TSTP Solution File: CSR044+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:36:44 EDT 2023
% Result : Theorem 12.68s 2.44s
% Output : Proof 14.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n031.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 09:08:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.55/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.55/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.55/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.55/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.55/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.55/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.55/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.04/1.12 Prover 4: Preprocessing ...
% 3.04/1.12 Prover 1: Preprocessing ...
% 3.60/1.16 Prover 0: Preprocessing ...
% 3.60/1.16 Prover 6: Preprocessing ...
% 3.60/1.16 Prover 5: Preprocessing ...
% 3.60/1.16 Prover 2: Preprocessing ...
% 3.60/1.16 Prover 3: Preprocessing ...
% 6.23/1.57 Prover 5: Proving ...
% 6.23/1.60 Prover 2: Proving ...
% 7.43/1.70 Prover 1: Warning: ignoring some quantifiers
% 7.43/1.71 Prover 3: Warning: ignoring some quantifiers
% 7.43/1.73 Prover 3: Constructing countermodel ...
% 7.43/1.75 Prover 1: Constructing countermodel ...
% 7.43/1.76 Prover 6: Proving ...
% 8.20/1.86 Prover 4: Constructing countermodel ...
% 8.51/1.89 Prover 0: Proving ...
% 9.78/2.09 Prover 3: gave up
% 9.78/2.10 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.60/2.15 Prover 7: Preprocessing ...
% 11.25/2.22 Prover 1: gave up
% 11.25/2.22 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.25/2.26 Prover 8: Preprocessing ...
% 11.87/2.29 Prover 7: Constructing countermodel ...
% 12.68/2.44 Prover 0: proved (1812ms)
% 12.68/2.44
% 12.68/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.68/2.44
% 12.68/2.45 Prover 5: stopped
% 12.68/2.46 Prover 6: stopped
% 12.68/2.46 Prover 2: stopped
% 12.68/2.47 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.68/2.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.68/2.47 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.68/2.48 Prover 8: Warning: ignoring some quantifiers
% 12.68/2.48 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 13.47/2.51 Prover 10: Preprocessing ...
% 13.47/2.53 Prover 8: Constructing countermodel ...
% 13.47/2.54 Prover 11: Preprocessing ...
% 13.47/2.55 Prover 16: Preprocessing ...
% 13.47/2.55 Prover 13: Preprocessing ...
% 13.47/2.57 Prover 4: Found proof (size 76)
% 13.47/2.57 Prover 4: proved (1942ms)
% 13.47/2.57 Prover 7: stopped
% 13.47/2.57 Prover 8: stopped
% 13.47/2.58 Prover 13: stopped
% 13.47/2.59 Prover 16: stopped
% 13.47/2.59 Prover 10: Constructing countermodel ...
% 14.11/2.60 Prover 10: stopped
% 14.11/2.60 Prover 11: stopped
% 14.11/2.60
% 14.11/2.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.11/2.60
% 14.11/2.62 % SZS output start Proof for theBenchmark
% 14.11/2.62 Assumptions after simplification:
% 14.11/2.62 ---------------------------------
% 14.11/2.62
% 14.11/2.62 (just1)
% 14.11/2.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 14.11/2.65 (f_relationallexistsfn(v0, v2, v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 14.11/2.65 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 14.11/2.65 (relationallexists(v2, v1, v3) = v6 & isa(v4, v3) = v7 & isa(v0, v1) = v5 &
% 14.11/2.65 ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0)))
% 14.11/2.65
% 14.11/2.65 (just10)
% 14.11/2.65 $i(c_tptpcol_16_29490) & $i(c_executionbyfiringsquad) & $i(c_tptp_9_720) &
% 14.11/2.65 $i(c_cyclistsmt) & ? [v0: any] : (mtvisible(c_cyclistsmt) = v0 & ! [v1: $i]
% 14.11/2.65 : ! [v2: $i] : ( ~ (v0 = 0) | ~ (f_relationallexistsfn(v1, c_tptp_9_720,
% 14.11/2.65 c_executionbyfiringsquad, c_tptpcol_16_29490) = v2) | ~ $i(v1) | ?
