TSTP Solution File: CSR070+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR070+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 : n012.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 21:37:10 EDT 2023
% Result : Theorem 10.62s 2.17s
% Output : Proof 13.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n012.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 13:21:54 EDT 2023
% 0.12/0.35 % 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 ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.10/1.16 Prover 4: Preprocessing ...
% 3.10/1.16 Prover 1: Preprocessing ...
% 3.74/1.20 Prover 5: Preprocessing ...
% 3.74/1.20 Prover 3: Preprocessing ...
% 3.74/1.20 Prover 2: Preprocessing ...
% 3.74/1.20 Prover 0: Preprocessing ...
% 3.74/1.20 Prover 6: Preprocessing ...
% 6.27/1.59 Prover 2: Proving ...
% 6.27/1.61 Prover 5: Proving ...
% 7.80/1.79 Prover 6: Constructing countermodel ...
% 8.18/1.83 Prover 3: Constructing countermodel ...
% 8.18/1.84 Prover 1: Constructing countermodel ...
% 8.48/1.91 Prover 4: Constructing countermodel ...
% 9.14/1.99 Prover 0: Proving ...
% 10.62/2.16 Prover 3: proved (1527ms)
% 10.62/2.16
% 10.62/2.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.62/2.17
% 10.62/2.17 Prover 6: stopped
% 10.62/2.17 Prover 5: stopped
% 10.62/2.17 Prover 0: stopped
% 10.62/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.62/2.17 Prover 2: stopped
% 10.62/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.62/2.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.62/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.62/2.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 11.42/2.25 Prover 11: Preprocessing ...
% 11.42/2.25 Prover 13: Preprocessing ...
% 11.42/2.26 Prover 8: Preprocessing ...
% 11.42/2.28 Prover 10: Preprocessing ...
% 11.42/2.28 Prover 7: Preprocessing ...
% 12.14/2.37 Prover 10: Constructing countermodel ...
% 12.14/2.38 Prover 7: Constructing countermodel ...
% 12.48/2.42 Prover 13: Warning: ignoring some quantifiers
% 12.88/2.45 Prover 1: Found proof (size 42)
% 12.88/2.45 Prover 1: proved (1812ms)
% 12.88/2.45 Prover 4: stopped
% 12.88/2.45 Prover 10: stopped
% 12.93/2.45 Prover 13: Constructing countermodel ...
% 12.93/2.46 Prover 7: stopped
% 12.93/2.47 Prover 13: stopped
% 13.28/2.51 Prover 8: Warning: ignoring some quantifiers
% 13.28/2.52 Prover 8: Constructing countermodel ...
% 13.28/2.52 Prover 8: stopped
% 13.28/2.53 Prover 11: Constructing countermodel ...
% 13.28/2.55 Prover 11: stopped
% 13.28/2.55
% 13.28/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/2.55
% 13.53/2.56 % SZS output start Proof for theBenchmark
% 13.53/2.57 Assumptions after simplification:
% 13.53/2.57 ---------------------------------
% 13.53/2.57
% 13.53/2.57 (just10)
% 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_7_819(v0, v1) = 0) | ~ $i(v1) | ~
% 13.53/2.59 $i(v0) | tptptypes_6_818(v0, v1) = 0)
% 13.53/2.59
% 13.53/2.59 (just12)
% 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_8_823(v0, v1) = 0) | ~ $i(v1) | ~
% 13.53/2.59 $i(v0) | tptptypes_7_819(v0, v1) = 0)
% 13.53/2.59
% 13.53/2.59 (just14)
% 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_9_824(v0, v1) = 0) | ~ $i(v1) | ~
% 13.53/2.59 $i(v0) | tptptypes_8_823(v0, v1) = 0)
% 13.53/2.59
% 13.53/2.59 (just16)
% 13.53/2.59 genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = 0 &
% 13.53/2.59 $i(c_tptp_member2668_mt) & $i(c_tptp_spindlecollectormt)
% 13.53/2.59
% 13.53/2.59 (just19)
% 13.53/2.60 $i(c_tptpcol_16_8886) & $i(c_partiallytangible) & $i(c_orientation) &
% 13.53/2.60 $i(c_orientationvector) & $i(c_tptp_member2668_mt) & ? [v0: any] : ? [v1:
% 13.53/2.60 $i] : ? [v2: any] : (mtvisible(c_tptp_member2668_mt) = v0 &
% 13.53/2.60 f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation,
% 13.53/2.60 c_partiallytangible) = v1 & tptptypes_9_824(v1, c_tptpcol_16_8886) = v2 &
% 13.53/2.60 $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 13.53/2.60
% 13.53/2.60 (just44)
% 13.53/2.60 $i(c_partiallytangible) & $i(c_orientation) & $i(c_orientationvector) & ?
