TSTP Solution File: SWC009+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWC009+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:49:09 EDT 2023
% Result : Theorem 53.25s 7.52s
% Output : Proof 106.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC009+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 16:43:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.66/0.63 ________ _____
% 0.66/0.63 ___ __ \_________(_)________________________________
% 0.66/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.66/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.66/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.66/0.63
% 0.66/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.66/0.63 (2023-06-19)
% 0.66/0.63
% 0.66/0.63 (c) Philipp Rümmer, 2009-2023
% 0.66/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.66/0.63 Amanda Stjerna.
% 0.66/0.63 Free software under BSD-3-Clause.
% 0.66/0.63
% 0.66/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.66/0.63
% 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.64 Running up to 7 provers in parallel.
% 0.66/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.66/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.66/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.66/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.66/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.66/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.66/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.43/1.54 Prover 4: Preprocessing ...
% 6.43/1.55 Prover 1: Preprocessing ...
% 6.43/1.58 Prover 2: Preprocessing ...
% 6.43/1.58 Prover 0: Preprocessing ...
% 6.43/1.58 Prover 3: Preprocessing ...
% 6.43/1.58 Prover 5: Preprocessing ...
% 6.43/1.58 Prover 6: Preprocessing ...
% 16.32/2.84 Prover 2: Proving ...
% 16.32/2.90 Prover 1: Constructing countermodel ...
% 17.03/2.91 Prover 5: Constructing countermodel ...
% 17.03/2.93 Prover 6: Proving ...
% 17.03/2.95 Prover 3: Constructing countermodel ...
% 23.99/3.81 Prover 4: Constructing countermodel ...
% 24.58/3.91 Prover 0: Proving ...
% 53.25/7.52 Prover 5: proved (6866ms)
% 53.25/7.52
% 53.25/7.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.25/7.52
% 53.25/7.52 Prover 2: stopped
% 53.25/7.53 Prover 3: stopped
% 53.25/7.53 Prover 6: stopped
% 53.25/7.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 53.25/7.54 Prover 0: stopped
% 53.25/7.55 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 53.25/7.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 53.25/7.55 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 53.25/7.56 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 55.07/7.78 Prover 7: Preprocessing ...
% 56.13/7.88 Prover 8: Preprocessing ...
% 56.13/7.89 Prover 10: Preprocessing ...
% 56.13/7.91 Prover 13: Preprocessing ...
% 56.13/7.93 Prover 11: Preprocessing ...
% 56.13/7.93 Prover 7: Constructing countermodel ...
% 57.35/8.06 Prover 10: Constructing countermodel ...
% 58.44/8.20 Prover 13: Constructing countermodel ...
% 58.44/8.24 Prover 8: Warning: ignoring some quantifiers
% 58.44/8.25 Prover 8: Constructing countermodel ...
% 63.41/8.85 Prover 11: Constructing countermodel ...
% 88.83/12.10 Prover 13: stopped
% 88.83/12.11 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 90.23/12.24 Prover 16: Preprocessing ...
% 91.21/12.33 Prover 16: Constructing countermodel ...
% 105.87/14.19 Prover 10: Found proof (size 350)
% 105.87/14.19 Prover 10: proved (6647ms)
% 105.87/14.19 Prover 16: stopped
% 105.87/14.19 Prover 7: stopped
% 105.87/14.19 Prover 8: stopped
% 105.87/14.19 Prover 1: stopped
% 105.87/14.19 Prover 11: stopped
% 105.87/14.20 Prover 4: stopped
% 105.87/14.20
% 105.87/14.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.87/14.20
% 106.22/14.28 % SZS output start Proof for theBenchmark
% 106.27/14.28 Assumptions after simplification:
% 106.27/14.28 ---------------------------------
% 106.27/14.28
% 106.27/14.28 (ax1)
% 106.27/14.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ ssItem(v1) |
% 106.27/14.29 ~ ssItem(v0) | neq(v0, v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ neq(v0, v0) |
% 106.27/14.29 ~ ssItem(v0))
% 106.27/14.29
% 106.27/14.29 (ax15)
% 106.27/14.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ ssList(v1) |
% 106.27/14.29 ~ ssList(v0) | neq(v0, v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | ~
% 106.27/14.29 neq(v0, v0))
% 106.27/14.29
% 106.27/14.29 (ax17)
% 106.27/14.29 $i(nil) & ssList(nil)
% 106.27/14.29
% 106.27/14.29 (ax2)
% 106.27/14.29 ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & $i(v1) & $i(v0) & ssItem(v1) &
% 106.27/14.29 ssItem(v0))
% 106.27/14.29
% 106.27/14.29 (ax26)
% 106.27/14.31 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v0, v1) = v2) | ~ $i(v1) |
% 106.27/14.31 ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2))
% 106.27/14.31
% 106.27/14.31 (ax28)
% 106.27/14.31 $i(nil) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~
% 106.27/14.32 $i(v0) | ~ ssList(v0))
% 106.27/14.32
% 106.27/14.32 (ax42)
% 106.27/14.32 ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | frontsegP(v0, v0))
% 106.27/14.32
% 106.27/14.32 (ax45)
% 106.27/14.32 $i(nil) & ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | frontsegP(v0, nil))
% 106.27/14.32
% 106.27/14.32 (ax46)
% 106.42/14.32 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ frontsegP(nil, v0) | ~
% 106.42/14.32 ssList(v0)) & ( ~ ssList(nil) | frontsegP(nil, nil))
% 106.42/14.32
% 106.42/14.32 (ax49)
% 106.42/14.32 ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | rearsegP(v0, v0))
% 106.42/14.32
% 106.42/14.32 (ax5)
% 106.42/14.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v1, v2) = v0) | ~ $i(v2) |
% 106.42/14.32 ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) |
% 106.42/14.32 frontsegP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 106.42/14.32 frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1,
% 106.42/14.32 v2) = v0 & $i(v2) & ssList(v2)))
% 106.42/14.32
% 106.42/14.32 (ax51)
% 106.42/14.32 $i(nil) & ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | rearsegP(v0, nil))
% 106.42/14.32
% 106.42/14.32 (ax52)
% 106.42/14.32 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ rearsegP(nil, v0) | ~
% 106.42/14.32 ssList(v0)) & ( ~ ssList(nil) | rearsegP(nil, nil))
% 106.42/14.32
% 106.42/14.32 (ax58)
% 106.42/14.32 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ segmentP(nil, v0) | ~
% 106.42/14.32 ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil))
% 106.42/14.32
% 106.42/14.32 (ax6)
% 106.42/14.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v2, v1) = v0) | ~ $i(v2) |
% 106.42/14.32 ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) |
% 106.42/14.32 rearsegP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 106.42/14.32 rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v2,
% 106.42/14.33 v1) = v0 & $i(v2) & ssList(v2)))
% 106.42/14.33
% 106.42/14.33 (ax7)
% 106.42/14.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 106.42/14.33 (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ $i(v4) | ~ $i(v2) | ~
% 106.42/14.33 $i(v1) | ~ $i(v0) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~
% 106.42/14.33 ssList(v0) | segmentP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 106.42/14.33 $i(v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] :
% 106.42/14.33 ? [v3: $i] : ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) &
% 106.42/14.33 $i(v3) & $i(v2) & ssList(v4) & ssList(v2)))
% 106.42/14.33
% 106.42/14.33 (ax79)
% 106.42/14.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (app(v3,
% 106.42/14.33 v1) = v2) | ~ (app(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) |
% 106.42/14.33 ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 106.42/14.33
% 106.42/14.33 (ax80)
% 106.42/14.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (app(v1,
% 106.42/14.33 v3) = v2) | ~ (app(v1, v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) |
% 106.42/14.33 ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0))
% 106.42/14.33
% 106.42/14.33 (ax82)
% 106.50/14.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 106.50/14.33 (app(v2, v3) = v4) | ~ (app(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~
% 106.50/14.33 $i(v0) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | ? [v5: $i] :
% 106.50/14.33 (app(v1, v3) = v5 & app(v0, v5) = v4 & $i(v5) & $i(v4)))
% 106.50/14.33
% 106.50/14.33 (ax83)
% 106.50/14.34 $i(nil) & ! [v0: $i] : ! [v1: $i] : (v1 = nil | ~ (app(v0, v1) = nil) | ~
% 106.50/14.34 $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0)) & ! [v0: $i] : ! [v1:
% 106.50/14.34 $i] : (v0 = nil | ~ (app(v0, v1) = nil) | ~ $i(v1) | ~ $i(v0) | ~
% 106.50/14.34 ssList(v1) | ~ ssList(v0)) & ! [v0: $i] : (v0 = nil | ~ (app(nil, nil) =
% 106.50/14.34 v0) | ~ ssList(nil))
% 106.50/14.34
% 106.50/14.34 (ax84)
% 106.50/14.34 $i(nil) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~
% 106.50/14.34 $i(v0) | ~ ssList(v0))
% 106.50/14.34
% 106.50/14.34 (co1)
% 106.50/14.34 $i(nil) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (app(v0, v2) = v1 & $i(v2)
% 106.50/14.34 & $i(v1) & $i(v0) & strictorderedP(v0) & ssList(v2) & ssList(v1) &
% 106.50/14.34 ssList(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 106.50/14.34 $i] : ! [v8: $i] : ( ~ (cons(v6, nil) = v7) | ~ (cons(v3, nil) = v4) |
% 106.50/14.34 ~ (app(v8, v7) = v0) | ~ (app(v4, v5) = v2) | ~ $i(v8) | ~ $i(v6) | ~
% 106.50/14.34 $i(v5) | ~ $i(v3) | ~ lt(v6, v3) | ~ ssList(v8) | ~ ssList(v5) | ~
% 106.50/14.34 ssItem(v6) | ~ ssItem(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 106.50/14.34 [v6: $i] : ( ~ (app(v5, v6) = v1) | ~ (app(v3, v4) = v5) | ~ $i(v6) | ~
% 106.50/14.34 $i(v4) | ~ $i(v3) | ~ ssList(v6) | ~ ssList(v4) | ~ ssList(v3) | ?