% 14.11/2.65 [v3: any] : ? [v4: any] : (executionbyfiringsquad(v1) = v3 &
% 14.11/2.65 tptp_9_720(v1, v2) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1: $i] : ( ~
% 14.11/2.65 (v0 = 0) | ~ (executionbyfiringsquad(v1) = 0) | ~ $i(v1) | ? [v2: $i] :
% 14.11/2.65 (tptp_9_720(v1, v2) = 0 & f_relationallexistsfn(v1, c_tptp_9_720,
% 14.11/2.65 c_executionbyfiringsquad, c_tptpcol_16_29490) = v2 & $i(v2))))
% 14.11/2.65
% 14.11/2.65 (just11)
% 14.11/2.65 $i(c_tptpcol_16_29490) & $i(c_executionbyfiringsquad) & $i(c_tptp_9_720) &
% 14.11/2.65 $i(c_cyclistsmt) & ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0
% 14.11/2.65 & relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.11/2.65 c_tptpcol_16_29490) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 14.11/2.65
% 14.11/2.65 (just12)
% 14.11/2.65 executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0 &
% 14.11/2.65 $i(c_tptpexecutionbyfiringsquad_90)
% 14.11/2.65
% 14.11/2.65 (just31)
% 14.11/2.65 $i(c_tptpcol_16_29490) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.11/2.65 (tptpcol_16_29490(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 14.11/2.65 isa(v0, c_tptpcol_16_29490) = v2)) & ! [v0: $i] : ( ~ (isa(v0,
% 14.11/2.65 c_tptpcol_16_29490) = 0) | ~ $i(v0) | tptpcol_16_29490(v0) = 0)
% 14.11/2.65
% 14.11/2.65 (just32)
% 14.11/2.66 $i(c_tptpcol_16_29490) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 14.11/2.66 c_tptpcol_16_29490) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 14.11/2.66 tptpcol_16_29490(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_29490(v0) = 0)
% 14.11/2.66 | ~ $i(v0) | isa(v0, c_tptpcol_16_29490) = 0)
% 14.11/2.66
% 14.11/2.66 (just34)
% 14.11/2.66 $i(c_executionbyfiringsquad) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.11/2.66 (isa(v0, c_executionbyfiringsquad) = v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 14.11/2.66 (v2 = 0) & executionbyfiringsquad(v0) = v2)) & ! [v0: $i] : ( ~
% 14.11/2.66 (executionbyfiringsquad(v0) = 0) | ~ $i(v0) | isa(v0,
% 14.11/2.66 c_executionbyfiringsquad) = 0)
% 14.11/2.66
% 14.11/2.66 (just48)
% 14.11/2.66 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 14.11/2.66 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~
% 14.11/2.66 (v2 = 0) | v3 = 0)))
% 14.11/2.66
% 14.11/2.66 (just6)
% 14.11/2.66 genlmt(c_cyclistsmt, c_calendarsmt) = 0 & $i(c_cyclistsmt) & $i(c_calendarsmt)
% 14.11/2.66
% 14.11/2.66 (just8)
% 14.11/2.66 genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & $i(c_tptp_spindleheadmt) &
% 14.11/2.66 $i(c_cyclistsmt)
% 14.11/2.66
% 14.11/2.66 (just9)
% 14.11/2.66 genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0 &
% 14.11/2.66 $i(c_tptp_member3633_mt) & $i(c_tptp_spindleheadmt)
% 14.11/2.66
% 14.11/2.66 (query44)
% 14.11/2.66 mtvisible(c_tptp_member3633_mt) = 0 & $i(c_tptpexecutionbyfiringsquad_90) &
% 14.11/2.66 $i(c_tptp_member3633_mt) & ! [v0: $i] : ( ~ (tptpcol_16_29490(v0) = 0) | ~
% 14.11/2.66 $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 14.11/2.66 tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = v1)) & ! [v0: $i] : ( ~
% 14.11/2.66 (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0) | ~ $i(v0) | ? [v1:
% 14.11/2.66 int] : ( ~ (v1 = 0) & tptpcol_16_29490(v0) = v1))
% 14.11/2.66
% 14.11/2.66 (function-axioms)
% 14.11/2.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 14.11/2.67 $i] : (v1 = v0 | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v1) | ~
% 14.11/2.67 (f_relationallexistsfn(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 14.11/2.67 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 =
% 14.11/2.67 v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0))
% 14.11/2.67 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 14.11/2.67 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationallexists(v4, v3, v2) = v1) |
% 14.11/2.67 ~ (relationallexists(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.11/2.67 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.11/2.67 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.11/2.67 : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.11/2.67 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & !
% 14.11/2.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 14.11/2.67 $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) =
% 14.11/2.67 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 14.11/2.67 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~
% 14.11/2.67 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.11/2.67 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 14.11/2.67 (tptp_9_720(v3, v2) = v1) | ~ (tptp_9_720(v3, v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.11/2.67 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 14.11/2.67 : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0))
% 14.11/2.67 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 14.11/2.67 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 14.11/2.67 ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0)) &
% 14.11/2.67 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 14.11/2.67 v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0)) & !
% 14.11/2.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 14.11/2.67 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 14.11/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 14.11/2.67 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.11/2.67 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_5_28674(v2) =
% 14.11/2.67 v1) | ~ (tptpcol_5_28674(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.11/2.67 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_16_29490(v2) =
% 14.11/2.67 v1) | ~ (tptpcol_16_29490(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.11/2.67 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) |
% 14.11/2.67 ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.11/2.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 14.11/2.67 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.11/2.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 14.11/2.67 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.11/2.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 14.11/2.67 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 14.11/2.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (executionbyfiringsquad(v2)
% 14.11/2.67 = v1) | ~ (executionbyfiringsquad(v2) = v0)) & ! [v0: MultipleValueBool]
% 14.11/2.67 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 14.11/2.67 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 14.11/2.67 v0))
% 14.11/2.67
% 14.11/2.67 Further assumptions not needed in the proof:
% 14.11/2.67 --------------------------------------------
% 14.11/2.67 just13, just14, just15, just16, just17, just18, just19, just2, just20, just21,
% 14.11/2.67 just22, just23, just24, just25, just26, just27, just28, just29, just3, just30,
% 14.11/2.67 just33, just35, just36, just37, just38, just39, just4, just40, just41, just42,
% 14.11/2.67 just43, just44, just45, just46, just47, just49, just5, just50, just51, just52,
% 14.11/2.67 just53, just54, just55, just56, just57, just58, just59, just60, just61, just62,
% 14.11/2.67 just63, just64, just7
% 14.11/2.67
% 14.11/2.67 Those formulas are unsatisfiable:
% 14.11/2.67 ---------------------------------
% 14.11/2.67
% 14.11/2.67 Begin of proof
% 14.11/2.67 |
% 14.11/2.67 | ALPHA: (just6) implies:
% 14.11/2.67 | (1) $i(c_calendarsmt)
% 14.11/2.67 | (2) genlmt(c_cyclistsmt, c_calendarsmt) = 0
% 14.11/2.67 |
% 14.11/2.67 | ALPHA: (just8) implies:
% 14.11/2.67 | (3) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0
% 14.11/2.67 |
% 14.11/2.67 | ALPHA: (just9) implies:
% 14.11/2.67 | (4) $i(c_tptp_spindleheadmt)
% 14.11/2.67 | (5) genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0
% 14.11/2.67 |
% 14.11/2.67 | ALPHA: (just10) implies:
% 14.11/2.67 | (6) ? [v0: any] : (mtvisible(c_cyclistsmt) = v0 & ! [v1: $i] : ! [v2:
% 14.11/2.67 | $i] : ( ~ (v0 = 0) | ~ (f_relationallexistsfn(v1, c_tptp_9_720,
% 14.11/2.67 | c_executionbyfiringsquad, c_tptpcol_16_29490) = v2) | ~ $i(v1)
% 14.11/2.67 | | ? [v3: any] : ? [v4: any] : (executionbyfiringsquad(v1) = v3 &
% 14.11/2.67 | tptp_9_720(v1, v2) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1: $i]
% 14.11/2.67 | : ( ~ (v0 = 0) | ~ (executionbyfiringsquad(v1) = 0) | ~ $i(v1) | ?
