TSTP Solution File: CSR027+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR027+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 : n007.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 21:36:28 EDT 2023
% Result : Theorem 12.21s 3.42s
% Output : Proof 15.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 09:49:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.64 ________ _____
% 0.20/0.64 ___ __ \_________(_)________________________________
% 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.64
% 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.64 (2023-06-19)
% 0.20/0.64
% 0.20/0.64 (c) Philipp Rümmer, 2009-2023
% 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.64 Amanda Stjerna.
% 0.20/0.64 Free software under BSD-3-Clause.
% 0.20/0.64
% 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.64
% 0.20/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.65 Running up to 7 provers in parallel.
% 0.73/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.73/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.73/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.73/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.73/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.73/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.73/0.71 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.84/1.31 Prover 1: Preprocessing ...
% 2.84/1.31 Prover 4: Preprocessing ...
% 3.16/1.39 Prover 3: Preprocessing ...
% 3.16/1.39 Prover 6: Preprocessing ...
% 3.16/1.39 Prover 0: Preprocessing ...
% 3.16/1.39 Prover 5: Preprocessing ...
% 3.16/1.39 Prover 2: Preprocessing ...
% 6.05/2.08 Prover 5: Proving ...
% 6.05/2.08 Prover 2: Proving ...
% 6.87/2.27 Prover 6: Proving ...
% 7.30/2.32 Prover 3: Warning: ignoring some quantifiers
% 7.30/2.32 Prover 1: Warning: ignoring some quantifiers
% 7.30/2.36 Prover 3: Constructing countermodel ...
% 7.30/2.36 Prover 1: Constructing countermodel ...
% 7.30/2.42 Prover 0: Proving ...
% 7.30/2.47 Prover 4: Constructing countermodel ...
% 9.24/2.73 Prover 3: gave up
% 9.24/2.76 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.70/2.83 Prover 7: Preprocessing ...
% 10.64/3.08 Prover 7: Constructing countermodel ...
% 11.15/3.10 Prover 1: gave up
% 11.15/3.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.67/3.21 Prover 8: Preprocessing ...
% 12.21/3.42 Prover 0: proved (2755ms)
% 12.21/3.42
% 12.21/3.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.21/3.42
% 12.21/3.43 Prover 5: stopped
% 12.21/3.43 Prover 2: stopped
% 12.21/3.45 Prover 6: stopped
% 12.93/3.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.93/3.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.93/3.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.93/3.46 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 13.37/3.56 Prover 11: Preprocessing ...
% 13.38/3.57 Prover 10: Preprocessing ...
% 13.38/3.59 Prover 16: Preprocessing ...
% 13.38/3.59 Prover 13: Preprocessing ...
% 13.58/3.61 Prover 8: Warning: ignoring some quantifiers
% 13.78/3.65 Prover 10: Constructing countermodel ...
% 13.78/3.65 Prover 8: Constructing countermodel ...
% 13.78/3.72 Prover 16: Warning: ignoring some quantifiers
% 14.33/3.74 Prover 16: Constructing countermodel ...
% 14.33/3.76 Prover 13: Warning: ignoring some quantifiers
% 14.33/3.77 Prover 13: Constructing countermodel ...
% 14.96/3.91 Prover 4: Found proof (size 89)
% 14.96/3.91 Prover 4: proved (3226ms)
% 14.96/3.91 Prover 13: stopped
% 14.96/3.91 Prover 16: stopped
% 14.96/3.91 Prover 8: stopped
% 14.96/3.91 Prover 7: stopped
% 14.96/3.92 Prover 10: stopped
% 14.96/3.93 Prover 11: Constructing countermodel ...
% 14.96/3.94 Prover 11: stopped
% 14.96/3.95
% 14.96/3.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.96/3.95
% 15.40/3.97 % SZS output start Proof for theBenchmark
% 15.40/3.97 Assumptions after simplification:
% 15.40/3.97 ---------------------------------
% 15.40/3.97
% 15.40/3.97 (just1)
% 15.53/4.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 15.53/4.01 (f_relationallexistsfn(v0, v2, v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 15.53/4.01 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 15.53/4.01 (relationallexists(v2, v1, v3) = v6 & isa(v4, v3) = v7 & isa(v0, v1) = v5 &
% 15.53/4.01 ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0)))
% 15.53/4.01
% 15.53/4.01 (just11)
% 15.53/4.01 genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0 &
% 15.53/4.01 $i(c_tptp_member3993_mt) & $i(c_tptp_spindlecollectormt)
% 15.53/4.01
% 15.53/4.01 (just12)
% 15.53/4.01 $i(c_tptpcol_16_31868) & $i(c_tptp_8_875) & $i(c_movement_translationevent) &
% 15.53/4.01 $i(c_directionoftranslation_throughout) & $i(c_unitvectorinterval) &
% 15.53/4.01 $i(c_tptp_member2610_mt) & ? [v0: any] : ? [v1: $i] :
% 15.53/4.01 (mtvisible(c_tptp_member2610_mt) = v0 &
% 15.53/4.01 f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.53/4.01 c_directionoftranslation_throughout, c_movement_translationevent) = v1 &
% 15.53/4.01 $i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ (v0 = 0) | ~
% 15.53/4.01 (f_relationallexistsfn(v2, c_tptp_8_875, v1, c_tptpcol_16_31868) = v3) |
% 15.53/4.01 ~ $i(v2) | ? [v4: any] : ? [v5: any] : (tptp_8_875(v2, v3) = v5 &
% 15.53/4.01 isa(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2: $i] : ( ~ (v0 = 0)
