, simplifying with (65), (144),
% 159.38/24.11 | (211) gives:
% 159.38/24.12 | (1041) ? [v0: $i] : (succ(n6) = v0 & leq(n1, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n1, n6, simplifying with (65), (144),
% 159.38/24.12 | (211) gives:
% 159.38/24.12 | (1042) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n1) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n1, all_96_35, simplifying with (103),
% 159.38/24.12 | (144), (858) gives:
% 159.38/24.12 | (1043) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n1) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n1, all_96_35, simplifying with (103),
% 159.38/24.12 | (144), (858) gives:
% 159.38/24.12 | (1044) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n1, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n1, all_96_35, simplifying with (103),
% 159.38/24.12 | (144), (858) gives:
% 159.38/24.12 | (1045) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n1) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n1, all_187_0, simplifying with (144),
% 159.38/24.12 | (849), (863) gives:
% 159.38/24.12 | (1046) ? [v0: $i] : ? [v1: $i] : (succ(all_187_0) = v1 & succ(n1) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n1, all_187_0, simplifying with (144),
% 159.38/24.12 | (849), (863) gives:
% 159.38/24.12 | (1047) ? [v0: $i] : (succ(all_187_0) = v0 & leq(n1, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n1, all_187_0, simplifying with (144),
% 159.38/24.12 | (849), (863) gives:
% 159.38/24.12 | (1048) ? [v0: $i] : (succ(all_187_0) = v0 & gt(v0, n1) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n2, n999, simplifying with (64), (159),
% 159.38/24.12 | (197) gives:
% 159.38/24.12 | (1049) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n2) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n2, n999, simplifying with (64), (159),
% 159.38/24.12 | (197) gives:
% 159.38/24.12 | (1050) ? [v0: $i] : (succ(n999) = v0 & leq(n2, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n2, n999, simplifying with (64), (159),
% 159.38/24.12 | (197) gives:
% 159.38/24.12 | (1051) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n2) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n2, n6, simplifying with (65), (159),
% 159.38/24.12 | (213) gives:
% 159.38/24.12 | (1052) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n2) = v0 & leq(v0,
% 159.38/24.12 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n2, n6, simplifying with (65), (159),
% 159.38/24.12 | (213) gives:
% 159.38/24.12 | (1053) ? [v0: $i] : (succ(n6) = v0 & leq(n2, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n2, n6, simplifying with (65), (159),
% 159.38/24.12 | (213) gives:
% 159.38/24.12 | (1054) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n2) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n2, all_96_35, simplifying with (103),
% 159.38/24.12 | (159), (857) gives:
% 159.38/24.12 | (1055) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n2) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n2, all_96_35, simplifying with (103),
% 159.38/24.12 | (159), (857) gives:
% 159.38/24.12 | (1056) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n2, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n2, all_96_35, simplifying with (103),
% 159.38/24.12 | (159), (857) gives:
% 159.38/24.12 | (1057) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n2) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n3, n999, simplifying with (64), (170),
% 159.38/24.12 | (199) gives:
% 159.38/24.12 | (1058) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n3) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n3, n999, simplifying with (64), (170),
% 159.38/24.12 | (199) gives:
% 159.38/24.12 | (1059) ? [v0: $i] : (succ(n999) = v0 & leq(n3, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n3, n999, simplifying with (64), (170),
% 159.38/24.12 | (199) gives:
% 159.38/24.12 | (1060) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n3) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n3, n6, simplifying with (65), (170),
% 159.38/24.12 | (215) gives:
% 159.38/24.12 | (1061) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n3) = v0 & leq(v0,
% 159.38/24.12 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n3, n6, simplifying with (65), (170),
% 159.38/24.12 | (215) gives:
% 159.38/24.12 | (1062) ? [v0: $i] : (succ(n6) = v0 & leq(n3, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n3, n6, simplifying with (65), (170),
% 159.38/24.12 | (215) gives:
% 159.38/24.12 | (1063) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n3) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n3, all_96_35, simplifying with (103),
% 159.38/24.12 | (170), (856) gives:
% 159.38/24.12 | (1064) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n3) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n3, all_96_35, simplifying with (103),
% 159.38/24.12 | (170), (856) gives:
% 159.38/24.12 | (1065) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n3, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n3, all_96_35, simplifying with (103),
% 159.38/24.12 | (170), (856) gives:
% 159.38/24.12 | (1066) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n3) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n4, n999, simplifying with (64), (177),
% 159.38/24.12 | (201) gives:
% 159.38/24.12 | (1067) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n4) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n4, n999, simplifying with (64), (177),
% 159.38/24.12 | (201) gives:
% 159.38/24.12 | (1068) ? [v0: $i] : (succ(n999) = v0 & leq(n4, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n4, n999, simplifying with (64), (177),
% 159.38/24.12 | (201) gives:
% 159.38/24.12 | (1069) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n4) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n4, n6, simplifying with (65), (177),
% 159.38/24.12 | (217) gives:
% 159.38/24.12 | (1070) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n4) = v0 & leq(v0,
% 159.38/24.12 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n4, n6, simplifying with (65), (177),
% 159.38/24.12 | (217) gives:
% 159.38/24.12 | (1071) ? [v0: $i] : (succ(n6) = v0 & leq(n4, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n4, n6, simplifying with (65), (177),
% 159.38/24.12 | (217) gives:
% 159.38/24.12 | (1072) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n4) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n4, all_96_35, simplifying with (103),
% 159.38/24.12 | (177), (855) gives:
% 159.38/24.12 | (1073) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n4) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n4, all_96_35, simplifying with (103),
% 159.38/24.12 | (177), (855) gives:
% 159.38/24.12 | (1074) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n4, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n4, all_96_35, simplifying with (103),
% 159.38/24.12 | (177), (855) gives:
% 159.38/24.12 | (1075) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n4) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (21) with n5, n999, simplifying with (64), (180),
% 159.38/24.12 | (203) gives:
% 159.38/24.12 | (1076) ? [v0: $i] : ? [v1: $i] : (succ(n999) = v1 & succ(n5) = v0 &
% 159.38/24.12 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (6) with n5, n999, simplifying with (64), (180),
% 159.38/24.12 | (203) gives:
% 159.38/24.12 | (1077) ? [v0: $i] : (succ(n999) = v0 & leq(n5, v0) = 0 & $i(v0))
% 159.38/24.12 |
% 159.38/24.12 | GROUND_INST: instantiating (7) with n5, n999, simplifying with (64), (180),
% 159.38/24.12 | (203) gives:
% 159.38/24.13 | (1078) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n5) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with n5, n6, simplifying with (65), (180),
% 159.38/24.13 | (219) gives:
% 159.38/24.13 | (1079) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v1 & succ(n5) = v0 & leq(v0,
% 159.38/24.13 | v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with n5, n6, simplifying with (65), (180),
% 159.38/24.13 | (219) gives:
% 159.38/24.13 | (1080) ? [v0: $i] : (succ(n6) = v0 & leq(n5, v0) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with n5, n6, simplifying with (65), (180),
% 159.38/24.13 | (219) gives:
% 159.38/24.13 | (1081) ? [v0: $i] : (succ(n6) = v0 & gt(v0, n5) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with n5, all_96_35, simplifying with (103),
% 159.38/24.13 | (180), (854) gives:
% 159.38/24.13 | (1082) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n5) = v0 &
% 159.38/24.13 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with n5, all_96_35, simplifying with (103),
% 159.38/24.13 | (180), (854) gives:
% 159.38/24.13 | (1083) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n5, v0) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with n5, all_96_35, simplifying with (103),
% 159.38/24.13 | (180), (854) gives:
% 159.38/24.13 | (1084) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n5) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with pv5, all_177_0, simplifying with (63),
% 159.38/24.13 | (853), (864) gives:
% 159.38/24.13 | (1085) ? [v0: $i] : ? [v1: $i] : (succ(all_177_0) = v1 & succ(pv5) = v0 &
% 159.38/24.13 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with pv5, all_177_0, simplifying with (63),
% 159.38/24.13 | (853), (864) gives:
% 159.38/24.13 | (1086) ? [v0: $i] : (succ(all_177_0) = v0 & leq(pv5, v0) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with pv5, all_177_0, simplifying with (63),
% 159.38/24.13 | (853), (864) gives:
% 159.38/24.13 | (1087) ? [v0: $i] : (succ(all_177_0) = v0 & gt(v0, pv5) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with n6, n999, simplifying with (64), (65),
% 159.38/24.13 | (205) gives:
% 159.38/24.13 | (1088) ? [v0: $i] : ? [v1: $i] : (succ(n6) = v0 & succ(n999) = v1 &
% 159.38/24.13 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with n6, n999, simplifying with (64), (65),
% 159.38/24.13 | (205) gives:
% 159.38/24.13 | (1089) ? [v0: $i] : (succ(n999) = v0 & leq(n6, v0) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with n6, n999, simplifying with (64), (65),
% 159.38/24.13 | (205) gives:
% 159.38/24.13 | (1090) ? [v0: $i] : (succ(n999) = v0 & gt(v0, n6) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with n6, all_96_35, simplifying with (65),
% 159.38/24.13 | (103), (852) gives:
% 159.38/24.13 | (1091) ? [v0: $i] : ? [v1: $i] : (succ(all_96_35) = v1 & succ(n6) = v0 &
% 159.38/24.13 | leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with n6, all_96_35, simplifying with (65),
% 159.38/24.13 | (103), (852) gives:
% 159.38/24.13 | (1092) ? [v0: $i] : (succ(all_96_35) = v0 & leq(n6, v0) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with n6, all_96_35, simplifying with (65),
% 159.38/24.13 | (103), (852) gives:
% 159.38/24.13 | (1093) ? [v0: $i] : (succ(all_96_35) = v0 & gt(v0, n6) = 0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (21) with all_187_0, all_177_0, simplifying with
% 159.38/24.13 | (848), (863), (864) gives:
% 159.38/24.13 | (1094) ? [v0: $i] : ? [v1: $i] : (succ(all_187_0) = v0 & succ(all_177_0)
% 159.38/24.13 | = v1 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (6) with all_187_0, all_177_0, simplifying with
% 159.38/24.13 | (848), (863), (864) gives:
% 159.38/24.13 | (1095) ? [v0: $i] : (succ(all_177_0) = v0 & leq(all_187_0, v0) = 0 &
% 159.38/24.13 | $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (7) with all_187_0, all_177_0, simplifying with
% 159.38/24.13 | (848), (863), (864) gives:
% 159.38/24.13 | (1096) ? [v0: $i] : (succ(all_177_0) = v0 & gt(v0, all_187_0) = 0 &
% 159.38/24.13 | $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (succ_pred) with n999, all_96_35, simplifying with
% 159.38/24.13 | (64), (302) gives:
% 159.38/24.13 | (1097) succ(all_96_35) = n999
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (23) with tptp_minus_1, pv5, n0, all_187_0,
% 159.38/24.13 | simplifying with (9), (36), (63), (358), (861) gives:
% 159.38/24.13 | (1098) leq(tptp_minus_1, pv5) = 0
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (pred_succ) with pv5, all_187_0, simplifying with
% 159.38/24.13 | (63), (358) gives:
% 159.38/24.13 | (1099) pred(all_187_0) = pv5
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (18) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1100) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(pv5,
% 159.38/24.13 | n5) = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 &
% 159.38/24.13 | succ(all_187_0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (19) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1101) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5,
% 159.38/24.13 | pv5) = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2 &
% 159.38/24.13 | succ(all_187_0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (16) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1102) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(pv5, n4) = v0 &
% 159.38/24.13 | succ(v2) = v0 & succ(v1) = v2 & succ(all_187_0) = v1 & $i(v2) &
% 159.38/24.13 | $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (17) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1103) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, pv5) = v0 &
% 159.38/24.13 | succ(v2) = v0 & succ(v1) = v2 & succ(all_187_0) = v1 & $i(v2) &
% 159.38/24.13 | $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (14) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1104) ? [v0: $i] : ? [v1: $i] : (plus(pv5, n3) = v0 & succ(v1) = v0 &
% 159.38/24.13 | succ(all_187_0) = v1 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (15) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1105) ? [v0: $i] : ? [v1: $i] : (plus(n3, pv5) = v0 & succ(v1) = v0 &
% 159.38/24.13 | succ(all_187_0) = v1 & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (12) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1106) ? [v0: $i] : (plus(pv5, n2) = v0 & succ(all_187_0) = v0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (13) with pv5, all_187_0, simplifying with (63),
% 159.38/24.13 | (358) gives:
% 159.38/24.13 | (1107) ? [v0: $i] : (plus(n2, pv5) = v0 & succ(all_187_0) = v0 & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (18) with all_96_35, all_177_0, simplifying with
% 159.38/24.13 | (103), (348) gives:
% 159.38/24.13 | (1108) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 159.38/24.13 | (plus(all_96_35, n5) = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1)
% 159.38/24.13 | = v2 & succ(all_177_0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (19) with all_96_35, all_177_0, simplifying with
% 159.38/24.13 | (103), (348) gives:
% 159.38/24.13 | (1109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (plus(n5,
% 159.38/24.13 | all_96_35) = v0 & succ(v3) = v0 & succ(v2) = v3 & succ(v1) = v2
% 159.38/24.13 | & succ(all_177_0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (16) with all_96_35, all_177_0, simplifying with
% 159.38/24.13 | (103), (348) gives:
% 159.38/24.13 | (1110) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(all_96_35, n4) = v0
% 159.38/24.13 | & succ(v2) = v0 & succ(v1) = v2 & succ(all_177_0) = v1 & $i(v2) &
% 159.38/24.13 | $i(v1) & $i(v0))
% 159.38/24.13 |
% 159.38/24.13 | GROUND_INST: instantiating (17) with all_96_35, all_177_0, simplifying with
% 159.38/24.13 | (103), (348) gives:
% 159.38/24.14 | (1111) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (plus(n4, all_96_35) = v0
% 159.38/24.14 | & succ(v2) = v0 & succ(v1) = v2 & succ(all_177_0) = v1 & $i(v2) &
% 159.38/24.14 | $i(v1) & $i(v0))
% 159.38/24.14 |
% 159.38/24.14 | GROUND_INST: instantiating (14) with all_96_35, all_177_0, simplifying with
% 159.38/24.14 | (103), (348) gives:
% 159.38/24.14 | (1112) ? [v0: $i] : ? [v1: $i] : (plus(all_96_35, n3) = v0 & succ(v1) =
% 159.38/24.14 | v0 & succ(all_177_0) = v1 & $i(v1) & $i(v0))
% 159.38/24.14 |
% 159.38/24.14 | GROUND_INST: instantiating (15) with all_96_35, all_177_0, simplifying with
% 159.38/24.14 | (103), (348) gives:
% 159.38/24.14 | (1113) ? [v0: $i] : ? [v1: $i] : (plus(n3, all_96_35) = v0 & succ(v1) =
% 159.38/24.14 | v0 & succ(all_177_0) = v1 & $i(v1) & $i(v0))
% 159.38/24.14 |
% 159.38/24.14 | GROUND_INST: instantiating (12) with all_96_35, all_177_0, simplifying with
% 159.38/24.14 | (103), (348) gives:
% 159.38/24.14 | (1114) ? [v0: $i] : (plus(all_96_35, n2) = v0 & succ(all_177_0) = v0 &
% 159.38/24.14 | $i(v0))
% 159.38/24.14 |
% 159.38/24.14 | GROUND_INST: instantiating (13) with all_96_35, all_177_0, simplifying with
% 159.38/24.14 | (103), (348) gives:
% 159.38/24.14 | (1115) ? [v0: $i] : (plus(n2, all_96_35) = v0 & succ(all_177_0) = v0 &
% 159.38/24.14 | $i(v0))
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1060) with fresh symbol all_343_0 gives:
% 159.38/24.14 | (1116) succ(n999) = all_343_0 & gt(all_343_0, n3) = 0 & $i(all_343_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1116) implies:
% 159.38/24.14 | (1117) succ(n999) = all_343_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1036) with fresh symbol all_345_0 gives:
% 159.38/24.14 | (1118) succ(all_96_35) = all_345_0 & gt(all_345_0, tptp_minus_1) = 0 &
% 159.38/24.14 | $i(all_345_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1118) implies:
% 159.38/24.14 | (1119) succ(all_96_35) = all_345_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1025) with fresh symbol all_347_0 gives:
% 159.38/24.14 | (1120) succ(all_187_0) = all_347_0 & leq(n0, all_347_0) = 0 & $i(all_347_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1120) implies:
% 159.38/24.14 | (1121) leq(n0, all_347_0) = 0
% 159.38/24.14 | (1122) succ(all_187_0) = all_347_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1029) with fresh symbol all_349_0 gives:
% 159.38/24.14 | (1123) succ(n999) = all_349_0 & leq(tptp_minus_1, all_349_0) = 0 &
% 159.38/24.14 | $i(all_349_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1123) implies:
% 159.38/24.14 | (1124) leq(tptp_minus_1, all_349_0) = 0
% 159.38/24.14 | (1125) succ(n999) = all_349_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1033) with fresh symbol all_351_0 gives:
% 159.38/24.14 | (1126) succ(n6) = all_351_0 & gt(all_351_0, tptp_minus_1) = 0 &
% 159.38/24.14 | $i(all_351_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1126) implies:
% 159.38/24.14 | (1127) $i(all_351_0)
% 159.38/24.14 | (1128) succ(n6) = all_351_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1032) with fresh symbol all_353_0 gives:
% 159.38/24.14 | (1129) succ(n6) = all_353_0 & leq(tptp_minus_1, all_353_0) = 0 &
% 159.38/24.14 | $i(all_353_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1129) implies:
% 159.38/24.14 | (1130) leq(tptp_minus_1, all_353_0) = 0
% 159.38/24.14 | (1131) succ(n6) = all_353_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1114) with fresh symbol all_359_0 gives:
% 159.38/24.14 | (1132) plus(all_96_35, n2) = all_359_0 & succ(all_177_0) = all_359_0 &
% 159.38/24.14 | $i(all_359_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1132) implies:
% 159.38/24.14 | (1133) succ(all_177_0) = all_359_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1017) with fresh symbol all_361_0 gives:
% 159.38/24.14 | (1134) succ(n999) = all_361_0 & gt(all_361_0, n0) = 0 & $i(all_361_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1134) implies:
% 159.38/24.14 | (1135) succ(n999) = all_361_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1059) with fresh symbol all_365_0 gives:
% 159.38/24.14 | (1136) succ(n999) = all_365_0 & leq(n3, all_365_0) = 0 & $i(all_365_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1136) implies:
% 159.38/24.14 | (1137) succ(n999) = all_365_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1023) with fresh symbol all_367_0 gives:
% 159.38/24.14 | (1138) succ(all_96_35) = all_367_0 & gt(all_367_0, n0) = 0 & $i(all_367_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1138) implies:
% 159.38/24.14 | (1139) succ(all_96_35) = all_367_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1022) with fresh symbol all_369_0 gives:
% 159.38/24.14 | (1140) succ(all_96_35) = all_369_0 & leq(n0, all_369_0) = 0 & $i(all_369_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1140) implies:
% 159.38/24.14 | (1141) succ(all_96_35) = all_369_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1019) with fresh symbol all_371_0 gives:
% 159.38/24.14 | (1142) succ(n6) = all_371_0 & leq(n0, all_371_0) = 0 & $i(all_371_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1142) implies:
% 159.38/24.14 | (1143) leq(n0, all_371_0) = 0
% 159.38/24.14 | (1144) succ(n6) = all_371_0
% 159.38/24.14 |
% 159.38/24.14 | DELTA: instantiating (1057) with fresh symbol all_373_0 gives:
% 159.38/24.14 | (1145) succ(all_96_35) = all_373_0 & gt(all_373_0, n2) = 0 & $i(all_373_0)
% 159.38/24.14 |
% 159.38/24.14 | ALPHA: (1145) implies:
% 159.57/24.14 | (1146) succ(all_96_35) = all_373_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1020) with fresh symbol all_375_0 gives:
% 159.57/24.14 | (1147) succ(n6) = all_375_0 & gt(all_375_0, n0) = 0 & $i(all_375_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1147) implies:
% 159.57/24.14 | (1148) succ(n6) = all_375_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1084) with fresh symbol all_377_0 gives:
% 159.57/24.14 | (1149) succ(all_96_35) = all_377_0 & gt(all_377_0, n5) = 0 & $i(all_377_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1149) implies:
% 159.57/24.14 | (1150) succ(all_96_35) = all_377_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1083) with fresh symbol all_379_0 gives:
% 159.57/24.14 | (1151) succ(all_96_35) = all_379_0 & leq(n5, all_379_0) = 0 & $i(all_379_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1151) implies:
% 159.57/24.14 | (1152) succ(all_96_35) = all_379_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1026) with fresh symbol all_381_0 gives:
% 159.57/24.14 | (1153) succ(all_187_0) = all_381_0 & gt(all_381_0, n0) = 0 & $i(all_381_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1153) implies:
% 159.57/24.14 | (1154) $i(all_381_0)
% 159.57/24.14 | (1155) succ(all_187_0) = all_381_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1106) with fresh symbol all_385_0 gives:
% 159.57/24.14 | (1156) plus(pv5, n2) = all_385_0 & succ(all_187_0) = all_385_0 &
% 159.57/24.14 | $i(all_385_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1156) implies:
% 159.57/24.14 | (1157) succ(all_187_0) = all_385_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1047) with fresh symbol all_387_0 gives:
% 159.57/24.14 | (1158) succ(all_187_0) = all_387_0 & leq(n1, all_387_0) = 0 & $i(all_387_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1158) implies:
% 159.57/24.14 | (1159) succ(all_187_0) = all_387_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1078) with fresh symbol all_391_0 gives:
% 159.57/24.14 | (1160) succ(n999) = all_391_0 & gt(all_391_0, n5) = 0 & $i(all_391_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1160) implies:
% 159.57/24.14 | (1161) succ(n999) = all_391_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1077) with fresh symbol all_393_0 gives:
% 159.57/24.14 | (1162) succ(n999) = all_393_0 & leq(n5, all_393_0) = 0 & $i(all_393_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1162) implies:
% 159.57/24.14 | (1163) succ(n999) = all_393_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1039) with fresh symbol all_395_0 gives:
% 159.57/24.14 | (1164) succ(n999) = all_395_0 & gt(all_395_0, n1) = 0 & $i(all_395_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1164) implies:
% 159.57/24.14 | (1165) succ(n999) = all_395_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1038) with fresh symbol all_397_0 gives:
% 159.57/24.14 | (1166) succ(n999) = all_397_0 & leq(n1, all_397_0) = 0 & $i(all_397_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1166) implies:
% 159.57/24.14 | (1167) succ(n999) = all_397_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1035) with fresh symbol all_399_0 gives:
% 159.57/24.14 | (1168) succ(all_96_35) = all_399_0 & leq(tptp_minus_1, all_399_0) = 0 &
% 159.57/24.14 | $i(all_399_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1168) implies:
% 159.57/24.14 | (1169) succ(all_96_35) = all_399_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1014) with fresh symbol all_401_0 gives:
% 159.57/24.14 | (1170) pred(all_187_0) = all_401_0 & leq(n0, all_401_0) = 0 & $i(all_401_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1170) implies:
% 159.57/24.14 | (1171) $i(all_401_0)
% 159.57/24.14 | (1172) pred(all_187_0) = all_401_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1093) with fresh symbol all_403_0 gives:
% 159.57/24.14 | (1173) succ(all_96_35) = all_403_0 & gt(all_403_0, n6) = 0 & $i(all_403_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1173) implies:
% 159.57/24.14 | (1174) succ(all_96_35) = all_403_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1053) with fresh symbol all_409_0 gives:
% 159.57/24.14 | (1175) succ(n6) = all_409_0 & leq(n2, all_409_0) = 0 & $i(all_409_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1175) implies:
% 159.57/24.14 | (1176) succ(n6) = all_409_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1092) with fresh symbol all_411_0 gives:
% 159.57/24.14 | (1177) succ(all_96_35) = all_411_0 & leq(n6, all_411_0) = 0 & $i(all_411_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1177) implies:
% 159.57/24.14 | (1178) succ(all_96_35) = all_411_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1107) with fresh symbol all_413_0 gives:
% 159.57/24.14 | (1179) plus(n2, pv5) = all_413_0 & succ(all_187_0) = all_413_0 &
% 159.57/24.14 | $i(all_413_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1179) implies:
% 159.57/24.14 | (1180) succ(all_187_0) = all_413_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1013) with fresh symbol all_415_0 gives:
% 159.57/24.14 | (1181) pred(pv5) = all_415_0 & leq(tptp_minus_1, all_415_0) = 0 &
% 159.57/24.14 | $i(all_415_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1181) implies:
% 159.57/24.14 | (1182) $i(all_415_0)
% 159.57/24.14 | (1183) leq(tptp_minus_1, all_415_0) = 0
% 159.57/24.14 | (1184) pred(pv5) = all_415_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1045) with fresh symbol all_417_0 gives:
% 159.57/24.14 | (1185) succ(all_96_35) = all_417_0 & gt(all_417_0, n1) = 0 & $i(all_417_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1185) implies:
% 159.57/24.14 | (1186) succ(all_96_35) = all_417_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1044) with fresh symbol all_419_0 gives:
% 159.57/24.14 | (1187) succ(all_96_35) = all_419_0 & leq(n1, all_419_0) = 0 & $i(all_419_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1187) implies:
% 159.57/24.14 | (1188) succ(all_96_35) = all_419_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1086) with fresh symbol all_421_0 gives:
% 159.57/24.14 | (1189) succ(all_177_0) = all_421_0 & leq(pv5, all_421_0) = 0 &
% 159.57/24.14 | $i(all_421_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1189) implies:
% 159.57/24.14 | (1190) $i(all_421_0)
% 159.57/24.14 | (1191) succ(all_177_0) = all_421_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1042) with fresh symbol all_423_0 gives:
% 159.57/24.14 | (1192) succ(n6) = all_423_0 & gt(all_423_0, n1) = 0 & $i(all_423_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1192) implies:
% 159.57/24.14 | (1193) succ(n6) = all_423_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1041) with fresh symbol all_425_0 gives:
% 159.57/24.14 | (1194) succ(n6) = all_425_0 & leq(n1, all_425_0) = 0 & $i(all_425_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1194) implies:
% 159.57/24.14 | (1195) succ(n6) = all_425_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1066) with fresh symbol all_427_0 gives:
% 159.57/24.14 | (1196) succ(all_96_35) = all_427_0 & gt(all_427_0, n3) = 0 & $i(all_427_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1196) implies:
% 159.57/24.14 | (1197) succ(all_96_35) = all_427_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1065) with fresh symbol all_429_0 gives:
% 159.57/24.14 | (1198) succ(all_96_35) = all_429_0 & leq(n3, all_429_0) = 0 & $i(all_429_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1198) implies:
% 159.57/24.14 | (1199) succ(all_96_35) = all_429_0
% 159.57/24.14 |
% 159.57/24.14 | DELTA: instantiating (1075) with fresh symbol all_431_0 gives:
% 159.57/24.14 | (1200) succ(all_96_35) = all_431_0 & gt(all_431_0, n4) = 0 & $i(all_431_0)
% 159.57/24.14 |
% 159.57/24.14 | ALPHA: (1200) implies:
% 159.57/24.15 | (1201) succ(all_96_35) = all_431_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1074) with fresh symbol all_433_0 gives:
% 159.57/24.15 | (1202) succ(all_96_35) = all_433_0 & leq(n4, all_433_0) = 0 & $i(all_433_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1202) implies:
% 159.57/24.15 | (1203) succ(all_96_35) = all_433_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1016) with fresh symbol all_435_0 gives:
% 159.57/24.15 | (1204) succ(n999) = all_435_0 & leq(n0, all_435_0) = 0 & $i(all_435_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1204) implies:
% 159.57/24.15 | (1205) leq(n0, all_435_0) = 0
% 159.57/24.15 | (1206) succ(n999) = all_435_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1115) with fresh symbol all_439_0 gives:
% 159.57/24.15 | (1207) plus(n2, all_96_35) = all_439_0 & succ(all_177_0) = all_439_0 &
% 159.57/24.15 | $i(all_439_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1207) implies:
% 159.57/24.15 | (1208) succ(all_177_0) = all_439_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1051) with fresh symbol all_443_0 gives:
% 159.57/24.15 | (1209) succ(n999) = all_443_0 & gt(all_443_0, n2) = 0 & $i(all_443_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1209) implies:
% 159.57/24.15 | (1210) succ(n999) = all_443_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1056) with fresh symbol all_445_0 gives:
% 159.57/24.15 | (1211) succ(all_96_35) = all_445_0 & leq(n2, all_445_0) = 0 & $i(all_445_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1211) implies:
% 159.57/24.15 | (1212) succ(all_96_35) = all_445_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1050) with fresh symbol all_447_0 gives:
% 159.57/24.15 | (1213) succ(n999) = all_447_0 & leq(n2, all_447_0) = 0 & $i(all_447_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1213) implies:
% 159.57/24.15 | (1214) succ(n999) = all_447_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1048) with fresh symbol all_449_0 gives:
% 159.57/24.15 | (1215) succ(all_187_0) = all_449_0 & gt(all_449_0, n1) = 0 & $i(all_449_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1215) implies:
% 159.57/24.15 | (1216) succ(all_187_0) = all_449_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1054) with fresh symbol all_451_0 gives:
% 159.57/24.15 | (1217) succ(n6) = all_451_0 & gt(all_451_0, n2) = 0 & $i(all_451_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1217) implies:
% 159.57/24.15 | (1218) succ(n6) = all_451_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1089) with fresh symbol all_453_0 gives:
% 159.57/24.15 | (1219) succ(n999) = all_453_0 & leq(n6, all_453_0) = 0 & $i(all_453_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1219) implies:
% 159.57/24.15 | (1220) succ(n999) = all_453_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1081) with fresh symbol all_455_0 gives:
% 159.57/24.15 | (1221) succ(n6) = all_455_0 & gt(all_455_0, n5) = 0 & $i(all_455_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1221) implies:
% 159.57/24.15 | (1222) succ(n6) = all_455_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1080) with fresh symbol all_457_0 gives:
% 159.57/24.15 | (1223) succ(n6) = all_457_0 & leq(n5, all_457_0) = 0 & $i(all_457_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1223) implies:
% 159.57/24.15 | (1224) succ(n6) = all_457_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1072) with fresh symbol all_459_0 gives:
% 159.57/24.15 | (1225) succ(n6) = all_459_0 & gt(all_459_0, n4) = 0 & $i(all_459_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1225) implies:
% 159.57/24.15 | (1226) succ(n6) = all_459_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1063) with fresh symbol all_461_0 gives:
% 159.57/24.15 | (1227) succ(n6) = all_461_0 & gt(all_461_0, n3) = 0 & $i(all_461_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1227) implies:
% 159.57/24.15 | (1228) succ(n6) = all_461_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1062) with fresh symbol all_463_0 gives:
% 159.57/24.15 | (1229) succ(n6) = all_463_0 & leq(n3, all_463_0) = 0 & $i(all_463_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1229) implies:
% 159.57/24.15 | (1230) succ(n6) = all_463_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1095) with fresh symbol all_465_0 gives:
% 159.57/24.15 | (1231) succ(all_177_0) = all_465_0 & leq(all_187_0, all_465_0) = 0 &
% 159.57/24.15 | $i(all_465_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1231) implies:
% 159.57/24.15 | (1232) succ(all_177_0) = all_465_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1030) with fresh symbol all_467_0 gives:
% 159.57/24.15 | (1233) succ(n999) = all_467_0 & gt(all_467_0, tptp_minus_1) = 0 &
% 159.57/24.15 | $i(all_467_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1233) implies:
% 159.57/24.15 | (1234) succ(n999) = all_467_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1087) with fresh symbol all_469_0 gives:
% 159.57/24.15 | (1235) succ(all_177_0) = all_469_0 & gt(all_469_0, pv5) = 0 & $i(all_469_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1235) implies:
% 159.57/24.15 | (1236) succ(all_177_0) = all_469_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1096) with fresh symbol all_471_0 gives:
% 159.57/24.15 | (1237) succ(all_177_0) = all_471_0 & gt(all_471_0, all_187_0) = 0 &
% 159.57/24.15 | $i(all_471_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1237) implies:
% 159.57/24.15 | (1238) succ(all_177_0) = all_471_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1069) with fresh symbol all_473_0 gives:
% 159.57/24.15 | (1239) succ(n999) = all_473_0 & gt(all_473_0, n4) = 0 & $i(all_473_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1239) implies:
% 159.57/24.15 | (1240) succ(n999) = all_473_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1090) with fresh symbol all_475_0 gives:
% 159.57/24.15 | (1241) succ(n999) = all_475_0 & gt(all_475_0, n6) = 0 & $i(all_475_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1241) implies:
% 159.57/24.15 | (1242) succ(n999) = all_475_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1068) with fresh symbol all_477_0 gives:
% 159.57/24.15 | (1243) succ(n999) = all_477_0 & leq(n4, all_477_0) = 0 & $i(all_477_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1243) implies:
% 159.57/24.15 | (1244) succ(n999) = all_477_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1071) with fresh symbol all_479_0 gives:
% 159.57/24.15 | (1245) succ(n6) = all_479_0 & leq(n4, all_479_0) = 0 & $i(all_479_0)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1245) implies:
% 159.57/24.15 | (1246) succ(n6) = all_479_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1034) with fresh symbols all_481_0, all_481_1 gives:
% 159.57/24.15 | (1247) succ(all_96_35) = all_481_0 & succ(tptp_minus_1) = all_481_1 &
% 159.57/24.15 | leq(all_481_1, all_481_0) = 0 & $i(all_481_0) & $i(all_481_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1247) implies:
% 159.57/24.15 | (1248) $i(all_481_1)
% 159.57/24.15 | (1249) succ(tptp_minus_1) = all_481_1
% 159.57/24.15 | (1250) succ(all_96_35) = all_481_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1113) with fresh symbols all_483_0, all_483_1 gives:
% 159.57/24.15 | (1251) plus(n3, all_96_35) = all_483_1 & succ(all_483_0) = all_483_1 &
% 159.57/24.15 | succ(all_177_0) = all_483_0 & $i(all_483_0) & $i(all_483_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1251) implies:
% 159.57/24.15 | (1252) succ(all_177_0) = all_483_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1058) with fresh symbols all_487_0, all_487_1 gives:
% 159.57/24.15 | (1253) succ(n999) = all_487_0 & succ(n3) = all_487_1 & leq(all_487_1,
% 159.57/24.15 | all_487_0) = 0 & $i(all_487_0) & $i(all_487_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1253) implies:
% 159.57/24.15 | (1254) succ(n999) = all_487_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1046) with fresh symbols all_489_0, all_489_1 gives:
% 159.57/24.15 | (1255) succ(all_187_0) = all_489_0 & succ(n1) = all_489_1 & leq(all_489_1,
% 159.57/24.15 | all_489_0) = 0 & $i(all_489_0) & $i(all_489_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1255) implies:
% 159.57/24.15 | (1256) succ(all_187_0) = all_489_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1018) with fresh symbols all_493_0, all_493_1 gives:
% 159.57/24.15 | (1257) succ(n6) = all_493_0 & succ(n0) = all_493_1 & leq(all_493_1,
% 159.57/24.15 | all_493_0) = 0 & $i(all_493_0) & $i(all_493_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1257) implies:
% 159.57/24.15 | (1258) succ(n0) = all_493_1
% 159.57/24.15 | (1259) succ(n6) = all_493_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1021) with fresh symbols all_497_0, all_497_1 gives:
% 159.57/24.15 | (1260) succ(all_96_35) = all_497_0 & succ(n0) = all_497_1 & leq(all_497_1,
% 159.57/24.15 | all_497_0) = 0 & $i(all_497_0) & $i(all_497_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1260) implies:
% 159.57/24.15 | (1261) succ(n0) = all_497_1
% 159.57/24.15 | (1262) succ(all_96_35) = all_497_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1085) with fresh symbols all_501_0, all_501_1 gives:
% 159.57/24.15 | (1263) succ(all_177_0) = all_501_0 & succ(pv5) = all_501_1 & leq(all_501_1,
% 159.57/24.15 | all_501_0) = 0 & $i(all_501_0) & $i(all_501_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1263) implies:
% 159.57/24.15 | (1264) succ(all_177_0) = all_501_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1052) with fresh symbols all_503_0, all_503_1 gives:
% 159.57/24.15 | (1265) succ(n6) = all_503_0 & succ(n2) = all_503_1 & leq(all_503_1,
% 159.57/24.15 | all_503_0) = 0 & $i(all_503_0) & $i(all_503_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1265) implies:
% 159.57/24.15 | (1266) succ(n6) = all_503_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1064) with fresh symbols all_505_0, all_505_1 gives:
% 159.57/24.15 | (1267) succ(all_96_35) = all_505_0 & succ(n3) = all_505_1 & leq(all_505_1,
% 159.57/24.15 | all_505_0) = 0 & $i(all_505_0) & $i(all_505_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1267) implies:
% 159.57/24.15 | (1268) succ(all_96_35) = all_505_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1091) with fresh symbols all_507_0, all_507_1 gives:
% 159.57/24.15 | (1269) succ(all_96_35) = all_507_0 & succ(n6) = all_507_1 & leq(all_507_1,
% 159.57/24.15 | all_507_0) = 0 & $i(all_507_0) & $i(all_507_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1269) implies:
% 159.57/24.15 | (1270) succ(n6) = all_507_1
% 159.57/24.15 | (1271) succ(all_96_35) = all_507_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1061) with fresh symbols all_509_0, all_509_1 gives:
% 159.57/24.15 | (1272) succ(n6) = all_509_0 & succ(n3) = all_509_1 & leq(all_509_1,
% 159.57/24.15 | all_509_0) = 0 & $i(all_509_0) & $i(all_509_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1272) implies:
% 159.57/24.15 | (1273) succ(n6) = all_509_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1105) with fresh symbols all_511_0, all_511_1 gives:
% 159.57/24.15 | (1274) plus(n3, pv5) = all_511_1 & succ(all_511_0) = all_511_1 &
% 159.57/24.15 | succ(all_187_0) = all_511_0 & $i(all_511_0) & $i(all_511_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1274) implies:
% 159.57/24.15 | (1275) succ(all_187_0) = all_511_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1073) with fresh symbols all_513_0, all_513_1 gives:
% 159.57/24.15 | (1276) succ(all_96_35) = all_513_0 & succ(n4) = all_513_1 & leq(all_513_1,
% 159.57/24.15 | all_513_0) = 0 & $i(all_513_0) & $i(all_513_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1276) implies:
% 159.57/24.15 | (1277) succ(all_96_35) = all_513_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1070) with fresh symbols all_515_0, all_515_1 gives:
% 159.57/24.15 | (1278) succ(n6) = all_515_0 & succ(n4) = all_515_1 & leq(all_515_1,
% 159.57/24.15 | all_515_0) = 0 & $i(all_515_0) & $i(all_515_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1278) implies:
% 159.57/24.15 | (1279) succ(n6) = all_515_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1067) with fresh symbols all_517_0, all_517_1 gives:
% 159.57/24.15 | (1280) succ(n999) = all_517_0 & succ(n4) = all_517_1 & leq(all_517_1,
% 159.57/24.15 | all_517_0) = 0 & $i(all_517_0) & $i(all_517_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1280) implies:
% 159.57/24.15 | (1281) succ(n999) = all_517_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1043) with fresh symbols all_519_0, all_519_1 gives:
% 159.57/24.15 | (1282) succ(all_96_35) = all_519_0 & succ(n1) = all_519_1 & leq(all_519_1,
% 159.57/24.15 | all_519_0) = 0 & $i(all_519_0) & $i(all_519_1)
% 159.57/24.15 |
% 159.57/24.15 | ALPHA: (1282) implies:
% 159.57/24.15 | (1283) succ(all_96_35) = all_519_0
% 159.57/24.15 |
% 159.57/24.15 | DELTA: instantiating (1040) with fresh symbols all_521_0, all_521_1 gives:
% 159.63/24.15 | (1284) succ(n6) = all_521_0 & succ(n1) = all_521_1 & leq(all_521_1,
% 159.63/24.15 | all_521_0) = 0 & $i(all_521_0) & $i(all_521_1)
% 159.63/24.15 |
% 159.63/24.15 | ALPHA: (1284) implies:
% 159.63/24.15 | (1285) succ(n6) = all_521_0
% 159.63/24.15 |
% 159.63/24.15 | DELTA: instantiating (1104) with fresh symbols all_523_0, all_523_1 gives:
% 159.63/24.16 | (1286) plus(pv5, n3) = all_523_1 & succ(all_523_0) = all_523_1 &
% 159.63/24.16 | succ(all_187_0) = all_523_0 & $i(all_523_0) & $i(all_523_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1286) implies:
% 159.63/24.16 | (1287) succ(all_187_0) = all_523_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1076) with fresh symbols all_525_0, all_525_1 gives:
% 159.63/24.16 | (1288) succ(n999) = all_525_0 & succ(n5) = all_525_1 & leq(all_525_1,
% 159.63/24.16 | all_525_0) = 0 & $i(all_525_0) & $i(all_525_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1288) implies:
% 159.63/24.16 | (1289) succ(n999) = all_525_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1082) with fresh symbols all_529_0, all_529_1 gives:
% 159.63/24.16 | (1290) succ(all_96_35) = all_529_0 & succ(n5) = all_529_1 & leq(all_529_1,
% 159.63/24.16 | all_529_0) = 0 & $i(all_529_0) & $i(all_529_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1290) implies:
% 159.63/24.16 | (1291) succ(all_96_35) = all_529_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1088) with fresh symbols all_531_0, all_531_1 gives:
% 159.63/24.16 | (1292) succ(n6) = all_531_1 & succ(n999) = all_531_0 & leq(all_531_1,
% 159.63/24.16 | all_531_0) = 0 & $i(all_531_0) & $i(all_531_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1292) implies:
% 159.63/24.16 | (1293) succ(n999) = all_531_0
% 159.63/24.16 | (1294) succ(n6) = all_531_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1094) with fresh symbols all_533_0, all_533_1 gives:
% 159.63/24.16 | (1295) succ(all_187_0) = all_533_1 & succ(all_177_0) = all_533_0 &
% 159.63/24.16 | leq(all_533_1, all_533_0) = 0 & $i(all_533_0) & $i(all_533_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1295) implies:
% 159.63/24.16 | (1296) succ(all_177_0) = all_533_0
% 159.63/24.16 | (1297) succ(all_187_0) = all_533_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1049) with fresh symbols all_537_0, all_537_1 gives:
% 159.63/24.16 | (1298) succ(n999) = all_537_0 & succ(n2) = all_537_1 & leq(all_537_1,
% 159.63/24.16 | all_537_0) = 0 & $i(all_537_0) & $i(all_537_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1298) implies:
% 159.63/24.16 | (1299) succ(n999) = all_537_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1031) with fresh symbols all_539_0, all_539_1 gives:
% 159.63/24.16 | (1300) succ(n6) = all_539_0 & succ(tptp_minus_1) = all_539_1 &
% 159.63/24.16 | leq(all_539_1, all_539_0) = 0 & $i(all_539_0) & $i(all_539_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1300) implies:
% 159.63/24.16 | (1301) succ(tptp_minus_1) = all_539_1
% 159.63/24.16 | (1302) succ(n6) = all_539_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1028) with fresh symbols all_541_0, all_541_1 gives:
% 159.63/24.16 | (1303) succ(n999) = all_541_0 & succ(tptp_minus_1) = all_541_1 &
% 159.63/24.16 | leq(all_541_1, all_541_0) = 0 & $i(all_541_0) & $i(all_541_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1303) implies:
% 159.63/24.16 | (1304) succ(tptp_minus_1) = all_541_1
% 159.63/24.16 | (1305) succ(n999) = all_541_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1015) with fresh symbols all_543_0, all_543_1 gives:
% 159.63/24.16 | (1306) succ(n999) = all_543_0 & succ(n0) = all_543_1 & leq(all_543_1,
% 159.63/24.16 | all_543_0) = 0 & $i(all_543_0) & $i(all_543_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1306) implies:
% 159.63/24.16 | (1307) succ(n0) = all_543_1
% 159.63/24.16 | (1308) succ(n999) = all_543_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1037) with fresh symbols all_547_0, all_547_1 gives:
% 159.63/24.16 | (1309) succ(n999) = all_547_0 & succ(n1) = all_547_1 & leq(all_547_1,
% 159.63/24.16 | all_547_0) = 0 & $i(all_547_0) & $i(all_547_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1309) implies:
% 159.63/24.16 | (1310) succ(n999) = all_547_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1024) with fresh symbols all_551_0, all_551_1 gives:
% 159.63/24.16 | (1311) succ(all_187_0) = all_551_0 & succ(n0) = all_551_1 & leq(all_551_1,
% 159.63/24.16 | all_551_0) = 0 & $i(all_551_0) & $i(all_551_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1311) implies:
% 159.63/24.16 | (1312) succ(n0) = all_551_1
% 159.63/24.16 | (1313) succ(all_187_0) = all_551_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1112) with fresh symbols all_553_0, all_553_1 gives:
% 159.63/24.16 | (1314) plus(all_96_35, n3) = all_553_1 & succ(all_553_0) = all_553_1 &
% 159.63/24.16 | succ(all_177_0) = all_553_0 & $i(all_553_0) & $i(all_553_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1314) implies:
% 159.63/24.16 | (1315) succ(all_177_0) = all_553_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1079) with fresh symbols all_555_0, all_555_1 gives:
% 159.63/24.16 | (1316) succ(n6) = all_555_0 & succ(n5) = all_555_1 & leq(all_555_1,
% 159.63/24.16 | all_555_0) = 0 & $i(all_555_0) & $i(all_555_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1316) implies:
% 159.63/24.16 | (1317) succ(n6) = all_555_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1055) with fresh symbols all_559_0, all_559_1 gives:
% 159.63/24.16 | (1318) succ(all_96_35) = all_559_0 & succ(n2) = all_559_1 & leq(all_559_1,
% 159.63/24.16 | all_559_0) = 0 & $i(all_559_0) & $i(all_559_1)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1318) implies:
% 159.63/24.16 | (1319) succ(all_96_35) = all_559_0
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1103) with fresh symbols all_567_0, all_567_1, all_567_2
% 159.63/24.16 | gives:
% 159.63/24.16 | (1320) plus(n4, pv5) = all_567_2 & succ(all_567_0) = all_567_2 &
% 159.63/24.16 | succ(all_567_1) = all_567_0 & succ(all_187_0) = all_567_1 &
% 159.63/24.16 | $i(all_567_0) & $i(all_567_1) & $i(all_567_2)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1320) implies:
% 159.63/24.16 | (1321) succ(all_187_0) = all_567_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1111) with fresh symbols all_571_0, all_571_1, all_571_2
% 159.63/24.16 | gives:
% 159.63/24.16 | (1322) plus(n4, all_96_35) = all_571_2 & succ(all_571_0) = all_571_2 &
% 159.63/24.16 | succ(all_571_1) = all_571_0 & succ(all_177_0) = all_571_1 &
% 159.63/24.16 | $i(all_571_0) & $i(all_571_1) & $i(all_571_2)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1322) implies:
% 159.63/24.16 | (1323) succ(all_177_0) = all_571_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1110) with fresh symbols all_575_0, all_575_1, all_575_2
% 159.63/24.16 | gives:
% 159.63/24.16 | (1324) plus(all_96_35, n4) = all_575_2 & succ(all_575_0) = all_575_2 &
% 159.63/24.16 | succ(all_575_1) = all_575_0 & succ(all_177_0) = all_575_1 &
% 159.63/24.16 | $i(all_575_0) & $i(all_575_1) & $i(all_575_2)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1324) implies:
% 159.63/24.16 | (1325) succ(all_177_0) = all_575_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1102) with fresh symbols all_579_0, all_579_1, all_579_2
% 159.63/24.16 | gives:
% 159.63/24.16 | (1326) plus(pv5, n4) = all_579_2 & succ(all_579_0) = all_579_2 &
% 159.63/24.16 | succ(all_579_1) = all_579_0 & succ(all_187_0) = all_579_1 &
% 159.63/24.16 | $i(all_579_0) & $i(all_579_1) & $i(all_579_2)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1326) implies:
% 159.63/24.16 | (1327) succ(all_187_0) = all_579_1
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1108) with fresh symbols all_589_0, all_589_1,
% 159.63/24.16 | all_589_2, all_589_3 gives:
% 159.63/24.16 | (1328) plus(all_96_35, n5) = all_589_3 & succ(all_589_0) = all_589_3 &
% 159.63/24.16 | succ(all_589_1) = all_589_0 & succ(all_589_2) = all_589_1 &
% 159.63/24.16 | succ(all_177_0) = all_589_2 & $i(all_589_0) & $i(all_589_1) &
% 159.63/24.16 | $i(all_589_2) & $i(all_589_3)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1328) implies:
% 159.63/24.16 | (1329) succ(all_177_0) = all_589_2
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1100) with fresh symbols all_591_0, all_591_1,
% 159.63/24.16 | all_591_2, all_591_3 gives:
% 159.63/24.16 | (1330) plus(pv5, n5) = all_591_3 & succ(all_591_0) = all_591_3 &
% 159.63/24.16 | succ(all_591_1) = all_591_0 & succ(all_591_2) = all_591_1 &
% 159.63/24.16 | succ(all_187_0) = all_591_2 & $i(all_591_0) & $i(all_591_1) &
% 159.63/24.16 | $i(all_591_2) & $i(all_591_3)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1330) implies:
% 159.63/24.16 | (1331) succ(all_187_0) = all_591_2
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1101) with fresh symbols all_593_0, all_593_1,
% 159.63/24.16 | all_593_2, all_593_3 gives:
% 159.63/24.16 | (1332) plus(n5, pv5) = all_593_3 & succ(all_593_0) = all_593_3 &
% 159.63/24.16 | succ(all_593_1) = all_593_0 & succ(all_593_2) = all_593_1 &
% 159.63/24.16 | succ(all_187_0) = all_593_2 & $i(all_593_0) & $i(all_593_1) &
% 159.63/24.16 | $i(all_593_2) & $i(all_593_3)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1332) implies:
% 159.63/24.16 | (1333) succ(all_187_0) = all_593_2
% 159.63/24.16 |
% 159.63/24.16 | DELTA: instantiating (1109) with fresh symbols all_607_0, all_607_1,
% 159.63/24.16 | all_607_2, all_607_3 gives:
% 159.63/24.16 | (1334) plus(n5, all_96_35) = all_607_3 & succ(all_607_0) = all_607_3 &
% 159.63/24.16 | succ(all_607_1) = all_607_0 & succ(all_607_2) = all_607_1 &
% 159.63/24.16 | succ(all_177_0) = all_607_2 & $i(all_607_0) & $i(all_607_1) &
% 159.63/24.16 | $i(all_607_2) & $i(all_607_3)
% 159.63/24.16 |
% 159.63/24.16 | ALPHA: (1334) implies:
% 159.63/24.16 | (1335) succ(all_177_0) = all_607_2
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (67) with pv5, all_401_0, all_187_0, simplifying
% 159.63/24.16 | with (1099), (1172) gives:
% 159.63/24.16 | (1336) all_401_0 = pv5
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with n1, all_497_1, n0, simplifying with (59),
% 159.63/24.16 | (1261) gives:
% 159.63/24.16 | (1337) all_497_1 = n1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_497_1, all_543_1, n0, simplifying
% 159.63/24.16 | with (1261), (1307) gives:
% 159.63/24.16 | (1338) all_543_1 = all_497_1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_543_1, all_551_1, n0, simplifying
% 159.63/24.16 | with (1307), (1312) gives:
% 159.63/24.16 | (1339) all_551_1 = all_543_1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_493_1, all_551_1, n0, simplifying
% 159.63/24.16 | with (1258), (1312) gives:
% 159.63/24.16 | (1340) all_551_1 = all_493_1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with n0, all_539_1, tptp_minus_1, simplifying
% 159.63/24.16 | with (9), (1301) gives:
% 159.63/24.16 | (1341) all_539_1 = n0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_539_1, all_541_1, tptp_minus_1,
% 159.63/24.16 | simplifying with (1301), (1304) gives:
% 159.63/24.16 | (1342) all_541_1 = all_539_1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_481_1, all_541_1, tptp_minus_1,
% 159.63/24.16 | simplifying with (1249), (1304) gives:
% 159.63/24.16 | (1343) all_541_1 = all_481_1
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_361_0, all_365_0, n999, simplifying
% 159.63/24.16 | with (1135), (1137) gives:
% 159.63/24.16 | (1344) all_365_0 = all_361_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_361_0, all_391_0, n999, simplifying