% 14.11/2.67 | [v2: $i] : (tptp_9_720(v1, v2) = 0 & f_relationallexistsfn(v1,
% 14.11/2.67 | c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) =
% 14.11/2.67 | v2 & $i(v2))))
% 14.11/2.67 |
% 14.11/2.67 | ALPHA: (just11) implies:
% 14.11/2.68 | (7) $i(c_cyclistsmt)
% 14.11/2.68 | (8) $i(c_tptp_9_720)
% 14.11/2.68 | (9) ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0 &
% 14.11/2.68 | relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.11/2.68 | c_tptpcol_16_29490) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (just12) implies:
% 14.11/2.68 | (10) executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (just31) implies:
% 14.11/2.68 | (11) ! [v0: $i] : ( ~ (isa(v0, c_tptpcol_16_29490) = 0) | ~ $i(v0) |
% 14.11/2.68 | tptpcol_16_29490(v0) = 0)
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (just32) implies:
% 14.11/2.68 | (12) $i(c_tptpcol_16_29490)
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (just34) implies:
% 14.11/2.68 | (13) $i(c_executionbyfiringsquad)
% 14.11/2.68 | (14) ! [v0: $i] : ( ~ (executionbyfiringsquad(v0) = 0) | ~ $i(v0) |
% 14.11/2.68 | isa(v0, c_executionbyfiringsquad) = 0)
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (query44) implies:
% 14.11/2.68 | (15) $i(c_tptp_member3633_mt)
% 14.11/2.68 | (16) $i(c_tptpexecutionbyfiringsquad_90)
% 14.11/2.68 | (17) mtvisible(c_tptp_member3633_mt) = 0
% 14.11/2.68 | (18) ! [v0: $i] : ( ~ (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) =
% 14.11/2.68 | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 14.11/2.68 | tptpcol_16_29490(v0) = v1))
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (function-axioms) implies:
% 14.11/2.68 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 14.11/2.68 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 14.11/2.68 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 14.11/2.68 | : (v1 = v0 | ~ (tptpcol_16_29490(v2) = v1) | ~ (tptpcol_16_29490(v2)
% 14.11/2.68 | = v0))
% 14.11/2.68 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 14.11/2.68 | : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 14.11/2.68 | v0))
% 14.11/2.68 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 14.11/2.68 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationallexists(v4, v3,
% 14.11/2.68 | v2) = v1) | ~ (relationallexists(v4, v3, v2) = v0))
% 14.11/2.68 |
% 14.11/2.68 | DELTA: instantiating (9) with fresh symbols all_56_0, all_56_1 gives:
% 14.11/2.68 | (23) mtvisible(c_cyclistsmt) = all_56_1 & relationallexists(c_tptp_9_720,
% 14.11/2.68 | c_executionbyfiringsquad, c_tptpcol_16_29490) = all_56_0 & ( ~
% 14.11/2.68 | (all_56_1 = 0) | all_56_0 = 0)
% 14.11/2.68 |
% 14.11/2.68 | ALPHA: (23) implies:
% 14.11/2.68 | (24) relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.11/2.68 | c_tptpcol_16_29490) = all_56_0
% 14.54/2.68 | (25) mtvisible(c_cyclistsmt) = all_56_1
% 14.54/2.68 | (26) ~ (all_56_1 = 0) | all_56_0 = 0
% 14.54/2.68 |
