TSTP Solution File: CSR065+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR065+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 : n022.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 21:37:05 EDT 2023
% Result : Theorem 8.67s 2.05s
% Output : Proof 12.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n022.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 07:25:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.67 ________ _____
% 0.20/0.67 ___ __ \_________(_)________________________________
% 0.20/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.67
% 0.20/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.67 (2023-06-19)
% 0.20/0.67
% 0.20/0.67 (c) Philipp Rümmer, 2009-2023
% 0.20/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.67 Amanda Stjerna.
% 0.20/0.67 Free software under BSD-3-Clause.
% 0.20/0.67
% 0.20/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.67
% 0.20/0.67 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.69 Running up to 7 provers in parallel.
% 0.20/0.71 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.71 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.71 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.71 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.71 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.71 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.71 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.48/1.15 Prover 4: Preprocessing ...
% 2.48/1.15 Prover 1: Preprocessing ...
% 3.33/1.19 Prover 5: Preprocessing ...
% 3.33/1.19 Prover 6: Preprocessing ...
% 3.33/1.19 Prover 2: Preprocessing ...
% 3.33/1.19 Prover 0: Preprocessing ...
% 3.33/1.19 Prover 3: Preprocessing ...
% 5.82/1.55 Prover 5: Proving ...
% 5.82/1.56 Prover 2: Proving ...
% 6.81/1.69 Prover 6: Constructing countermodel ...
% 6.81/1.70 Prover 3: Constructing countermodel ...
% 6.81/1.74 Prover 1: Constructing countermodel ...
% 7.66/1.83 Prover 0: Proving ...
% 8.02/1.86 Prover 4: Constructing countermodel ...
% 8.67/2.04 Prover 3: proved (1334ms)
% 8.67/2.04
% 8.67/2.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.67/2.05
% 8.67/2.05 Prover 6: stopped
% 8.67/2.06 Prover 0: proved (1346ms)
% 8.67/2.06
% 8.67/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.67/2.06
% 8.67/2.06 Prover 5: stopped
% 8.67/2.07 Prover 2: stopped
% 8.67/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.67/2.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.67/2.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.67/2.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.67/2.10 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.67/2.14 Prover 10: Preprocessing ...
% 9.67/2.15 Prover 7: Preprocessing ...
% 9.67/2.15 Prover 8: Preprocessing ...
% 9.67/2.17 Prover 11: Preprocessing ...
% 9.67/2.18 Prover 13: Preprocessing ...
% 10.57/2.24 Prover 10: Constructing countermodel ...
% 10.57/2.24 Prover 7: Constructing countermodel ...
% 10.57/2.26 Prover 13: Warning: ignoring some quantifiers
% 10.57/2.27 Prover 13: Constructing countermodel ...
% 11.27/2.31 Prover 1: Found proof (size 70)
% 11.27/2.31 Prover 1: proved (1616ms)
% 11.27/2.31 Prover 7: stopped
% 11.27/2.31 Prover 4: stopped
% 11.27/2.31 Prover 13: stopped
% 11.27/2.32 Prover 10: stopped
% 11.27/2.32 Prover 8: Warning: ignoring some quantifiers
% 11.27/2.33 Prover 8: Constructing countermodel ...
% 11.27/2.34 Prover 8: stopped
% 11.27/2.37 Prover 11: Constructing countermodel ...
% 11.27/2.38 Prover 11: stopped
% 11.27/2.38
% 11.27/2.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.27/2.38
% 11.71/2.40 % SZS output start Proof for theBenchmark
% 11.71/2.40 Assumptions after simplification:
% 11.71/2.40 ---------------------------------
% 11.71/2.40
% 11.71/2.40 (just10)
% 11.71/2.43 $i(n_468) & $i(c_tptp_member235_mt) & ? [v0: any] : ? [v1: $i] :
% 11.71/2.43 (f_tptpquantityfn_13(n_468) = v1 & mtvisible(c_tptp_member235_mt) = v0 &
% 11.71/2.43 $i(v1) & ! [v2: $i] : ! [v3: int] : ( ~ (v0 = 0) | v3 = 0 | ~
% 11.71/2.43 (tptpofobject(v2, v1) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 11.71/2.43 ridgeline_topographical(v2) = v4)))
% 11.71/2.43
% 11.71/2.43 (just11)
% 11.71/2.43 $i(c_ridgeline_topographical) & $i(c_tptpofobject) & $i(n_468) &
% 11.71/2.43 $i(c_tptp_member235_mt) & ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 11.71/2.43 (relationallinstance(c_tptpofobject, c_ridgeline_topographical, v1) = v2 &
% 11.71/2.43 f_tptpquantityfn_13(n_468) = v1 & mtvisible(c_tptp_member235_mt) = v0 &
% 11.71/2.43 $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 11.71/2.43
% 11.71/2.43 (just48)
% 11.71/2.43 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) |
% 11.71/2.43 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 11.71/2.43 & genlmt(v0, v1) = v3))
% 11.71/2.43
% 11.71/2.43 (just5)
% 11.71/2.43 genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & $i(c_tptp_spindleheadmt) &
% 11.71/2.43 $i(c_cyclistsmt)
% 11.71/2.43
% 11.71/2.43 (just53)
% 11.71/2.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.71/2.43 (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 11.71/2.43 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4))