% 159.63/24.16 | with (1135), (1161) gives:
% 159.63/24.16 | (1345) all_391_0 = all_361_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_391_0, all_395_0, n999, simplifying
% 159.63/24.16 | with (1161), (1165) gives:
% 159.63/24.16 | (1346) all_395_0 = all_391_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_349_0, all_395_0, n999, simplifying
% 159.63/24.16 | with (1125), (1165) gives:
% 159.63/24.16 | (1347) all_395_0 = all_349_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_365_0, all_397_0, n999, simplifying
% 159.63/24.16 | with (1137), (1167) gives:
% 159.63/24.16 | (1348) all_397_0 = all_365_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_397_0, all_447_0, n999, simplifying
% 159.63/24.16 | with (1167), (1214) gives:
% 159.63/24.16 | (1349) all_447_0 = all_397_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_443_0, all_467_0, n999, simplifying
% 159.63/24.16 | with (1210), (1234) gives:
% 159.63/24.16 | (1350) all_467_0 = all_443_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_435_0, all_467_0, n999, simplifying
% 159.63/24.16 | with (1206), (1234) gives:
% 159.63/24.16 | (1351) all_467_0 = all_435_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_397_0, all_467_0, n999, simplifying
% 159.63/24.16 | with (1167), (1234) gives:
% 159.63/24.16 | (1352) all_467_0 = all_397_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_467_0, all_473_0, n999, simplifying
% 159.63/24.16 | with (1234), (1240) gives:
% 159.63/24.16 | (1353) all_473_0 = all_467_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_447_0, all_475_0, n999, simplifying
% 159.63/24.16 | with (1214), (1242) gives:
% 159.63/24.16 | (1354) all_475_0 = all_447_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_343_0, all_475_0, n999, simplifying
% 159.63/24.16 | with (1117), (1242) gives:
% 159.63/24.16 | (1355) all_475_0 = all_343_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_473_0, all_477_0, n999, simplifying
% 159.63/24.16 | with (1240), (1244) gives:
% 159.63/24.16 | (1356) all_477_0 = all_473_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_517_0, all_525_0, n999, simplifying
% 159.63/24.16 | with (1281), (1289) gives:
% 159.63/24.16 | (1357) all_525_0 = all_517_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_517_0, all_537_0, n999, simplifying
% 159.63/24.16 | with (1281), (1299) gives:
% 159.63/24.16 | (1358) all_537_0 = all_517_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_487_0, all_537_0, n999, simplifying
% 159.63/24.16 | with (1254), (1299) gives:
% 159.63/24.16 | (1359) all_537_0 = all_487_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_477_0, all_537_0, n999, simplifying
% 159.63/24.16 | with (1244), (1299) gives:
% 159.63/24.16 | (1360) all_537_0 = all_477_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_443_0, all_541_0, n999, simplifying
% 159.63/24.16 | with (1210), (1305) gives:
% 159.63/24.16 | (1361) all_541_0 = all_443_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_393_0, all_541_0, n999, simplifying
% 159.63/24.16 | with (1163), (1305) gives:
% 159.63/24.16 | (1362) all_541_0 = all_393_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_453_0, all_543_0, n999, simplifying
% 159.63/24.16 | with (1220), (1308) gives:
% 159.63/24.16 | (1363) all_543_0 = all_453_0
% 159.63/24.16 |
% 159.63/24.16 | GROUND_INST: instantiating (68) with all_543_0, all_547_0, n999, simplifying
% 159.63/24.16 | with (1308), (1310) gives:
% 159.63/24.16 | (1364) all_547_0 = all_543_0
% 159.63/24.16 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_531_0, all_547_0, n999, simplifying
% 159.63/24.17 | with (1293), (1310) gives:
% 159.63/24.17 | (1365) all_547_0 = all_531_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_525_0, all_547_0, n999, simplifying
% 159.63/24.17 | with (1289), (1310) gives:
% 159.63/24.17 | (1366) all_547_0 = all_525_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_423_0, all_451_0, n6, simplifying
% 159.63/24.17 | with (1193), (1218) gives:
% 159.63/24.17 | (1367) all_451_0 = all_423_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_457_0, all_459_0, n6, simplifying
% 159.63/24.17 | with (1224), (1226) gives:
% 159.63/24.17 | (1368) all_459_0 = all_457_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_423_0, all_459_0, n6, simplifying
% 159.63/24.17 | with (1193), (1226) gives:
% 159.63/24.17 | (1369) all_459_0 = all_423_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_371_0, all_459_0, n6, simplifying
% 159.63/24.17 | with (1144), (1226) gives:
% 159.63/24.17 | (1370) all_459_0 = all_371_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_461_0, all_479_0, n6, simplifying
% 159.63/24.17 | with (1228), (1246) gives:
% 159.63/24.17 | (1371) all_479_0 = all_461_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_409_0, all_479_0, n6, simplifying
% 159.63/24.17 | with (1176), (1246) gives:
% 159.63/24.17 | (1372) all_479_0 = all_409_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_455_0, all_493_0, n6, simplifying
% 159.63/24.17 | with (1222), (1259) gives:
% 159.63/24.17 | (1373) all_493_0 = all_455_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_451_0, all_493_0, n6, simplifying
% 159.63/24.17 | with (1218), (1259) gives:
% 159.63/24.17 | (1374) all_493_0 = all_451_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_479_0, all_503_0, n6, simplifying
% 159.63/24.17 | with (1246), (1266) gives:
% 159.63/24.17 | (1375) all_503_0 = all_479_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_503_0, all_507_1, n6, simplifying
% 159.63/24.17 | with (1266), (1270) gives:
% 159.63/24.17 | (1376) all_507_1 = all_503_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_463_0, all_507_1, n6, simplifying
% 159.63/24.17 | with (1230), (1270) gives:
% 159.63/24.17 | (1377) all_507_1 = all_463_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_461_0, all_515_0, n6, simplifying
% 159.63/24.17 | with (1228), (1279) gives:
% 159.63/24.17 | (1378) all_515_0 = all_461_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_423_0, all_515_0, n6, simplifying
% 159.63/24.17 | with (1193), (1279) gives:
% 159.63/24.17 | (1379) all_515_0 = all_423_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_493_0, all_521_0, n6, simplifying
% 159.63/24.17 | with (1259), (1285) gives:
% 159.63/24.17 | (1380) all_521_0 = all_493_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_351_0, all_521_0, n6, simplifying
% 159.63/24.17 | with (1128), (1285) gives:
% 159.63/24.17 | (1381) all_521_0 = all_351_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_129_0, all_531_1, n6, simplifying
% 159.63/24.17 | with (311), (1294) gives:
% 159.63/24.17 | (1382) all_531_1 = all_129_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_371_0, all_531_1, n6, simplifying
% 159.63/24.17 | with (1144), (1294) gives:
% 159.63/24.17 | (1383) all_531_1 = all_371_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_353_0, all_531_1, n6, simplifying
% 159.63/24.17 | with (1131), (1294) gives:
% 159.63/24.17 | (1384) all_531_1 = all_353_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_509_0, all_539_0, n6, simplifying
% 159.63/24.17 | with (1273), (1302) gives:
% 159.63/24.17 | (1385) all_539_0 = all_509_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_459_0, all_539_0, n6, simplifying
% 159.63/24.17 | with (1226), (1302) gives:
% 159.63/24.17 | (1386) all_539_0 = all_459_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_375_0, all_539_0, n6, simplifying
% 159.63/24.17 | with (1148), (1302) gives:
% 159.63/24.17 | (1387) all_539_0 = all_375_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_515_0, all_555_0, n6, simplifying
% 159.63/24.17 | with (1279), (1317) gives:
% 159.63/24.17 | (1388) all_555_0 = all_515_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_425_0, all_555_0, n6, simplifying
% 159.63/24.17 | with (1195), (1317) gives:
% 159.63/24.17 | (1389) all_555_0 = all_425_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_367_0, all_369_0, all_96_35,
% 159.63/24.17 | simplifying with (1139), (1141) gives:
% 159.63/24.17 | (1390) all_369_0 = all_367_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_369_0, all_373_0, all_96_35,
% 159.63/24.17 | simplifying with (1141), (1146) gives:
% 159.63/24.17 | (1391) all_373_0 = all_369_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_373_0, all_377_0, all_96_35,
% 159.63/24.17 | simplifying with (1146), (1150) gives:
% 159.63/24.17 | (1392) all_377_0 = all_373_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_177_0, all_379_0, all_96_35,
% 159.63/24.17 | simplifying with (348), (1152) gives:
% 159.63/24.17 | (1393) all_379_0 = all_177_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_367_0, all_379_0, all_96_35,
% 159.63/24.17 | simplifying with (1139), (1152) gives:
% 159.63/24.17 | (1394) all_379_0 = all_367_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_379_0, all_399_0, all_96_35,
% 159.63/24.17 | simplifying with (1152), (1169) gives:
% 159.63/24.17 | (1395) all_399_0 = all_379_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_377_0, all_403_0, all_96_35,
% 159.63/24.17 | simplifying with (1150), (1174) gives:
% 159.63/24.17 | (1396) all_403_0 = all_377_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_403_0, all_411_0, all_96_35,
% 159.63/24.17 | simplifying with (1174), (1178) gives:
% 159.63/24.17 | (1397) all_411_0 = all_403_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_399_0, all_417_0, all_96_35,
% 159.63/24.17 | simplifying with (1169), (1186) gives:
% 159.63/24.17 | (1398) all_417_0 = all_399_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_417_0, all_419_0, all_96_35,
% 159.63/24.17 | simplifying with (1186), (1188) gives:
% 159.63/24.17 | (1399) all_419_0 = all_417_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_411_0, all_427_0, all_96_35,
% 159.63/24.17 | simplifying with (1178), (1197) gives:
% 159.63/24.17 | (1400) all_427_0 = all_411_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_427_0, all_431_0, all_96_35,
% 159.63/24.17 | simplifying with (1197), (1201) gives:
% 159.63/24.17 | (1401) all_431_0 = all_427_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_431_0, all_433_0, all_96_35,
% 159.63/24.17 | simplifying with (1201), (1203) gives:
% 159.63/24.17 | (1402) all_433_0 = all_431_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_433_0, all_445_0, all_96_35,
% 159.63/24.17 | simplifying with (1203), (1212) gives:
% 159.63/24.17 | (1403) all_445_0 = all_433_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_419_0, all_481_0, all_96_35,
% 159.63/24.17 | simplifying with (1188), (1250) gives:
% 159.63/24.17 | (1404) all_481_0 = all_419_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_345_0, all_481_0, all_96_35,
% 159.63/24.17 | simplifying with (1119), (1250) gives:
% 159.63/24.17 | (1405) all_481_0 = all_345_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_431_0, all_497_0, all_96_35,
% 159.63/24.17 | simplifying with (1201), (1262) gives:
% 159.63/24.17 | (1406) all_497_0 = all_431_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_429_0, all_497_0, all_96_35,
% 159.63/24.17 | simplifying with (1199), (1262) gives:
% 159.63/24.17 | (1407) all_497_0 = all_429_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_505_0, all_513_0, all_96_35,
% 159.63/24.17 | simplifying with (1268), (1277) gives:
% 159.63/24.17 | (1408) all_513_0 = all_505_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_445_0, all_513_0, all_96_35,
% 159.63/24.17 | simplifying with (1212), (1277) gives:
% 159.63/24.17 | (1409) all_513_0 = all_445_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with n999, all_513_0, all_96_35, simplifying
% 159.63/24.17 | with (1097), (1277) gives:
% 159.63/24.17 | (1410) all_513_0 = n999
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_513_0, all_519_0, all_96_35,
% 159.63/24.17 | simplifying with (1277), (1283) gives:
% 159.63/24.17 | (1411) all_519_0 = all_513_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_519_0, all_529_0, all_96_35,
% 159.63/24.17 | simplifying with (1283), (1291) gives:
% 159.63/24.17 | (1412) all_529_0 = all_519_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_529_0, all_559_0, all_96_35,
% 159.63/24.17 | simplifying with (1291), (1319) gives:
% 159.63/24.17 | (1413) all_559_0 = all_529_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_507_0, all_559_0, all_96_35,
% 159.63/24.17 | simplifying with (1271), (1319) gives:
% 159.63/24.17 | (1414) all_559_0 = all_507_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_439_0, all_469_0, all_177_0,
% 159.63/24.17 | simplifying with (1208), (1236) gives:
% 159.63/24.17 | (1415) all_469_0 = all_439_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_469_0, all_471_0, all_177_0,
% 159.63/24.17 | simplifying with (1236), (1238) gives:
% 159.63/24.17 | (1416) all_471_0 = all_469_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_471_0, all_501_0, all_177_0,
% 159.63/24.17 | simplifying with (1238), (1264) gives:
% 159.63/24.17 | (1417) all_501_0 = all_471_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_501_0, all_533_0, all_177_0,
% 159.63/24.17 | simplifying with (1264), (1296) gives:
% 159.63/24.17 | (1418) all_533_0 = all_501_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_465_0, all_533_0, all_177_0,
% 159.63/24.17 | simplifying with (1232), (1296) gives:
% 159.63/24.17 | (1419) all_533_0 = all_465_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_469_0, all_575_1, all_177_0,
% 159.63/24.17 | simplifying with (1236), (1325) gives:
% 159.63/24.17 | (1420) all_575_1 = all_469_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_359_0, all_575_1, all_177_0,
% 159.63/24.17 | simplifying with (1133), (1325) gives:
% 159.63/24.17 | (1421) all_575_1 = all_359_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_553_0, all_589_2, all_177_0,
% 159.63/24.17 | simplifying with (1315), (1329) gives:
% 159.63/24.17 | (1422) all_589_2 = all_553_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_439_0, all_589_2, all_177_0,
% 159.63/24.17 | simplifying with (1208), (1329) gives:
% 159.63/24.17 | (1423) all_589_2 = all_439_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_421_0, all_589_2, all_177_0,
% 159.63/24.17 | simplifying with (1191), (1329) gives:
% 159.63/24.17 | (1424) all_589_2 = all_421_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_571_1, all_607_2, all_177_0,
% 159.63/24.17 | simplifying with (1323), (1335) gives:
% 159.63/24.17 | (1425) all_607_2 = all_571_1
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_501_0, all_607_2, all_177_0,
% 159.63/24.17 | simplifying with (1264), (1335) gives:
% 159.63/24.17 | (1426) all_607_2 = all_501_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_483_0, all_607_2, all_177_0,
% 159.63/24.17 | simplifying with (1252), (1335) gives:
% 159.63/24.17 | (1427) all_607_2 = all_483_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_385_0, all_387_0, all_187_0,
% 159.63/24.17 | simplifying with (1157), (1159) gives:
% 159.63/24.17 | (1428) all_387_0 = all_385_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_387_0, all_413_0, all_187_0,
% 159.63/24.17 | simplifying with (1159), (1180) gives:
% 159.63/24.17 | (1429) all_413_0 = all_387_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_413_0, all_489_0, all_187_0,
% 159.63/24.17 | simplifying with (1180), (1256) gives:
% 159.63/24.17 | (1430) all_489_0 = all_413_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_489_0, all_511_0, all_187_0,
% 159.63/24.17 | simplifying with (1256), (1275) gives:
% 159.63/24.17 | (1431) all_511_0 = all_489_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_385_0, all_533_1, all_187_0,
% 159.63/24.17 | simplifying with (1157), (1297) gives:
% 159.63/24.17 | (1432) all_533_1 = all_385_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_511_0, all_551_0, all_187_0,
% 159.63/24.17 | simplifying with (1275), (1313) gives:
% 159.63/24.17 | (1433) all_551_0 = all_511_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_381_0, all_551_0, all_187_0,
% 159.63/24.17 | simplifying with (1155), (1313) gives:
% 159.63/24.17 | (1434) all_551_0 = all_381_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_533_1, all_567_1, all_187_0,
% 159.63/24.17 | simplifying with (1297), (1321) gives:
% 159.63/24.17 | (1435) all_567_1 = all_533_1
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_523_0, all_579_1, all_187_0,
% 159.63/24.17 | simplifying with (1287), (1327) gives:
% 159.63/24.17 | (1436) all_579_1 = all_523_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_489_0, all_579_1, all_187_0,
% 159.63/24.17 | simplifying with (1256), (1327) gives:
% 159.63/24.17 | (1437) all_579_1 = all_489_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_579_1, all_591_2, all_187_0,
% 159.63/24.17 | simplifying with (1327), (1331) gives:
% 159.63/24.17 | (1438) all_591_2 = all_579_1
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_449_0, all_591_2, all_187_0,
% 159.63/24.17 | simplifying with (1216), (1331) gives:
% 159.63/24.17 | (1439) all_591_2 = all_449_0
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_567_1, all_593_2, all_187_0,
% 159.63/24.17 | simplifying with (1321), (1333) gives:
% 159.63/24.17 | (1440) all_593_2 = all_567_1
% 159.63/24.17 |
% 159.63/24.17 | GROUND_INST: instantiating (68) with all_347_0, all_593_2, all_187_0,
% 159.63/24.17 | simplifying with (1122), (1333) gives:
% 159.63/24.17 | (1441) all_593_2 = all_347_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1425), (1427) imply:
% 159.63/24.17 | (1442) all_571_1 = all_483_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1425), (1426) imply:
% 159.63/24.17 | (1443) all_571_1 = all_501_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1440), (1441) imply:
% 159.63/24.17 | (1444) all_567_1 = all_347_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1444) implies:
% 159.63/24.17 | (1445) all_567_1 = all_347_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1438), (1439) imply:
% 159.63/24.17 | (1446) all_579_1 = all_449_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1446) implies:
% 159.63/24.17 | (1447) all_579_1 = all_449_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1422), (1423) imply:
% 159.63/24.17 | (1448) all_553_0 = all_439_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1422), (1424) imply:
% 159.63/24.17 | (1449) all_553_0 = all_421_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1436), (1437) imply:
% 159.63/24.17 | (1450) all_523_0 = all_489_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1436), (1447) imply:
% 159.63/24.17 | (1451) all_523_0 = all_449_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1420), (1421) imply:
% 159.63/24.17 | (1452) all_469_0 = all_359_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1452) implies:
% 159.63/24.17 | (1453) all_469_0 = all_359_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1442), (1443) imply:
% 159.63/24.17 | (1454) all_501_0 = all_483_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1454) implies:
% 159.63/24.17 | (1455) all_501_0 = all_483_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1435), (1445) imply:
% 159.63/24.17 | (1456) all_533_1 = all_347_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1456) implies:
% 159.63/24.17 | (1457) all_533_1 = all_347_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1413), (1414) imply:
% 159.63/24.17 | (1458) all_529_0 = all_507_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1458) implies:
% 159.63/24.17 | (1459) all_529_0 = all_507_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1388), (1389) imply:
% 159.63/24.17 | (1460) all_515_0 = all_425_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1460) implies:
% 159.63/24.17 | (1461) all_515_0 = all_425_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1448), (1449) imply:
% 159.63/24.17 | (1462) all_439_0 = all_421_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1462) implies:
% 159.63/24.17 | (1463) all_439_0 = all_421_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1433), (1434) imply:
% 159.63/24.17 | (1464) all_511_0 = all_381_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1464) implies:
% 159.63/24.17 | (1465) all_511_0 = all_381_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1339), (1340) imply:
% 159.63/24.17 | (1466) all_543_1 = all_493_1
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1466) implies:
% 159.63/24.17 | (1467) all_543_1 = all_493_1
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1365), (1366) imply:
% 159.63/24.17 | (1468) all_531_0 = all_525_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1364), (1365) imply:
% 159.63/24.17 | (1469) all_543_0 = all_531_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1469) implies:
% 159.63/24.17 | (1470) all_543_0 = all_531_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1363), (1470) imply:
% 159.63/24.17 | (1471) all_531_0 = all_453_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1471) implies:
% 159.63/24.17 | (1472) all_531_0 = all_453_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1338), (1467) imply:
% 159.63/24.17 | (1473) all_497_1 = all_493_1
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1473) implies:
% 159.63/24.17 | (1474) all_497_1 = all_493_1
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1361), (1362) imply:
% 159.63/24.17 | (1475) all_443_0 = all_393_0
% 159.63/24.17 |
% 159.63/24.17 | SIMP: (1475) implies:
% 159.63/24.17 | (1476) all_443_0 = all_393_0
% 159.63/24.17 |
% 159.63/24.17 | COMBINE_EQS: (1342), (1343) imply:
% 159.63/24.17 | (1477) all_539_1 = all_481_1
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1477) implies:
% 159.63/24.18 | (1478) all_539_1 = all_481_1
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1385), (1386) imply:
% 159.63/24.18 | (1479) all_509_0 = all_459_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1385), (1387) imply:
% 159.63/24.18 | (1480) all_509_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1341), (1478) imply:
% 159.63/24.18 | (1481) all_481_1 = n0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1481) implies:
% 159.63/24.18 | (1482) all_481_1 = n0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1358), (1359) imply:
% 159.63/24.18 | (1483) all_517_0 = all_487_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1483) implies:
% 159.63/24.18 | (1484) all_517_0 = all_487_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1359), (1360) imply:
% 159.63/24.18 | (1485) all_487_0 = all_477_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1418), (1419) imply:
% 159.63/24.18 | (1486) all_501_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1486) implies:
% 159.63/24.18 | (1487) all_501_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1432), (1457) imply:
% 159.63/24.18 | (1488) all_385_0 = all_347_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1488) implies:
% 159.63/24.18 | (1489) all_385_0 = all_347_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1468), (1472) imply:
% 159.63/24.18 | (1490) all_525_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1490) implies:
% 159.63/24.18 | (1491) all_525_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1383), (1384) imply:
% 159.63/24.18 | (1492) all_371_0 = all_353_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1492) implies:
% 159.63/24.18 | (1493) all_371_0 = all_353_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1382), (1384) imply:
% 159.63/24.18 | (1494) all_353_0 = all_129_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1412), (1459) imply:
% 159.63/24.18 | (1495) all_519_0 = all_507_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1495) implies:
% 159.63/24.18 | (1496) all_519_0 = all_507_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1357), (1491) imply:
% 159.63/24.18 | (1497) all_517_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1497) implies:
% 159.63/24.18 | (1498) all_517_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1450), (1451) imply:
% 159.63/24.18 | (1499) all_489_0 = all_449_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1499) implies:
% 159.63/24.18 | (1500) all_489_0 = all_449_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1380), (1381) imply:
% 159.63/24.18 | (1501) all_493_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1501) implies:
% 159.63/24.18 | (1502) all_493_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1411), (1496) imply:
% 159.63/24.18 | (1503) all_513_0 = all_507_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1503) implies:
% 159.63/24.18 | (1504) all_513_0 = all_507_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1484), (1498) imply:
% 159.63/24.18 | (1505) all_487_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1505) implies:
% 159.63/24.18 | (1506) all_487_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1379), (1461) imply:
% 159.63/24.18 | (1507) all_425_0 = all_423_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1378), (1461) imply:
% 159.63/24.18 | (1508) all_461_0 = all_425_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1508) implies:
% 159.63/24.18 | (1509) all_461_0 = all_425_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1409), (1504) imply:
% 159.63/24.18 | (1510) all_507_0 = all_445_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1410), (1504) imply:
% 159.63/24.18 | (1511) all_507_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1408), (1504) imply:
% 159.63/24.18 | (1512) all_507_0 = all_505_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1431), (1465) imply:
% 159.63/24.18 | (1513) all_489_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1513) implies:
% 159.63/24.18 | (1514) all_489_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1479), (1480) imply:
% 159.63/24.18 | (1515) all_459_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1515) implies:
% 159.63/24.18 | (1516) all_459_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1511), (1512) imply:
% 159.63/24.18 | (1517) all_505_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1510), (1512) imply:
% 159.63/24.18 | (1518) all_505_0 = all_445_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1376), (1377) imply:
% 159.63/24.18 | (1519) all_503_0 = all_463_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1519) implies:
% 159.63/24.18 | (1520) all_503_0 = all_463_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1517), (1518) imply:
% 159.63/24.18 | (1521) all_445_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1521) implies:
% 159.63/24.18 | (1522) all_445_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1375), (1520) imply:
% 159.63/24.18 | (1523) all_479_0 = all_463_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1523) implies:
% 159.63/24.18 | (1524) all_479_0 = all_463_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1417), (1455) imply:
% 159.63/24.18 | (1525) all_483_0 = all_471_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1455), (1487) imply:
% 159.63/24.18 | (1526) all_483_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1406), (1407) imply:
% 159.63/24.18 | (1527) all_431_0 = all_429_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1527) implies:
% 159.63/24.18 | (1528) all_431_0 = all_429_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1337), (1474) imply:
% 159.63/24.18 | (1529) all_493_1 = n1
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1529) implies:
% 159.63/24.18 | (1530) all_493_1 = n1
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1373), (1374) imply:
% 159.63/24.18 | (1531) all_455_0 = all_451_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1373), (1502) imply:
% 159.63/24.18 | (1532) all_455_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1430), (1500) imply:
% 159.63/24.18 | (1533) all_449_0 = all_413_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1500), (1514) imply:
% 159.63/24.18 | (1534) all_449_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1485), (1506) imply:
% 159.63/24.18 | (1535) all_477_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1535) implies:
% 159.63/24.18 | (1536) all_477_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1525), (1526) imply:
% 159.63/24.18 | (1537) all_471_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1537) implies:
% 159.63/24.18 | (1538) all_471_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1404), (1405) imply:
% 159.63/24.18 | (1539) all_419_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1539) implies:
% 159.63/24.18 | (1540) all_419_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1372), (1524) imply:
% 159.63/24.18 | (1541) all_463_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1371), (1524) imply:
% 159.63/24.18 | (1542) all_463_0 = all_461_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1356), (1536) imply:
% 159.63/24.18 | (1543) all_473_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1543) implies:
% 159.63/24.18 | (1544) all_473_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1354), (1355) imply:
% 159.63/24.18 | (1545) all_447_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1545) implies:
% 159.63/24.18 | (1546) all_447_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1353), (1544) imply:
% 159.63/24.18 | (1547) all_467_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1547) implies:
% 159.63/24.18 | (1548) all_467_0 = all_453_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1416), (1538) imply:
% 159.63/24.18 | (1549) all_469_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1549) implies:
% 159.63/24.18 | (1550) all_469_0 = all_465_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1453), (1550) imply:
% 159.63/24.18 | (1551) all_465_0 = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1415), (1550) imply:
% 159.63/24.18 | (1552) all_465_0 = all_439_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1350), (1548) imply:
% 159.63/24.18 | (1553) all_453_0 = all_443_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1351), (1548) imply:
% 159.63/24.18 | (1554) all_453_0 = all_435_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1352), (1548) imply:
% 159.63/24.18 | (1555) all_453_0 = all_397_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1551), (1552) imply:
% 159.63/24.18 | (1556) all_439_0 = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1556) implies:
% 159.63/24.18 | (1557) all_439_0 = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1541), (1542) imply:
% 159.63/24.18 | (1558) all_461_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1558) implies:
% 159.63/24.18 | (1559) all_461_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1509), (1559) imply:
% 159.63/24.18 | (1560) all_425_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1560) implies:
% 159.63/24.18 | (1561) all_425_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1368), (1369) imply:
% 159.63/24.18 | (1562) all_457_0 = all_423_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1368), (1370) imply:
% 159.63/24.18 | (1563) all_457_0 = all_371_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1368), (1516) imply:
% 159.63/24.18 | (1564) all_457_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1562), (1564) imply:
% 159.63/24.18 | (1565) all_423_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1565) implies:
% 159.63/24.18 | (1566) all_423_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1563), (1564) imply:
% 159.63/24.18 | (1567) all_375_0 = all_371_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1531), (1532) imply:
% 159.63/24.18 | (1568) all_451_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1568) implies:
% 159.63/24.18 | (1569) all_451_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1554), (1555) imply:
% 159.63/24.18 | (1570) all_435_0 = all_397_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1553), (1554) imply:
% 159.63/24.18 | (1571) all_443_0 = all_435_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1571) implies:
% 159.63/24.18 | (1572) all_443_0 = all_435_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1367), (1569) imply:
% 159.63/24.18 | (1573) all_423_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1573) implies:
% 159.63/24.18 | (1574) all_423_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1533), (1534) imply:
% 159.63/24.18 | (1575) all_413_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1575) implies:
% 159.63/24.18 | (1576) all_413_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1349), (1546) imply:
% 159.63/24.18 | (1577) all_397_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1577) implies:
% 159.63/24.18 | (1578) all_397_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1403), (1522) imply:
% 159.63/24.18 | (1579) all_433_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1579) implies:
% 159.63/24.18 | (1580) all_433_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1476), (1572) imply:
% 159.63/24.18 | (1581) all_435_0 = all_393_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1581) implies:
% 159.63/24.18 | (1582) all_435_0 = all_393_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1463), (1557) imply:
% 159.63/24.18 | (1583) all_421_0 = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1583) implies:
% 159.63/24.18 | (1584) all_421_0 = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1570), (1582) imply:
% 159.63/24.18 | (1585) all_397_0 = all_393_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1585) implies:
% 159.63/24.18 | (1586) all_397_0 = all_393_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1402), (1580) imply:
% 159.63/24.18 | (1587) all_431_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1587) implies:
% 159.63/24.18 | (1588) all_431_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1401), (1528) imply:
% 159.63/24.18 | (1589) all_429_0 = all_427_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1528), (1588) imply:
% 159.63/24.18 | (1590) all_429_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1589), (1590) imply:
% 159.63/24.18 | (1591) all_427_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1591) implies:
% 159.63/24.18 | (1592) all_427_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1400), (1592) imply:
% 159.63/24.18 | (1593) all_411_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1593) implies:
% 159.63/24.18 | (1594) all_411_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1507), (1561) imply:
% 159.63/24.18 | (1595) all_423_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1595) implies:
% 159.63/24.18 | (1596) all_423_0 = all_409_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1574), (1596) imply:
% 159.63/24.18 | (1597) all_409_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1566), (1596) imply:
% 159.63/24.18 | (1598) all_409_0 = all_375_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1399), (1540) imply:
% 159.63/24.18 | (1599) all_417_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1599) implies:
% 159.63/24.18 | (1600) all_417_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1398), (1600) imply:
% 159.63/24.18 | (1601) all_399_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1601) implies:
% 159.63/24.18 | (1602) all_399_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1429), (1576) imply:
% 159.63/24.18 | (1603) all_387_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1603) implies:
% 159.63/24.18 | (1604) all_387_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1397), (1594) imply:
% 159.63/24.18 | (1605) all_403_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1605) implies:
% 159.63/24.18 | (1606) all_403_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1597), (1598) imply:
% 159.63/24.18 | (1607) all_375_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1607) implies:
% 159.63/24.18 | (1608) all_375_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1396), (1606) imply:
% 159.63/24.18 | (1609) all_377_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1609) implies:
% 159.63/24.18 | (1610) all_377_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1395), (1602) imply:
% 159.63/24.18 | (1611) all_379_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1611) implies:
% 159.63/24.18 | (1612) all_379_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1348), (1586) imply:
% 159.63/24.18 | (1613) all_393_0 = all_365_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1578), (1586) imply:
% 159.63/24.18 | (1614) all_393_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1346), (1347) imply:
% 159.63/24.18 | (1615) all_391_0 = all_349_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1615) implies:
% 159.63/24.18 | (1616) all_391_0 = all_349_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1613), (1614) imply:
% 159.63/24.18 | (1617) all_365_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1617) implies:
% 159.63/24.18 | (1618) all_365_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1345), (1616) imply:
% 159.63/24.18 | (1619) all_361_0 = all_349_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1619) implies:
% 159.63/24.18 | (1620) all_361_0 = all_349_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1428), (1604) imply:
% 159.63/24.18 | (1621) all_385_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1621) implies:
% 159.63/24.18 | (1622) all_385_0 = all_381_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1489), (1622) imply:
% 159.63/24.18 | (1623) all_381_0 = all_347_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1623) implies:
% 159.63/24.18 | (1624) all_381_0 = all_347_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1394), (1612) imply:
% 159.63/24.18 | (1625) all_367_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1625) implies:
% 159.63/24.18 | (1626) all_367_0 = all_345_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1393), (1612) imply:
% 159.63/24.18 | (1627) all_345_0 = all_177_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1392), (1610) imply:
% 159.63/24.18 | (1628) all_373_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1628) implies:
% 159.63/24.18 | (1629) all_373_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1567), (1608) imply:
% 159.63/24.18 | (1630) all_371_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1630) implies:
% 159.63/24.18 | (1631) all_371_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1391), (1629) imply:
% 159.63/24.18 | (1632) all_369_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1632) implies:
% 159.63/24.18 | (1633) all_369_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1493), (1631) imply:
% 159.63/24.18 | (1634) all_353_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1634) implies:
% 159.63/24.18 | (1635) all_353_0 = all_351_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1390), (1633) imply:
% 159.63/24.18 | (1636) all_367_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1636) implies:
% 159.63/24.18 | (1637) all_367_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1626), (1637) imply:
% 159.63/24.18 | (1638) all_345_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1638) implies:
% 159.63/24.18 | (1639) all_345_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1344), (1618) imply:
% 159.63/24.18 | (1640) all_361_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1640) implies:
% 159.63/24.18 | (1641) all_361_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1620), (1641) imply:
% 159.63/24.18 | (1642) all_349_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | SIMP: (1642) implies:
% 159.63/24.18 | (1643) all_349_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1494), (1635) imply:
% 159.63/24.18 | (1644) all_351_0 = all_129_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1627), (1639) imply:
% 159.63/24.18 | (1645) all_177_0 = n999
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1631), (1644) imply:
% 159.63/24.18 | (1646) all_371_0 = all_129_0
% 159.63/24.18 |
% 159.63/24.18 | COMBINE_EQS: (1582), (1614) imply:
% 159.63/24.18 | (1647) all_435_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1133), (1645) imply:
% 159.63/24.18 | (1648) succ(n999) = all_359_0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1130), (1494) imply:
% 159.63/24.18 | (1649) leq(tptp_minus_1, all_129_0) = 0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1124), (1643) imply:
% 159.63/24.18 | (1650) leq(tptp_minus_1, all_343_0) = 0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1205), (1647) imply:
% 159.63/24.18 | (1651) leq(n0, all_343_0) = 0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1143), (1646) imply:
% 159.63/24.18 | (1652) leq(n0, all_129_0) = 0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1190), (1584) imply:
% 159.63/24.18 | (1653) $i(all_359_0)
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1154), (1624) imply:
% 159.63/24.18 | (1654) $i(all_347_0)
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1127), (1644) imply:
% 159.63/24.18 | (1655) $i(all_129_0)
% 159.63/24.18 |
% 159.63/24.18 | GROUND_INST: instantiating (68) with all_343_0, all_359_0, n999, simplifying
% 159.63/24.18 | with (1117), (1648) gives:
% 159.63/24.18 | (1656) all_359_0 = all_343_0
% 159.63/24.18 |
% 159.63/24.18 | REDUCE: (1653), (1656) imply:
% 159.63/24.18 | (1657) $i(all_343_0)
% 159.63/24.18 |
% 159.63/24.18 | BETA: splitting (118) gives:
% 159.63/24.18 |
% 159.63/24.19 | Case 1:
% 159.63/24.19 | |
% 159.63/24.19 | | (1658) (all_96_2 = 0 & all_96_3 = 0 & all_96_4 = 0 & all_96_5 = 0 & ~
% 159.63/24.19 | | (all_96_0 = all_96_1) & a_select3(q_ds1_filter, all_96_6,
% 159.63/24.19 | | all_96_7) = all_96_0 & a_select3(q_ds1_filter, all_96_7,
% 159.63/24.19 | | all_96_6) = all_96_1 & leq(all_96_6, all_96_34) = 0 &
% 159.63/24.19 | | leq(all_96_7, all_96_34) = 0 & leq(n0, all_96_6) = 0 & leq(n0,
% 159.63/24.19 | | all_96_7) = 0 & $i(all_96_0) & $i(all_96_1)) | (all_96_10 = 0
% 159.63/24.19 | | & all_96_11 = 0 & all_96_12 = 0 & all_96_13 = 0 & ~ (all_96_8 =
% 159.63/24.19 | | all_96_9) & a_select3(r_ds1_filter, all_96_14, all_96_15) =
% 159.63/24.19 | | all_96_8 & a_select3(r_ds1_filter, all_96_15, all_96_14) =
% 159.63/24.19 | | all_96_9 & leq(all_96_14, all_96_33) = 0 & leq(all_96_15,
% 159.63/24.19 | | all_96_33) = 0 & leq(n0, all_96_14) = 0 & leq(n0, all_96_15) =
% 159.63/24.19 | | 0 & $i(all_96_8) & $i(all_96_9))
% 159.63/24.19 | |
% 159.63/24.19 | | BETA: splitting (1658) gives:
% 159.63/24.19 | |
% 159.63/24.19 | | Case 1:
% 159.63/24.19 | | |
% 159.63/24.19 | | | (1659) all_96_2 = 0 & all_96_3 = 0 & all_96_4 = 0 & all_96_5 = 0 & ~
% 159.63/24.19 | | | (all_96_0 = all_96_1) & a_select3(q_ds1_filter, all_96_6,
% 159.63/24.19 | | | all_96_7) = all_96_0 & a_select3(q_ds1_filter, all_96_7,
% 159.63/24.19 | | | all_96_6) = all_96_1 & leq(all_96_6, all_96_34) = 0 &
% 159.63/24.19 | | | leq(all_96_7, all_96_34) = 0 & leq(n0, all_96_6) = 0 & leq(n0,
% 159.63/24.19 | | | all_96_7) = 0 & $i(all_96_0) & $i(all_96_1)
% 159.63/24.19 | | |
% 159.63/24.19 | | | ALPHA: (1659) implies:
% 159.63/24.19 | | | (1660) ~ (all_96_0 = all_96_1)
% 159.63/24.19 | | | (1661) leq(n0, all_96_7) = 0
% 159.63/24.19 | | | (1662) leq(n0, all_96_6) = 0
% 159.63/24.19 | | | (1663) leq(all_96_7, all_96_34) = 0
% 159.63/24.19 | | | (1664) leq(all_96_6, all_96_34) = 0
% 159.63/24.19 | | | (1665) a_select3(q_ds1_filter, all_96_7, all_96_6) = all_96_1
% 159.63/24.19 | | | (1666) a_select3(q_ds1_filter, all_96_6, all_96_7) = all_96_0
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1664) imply:
% 159.63/24.19 | | | (1667) leq(all_96_6, n5) = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1663) imply:
% 159.63/24.19 | | | (1668) leq(all_96_7, n5) = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (120) with all_96_6, all_96_7, all_96_1,
% 159.63/24.19 | | | simplifying with (110), (111), (1665) gives:
% 159.63/24.19 | | | (1669) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.19 | | | [v4: $i] : (a_select3(q_ds1_filter, all_96_6, all_96_7) = v4 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = v2 & leq(all_96_7, all_96_34) = v3
% 159.63/24.19 | | | & leq(n0, all_96_6) = v0 & leq(n0, all_96_7) = v1 & $i(v4) & (
% 159.63/24.19 | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.63/24.19 | | | all_96_1))
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (119) with all_96_7, all_96_6, all_96_1,
% 159.63/24.19 | | | simplifying with (110), (111), (1665) gives:
% 159.63/24.19 | | | (1670) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.19 | | | [v4: $i] : (a_select3(q_ds1_filter, all_96_6, all_96_7) = v4 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = v3 & leq(all_96_7, all_96_34) = v2
% 159.63/24.19 | | | & leq(n0, all_96_6) = v1 & leq(n0, all_96_7) = v0 & $i(v4) & (
% 159.63/24.19 | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.63/24.19 | | | all_96_1))
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (120) with all_96_7, all_96_6, all_96_0,
% 159.63/24.19 | | | simplifying with (110), (111), (1666) gives:
% 159.63/24.19 | | | (1671) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.19 | | | [v4: $i] : (a_select3(q_ds1_filter, all_96_7, all_96_6) = v4 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = v3 & leq(all_96_7, all_96_34) = v2
% 159.63/24.19 | | | & leq(n0, all_96_6) = v1 & leq(n0, all_96_7) = v0 & $i(v4) & (
% 159.63/24.19 | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.63/24.19 | | | all_96_0))
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (119) with all_96_6, all_96_7, all_96_0,
% 159.63/24.19 | | | simplifying with (110), (111), (1666) gives:
% 159.63/24.19 | | | (1672) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.19 | | | [v4: $i] : (a_select3(q_ds1_filter, all_96_7, all_96_6) = v4 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = v2 & leq(all_96_7, all_96_34) = v3
% 159.63/24.19 | | | & leq(n0, all_96_6) = v0 & leq(n0, all_96_7) = v1 & $i(v4) & (
% 159.63/24.19 | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.63/24.19 | | | all_96_0))
% 159.63/24.19 | | |
% 159.63/24.19 | | | DELTA: instantiating (1672) with fresh symbols all_945_0, all_945_1,
% 159.63/24.19 | | | all_945_2, all_945_3, all_945_4 gives:
% 159.63/24.19 | | | (1673) a_select3(q_ds1_filter, all_96_7, all_96_6) = all_945_0 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = all_945_2 & leq(all_96_7, all_96_34)
% 159.63/24.19 | | | = all_945_1 & leq(n0, all_96_6) = all_945_4 & leq(n0, all_96_7)
% 159.63/24.19 | | | = all_945_3 & $i(all_945_0) & ( ~ (all_945_1 = 0) | ~
% 159.63/24.19 | | | (all_945_2 = 0) | ~ (all_945_3 = 0) | ~ (all_945_4 = 0) |
% 159.63/24.19 | | | all_945_0 = all_96_0)
% 159.63/24.19 | | |
% 159.63/24.19 | | | ALPHA: (1673) implies:
% 159.63/24.19 | | | (1674) leq(all_96_6, all_96_34) = all_945_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | DELTA: instantiating (1669) with fresh symbols all_947_0, all_947_1,
% 159.63/24.19 | | | all_947_2, all_947_3, all_947_4 gives:
% 159.63/24.19 | | | (1675) a_select3(q_ds1_filter, all_96_6, all_96_7) = all_947_0 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = all_947_2 & leq(all_96_7, all_96_34)
% 159.63/24.19 | | | = all_947_1 & leq(n0, all_96_6) = all_947_4 & leq(n0, all_96_7)
% 159.63/24.19 | | | = all_947_3 & $i(all_947_0) & ( ~ (all_947_1 = 0) | ~
% 159.63/24.19 | | | (all_947_2 = 0) | ~ (all_947_3 = 0) | ~ (all_947_4 = 0) |
% 159.63/24.19 | | | all_947_0 = all_96_1)
% 159.63/24.19 | | |
% 159.63/24.19 | | | ALPHA: (1675) implies:
% 159.63/24.19 | | | (1676) leq(n0, all_96_7) = all_947_3
% 159.63/24.19 | | | (1677) leq(n0, all_96_6) = all_947_4
% 159.63/24.19 | | | (1678) leq(all_96_7, all_96_34) = all_947_1
% 159.63/24.19 | | | (1679) leq(all_96_6, all_96_34) = all_947_2
% 159.63/24.19 | | | (1680) a_select3(q_ds1_filter, all_96_6, all_96_7) = all_947_0
% 159.63/24.19 | | | (1681) ~ (all_947_1 = 0) | ~ (all_947_2 = 0) | ~ (all_947_3 = 0) |
% 159.63/24.19 | | | ~ (all_947_4 = 0) | all_947_0 = all_96_1
% 159.63/24.19 | | |
% 159.63/24.19 | | | DELTA: instantiating (1671) with fresh symbols all_949_0, all_949_1,
% 159.63/24.19 | | | all_949_2, all_949_3, all_949_4 gives:
% 159.63/24.19 | | | (1682) a_select3(q_ds1_filter, all_96_7, all_96_6) = all_949_0 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = all_949_1 & leq(all_96_7, all_96_34)
% 159.63/24.19 | | | = all_949_2 & leq(n0, all_96_6) = all_949_3 & leq(n0, all_96_7)
% 159.63/24.19 | | | = all_949_4 & $i(all_949_0) & ( ~ (all_949_1 = 0) | ~
% 159.63/24.19 | | | (all_949_2 = 0) | ~ (all_949_3 = 0) | ~ (all_949_4 = 0) |
% 159.63/24.19 | | | all_949_0 = all_96_0)
% 159.63/24.19 | | |
% 159.63/24.19 | | | ALPHA: (1682) implies:
% 159.63/24.19 | | | (1683) leq(all_96_6, all_96_34) = all_949_1
% 159.63/24.19 | | |
% 159.63/24.19 | | | DELTA: instantiating (1670) with fresh symbols all_951_0, all_951_1,
% 159.63/24.19 | | | all_951_2, all_951_3, all_951_4 gives:
% 159.63/24.19 | | | (1684) a_select3(q_ds1_filter, all_96_6, all_96_7) = all_951_0 &
% 159.63/24.19 | | | leq(all_96_6, all_96_34) = all_951_1 & leq(all_96_7, all_96_34)
% 159.63/24.19 | | | = all_951_2 & leq(n0, all_96_6) = all_951_3 & leq(n0, all_96_7)
% 159.63/24.19 | | | = all_951_4 & $i(all_951_0) & ( ~ (all_951_1 = 0) | ~
% 159.63/24.19 | | | (all_951_2 = 0) | ~ (all_951_3 = 0) | ~ (all_951_4 = 0) |
% 159.63/24.19 | | | all_951_0 = all_96_1)
% 159.63/24.19 | | |
% 159.63/24.19 | | | ALPHA: (1684) implies:
% 159.63/24.19 | | | (1685) leq(all_96_6, all_96_34) = all_951_1
% 159.63/24.19 | | | (1686) a_select3(q_ds1_filter, all_96_6, all_96_7) = all_951_0
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1685) imply:
% 159.63/24.19 | | | (1687) leq(all_96_6, n5) = all_951_1
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1683) imply:
% 159.63/24.19 | | | (1688) leq(all_96_6, n5) = all_949_1
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1679) imply:
% 159.63/24.19 | | | (1689) leq(all_96_6, n5) = all_947_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1674) imply:
% 159.63/24.19 | | | (1690) leq(all_96_6, n5) = all_945_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | REDUCE: (791), (1678) imply:
% 159.63/24.19 | | | (1691) leq(all_96_7, n5) = all_947_1
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with 0, all_947_3, all_96_7, n0,
% 159.63/24.19 | | | simplifying with (1661), (1676) gives:
% 159.63/24.19 | | | (1692) all_947_3 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with 0, all_947_4, all_96_6, n0,
% 159.63/24.19 | | | simplifying with (1662), (1677) gives:
% 159.63/24.19 | | | (1693) all_947_4 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with 0, all_947_1, n5, all_96_7,
% 159.63/24.19 | | | simplifying with (1668), (1691) gives:
% 159.63/24.19 | | | (1694) all_947_1 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with 0, all_949_1, n5, all_96_6,
% 159.63/24.19 | | | simplifying with (1667), (1688) gives:
% 159.63/24.19 | | | (1695) all_949_1 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with all_947_2, all_949_1, n5, all_96_6,
% 159.63/24.19 | | | simplifying with (1688), (1689) gives:
% 159.63/24.19 | | | (1696) all_949_1 = all_947_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with all_947_2, all_951_1, n5, all_96_6,
% 159.63/24.19 | | | simplifying with (1687), (1689) gives:
% 159.63/24.19 | | | (1697) all_951_1 = all_947_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (69) with all_945_2, all_951_1, n5, all_96_6,
% 159.63/24.19 | | | simplifying with (1687), (1690) gives:
% 159.63/24.19 | | | (1698) all_951_1 = all_945_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (71) with all_96_0, all_951_0, all_96_7,
% 159.63/24.19 | | | all_96_6, q_ds1_filter, simplifying with (1666), (1686)
% 159.63/24.19 | | | gives:
% 159.63/24.19 | | | (1699) all_951_0 = all_96_0
% 159.63/24.19 | | |
% 159.63/24.19 | | | GROUND_INST: instantiating (71) with all_947_0, all_951_0, all_96_7,
% 159.63/24.19 | | | all_96_6, q_ds1_filter, simplifying with (1680), (1686)
% 159.63/24.19 | | | gives:
% 159.63/24.19 | | | (1700) all_951_0 = all_947_0
% 159.63/24.19 | | |
% 159.63/24.19 | | | COMBINE_EQS: (1699), (1700) imply:
% 159.63/24.19 | | | (1701) all_947_0 = all_96_0
% 159.63/24.19 | | |
% 159.63/24.19 | | | COMBINE_EQS: (1697), (1698) imply:
% 159.63/24.19 | | | (1702) all_947_2 = all_945_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | SIMP: (1702) implies:
% 159.63/24.19 | | | (1703) all_947_2 = all_945_2
% 159.63/24.19 | | |
% 159.63/24.19 | | | COMBINE_EQS: (1695), (1696) imply:
% 159.63/24.19 | | | (1704) all_947_2 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | SIMP: (1704) implies:
% 159.63/24.19 | | | (1705) all_947_2 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | COMBINE_EQS: (1703), (1705) imply:
% 159.63/24.19 | | | (1706) all_945_2 = 0
% 159.63/24.19 | | |
% 159.63/24.19 | | | BETA: splitting (1681) gives:
% 159.63/24.19 | | |
% 159.63/24.19 | | | Case 1:
% 159.63/24.19 | | | |
% 159.63/24.19 | | | | (1707) ~ (all_947_1 = 0)
% 159.63/24.19 | | | |
% 159.63/24.19 | | | | REDUCE: (1694), (1707) imply:
% 159.63/24.20 | | | | (1708) $false
% 159.63/24.20 | | | |
% 159.63/24.20 | | | | CLOSE: (1708) is inconsistent.