% 14.54/2.68 | DELTA: instantiating (6) with fresh symbol all_58_0 gives:
% 14.55/2.68 | (27) mtvisible(c_cyclistsmt) = all_58_0 & ! [v0: $i] : ! [v1: $i] : ( ~
% 14.55/2.68 | (all_58_0 = 0) | ~ (f_relationallexistsfn(v0, c_tptp_9_720,
% 14.55/2.68 | c_executionbyfiringsquad, c_tptpcol_16_29490) = v1) | ~ $i(v0)
% 14.55/2.68 | | ? [v2: any] : ? [v3: any] : (executionbyfiringsquad(v0) = v2 &
% 14.55/2.68 | tptp_9_720(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: $i] :
% 14.55/2.68 | ( ~ (all_58_0 = 0) | ~ (executionbyfiringsquad(v0) = 0) | ~ $i(v0) |
% 14.55/2.68 | ? [v1: $i] : (tptp_9_720(v0, v1) = 0 & f_relationallexistsfn(v0,
% 14.55/2.68 | c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v1
% 14.55/2.68 | & $i(v1)))
% 14.55/2.68 |
% 14.55/2.68 | ALPHA: (27) implies:
% 14.55/2.68 | (28) mtvisible(c_cyclistsmt) = all_58_0
% 14.55/2.68 | (29) ! [v0: $i] : ( ~ (all_58_0 = 0) | ~ (executionbyfiringsquad(v0) = 0)
% 14.55/2.68 | | ~ $i(v0) | ? [v1: $i] : (tptp_9_720(v0, v1) = 0 &
% 14.55/2.68 | f_relationallexistsfn(v0, c_tptp_9_720, c_executionbyfiringsquad,
% 14.55/2.68 | c_tptpcol_16_29490) = v1 & $i(v1)))
% 14.55/2.68 |
% 14.55/2.69 | GROUND_INST: instantiating (19) with all_56_1, all_58_0, c_cyclistsmt,
% 14.55/2.69 | simplifying with (25), (28) gives:
% 14.55/2.69 | (30) all_58_0 = all_56_1
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (just48) with c_cyclistsmt, c_calendarsmt,
% 14.55/2.69 | simplifying with (1), (2), (7) gives:
% 14.55/2.69 | (31) ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0 &
% 14.55/2.69 | mtvisible(c_calendarsmt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (just48) with c_tptp_spindleheadmt, c_cyclistsmt,
% 14.55/2.69 | simplifying with (3), (4), (7) gives:
% 14.55/2.69 | (32) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 &
% 14.55/2.69 | mtvisible(c_cyclistsmt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (just48) with c_tptp_member3633_mt,
% 14.55/2.69 | c_tptp_spindleheadmt, simplifying with (4), (5), (15) gives:
% 14.55/2.69 | (33) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3633_mt) = v0 &
% 14.55/2.69 | mtvisible(c_tptp_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (29) with c_tptpexecutionbyfiringsquad_90,
% 14.55/2.69 | simplifying with (10), (16) gives:
% 14.55/2.69 | (34) ~ (all_58_0 = 0) | ? [v0: $i] :
% 14.55/2.69 | (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0 &
% 14.55/2.69 | f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720,
% 14.55/2.69 | c_executionbyfiringsquad, c_tptpcol_16_29490) = v0 & $i(v0))
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (14) with c_tptpexecutionbyfiringsquad_90,
% 14.55/2.69 | simplifying with (10), (16) gives:
% 14.55/2.69 | (35) isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = 0
% 14.55/2.69 |
% 14.55/2.69 | DELTA: instantiating (32) with fresh symbols all_71_0, all_71_1 gives:
% 14.55/2.69 | (36) mtvisible(c_tptp_spindleheadmt) = all_71_1 & mtvisible(c_cyclistsmt) =