% 106.50/14.34 [v7: $i] : ( ~ (v7 = v0) & app(v3, v6) = v7 & $i(v7))) & ( ~ (v0 = nil) |
% 106.50/14.34 v1 = nil))
% 106.50/14.34
% 106.50/14.34 (function-axioms)
% 106.50/14.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.50/14.34 (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 106.50/14.34 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2)
% 106.50/14.34 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tl(v2) =
% 106.50/14.34 v1) | ~ (tl(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 106.50/14.34 v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0))
% 106.50/14.34
% 106.50/14.34 Further assumptions not needed in the proof:
% 106.50/14.34 --------------------------------------------
% 106.50/14.34 ax10, ax11, ax12, ax13, ax14, ax16, ax18, ax19, ax20, ax21, ax22, ax23, ax24,
% 106.50/14.34 ax25, ax27, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, ax36, ax37, ax38,
% 106.50/14.34 ax39, ax4, ax40, ax41, ax43, ax44, ax47, ax48, ax50, ax53, ax54, ax55, ax56,
% 106.50/14.34 ax57, ax59, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax70,
% 106.50/14.34 ax71, ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax8, ax81, ax85, ax86, ax87,
% 106.50/14.34 ax88, ax89, ax9, ax90, ax91, ax92, ax93, ax94, ax95
% 106.50/14.34
% 106.50/14.34 Those formulas are unsatisfiable:
% 106.50/14.34 ---------------------------------
% 106.50/14.34
% 106.50/14.34 Begin of proof
% 106.50/14.34 |
% 106.50/14.34 | ALPHA: (ax1) implies:
% 106.50/14.35 | (1) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 106.50/14.35 | ssItem(v1) | ~ ssItem(v0) | neq(v0, v1))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax5) implies:
% 106.50/14.35 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ frontsegP(v0,
% 106.50/14.35 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1, v2) =
% 106.50/14.35 | v0 & $i(v2) & ssList(v2)))
% 106.50/14.35 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v1, v2) = v0) | ~
% 106.50/14.35 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~
% 106.50/14.35 | ssList(v0) | frontsegP(v0, v1))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax6) implies:
% 106.50/14.35 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rearsegP(v0,
% 106.50/14.35 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v2, v1) =
% 106.50/14.35 | v0 & $i(v2) & ssList(v2)))
% 106.50/14.35 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v2, v1) = v0) | ~
% 106.50/14.35 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~
% 106.50/14.35 | ssList(v0) | rearsegP(v0, v1))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax7) implies:
% 106.50/14.35 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ segmentP(v0,
% 106.50/14.35 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : ? [v3: $i] :
% 106.50/14.35 | ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) & $i(v3) &
% 106.50/14.35 | $i(v2) & ssList(v4) & ssList(v2)))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax15) implies:
% 106.50/14.35 | (7) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 106.50/14.35 | ssList(v1) | ~ ssList(v0) | neq(v0, v1))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax17) implies:
% 106.50/14.35 | (8) ssList(nil)
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax28) implies:
% 106.50/14.35 | (9) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(nil, v0) = v1) | ~
% 106.50/14.35 | $i(v0) | ~ ssList(v0))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax45) implies:
% 106.50/14.35 | (10) ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | frontsegP(v0, nil))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax46) implies:
% 106.50/14.35 | (11) ~ ssList(nil) | frontsegP(nil, nil)
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax51) implies:
% 106.50/14.35 | (12) ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | rearsegP(v0, nil))
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax52) implies:
% 106.50/14.35 | (13) ~ ssList(nil) | rearsegP(nil, nil)
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax58) implies:
% 106.50/14.35 | (14) ~ ssList(nil) | segmentP(nil, nil)
% 106.50/14.35 |
% 106.50/14.35 | ALPHA: (ax83) implies:
% 106.50/14.35 | (15) ! [v0: $i] : (v0 = nil | ~ (app(nil, nil) = v0) | ~ ssList(nil))
% 106.50/14.35 | (16) ! [v0: $i] : ! [v1: $i] : (v0 = nil | ~ (app(v0, v1) = nil) | ~
% 106.50/14.35 | $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0))
% 106.50/14.36 | (17) ! [v0: $i] : ! [v1: $i] : (v1 = nil | ~ (app(v0, v1) = nil) | ~
% 106.50/14.36 | $i(v1) | ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0))
% 106.50/14.36 |
% 106.50/14.36 | ALPHA: (ax84) implies:
% 106.50/14.36 | (18) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (app(v0, nil) = v1) | ~
% 106.50/14.36 | $i(v0) | ~ ssList(v0))
% 106.50/14.36 |
% 106.50/14.36 | ALPHA: (co1) implies:
% 106.50/14.36 | (19) $i(nil)
% 106.50/14.36 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (app(v0, v2) = v1 & $i(v2) &
% 106.50/14.36 | $i(v1) & $i(v0) & strictorderedP(v0) & ssList(v2) & ssList(v1) &
% 106.50/14.36 | ssList(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 106.50/14.36 | ! [v7: $i] : ! [v8: $i] : ( ~ (cons(v6, nil) = v7) | ~ (cons(v3,
% 106.50/14.36 | nil) = v4) | ~ (app(v8, v7) = v0) | ~ (app(v4, v5) = v2) |
% 106.50/14.36 | ~ $i(v8) | ~ $i(v6) | ~ $i(v5) | ~ $i(v3) | ~ lt(v6, v3) | ~
% 106.50/14.36 | ssList(v8) | ~ ssList(v5) | ~ ssItem(v6) | ~ ssItem(v3)) & !
% 106.50/14.36 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (app(v5,
% 106.50/14.36 | v6) = v1) | ~ (app(v3, v4) = v5) | ~ $i(v6) | ~ $i(v4) | ~
% 106.50/14.36 | $i(v3) | ~ ssList(v6) | ~ ssList(v4) | ~ ssList(v3) | ? [v7:
% 106.50/14.36 | $i] : ( ~ (v7 = v0) & app(v3, v6) = v7 & $i(v7))) & ( ~ (v0 =
% 106.50/14.36 | nil) | v1 = nil))
% 106.50/14.36 |
% 106.50/14.36 | ALPHA: (function-axioms) implies:
% 106.50/14.36 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.50/14.36 | (app(v3, v2) = v1) | ~ (app(v3, v2) = v0))
% 106.50/14.36 |
% 106.50/14.36 | DELTA: instantiating (ax2) with fresh symbols all_89_0, all_89_1 gives:
% 106.50/14.36 | (22) ~ (all_89_0 = all_89_1) & $i(all_89_0) & $i(all_89_1) &
% 106.50/14.36 | ssItem(all_89_0) & ssItem(all_89_1)
% 106.50/14.36 |
% 106.50/14.36 | ALPHA: (22) implies:
% 106.50/14.36 | (23) ~ (all_89_0 = all_89_1)
% 106.50/14.36 | (24) ssItem(all_89_1)
% 106.50/14.36 | (25) ssItem(all_89_0)
% 106.50/14.36 | (26) $i(all_89_1)
% 106.50/14.36 | (27) $i(all_89_0)
% 106.50/14.36 |
% 106.50/14.36 | DELTA: instantiating (20) with fresh symbols all_91_0, all_91_1, all_91_2
% 106.50/14.36 | gives:
% 106.50/14.36 | (28) app(all_91_2, all_91_0) = all_91_1 & $i(all_91_0) & $i(all_91_1) &
% 106.50/14.36 | $i(all_91_2) & strictorderedP(all_91_2) & ssList(all_91_0) &
% 106.50/14.36 | ssList(all_91_1) & ssList(all_91_2) & ! [v0: $i] : ! [v1: $i] : !
% 106.50/14.36 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (cons(v3,
% 106.50/14.36 | nil) = v4) | ~ (cons(v0, nil) = v1) | ~ (app(v5, v4) =
% 106.50/14.36 | all_91_2) | ~ (app(v1, v2) = all_91_0) | ~ $i(v5) | ~ $i(v3) |
% 106.50/14.36 | ~ $i(v2) | ~ $i(v0) | ~ lt(v3, v0) | ~ ssList(v5) | ~ ssList(v2)
% 106.50/14.36 | | ~ ssItem(v3) | ~ ssItem(v0)) & ! [v0: $i] : ! [v1: $i] : !
% 106.50/14.36 | [v2: $i] : ! [v3: $i] : ( ~ (app(v2, v3) = all_91_1) | ~ (app(v0,
% 106.50/14.36 | v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ ssList(v3) |
% 106.50/14.36 | ~ ssList(v1) | ~ ssList(v0) | ? [v4: any] : ( ~ (v4 = all_91_2) &
% 106.50/14.36 | app(v0, v3) = v4 & $i(v4))) & ( ~ (all_91_2 = nil) | all_91_1 =
% 106.50/14.37 | nil)
% 106.50/14.37 |
% 106.50/14.37 | ALPHA: (28) implies:
% 106.50/14.37 | (29) ssList(all_91_2)
% 106.50/14.37 | (30) ssList(all_91_1)
% 106.50/14.37 | (31) ssList(all_91_0)
% 106.50/14.37 | (32) $i(all_91_2)
% 106.50/14.37 | (33) $i(all_91_1)
% 106.50/14.37 | (34) $i(all_91_0)
% 106.50/14.37 | (35) app(all_91_2, all_91_0) = all_91_1
% 106.50/14.37 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (app(v2,
% 106.50/14.37 | v3) = all_91_1) | ~ (app(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1)
% 106.50/14.37 | | ~ $i(v0) | ~ ssList(v3) | ~ ssList(v1) | ~ ssList(v0) | ?
% 106.50/14.37 | [v4: any] : ( ~ (v4 = all_91_2) & app(v0, v3) = v4 & $i(v4)))
% 106.50/14.37 |
% 106.50/14.37 | BETA: splitting (13) gives:
% 106.50/14.37 |
% 106.50/14.37 | Case 1:
% 106.50/14.37 | |
% 106.50/14.37 | | (37) ~ ssList(nil)
% 106.50/14.37 | |
% 106.50/14.37 | | PRED_UNIFY: (8), (37) imply:
% 106.50/14.37 | | (38) $false
% 106.50/14.37 | |
% 106.50/14.37 | | CLOSE: (38) is inconsistent.
% 106.50/14.37 | |
% 106.50/14.37 | Case 2:
% 106.50/14.37 | |
% 106.50/14.37 | | (39) rearsegP(nil, nil)
% 106.50/14.37 | |
% 106.50/14.37 | | BETA: splitting (11) gives:
% 106.50/14.37 | |
% 106.50/14.37 | | Case 1:
% 106.50/14.37 | | |
% 106.50/14.37 | | | (40) ~ ssList(nil)
% 106.50/14.37 | | |
% 106.50/14.37 | | | PRED_UNIFY: (8), (40) imply:
% 106.50/14.37 | | | (41) $false
% 106.50/14.37 | | |
% 106.50/14.37 | | | CLOSE: (41) is inconsistent.