% 15.53/4.01 | ~ (isa(v2, v1) = 0) | ~ $i(v2) | ? [v3: $i] : (tptp_8_875(v2, v3) = 0
% 15.53/4.01 & f_relationallexistsfn(v2, c_tptp_8_875, v1, c_tptpcol_16_31868) = v3 &
% 15.53/4.01 $i(v3))))
% 15.53/4.01
% 15.53/4.01 (just13)
% 15.53/4.02 $i(c_tptpcol_16_31868) & $i(c_tptp_8_875) & $i(c_movement_translationevent) &
% 15.53/4.02 $i(c_directionoftranslation_throughout) & $i(c_unitvectorinterval) &
% 15.53/4.02 $i(c_tptp_member2610_mt) & ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 15.53/4.02 (mtvisible(c_tptp_member2610_mt) = v0 &
% 15.53/4.02 f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.53/4.02 c_directionoftranslation_throughout, c_movement_translationevent) = v1 &
% 15.53/4.02 relationallexists(c_tptp_8_875, v1, c_tptpcol_16_31868) = v2 & $i(v1) & ( ~
% 15.53/4.02 (v0 = 0) | v2 = 0))
% 15.53/4.02
% 15.53/4.02 (just14)
% 15.53/4.02 $i(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)
% 15.53/4.02 & $i(c_movement_translationevent) & $i(c_directionoftranslation_throughout) &
% 15.53/4.02 $i(c_unitvectorinterval) & ? [v0: $i] :
% 15.53/4.02 (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.53/4.02 c_directionoftranslation_throughout, c_movement_translationevent) = v0 &
% 15.53/4.02 isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.53/4.02 v0) = 0 & $i(v0))
% 15.53/4.02
% 15.53/4.02 (just34)
% 15.53/4.02 $i(c_tptpcol_16_31868) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 15.53/4.02 (tptpcol_16_31868(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 15.53/4.02 isa(v0, c_tptpcol_16_31868) = v2)) & ! [v0: $i] : ( ~ (isa(v0,
% 15.53/4.02 c_tptpcol_16_31868) = 0) | ~ $i(v0) | tptpcol_16_31868(v0) = 0)
% 15.53/4.02
% 15.53/4.02 (just35)
% 15.53/4.02 $i(c_tptpcol_16_31868) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 15.53/4.02 c_tptpcol_16_31868) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 15.53/4.02 tptpcol_16_31868(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_31868(v0) = 0)
% 15.53/4.02 | ~ $i(v0) | isa(v0, c_tptpcol_16_31868) = 0)
% 15.53/4.02
% 15.53/4.02 (just48)
% 15.53/4.02 $i(c_movement_translationevent) & $i(c_directionoftranslation_throughout) &
% 15.53/4.02 $i(c_unitvectorinterval) & ? [v0: $i] :
% 15.53/4.02 (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.53/4.02 c_directionoftranslation_throughout, c_movement_translationevent) = v0 &
% 15.53/4.02 $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 15.53/4.02 (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.53/4.03 = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) = v3)) &
% 15.53/4.03 ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) |
% 15.53/4.03 subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.53/4.03 = 0))
% 15.53/4.03
% 15.53/4.03 (just49)
% 15.53/4.03 $i(c_movement_translationevent) & $i(c_directionoftranslation_throughout) &
% 15.53/4.03 $i(c_unitvectorinterval) & ? [v0: $i] :
% 15.53/4.03 (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.53/4.03 c_directionoftranslation_throughout, c_movement_translationevent) = v0 &
% 15.53/4.03 $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~
% 15.53/4.03 $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 15.53/4.03 subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.53/4.03 = v3)) & ! [v1: $i] : ( ~
% 15.53/4.03 (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.53/4.03 = 0) | ~ $i(v1) | isa(v1, v0) = 0))
% 15.53/4.03
% 15.53/4.03 (just63)
% 15.53/4.03 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 15.53/4.03 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~
% 15.53/4.03 (v2 = 0) | v3 = 0)))
% 15.53/4.03
% 15.53/4.03 (just9)
% 15.53/4.03 genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt) = 0 &
% 15.53/4.03 $i(c_tptp_member2610_mt) & $i(c_tptp_spindlecollectormt)
% 15.53/4.03
% 15.53/4.03 (query27)
% 15.53/4.03 mtvisible(c_tptp_spindlecollectormt) = 0 &
% 15.53/4.03 $i(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)
% 15.53/4.03 & $i(c_tptp_spindlecollectormt) & ! [v0: $i] : ( ~ (tptpcol_16_31868(v0) = 0)
% 15.53/4.03 | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 15.53/4.03 tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.53/4.03 v0) = v1)) & ! [v0: $i] : ( ~
% 15.53/4.03 (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.53/4.03 v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 15.53/4.03 tptpcol_16_31868(v0) = v1))
% 15.53/4.03
% 15.53/4.03 (function-axioms)
% 15.70/4.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 15.70/4.04 $i] : (v1 = v0 | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v1) | ~
% 15.70/4.04 (f_relationallexistsfn(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 15.70/4.04 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 =
% 15.70/4.04 v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0))
% 15.70/4.04 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 =
% 15.70/4.04 v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~
% 15.70/4.04 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : ! [v4: $i] : (v1 = v0 | ~ (relationallexists(v4, v3, v2) = v1) | ~
% 15.70/4.04 (relationallexists(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 15.70/4.04 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 15.70/4.04 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : (v1 = v0 | ~ (subevents(v3, v2) = v1) | ~ (subevents(v3, v2) = v0)) & !