% 13.53/2.60 [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.60 c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : ( ~
% 13.53/2.60 (isa(v1, v0) = 0) | ~ $i(v1) |
% 13.53/2.60 subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1)
% 13.53/2.60 = 0))
% 13.53/2.60
% 13.53/2.60 (just45)
% 13.53/2.60 $i(c_partiallytangible) & $i(c_orientation) & $i(c_orientationvector) & ?
% 13.53/2.60 [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.60 c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : ! [v2:
% 13.53/2.60 int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3: int] : ( ~
% 13.53/2.60 (v3 = 0) &
% 13.53/2.60 subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1)
% 13.53/2.60 = v3)))
% 13.53/2.60
% 13.53/2.60 (just57)
% 13.53/2.60 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) |
% 13.53/2.60 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 13.53/2.60 & genlmt(v0, v1) = v3))
% 13.53/2.60
% 13.53/2.60 (just8)
% 13.53/2.60 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_6_818(v0, v1) = 0) | ~ $i(v1) | ~
% 13.53/2.60 $i(v0) | tptptypes_5_802(v0, v1) = 0)
% 13.53/2.60
% 13.53/2.60 (query70)
% 13.53/2.61 $i(c_tptpcol_16_8886) & $i(c_partiallytangible) & $i(c_orientation) &
% 13.53/2.61 $i(c_orientationvector) & $i(c_tptp_spindlecollectormt) & ? [v0: $i] : ?
% 13.53/2.61 [v1: int] : ( ~ (v1 = 0) & mtvisible(c_tptp_spindlecollectormt) = 0 &
% 13.53/2.61 f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation,
% 13.53/2.61 c_partiallytangible) = v0 & tptptypes_5_802(v0, c_tptpcol_16_8886) = v1 &
% 13.53/2.61 $i(v0))
% 13.53/2.61
% 13.53/2.61 (function-axioms)
% 13.53/2.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 13.53/2.62 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~
% 13.53/2.62 (natargument(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 13.53/2.62 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 13.53/2.62 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~
% 13.53/2.62 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0:
% 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.53/2.62 : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) &
% 13.53/2.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 13.53/2.62 $i] : (v1 = v0 | ~ (orientation(v3, v2) = v1) | ~ (orientation(v3, v2) =
% 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) =
% 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~
% 13.53/2.62 (genlinverse(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.53/2.62 (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) & ! [v0:
% 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.53/2.62 : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.53/2.62 : (v1 = v0 | ~ (tptptypes_9_824(v3, v2) = v1) | ~ (tptptypes_9_824(v3, v2) =
% 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_8_823(v3, v2) = v1) | ~
% 13.53/2.62 (tptptypes_8_823(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.53/2.62 (tptptypes_7_819(v3, v2) = v1) | ~ (tptptypes_7_819(v3, v2) = v0)) & !
% 13.53/2.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 13.53/2.62 $i] : (v1 = v0 | ~ (tptptypes_6_818(v3, v2) = v1) | ~ (tptptypes_6_818(v3,
% 13.53/2.62 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 13.53/2.62 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_5_802(v3, v2) = v1) | ~
% 13.53/2.62 (tptptypes_5_802(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.53/2.62 (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0:
% 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.53/2.62 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.53/2.62 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) |
% 13.53/2.62 ~ (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~
% 13.53/2.62 (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (firstordercollection(v2) =
% 13.53/2.62 v1) | ~ (firstordercollection(v2) = v0)) & ! [v0: MultipleValueBool] :
% 13.53/2.62 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 13.53/2.62 (subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v2)
% 13.53/2.62 = v1) | ~
% 13.53/2.62 (subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v2)
% 13.53/2.62 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.53/2.62 $i] : (v1 = v0 | ~ (spatialthing_localized(v2) = v1) | ~
% 13.53/2.62 (spatialthing_localized(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (orientationvector(v2) =
% 13.53/2.62 v1) | ~ (orientationvector(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) =
% 13.53/2.62 v1) | ~ (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_16_8886(v2) =