% 14.55/2.69 | all_71_0 & ( ~ (all_71_1 = 0) | all_71_0 = 0)
% 14.55/2.69 |
% 14.55/2.69 | ALPHA: (36) implies:
% 14.55/2.69 | (37) mtvisible(c_cyclistsmt) = all_71_0
% 14.55/2.69 | (38) mtvisible(c_tptp_spindleheadmt) = all_71_1
% 14.55/2.69 | (39) ~ (all_71_1 = 0) | all_71_0 = 0
% 14.55/2.69 |
% 14.55/2.69 | DELTA: instantiating (33) with fresh symbols all_73_0, all_73_1 gives:
% 14.55/2.69 | (40) mtvisible(c_tptp_member3633_mt) = all_73_1 &
% 14.55/2.69 | mtvisible(c_tptp_spindleheadmt) = all_73_0 & ( ~ (all_73_1 = 0) |
% 14.55/2.69 | all_73_0 = 0)
% 14.55/2.69 |
% 14.55/2.69 | ALPHA: (40) implies:
% 14.55/2.69 | (41) mtvisible(c_tptp_spindleheadmt) = all_73_0
% 14.55/2.69 | (42) mtvisible(c_tptp_member3633_mt) = all_73_1
% 14.55/2.69 | (43) ~ (all_73_1 = 0) | all_73_0 = 0
% 14.55/2.69 |
% 14.55/2.69 | DELTA: instantiating (31) with fresh symbols all_75_0, all_75_1 gives:
% 14.55/2.69 | (44) mtvisible(c_cyclistsmt) = all_75_1 & mtvisible(c_calendarsmt) =
% 14.55/2.69 | all_75_0 & ( ~ (all_75_1 = 0) | all_75_0 = 0)
% 14.55/2.69 |
% 14.55/2.69 | ALPHA: (44) implies:
% 14.55/2.69 | (45) mtvisible(c_cyclistsmt) = all_75_1
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (19) with all_56_1, all_75_1, c_cyclistsmt,
% 14.55/2.69 | simplifying with (25), (45) gives:
% 14.55/2.69 | (46) all_75_1 = all_56_1
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (19) with all_71_0, all_75_1, c_cyclistsmt,
% 14.55/2.69 | simplifying with (37), (45) gives:
% 14.55/2.69 | (47) all_75_1 = all_71_0
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (19) with all_71_1, all_73_0, c_tptp_spindleheadmt,
% 14.55/2.69 | simplifying with (38), (41) gives:
% 14.55/2.69 | (48) all_73_0 = all_71_1
% 14.55/2.69 |
% 14.55/2.69 | GROUND_INST: instantiating (19) with 0, all_73_1, c_tptp_member3633_mt,
% 14.55/2.69 | simplifying with (17), (42) gives:
% 14.55/2.69 | (49) all_73_1 = 0
% 14.55/2.69 |
% 14.55/2.69 | COMBINE_EQS: (46), (47) imply:
% 14.55/2.69 | (50) all_71_0 = all_56_1
% 14.55/2.69 |
% 14.55/2.69 | SIMP: (50) implies:
% 14.55/2.69 | (51) all_71_0 = all_56_1
% 14.55/2.69 |
% 14.55/2.69 | BETA: splitting (43) gives:
% 14.55/2.69 |
% 14.55/2.69 | Case 1:
% 14.55/2.69 | |
% 14.55/2.69 | | (52) ~ (all_73_1 = 0)
% 14.55/2.69 | |
% 14.55/2.69 | | REDUCE: (49), (52) imply:
% 14.55/2.69 | | (53) $false
% 14.55/2.70 | |
% 14.55/2.70 | | CLOSE: (53) is inconsistent.
% 14.55/2.70 | |
% 14.55/2.70 | Case 2:
% 14.55/2.70 | |
% 14.55/2.70 | | (54) all_73_0 = 0
% 14.55/2.70 | |
% 14.55/2.70 | | COMBINE_EQS: (48), (54) imply:
% 14.55/2.70 | | (55) all_71_1 = 0
% 14.55/2.70 | |
% 14.55/2.70 | | SIMP: (55) implies:
% 14.55/2.70 | | (56) all_71_1 = 0
% 14.55/2.70 | |
% 14.55/2.70 | | BETA: splitting (39) gives:
% 14.55/2.70 | |
% 14.55/2.70 | | Case 1:
% 14.55/2.70 | | |
% 14.55/2.70 | | | (57) ~ (all_71_1 = 0)
% 14.55/2.70 | | |
% 14.55/2.70 | | | REDUCE: (56), (57) imply:
% 14.55/2.70 | | | (58) $false
% 14.55/2.70 | | |
% 14.55/2.70 | | | CLOSE: (58) is inconsistent.