% 15.70/4.04 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 15.70/4.04 $i] : (v1 = v0 | ~ (directionoftranslation_throughout(v3, v2) = v1) | ~
% 15.70/4.04 (directionoftranslation_throughout(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & !
% 15.70/4.04 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 15.70/4.04 $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) =
% 15.70/4.04 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 15.70/4.04 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~
% 15.70/4.04 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 15.70/4.04 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 15.70/4.04 (tptp_8_875(v3, v2) = v1) | ~ (tptp_8_875(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 15.70/4.04 : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0))
% 15.70/4.04 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 15.70/4.04 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 15.70/4.04 ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0)) &
% 15.70/4.04 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 15.70/4.04 v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0)) & !
% 15.70/4.04 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 15.70/4.04 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 15.70/4.04 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 15.70/4.04 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_4_24578(v2) =
% 15.70/4.04 v1) | ~ (tptpcol_4_24578(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 15.70/4.04 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (unitvectorinterval(v2)
% 15.70/4.04 = v1) | ~ (unitvectorinterval(v2) = v0)) & ! [v0: MultipleValueBool] :
% 15.70/4.04 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 15.70/4.04 (movement_translationevent(v2) = v1) | ~ (movement_translationevent(v2) =
% 15.70/4.04 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 15.70/4.04 $i] : (v1 = v0 | ~ (tptpcol_16_31868(v2) = v1) | ~ (tptpcol_16_31868(v2) =
% 15.70/4.04 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 15.70/4.04 $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & !
% 15.70/4.04 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 15.70/4.04 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 15.70/4.04 ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0)) & ! [v0:
% 15.70/4.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 15.70/4.04 ~
% 15.70/4.04 (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v2)
% 15.70/4.04 = v1) | ~
% 15.70/4.04 (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v2)
% 15.70/4.04 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 15.70/4.04 $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & !
% 15.70/4.04 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 15.70/4.05 | ~ (transitivebinarypredicate(v2) = v1) | ~
% 15.70/4.05 (transitivebinarypredicate(v2) = v0))
% 15.70/4.05
% 15.70/4.05 Further assumptions not needed in the proof:
% 15.70/4.05 --------------------------------------------
% 15.70/4.05 just10, just15, just16, just17, just18, just19, just2, just20, just21, just22,
% 15.70/4.05 just23, just24, just25, just26, just27, just28, just29, just3, just30, just31,
% 15.70/4.05 just32, just33, just36, just37, just38, just39, just4, just40, just41, just42,
% 15.70/4.05 just43, just44, just45, just46, just47, just5, just50, just51, just52, just53,
% 15.70/4.05 just54, just55, just56, just57, just58, just59, just6, just60, just61, just62,
% 15.70/4.05 just64, just65, just66, just67, just68, just69, just7, just70, just71, just72,
% 15.70/4.05 just73, just74, just75, just76, just77, just78, just79, just8
% 15.70/4.05
% 15.70/4.05 Those formulas are unsatisfiable:
% 15.70/4.05 ---------------------------------
% 15.70/4.05
% 15.70/4.05 Begin of proof
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just9) implies:
% 15.70/4.05 | (1) genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt) = 0
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just11) implies:
% 15.70/4.05 | (2) $i(c_tptp_member3993_mt)
% 15.70/4.05 | (3) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just12) implies:
% 15.70/4.05 | (4) ? [v0: any] : ? [v1: $i] : (mtvisible(c_tptp_member2610_mt) = v0 &
% 15.70/4.05 | f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.05 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.05 | v1 & $i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ (v0 = 0) | ~
% 15.70/4.05 | (f_relationallexistsfn(v2, c_tptp_8_875, v1, c_tptpcol_16_31868) =
% 15.70/4.05 | v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] : (tptp_8_875(v2,
% 15.70/4.05 | v3) = v5 & isa(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & !
% 15.70/4.05 | [v2: $i] : ( ~ (v0 = 0) | ~ (isa(v2, v1) = 0) | ~ $i(v2) | ? [v3:
% 15.70/4.05 | $i] : (tptp_8_875(v2, v3) = 0 & f_relationallexistsfn(v2,
% 15.70/4.05 | c_tptp_8_875, v1, c_tptpcol_16_31868) = v3 & $i(v3))))
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just13) implies:
% 15.70/4.05 | (5) $i(c_tptp_member2610_mt)
% 15.70/4.05 | (6) $i(c_tptp_8_875)
% 15.70/4.05 | (7) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 15.70/4.05 | (mtvisible(c_tptp_member2610_mt) = v0 &
% 15.70/4.05 | f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.05 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.05 | v1 & relationallexists(c_tptp_8_875, v1, c_tptpcol_16_31868) = v2 &
% 15.70/4.05 | $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just14) implies:
% 15.70/4.05 | (8) ? [v0: $i] :
% 15.70/4.05 | (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.05 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.05 | v0 &
% 15.70/4.05 | isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.70/4.05 | v0) = 0 & $i(v0))
% 15.70/4.05 |
% 15.70/4.05 | ALPHA: (just34) implies:
% 15.70/4.06 | (9) ! [v0: $i] : ( ~ (isa(v0, c_tptpcol_16_31868) = 0) | ~ $i(v0) |
% 15.70/4.06 | tptpcol_16_31868(v0) = 0)
% 15.70/4.06 |
% 15.70/4.06 | ALPHA: (just35) implies:
% 15.70/4.06 | (10) $i(c_tptpcol_16_31868)
% 15.70/4.06 |
% 15.70/4.06 | ALPHA: (just48) implies:
% 15.70/4.06 | (11) ? [v0: $i] :
% 15.70/4.06 | (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.06 | c_directionoftranslation_throughout, c_movement_translationevent)
% 15.70/4.06 | = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 15.70/4.06 | (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.70/4.06 | = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) =
% 15.70/4.06 | v3)) & ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) |
% 15.70/4.06 | subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.70/4.06 | = 0))
% 15.70/4.06 |
% 15.70/4.06 | ALPHA: (just49) implies:
% 15.70/4.06 | (12) ? [v0: $i] :
% 15.70/4.06 | (f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.06 | c_directionoftranslation_throughout, c_movement_translationevent)
% 15.70/4.06 | = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (isa(v1,
% 15.70/4.06 | v0) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 15.70/4.06 | subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.70/4.06 | = v3)) & ! [v1: $i] : ( ~
% 15.70/4.06 | (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v1)
% 15.70/4.06 | = 0) | ~ $i(v1) | isa(v1, v0) = 0))
% 15.70/4.06 |
% 15.70/4.06 | ALPHA: (query27) implies:
% 15.70/4.06 | (13) $i(c_tptp_spindlecollectormt)
% 15.70/4.06 | (14) $i(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)
% 15.70/4.06 | (15) mtvisible(c_tptp_spindlecollectormt) = 0
% 15.70/4.06 | (16) ! [v0: $i] : ( ~
% 15.70/4.06 | (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.70/4.06 | v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 15.70/4.06 | tptpcol_16_31868(v0) = v1))
% 15.70/4.06 |
% 15.70/4.06 | ALPHA: (function-axioms) implies:
% 15.70/4.06 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 15.70/4.06 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 15.70/4.06 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 15.70/4.06 | : (v1 = v0 | ~ (tptpcol_16_31868(v2) = v1) | ~ (tptpcol_16_31868(v2)
% 15.70/4.06 | = v0))
% 15.70/4.06 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 15.70/4.06 | : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 15.70/4.06 | v0))
% 15.70/4.06 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 15.70/4.06 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationallexists(v4, v3,
% 15.70/4.06 | v2) = v1) | ~ (relationallexists(v4, v3, v2) = v0))
% 15.70/4.06 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 15.70/4.06 | (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 15.70/4.07 | v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 15.70/4.07 | v0))
% 15.70/4.07 |
% 15.70/4.07 | DELTA: instantiating (8) with fresh symbol all_66_0 gives:
% 15.70/4.07 | (22) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_66_0 &
% 15.70/4.07 | isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.70/4.07 | all_66_0) = 0 & $i(all_66_0)
% 15.70/4.07 |
% 15.70/4.07 | ALPHA: (22) implies:
% 15.70/4.07 | (23) isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.70/4.07 | all_66_0) = 0