% 159.63/24.20 | | | |
% 159.63/24.20 | | | Case 2:
% 159.63/24.20 | | | |
% 159.63/24.20 | | | | (1709) ~ (all_947_2 = 0) | ~ (all_947_3 = 0) | ~ (all_947_4 = 0) |
% 159.63/24.20 | | | | all_947_0 = all_96_1
% 159.63/24.20 | | | |
% 159.63/24.20 | | | | BETA: splitting (1709) gives:
% 159.63/24.20 | | | |
% 159.63/24.20 | | | | Case 1:
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | (1710) ~ (all_947_2 = 0)
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | REDUCE: (1705), (1710) imply:
% 159.63/24.20 | | | | | (1711) $false
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | CLOSE: (1711) is inconsistent.
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | Case 2:
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | (1712) ~ (all_947_3 = 0) | ~ (all_947_4 = 0) | all_947_0 =
% 159.63/24.20 | | | | | all_96_1
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | BETA: splitting (1712) gives:
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | | Case 1:
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | (1713) ~ (all_947_3 = 0)
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | REDUCE: (1692), (1713) imply:
% 159.63/24.20 | | | | | | (1714) $false
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | CLOSE: (1714) is inconsistent.
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | Case 2:
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | (1715) ~ (all_947_4 = 0) | all_947_0 = all_96_1
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | BETA: splitting (1715) gives:
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | | Case 1:
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | (1716) ~ (all_947_4 = 0)
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | REDUCE: (1693), (1716) imply:
% 159.63/24.20 | | | | | | | (1717) $false
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | CLOSE: (1717) is inconsistent.
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | Case 2:
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | (1718) all_947_0 = all_96_1
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | COMBINE_EQS: (1701), (1718) imply:
% 159.63/24.20 | | | | | | | (1719) all_96_0 = all_96_1
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | REDUCE: (1660), (1719) imply:
% 159.63/24.20 | | | | | | | (1720) $false
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | | CLOSE: (1720) is inconsistent.
% 159.63/24.20 | | | | | | |
% 159.63/24.20 | | | | | | End of split
% 159.63/24.20 | | | | | |
% 159.63/24.20 | | | | | End of split
% 159.63/24.20 | | | | |
% 159.63/24.20 | | | | End of split
% 159.63/24.20 | | | |
% 159.63/24.20 | | | End of split
% 159.63/24.20 | | |
% 159.63/24.20 | | Case 2:
% 159.63/24.20 | | |
% 159.63/24.20 | | | (1721) all_96_10 = 0 & all_96_11 = 0 & all_96_12 = 0 & all_96_13 = 0 &
% 159.63/24.20 | | | ~ (all_96_8 = all_96_9) & a_select3(r_ds1_filter, all_96_14,
% 159.63/24.20 | | | all_96_15) = all_96_8 & a_select3(r_ds1_filter, all_96_15,
% 159.63/24.20 | | | all_96_14) = all_96_9 & leq(all_96_14, all_96_33) = 0 &
% 159.63/24.20 | | | leq(all_96_15, all_96_33) = 0 & leq(n0, all_96_14) = 0 & leq(n0,
% 159.63/24.20 | | | all_96_15) = 0 & $i(all_96_8) & $i(all_96_9)
% 159.63/24.20 | | |
% 159.63/24.20 | | | ALPHA: (1721) implies:
% 159.63/24.20 | | | (1722) ~ (all_96_8 = all_96_9)
% 159.63/24.20 | | | (1723) leq(n0, all_96_15) = 0
% 159.63/24.20 | | | (1724) leq(n0, all_96_14) = 0
% 159.63/24.20 | | | (1725) leq(all_96_15, all_96_33) = 0
% 159.63/24.20 | | | (1726) leq(all_96_14, all_96_33) = 0
% 159.63/24.20 | | | (1727) a_select3(r_ds1_filter, all_96_15, all_96_14) = all_96_9
% 159.63/24.20 | | | (1728) a_select3(r_ds1_filter, all_96_14, all_96_15) = all_96_8
% 159.63/24.20 | | |
% 159.63/24.20 | | | REDUCE: (786), (1726) imply:
% 159.63/24.20 | | | (1729) leq(all_96_14, n2) = 0
% 159.63/24.20 | | |
% 159.63/24.20 | | | REDUCE: (786), (1725) imply:
% 159.63/24.20 | | | (1730) leq(all_96_15, n2) = 0
% 159.63/24.20 | | |
% 159.63/24.20 | | | GROUND_INST: instantiating (122) with all_96_14, all_96_15, all_96_9,
% 159.63/24.20 | | | simplifying with (108), (109), (1727) gives:
% 159.63/24.20 | | | (1731) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.20 | | | [v4: $i] : (a_select3(r_ds1_filter, all_96_14, all_96_15) = v4 &
% 159.63/24.20 | | | leq(all_96_14, all_96_33) = v2 & leq(all_96_15, all_96_33) =
% 159.63/24.20 | | | v3 & leq(n0, all_96_14) = v0 & leq(n0, all_96_15) = v1 &
% 159.63/24.20 | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 159.63/24.20 | | | 0) | v4 = all_96_9))
% 159.63/24.20 | | |
% 159.63/24.20 | | | GROUND_INST: instantiating (121) with all_96_15, all_96_14, all_96_9,
% 159.63/24.20 | | | simplifying with (108), (109), (1727) gives:
% 159.63/24.20 | | | (1732) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.20 | | | [v4: $i] : (a_select3(r_ds1_filter, all_96_14, all_96_15) = v4 &
% 159.63/24.20 | | | leq(all_96_14, all_96_33) = v3 & leq(all_96_15, all_96_33) =
% 159.63/24.20 | | | v2 & leq(n0, all_96_14) = v1 & leq(n0, all_96_15) = v0 &
% 159.63/24.20 | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 159.63/24.20 | | | 0) | v4 = all_96_9))
% 159.63/24.20 | | |
% 159.63/24.20 | | | GROUND_INST: instantiating (122) with all_96_15, all_96_14, all_96_8,
% 159.63/24.20 | | | simplifying with (108), (109), (1728) gives:
% 159.63/24.21 | | | (1733) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.21 | | | [v4: $i] : (a_select3(r_ds1_filter, all_96_15, all_96_14) = v4 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = v3 & leq(all_96_15, all_96_33) =
% 159.63/24.21 | | | v2 & leq(n0, all_96_14) = v1 & leq(n0, all_96_15) = v0 &
% 159.63/24.21 | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 159.63/24.21 | | | 0) | v4 = all_96_8))
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (121) with all_96_14, all_96_15, all_96_8,
% 159.63/24.21 | | | simplifying with (108), (109), (1728) gives:
% 159.63/24.21 | | | (1734) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.63/24.21 | | | [v4: $i] : (a_select3(r_ds1_filter, all_96_15, all_96_14) = v4 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = v2 & leq(all_96_15, all_96_33) =
% 159.63/24.21 | | | v3 & leq(n0, all_96_14) = v0 & leq(n0, all_96_15) = v1 &
% 159.63/24.21 | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 159.63/24.21 | | | 0) | v4 = all_96_8))
% 159.63/24.21 | | |
% 159.63/24.21 | | | DELTA: instantiating (1734) with fresh symbols all_945_0, all_945_1,
% 159.63/24.21 | | | all_945_2, all_945_3, all_945_4 gives:
% 159.63/24.21 | | | (1735) a_select3(r_ds1_filter, all_96_15, all_96_14) = all_945_0 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = all_945_2 & leq(all_96_15,
% 159.63/24.21 | | | all_96_33) = all_945_1 & leq(n0, all_96_14) = all_945_4 &
% 159.63/24.21 | | | leq(n0, all_96_15) = all_945_3 & $i(all_945_0) & ( ~ (all_945_1
% 159.63/24.21 | | | = 0) | ~ (all_945_2 = 0) | ~ (all_945_3 = 0) | ~
% 159.63/24.21 | | | (all_945_4 = 0) | all_945_0 = all_96_8)
% 159.63/24.21 | | |
% 159.63/24.21 | | | ALPHA: (1735) implies:
% 159.63/24.21 | | | (1736) leq(n0, all_96_15) = all_945_3
% 159.63/24.21 | | | (1737) leq(n0, all_96_14) = all_945_4
% 159.63/24.21 | | | (1738) leq(all_96_15, all_96_33) = all_945_1
% 159.63/24.21 | | | (1739) leq(all_96_14, all_96_33) = all_945_2
% 159.63/24.21 | | | (1740) a_select3(r_ds1_filter, all_96_15, all_96_14) = all_945_0
% 159.63/24.21 | | | (1741) ~ (all_945_1 = 0) | ~ (all_945_2 = 0) | ~ (all_945_3 = 0) |
% 159.63/24.21 | | | ~ (all_945_4 = 0) | all_945_0 = all_96_8
% 159.63/24.21 | | |
% 159.63/24.21 | | | DELTA: instantiating (1733) with fresh symbols all_947_0, all_947_1,
% 159.63/24.21 | | | all_947_2, all_947_3, all_947_4 gives:
% 159.63/24.21 | | | (1742) a_select3(r_ds1_filter, all_96_15, all_96_14) = all_947_0 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = all_947_1 & leq(all_96_15,
% 159.63/24.21 | | | all_96_33) = all_947_2 & leq(n0, all_96_14) = all_947_3 &
% 159.63/24.21 | | | leq(n0, all_96_15) = all_947_4 & $i(all_947_0) & ( ~ (all_947_1
% 159.63/24.21 | | | = 0) | ~ (all_947_2 = 0) | ~ (all_947_3 = 0) | ~
% 159.63/24.21 | | | (all_947_4 = 0) | all_947_0 = all_96_8)
% 159.63/24.21 | | |
% 159.63/24.21 | | | ALPHA: (1742) implies:
% 159.63/24.21 | | | (1743) leq(n0, all_96_15) = all_947_4
% 159.63/24.21 | | | (1744) leq(n0, all_96_14) = all_947_3
% 159.63/24.21 | | | (1745) leq(all_96_15, all_96_33) = all_947_2
% 159.63/24.21 | | | (1746) leq(all_96_14, all_96_33) = all_947_1
% 159.63/24.21 | | | (1747) a_select3(r_ds1_filter, all_96_15, all_96_14) = all_947_0
% 159.63/24.21 | | |
% 159.63/24.21 | | | DELTA: instantiating (1732) with fresh symbols all_949_0, all_949_1,
% 159.63/24.21 | | | all_949_2, all_949_3, all_949_4 gives:
% 159.63/24.21 | | | (1748) a_select3(r_ds1_filter, all_96_14, all_96_15) = all_949_0 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = all_949_1 & leq(all_96_15,
% 159.63/24.21 | | | all_96_33) = all_949_2 & leq(n0, all_96_14) = all_949_3 &
% 159.63/24.21 | | | leq(n0, all_96_15) = all_949_4 & $i(all_949_0) & ( ~ (all_949_1
% 159.63/24.21 | | | = 0) | ~ (all_949_2 = 0) | ~ (all_949_3 = 0) | ~
% 159.63/24.21 | | | (all_949_4 = 0) | all_949_0 = all_96_9)
% 159.63/24.21 | | |
% 159.63/24.21 | | | ALPHA: (1748) implies:
% 159.63/24.21 | | | (1749) leq(n0, all_96_15) = all_949_4
% 159.63/24.21 | | | (1750) leq(n0, all_96_14) = all_949_3
% 159.63/24.21 | | | (1751) leq(all_96_15, all_96_33) = all_949_2
% 159.63/24.21 | | | (1752) leq(all_96_14, all_96_33) = all_949_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | DELTA: instantiating (1731) with fresh symbols all_951_0, all_951_1,
% 159.63/24.21 | | | all_951_2, all_951_3, all_951_4 gives:
% 159.63/24.21 | | | (1753) a_select3(r_ds1_filter, all_96_14, all_96_15) = all_951_0 &
% 159.63/24.21 | | | leq(all_96_14, all_96_33) = all_951_2 & leq(all_96_15,
% 159.63/24.21 | | | all_96_33) = all_951_1 & leq(n0, all_96_14) = all_951_4 &
% 159.63/24.21 | | | leq(n0, all_96_15) = all_951_3 & $i(all_951_0) & ( ~ (all_951_1
% 159.63/24.21 | | | = 0) | ~ (all_951_2 = 0) | ~ (all_951_3 = 0) | ~
% 159.63/24.21 | | | (all_951_4 = 0) | all_951_0 = all_96_9)
% 159.63/24.21 | | |
% 159.63/24.21 | | | ALPHA: (1753) implies:
% 159.63/24.21 | | | (1754) leq(n0, all_96_15) = all_951_3
% 159.63/24.21 | | | (1755) leq(n0, all_96_14) = all_951_4
% 159.63/24.21 | | | (1756) leq(all_96_15, all_96_33) = all_951_1
% 159.63/24.21 | | | (1757) leq(all_96_14, all_96_33) = all_951_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1757) imply:
% 159.63/24.21 | | | (1758) leq(all_96_14, n2) = all_951_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1752) imply:
% 159.63/24.21 | | | (1759) leq(all_96_14, n2) = all_949_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1746) imply:
% 159.63/24.21 | | | (1760) leq(all_96_14, n2) = all_947_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1739) imply:
% 159.63/24.21 | | | (1761) leq(all_96_14, n2) = all_945_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1756) imply:
% 159.63/24.21 | | | (1762) leq(all_96_15, n2) = all_951_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1751) imply:
% 159.63/24.21 | | | (1763) leq(all_96_15, n2) = all_949_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1745) imply:
% 159.63/24.21 | | | (1764) leq(all_96_15, n2) = all_947_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | REDUCE: (786), (1738) imply:
% 159.63/24.21 | | | (1765) leq(all_96_15, n2) = all_945_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with 0, all_947_4, all_96_15, n0,
% 159.63/24.21 | | | simplifying with (1723), (1743) gives:
% 159.63/24.21 | | | (1766) all_947_4 = 0
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_947_4, all_949_4, all_96_15, n0,
% 159.63/24.21 | | | simplifying with (1743), (1749) gives:
% 159.63/24.21 | | | (1767) all_949_4 = all_947_4
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_949_4, all_951_3, all_96_15, n0,
% 159.63/24.21 | | | simplifying with (1749), (1754) gives:
% 159.63/24.21 | | | (1768) all_951_3 = all_949_4
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_945_3, all_951_3, all_96_15, n0,
% 159.63/24.21 | | | simplifying with (1736), (1754) gives:
% 159.63/24.21 | | | (1769) all_951_3 = all_945_3
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with 0, all_947_3, all_96_14, n0,
% 159.63/24.21 | | | simplifying with (1724), (1744) gives:
% 159.63/24.21 | | | (1770) all_947_3 = 0
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_947_3, all_949_3, all_96_14, n0,
% 159.63/24.21 | | | simplifying with (1744), (1750) gives:
% 159.63/24.21 | | | (1771) all_949_3 = all_947_3
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_949_3, all_951_4, all_96_14, n0,
% 159.63/24.21 | | | simplifying with (1750), (1755) gives:
% 159.63/24.21 | | | (1772) all_951_4 = all_949_3
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_945_4, all_951_4, all_96_14, n0,
% 159.63/24.21 | | | simplifying with (1737), (1755) gives:
% 159.63/24.21 | | | (1773) all_951_4 = all_945_4
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with 0, all_947_2, n2, all_96_15,
% 159.63/24.21 | | | simplifying with (1730), (1764) gives:
% 159.63/24.21 | | | (1774) all_947_2 = 0
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_949_2, all_951_1, n2, all_96_15,
% 159.63/24.21 | | | simplifying with (1762), (1763) gives:
% 159.63/24.21 | | | (1775) all_951_1 = all_949_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_947_2, all_951_1, n2, all_96_15,
% 159.63/24.21 | | | simplifying with (1762), (1764) gives:
% 159.63/24.21 | | | (1776) all_951_1 = all_947_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_945_1, all_951_1, n2, all_96_15,
% 159.63/24.21 | | | simplifying with (1762), (1765) gives:
% 159.63/24.21 | | | (1777) all_951_1 = all_945_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with 0, all_949_1, n2, all_96_14,
% 159.63/24.21 | | | simplifying with (1729), (1759) gives:
% 159.63/24.21 | | | (1778) all_949_1 = 0
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_947_1, all_949_1, n2, all_96_14,
% 159.63/24.21 | | | simplifying with (1759), (1760) gives:
% 159.63/24.21 | | | (1779) all_949_1 = all_947_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_947_1, all_951_2, n2, all_96_14,
% 159.63/24.21 | | | simplifying with (1758), (1760) gives:
% 159.63/24.21 | | | (1780) all_951_2 = all_947_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (69) with all_945_2, all_951_2, n2, all_96_14,
% 159.63/24.21 | | | simplifying with (1758), (1761) gives:
% 159.63/24.21 | | | (1781) all_951_2 = all_945_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (71) with all_96_9, all_947_0, all_96_14,
% 159.63/24.21 | | | all_96_15, r_ds1_filter, simplifying with (1727), (1747)
% 159.63/24.21 | | | gives:
% 159.63/24.21 | | | (1782) all_947_0 = all_96_9
% 159.63/24.21 | | |
% 159.63/24.21 | | | GROUND_INST: instantiating (71) with all_945_0, all_947_0, all_96_14,
% 159.63/24.21 | | | all_96_15, r_ds1_filter, simplifying with (1740), (1747)
% 159.63/24.21 | | | gives:
% 159.63/24.21 | | | (1783) all_947_0 = all_945_0
% 159.63/24.21 | | |
% 159.63/24.21 | | | COMBINE_EQS: (1775), (1777) imply:
% 159.63/24.21 | | | (1784) all_949_2 = all_945_1
% 159.63/24.21 | | |
% 159.63/24.21 | | | COMBINE_EQS: (1775), (1776) imply:
% 159.63/24.21 | | | (1785) all_949_2 = all_947_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | COMBINE_EQS: (1780), (1781) imply:
% 159.63/24.21 | | | (1786) all_947_1 = all_945_2
% 159.63/24.21 | | |
% 159.63/24.21 | | | SIMP: (1786) implies:
% 159.63/24.21 | | | (1787) all_947_1 = all_945_2
% 159.63/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1768), (1769) imply:
% 159.87/24.21 | | | (1788) all_949_4 = all_945_3
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1788) implies:
% 159.87/24.21 | | | (1789) all_949_4 = all_945_3
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1772), (1773) imply:
% 159.87/24.21 | | | (1790) all_949_3 = all_945_4
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1790) implies:
% 159.87/24.21 | | | (1791) all_949_3 = all_945_4
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1778), (1779) imply:
% 159.87/24.21 | | | (1792) all_947_1 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1792) implies:
% 159.87/24.21 | | | (1793) all_947_1 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1784), (1785) imply:
% 159.87/24.21 | | | (1794) all_947_2 = all_945_1
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1794) implies:
% 159.87/24.21 | | | (1795) all_947_2 = all_945_1
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1771), (1791) imply:
% 159.87/24.21 | | | (1796) all_947_3 = all_945_4
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1796) implies:
% 159.87/24.21 | | | (1797) all_947_3 = all_945_4
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1767), (1789) imply:
% 159.87/24.21 | | | (1798) all_947_4 = all_945_3
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1798) implies:
% 159.87/24.21 | | | (1799) all_947_4 = all_945_3
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1782), (1783) imply:
% 159.87/24.21 | | | (1800) all_945_0 = all_96_9
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1787), (1793) imply:
% 159.87/24.21 | | | (1801) all_945_2 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1774), (1795) imply:
% 159.87/24.21 | | | (1802) all_945_1 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1802) implies:
% 159.87/24.21 | | | (1803) all_945_1 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1770), (1797) imply:
% 159.87/24.21 | | | (1804) all_945_4 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1804) implies:
% 159.87/24.21 | | | (1805) all_945_4 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | COMBINE_EQS: (1766), (1799) imply:
% 159.87/24.21 | | | (1806) all_945_3 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | SIMP: (1806) implies:
% 159.87/24.21 | | | (1807) all_945_3 = 0
% 159.87/24.21 | | |
% 159.87/24.21 | | | BETA: splitting (1741) gives:
% 159.87/24.21 | | |
% 159.87/24.21 | | | Case 1:
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | (1808) ~ (all_945_1 = 0)
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | REDUCE: (1803), (1808) imply:
% 159.87/24.21 | | | | (1809) $false
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | CLOSE: (1809) is inconsistent.
% 159.87/24.21 | | | |
% 159.87/24.21 | | | Case 2:
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | (1810) ~ (all_945_2 = 0) | ~ (all_945_3 = 0) | ~ (all_945_4 = 0) |
% 159.87/24.21 | | | | all_945_0 = all_96_8
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | BETA: splitting (1810) gives:
% 159.87/24.21 | | | |
% 159.87/24.21 | | | | Case 1:
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | (1811) ~ (all_945_2 = 0)
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | REDUCE: (1801), (1811) imply:
% 159.87/24.21 | | | | | (1812) $false
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | CLOSE: (1812) is inconsistent.