% 14.55/2.70 | | |
% 14.55/2.70 | | Case 2:
% 14.55/2.70 | | |
% 14.55/2.70 | | | (59) all_71_0 = 0
% 14.55/2.70 | | |
% 14.55/2.70 | | | COMBINE_EQS: (51), (59) imply:
% 14.61/2.70 | | | (60) all_56_1 = 0
% 14.61/2.70 | | |
% 14.61/2.70 | | | SIMP: (60) implies:
% 14.61/2.70 | | | (61) all_56_1 = 0
% 14.61/2.70 | | |
% 14.61/2.70 | | | COMBINE_EQS: (30), (61) imply:
% 14.61/2.70 | | | (62) all_58_0 = 0
% 14.61/2.70 | | |
% 14.61/2.70 | | | BETA: splitting (26) gives:
% 14.61/2.70 | | |
% 14.61/2.70 | | | Case 1:
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | (63) ~ (all_56_1 = 0)
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | REDUCE: (61), (63) imply:
% 14.61/2.70 | | | | (64) $false
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | CLOSE: (64) is inconsistent.
% 14.61/2.70 | | | |
% 14.61/2.70 | | | Case 2:
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | (65) all_56_0 = 0
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | REDUCE: (24), (65) imply:
% 14.61/2.70 | | | | (66) relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.61/2.70 | | | | c_tptpcol_16_29490) = 0
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | BETA: splitting (34) gives:
% 14.61/2.70 | | | |
% 14.61/2.70 | | | | Case 1:
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | (67) ~ (all_58_0 = 0)
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | REDUCE: (62), (67) imply:
% 14.61/2.70 | | | | | (68) $false
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | CLOSE: (68) is inconsistent.
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | Case 2:
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | (69) ? [v0: $i] : (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0)
% 14.61/2.70 | | | | | = 0 & f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,
% 14.61/2.70 | | | | | c_tptp_9_720, c_executionbyfiringsquad,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = v0 & $i(v0))
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | DELTA: instantiating (69) with fresh symbol all_104_0 gives:
% 14.61/2.70 | | | | | (70) tptp_9_720(c_tptpexecutionbyfiringsquad_90, all_104_0) = 0 &
% 14.61/2.70 | | | | | f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,
% 14.61/2.70 | | | | | c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490)
% 14.61/2.70 | | | | | = all_104_0 & $i(all_104_0)
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | ALPHA: (70) implies:
% 14.61/2.70 | | | | | (71) $i(all_104_0)
% 14.61/2.70 | | | | | (72) f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,
% 14.61/2.70 | | | | | c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490)
% 14.61/2.70 | | | | | = all_104_0
% 14.61/2.70 | | | | | (73) tptp_9_720(c_tptpexecutionbyfiringsquad_90, all_104_0) = 0
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | GROUND_INST: instantiating (just1) with
% 14.61/2.70 | | | | | c_tptpexecutionbyfiringsquad_90,
% 14.61/2.70 | | | | | c_executionbyfiringsquad, c_tptp_9_720,
% 14.61/2.70 | | | | | c_tptpcol_16_29490, all_104_0, simplifying with (8),
% 14.61/2.70 | | | | | (12), (13), (16), (72) gives:
% 14.61/2.70 | | | | | (74) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 14.61/2.70 | | | | | (relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = v1 & isa(all_104_0,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = v2 &
% 14.61/2.70 | | | | | isa(c_tptpexecutionbyfiringsquad_90,
% 14.61/2.70 | | | | | c_executionbyfiringsquad) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 14.61/2.70 | | | | | 0) | v2 = 0))
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | GROUND_INST: instantiating (18) with all_104_0, simplifying with (71),
% 14.61/2.70 | | | | | (73) gives:
% 14.61/2.70 | | | | | (75) ? [v0: int] : ( ~ (v0 = 0) & tptpcol_16_29490(all_104_0) =
% 14.61/2.70 | | | | | v0)
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | DELTA: instantiating (75) with fresh symbol all_120_0 gives:
% 14.61/2.70 | | | | | (76) ~ (all_120_0 = 0) & tptpcol_16_29490(all_104_0) = all_120_0
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | ALPHA: (76) implies:
% 14.61/2.70 | | | | | (77) ~ (all_120_0 = 0)