% 15.70/4.07 | (24) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_66_0
% 15.70/4.07 |
% 15.70/4.07 | DELTA: instantiating (7) with fresh symbols all_68_0, all_68_1, all_68_2
% 15.70/4.07 | gives:
% 15.70/4.07 | (25) mtvisible(c_tptp_member2610_mt) = all_68_2 &
% 15.70/4.07 | f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_68_1 & relationallexists(c_tptp_8_875, all_68_1,
% 15.70/4.07 | c_tptpcol_16_31868) = all_68_0 & $i(all_68_1) & ( ~ (all_68_2 = 0) |
% 15.70/4.07 | all_68_0 = 0)
% 15.70/4.07 |
% 15.70/4.07 | ALPHA: (25) implies:
% 15.70/4.07 | (26) $i(all_68_1)
% 15.70/4.07 | (27) relationallexists(c_tptp_8_875, all_68_1, c_tptpcol_16_31868) =
% 15.70/4.07 | all_68_0
% 15.70/4.07 | (28) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_68_1
% 15.70/4.07 | (29) mtvisible(c_tptp_member2610_mt) = all_68_2
% 15.70/4.07 | (30) ~ (all_68_2 = 0) | all_68_0 = 0
% 15.70/4.07 |
% 15.70/4.07 | DELTA: instantiating (11) with fresh symbol all_70_0 gives:
% 15.70/4.07 | (31) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_70_0 & $i(all_70_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 15.70/4.07 | (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v0)
% 15.70/4.07 | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & isa(v0,
% 15.70/4.07 | all_70_0) = v2)) & ! [v0: $i] : ( ~ (isa(v0, all_70_0) = 0) |
% 15.70/4.07 | ~ $i(v0) |
% 15.70/4.07 | subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v0)
% 15.70/4.07 | = 0)
% 15.70/4.07 |
% 15.70/4.07 | ALPHA: (31) implies:
% 15.70/4.07 | (32) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_70_0
% 15.70/4.07 |
% 15.70/4.07 | DELTA: instantiating (12) with fresh symbol all_73_0 gives:
% 15.70/4.07 | (33) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_73_0 & $i(all_73_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 15.70/4.07 | (isa(v0, all_73_0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 15.70/4.07 | subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v0)
% 15.70/4.07 | = v2)) & ! [v0: $i] : ( ~
% 15.70/4.07 | (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(v0)
% 15.70/4.07 | = 0) | ~ $i(v0) | isa(v0, all_73_0) = 0)
% 15.70/4.07 |
% 15.70/4.07 | ALPHA: (33) implies:
% 15.70/4.07 | (34) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.07 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.07 | all_73_0
% 15.70/4.07 |
% 15.70/4.07 | DELTA: instantiating (4) with fresh symbols all_76_0, all_76_1 gives:
% 15.70/4.08 | (35) mtvisible(c_tptp_member2610_mt) = all_76_1 &
% 15.70/4.08 | f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.08 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.08 | all_76_0 & $i(all_76_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (all_76_1 =
% 15.70/4.08 | 0) | ~ (f_relationallexistsfn(v0, c_tptp_8_875, all_76_0,
% 15.70/4.08 | c_tptpcol_16_31868) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 15.70/4.08 | any] : (tptp_8_875(v0, v1) = v3 & isa(v0, all_76_0) = v2 & ( ~ (v2
% 15.70/4.08 | = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (all_76_1 = 0) | ~
% 15.70/4.08 | (isa(v0, all_76_0) = 0) | ~ $i(v0) | ? [v1: $i] : (tptp_8_875(v0,
% 15.70/4.08 | v1) = 0 & f_relationallexistsfn(v0, c_tptp_8_875, all_76_0,
% 15.70/4.08 | c_tptpcol_16_31868) = v1 & $i(v1)))
% 15.70/4.08 |
% 15.70/4.08 | ALPHA: (35) implies:
% 15.70/4.08 | (36) f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,
% 15.70/4.08 | c_directionoftranslation_throughout, c_movement_translationevent) =
% 15.70/4.08 | all_76_0
% 15.70/4.08 | (37) mtvisible(c_tptp_member2610_mt) = all_76_1
% 15.70/4.08 | (38) ! [v0: $i] : ( ~ (all_76_1 = 0) | ~ (isa(v0, all_76_0) = 0) | ~
% 15.70/4.08 | $i(v0) | ? [v1: $i] : (tptp_8_875(v0, v1) = 0 &
% 15.70/4.08 | f_relationallexistsfn(v0, c_tptp_8_875, all_76_0,
% 15.70/4.08 | c_tptpcol_16_31868) = v1 & $i(v1)))
% 15.70/4.08 |
% 15.70/4.08 | GROUND_INST: instantiating (21) with all_68_1, all_70_0,
% 15.70/4.08 | c_movement_translationevent, c_directionoftranslation_throughout,
% 15.70/4.08 | c_unitvectorinterval, simplifying with (28), (32) gives:
% 15.70/4.08 | (39) all_70_0 = all_68_1
% 15.70/4.08 |
% 15.70/4.08 | GROUND_INST: instantiating (21) with all_70_0, all_73_0,
% 15.70/4.08 | c_movement_translationevent, c_directionoftranslation_throughout,
% 15.70/4.08 | c_unitvectorinterval, simplifying with (32), (34) gives:
% 15.70/4.08 | (40) all_73_0 = all_70_0