% 13.53/2.62 v1) | ~ (tptpcol_16_8886(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) |
% 13.53/2.62 ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 13.53/2.62 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 13.53/2.62 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 13.53/2.62 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 13.53/2.62 v0))
% 13.53/2.62
% 13.53/2.62 Further assumptions not needed in the proof:
% 13.53/2.62 --------------------------------------------
% 13.53/2.62 just1, just11, just13, just15, just17, just18, just2, just20, just21, just22,
% 13.53/2.62 just23, just24, just25, just26, just27, just28, just29, just3, just30, just31,
% 13.53/2.62 just32, just33, just34, just35, just36, just37, just38, just39, just4, just40,
% 13.53/2.62 just41, just42, just43, just46, just47, just48, just49, just5, just50, just51,
% 13.53/2.62 just52, just53, just54, just55, just56, just58, just59, just6, just60, just61,
% 13.53/2.62 just62, just63, just64, just65, just66, just67, just68, just69, just7, just70,
% 13.53/2.62 just71, just72, just73, just74, just75, just76, just77, just78, just79, just9
% 13.53/2.62
% 13.53/2.62 Those formulas are unsatisfiable:
% 13.53/2.62 ---------------------------------
% 13.53/2.62
% 13.53/2.62 Begin of proof
% 13.53/2.62 |
% 13.53/2.62 | ALPHA: (just16) implies:
% 13.53/2.62 | (1) genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = 0
% 13.53/2.62 |
% 13.53/2.62 | ALPHA: (just19) implies:
% 13.53/2.62 | (2) $i(c_tptp_member2668_mt)
% 13.53/2.62 | (3) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 13.53/2.62 | (mtvisible(c_tptp_member2668_mt) = v0 &
% 13.53/2.62 | f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.62 | c_orientation, c_partiallytangible) = v1 & tptptypes_9_824(v1,
% 13.53/2.62 | c_tptpcol_16_8886) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 13.53/2.62 |
% 13.53/2.62 | ALPHA: (just44) implies:
% 13.53/2.62 | (4) ? [v0: $i] :
% 13.53/2.62 | (f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.62 | c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : (
% 13.53/2.62 | ~ (isa(v1, v0) = 0) | ~ $i(v1) |
% 13.53/2.62 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1)
% 13.53/2.62 | = 0))
% 13.53/2.62 |
% 13.53/2.62 | ALPHA: (just45) implies:
% 13.53/2.62 | (5) ? [v0: $i] :
% 13.53/2.62 | (f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.62 | c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] :
% 13.53/2.62 | ! [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3:
% 13.53/2.62 | int] : ( ~ (v3 = 0) &
% 13.53/2.62 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1)
% 13.53/2.62 | = v3)))
% 13.53/2.62 |
% 13.53/2.62 | ALPHA: (query70) implies:
% 13.53/2.63 | (6) $i(c_tptp_spindlecollectormt)
% 13.53/2.63 | (7) $i(c_tptpcol_16_8886)
% 13.53/2.63 | (8) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 13.53/2.63 | mtvisible(c_tptp_spindlecollectormt) = 0 &
% 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = v0 & tptptypes_5_802(v0,
% 13.53/2.63 | c_tptpcol_16_8886) = v1 & $i(v0))
% 13.53/2.63 |
% 13.53/2.63 | ALPHA: (function-axioms) implies:
% 13.53/2.63 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 13.53/2.63 | ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2)
% 13.53/2.63 | = v0))
% 13.53/2.63 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.53/2.63 | : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_5_802(v3, v2) = v1) | ~
% 13.53/2.63 | (tptptypes_5_802(v3, v2) = v0))
% 13.53/2.63 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 13.53/2.63 | (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 13.53/2.63 | v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 13.53/2.63 | v0))
% 13.53/2.63 |
% 13.53/2.63 | DELTA: instantiating (8) with fresh symbols all_64_0, all_64_1 gives:
% 13.53/2.63 | (12) ~ (all_64_0 = 0) & mtvisible(c_tptp_spindlecollectormt) = 0 &
% 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_64_1 &
% 13.53/2.63 | tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = all_64_0 & $i(all_64_1)
% 13.53/2.63 |
% 13.53/2.63 | ALPHA: (12) implies:
% 13.53/2.63 | (13) ~ (all_64_0 = 0)
% 13.53/2.63 | (14) tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = all_64_0
% 13.53/2.63 | (15) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_64_1
% 13.53/2.63 | (16) mtvisible(c_tptp_spindlecollectormt) = 0
% 13.53/2.63 |
% 13.53/2.63 | DELTA: instantiating (4) with fresh symbol all_66_0 gives:
% 13.53/2.63 | (17) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_66_0 & $i(all_66_0) & !