% 106.50/14.37 | | |
% 106.50/14.37 | | Case 2:
% 106.50/14.37 | | |
% 106.50/14.37 | | | (42) frontsegP(nil, nil)
% 106.50/14.37 | | |
% 106.50/14.37 | | | BETA: splitting (14) gives:
% 106.50/14.37 | | |
% 106.50/14.37 | | | Case 1:
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | (43) ~ ssList(nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | PRED_UNIFY: (8), (43) imply:
% 106.50/14.37 | | | | (44) $false
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | CLOSE: (44) is inconsistent.
% 106.50/14.37 | | | |
% 106.50/14.37 | | | Case 2:
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | (45) segmentP(nil, nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (1) with all_89_0, all_89_1, simplifying with
% 106.50/14.37 | | | | (24), (25), (26), (27) gives:
% 106.50/14.37 | | | | (46) all_89_0 = all_89_1 | neq(all_89_0, all_89_1)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (ax49) with all_91_2, simplifying with (29),
% 106.50/14.37 | | | | (32) gives:
% 106.50/14.37 | | | | (47) rearsegP(all_91_2, all_91_2)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (12) with all_91_2, simplifying with (29),
% 106.50/14.37 | | | | (32) gives:
% 106.50/14.37 | | | | (48) rearsegP(all_91_2, nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (ax42) with all_91_2, simplifying with (29),
% 106.50/14.37 | | | | (32) gives:
% 106.50/14.37 | | | | (49) frontsegP(all_91_2, all_91_2)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (10) with all_91_2, simplifying with (29),
% 106.50/14.37 | | | | (32) gives:
% 106.50/14.37 | | | | (50) frontsegP(all_91_2, nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (12) with all_91_1, simplifying with (30),
% 106.50/14.37 | | | | (33) gives:
% 106.50/14.37 | | | | (51) rearsegP(all_91_1, nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (ax42) with all_91_1, simplifying with (30),
% 106.50/14.37 | | | | (33) gives:
% 106.50/14.37 | | | | (52) frontsegP(all_91_1, all_91_1)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (10) with all_91_1, simplifying with (30),
% 106.50/14.37 | | | | (33) gives:
% 106.50/14.37 | | | | (53) frontsegP(all_91_1, nil)
% 106.50/14.37 | | | |
% 106.50/14.37 | | | | GROUND_INST: instantiating (10) with all_91_0, simplifying with (31),
% 106.50/14.37 | | | | (34) gives:
% 106.50/14.37 | | | | (54) frontsegP(all_91_0, nil)
% 106.50/14.37 | | | |
% 106.50/14.38 | | | | GROUND_INST: instantiating (2) with nil, nil, simplifying with (8),
% 106.50/14.38 | | | | (19), (42) gives:
% 106.50/14.38 | | | | (55) ? [v0: $i] : (app(nil, v0) = nil & $i(v0) & ssList(v0))
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | GROUND_INST: instantiating (4) with nil, nil, simplifying with (8),
% 106.50/14.38 | | | | (19), (39) gives:
% 106.50/14.38 | | | | (56) ? [v0: $i] : (app(v0, nil) = nil & $i(v0) & ssList(v0))
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | GROUND_INST: instantiating (6) with nil, nil, simplifying with (8),
% 106.50/14.38 | | | | (19), (45) gives:
% 106.50/14.38 | | | | (57) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (app(v1, v2) = nil &
% 106.50/14.38 | | | | app(v0, nil) = v1 & $i(v2) & $i(v1) & $i(v0) & ssList(v2) &
% 106.50/14.38 | | | | ssList(v0))
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | GROUND_INST: instantiating (3) with all_91_1, all_91_2, all_91_0,
% 106.50/14.38 | | | | simplifying with (29), (30), (31), (32), (33), (34), (35)
% 106.50/14.38 | | | | gives:
% 106.50/14.38 | | | | (58) frontsegP(all_91_1, all_91_2)
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | GROUND_INST: instantiating (5) with all_91_1, all_91_0, all_91_2,
% 106.50/14.38 | | | | simplifying with (29), (30), (31), (32), (33), (34), (35)
% 106.50/14.38 | | | | gives:
% 106.50/14.38 | | | | (59) rearsegP(all_91_1, all_91_0)
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | DELTA: instantiating (56) with fresh symbol all_112_0 gives:
% 106.50/14.38 | | | | (60) app(all_112_0, nil) = nil & $i(all_112_0) & ssList(all_112_0)
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | ALPHA: (60) implies:
% 106.50/14.38 | | | | (61) ssList(all_112_0)
% 106.50/14.38 | | | | (62) $i(all_112_0)
% 106.50/14.38 | | | | (63) app(all_112_0, nil) = nil
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | DELTA: instantiating (55) with fresh symbol all_114_0 gives:
% 106.50/14.38 | | | | (64) app(nil, all_114_0) = nil & $i(all_114_0) & ssList(all_114_0)
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | ALPHA: (64) implies:
% 106.50/14.38 | | | | (65) ssList(all_114_0)
% 106.50/14.38 | | | | (66) $i(all_114_0)
% 106.50/14.38 | | | | (67) app(nil, all_114_0) = nil
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | DELTA: instantiating (57) with fresh symbols all_116_0, all_116_1,
% 106.50/14.38 | | | | all_116_2 gives:
% 106.50/14.38 | | | | (68) app(all_116_1, all_116_0) = nil & app(all_116_2, nil) =
% 106.50/14.38 | | | | all_116_1 & $i(all_116_0) & $i(all_116_1) & $i(all_116_2) &
% 106.50/14.38 | | | | ssList(all_116_0) & ssList(all_116_2)
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | ALPHA: (68) implies:
% 106.50/14.38 | | | | (69) ssList(all_116_2)
% 106.50/14.38 | | | | (70) ssList(all_116_0)
% 106.50/14.38 | | | | (71) $i(all_116_2)
% 106.50/14.38 | | | | (72) $i(all_116_1)
% 106.50/14.38 | | | | (73) $i(all_116_0)
% 106.50/14.38 | | | | (74) app(all_116_2, nil) = all_116_1
% 106.50/14.38 | | | | (75) app(all_116_1, all_116_0) = nil
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | BETA: splitting (46) gives:
% 106.50/14.38 | | | |
% 106.50/14.38 | | | | Case 1:
% 106.50/14.38 | | | | |
% 106.50/14.38 | | | | |
% 106.50/14.38 | | | | | GROUND_INST: instantiating (2) with all_91_2, nil, simplifying with
% 106.50/14.38 | | | | | (8), (19), (29), (32), (50) gives:
% 106.50/14.38 | | | | | (76) ? [v0: $i] : (app(nil, v0) = all_91_2 & $i(v0) & ssList(v0))
% 106.50/14.38 | | | | |
% 106.50/14.38 | | | | | GROUND_INST: instantiating (2) with all_91_2, all_91_2, simplifying
% 106.50/14.38 | | | | | with (29), (32), (49) gives:
% 106.50/14.38 | | | | | (77) ? [v0: $i] : (app(all_91_2, v0) = all_91_2 & $i(v0) &
% 106.50/14.38 | | | | | ssList(v0))
% 106.50/14.38 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (2) with all_91_1, nil, simplifying with
% 106.50/14.39 | | | | | (8), (19), (30), (33), (53) gives:
% 106.50/14.39 | | | | | (78) ? [v0: $i] : (app(nil, v0) = all_91_1 & $i(v0) & ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (2) with all_91_1, all_91_2, simplifying
% 106.50/14.39 | | | | | with (29), (30), (32), (33), (58) gives:
% 106.50/14.39 | | | | | (79) ? [v0: $i] : (app(all_91_2, v0) = all_91_1 & $i(v0) &
% 106.50/14.39 | | | | | ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (2) with all_91_1, all_91_1, simplifying
% 106.50/14.39 | | | | | with (30), (33), (52) gives:
% 106.50/14.39 | | | | | (80) ? [v0: $i] : (app(all_91_1, v0) = all_91_1 & $i(v0) &
% 106.50/14.39 | | | | | ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (2) with all_91_0, nil, simplifying with
% 106.50/14.39 | | | | | (8), (19), (31), (34), (54) gives:
% 106.50/14.39 | | | | | (81) ? [v0: $i] : (app(nil, v0) = all_91_0 & $i(v0) & ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (4) with all_91_2, nil, simplifying with
% 106.50/14.39 | | | | | (8), (19), (29), (32), (48) gives:
% 106.50/14.39 | | | | | (82) ? [v0: $i] : (app(v0, nil) = all_91_2 & $i(v0) & ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (4) with all_91_2, all_91_2, simplifying
% 106.50/14.39 | | | | | with (29), (32), (47) gives:
% 106.50/14.39 | | | | | (83) ? [v0: $i] : (app(v0, all_91_2) = all_91_2 & $i(v0) &
% 106.50/14.39 | | | | | ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (4) with all_91_1, nil, simplifying with
% 106.50/14.39 | | | | | (8), (19), (30), (33), (51) gives:
% 106.50/14.39 | | | | | (84) ? [v0: $i] : (app(v0, nil) = all_91_1 & $i(v0) & ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (4) with all_91_1, all_91_0, simplifying
% 106.50/14.39 | | | | | with (30), (31), (33), (34), (59) gives:
% 106.50/14.39 | | | | | (85) ? [v0: $i] : (app(v0, all_91_0) = all_91_1 & $i(v0) &
% 106.50/14.39 | | | | | ssList(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (ax82) with nil, all_114_0, nil, all_114_0,
% 106.50/14.39 | | | | | nil, simplifying with (8), (19), (65), (66), (67) gives:
% 106.50/14.39 | | | | | (86) ? [v0: $i] : (app(all_114_0, all_114_0) = v0 & app(nil, v0) =
% 106.50/14.39 | | | | | nil & $i(v0))
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (9) with all_114_0, nil, simplifying with
% 106.50/14.39 | | | | | (65), (66), (67) gives:
% 106.50/14.39 | | | | | (87) all_114_0 = nil
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (18) with all_112_0, nil, simplifying with
% 106.50/14.39 | | | | | (61), (62), (63) gives:
% 106.50/14.39 | | | | | (88) all_112_0 = nil
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (ax26) with all_116_2, nil, all_116_1,
% 106.50/14.39 | | | | | simplifying with (8), (19), (69), (71), (74) gives:
% 106.50/14.39 | | | | | (89) ssList(all_116_1)
% 106.50/14.39 | | | | |
% 106.50/14.39 | | | | | GROUND_INST: instantiating (18) with all_116_2, all_116_1, simplifying
% 106.50/14.39 | | | | | with (69), (71), (74) gives:
% 106.50/14.39 | | | | | (90) all_116_1 = all_116_2
% 106.50/14.39 | | | | |
% 106.50/14.40 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, nil, all_116_1,
% 106.50/14.40 | | | | | all_116_0, nil, simplifying with (8), (19), (69), (70),
% 106.50/14.40 | | | | | (71), (73), (74), (75) gives:
% 106.50/14.40 | | | | | (91) ? [v0: $i] : (app(all_116_2, v0) = nil & app(nil, all_116_0)
% 106.50/14.40 | | | | | = v0 & $i(v0))
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (86) with fresh symbol all_132_0 gives:
% 106.50/14.40 | | | | | (92) app(all_114_0, all_114_0) = all_132_0 & app(nil, all_132_0) =
% 106.50/14.40 | | | | | nil & $i(all_132_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (92) implies:
% 106.50/14.40 | | | | | (93) $i(all_132_0)
% 106.50/14.40 | | | | | (94) app(all_114_0, all_114_0) = all_132_0
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (79) with fresh symbol all_134_0 gives:
% 106.50/14.40 | | | | | (95) app(all_91_2, all_134_0) = all_91_1 & $i(all_134_0) &