% 15.70/4.08 |
% 15.70/4.08 | GROUND_INST: instantiating (21) with all_73_0, all_76_0,
% 15.70/4.08 | c_movement_translationevent, c_directionoftranslation_throughout,
% 15.70/4.08 | c_unitvectorinterval, simplifying with (34), (36) gives:
% 15.70/4.08 | (41) all_76_0 = all_73_0
% 15.70/4.08 |
% 15.70/4.08 | GROUND_INST: instantiating (21) with all_66_0, all_76_0,
% 15.70/4.08 | c_movement_translationevent, c_directionoftranslation_throughout,
% 15.70/4.08 | c_unitvectorinterval, simplifying with (24), (36) gives:
% 15.70/4.08 | (42) all_76_0 = all_66_0
% 15.70/4.08 |
% 15.70/4.08 | GROUND_INST: instantiating (17) with all_68_2, all_76_1, c_tptp_member2610_mt,
% 15.70/4.08 | simplifying with (29), (37) gives:
% 15.70/4.08 | (43) all_76_1 = all_68_2
% 15.70/4.09 |
% 15.70/4.09 | COMBINE_EQS: (41), (42) imply:
% 15.70/4.09 | (44) all_73_0 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | SIMP: (44) implies:
% 15.70/4.09 | (45) all_73_0 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | COMBINE_EQS: (40), (45) imply:
% 15.70/4.09 | (46) all_70_0 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | SIMP: (46) implies:
% 15.70/4.09 | (47) all_70_0 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | COMBINE_EQS: (39), (47) imply:
% 15.70/4.09 | (48) all_68_1 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | SIMP: (48) implies:
% 15.70/4.09 | (49) all_68_1 = all_66_0
% 15.70/4.09 |
% 15.70/4.09 | REDUCE: (27), (49) imply:
% 15.70/4.09 | (50) relationallexists(c_tptp_8_875, all_66_0, c_tptpcol_16_31868) =
% 15.70/4.09 | all_68_0
% 15.70/4.09 |
% 15.70/4.09 | REDUCE: (26), (49) imply:
% 15.70/4.09 | (51) $i(all_66_0)
% 15.70/4.09 |
% 15.70/4.09 | GROUND_INST: instantiating (just63) with c_tptp_spindlecollectormt,
% 15.70/4.09 | c_tptp_member2610_mt, simplifying with (1), (5), (13) gives:
% 15.94/4.10 | (52) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member2610_mt) = v1 &
% 15.94/4.10 | mtvisible(c_tptp_spindlecollectormt) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 15.94/4.10 |
% 15.94/4.10 | GROUND_INST: instantiating (just63) with c_tptp_spindlecollectormt,
% 15.94/4.10 | c_tptp_member3993_mt, simplifying with (2), (3), (13) gives:
% 15.94/4.10 | (53) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3993_mt) = v1 &
% 15.94/4.10 | mtvisible(c_tptp_spindlecollectormt) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 15.94/4.10 |
% 15.94/4.10 | DELTA: instantiating (52) with fresh symbols all_95_0, all_95_1 gives:
% 15.94/4.10 | (54) mtvisible(c_tptp_member2610_mt) = all_95_0 &
% 15.94/4.10 | mtvisible(c_tptp_spindlecollectormt) = all_95_1 & ( ~ (all_95_1 = 0) |
% 15.94/4.10 | all_95_0 = 0)
% 15.94/4.10 |
% 15.94/4.10 | ALPHA: (54) implies:
% 15.94/4.10 | (55) mtvisible(c_tptp_spindlecollectormt) = all_95_1
% 15.94/4.10 | (56) mtvisible(c_tptp_member2610_mt) = all_95_0
% 15.94/4.11 | (57) ~ (all_95_1 = 0) | all_95_0 = 0
% 15.94/4.11 |
% 15.94/4.11 | DELTA: instantiating (53) with fresh symbols all_103_0, all_103_1 gives:
% 15.94/4.11 | (58) mtvisible(c_tptp_member3993_mt) = all_103_0 &
% 15.94/4.11 | mtvisible(c_tptp_spindlecollectormt) = all_103_1 & ( ~ (all_103_1 = 0)
% 15.94/4.11 | | all_103_0 = 0)
% 15.94/4.11 |
% 15.94/4.11 | ALPHA: (58) implies:
% 15.94/4.11 | (59) mtvisible(c_tptp_spindlecollectormt) = all_103_1
% 15.94/4.11 |
% 15.94/4.11 | GROUND_INST: instantiating (17) with 0, all_103_1, c_tptp_spindlecollectormt,
% 15.94/4.11 | simplifying with (15), (59) gives:
% 15.94/4.11 | (60) all_103_1 = 0
% 15.94/4.11 |
% 15.94/4.11 | GROUND_INST: instantiating (17) with all_95_1, all_103_1,
% 15.94/4.11 | c_tptp_spindlecollectormt, simplifying with (55), (59) gives:
% 15.94/4.11 | (61) all_103_1 = all_95_1
% 15.94/4.11 |
% 15.94/4.11 | GROUND_INST: instantiating (17) with all_68_2, all_95_0, c_tptp_member2610_mt,
% 15.94/4.11 | simplifying with (29), (56) gives:
% 15.94/4.11 | (62) all_95_0 = all_68_2
% 15.94/4.11 |
% 15.94/4.11 | COMBINE_EQS: (60), (61) imply:
% 15.94/4.11 | (63) all_95_1 = 0
% 15.94/4.11 |
% 15.94/4.11 | SIMP: (63) implies:
% 15.94/4.11 | (64) all_95_1 = 0
% 15.94/4.11 |
% 15.94/4.11 | BETA: splitting (57) gives:
% 15.94/4.11 |
% 15.94/4.11 | Case 1:
% 15.94/4.11 | |
% 15.94/4.11 | | (65) ~ (all_95_1 = 0)
% 15.94/4.11 | |
% 15.94/4.11 | | REDUCE: (64), (65) imply:
% 15.94/4.11 | | (66) $false
% 15.94/4.11 | |
% 15.94/4.11 | | CLOSE: (66) is inconsistent.