% 14.61/2.70 | | | | | (78) tptpcol_16_29490(all_104_0) = all_120_0
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | DELTA: instantiating (74) with fresh symbols all_122_0, all_122_1,
% 14.61/2.70 | | | | | all_122_2 gives:
% 14.61/2.70 | | | | | (79) relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = all_122_1 & isa(all_104_0,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = all_122_0 &
% 14.61/2.70 | | | | | isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad)
% 14.61/2.70 | | | | | = all_122_2 & ( ~ (all_122_1 = 0) | ~ (all_122_2 = 0) |
% 14.61/2.70 | | | | | all_122_0 = 0)
% 14.61/2.70 | | | | |
% 14.61/2.70 | | | | | ALPHA: (79) implies:
% 14.61/2.70 | | | | | (80) isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad)
% 14.61/2.70 | | | | | = all_122_2
% 14.61/2.70 | | | | | (81) isa(all_104_0, c_tptpcol_16_29490) = all_122_0
% 14.61/2.70 | | | | | (82) relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 14.61/2.70 | | | | | c_tptpcol_16_29490) = all_122_1
% 14.61/2.71 | | | | | (83) ~ (all_122_1 = 0) | ~ (all_122_2 = 0) | all_122_0 = 0
% 14.61/2.71 | | | | |
% 14.61/2.71 | | | | | GROUND_INST: instantiating (21) with 0, all_122_2,
% 14.61/2.71 | | | | | c_executionbyfiringsquad,
% 14.61/2.71 | | | | | c_tptpexecutionbyfiringsquad_90, simplifying with (35),
% 14.61/2.71 | | | | | (80) gives:
% 14.61/2.71 | | | | | (84) all_122_2 = 0
% 14.61/2.71 | | | | |
% 14.61/2.71 | | | | | GROUND_INST: instantiating (22) with 0, all_122_1, c_tptpcol_16_29490,
% 14.61/2.71 | | | | | c_executionbyfiringsquad, c_tptp_9_720, simplifying with
% 14.61/2.71 | | | | | (66), (82) gives:
% 14.61/2.71 | | | | | (85) all_122_1 = 0
% 14.61/2.71 | | | | |
% 14.61/2.71 | | | | | BETA: splitting (83) gives:
% 14.61/2.71 | | | | |
% 14.61/2.71 | | | | | Case 1:
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | (86) ~ (all_122_1 = 0)
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | REDUCE: (85), (86) imply:
% 14.61/2.71 | | | | | | (87) $false
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | CLOSE: (87) is inconsistent.
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | Case 2:
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | (88) ~ (all_122_2 = 0) | all_122_0 = 0
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | BETA: splitting (88) gives:
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | | Case 1:
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | (89) ~ (all_122_2 = 0)
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | REDUCE: (84), (89) imply:
% 14.61/2.71 | | | | | | | (90) $false
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | CLOSE: (90) is inconsistent.
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | Case 2:
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | (91) all_122_0 = 0
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | REDUCE: (81), (91) imply:
% 14.61/2.71 | | | | | | | (92) isa(all_104_0, c_tptpcol_16_29490) = 0
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | GROUND_INST: instantiating (11) with all_104_0, simplifying with
% 14.61/2.71 | | | | | | | (71), (92) gives:
% 14.61/2.71 | | | | | | | (93) tptpcol_16_29490(all_104_0) = 0
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | GROUND_INST: instantiating (20) with all_120_0, 0, all_104_0,
% 14.61/2.71 | | | | | | | simplifying with (78), (93) gives:
% 14.61/2.71 | | | | | | | (94) all_120_0 = 0
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | REDUCE: (77), (94) imply:
% 14.61/2.71 | | | | | | | (95) $false
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | | CLOSE: (95) is inconsistent.
% 14.61/2.71 | | | | | | |
% 14.61/2.71 | | | | | | End of split
% 14.61/2.71 | | | | | |
% 14.61/2.71 | | | | | End of split
% 14.61/2.71 | | | | |
% 14.68/2.71 | | | | End of split
% 14.68/2.71 | | | |
% 14.68/2.71 | | | End of split
% 14.68/2.71 | | |
% 14.68/2.71 | | End of split
% 14.68/2.71 | |
% 14.68/2.71 | End of split
% 14.68/2.71 |
% 14.68/2.71 End of proof
% 14.68/2.71 % SZS output end Proof for theBenchmark
% 14.68/2.71
% 14.68/2.71 2099ms
%------------------------------------------------------------------------------