% 106.50/14.40 | | | | | ssList(all_134_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (95) implies:
% 106.50/14.40 | | | | | (96) ssList(all_134_0)
% 106.50/14.40 | | | | | (97) $i(all_134_0)
% 106.50/14.40 | | | | | (98) app(all_91_2, all_134_0) = all_91_1
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (78) with fresh symbol all_136_0 gives:
% 106.50/14.40 | | | | | (99) app(nil, all_136_0) = all_91_1 & $i(all_136_0) &
% 106.50/14.40 | | | | | ssList(all_136_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (99) implies:
% 106.50/14.40 | | | | | (100) ssList(all_136_0)
% 106.50/14.40 | | | | | (101) $i(all_136_0)
% 106.50/14.40 | | | | | (102) app(nil, all_136_0) = all_91_1
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (77) with fresh symbol all_138_0 gives:
% 106.50/14.40 | | | | | (103) app(all_91_2, all_138_0) = all_91_2 & $i(all_138_0) &
% 106.50/14.40 | | | | | ssList(all_138_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (103) implies:
% 106.50/14.40 | | | | | (104) ssList(all_138_0)
% 106.50/14.40 | | | | | (105) $i(all_138_0)
% 106.50/14.40 | | | | | (106) app(all_91_2, all_138_0) = all_91_2
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (76) with fresh symbol all_140_0 gives:
% 106.50/14.40 | | | | | (107) app(nil, all_140_0) = all_91_2 & $i(all_140_0) &
% 106.50/14.40 | | | | | ssList(all_140_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (107) implies:
% 106.50/14.40 | | | | | (108) ssList(all_140_0)
% 106.50/14.40 | | | | | (109) $i(all_140_0)
% 106.50/14.40 | | | | | (110) app(nil, all_140_0) = all_91_2
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (85) with fresh symbol all_142_0 gives:
% 106.50/14.40 | | | | | (111) app(all_142_0, all_91_0) = all_91_1 & $i(all_142_0) &
% 106.50/14.40 | | | | | ssList(all_142_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (111) implies:
% 106.50/14.40 | | | | | (112) ssList(all_142_0)
% 106.50/14.40 | | | | | (113) $i(all_142_0)
% 106.50/14.40 | | | | | (114) app(all_142_0, all_91_0) = all_91_1
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (84) with fresh symbol all_146_0 gives:
% 106.50/14.40 | | | | | (115) app(all_146_0, nil) = all_91_1 & $i(all_146_0) &
% 106.50/14.40 | | | | | ssList(all_146_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (115) implies:
% 106.50/14.40 | | | | | (116) ssList(all_146_0)
% 106.50/14.40 | | | | | (117) $i(all_146_0)
% 106.50/14.40 | | | | | (118) app(all_146_0, nil) = all_91_1
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (83) with fresh symbol all_148_0 gives:
% 106.50/14.40 | | | | | (119) app(all_148_0, all_91_2) = all_91_2 & $i(all_148_0) &
% 106.50/14.40 | | | | | ssList(all_148_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (119) implies:
% 106.50/14.40 | | | | | (120) ssList(all_148_0)
% 106.50/14.40 | | | | | (121) $i(all_148_0)
% 106.50/14.40 | | | | | (122) app(all_148_0, all_91_2) = all_91_2
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | DELTA: instantiating (82) with fresh symbol all_152_0 gives:
% 106.50/14.40 | | | | | (123) app(all_152_0, nil) = all_91_2 & $i(all_152_0) &
% 106.50/14.40 | | | | | ssList(all_152_0)
% 106.50/14.40 | | | | |
% 106.50/14.40 | | | | | ALPHA: (123) implies:
% 106.50/14.40 | | | | | (124) ssList(all_152_0)
% 106.50/14.40 | | | | | (125) $i(all_152_0)
% 106.50/14.41 | | | | | (126) app(all_152_0, nil) = all_91_2
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | DELTA: instantiating (91) with fresh symbol all_156_0 gives:
% 106.50/14.41 | | | | | (127) app(all_116_2, all_156_0) = nil & app(nil, all_116_0) =
% 106.50/14.41 | | | | | all_156_0 & $i(all_156_0)
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | ALPHA: (127) implies:
% 106.50/14.41 | | | | | (128) app(nil, all_116_0) = all_156_0
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | DELTA: instantiating (81) with fresh symbol all_158_0 gives:
% 106.50/14.41 | | | | | (129) app(nil, all_158_0) = all_91_0 & $i(all_158_0) &
% 106.50/14.41 | | | | | ssList(all_158_0)
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | ALPHA: (129) implies:
% 106.50/14.41 | | | | | (130) ssList(all_158_0)
% 106.50/14.41 | | | | | (131) $i(all_158_0)
% 106.50/14.41 | | | | | (132) app(nil, all_158_0) = all_91_0
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | DELTA: instantiating (80) with fresh symbol all_160_0 gives:
% 106.50/14.41 | | | | | (133) app(all_91_1, all_160_0) = all_91_1 & $i(all_160_0) &
% 106.50/14.41 | | | | | ssList(all_160_0)
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | ALPHA: (133) implies:
% 106.50/14.41 | | | | | (134) ssList(all_160_0)
% 106.50/14.41 | | | | | (135) $i(all_160_0)
% 106.50/14.41 | | | | | (136) app(all_91_1, all_160_0) = all_91_1
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | REDUCE: (75), (90) imply:
% 106.50/14.41 | | | | | (137) app(all_116_2, all_116_0) = nil
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | REDUCE: (87), (94) imply:
% 106.50/14.41 | | | | | (138) app(nil, nil) = all_132_0
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (15) with all_132_0, simplifying with (8),
% 106.50/14.41 | | | | | (138) gives:
% 106.50/14.41 | | | | | (139) all_132_0 = nil
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | REDUCE: (138), (139) imply:
% 106.50/14.41 | | | | | (140) app(nil, nil) = nil
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (7) with all_136_0, all_91_2, simplifying
% 106.50/14.41 | | | | | with (29), (32), (100), (101) gives:
% 106.50/14.41 | | | | | (141) all_136_0 = all_91_2 | neq(all_136_0, all_91_2)
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (ax82) with nil, nil, nil, all_116_0,
% 106.50/14.41 | | | | | all_156_0, simplifying with (8), (19), (70), (73), (128),
% 106.50/14.41 | | | | | (140) gives:
% 106.50/14.41 | | | | | (142) ? [v0: $i] : (app(nil, v0) = all_156_0 & app(nil, all_116_0)
% 106.50/14.41 | | | | | = v0 & $i(v0) & $i(all_156_0))
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (9) with all_116_0, all_156_0, simplifying
% 106.50/14.41 | | | | | with (70), (73), (128) gives:
% 106.50/14.41 | | | | | (143) all_156_0 = all_116_0
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (ax82) with nil, nil, nil, all_136_0,
% 106.50/14.41 | | | | | all_91_1, simplifying with (8), (19), (100), (101),
% 106.50/14.41 | | | | | (102), (140) gives:
% 106.50/14.41 | | | | | (144) ? [v0: $i] : (app(nil, v0) = all_91_1 & app(nil, all_136_0)
% 106.50/14.41 | | | | | = v0 & $i(v0) & $i(all_91_1))
% 106.50/14.41 | | | | |
% 106.50/14.41 | | | | | GROUND_INST: instantiating (36) with nil, nil, nil, all_136_0,
% 106.50/14.41 | | | | | simplifying with (8), (19), (100), (101), (102), (140)
% 106.50/14.41 | | | | | gives:
% 106.89/14.41 | | | | | (145) ? [v0: any] : ( ~ (v0 = all_91_2) & app(nil, all_136_0) = v0
% 106.89/14.41 | | | | | & $i(v0))
% 106.89/14.41 | | | | |
% 106.89/14.41 | | | | | GROUND_INST: instantiating (9) with all_136_0, all_91_1, simplifying
% 106.89/14.41 | | | | | with (100), (101), (102) gives:
% 106.89/14.41 | | | | | (146) all_136_0 = all_91_1
% 106.89/14.41 | | | | |
% 106.89/14.41 | | | | | GROUND_INST: instantiating (ax82) with nil, all_140_0, all_91_2,
% 106.89/14.41 | | | | | all_91_0, all_91_1, simplifying with (8), (19), (31),
% 106.89/14.41 | | | | | (34), (35), (108), (109), (110) gives:
% 106.89/14.41 | | | | | (147) ? [v0: $i] : (app(all_140_0, all_91_0) = v0 & app(nil, v0) =
% 106.89/14.41 | | | | | all_91_1 & $i(v0) & $i(all_91_1))
% 106.89/14.41 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (36) with nil, all_140_0, all_91_2,
% 106.89/14.42 | | | | | all_91_0, simplifying with (8), (19), (31), (34), (35),
% 106.89/14.42 | | | | | (108), (109), (110) gives:
% 106.89/14.42 | | | | | (148) ? [v0: any] : ( ~ (v0 = all_91_2) & app(nil, all_91_0) = v0
% 106.89/14.42 | | | | | & $i(v0))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (ax82) with nil, nil, nil, all_140_0,
% 106.89/14.42 | | | | | all_91_2, simplifying with (8), (19), (108), (109),
% 106.89/14.42 | | | | | (110), (140) gives:
% 106.89/14.42 | | | | | (149) ? [v0: $i] : (app(nil, v0) = all_91_2 & app(nil, all_140_0)
% 106.89/14.42 | | | | | = v0 & $i(v0) & $i(all_91_2))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (9) with all_140_0, all_91_2, simplifying
% 106.89/14.42 | | | | | with (108), (109), (110) gives:
% 106.89/14.42 | | | | | (150) all_140_0 = all_91_2
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (ax82) with nil, nil, nil, all_158_0,
% 106.89/14.42 | | | | | all_91_0, simplifying with (8), (19), (130), (131),
% 106.89/14.42 | | | | | (132), (140) gives:
% 106.89/14.42 | | | | | (151) ? [v0: $i] : (app(nil, v0) = all_91_0 & app(nil, all_158_0)
% 106.89/14.42 | | | | | = v0 & $i(v0) & $i(all_91_0))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (9) with all_158_0, all_91_0, simplifying
% 106.89/14.42 | | | | | with (130), (131), (132) gives:
% 106.89/14.42 | | | | | (152) all_158_0 = all_91_0
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (ax80) with all_134_0, all_91_2, all_91_1,
% 106.89/14.42 | | | | | all_91_0, simplifying with (29), (31), (32), (34), (35),
% 106.89/14.42 | | | | | (96), (97), (98) gives:
% 106.89/14.42 | | | | | (153) all_134_0 = all_91_0
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (ax82) with nil, all_140_0, all_91_2,
% 106.89/14.42 | | | | | all_134_0, all_91_1, simplifying with (8), (19), (96),
% 106.89/14.42 | | | | | (97), (98), (108), (109), (110) gives:
% 106.89/14.42 | | | | | (154) ? [v0: $i] : (app(all_140_0, all_134_0) = v0 & app(nil, v0)
% 106.89/14.42 | | | | | = all_91_1 & $i(v0) & $i(all_91_1))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (36) with nil, all_140_0, all_91_2,
% 106.89/14.42 | | | | | all_134_0, simplifying with (8), (19), (96), (97), (98),
% 106.89/14.42 | | | | | (108), (109), (110) gives:
% 106.89/14.42 | | | | | (155) ? [v0: any] : ( ~ (v0 = all_91_2) & app(nil, all_134_0) = v0
% 106.89/14.42 | | | | | & $i(v0))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (36) with all_91_2, all_138_0, all_91_2,
% 106.89/14.42 | | | | | all_91_0, simplifying with (29), (31), (32), (34), (35),
% 106.89/14.42 | | | | | (104), (105), (106) gives:
% 106.89/14.42 | | | | | (156) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_91_2, all_91_0)
% 106.89/14.42 | | | | | = v0 & $i(v0))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (36) with all_91_2, all_138_0, all_91_2,
% 106.89/14.42 | | | | | all_134_0, simplifying with (29), (32), (96), (97), (98),
% 106.89/14.42 | | | | | (104), (105), (106) gives:
% 106.89/14.42 | | | | | (157) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_91_2, all_134_0)
% 106.89/14.42 | | | | | = v0 & $i(v0))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (ax82) with nil, all_140_0, all_91_2,
% 106.89/14.42 | | | | | all_138_0, all_91_2, simplifying with (8), (19), (104),
% 106.89/14.42 | | | | | (105), (106), (108), (109), (110) gives:
% 106.89/14.42 | | | | | (158) ? [v0: $i] : (app(all_140_0, all_138_0) = v0 & app(nil, v0)
% 106.89/14.42 | | | | | = all_91_2 & $i(v0) & $i(all_91_2))
% 106.89/14.42 | | | | |
% 106.89/14.42 | | | | | GROUND_INST: instantiating (36) with all_91_1, all_160_0, all_91_1,
% 106.89/14.42 | | | | | all_160_0, simplifying with (30), (33), (134), (135),
% 106.89/14.42 | | | | | (136) gives:
% 106.89/14.43 | | | | | (159) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_91_1, all_160_0)
% 106.89/14.43 | | | | | = v0 & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with nil, all_136_0, all_91_1,
% 106.89/14.43 | | | | | all_160_0, all_91_1, simplifying with (8), (19), (100),
% 106.89/14.43 | | | | | (101), (102), (134), (135), (136) gives:
% 106.89/14.43 | | | | | (160) ? [v0: $i] : (app(all_136_0, all_160_0) = v0 & app(nil, v0)
% 106.89/14.43 | | | | | = all_91_1 & $i(v0) & $i(all_91_1))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (36) with all_91_2, all_134_0, all_91_1,
% 106.89/14.43 | | | | | all_160_0, simplifying with (29), (32), (96), (97), (98),
% 106.89/14.43 | | | | | (134), (135), (136) gives:
% 106.89/14.43 | | | | | (161) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_91_2, all_160_0)
% 106.89/14.43 | | | | | = v0 & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, all_116_0, nil,
% 106.89/14.43 | | | | | all_158_0, all_91_0, simplifying with (69), (70), (71),
% 106.89/14.43 | | | | | (73), (130), (131), (132), (137) gives:
% 106.89/14.43 | | | | | (162) ? [v0: $i] : (app(all_116_0, all_158_0) = v0 &
% 106.89/14.43 | | | | | app(all_116_2, v0) = all_91_0 & $i(v0) & $i(all_91_0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, all_116_0, nil,
% 106.89/14.43 | | | | | all_140_0, all_91_2, simplifying with (69), (70), (71),
% 106.89/14.43 | | | | | (73), (108), (109), (110), (137) gives:
% 106.89/14.43 | | | | | (163) ? [v0: $i] : (app(all_116_0, all_140_0) = v0 &
% 106.89/14.43 | | | | | app(all_116_2, v0) = all_91_2 & $i(v0) & $i(all_91_2))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, all_116_0, nil,
% 106.89/14.43 | | | | | all_136_0, all_91_1, simplifying with (69), (70), (71),
% 106.89/14.43 | | | | | (73), (100), (101), (102), (137) gives:
% 106.89/14.43 | | | | | (164) ? [v0: $i] : (app(all_116_0, all_136_0) = v0 &
% 106.89/14.43 | | | | | app(all_116_2, v0) = all_91_1 & $i(v0) & $i(all_91_1))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (36) with all_116_2, all_116_0, nil,
% 106.89/14.43 | | | | | all_136_0, simplifying with (69), (70), (71), (73),
% 106.89/14.43 | | | | | (100), (101), (102), (137) gives:
% 106.89/14.43 | | | | | (165) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_116_2,
% 106.89/14.43 | | | | | all_136_0) = v0 & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, all_116_0, nil,
% 106.89/14.43 | | | | | all_116_0, all_156_0, simplifying with (69), (70), (71),
% 106.89/14.43 | | | | | (73), (128), (137) gives:
% 106.89/14.43 | | | | | (166) ? [v0: $i] : (app(all_116_0, all_116_0) = v0 &
% 106.89/14.43 | | | | | app(all_116_2, v0) = all_156_0 & $i(v0) & $i(all_156_0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_116_2, all_116_0, nil, nil,
% 106.89/14.43 | | | | | nil, simplifying with (8), (19), (69), (70), (71), (73),
% 106.89/14.43 | | | | | (137), (140) gives:
% 106.89/14.43 | | | | | (167) ? [v0: $i] : (app(all_116_0, nil) = v0 & app(all_116_2, v0)
% 106.89/14.43 | | | | | = nil & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (17) with all_116_2, all_116_0, simplifying
% 106.89/14.43 | | | | | with (69), (70), (71), (73), (137) gives:
% 106.89/14.43 | | | | | (168) all_116_0 = nil
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (16) with all_116_2, all_116_0, simplifying
% 106.89/14.43 | | | | | with (69), (70), (71), (73), (137) gives:
% 106.89/14.43 | | | | | (169) all_116_2 = nil
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax79) with all_142_0, all_91_0, all_91_1,
% 106.89/14.43 | | | | | all_91_2, simplifying with (29), (31), (32), (34), (35),
% 106.89/14.43 | | | | | (112), (113), (114) gives:
% 106.89/14.43 | | | | | (170) all_142_0 = all_91_2
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (36) with all_142_0, all_91_0, all_91_1,
% 106.89/14.43 | | | | | all_160_0, simplifying with (31), (34), (112), (113),
% 106.89/14.43 | | | | | (114), (134), (135), (136) gives:
% 106.89/14.43 | | | | | (171) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_142_0,
% 106.89/14.43 | | | | | all_160_0) = v0 & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (36) with all_146_0, nil, all_91_1,
% 106.89/14.43 | | | | | all_160_0, simplifying with (8), (19), (116), (117),
% 106.89/14.43 | | | | | (118), (134), (135), (136) gives:
% 106.89/14.43 | | | | | (172) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_146_0,
% 106.89/14.43 | | | | | all_160_0) = v0 & $i(v0))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (18) with all_146_0, all_91_1, simplifying
% 106.89/14.43 | | | | | with (116), (117), (118) gives:
% 106.89/14.43 | | | | | (173) all_146_0 = all_91_1
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_148_0, all_91_2, all_91_2,
% 106.89/14.43 | | | | | all_91_0, all_91_1, simplifying with (29), (31), (32),
% 106.89/14.43 | | | | | (34), (35), (120), (121), (122) gives:
% 106.89/14.43 | | | | | (174) ? [v0: $i] : (app(all_148_0, v0) = all_91_1 & app(all_91_2,
% 106.89/14.43 | | | | | all_91_0) = v0 & $i(v0) & $i(all_91_1))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_148_0, all_91_2, all_91_2,
% 106.89/14.43 | | | | | all_134_0, all_91_1, simplifying with (29), (32), (96),
% 106.89/14.43 | | | | | (97), (98), (120), (121), (122) gives:
% 106.89/14.43 | | | | | (175) ? [v0: $i] : (app(all_148_0, v0) = all_91_1 & app(all_91_2,
% 106.89/14.43 | | | | | all_134_0) = v0 & $i(v0) & $i(all_91_1))
% 106.89/14.43 | | | | |
% 106.89/14.43 | | | | | GROUND_INST: instantiating (ax82) with all_152_0, nil, all_91_2,
% 106.89/14.43 | | | | | all_91_0, all_91_1, simplifying with (8), (19), (31),
% 106.89/14.43 | | | | | (34), (35), (124), (125), (126) gives:
% 106.89/14.44 | | | | | (176) ? [v0: $i] : (app(all_152_0, v0) = all_91_1 & app(nil,
% 106.89/14.44 | | | | | all_91_0) = v0 & $i(v0) & $i(all_91_1))
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | GROUND_INST: instantiating (36) with all_152_0, nil, all_91_2,
% 106.89/14.44 | | | | | all_91_0, simplifying with (8), (19), (31), (34), (35),
% 106.89/14.44 | | | | | (124), (125), (126) gives:
% 106.89/14.44 | | | | | (177) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_152_0, all_91_0)
% 106.89/14.44 | | | | | = v0 & $i(v0))
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | GROUND_INST: instantiating (ax82) with all_152_0, nil, all_91_2,
% 106.89/14.44 | | | | | all_134_0, all_91_1, simplifying with (8), (19), (96),
% 106.89/14.44 | | | | | (97), (98), (124), (125), (126) gives:
% 106.89/14.44 | | | | | (178) ? [v0: $i] : (app(all_152_0, v0) = all_91_1 & app(nil,
% 106.89/14.44 | | | | | all_134_0) = v0 & $i(v0) & $i(all_91_1))
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | GROUND_INST: instantiating (36) with all_152_0, nil, all_91_2,
% 106.89/14.44 | | | | | all_134_0, simplifying with (8), (19), (96), (97), (98),
% 106.89/14.44 | | | | | (124), (125), (126) gives:
% 106.89/14.44 | | | | | (179) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_152_0,
% 106.89/14.44 | | | | | all_134_0) = v0 & $i(v0))
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | GROUND_INST: instantiating (18) with all_152_0, all_91_2, simplifying
% 106.89/14.44 | | | | | with (124), (125), (126) gives:
% 106.89/14.44 | | | | | (180) all_152_0 = all_91_2
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | COMBINE_EQS: (143), (168) imply:
% 106.89/14.44 | | | | | (181) all_156_0 = nil
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (148) with fresh symbol all_188_0 gives:
% 106.89/14.44 | | | | | (182) ~ (all_188_0 = all_91_2) & app(nil, all_91_0) = all_188_0 &
% 106.89/14.44 | | | | | $i(all_188_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (182) implies:
% 106.89/14.44 | | | | | (183) $i(all_188_0)
% 106.89/14.44 | | | | | (184) app(nil, all_91_0) = all_188_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (165) with fresh symbol all_190_0 gives:
% 106.89/14.44 | | | | | (185) ~ (all_190_0 = all_91_2) & app(all_116_2, all_136_0) =
% 106.89/14.44 | | | | | all_190_0 & $i(all_190_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (185) implies:
% 106.89/14.44 | | | | | (186) ~ (all_190_0 = all_91_2)
% 106.89/14.44 | | | | | (187) $i(all_190_0)
% 106.89/14.44 | | | | | (188) app(all_116_2, all_136_0) = all_190_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (161) with fresh symbol all_194_0 gives:
% 106.89/14.44 | | | | | (189) ~ (all_194_0 = all_91_2) & app(all_91_2, all_160_0) =
% 106.89/14.44 | | | | | all_194_0 & $i(all_194_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (189) implies:
% 106.89/14.44 | | | | | (190) app(all_91_2, all_160_0) = all_194_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (159) with fresh symbol all_198_0 gives:
% 106.89/14.44 | | | | | (191) ~ (all_198_0 = all_91_2) & app(all_91_1, all_160_0) =
% 106.89/14.44 | | | | | all_198_0 & $i(all_198_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (191) implies:
% 106.89/14.44 | | | | | (192) app(all_91_1, all_160_0) = all_198_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (157) with fresh symbol all_204_0 gives:
% 106.89/14.44 | | | | | (193) ~ (all_204_0 = all_91_2) & app(all_91_2, all_134_0) =
% 106.89/14.44 | | | | | all_204_0 & $i(all_204_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (193) implies:
% 106.89/14.44 | | | | | (194) app(all_91_2, all_134_0) = all_204_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (145) with fresh symbol all_206_0 gives:
% 106.89/14.44 | | | | | (195) ~ (all_206_0 = all_91_2) & app(nil, all_136_0) = all_206_0 &
% 106.89/14.44 | | | | | $i(all_206_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (195) implies:
% 106.89/14.44 | | | | | (196) app(nil, all_136_0) = all_206_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (172) with fresh symbol all_208_0 gives:
% 106.89/14.44 | | | | | (197) ~ (all_208_0 = all_91_2) & app(all_146_0, all_160_0) =
% 106.89/14.44 | | | | | all_208_0 & $i(all_208_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (197) implies:
% 106.89/14.44 | | | | | (198) app(all_146_0, all_160_0) = all_208_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (177) with fresh symbol all_212_0 gives:
% 106.89/14.44 | | | | | (199) ~ (all_212_0 = all_91_2) & app(all_152_0, all_91_0) =
% 106.89/14.44 | | | | | all_212_0 & $i(all_212_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (199) implies:
% 106.89/14.44 | | | | | (200) app(all_152_0, all_91_0) = all_212_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (167) with fresh symbol all_216_0 gives:
% 106.89/14.44 | | | | | (201) app(all_116_0, nil) = all_216_0 & app(all_116_2, all_216_0) =
% 106.89/14.44 | | | | | nil & $i(all_216_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (201) implies:
% 106.89/14.44 | | | | | (202) $i(all_216_0)
% 106.89/14.44 | | | | | (203) app(all_116_0, nil) = all_216_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (179) with fresh symbol all_222_0 gives:
% 106.89/14.44 | | | | | (204) ~ (all_222_0 = all_91_2) & app(all_152_0, all_134_0) =
% 106.89/14.44 | | | | | all_222_0 & $i(all_222_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (204) implies:
% 106.89/14.44 | | | | | (205) app(all_152_0, all_134_0) = all_222_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (156) with fresh symbol all_226_0 gives:
% 106.89/14.44 | | | | | (206) ~ (all_226_0 = all_91_2) & app(all_91_2, all_91_0) =
% 106.89/14.44 | | | | | all_226_0 & $i(all_226_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (206) implies:
% 106.89/14.44 | | | | | (207) app(all_91_2, all_91_0) = all_226_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (171) with fresh symbol all_246_0 gives:
% 106.89/14.44 | | | | | (208) ~ (all_246_0 = all_91_2) & app(all_142_0, all_160_0) =
% 106.89/14.44 | | | | | all_246_0 & $i(all_246_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (208) implies:
% 106.89/14.44 | | | | | (209) ~ (all_246_0 = all_91_2)
% 106.89/14.44 | | | | | (210) app(all_142_0, all_160_0) = all_246_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (155) with fresh symbol all_248_0 gives:
% 106.89/14.44 | | | | | (211) ~ (all_248_0 = all_91_2) & app(nil, all_134_0) = all_248_0 &
% 106.89/14.44 | | | | | $i(all_248_0)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (211) implies:
% 106.89/14.44 | | | | | (212) app(nil, all_134_0) = all_248_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (158) with fresh symbol all_252_0 gives:
% 106.89/14.44 | | | | | (213) app(all_140_0, all_138_0) = all_252_0 & app(nil, all_252_0) =
% 106.89/14.44 | | | | | all_91_2 & $i(all_252_0) & $i(all_91_2)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (213) implies:
% 106.89/14.44 | | | | | (214) $i(all_252_0)
% 106.89/14.44 | | | | | (215) app(all_140_0, all_138_0) = all_252_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (178) with fresh symbol all_254_0 gives:
% 106.89/14.44 | | | | | (216) app(all_152_0, all_254_0) = all_91_1 & app(nil, all_134_0) =
% 106.89/14.44 | | | | | all_254_0 & $i(all_254_0) & $i(all_91_1)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (216) implies:
% 106.89/14.44 | | | | | (217) app(nil, all_134_0) = all_254_0
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | DELTA: instantiating (160) with fresh symbol all_258_0 gives:
% 106.89/14.44 | | | | | (218) app(all_136_0, all_160_0) = all_258_0 & app(nil, all_258_0) =
% 106.89/14.44 | | | | | all_91_1 & $i(all_258_0) & $i(all_91_1)
% 106.89/14.44 | | | | |
% 106.89/14.44 | | | | | ALPHA: (218) implies:
% 106.89/14.45 | | | | | (219) app(all_136_0, all_160_0) = all_258_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (144) with fresh symbol all_262_0 gives:
% 106.89/14.45 | | | | | (220) app(nil, all_262_0) = all_91_1 & app(nil, all_136_0) =
% 106.89/14.45 | | | | | all_262_0 & $i(all_262_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (220) implies:
% 106.89/14.45 | | | | | (221) app(nil, all_136_0) = all_262_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (163) with fresh symbol all_268_0 gives:
% 106.89/14.45 | | | | | (222) app(all_116_0, all_140_0) = all_268_0 & app(all_116_2,
% 106.89/14.45 | | | | | all_268_0) = all_91_2 & $i(all_268_0) & $i(all_91_2)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (222) implies:
% 106.89/14.45 | | | | | (223) app(all_116_0, all_140_0) = all_268_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (162) with fresh symbol all_272_0 gives:
% 106.89/14.45 | | | | | (224) app(all_116_0, all_158_0) = all_272_0 & app(all_116_2,
% 106.89/14.45 | | | | | all_272_0) = all_91_0 & $i(all_272_0) & $i(all_91_0)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (224) implies:
% 106.89/14.45 | | | | | (225) app(all_116_0, all_158_0) = all_272_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (174) with fresh symbol all_284_0 gives:
% 106.89/14.45 | | | | | (226) app(all_148_0, all_284_0) = all_91_1 & app(all_91_2,
% 106.89/14.45 | | | | | all_91_0) = all_284_0 & $i(all_284_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (226) implies:
% 106.89/14.45 | | | | | (227) app(all_91_2, all_91_0) = all_284_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (149) with fresh symbol all_286_0 gives:
% 106.89/14.45 | | | | | (228) app(nil, all_286_0) = all_91_2 & app(nil, all_140_0) =
% 106.89/14.45 | | | | | all_286_0 & $i(all_286_0) & $i(all_91_2)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (228) implies:
% 106.89/14.45 | | | | | (229) app(nil, all_140_0) = all_286_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (142) with fresh symbol all_288_0 gives:
% 106.89/14.45 | | | | | (230) app(nil, all_288_0) = all_156_0 & app(nil, all_116_0) =
% 106.89/14.45 | | | | | all_288_0 & $i(all_288_0) & $i(all_156_0)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (230) implies:
% 106.89/14.45 | | | | | (231) app(nil, all_116_0) = all_288_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (176) with fresh symbol all_290_0 gives:
% 106.89/14.45 | | | | | (232) app(all_152_0, all_290_0) = all_91_1 & app(nil, all_91_0) =
% 106.89/14.45 | | | | | all_290_0 & $i(all_290_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (232) implies:
% 106.89/14.45 | | | | | (233) app(nil, all_91_0) = all_290_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (175) with fresh symbol all_294_0 gives:
% 106.89/14.45 | | | | | (234) app(all_148_0, all_294_0) = all_91_1 & app(all_91_2,
% 106.89/14.45 | | | | | all_134_0) = all_294_0 & $i(all_294_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (234) implies:
% 106.89/14.45 | | | | | (235) app(all_91_2, all_134_0) = all_294_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (147) with fresh symbol all_296_0 gives:
% 106.89/14.45 | | | | | (236) app(all_140_0, all_91_0) = all_296_0 & app(nil, all_296_0) =
% 106.89/14.45 | | | | | all_91_1 & $i(all_296_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (236) implies:
% 106.89/14.45 | | | | | (237) app(all_140_0, all_91_0) = all_296_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (154) with fresh symbol all_298_0 gives:
% 106.89/14.45 | | | | | (238) app(all_140_0, all_134_0) = all_298_0 & app(nil, all_298_0) =
% 106.89/14.45 | | | | | all_91_1 & $i(all_298_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (238) implies:
% 106.89/14.45 | | | | | (239) app(all_140_0, all_134_0) = all_298_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (164) with fresh symbol all_300_0 gives:
% 106.89/14.45 | | | | | (240) app(all_116_0, all_136_0) = all_300_0 & app(all_116_2,
% 106.89/14.45 | | | | | all_300_0) = all_91_1 & $i(all_300_0) & $i(all_91_1)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (240) implies:
% 106.89/14.45 | | | | | (241) app(all_116_0, all_136_0) = all_300_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (151) with fresh symbol all_302_0 gives:
% 106.89/14.45 | | | | | (242) app(nil, all_302_0) = all_91_0 & app(nil, all_158_0) =
% 106.89/14.45 | | | | | all_302_0 & $i(all_302_0) & $i(all_91_0)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (242) implies:
% 106.89/14.45 | | | | | (243) app(nil, all_158_0) = all_302_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | DELTA: instantiating (166) with fresh symbol all_304_0 gives:
% 106.89/14.45 | | | | | (244) app(all_116_0, all_116_0) = all_304_0 & app(all_116_2,
% 106.89/14.45 | | | | | all_304_0) = all_156_0 & $i(all_304_0) & $i(all_156_0)
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | ALPHA: (244) implies:
% 106.89/14.45 | | | | | (245) app(all_116_0, all_116_0) = all_304_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (153), (180), (205) imply:
% 106.89/14.45 | | | | | (246) app(all_91_2, all_91_0) = all_222_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (180), (200) imply:
% 106.89/14.45 | | | | | (247) app(all_91_2, all_91_0) = all_212_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (126), (180) imply:
% 106.89/14.45 | | | | | (248) app(all_91_2, nil) = all_91_2
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (173), (198) imply:
% 106.89/14.45 | | | | | (249) app(all_91_1, all_160_0) = all_208_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (118), (173) imply:
% 106.89/14.45 | | | | | (250) app(all_91_1, nil) = all_91_1
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (170), (210) imply:
% 106.89/14.45 | | | | | (251) app(all_91_2, all_160_0) = all_246_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (150), (215) imply:
% 106.89/14.45 | | | | | (252) app(all_91_2, all_138_0) = all_252_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (150), (153), (239) imply:
% 106.89/14.45 | | | | | (253) app(all_91_2, all_91_0) = all_298_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (150), (237) imply:
% 106.89/14.45 | | | | | (254) app(all_91_2, all_91_0) = all_296_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (146), (219) imply:
% 106.89/14.45 | | | | | (255) app(all_91_1, all_160_0) = all_258_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (152), (168), (225) imply:
% 106.89/14.45 | | | | | (256) app(nil, all_91_0) = all_272_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (150), (168), (223) imply:
% 106.89/14.45 | | | | | (257) app(nil, all_91_2) = all_268_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (146), (168), (241) imply:
% 106.89/14.45 | | | | | (258) app(nil, all_91_1) = all_300_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (168), (245) imply:
% 106.89/14.45 | | | | | (259) app(nil, nil) = all_304_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (168), (203) imply:
% 106.89/14.45 | | | | | (260) app(nil, nil) = all_216_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (146), (169), (188) imply:
% 106.89/14.45 | | | | | (261) app(nil, all_91_1) = all_190_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (153), (235) imply:
% 106.89/14.45 | | | | | (262) app(all_91_2, all_91_0) = all_294_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (153), (194) imply:
% 106.89/14.45 | | | | | (263) app(all_91_2, all_91_0) = all_204_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (152), (243) imply:
% 106.89/14.45 | | | | | (264) app(nil, all_91_0) = all_302_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (132), (152) imply:
% 106.89/14.45 | | | | | (265) app(nil, all_91_0) = all_91_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (150), (229) imply:
% 106.89/14.45 | | | | | (266) app(nil, all_91_2) = all_286_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (110), (150) imply:
% 106.89/14.45 | | | | | (267) app(nil, all_91_2) = all_91_2
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (146), (221) imply:
% 106.89/14.45 | | | | | (268) app(nil, all_91_1) = all_262_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (146), (196) imply:
% 106.89/14.45 | | | | | (269) app(nil, all_91_1) = all_206_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (102), (146) imply:
% 106.89/14.45 | | | | | (270) app(nil, all_91_1) = all_91_1
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (153), (217) imply:
% 106.89/14.45 | | | | | (271) app(nil, all_91_0) = all_254_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (153), (212) imply:
% 106.89/14.45 | | | | | (272) app(nil, all_91_0) = all_248_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | REDUCE: (168), (231) imply:
% 106.89/14.45 | | | | | (273) app(nil, nil) = all_288_0
% 106.89/14.45 | | | | |
% 106.89/14.45 | | | | | GROUND_INST: instantiating (21) with all_216_0, all_288_0, nil, nil,
% 106.89/14.45 | | | | | simplifying with (260), (273) gives:
% 106.89/14.45 | | | | | (274) all_288_0 = all_216_0
% 106.89/14.45 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with nil, all_304_0, nil, nil,
% 106.89/14.46 | | | | | simplifying with (140), (259) gives:
% 106.89/14.46 | | | | | (275) all_304_0 = nil
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_288_0, all_304_0, nil, nil,
% 106.89/14.46 | | | | | simplifying with (259), (273) gives:
% 106.89/14.46 | | | | | (276) all_304_0 = all_288_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_268_0, all_286_0, all_91_2,
% 106.89/14.46 | | | | | nil, simplifying with (257), (266) gives:
% 106.89/14.46 | | | | | (277) all_286_0 = all_268_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_2, all_286_0, all_91_2,
% 106.89/14.46 | | | | | nil, simplifying with (266), (267) gives:
% 106.89/14.46 | | | | | (278) all_286_0 = all_91_2
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_1, all_206_0, all_91_1,
% 106.89/14.46 | | | | | nil, simplifying with (269), (270) gives:
% 106.89/14.46 | | | | | (279) all_206_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_262_0, all_300_0, all_91_1,
% 106.89/14.46 | | | | | nil, simplifying with (258), (268) gives:
% 106.89/14.46 | | | | | (280) all_300_0 = all_262_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_206_0, all_300_0, all_91_1,
% 106.89/14.46 | | | | | nil, simplifying with (258), (269) gives:
% 106.89/14.46 | | | | | (281) all_300_0 = all_206_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_190_0, all_300_0, all_91_1,
% 106.89/14.46 | | | | | nil, simplifying with (258), (261) gives:
% 106.89/14.46 | | | | | (282) all_300_0 = all_190_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_254_0, all_272_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (256), (271) gives:
% 106.89/14.46 | | | | | (283) all_272_0 = all_254_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_188_0, all_272_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (184), (256) gives:
% 106.89/14.46 | | | | | (284) all_272_0 = all_188_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_254_0, all_290_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (233), (271) gives:
% 106.89/14.46 | | | | | (285) all_290_0 = all_254_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_248_0, all_290_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (233), (272) gives:
% 106.89/14.46 | | | | | (286) all_290_0 = all_248_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_290_0, all_302_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (233), (264) gives:
% 106.89/14.46 | | | | | (287) all_302_0 = all_290_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_0, all_302_0, all_91_0,
% 106.89/14.46 | | | | | nil, simplifying with (264), (265) gives:
% 106.89/14.46 | | | | | (288) all_302_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_226_0, all_284_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (207), (227) gives:
% 106.89/14.46 | | | | | (289) all_284_0 = all_226_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_1, all_296_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (35), (254) gives:
% 106.89/14.46 | | | | | (290) all_296_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_294_0, all_296_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (254), (262) gives:
% 106.89/14.46 | | | | | (291) all_296_0 = all_294_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_226_0, all_296_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (207), (254) gives:
% 106.89/14.46 | | | | | (292) all_296_0 = all_226_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_222_0, all_296_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (246), (254) gives:
% 106.89/14.46 | | | | | (293) all_296_0 = all_222_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_204_0, all_296_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (254), (263) gives:
% 106.89/14.46 | | | | | (294) all_296_0 = all_204_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_284_0, all_298_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (227), (253) gives:
% 106.89/14.46 | | | | | (295) all_298_0 = all_284_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_212_0, all_298_0, all_91_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (247), (253) gives:
% 106.89/14.46 | | | | | (296) all_298_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_2, all_252_0, all_138_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (106), (252) gives:
% 106.89/14.46 | | | | | (297) all_252_0 = all_91_2
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_194_0, all_246_0, all_160_0,
% 106.89/14.46 | | | | | all_91_2, simplifying with (190), (251) gives:
% 106.89/14.46 | | | | | (298) all_246_0 = all_194_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_91_1, all_208_0, all_160_0,
% 106.89/14.46 | | | | | all_91_1, simplifying with (136), (249) gives:
% 106.89/14.46 | | | | | (299) all_208_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_208_0, all_258_0, all_160_0,
% 106.89/14.46 | | | | | all_91_1, simplifying with (249), (255) gives:
% 106.89/14.46 | | | | | (300) all_258_0 = all_208_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | GROUND_INST: instantiating (21) with all_198_0, all_258_0, all_160_0,
% 106.89/14.46 | | | | | all_91_1, simplifying with (192), (255) gives:
% 106.89/14.46 | | | | | (301) all_258_0 = all_198_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (275), (276) imply:
% 106.89/14.46 | | | | | (302) all_288_0 = nil
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (302) implies:
% 106.89/14.46 | | | | | (303) all_288_0 = nil
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (287), (288) imply:
% 106.89/14.46 | | | | | (304) all_290_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (304) implies:
% 106.89/14.46 | | | | | (305) all_290_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (280), (282) imply:
% 106.89/14.46 | | | | | (306) all_262_0 = all_190_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (280), (281) imply:
% 106.89/14.46 | | | | | (307) all_262_0 = all_206_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (295), (296) imply:
% 106.89/14.46 | | | | | (308) all_284_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (308) implies:
% 106.89/14.46 | | | | | (309) all_284_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (290), (291) imply:
% 106.89/14.46 | | | | | (310) all_294_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (291), (293) imply:
% 106.89/14.46 | | | | | (311) all_294_0 = all_222_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (291), (292) imply:
% 106.89/14.46 | | | | | (312) all_294_0 = all_226_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (291), (294) imply:
% 106.89/14.46 | | | | | (313) all_294_0 = all_204_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (310), (311) imply:
% 106.89/14.46 | | | | | (314) all_222_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (311), (312) imply:
% 106.89/14.46 | | | | | (315) all_226_0 = all_222_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (315) implies:
% 106.89/14.46 | | | | | (316) all_226_0 = all_222_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (311), (313) imply:
% 106.89/14.46 | | | | | (317) all_222_0 = all_204_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (285), (286) imply:
% 106.89/14.46 | | | | | (318) all_254_0 = all_248_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (318) implies:
% 106.89/14.46 | | | | | (319) all_254_0 = all_248_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (286), (305) imply:
% 106.89/14.46 | | | | | (320) all_248_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (274), (303) imply:
% 106.89/14.46 | | | | | (321) all_216_0 = nil
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (321) implies:
% 106.89/14.46 | | | | | (322) all_216_0 = nil
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (277), (278) imply:
% 106.89/14.46 | | | | | (323) all_268_0 = all_91_2
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (289), (309) imply:
% 106.89/14.46 | | | | | (324) all_226_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (324) implies:
% 106.89/14.46 | | | | | (325) all_226_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (283), (284) imply:
% 106.89/14.46 | | | | | (326) all_254_0 = all_188_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (326) implies:
% 106.89/14.46 | | | | | (327) all_254_0 = all_188_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (306), (307) imply:
% 106.89/14.46 | | | | | (328) all_206_0 = all_190_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (328) implies:
% 106.89/14.46 | | | | | (329) all_206_0 = all_190_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (300), (301) imply:
% 106.89/14.46 | | | | | (330) all_208_0 = all_198_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (330) implies:
% 106.89/14.46 | | | | | (331) all_208_0 = all_198_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (319), (327) imply:
% 106.89/14.46 | | | | | (332) all_248_0 = all_188_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (332) implies:
% 106.89/14.46 | | | | | (333) all_248_0 = all_188_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (320), (333) imply:
% 106.89/14.46 | | | | | (334) all_188_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (334) implies:
% 106.89/14.46 | | | | | (335) all_188_0 = all_91_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (316), (325) imply:
% 106.89/14.46 | | | | | (336) all_222_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (336) implies:
% 106.89/14.46 | | | | | (337) all_222_0 = all_212_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (317), (337) imply:
% 106.89/14.46 | | | | | (338) all_212_0 = all_204_0
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (314), (337) imply:
% 106.89/14.46 | | | | | (339) all_212_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (338), (339) imply:
% 106.89/14.46 | | | | | (340) all_204_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | SIMP: (340) implies:
% 106.89/14.46 | | | | | (341) all_204_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (299), (331) imply:
% 106.89/14.46 | | | | | (342) all_198_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | COMBINE_EQS: (279), (329) imply:
% 106.89/14.46 | | | | | (343) all_190_0 = all_91_1
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | REDUCE: (209), (298) imply:
% 106.89/14.46 | | | | | (344) ~ (all_194_0 = all_91_2)
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | REDUCE: (186), (343) imply:
% 106.89/14.46 | | | | | (345) ~ (all_91_1 = all_91_2)
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | BETA: splitting (141) gives:
% 106.89/14.46 | | | | |
% 106.89/14.46 | | | | | Case 1:
% 106.89/14.46 | | | | | |
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (ax80) with nil, all_91_2, all_91_2,
% 106.89/14.47 | | | | | | all_138_0, simplifying with (8), (19), (29), (32),
% 106.89/14.47 | | | | | | (104), (105), (106), (248) gives:
% 106.89/14.47 | | | | | | (346) all_138_0 = nil
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (ax82) with all_148_0, all_91_2,
% 106.89/14.47 | | | | | | all_91_2, all_160_0, all_194_0, simplifying with (29),
% 106.89/14.47 | | | | | | (32), (120), (121), (122), (134), (135), (190) gives:
% 106.89/14.47 | | | | | | (347) ? [v0: $i] : (app(all_148_0, v0) = all_194_0 &
% 106.89/14.47 | | | | | | app(all_91_2, all_160_0) = v0 & $i(v0) & $i(all_194_0))
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (ax82) with nil, all_91_2, all_91_2,
% 106.89/14.47 | | | | | | all_160_0, all_194_0, simplifying with (8), (19), (29),
% 106.89/14.47 | | | | | | (32), (134), (135), (190), (267) gives:
% 106.89/14.47 | | | | | | (348) ? [v0: $i] : (app(all_91_2, all_160_0) = v0 & app(nil, v0)
% 106.89/14.47 | | | | | | = all_194_0 & $i(v0) & $i(all_194_0))
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (ax80) with nil, all_91_1, all_91_1,
% 106.89/14.47 | | | | | | all_160_0, simplifying with (8), (19), (30), (33),
% 106.89/14.47 | | | | | | (134), (135), (136), (250) gives:
% 106.89/14.47 | | | | | | (349) all_160_0 = nil
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (36) with all_91_2, all_91_0, all_91_1,
% 106.89/14.47 | | | | | | nil, simplifying with (8), (19), (29), (31), (32),
% 106.89/14.47 | | | | | | (34), (35), (250) gives:
% 106.89/14.47 | | | | | | (350) ? [v0: any] : ( ~ (v0 = all_91_2) & app(all_91_2, nil) =
% 106.89/14.47 | | | | | | v0 & $i(v0))
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | DELTA: instantiating (350) with fresh symbol all_492_0 gives:
% 106.89/14.47 | | | | | | (351) ~ (all_492_0 = all_91_2) & app(all_91_2, nil) = all_492_0
% 106.89/14.47 | | | | | | & $i(all_492_0)
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | ALPHA: (351) implies:
% 106.89/14.47 | | | | | | (352) app(all_91_2, nil) = all_492_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | DELTA: instantiating (348) with fresh symbol all_802_0 gives:
% 106.89/14.47 | | | | | | (353) app(all_91_2, all_160_0) = all_802_0 & app(nil, all_802_0)
% 106.89/14.47 | | | | | | = all_194_0 & $i(all_802_0) & $i(all_194_0)
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | ALPHA: (353) implies:
% 106.89/14.47 | | | | | | (354) app(all_91_2, all_160_0) = all_802_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | DELTA: instantiating (347) with fresh symbol all_810_0 gives:
% 106.89/14.47 | | | | | | (355) app(all_148_0, all_810_0) = all_194_0 & app(all_91_2,
% 106.89/14.47 | | | | | | all_160_0) = all_810_0 & $i(all_810_0) & $i(all_194_0)
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | ALPHA: (355) implies:
% 106.89/14.47 | | | | | | (356) app(all_91_2, all_160_0) = all_810_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | REDUCE: (349), (356) imply:
% 106.89/14.47 | | | | | | (357) app(all_91_2, nil) = all_810_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | REDUCE: (349), (354) imply:
% 106.89/14.47 | | | | | | (358) app(all_91_2, nil) = all_802_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | REDUCE: (190), (349) imply:
% 106.89/14.47 | | | | | | (359) app(all_91_2, nil) = all_194_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (21) with all_91_2, all_802_0, nil,
% 106.89/14.47 | | | | | | all_91_2, simplifying with (248), (358) gives:
% 106.89/14.47 | | | | | | (360) all_802_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (21) with all_492_0, all_802_0, nil,
% 106.89/14.47 | | | | | | all_91_2, simplifying with (352), (358) gives:
% 106.89/14.47 | | | | | | (361) all_802_0 = all_492_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (21) with all_492_0, all_810_0, nil,
% 106.89/14.47 | | | | | | all_91_2, simplifying with (352), (357) gives:
% 106.89/14.47 | | | | | | (362) all_810_0 = all_492_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | GROUND_INST: instantiating (21) with all_194_0, all_810_0, nil,
% 106.89/14.47 | | | | | | all_91_2, simplifying with (357), (359) gives:
% 106.89/14.47 | | | | | | (363) all_810_0 = all_194_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | COMBINE_EQS: (362), (363) imply:
% 106.89/14.47 | | | | | | (364) all_492_0 = all_194_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | SIMP: (364) implies:
% 106.89/14.47 | | | | | | (365) all_492_0 = all_194_0
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | COMBINE_EQS: (360), (361) imply:
% 106.89/14.47 | | | | | | (366) all_492_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | SIMP: (366) implies:
% 106.89/14.47 | | | | | | (367) all_492_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | COMBINE_EQS: (365), (367) imply:
% 106.89/14.47 | | | | | | (368) all_194_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | SIMP: (368) implies:
% 106.89/14.47 | | | | | | (369) all_194_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | REDUCE: (344), (369) imply:
% 106.89/14.47 | | | | | | (370) $false
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | CLOSE: (370) is inconsistent.
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | Case 2:
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | (371) all_136_0 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | COMBINE_EQS: (146), (371) imply:
% 106.89/14.47 | | | | | | (372) all_91_1 = all_91_2
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | REDUCE: (345), (372) imply:
% 106.89/14.47 | | | | | | (373) $false
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | | CLOSE: (373) is inconsistent.
% 106.89/14.47 | | | | | |
% 106.89/14.47 | | | | | End of split
% 106.89/14.47 | | | | |
% 106.89/14.47 | | | | Case 2:
% 106.89/14.47 | | | | |
% 106.89/14.47 | | | | | (374) all_89_0 = all_89_1
% 106.89/14.47 | | | | |
% 106.89/14.47 | | | | | REDUCE: (23), (374) imply:
% 106.89/14.47 | | | | | (375) $false
% 106.89/14.47 | | | | |
% 106.89/14.47 | | | | | CLOSE: (375) is inconsistent.
% 106.89/14.47 | | | | |
% 106.89/14.47 | | | | End of split
% 106.89/14.47 | | | |
% 106.89/14.47 | | | End of split
% 106.89/14.47 | | |
% 106.89/14.47 | | End of split
% 106.89/14.47 | |
% 106.89/14.47 | End of split
% 106.89/14.47 |
% 106.89/14.47 End of proof
% 106.89/14.47 % SZS output end Proof for theBenchmark
% 106.89/14.47
% 106.89/14.48 13845ms
%------------------------------------------------------------------------------