% 13.53/2.63 | [v0: $i] : ( ~ (isa(v0, all_66_0) = 0) | ~ $i(v0) |
% 13.53/2.63 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0)
% 13.53/2.63 | = 0)
% 13.53/2.63 |
% 13.53/2.63 | ALPHA: (17) implies:
% 13.53/2.63 | (18) $i(all_66_0)
% 13.53/2.63 | (19) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_66_0
% 13.53/2.63 |
% 13.53/2.63 | DELTA: instantiating (3) with fresh symbols all_69_0, all_69_1, all_69_2
% 13.53/2.63 | gives:
% 13.53/2.63 | (20) mtvisible(c_tptp_member2668_mt) = all_69_2 &
% 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_69_1 &
% 13.53/2.63 | tptptypes_9_824(all_69_1, c_tptpcol_16_8886) = all_69_0 & $i(all_69_1)
% 13.53/2.63 | & ( ~ (all_69_2 = 0) | all_69_0 = 0)
% 13.53/2.63 |
% 13.53/2.63 | ALPHA: (20) implies:
% 13.53/2.63 | (21) tptptypes_9_824(all_69_1, c_tptpcol_16_8886) = all_69_0
% 13.53/2.63 | (22) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_69_1
% 13.53/2.63 | (23) mtvisible(c_tptp_member2668_mt) = all_69_2
% 13.53/2.63 | (24) ~ (all_69_2 = 0) | all_69_0 = 0
% 13.53/2.63 |
% 13.53/2.63 | DELTA: instantiating (5) with fresh symbol all_71_0 gives:
% 13.53/2.63 | (25) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.63 | c_orientation, c_partiallytangible) = all_71_0 & $i(all_71_0) & !
% 13.53/2.63 | [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, all_71_0) = v1) | ~
% 13.53/2.63 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 13.53/2.63 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0)
% 13.53/2.63 | = v2))
% 13.53/2.63 |
% 13.53/2.63 | ALPHA: (25) implies:
% 13.53/2.64 | (26) f_subcollectionofwithrelationfromtypefn(c_orientationvector,
% 13.53/2.64 | c_orientation, c_partiallytangible) = all_71_0
% 13.53/2.64 |
% 13.53/2.64 | GROUND_INST: instantiating (11) with all_66_0, all_69_1, c_partiallytangible,
% 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (19), (22)
% 13.53/2.64 | gives:
% 13.53/2.64 | (27) all_69_1 = all_66_0
% 13.53/2.64 |
% 13.53/2.64 | GROUND_INST: instantiating (11) with all_69_1, all_71_0, c_partiallytangible,
% 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (22), (26)
% 13.53/2.64 | gives:
% 13.53/2.64 | (28) all_71_0 = all_69_1
% 13.53/2.64 |
% 13.53/2.64 | GROUND_INST: instantiating (11) with all_64_1, all_71_0, c_partiallytangible,
% 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (15), (26)
% 13.53/2.64 | gives:
% 13.53/2.64 | (29) all_71_0 = all_64_1
% 13.53/2.64 |
% 13.53/2.64 | COMBINE_EQS: (28), (29) imply:
% 13.53/2.64 | (30) all_69_1 = all_64_1
% 13.53/2.64 |
% 13.53/2.64 | SIMP: (30) implies:
% 13.53/2.64 | (31) all_69_1 = all_64_1
% 13.53/2.64 |
% 13.53/2.64 | COMBINE_EQS: (27), (31) imply:
% 13.53/2.64 | (32) all_66_0 = all_64_1
% 13.53/2.64 |
% 13.53/2.64 | SIMP: (32) implies:
% 13.53/2.64 | (33) all_66_0 = all_64_1
% 13.53/2.64 |
% 13.53/2.64 | REDUCE: (21), (31) imply:
% 13.53/2.64 | (34) tptptypes_9_824(all_64_1, c_tptpcol_16_8886) = all_69_0
% 13.53/2.64 |
% 13.53/2.64 | REDUCE: (18), (33) imply:
% 13.53/2.64 | (35) $i(all_64_1)
% 13.53/2.64 |
% 13.53/2.64 | GROUND_INST: instantiating (just57) with c_tptp_spindlecollectormt,
% 13.53/2.64 | c_tptp_member2668_mt, all_69_2, simplifying with (2), (6), (16),
% 13.53/2.64 | (23) gives:
% 13.53/2.64 | (36) all_69_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.53/2.64 | genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = v0)
% 13.53/2.64 |
% 13.53/2.64 | BETA: splitting (36) gives:
% 13.53/2.64 |
% 13.53/2.64 | Case 1:
% 13.53/2.64 | |
% 13.53/2.64 | | (37) all_69_2 = 0
% 13.53/2.64 | |
% 13.53/2.64 | | BETA: splitting (24) gives:
% 13.53/2.64 | |
% 13.53/2.64 | | Case 1:
% 13.53/2.64 | | |
% 13.53/2.64 | | | (38) ~ (all_69_2 = 0)
% 13.53/2.64 | | |
% 13.53/2.64 | | | REDUCE: (37), (38) imply:
% 13.53/2.64 | | | (39) $false
% 13.53/2.64 | | |
% 13.53/2.64 | | | CLOSE: (39) is inconsistent.