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | Case 2:
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | (1813) ~ (all_945_3 = 0) | ~ (all_945_4 = 0) | all_945_0 =
% 159.87/24.21 | | | | | all_96_8
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | BETA: splitting (1813) gives:
% 159.87/24.21 | | | | |
% 159.87/24.21 | | | | | Case 1:
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | (1814) ~ (all_945_3 = 0)
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | REDUCE: (1807), (1814) imply:
% 159.87/24.21 | | | | | | (1815) $false
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | CLOSE: (1815) is inconsistent.
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | Case 2:
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | (1816) ~ (all_945_4 = 0) | all_945_0 = all_96_8
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | BETA: splitting (1816) gives:
% 159.87/24.21 | | | | | |
% 159.87/24.21 | | | | | | Case 1:
% 159.87/24.21 | | | | | | |
% 159.87/24.21 | | | | | | | (1817) ~ (all_945_4 = 0)
% 159.87/24.21 | | | | | | |
% 159.87/24.21 | | | | | | | REDUCE: (1805), (1817) imply:
% 159.87/24.21 | | | | | | | (1818) $false
% 159.87/24.21 | | | | | | |
% 159.87/24.21 | | | | | | | CLOSE: (1818) is inconsistent.
% 159.87/24.21 | | | | | | |
% 159.87/24.21 | | | | | | Case 2:
% 159.87/24.21 | | | | | | |
% 159.87/24.21 | | | | | | | (1819) all_945_0 = all_96_8
% 159.87/24.22 | | | | | | |
% 159.87/24.22 | | | | | | | COMBINE_EQS: (1800), (1819) imply:
% 159.87/24.22 | | | | | | | (1820) all_96_8 = all_96_9
% 159.87/24.22 | | | | | | |
% 159.87/24.22 | | | | | | | SIMP: (1820) implies:
% 159.87/24.22 | | | | | | | (1821) all_96_8 = all_96_9
% 159.87/24.22 | | | | | | |
% 159.87/24.22 | | | | | | | REDUCE: (1722), (1821) imply:
% 159.87/24.22 | | | | | | | (1822) $false
% 159.87/24.22 | | | | | | |
% 159.87/24.22 | | | | | | | CLOSE: (1822) is inconsistent.
% 159.87/24.22 | | | | | | |
% 159.87/24.22 | | | | | | End of split
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | End of split
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | End of split
% 159.87/24.22 | | | |
% 159.87/24.22 | | | End of split
% 159.87/24.22 | | |
% 159.87/24.22 | | End of split
% 159.87/24.22 | |
% 159.87/24.22 | Case 2:
% 159.87/24.22 | |
% 159.87/24.22 | | (1823) (all_96_18 = 0 & all_96_19 = 0 & all_96_20 = 0 & all_96_21 = 0 &
% 159.87/24.22 | | ~ (all_96_16 = all_96_17) & a_select3(pminus_ds1_filter,
% 159.87/24.22 | | all_96_22, all_96_23) = all_96_16 &
% 159.87/24.22 | | a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_96_17 &
% 159.87/24.22 | | leq(all_96_22, all_96_34) = 0 & leq(all_96_23, all_96_34) = 0 &
% 159.87/24.22 | | leq(n0, all_96_22) = 0 & leq(n0, all_96_23) = 0 & $i(all_96_16)
% 159.87/24.22 | | & $i(all_96_17)) | (all_96_26 = 0 & all_96_27 = 0 & all_96_29 =
% 159.87/24.22 | | 0 & all_96_30 = 0 & ~ (all_96_24 = all_96_25) &
% 159.87/24.22 | | a_select3(id_ds1_filter, all_96_28, all_96_31) = all_96_24 &
% 159.87/24.22 | | a_select3(id_ds1_filter, all_96_31, all_96_28) = all_96_25 &
% 159.87/24.22 | | leq(all_96_28, all_96_34) = 0 & leq(all_96_31, all_96_32) = 0 &
% 159.87/24.22 | | leq(n0, all_96_28) = 0 & leq(n0, all_96_31) = 0 & $i(all_96_24)
% 159.87/24.22 | | & $i(all_96_25))
% 159.87/24.22 | |
% 159.87/24.22 | | BETA: splitting (1823) gives:
% 159.87/24.22 | |
% 159.87/24.22 | | Case 1:
% 159.87/24.22 | | |
% 159.87/24.22 | | | (1824) all_96_18 = 0 & all_96_19 = 0 & all_96_20 = 0 & all_96_21 = 0 &
% 159.87/24.22 | | | ~ (all_96_16 = all_96_17) & a_select3(pminus_ds1_filter,
% 159.87/24.22 | | | all_96_22, all_96_23) = all_96_16 &
% 159.87/24.22 | | | a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_96_17 &
% 159.87/24.22 | | | leq(all_96_22, all_96_34) = 0 & leq(all_96_23, all_96_34) = 0 &
% 159.87/24.22 | | | leq(n0, all_96_22) = 0 & leq(n0, all_96_23) = 0 & $i(all_96_16)
% 159.87/24.22 | | | & $i(all_96_17)
% 159.87/24.22 | | |
% 159.87/24.22 | | | ALPHA: (1824) implies:
% 159.87/24.22 | | | (1825) ~ (all_96_16 = all_96_17)
% 159.87/24.22 | | | (1826) leq(n0, all_96_23) = 0
% 159.87/24.22 | | | (1827) leq(n0, all_96_22) = 0
% 159.87/24.22 | | | (1828) leq(all_96_23, all_96_34) = 0
% 159.87/24.22 | | | (1829) leq(all_96_22, all_96_34) = 0
% 159.87/24.22 | | | (1830) a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_96_17
% 159.87/24.22 | | | (1831) a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_96_16
% 159.87/24.22 | | |
% 159.87/24.22 | | | REDUCE: (791), (1829) imply:
% 159.87/24.22 | | | (1832) leq(all_96_22, n5) = 0
% 159.87/24.22 | | |
% 159.87/24.22 | | | REDUCE: (791), (1828) imply:
% 159.87/24.22 | | | (1833) leq(all_96_23, n5) = 0
% 159.87/24.22 | | |
% 159.87/24.22 | | | BETA: splitting (223) gives:
% 159.87/24.22 | | |
% 159.87/24.22 | | | Case 1:
% 159.87/24.22 | | | |
% 159.87/24.22 | | | | (1834) gt(pv5, n0) = 0
% 159.87/24.22 | | | |
% 159.87/24.22 | | | | BETA: splitting (222) gives:
% 159.87/24.22 | | | |
% 159.87/24.22 | | | | Case 1:
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | (1835) pv5 = n0
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | REDUCE: (1834), (1835) imply:
% 159.87/24.22 | | | | | (1836) gt(n0, n0) = 0
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | GROUND_INST: instantiating (irreflexivity_gt) with n0, simplifying
% 159.87/24.22 | | | | | with (62), (1836) gives:
% 159.87/24.22 | | | | | (1837) $false
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | CLOSE: (1837) is inconsistent.
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | Case 2:
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | (1838) ~ (pv5 = n0)
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | BETA: splitting (221) gives:
% 159.87/24.22 | | | | |
% 159.87/24.22 | | | | | Case 1:
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | | (1839) pv5 = n0
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | | REDUCE: (1838), (1839) imply:
% 159.87/24.22 | | | | | | (1840) $false
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | | CLOSE: (1840) is inconsistent.
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | Case 2:
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | | GROUND_INST: instantiating (124) with all_96_22, all_96_23,
% 159.87/24.22 | | | | | | all_96_17, simplifying with (106), (107), (1830) gives:
% 159.87/24.22 | | | | | | (1841) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 159.87/24.22 | | | | | | : ? [v4: $i] : (a_select3(pminus_ds1_filter, all_96_22,
% 159.87/24.22 | | | | | | all_96_23) = v4 & leq(all_96_22, all_96_34) = v2 &
% 159.87/24.22 | | | | | | leq(all_96_23, all_96_34) = v3 & leq(n0, all_96_22) = v0
% 159.87/24.22 | | | | | | & leq(n0, all_96_23) = v1 & $i(v4) & ( ~ (v3 = 0) | ~
% 159.87/24.22 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.87/24.22 | | | | | | all_96_17))
% 159.87/24.22 | | | | | |
% 159.87/24.22 | | | | | | GROUND_INST: instantiating (123) with all_96_23, all_96_22,
% 159.87/24.22 | | | | | | all_96_17, simplifying with (106), (107), (1830) gives:
% 159.87/24.23 | | | | | | (1842) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 159.87/24.23 | | | | | | : ? [v4: $i] : (a_select3(pminus_ds1_filter, all_96_22,
% 159.87/24.23 | | | | | | all_96_23) = v4 & leq(all_96_22, all_96_34) = v3 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = v2 & leq(n0, all_96_22) = v1
% 159.87/24.23 | | | | | | & leq(n0, all_96_23) = v0 & $i(v4) & ( ~ (v3 = 0) | ~
% 159.87/24.23 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.87/24.23 | | | | | | all_96_17))
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (124) with all_96_23, all_96_22,
% 159.87/24.23 | | | | | | all_96_16, simplifying with (106), (107), (1831) gives:
% 159.87/24.23 | | | | | | (1843) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 159.87/24.23 | | | | | | : ? [v4: $i] : (a_select3(pminus_ds1_filter, all_96_23,
% 159.87/24.23 | | | | | | all_96_22) = v4 & leq(all_96_22, all_96_34) = v3 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = v2 & leq(n0, all_96_22) = v1
% 159.87/24.23 | | | | | | & leq(n0, all_96_23) = v0 & $i(v4) & ( ~ (v3 = 0) | ~
% 159.87/24.23 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.87/24.23 | | | | | | all_96_16))
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (123) with all_96_22, all_96_23,
% 159.87/24.23 | | | | | | all_96_16, simplifying with (106), (107), (1831) gives:
% 159.87/24.23 | | | | | | (1844) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 159.87/24.23 | | | | | | : ? [v4: $i] : (a_select3(pminus_ds1_filter, all_96_23,
% 159.87/24.23 | | | | | | all_96_22) = v4 & leq(all_96_22, all_96_34) = v2 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = v3 & leq(n0, all_96_22) = v0
% 159.87/24.23 | | | | | | & leq(n0, all_96_23) = v1 & $i(v4) & ( ~ (v3 = 0) | ~
% 159.87/24.23 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 159.87/24.23 | | | | | | all_96_16))
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | DELTA: instantiating (1843) with fresh symbols all_1019_0,
% 159.87/24.23 | | | | | | all_1019_1, all_1019_2, all_1019_3, all_1019_4 gives:
% 159.87/24.23 | | | | | | (1845) a_select3(pminus_ds1_filter, all_96_23, all_96_22) =
% 159.87/24.23 | | | | | | all_1019_0 & leq(all_96_22, all_96_34) = all_1019_1 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = all_1019_2 & leq(n0,
% 159.87/24.23 | | | | | | all_96_22) = all_1019_3 & leq(n0, all_96_23) =
% 159.87/24.23 | | | | | | all_1019_4 & $i(all_1019_0) & ( ~ (all_1019_1 = 0) | ~
% 159.87/24.23 | | | | | | (all_1019_2 = 0) | ~ (all_1019_3 = 0) | ~ (all_1019_4
% 159.87/24.23 | | | | | | = 0) | all_1019_0 = all_96_16)
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | ALPHA: (1845) implies:
% 159.87/24.23 | | | | | | (1846) leq(n0, all_96_22) = all_1019_3
% 159.87/24.23 | | | | | | (1847) leq(all_96_22, all_96_34) = all_1019_1
% 159.87/24.23 | | | | | | (1848) a_select3(pminus_ds1_filter, all_96_23, all_96_22) =
% 159.87/24.23 | | | | | | all_1019_0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | DELTA: instantiating (1842) with fresh symbols all_1021_0,
% 159.87/24.23 | | | | | | all_1021_1, all_1021_2, all_1021_3, all_1021_4 gives:
% 159.87/24.23 | | | | | | (1849) a_select3(pminus_ds1_filter, all_96_22, all_96_23) =
% 159.87/24.23 | | | | | | all_1021_0 & leq(all_96_22, all_96_34) = all_1021_1 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = all_1021_2 & leq(n0,
% 159.87/24.23 | | | | | | all_96_22) = all_1021_3 & leq(n0, all_96_23) =
% 159.87/24.23 | | | | | | all_1021_4 & $i(all_1021_0) & ( ~ (all_1021_1 = 0) | ~
% 159.87/24.23 | | | | | | (all_1021_2 = 0) | ~ (all_1021_3 = 0) | ~ (all_1021_4
% 159.87/24.23 | | | | | | = 0) | all_1021_0 = all_96_17)
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | ALPHA: (1849) implies:
% 159.87/24.23 | | | | | | (1850) leq(n0, all_96_22) = all_1021_3
% 159.87/24.23 | | | | | | (1851) leq(all_96_22, all_96_34) = all_1021_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | DELTA: instantiating (1844) with fresh symbols all_1023_0,
% 159.87/24.23 | | | | | | all_1023_1, all_1023_2, all_1023_3, all_1023_4 gives:
% 159.87/24.23 | | | | | | (1852) a_select3(pminus_ds1_filter, all_96_23, all_96_22) =
% 159.87/24.23 | | | | | | all_1023_0 & leq(all_96_22, all_96_34) = all_1023_2 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = all_1023_1 & leq(n0,
% 159.87/24.23 | | | | | | all_96_22) = all_1023_4 & leq(n0, all_96_23) =
% 159.87/24.23 | | | | | | all_1023_3 & $i(all_1023_0) & ( ~ (all_1023_1 = 0) | ~
% 159.87/24.23 | | | | | | (all_1023_2 = 0) | ~ (all_1023_3 = 0) | ~ (all_1023_4
% 159.87/24.23 | | | | | | = 0) | all_1023_0 = all_96_16)
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | ALPHA: (1852) implies:
% 159.87/24.23 | | | | | | (1853) leq(n0, all_96_23) = all_1023_3
% 159.87/24.23 | | | | | | (1854) leq(n0, all_96_22) = all_1023_4
% 159.87/24.23 | | | | | | (1855) leq(all_96_23, all_96_34) = all_1023_1
% 159.87/24.23 | | | | | | (1856) leq(all_96_22, all_96_34) = all_1023_2
% 159.87/24.23 | | | | | | (1857) a_select3(pminus_ds1_filter, all_96_23, all_96_22) =
% 159.87/24.23 | | | | | | all_1023_0
% 159.87/24.23 | | | | | | (1858) ~ (all_1023_1 = 0) | ~ (all_1023_2 = 0) | ~ (all_1023_3
% 159.87/24.23 | | | | | | = 0) | ~ (all_1023_4 = 0) | all_1023_0 = all_96_16
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | DELTA: instantiating (1841) with fresh symbols all_1025_0,
% 159.87/24.23 | | | | | | all_1025_1, all_1025_2, all_1025_3, all_1025_4 gives:
% 159.87/24.23 | | | | | | (1859) a_select3(pminus_ds1_filter, all_96_22, all_96_23) =
% 159.87/24.23 | | | | | | all_1025_0 & leq(all_96_22, all_96_34) = all_1025_2 &
% 159.87/24.23 | | | | | | leq(all_96_23, all_96_34) = all_1025_1 & leq(n0,
% 159.87/24.23 | | | | | | all_96_22) = all_1025_4 & leq(n0, all_96_23) =
% 159.87/24.23 | | | | | | all_1025_3 & $i(all_1025_0) & ( ~ (all_1025_1 = 0) | ~
% 159.87/24.23 | | | | | | (all_1025_2 = 0) | ~ (all_1025_3 = 0) | ~ (all_1025_4
% 159.87/24.23 | | | | | | = 0) | all_1025_0 = all_96_17)
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | ALPHA: (1859) implies:
% 159.87/24.23 | | | | | | (1860) leq(n0, all_96_23) = all_1025_3
% 159.87/24.23 | | | | | | (1861) leq(n0, all_96_22) = all_1025_4
% 159.87/24.23 | | | | | | (1862) leq(all_96_22, all_96_34) = all_1025_2
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | REDUCE: (791), (1862) imply:
% 159.87/24.23 | | | | | | (1863) leq(all_96_22, n5) = all_1025_2
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | REDUCE: (791), (1856) imply:
% 159.87/24.23 | | | | | | (1864) leq(all_96_22, n5) = all_1023_2
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | REDUCE: (791), (1851) imply:
% 159.87/24.23 | | | | | | (1865) leq(all_96_22, n5) = all_1021_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | REDUCE: (791), (1847) imply:
% 159.87/24.23 | | | | | | (1866) leq(all_96_22, n5) = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | REDUCE: (791), (1855) imply:
% 159.87/24.23 | | | | | | (1867) leq(all_96_23, n5) = all_1023_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with 0, all_1025_3, all_96_23, n0,
% 159.87/24.23 | | | | | | simplifying with (1826), (1860) gives:
% 159.87/24.23 | | | | | | (1868) all_1025_3 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1023_3, all_1025_3,
% 159.87/24.23 | | | | | | all_96_23, n0, simplifying with (1853), (1860) gives:
% 159.87/24.23 | | | | | | (1869) all_1025_3 = all_1023_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with 0, all_1021_3, all_96_22, n0,
% 159.87/24.23 | | | | | | simplifying with (1827), (1850) gives:
% 159.87/24.23 | | | | | | (1870) all_1021_3 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1023_4, all_1025_4,
% 159.87/24.23 | | | | | | all_96_22, n0, simplifying with (1854), (1861) gives:
% 159.87/24.23 | | | | | | (1871) all_1025_4 = all_1023_4
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1021_3, all_1025_4,
% 159.87/24.23 | | | | | | all_96_22, n0, simplifying with (1850), (1861) gives:
% 159.87/24.23 | | | | | | (1872) all_1025_4 = all_1021_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1019_3, all_1025_4,
% 159.87/24.23 | | | | | | all_96_22, n0, simplifying with (1846), (1861) gives:
% 159.87/24.23 | | | | | | (1873) all_1025_4 = all_1019_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with 0, all_1023_1, n5, all_96_23,
% 159.87/24.23 | | | | | | simplifying with (1833), (1867) gives:
% 159.87/24.23 | | | | | | (1874) all_1023_1 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with 0, all_1021_1, n5, all_96_22,
% 159.87/24.23 | | | | | | simplifying with (1832), (1865) gives:
% 159.87/24.23 | | | | | | (1875) all_1021_1 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1021_1, all_1023_2, n5,
% 159.87/24.23 | | | | | | all_96_22, simplifying with (1864), (1865) gives:
% 159.87/24.23 | | | | | | (1876) all_1023_2 = all_1021_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1023_2, all_1025_2, n5,
% 159.87/24.23 | | | | | | all_96_22, simplifying with (1863), (1864) gives:
% 159.87/24.23 | | | | | | (1877) all_1025_2 = all_1023_2
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (69) with all_1019_1, all_1025_2, n5,
% 159.87/24.23 | | | | | | all_96_22, simplifying with (1863), (1866) gives:
% 159.87/24.23 | | | | | | (1878) all_1025_2 = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (71) with all_96_17, all_1023_0,
% 159.87/24.23 | | | | | | all_96_22, all_96_23, pminus_ds1_filter, simplifying
% 159.87/24.23 | | | | | | with (1830), (1857) gives:
% 159.87/24.23 | | | | | | (1879) all_1023_0 = all_96_17
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | GROUND_INST: instantiating (71) with all_1019_0, all_1023_0,
% 159.87/24.23 | | | | | | all_96_22, all_96_23, pminus_ds1_filter, simplifying
% 159.87/24.23 | | | | | | with (1848), (1857) gives:
% 159.87/24.23 | | | | | | (1880) all_1023_0 = all_1019_0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1877), (1878) imply:
% 159.87/24.23 | | | | | | (1881) all_1023_2 = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | SIMP: (1881) implies:
% 159.87/24.23 | | | | | | (1882) all_1023_2 = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1868), (1869) imply:
% 159.87/24.23 | | | | | | (1883) all_1023_3 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1871), (1873) imply:
% 159.87/24.23 | | | | | | (1884) all_1023_4 = all_1019_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1871), (1872) imply:
% 159.87/24.23 | | | | | | (1885) all_1023_4 = all_1021_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1879), (1880) imply:
% 159.87/24.23 | | | | | | (1886) all_1019_0 = all_96_17
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1876), (1882) imply:
% 159.87/24.23 | | | | | | (1887) all_1021_1 = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | SIMP: (1887) implies:
% 159.87/24.23 | | | | | | (1888) all_1021_1 = all_1019_1
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1884), (1885) imply:
% 159.87/24.23 | | | | | | (1889) all_1021_3 = all_1019_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | SIMP: (1889) implies:
% 159.87/24.23 | | | | | | (1890) all_1021_3 = all_1019_3
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1875), (1888) imply:
% 159.87/24.23 | | | | | | (1891) all_1019_1 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | SIMP: (1891) implies:
% 159.87/24.23 | | | | | | (1892) all_1019_1 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1870), (1890) imply:
% 159.87/24.23 | | | | | | (1893) all_1019_3 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | SIMP: (1893) implies:
% 159.87/24.23 | | | | | | (1894) all_1019_3 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1884), (1894) imply:
% 159.87/24.23 | | | | | | (1895) all_1023_4 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | COMBINE_EQS: (1882), (1892) imply:
% 159.87/24.23 | | | | | | (1896) all_1023_2 = 0
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | BETA: splitting (1858) gives:
% 159.87/24.23 | | | | | |
% 159.87/24.23 | | | | | | Case 1:
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | (1897) ~ (all_1023_1 = 0)
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | REDUCE: (1874), (1897) imply:
% 159.87/24.23 | | | | | | | (1898) $false
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | CLOSE: (1898) is inconsistent.
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | Case 2:
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | (1899) ~ (all_1023_2 = 0) | ~ (all_1023_3 = 0) | ~
% 159.87/24.23 | | | | | | | (all_1023_4 = 0) | all_1023_0 = all_96_16
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | BETA: splitting (1899) gives:
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | | Case 1:
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | (1900) ~ (all_1023_2 = 0)
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | REDUCE: (1896), (1900) imply:
% 159.87/24.23 | | | | | | | | (1901) $false
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | CLOSE: (1901) is inconsistent.
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | Case 2:
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | (1902) ~ (all_1023_3 = 0) | ~ (all_1023_4 = 0) | all_1023_0
% 159.87/24.23 | | | | | | | | = all_96_16
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | BETA: splitting (1902) gives:
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | | Case 1:
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | (1903) ~ (all_1023_3 = 0)
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | REDUCE: (1883), (1903) imply:
% 159.87/24.23 | | | | | | | | | (1904) $false
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | CLOSE: (1904) is inconsistent.
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | Case 2:
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | (1905) ~ (all_1023_4 = 0) | all_1023_0 = all_96_16
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | BETA: splitting (1905) gives:
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | | Case 1:
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | (1906) ~ (all_1023_4 = 0)
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | REDUCE: (1895), (1906) imply:
% 159.87/24.23 | | | | | | | | | | (1907) $false
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | Case 2:
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | (1908) all_1023_0 = all_96_16
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | COMBINE_EQS: (1879), (1908) imply:
% 159.87/24.23 | | | | | | | | | | (1909) all_96_16 = all_96_17
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | SIMP: (1909) implies:
% 159.87/24.23 | | | | | | | | | | (1910) all_96_16 = all_96_17
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | REDUCE: (1825), (1910) imply:
% 159.87/24.23 | | | | | | | | | | (1911) $false
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | | CLOSE: (1911) is inconsistent.