% 15.94/4.11 | |
% 15.94/4.11 | Case 2:
% 15.94/4.11 | |
% 15.94/4.11 | | (67) all_95_0 = 0
% 15.94/4.11 | |
% 15.94/4.11 | | COMBINE_EQS: (62), (67) imply:
% 15.94/4.11 | | (68) all_68_2 = 0
% 15.94/4.11 | |
% 15.94/4.11 | | SIMP: (68) implies:
% 15.94/4.11 | | (69) all_68_2 = 0
% 15.94/4.11 | |
% 15.94/4.11 | | COMBINE_EQS: (43), (69) imply:
% 15.94/4.11 | | (70) all_76_1 = 0
% 15.94/4.11 | |
% 15.94/4.11 | | BETA: splitting (30) gives:
% 15.94/4.11 | |
% 15.94/4.11 | | Case 1:
% 15.94/4.11 | | |
% 15.94/4.11 | | | (71) ~ (all_68_2 = 0)
% 15.94/4.11 | | |
% 15.94/4.11 | | | REDUCE: (69), (71) imply:
% 15.94/4.11 | | | (72) $false
% 15.94/4.11 | | |
% 15.94/4.11 | | | CLOSE: (72) is inconsistent.
% 15.94/4.11 | | |
% 15.94/4.11 | | Case 2:
% 15.94/4.11 | | |
% 15.94/4.11 | | | (73) all_68_0 = 0
% 15.94/4.11 | | |
% 15.94/4.11 | | | REDUCE: (50), (73) imply:
% 15.94/4.11 | | | (74) relationallexists(c_tptp_8_875, all_66_0, c_tptpcol_16_31868) = 0
% 15.94/4.11 | | |
% 15.94/4.11 | | | GROUND_INST: instantiating (38) with
% 15.94/4.11 | | | c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | simplifying with (14) gives:
% 15.94/4.11 | | | (75) ~ (all_76_1 = 0) | ~
% 15.94/4.11 | | | (isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | all_76_0) = 0) | ? [v0: $i] :
% 15.94/4.11 | | | (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | v0) = 0 &
% 15.94/4.11 | | | f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | c_tptp_8_875, all_76_0, c_tptpcol_16_31868) = v0 & $i(v0))
% 15.94/4.11 | | |
% 15.94/4.11 | | | BETA: splitting (75) gives:
% 15.94/4.11 | | |
% 15.94/4.11 | | | Case 1:
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | (76) ~
% 15.94/4.11 | | | | (isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | | all_76_0) = 0)
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | REDUCE: (42), (76) imply:
% 15.94/4.11 | | | | (77) ~
% 15.94/4.11 | | | | (isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | | all_66_0) = 0)
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | PRED_UNIFY: (23), (77) imply:
% 15.94/4.11 | | | | (78) $false
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | CLOSE: (78) is inconsistent.
% 15.94/4.11 | | | |
% 15.94/4.11 | | | Case 2:
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | (79) isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | | all_76_0) = 0
% 15.94/4.11 | | | | (80) ~ (all_76_1 = 0) | ? [v0: $i] :
% 15.94/4.11 | | | | (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | | v0) = 0 &
% 15.94/4.11 | | | | f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.11 | | | | c_tptp_8_875, all_76_0, c_tptpcol_16_31868) = v0 & $i(v0))
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | BETA: splitting (80) gives:
% 15.94/4.11 | | | |
% 15.94/4.11 | | | | Case 1:
% 15.94/4.11 | | | | |
% 15.94/4.11 | | | | | (81) ~ (all_76_1 = 0)
% 15.94/4.11 | | | | |
% 15.94/4.11 | | | | | REDUCE: (70), (81) imply:
% 15.94/4.11 | | | | | (82) $false
% 15.94/4.11 | | | | |
% 15.94/4.11 | | | | | CLOSE: (82) is inconsistent.
% 15.94/4.11 | | | | |
% 15.94/4.11 | | | | Case 2:
% 15.94/4.11 | | | | |
% 15.94/4.12 | | | | | (83) ? [v0: $i] :
% 15.94/4.12 | | | | | (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | v0) = 0 &
% 15.94/4.12 | | | | | f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | c_tptp_8_875, all_76_0, c_tptpcol_16_31868) = v0 & $i(v0))
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | DELTA: instantiating (83) with fresh symbol all_175_0 gives:
% 15.94/4.12 | | | | | (84) tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_175_0) = 0 &
% 15.94/4.12 | | | | | f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | c_tptp_8_875, all_76_0, c_tptpcol_16_31868) = all_175_0 &
% 15.94/4.12 | | | | | $i(all_175_0)
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | ALPHA: (84) implies:
% 15.94/4.12 | | | | | (85) $i(all_175_0)
% 15.94/4.12 | | | | | (86) f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | c_tptp_8_875, all_76_0, c_tptpcol_16_31868) = all_175_0
% 15.94/4.12 | | | | | (87) tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_175_0) = 0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | REDUCE: (42), (86) imply:
% 15.94/4.12 | | | | | (88) f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | c_tptp_8_875, all_66_0, c_tptpcol_16_31868) = all_175_0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | GROUND_INST: instantiating (just1) with
% 15.94/4.12 | | | | | c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_66_0, c_tptp_8_875, c_tptpcol_16_31868, all_175_0,
% 15.94/4.12 | | | | | simplifying with (6), (10), (14), (51), (88) gives:
% 15.94/4.12 | | | | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 15.94/4.12 | | | | | (relationallexists(c_tptp_8_875, all_66_0, c_tptpcol_16_31868)