% 13.53/2.64 | | |
% 13.53/2.64 | | Case 2:
% 13.53/2.64 | | |
% 13.53/2.64 | | | (40) all_69_0 = 0
% 13.53/2.64 | | |
% 13.53/2.64 | | | REDUCE: (34), (40) imply:
% 13.53/2.64 | | | (41) tptptypes_9_824(all_64_1, c_tptpcol_16_8886) = 0
% 13.53/2.64 | | |
% 13.53/2.64 | | | GROUND_INST: instantiating (just14) with all_64_1, c_tptpcol_16_8886,
% 13.53/2.64 | | | simplifying with (7), (35), (41) gives:
% 13.53/2.64 | | | (42) tptptypes_8_823(all_64_1, c_tptpcol_16_8886) = 0
% 13.53/2.64 | | |
% 13.53/2.64 | | | GROUND_INST: instantiating (just12) with all_64_1, c_tptpcol_16_8886,
% 13.53/2.64 | | | simplifying with (7), (35), (42) gives:
% 13.99/2.64 | | | (43) tptptypes_7_819(all_64_1, c_tptpcol_16_8886) = 0
% 13.99/2.64 | | |
% 13.99/2.64 | | | GROUND_INST: instantiating (just10) with all_64_1, c_tptpcol_16_8886,
% 13.99/2.64 | | | simplifying with (7), (35), (43) gives:
% 13.99/2.64 | | | (44) tptptypes_6_818(all_64_1, c_tptpcol_16_8886) = 0
% 13.99/2.64 | | |
% 13.99/2.64 | | | GROUND_INST: instantiating (just8) with all_64_1, c_tptpcol_16_8886,
% 13.99/2.64 | | | simplifying with (7), (35), (44) gives:
% 13.99/2.64 | | | (45) tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = 0
% 13.99/2.64 | | |
% 13.99/2.64 | | | GROUND_INST: instantiating (10) with all_64_0, 0, c_tptpcol_16_8886,
% 13.99/2.64 | | | all_64_1, simplifying with (14), (45) gives:
% 13.99/2.65 | | | (46) all_64_0 = 0
% 13.99/2.65 | | |
% 13.99/2.65 | | | REDUCE: (13), (46) imply:
% 13.99/2.65 | | | (47) $false
% 13.99/2.65 | | |
% 13.99/2.65 | | | CLOSE: (47) is inconsistent.
% 13.99/2.65 | | |
% 13.99/2.65 | | End of split
% 13.99/2.65 | |
% 13.99/2.65 | Case 2:
% 13.99/2.65 | |
% 13.99/2.65 | | (48) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 13.99/2.65 | | c_tptp_member2668_mt) = v0)
% 13.99/2.65 | |
% 13.99/2.65 | | DELTA: instantiating (48) with fresh symbol all_88_0 gives:
% 13.99/2.65 | | (49) ~ (all_88_0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 13.99/2.65 | | c_tptp_member2668_mt) = all_88_0
% 13.99/2.65 | |
% 13.99/2.65 | | ALPHA: (49) implies:
% 13.99/2.65 | | (50) ~ (all_88_0 = 0)
% 13.99/2.65 | | (51) genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = all_88_0
% 13.99/2.65 | |
% 13.99/2.65 | | GROUND_INST: instantiating (9) with 0, all_88_0, c_tptp_member2668_mt,
% 13.99/2.65 | | c_tptp_spindlecollectormt, simplifying with (1), (51) gives:
% 13.99/2.65 | | (52) all_88_0 = 0
% 13.99/2.65 | |
% 13.99/2.65 | | REDUCE: (50), (52) imply:
% 13.99/2.65 | | (53) $false
% 13.99/2.65 | |
% 13.99/2.65 | | CLOSE: (53) is inconsistent.
% 13.99/2.65 | |
% 13.99/2.65 | End of split
% 13.99/2.65 |
% 13.99/2.65 End of proof
% 13.99/2.65 % SZS output end Proof for theBenchmark
% 13.99/2.65
% 13.99/2.65 2032ms
%------------------------------------------------------------------------------