% 159.87/24.23 | | | | | | | | | |
% 159.87/24.23 | | | | | | | | | End of split
% 159.87/24.23 | | | | | | | | |
% 159.87/24.23 | | | | | | | | End of split
% 159.87/24.23 | | | | | | | |
% 159.87/24.23 | | | | | | | End of split
% 159.87/24.23 | | | | | | |
% 159.87/24.23 | | | | | | End of split
% 159.87/24.23 | | | | | |
% 159.87/24.24 | | | | | End of split
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | End of split
% 159.87/24.24 | | | |
% 159.87/24.24 | | | Case 2:
% 159.87/24.24 | | | |
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (124) with all_96_22, all_96_23, all_96_17,
% 159.87/24.24 | | | | simplifying with (106), (107), (1830) gives:
% 159.87/24.24 | | | | (1912) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.87/24.24 | | | | [v4: $i] : (a_select3(pminus_ds1_filter, all_96_22, all_96_23)
% 159.87/24.24 | | | | = v4 & leq(all_96_22, all_96_34) = v2 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = v3 & leq(n0, all_96_22) = v0 & leq(n0,
% 159.87/24.24 | | | | all_96_23) = v1 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~
% 159.87/24.24 | | | | (v1 = 0) | ~ (v0 = 0) | v4 = all_96_17))
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (123) with all_96_23, all_96_22, all_96_17,
% 159.87/24.24 | | | | simplifying with (106), (107), (1830) gives:
% 159.87/24.24 | | | | (1913) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.87/24.24 | | | | [v4: $i] : (a_select3(pminus_ds1_filter, all_96_22, all_96_23)
% 159.87/24.24 | | | | = v4 & leq(all_96_22, all_96_34) = v3 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = v2 & leq(n0, all_96_22) = v1 & leq(n0,
% 159.87/24.24 | | | | all_96_23) = v0 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~
% 159.87/24.24 | | | | (v1 = 0) | ~ (v0 = 0) | v4 = all_96_17))
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (124) with all_96_23, all_96_22, all_96_16,
% 159.87/24.24 | | | | simplifying with (106), (107), (1831) gives:
% 159.87/24.24 | | | | (1914) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.87/24.24 | | | | [v4: $i] : (a_select3(pminus_ds1_filter, all_96_23, all_96_22)
% 159.87/24.24 | | | | = v4 & leq(all_96_22, all_96_34) = v3 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = v2 & leq(n0, all_96_22) = v1 & leq(n0,
% 159.87/24.24 | | | | all_96_23) = v0 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~
% 159.87/24.24 | | | | (v1 = 0) | ~ (v0 = 0) | v4 = all_96_16))
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (123) with all_96_22, all_96_23, all_96_16,
% 159.87/24.24 | | | | simplifying with (106), (107), (1831) gives:
% 159.87/24.24 | | | | (1915) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 159.87/24.24 | | | | [v4: $i] : (a_select3(pminus_ds1_filter, all_96_23, all_96_22)
% 159.87/24.24 | | | | = v4 & leq(all_96_22, all_96_34) = v2 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = v3 & leq(n0, all_96_22) = v0 & leq(n0,
% 159.87/24.24 | | | | all_96_23) = v1 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~
% 159.87/24.24 | | | | (v1 = 0) | ~ (v0 = 0) | v4 = all_96_16))
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | DELTA: instantiating (1915) with fresh symbols all_945_0, all_945_1,
% 159.87/24.24 | | | | all_945_2, all_945_3, all_945_4 gives:
% 159.87/24.24 | | | | (1916) a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_945_0
% 159.87/24.24 | | | | & leq(all_96_22, all_96_34) = all_945_2 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = all_945_1 & leq(n0, all_96_22) = all_945_4 &
% 159.87/24.24 | | | | leq(n0, all_96_23) = all_945_3 & $i(all_945_0) & ( ~
% 159.87/24.24 | | | | (all_945_1 = 0) | ~ (all_945_2 = 0) | ~ (all_945_3 = 0) |
% 159.87/24.24 | | | | ~ (all_945_4 = 0) | all_945_0 = all_96_16)
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | ALPHA: (1916) implies:
% 159.87/24.24 | | | | (1917) leq(all_96_22, all_96_34) = all_945_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | DELTA: instantiating (1912) with fresh symbols all_947_0, all_947_1,
% 159.87/24.24 | | | | all_947_2, all_947_3, all_947_4 gives:
% 159.87/24.24 | | | | (1918) a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_947_0
% 159.87/24.24 | | | | & leq(all_96_22, all_96_34) = all_947_2 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = all_947_1 & leq(n0, all_96_22) = all_947_4 &
% 159.87/24.24 | | | | leq(n0, all_96_23) = all_947_3 & $i(all_947_0) & ( ~
% 159.87/24.24 | | | | (all_947_1 = 0) | ~ (all_947_2 = 0) | ~ (all_947_3 = 0) |
% 159.87/24.24 | | | | ~ (all_947_4 = 0) | all_947_0 = all_96_17)
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | ALPHA: (1918) implies:
% 159.87/24.24 | | | | (1919) leq(n0, all_96_23) = all_947_3
% 159.87/24.24 | | | | (1920) leq(n0, all_96_22) = all_947_4
% 159.87/24.24 | | | | (1921) leq(all_96_23, all_96_34) = all_947_1
% 159.87/24.24 | | | | (1922) leq(all_96_22, all_96_34) = all_947_2
% 159.87/24.24 | | | | (1923) a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_947_0
% 159.87/24.24 | | | | (1924) ~ (all_947_1 = 0) | ~ (all_947_2 = 0) | ~ (all_947_3 = 0) |
% 159.87/24.24 | | | | ~ (all_947_4 = 0) | all_947_0 = all_96_17
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | DELTA: instantiating (1914) with fresh symbols all_949_0, all_949_1,
% 159.87/24.24 | | | | all_949_2, all_949_3, all_949_4 gives:
% 159.87/24.24 | | | | (1925) a_select3(pminus_ds1_filter, all_96_23, all_96_22) = all_949_0
% 159.87/24.24 | | | | & leq(all_96_22, all_96_34) = all_949_1 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = all_949_2 & leq(n0, all_96_22) = all_949_3 &
% 159.87/24.24 | | | | leq(n0, all_96_23) = all_949_4 & $i(all_949_0) & ( ~
% 159.87/24.24 | | | | (all_949_1 = 0) | ~ (all_949_2 = 0) | ~ (all_949_3 = 0) |
% 159.87/24.24 | | | | ~ (all_949_4 = 0) | all_949_0 = all_96_16)
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | ALPHA: (1925) implies:
% 159.87/24.24 | | | | (1926) leq(all_96_22, all_96_34) = all_949_1
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | DELTA: instantiating (1913) with fresh symbols all_951_0, all_951_1,
% 159.87/24.24 | | | | all_951_2, all_951_3, all_951_4 gives:
% 159.87/24.24 | | | | (1927) a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_951_0
% 159.87/24.24 | | | | & leq(all_96_22, all_96_34) = all_951_1 & leq(all_96_23,
% 159.87/24.24 | | | | all_96_34) = all_951_2 & leq(n0, all_96_22) = all_951_3 &
% 159.87/24.24 | | | | leq(n0, all_96_23) = all_951_4 & $i(all_951_0) & ( ~
% 159.87/24.24 | | | | (all_951_1 = 0) | ~ (all_951_2 = 0) | ~ (all_951_3 = 0) |
% 159.87/24.24 | | | | ~ (all_951_4 = 0) | all_951_0 = all_96_17)
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | ALPHA: (1927) implies:
% 159.87/24.24 | | | | (1928) leq(all_96_22, all_96_34) = all_951_1
% 159.87/24.24 | | | | (1929) a_select3(pminus_ds1_filter, all_96_22, all_96_23) = all_951_0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | REDUCE: (791), (1928) imply:
% 159.87/24.24 | | | | (1930) leq(all_96_22, n5) = all_951_1
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | REDUCE: (791), (1926) imply:
% 159.87/24.24 | | | | (1931) leq(all_96_22, n5) = all_949_1
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | REDUCE: (791), (1922) imply:
% 159.87/24.24 | | | | (1932) leq(all_96_22, n5) = all_947_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | REDUCE: (791), (1917) imply:
% 159.87/24.24 | | | | (1933) leq(all_96_22, n5) = all_945_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | REDUCE: (791), (1921) imply:
% 159.87/24.24 | | | | (1934) leq(all_96_23, n5) = all_947_1
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with 0, all_947_3, all_96_23, n0,
% 159.87/24.24 | | | | simplifying with (1826), (1919) gives:
% 159.87/24.24 | | | | (1935) all_947_3 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with 0, all_947_4, all_96_22, n0,
% 159.87/24.24 | | | | simplifying with (1827), (1920) gives:
% 159.87/24.24 | | | | (1936) all_947_4 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with 0, all_947_1, n5, all_96_23,
% 159.87/24.24 | | | | simplifying with (1833), (1934) gives:
% 159.87/24.24 | | | | (1937) all_947_1 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with 0, all_949_1, n5, all_96_22,
% 159.87/24.24 | | | | simplifying with (1832), (1931) gives:
% 159.87/24.24 | | | | (1938) all_949_1 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with all_947_2, all_949_1, n5,
% 159.87/24.24 | | | | all_96_22, simplifying with (1931), (1932) gives:
% 159.87/24.24 | | | | (1939) all_949_1 = all_947_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with all_947_2, all_951_1, n5,
% 159.87/24.24 | | | | all_96_22, simplifying with (1930), (1932) gives:
% 159.87/24.24 | | | | (1940) all_951_1 = all_947_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (69) with all_945_2, all_951_1, n5,
% 159.87/24.24 | | | | all_96_22, simplifying with (1930), (1933) gives:
% 159.87/24.24 | | | | (1941) all_951_1 = all_945_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (71) with all_96_16, all_951_0, all_96_23,
% 159.87/24.24 | | | | all_96_22, pminus_ds1_filter, simplifying with (1831),
% 159.87/24.24 | | | | (1929) gives:
% 159.87/24.24 | | | | (1942) all_951_0 = all_96_16
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | GROUND_INST: instantiating (71) with all_947_0, all_951_0, all_96_23,
% 159.87/24.24 | | | | all_96_22, pminus_ds1_filter, simplifying with (1923),
% 159.87/24.24 | | | | (1929) gives:
% 159.87/24.24 | | | | (1943) all_951_0 = all_947_0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | COMBINE_EQS: (1942), (1943) imply:
% 159.87/24.24 | | | | (1944) all_947_0 = all_96_16
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | COMBINE_EQS: (1940), (1941) imply:
% 159.87/24.24 | | | | (1945) all_947_2 = all_945_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | SIMP: (1945) implies:
% 159.87/24.24 | | | | (1946) all_947_2 = all_945_2
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | COMBINE_EQS: (1938), (1939) imply:
% 159.87/24.24 | | | | (1947) all_947_2 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | SIMP: (1947) implies:
% 159.87/24.24 | | | | (1948) all_947_2 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | COMBINE_EQS: (1946), (1948) imply:
% 159.87/24.24 | | | | (1949) all_945_2 = 0
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | BETA: splitting (1924) gives:
% 159.87/24.24 | | | |
% 159.87/24.24 | | | | Case 1:
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | (1950) ~ (all_947_1 = 0)
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | REDUCE: (1937), (1950) imply:
% 159.87/24.24 | | | | | (1951) $false
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | CLOSE: (1951) is inconsistent.
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | Case 2:
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | (1952) ~ (all_947_2 = 0) | ~ (all_947_3 = 0) | ~ (all_947_4 = 0)
% 159.87/24.24 | | | | | | all_947_0 = all_96_17
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | BETA: splitting (1952) gives:
% 159.87/24.24 | | | | |
% 159.87/24.24 | | | | | Case 1:
% 159.87/24.24 | | | | | |
% 159.87/24.24 | | | | | | (1953) ~ (all_947_2 = 0)
% 159.87/24.24 | | | | | |
% 159.87/24.24 | | | | | | REDUCE: (1948), (1953) imply:
% 159.87/24.24 | | | | | | (1954) $false
% 159.87/24.24 | | | | | |
% 159.87/24.24 | | | | | | CLOSE: (1954) is inconsistent.
% 159.87/24.24 | | | | | |
% 159.87/24.25 | | | | | Case 2:
% 159.87/24.25 | | | | | |
% 159.87/24.25 | | | | | | (1955) ~ (all_947_3 = 0) | ~ (all_947_4 = 0) | all_947_0 =
% 159.87/24.25 | | | | | | all_96_17
% 159.87/24.25 | | | | | |
% 159.87/24.25 | | | | | | BETA: splitting (1955) gives:
% 159.87/24.25 | | | | | |
% 159.87/24.25 | | | | | | Case 1:
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | (1956) ~ (all_947_3 = 0)
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | REDUCE: (1935), (1956) imply:
% 159.87/24.25 | | | | | | | (1957) $false
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | CLOSE: (1957) is inconsistent.
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | Case 2:
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | (1958) ~ (all_947_4 = 0) | all_947_0 = all_96_17
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | BETA: splitting (1958) gives:
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | | Case 1:
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | (1959) ~ (all_947_4 = 0)
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | REDUCE: (1936), (1959) imply:
% 159.87/24.25 | | | | | | | | (1960) $false
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | CLOSE: (1960) is inconsistent.
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | Case 2:
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | (1961) all_947_0 = all_96_17
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | COMBINE_EQS: (1944), (1961) imply:
% 159.87/24.25 | | | | | | | | (1962) all_96_16 = all_96_17
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | REDUCE: (1825), (1962) imply:
% 159.87/24.25 | | | | | | | | (1963) $false
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | | CLOSE: (1963) is inconsistent.
% 159.87/24.25 | | | | | | | |
% 159.87/24.25 | | | | | | | End of split
% 159.87/24.25 | | | | | | |
% 159.87/24.25 | | | | | | End of split
% 159.87/24.25 | | | | | |
% 159.87/24.25 | | | | | End of split
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | End of split
% 159.87/24.25 | | | |
% 159.87/24.25 | | | End of split
% 159.87/24.25 | | |
% 159.87/24.25 | | Case 2:
% 159.87/24.25 | | |
% 159.87/24.25 | | | (1964) all_96_26 = 0 & all_96_27 = 0 & all_96_29 = 0 & all_96_30 = 0 &
% 159.87/24.25 | | | ~ (all_96_24 = all_96_25) & a_select3(id_ds1_filter, all_96_28,
% 159.87/24.25 | | | all_96_31) = all_96_24 & a_select3(id_ds1_filter, all_96_31,
% 159.87/24.25 | | | all_96_28) = all_96_25 & leq(all_96_28, all_96_34) = 0 &
% 159.87/24.25 | | | leq(all_96_31, all_96_32) = 0 & leq(n0, all_96_28) = 0 & leq(n0,
% 159.87/24.25 | | | all_96_31) = 0 & $i(all_96_24) & $i(all_96_25)
% 159.87/24.25 | | |
% 159.87/24.25 | | | ALPHA: (1964) implies:
% 159.87/24.25 | | | (1965) ~ (all_96_24 = all_96_25)
% 159.87/24.25 | | | (1966) leq(n0, all_96_31) = 0
% 159.87/24.25 | | | (1967) leq(n0, all_96_28) = 0
% 159.87/24.25 | | | (1968) leq(all_96_31, all_96_32) = 0
% 159.87/24.25 | | | (1969) leq(all_96_28, all_96_34) = 0
% 159.87/24.25 | | | (1970) a_select3(id_ds1_filter, all_96_31, all_96_28) = all_96_25
% 159.87/24.25 | | | (1971) a_select3(id_ds1_filter, all_96_28, all_96_31) = all_96_24
% 159.87/24.25 | | |
% 159.87/24.25 | | | REDUCE: (791), (1969) imply:
% 159.87/24.25 | | | (1972) leq(all_96_28, n5) = 0
% 159.87/24.25 | | |
% 159.87/24.25 | | | REDUCE: (779), (1968) imply:
% 159.87/24.25 | | | (1973) leq(all_96_31, tptp_minus_1) = 0
% 159.87/24.25 | | |
% 159.87/24.25 | | | BETA: splitting (223) gives:
% 159.87/24.25 | | |
% 159.87/24.25 | | | Case 1:
% 159.87/24.25 | | | |
% 159.87/24.25 | | | | (1974) gt(pv5, n0) = 0
% 159.87/24.25 | | | |
% 159.87/24.25 | | | | BETA: splitting (222) gives:
% 159.87/24.25 | | | |
% 159.87/24.25 | | | | Case 1:
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | (1975) pv5 = n0
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | REDUCE: (1974), (1975) imply:
% 159.87/24.25 | | | | | (1976) gt(n0, n0) = 0
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (irreflexivity_gt) with n0, simplifying
% 159.87/24.25 | | | | | with (62), (1976) gives:
% 159.87/24.25 | | | | | (1977) $false
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | CLOSE: (1977) is inconsistent.
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | Case 2:
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | (1978) ? [v0: int] : ( ~ (v0 = 0) & leq(pv5, n0) = v0)
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | DELTA: instantiating (1978) with fresh symbol all_643_0 gives:
% 159.87/24.25 | | | | | (1979) ~ (all_643_0 = 0) & leq(pv5, n0) = all_643_0
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | ALPHA: (1979) implies:
% 159.87/24.25 | | | | | (1980) ~ (all_643_0 = 0)
% 159.87/24.25 | | | | | (1981) leq(pv5, n0) = all_643_0
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (53) with all_96_31, simplifying with
% 159.87/24.25 | | | | | (104), (1966) gives:
% 159.87/24.25 | | | | | (1982) all_96_31 = n0 | ? [v0: int] : ( ~ (v0 = 0) &
% 159.87/24.25 | | | | | leq(all_96_31, n0) = v0)
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with n0, all_96_31, simplifying with
% 159.87/24.25 | | | | | (62), (104), (1966) gives:
% 159.87/24.25 | | | | | (1983) ? [v0: $i] : ? [v1: $i] : (succ(all_96_31) = v1 & succ(n0)
% 159.87/24.25 | | | | | = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (6) with n0, all_96_31, simplifying with
% 159.87/24.25 | | | | | (62), (104), (1966) gives:
% 159.87/24.25 | | | | | (1984) ? [v0: $i] : (succ(all_96_31) = v0 & leq(n0, v0) = 0 &
% 159.87/24.25 | | | | | $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (7) with n0, all_96_31, simplifying with
% 159.87/24.25 | | | | | (62), (104), (1966) gives:
% 159.87/24.25 | | | | | (1985) ? [v0: $i] : (succ(all_96_31) = v0 & gt(v0, n0) = 0 &
% 159.87/24.25 | | | | | $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (53) with all_96_28, simplifying with
% 159.87/24.25 | | | | | (105), (1967) gives:
% 159.87/24.25 | | | | | (1986) all_96_28 = n0 | ? [v0: int] : ( ~ (v0 = 0) &
% 159.87/24.25 | | | | | leq(all_96_28, n0) = v0)
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with n0, all_96_28, simplifying with
% 159.87/24.25 | | | | | (62), (105), (1967) gives:
% 159.87/24.25 | | | | | (1987) ? [v0: $i] : ? [v1: $i] : (succ(all_96_28) = v1 & succ(n0)
% 159.87/24.25 | | | | | = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with n0, all_129_0, simplifying with
% 159.87/24.25 | | | | | (62), (1652), (1655) gives:
% 159.87/24.25 | | | | | (1988) ? [v0: $i] : ? [v1: $i] : (succ(all_129_0) = v1 & succ(n0)
% 159.87/24.25 | | | | | = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with n0, all_343_0, simplifying with
% 159.87/24.25 | | | | | (62), (1651), (1657) gives:
% 159.87/24.25 | | | | | (1989) ? [v0: $i] : ? [v1: $i] : (succ(all_343_0) = v1 & succ(n0)
% 159.87/24.25 | | | | | = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with n0, all_347_0, simplifying with
% 159.87/24.25 | | | | | (62), (1121), (1654) gives:
% 159.87/24.25 | | | | | (1990) ? [v0: $i] : ? [v1: $i] : (succ(all_347_0) = v1 & succ(n0)
% 159.87/24.25 | | | | | = v0 & leq(v0, v1) = 0 & $i(v1) & $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with tptp_minus_1, all_129_0,
% 159.87/24.25 | | | | | simplifying with (36), (1649), (1655) gives:
% 159.87/24.25 | | | | | (1991) ? [v0: $i] : ? [v1: $i] : (succ(all_129_0) = v1 &
% 159.87/24.25 | | | | | succ(tptp_minus_1) = v0 & leq(v0, v1) = 0 & $i(v1) &
% 159.87/24.25 | | | | | $i(v0))
% 159.87/24.25 | | | | |
% 159.87/24.25 | | | | | GROUND_INST: instantiating (21) with tptp_minus_1, all_343_0,
% 159.87/24.25 | | | | | simplifying with (36), (1650), (1657) gives:
% 160.04/24.25 | | | | | (1992) ? [v0: $i] : ? [v1: $i] : (succ(all_343_0) = v1 &
% 160.04/24.25 | | | | | succ(tptp_minus_1) = v0 & leq(v0, v1) = 0 & $i(v1) &
% 160.04/24.25 | | | | | $i(v0))
% 160.04/24.25 | | | | |
% 160.04/24.25 | | | | | GROUND_INST: instantiating (21) with tptp_minus_1, all_415_0,
% 160.04/24.25 | | | | | simplifying with (36), (1182), (1183) gives:
% 160.04/24.25 | | | | | (1993) ? [v0: $i] : ? [v1: $i] : (succ(all_415_0) = v1 &
% 160.04/24.25 | | | | | succ(tptp_minus_1) = v0 & leq(v0, v1) = 0 & $i(v1) &
% 160.04/24.25 | | | | | $i(v0))
% 160.04/24.25 | | | | |
% 160.04/24.25 | | | | | GROUND_INST: instantiating (22) with pv5, n0, all_643_0, simplifying
% 160.04/24.25 | | | | | with (62), (63), (1981) gives:
% 160.04/24.26 | | | | | (1994) all_643_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : (
% 160.04/24.26 | | | | | ~ (v2 = 0) & succ(pv5) = v0 & succ(n0) = v1 & leq(v0, v1)
% 160.04/24.26 | | | | | = v2 & $i(v1) & $i(v0))
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (8) with pv5, n0, all_643_0, simplifying
% 160.04/24.26 | | | | | with (62), (63), (1981) gives:
% 160.04/24.26 | | | | | (1995) all_643_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 160.04/24.26 | | | | | succ(n0) = v0 & gt(v0, pv5) = v1 & $i(v0))
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (1) with all_96_31, tptp_minus_1, n0,
% 160.04/24.26 | | | | | simplifying with (36), (62), (104), (860), (1973) gives:
% 160.04/24.26 | | | | | (1996) leq(all_96_31, n0) = 0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (21) with all_96_31, tptp_minus_1,
% 160.04/24.26 | | | | | simplifying with (36), (104), (1973) gives:
% 160.04/24.26 | | | | | (1997) ? [v0: $i] : ? [v1: $i] : (succ(all_96_31) = v0 &
% 160.04/24.26 | | | | | succ(tptp_minus_1) = v1 & leq(v0, v1) = 0 & $i(v1) &
% 160.04/24.26 | | | | | $i(v0))
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (6) with all_96_31, tptp_minus_1,
% 160.04/24.26 | | | | | simplifying with (36), (104), (1973) gives:
% 160.04/24.26 | | | | | (1998) ? [v0: $i] : (succ(tptp_minus_1) = v0 & leq(all_96_31, v0)
% 160.04/24.26 | | | | | = 0 & $i(v0))
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (7) with all_96_31, tptp_minus_1,
% 160.04/24.26 | | | | | simplifying with (36), (104), (1973) gives:
% 160.04/24.26 | | | | | (1999) ? [v0: $i] : (succ(tptp_minus_1) = v0 & gt(v0, all_96_31) =
% 160.04/24.26 | | | | | 0 & $i(v0))
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | GROUND_INST: instantiating (52) with all_96_28, simplifying with
% 160.04/24.26 | | | | | (105), (1972) gives:
% 160.04/24.26 | | | | | (2000) all_96_28 = n5 | all_96_28 = n4 | all_96_28 = n3 | all_96_28
% 160.04/24.26 | | | | | = n2 | all_96_28 = n1 | all_96_28 = n0 | ? [v0: int] : ( ~
% 160.04/24.26 | | | | | (v0 = 0) & leq(n0, all_96_28) = v0)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1984) with fresh symbol all_709_0 gives:
% 160.04/24.26 | | | | | (2001) succ(all_96_31) = all_709_0 & leq(n0, all_709_0) = 0 &
% 160.04/24.26 | | | | | $i(all_709_0)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2001) implies:
% 160.04/24.26 | | | | | (2002) succ(all_96_31) = all_709_0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1985) with fresh symbol all_717_0 gives:
% 160.04/24.26 | | | | | (2003) succ(all_96_31) = all_717_0 & gt(all_717_0, n0) = 0 &
% 160.04/24.26 | | | | | $i(all_717_0)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2003) implies:
% 160.04/24.26 | | | | | (2004) succ(all_96_31) = all_717_0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1998) with fresh symbol all_887_0 gives:
% 160.04/24.26 | | | | | (2005) succ(tptp_minus_1) = all_887_0 & leq(all_96_31, all_887_0) =
% 160.04/24.26 | | | | | 0 & $i(all_887_0)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2005) implies:
% 160.04/24.26 | | | | | (2006) succ(tptp_minus_1) = all_887_0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1999) with fresh symbol all_889_0 gives:
% 160.04/24.26 | | | | | (2007) succ(tptp_minus_1) = all_889_0 & gt(all_889_0, all_96_31) =
% 160.04/24.26 | | | | | 0 & $i(all_889_0)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2007) implies:
% 160.04/24.26 | | | | | (2008) succ(tptp_minus_1) = all_889_0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1987) with fresh symbols all_925_0, all_925_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2009) succ(all_96_28) = all_925_0 & succ(n0) = all_925_1 &
% 160.04/24.26 | | | | | leq(all_925_1, all_925_0) = 0 & $i(all_925_0) &
% 160.04/24.26 | | | | | $i(all_925_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2009) implies:
% 160.04/24.26 | | | | | (2010) succ(n0) = all_925_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1990) with fresh symbols all_929_0, all_929_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2011) succ(all_347_0) = all_929_0 & succ(n0) = all_929_1 &
% 160.04/24.26 | | | | | leq(all_929_1, all_929_0) = 0 & $i(all_929_0) &
% 160.04/24.26 | | | | | $i(all_929_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2011) implies:
% 160.04/24.26 | | | | | (2012) succ(n0) = all_929_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1983) with fresh symbols all_933_0, all_933_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2013) succ(all_96_31) = all_933_0 & succ(n0) = all_933_1 &
% 160.04/24.26 | | | | | leq(all_933_1, all_933_0) = 0 & $i(all_933_0) &
% 160.04/24.26 | | | | | $i(all_933_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2013) implies:
% 160.04/24.26 | | | | | (2014) succ(n0) = all_933_1
% 160.04/24.26 | | | | | (2015) succ(all_96_31) = all_933_0
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1989) with fresh symbols all_949_0, all_949_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2016) succ(all_343_0) = all_949_0 & succ(n0) = all_949_1 &
% 160.04/24.26 | | | | | leq(all_949_1, all_949_0) = 0 & $i(all_949_0) &
% 160.04/24.26 | | | | | $i(all_949_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2016) implies:
% 160.04/24.26 | | | | | (2017) succ(n0) = all_949_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1988) with fresh symbols all_961_0, all_961_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2018) succ(all_129_0) = all_961_0 & succ(n0) = all_961_1 &
% 160.04/24.26 | | | | | leq(all_961_1, all_961_0) = 0 & $i(all_961_0) &
% 160.04/24.26 | | | | | $i(all_961_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2018) implies:
% 160.04/24.26 | | | | | (2019) succ(n0) = all_961_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1992) with fresh symbols all_979_0, all_979_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2020) succ(all_343_0) = all_979_0 & succ(tptp_minus_1) = all_979_1
% 160.04/24.26 | | | | | & leq(all_979_1, all_979_0) = 0 & $i(all_979_0) &
% 160.04/24.26 | | | | | $i(all_979_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2020) implies:
% 160.04/24.26 | | | | | (2021) succ(tptp_minus_1) = all_979_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1993) with fresh symbols all_985_0, all_985_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2022) succ(all_415_0) = all_985_0 & succ(tptp_minus_1) = all_985_1
% 160.04/24.26 | | | | | & leq(all_985_1, all_985_0) = 0 & $i(all_985_0) &
% 160.04/24.26 | | | | | $i(all_985_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2022) implies:
% 160.04/24.26 | | | | | (2023) succ(tptp_minus_1) = all_985_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1991) with fresh symbols all_1007_0, all_1007_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2024) succ(all_129_0) = all_1007_0 & succ(tptp_minus_1) =
% 160.04/24.26 | | | | | all_1007_1 & leq(all_1007_1, all_1007_0) = 0 &
% 160.04/24.26 | | | | | $i(all_1007_0) & $i(all_1007_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2024) implies:
% 160.04/24.26 | | | | | (2025) succ(tptp_minus_1) = all_1007_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | DELTA: instantiating (1997) with fresh symbols all_1009_0, all_1009_1
% 160.04/24.26 | | | | | gives:
% 160.04/24.26 | | | | | (2026) succ(all_96_31) = all_1009_1 & succ(tptp_minus_1) =
% 160.04/24.26 | | | | | all_1009_0 & leq(all_1009_1, all_1009_0) = 0 &
% 160.04/24.26 | | | | | $i(all_1009_0) & $i(all_1009_1)
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | ALPHA: (2026) implies:
% 160.04/24.26 | | | | | (2027) succ(tptp_minus_1) = all_1009_0
% 160.04/24.26 | | | | | (2028) succ(all_96_31) = all_1009_1
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | BETA: splitting (1982) gives:
% 160.04/24.26 | | | | |
% 160.04/24.26 | | | | | Case 1:
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | (2029) all_96_31 = n0
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (1971), (2029) imply:
% 160.04/24.26 | | | | | | (2030) a_select3(id_ds1_filter, all_96_28, n0) = all_96_24
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (1970), (2029) imply:
% 160.04/24.26 | | | | | | (2031) a_select3(id_ds1_filter, n0, all_96_28) = all_96_25
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (2028), (2029) imply:
% 160.04/24.26 | | | | | | (2032) succ(n0) = all_1009_1
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (2015), (2029) imply:
% 160.04/24.26 | | | | | | (2033) succ(n0) = all_933_0
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (2004), (2029) imply:
% 160.04/24.26 | | | | | | (2034) succ(n0) = all_717_0
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (2002), (2029) imply:
% 160.04/24.26 | | | | | | (2035) succ(n0) = all_709_0
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | REDUCE: (1973), (2029) imply:
% 160.04/24.26 | | | | | | (2036) leq(n0, tptp_minus_1) = 0
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | BETA: splitting (1995) gives:
% 160.04/24.26 | | | | | |
% 160.04/24.26 | | | | | | Case 1:
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | (2037) all_643_0 = 0
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | REDUCE: (1980), (2037) imply:
% 160.04/24.26 | | | | | | | (2038) $false
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | CLOSE: (2038) is inconsistent.