% 15.94/4.12 | | | | | = v1 & isa(all_175_0, c_tptpcol_16_31868) = v2 &
% 15.94/4.12 | | | | | isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_66_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | GROUND_INST: instantiating (16) with all_175_0, simplifying with (85),
% 15.94/4.12 | | | | | (87) gives:
% 15.94/4.12 | | | | | (90) ? [v0: int] : ( ~ (v0 = 0) & tptpcol_16_31868(all_175_0) =
% 15.94/4.12 | | | | | v0)
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | DELTA: instantiating (90) with fresh symbol all_183_0 gives:
% 15.94/4.12 | | | | | (91) ~ (all_183_0 = 0) & tptpcol_16_31868(all_175_0) = all_183_0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | ALPHA: (91) implies:
% 15.94/4.12 | | | | | (92) ~ (all_183_0 = 0)
% 15.94/4.12 | | | | | (93) tptpcol_16_31868(all_175_0) = all_183_0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | DELTA: instantiating (89) with fresh symbols all_185_0, all_185_1,
% 15.94/4.12 | | | | | all_185_2 gives:
% 15.94/4.12 | | | | | (94) relationallexists(c_tptp_8_875, all_66_0, c_tptpcol_16_31868)
% 15.94/4.12 | | | | | = all_185_1 & isa(all_175_0, c_tptpcol_16_31868) = all_185_0 &
% 15.94/4.12 | | | | | isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_66_0) = all_185_2 & ( ~ (all_185_1 = 0) | ~ (all_185_2
% 15.94/4.12 | | | | | = 0) | all_185_0 = 0)
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | ALPHA: (94) implies:
% 15.94/4.12 | | | | | (95) isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | all_66_0) = all_185_2
% 15.94/4.12 | | | | | (96) isa(all_175_0, c_tptpcol_16_31868) = all_185_0
% 15.94/4.12 | | | | | (97) relationallexists(c_tptp_8_875, all_66_0, c_tptpcol_16_31868)
% 15.94/4.12 | | | | | = all_185_1
% 15.94/4.12 | | | | | (98) ~ (all_185_1 = 0) | ~ (all_185_2 = 0) | all_185_0 = 0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | GROUND_INST: instantiating (19) with 0, all_185_2, all_66_0,
% 15.94/4.12 | | | | | c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,
% 15.94/4.12 | | | | | simplifying with (23), (95) gives:
% 15.94/4.12 | | | | | (99) all_185_2 = 0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | GROUND_INST: instantiating (20) with 0, all_185_1, c_tptpcol_16_31868,
% 15.94/4.12 | | | | | all_66_0, c_tptp_8_875, simplifying with (74), (97)
% 15.94/4.12 | | | | | gives:
% 15.94/4.12 | | | | | (100) all_185_1 = 0
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | BETA: splitting (98) gives:
% 15.94/4.12 | | | | |
% 15.94/4.12 | | | | | Case 1:
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | (101) ~ (all_185_1 = 0)
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | REDUCE: (100), (101) imply:
% 15.94/4.12 | | | | | | (102) $false
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | CLOSE: (102) is inconsistent.
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | Case 2:
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | (103) ~ (all_185_2 = 0) | all_185_0 = 0
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | BETA: splitting (103) gives:
% 15.94/4.12 | | | | | |
% 15.94/4.12 | | | | | | Case 1:
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | (104) ~ (all_185_2 = 0)
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | REDUCE: (99), (104) imply:
% 15.94/4.12 | | | | | | | (105) $false
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | CLOSE: (105) is inconsistent.
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | Case 2:
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | (106) all_185_0 = 0
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | REDUCE: (96), (106) imply:
% 15.94/4.12 | | | | | | | (107) isa(all_175_0, c_tptpcol_16_31868) = 0
% 15.94/4.12 | | | | | | |
% 15.94/4.12 | | | | | | | GROUND_INST: instantiating (9) with all_175_0, simplifying with
% 15.94/4.12 | | | | | | | (85), (107) gives:
% 15.94/4.13 | | | | | | | (108) tptpcol_16_31868(all_175_0) = 0
% 15.94/4.13 | | | | | | |
% 15.94/4.13 | | | | | | | GROUND_INST: instantiating (18) with all_183_0, 0, all_175_0,
% 15.94/4.13 | | | | | | | simplifying with (93), (108) gives:
% 15.94/4.13 | | | | | | | (109) all_183_0 = 0
% 15.94/4.13 | | | | | | |
% 15.94/4.13 | | | | | | | REDUCE: (92), (109) imply:
% 15.94/4.13 | | | | | | | (110) $false
% 15.94/4.13 | | | | | | |
% 15.94/4.13 | | | | | | | CLOSE: (110) is inconsistent.
% 15.94/4.13 | | | | | | |
% 15.94/4.13 | | | | | | End of split
% 15.94/4.13 | | | | | |
% 15.94/4.13 | | | | | End of split
% 15.94/4.13 | | | | |
% 15.94/4.13 | | | | End of split
% 15.94/4.13 | | | |
% 15.94/4.13 | | | End of split
% 15.94/4.13 | | |
% 15.94/4.13 | | End of split
% 15.94/4.13 | |
% 15.94/4.13 | End of split
% 15.94/4.13 |
% 15.94/4.13 End of proof
% 15.94/4.13 % SZS output end Proof for theBenchmark
% 15.94/4.13
% 15.94/4.13 3484ms
%------------------------------------------------------------------------------