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | Case 2:
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | (2039) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & succ(n0) =
% 160.04/24.26 | | | | | | | v0 & gt(v0, pv5) = v1 & $i(v0))
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | DELTA: instantiating (2039) with fresh symbols all_1132_0,
% 160.04/24.26 | | | | | | | all_1132_1 gives:
% 160.04/24.26 | | | | | | | (2040) ~ (all_1132_0 = 0) & succ(n0) = all_1132_1 &
% 160.04/24.26 | | | | | | | gt(all_1132_1, pv5) = all_1132_0 & $i(all_1132_1)
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | ALPHA: (2040) implies:
% 160.04/24.26 | | | | | | | (2041) succ(n0) = all_1132_1
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | BETA: splitting (1994) gives:
% 160.04/24.26 | | | | | | |
% 160.04/24.26 | | | | | | | Case 1:
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | (2042) all_643_0 = 0
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | REDUCE: (1980), (2042) imply:
% 160.04/24.26 | | | | | | | | (2043) $false
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | CLOSE: (2043) is inconsistent.
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | Case 2:
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | (2044) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 =
% 160.04/24.26 | | | | | | | | 0) & succ(pv5) = v0 & succ(n0) = v1 & leq(v0, v1)
% 160.04/24.26 | | | | | | | | = v2 & $i(v1) & $i(v0))
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | DELTA: instantiating (2044) with fresh symbols all_1142_0,
% 160.04/24.26 | | | | | | | | all_1142_1, all_1142_2 gives:
% 160.04/24.26 | | | | | | | | (2045) ~ (all_1142_0 = 0) & succ(pv5) = all_1142_2 &
% 160.04/24.26 | | | | | | | | succ(n0) = all_1142_1 & leq(all_1142_2, all_1142_1) =
% 160.04/24.26 | | | | | | | | all_1142_0 & $i(all_1142_1) & $i(all_1142_2)
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | ALPHA: (2045) implies:
% 160.04/24.26 | | | | | | | | (2046) succ(n0) = all_1142_1
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | BETA: splitting (1027) gives:
% 160.04/24.26 | | | | | | | |
% 160.04/24.26 | | | | | | | | Case 1:
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | (2047) tptp_minus_1 = n0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (1011), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2048) plus(n5, n0) = n4
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (999), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2049) plus(n4, n0) = n3
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (950), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2050) plus(n3, n0) = n2
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (816), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2051) plus(n2, n0) = n1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2027), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2052) succ(n0) = all_1009_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2025), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2053) succ(n0) = all_1007_1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2023), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2054) succ(n0) = all_985_1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2021), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2055) succ(n0) = all_979_1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2008), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2056) succ(n0) = all_889_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (2006), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2057) succ(n0) = all_887_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | REDUCE: (9), (2047) imply:
% 160.04/24.26 | | | | | | | | | (2058) succ(n0) = n0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with all_709_0, all_717_0, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2034), (2035) gives:
% 160.04/24.26 | | | | | | | | | (2059) all_717_0 = all_709_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with all_709_0, all_887_0, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2035), (2057) gives:
% 160.04/24.26 | | | | | | | | | (2060) all_887_0 = all_709_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with n1, all_925_1, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (59), (2010) gives:
% 160.04/24.26 | | | | | | | | | (2061) all_925_1 = n1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with all_887_0, all_925_1, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2010), (2057) gives:
% 160.04/24.26 | | | | | | | | | (2062) all_925_1 = all_887_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with all_929_1, all_933_1, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2012), (2014) gives:
% 160.04/24.26 | | | | | | | | | (2063) all_933_1 = all_929_1
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with all_717_0, all_933_1, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2014), (2034) gives:
% 160.04/24.26 | | | | | | | | | (2064) all_933_1 = all_717_0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.26 | | | | | | | | | GROUND_INST: instantiating (68) with n0, all_933_1, n0,
% 160.04/24.26 | | | | | | | | | simplifying with (2014), (2058) gives:
% 160.04/24.26 | | | | | | | | | (2065) all_933_1 = n0
% 160.04/24.26 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_933_1, all_949_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2014), (2017) gives:
% 160.04/24.27 | | | | | | | | | (2066) all_949_1 = all_933_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_889_0, all_949_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2017), (2056) gives:
% 160.04/24.27 | | | | | | | | | (2067) all_949_1 = all_889_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_949_1, all_961_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2017), (2019) gives:
% 160.04/24.27 | | | | | | | | | (2068) all_961_1 = all_949_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_961_1, all_979_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2019), (2055) gives:
% 160.04/24.27 | | | | | | | | | (2069) all_979_1 = all_961_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_979_1, all_985_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2054), (2055) gives:
% 160.04/24.27 | | | | | | | | | (2070) all_985_1 = all_979_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_985_1, all_1007_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2053), (2054) gives:
% 160.04/24.27 | | | | | | | | | (2071) all_1007_1 = all_985_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_1007_1, all_1009_1,
% 160.04/24.27 | | | | | | | | | n0, simplifying with (2032), (2053) gives:
% 160.04/24.27 | | | | | | | | | (2072) all_1009_1 = all_1007_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_1009_1, all_1009_0,
% 160.04/24.27 | | | | | | | | | n0, simplifying with (2032), (2052) gives:
% 160.04/24.27 | | | | | | | | | (2073) all_1009_0 = all_1009_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_1009_0, all_1132_1,
% 160.04/24.27 | | | | | | | | | n0, simplifying with (2041), (2052) gives:
% 160.04/24.27 | | | | | | | | | (2074) all_1132_1 = all_1009_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_1132_1, all_1142_1,
% 160.04/24.27 | | | | | | | | | n0, simplifying with (2041), (2046) gives:
% 160.04/24.27 | | | | | | | | | (2075) all_1142_1 = all_1132_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (68) with all_933_0, all_1142_1, n0,
% 160.04/24.27 | | | | | | | | | simplifying with (2033), (2046) gives:
% 160.04/24.27 | | | | | | | | | (2076) all_1142_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (70) with n2, n1, n0, n2,
% 160.04/24.27 | | | | | | | | | simplifying with (817), (2051) gives:
% 160.04/24.27 | | | | | | | | | (2077) n2 = n1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (70) with n3, n2, n0, n3,
% 160.04/24.27 | | | | | | | | | simplifying with (951), (2050) gives:
% 160.04/24.27 | | | | | | | | | (2078) n3 = n2
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (70) with n4, n3, n0, n4,
% 160.04/24.27 | | | | | | | | | simplifying with (1000), (2049) gives:
% 160.04/24.27 | | | | | | | | | (2079) n4 = n3
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (70) with n5, n4, n0, n5,
% 160.04/24.27 | | | | | | | | | simplifying with (1012), (2048) gives:
% 160.04/24.27 | | | | | | | | | (2080) n5 = n4
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2075), (2076) imply:
% 160.04/24.27 | | | | | | | | | (2081) all_1132_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2081) implies:
% 160.04/24.27 | | | | | | | | | (2082) all_1132_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2074), (2082) imply:
% 160.04/24.27 | | | | | | | | | (2083) all_1009_0 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2083) implies:
% 160.04/24.27 | | | | | | | | | (2084) all_1009_0 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2073), (2084) imply:
% 160.04/24.27 | | | | | | | | | (2085) all_1009_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2085) implies:
% 160.04/24.27 | | | | | | | | | (2086) all_1009_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2072), (2086) imply:
% 160.04/24.27 | | | | | | | | | (2087) all_1007_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2087) implies:
% 160.04/24.27 | | | | | | | | | (2088) all_1007_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2071), (2088) imply:
% 160.04/24.27 | | | | | | | | | (2089) all_985_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2089) implies:
% 160.04/24.27 | | | | | | | | | (2090) all_985_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2070), (2090) imply:
% 160.04/24.27 | | | | | | | | | (2091) all_979_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2091) implies:
% 160.04/24.27 | | | | | | | | | (2092) all_979_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2069), (2092) imply:
% 160.04/24.27 | | | | | | | | | (2093) all_961_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2093) implies:
% 160.04/24.27 | | | | | | | | | (2094) all_961_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2068), (2094) imply:
% 160.04/24.27 | | | | | | | | | (2095) all_949_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2095) implies:
% 160.04/24.27 | | | | | | | | | (2096) all_949_1 = all_933_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2066), (2096) imply:
% 160.04/24.27 | | | | | | | | | (2097) all_933_0 = all_933_1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2067), (2096) imply:
% 160.04/24.27 | | | | | | | | | (2098) all_933_0 = all_889_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2097), (2098) imply:
% 160.04/24.27 | | | | | | | | | (2099) all_933_1 = all_889_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2099) implies:
% 160.04/24.27 | | | | | | | | | (2100) all_933_1 = all_889_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2063), (2064) imply:
% 160.04/24.27 | | | | | | | | | (2101) all_929_1 = all_717_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2063), (2065) imply:
% 160.04/24.27 | | | | | | | | | (2102) all_929_1 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2063), (2100) imply:
% 160.04/24.27 | | | | | | | | | (2103) all_929_1 = all_889_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2101), (2103) imply:
% 160.04/24.27 | | | | | | | | | (2104) all_889_0 = all_717_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2102), (2103) imply:
% 160.04/24.27 | | | | | | | | | (2105) all_889_0 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2061), (2062) imply:
% 160.04/24.27 | | | | | | | | | (2106) all_887_0 = n1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2106) implies:
% 160.04/24.27 | | | | | | | | | (2107) all_887_0 = n1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2104), (2105) imply:
% 160.04/24.27 | | | | | | | | | (2108) all_717_0 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2108) implies:
% 160.04/24.27 | | | | | | | | | (2109) all_717_0 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2060), (2107) imply:
% 160.04/24.27 | | | | | | | | | (2110) all_709_0 = n1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2110) implies:
% 160.04/24.27 | | | | | | | | | (2111) all_709_0 = n1
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2059), (2109) imply:
% 160.04/24.27 | | | | | | | | | (2112) all_709_0 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2112) implies:
% 160.04/24.27 | | | | | | | | | (2113) all_709_0 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2111), (2113) imply:
% 160.04/24.27 | | | | | | | | | (2114) n1 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | SIMP: (2114) implies:
% 160.04/24.27 | | | | | | | | | (2115) n1 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2077), (2115) imply:
% 160.04/24.27 | | | | | | | | | (2116) n2 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2078), (2116) imply:
% 160.04/24.27 | | | | | | | | | (2117) n3 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2079), (2117) imply:
% 160.04/24.27 | | | | | | | | | (2118) n4 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | COMBINE_EQS: (2080), (2118) imply:
% 160.04/24.27 | | | | | | | | | (2119) n5 = n0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | REDUCE: (1972), (2119) imply:
% 160.04/24.27 | | | | | | | | | (2120) leq(all_96_28, n0) = 0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | BETA: splitting (2000) gives:
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | Case 1:
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | (2121) all_96_28 = n0
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | REDUCE: (2030), (2121) imply:
% 160.04/24.27 | | | | | | | | | | (2122) a_select3(id_ds1_filter, n0, n0) = all_96_24
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | REDUCE: (2031), (2121) imply:
% 160.04/24.27 | | | | | | | | | | (2123) a_select3(id_ds1_filter, n0, n0) = all_96_25
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | GROUND_INST: instantiating (71) with all_96_25, all_96_24, n0,
% 160.04/24.27 | | | | | | | | | | n0, id_ds1_filter, simplifying with (2122), (2123)
% 160.04/24.27 | | | | | | | | | | gives:
% 160.04/24.27 | | | | | | | | | | (2124) all_96_24 = all_96_25
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | REDUCE: (1965), (2124) imply:
% 160.04/24.27 | | | | | | | | | | (2125) $false
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | Case 2:
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | (2126) ~ (all_96_28 = n0)
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | BETA: splitting (1986) gives:
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | Case 1:
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | (2127) all_96_28 = n0
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | REDUCE: (2126), (2127) imply:
% 160.04/24.27 | | | | | | | | | | | (2128) $false
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | CLOSE: (2128) is inconsistent.
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | Case 2:
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | (2129) ? [v0: int] : ( ~ (v0 = 0) & leq(all_96_28, n0) =
% 160.04/24.27 | | | | | | | | | | | v0)
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | DELTA: instantiating (2129) with fresh symbol all_1196_0
% 160.04/24.27 | | | | | | | | | | | gives:
% 160.04/24.27 | | | | | | | | | | | (2130) ~ (all_1196_0 = 0) & leq(all_96_28, n0) =
% 160.04/24.27 | | | | | | | | | | | all_1196_0
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | ALPHA: (2130) implies:
% 160.04/24.27 | | | | | | | | | | | (2131) ~ (all_1196_0 = 0)
% 160.04/24.27 | | | | | | | | | | | (2132) leq(all_96_28, n0) = all_1196_0
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | GROUND_INST: instantiating (69) with 0, all_1196_0, n0,
% 160.04/24.27 | | | | | | | | | | | all_96_28, simplifying with (2120), (2132) gives:
% 160.04/24.27 | | | | | | | | | | | (2133) all_1196_0 = 0
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | REDUCE: (2131), (2133) imply:
% 160.04/24.27 | | | | | | | | | | | (2134) $false
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | | CLOSE: (2134) is inconsistent.
% 160.04/24.27 | | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | | End of split
% 160.04/24.27 | | | | | | | | | |
% 160.04/24.27 | | | | | | | | | End of split
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | Case 2:
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | (2135) ? [v0: int] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1)
% 160.04/24.27 | | | | | | | | | = v0)
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | DELTA: instantiating (2135) with fresh symbol all_1168_0
% 160.04/24.27 | | | | | | | | | gives:
% 160.04/24.27 | | | | | | | | | (2136) ~ (all_1168_0 = 0) & leq(n0, tptp_minus_1) =
% 160.04/24.27 | | | | | | | | | all_1168_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | ALPHA: (2136) implies:
% 160.04/24.27 | | | | | | | | | (2137) ~ (all_1168_0 = 0)
% 160.04/24.27 | | | | | | | | | (2138) leq(n0, tptp_minus_1) = all_1168_0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | GROUND_INST: instantiating (69) with 0, all_1168_0,
% 160.04/24.27 | | | | | | | | | tptp_minus_1, n0, simplifying with (2036), (2138)
% 160.04/24.27 | | | | | | | | | gives:
% 160.04/24.27 | | | | | | | | | (2139) all_1168_0 = 0
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | REDUCE: (2137), (2139) imply:
% 160.04/24.27 | | | | | | | | | (2140) $false
% 160.04/24.27 | | | | | | | | |
% 160.04/24.27 | | | | | | | | | CLOSE: (2140) is inconsistent.
% 160.04/24.27 | | | | | | | | |
% 160.04/24.28 | | | | | | | | End of split
% 160.04/24.28 | | | | | | | |
% 160.04/24.28 | | | | | | | End of split
% 160.04/24.28 | | | | | | |
% 160.04/24.28 | | | | | | End of split
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | Case 2:
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | (2141) ? [v0: int] : ( ~ (v0 = 0) & leq(all_96_31, n0) = v0)
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | DELTA: instantiating (2141) with fresh symbol all_1119_0 gives:
% 160.04/24.28 | | | | | | (2142) ~ (all_1119_0 = 0) & leq(all_96_31, n0) = all_1119_0
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | ALPHA: (2142) implies:
% 160.04/24.28 | | | | | | (2143) ~ (all_1119_0 = 0)
% 160.04/24.28 | | | | | | (2144) leq(all_96_31, n0) = all_1119_0
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | GROUND_INST: instantiating (69) with 0, all_1119_0, n0, all_96_31,
% 160.04/24.28 | | | | | | simplifying with (1996), (2144) gives:
% 160.04/24.28 | | | | | | (2145) all_1119_0 = 0
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | REDUCE: (2143), (2145) imply:
% 160.04/24.28 | | | | | | (2146) $false
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | | CLOSE: (2146) is inconsistent.
% 160.04/24.28 | | | | | |
% 160.04/24.28 | | | | | End of split
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | End of split
% 160.04/24.28 | | | |
% 160.04/24.28 | | | Case 2:
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | (2147) pv5 = n0
% 160.04/24.28 | | | | (2148) ~ (gt(pv5, n0) = 0)
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | REDUCE: (1184), (2147) imply:
% 160.04/24.28 | | | | (2149) pred(n0) = all_415_0
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | REDUCE: (2147), (2148) imply:
% 160.04/24.28 | | | | (2150) ~ (gt(n0, n0) = 0)
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | GROUND_INST: instantiating (67) with tptp_minus_1, all_415_0, n0,
% 160.04/24.28 | | | | simplifying with (241), (2149) gives:
% 160.04/24.28 | | | | (2151) all_415_0 = tptp_minus_1
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | GROUND_INST: instantiating (53) with all_96_31, simplifying with (104),
% 160.04/24.28 | | | | (1966) gives:
% 160.04/24.28 | | | | (2152) all_96_31 = n0 | ? [v0: int] : ( ~ (v0 = 0) & leq(all_96_31,
% 160.04/24.28 | | | | n0) = v0)
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | GROUND_INST: instantiating (1) with all_96_31, tptp_minus_1, n0,
% 160.04/24.28 | | | | simplifying with (36), (62), (104), (860), (1973) gives:
% 160.04/24.28 | | | | (2153) leq(all_96_31, n0) = 0
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | GROUND_INST: instantiating (5) with all_96_31, n0, tptp_minus_1,
% 160.04/24.28 | | | | simplifying with (62), (104), (241), (1973) gives:
% 160.04/24.28 | | | | (2154) gt(n0, all_96_31) = 0
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | BETA: splitting (2152) gives:
% 160.04/24.28 | | | |
% 160.04/24.28 | | | | Case 1:
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | (2155) all_96_31 = n0
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | REDUCE: (2154), (2155) imply:
% 160.04/24.28 | | | | | (2156) gt(n0, n0) = 0
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | PRED_UNIFY: (2150), (2156) imply:
% 160.04/24.28 | | | | | (2157) $false
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | CLOSE: (2157) is inconsistent.
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | Case 2:
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | (2158) ? [v0: int] : ( ~ (v0 = 0) & leq(all_96_31, n0) = v0)
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | DELTA: instantiating (2158) with fresh symbol all_949_0 gives:
% 160.04/24.28 | | | | | (2159) ~ (all_949_0 = 0) & leq(all_96_31, n0) = all_949_0
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | ALPHA: (2159) implies:
% 160.04/24.28 | | | | | (2160) ~ (all_949_0 = 0)
% 160.04/24.28 | | | | | (2161) leq(all_96_31, n0) = all_949_0
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | GROUND_INST: instantiating (69) with 0, all_949_0, n0, all_96_31,
% 160.04/24.28 | | | | | simplifying with (2153), (2161) gives:
% 160.04/24.28 | | | | | (2162) all_949_0 = 0
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | REDUCE: (2160), (2162) imply:
% 160.04/24.28 | | | | | (2163) $false
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | | CLOSE: (2163) is inconsistent.
% 160.04/24.28 | | | | |
% 160.04/24.28 | | | | End of split
% 160.04/24.28 | | | |
% 160.04/24.28 | | | End of split
% 160.04/24.28 | | |
% 160.04/24.28 | | End of split
% 160.04/24.28 | |
% 160.04/24.28 | End of split
% 160.04/24.28 |
% 160.04/24.28 End of proof
% 160.04/24.28 % SZS output end Proof for theBenchmark
% 160.04/24.28
% 160.04/24.28 23693ms
%------------------------------------------------------------------------------