% 11.71/2.43
% 11.71/2.43 (just6)
% 11.71/2.43 genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = 0 &
% 11.71/2.43 $i(c_tptp_member235_mt) & $i(c_tptp_spindlecollectormt)
% 11.71/2.43
% 11.71/2.43 (just7)
% 11.71/2.43 genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = 0 &
% 11.71/2.43 $i(c_tptp_member3993_mt) & $i(c_tptp_spindleheadmt)
% 11.71/2.43
% 11.71/2.43 (just8)
% 11.71/2.43 genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0 &
% 11.71/2.43 $i(c_tptp_member3993_mt) & $i(c_tptp_spindlecollectormt)
% 11.71/2.43
% 11.71/2.43 (just9)
% 11.71/2.43 $i(c_tptpridgeline_topographical) & $i(c_cyclistsmt) & ? [v0: any] : ? [v1:
% 11.71/2.43 any] : (mtvisible(c_cyclistsmt) = v0 &
% 11.71/2.44 ridgeline_topographical(c_tptpridgeline_topographical) = v1 & ( ~ (v0 = 0) |
% 11.71/2.44 v1 = 0))
% 11.71/2.44
% 11.71/2.44 (query65)
% 11.71/2.44 $i(n_468) & $i(c_tptpridgeline_topographical) & $i(c_tptp_spindlecollectormt)
% 11.71/2.44 & ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & f_tptpquantityfn_13(n_468) = v0
% 11.71/2.44 & tptpofobject(c_tptpridgeline_topographical, v0) = v1 &
% 11.71/2.44 mtvisible(c_tptp_spindlecollectormt) = 0 & $i(v0))
% 11.71/2.44
% 11.71/2.44 (function-axioms)
% 11.71/2.45 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.71/2.45 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~
% 11.71/2.45 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 11.71/2.45 (relationallinstance(v4, v3, v2) = v1) | ~ (relationallinstance(v4, v3, v2)
% 11.71/2.45 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.71/2.45 $i] : ! [v3: $i] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~
% 11.71/2.45 (natfunction(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3,
% 11.71/2.45 v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.71/2.45 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.71/2.45 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 11.71/2.45 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.71/2.45 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & !
% 11.71/2.45 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 11.71/2.45 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) =
% 11.71/2.45 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.71/2.45 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 11.71/2.45 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.71/2.45 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptpofobject(v3, v2) = v1) | ~
% 11.71/2.45 (tptpofobject(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3,
% 11.71/2.45 v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.71/2.45 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) |
% 11.71/2.45 ~ (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~
% 11.71/2.45 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 11.71/2.45 : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = v1) | ~
% 11.71/2.45 (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpquantity(v2) = v1) |
% 11.71/2.45 ~ (tptpquantity(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 11.71/2.45 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 11.71/2.45 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.71/2.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 11.71/2.45 (predicate(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 11.71/2.45 ~ (f_tptpquantityfn_13(v2) = v1) | ~ (f_tptpquantityfn_13(v2) = v0)) & !
% 11.71/2.45 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 11.71/2.45 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0:
% 11.71/2.45 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.71/2.45 ~ (ridgeline_topographical(v2) = v1) | ~ (ridgeline_topographical(v2) =
% 11.71/2.45 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.71/2.45 $i] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~
% 11.71/2.45 (transitivebinarypredicate(v2) = v0))
% 11.71/2.45
% 11.71/2.45 Further assumptions not needed in the proof:
% 11.71/2.45 --------------------------------------------
% 11.71/2.45 just1, just12, just13, just14, just15, just16, just17, just18, just19, just2,
% 11.71/2.45 just20, just21, just22, just23, just24, just25, just26, just27, just28, just29,
% 11.71/2.45 just3, just30, just31, just32, just33, just34, just35, just36, just37, just38,
% 11.71/2.45 just39, just4, just40, just41, just42, just43, just44, just45, just46, just47,
% 11.71/2.45 just49, just50, just51, just52, just54, just55, just56
% 11.71/2.45
% 11.71/2.45 Those formulas are unsatisfiable:
% 11.71/2.45 ---------------------------------
% 11.71/2.45
% 11.71/2.45 Begin of proof
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just5) implies:
% 11.71/2.45 | (1) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just6) implies:
% 11.71/2.45 | (2) genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = 0
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just7) implies:
% 11.71/2.45 | (3) $i(c_tptp_spindleheadmt)
% 11.71/2.45 | (4) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = 0
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just8) implies:
% 11.71/2.45 | (5) $i(c_tptp_member3993_mt)
% 11.71/2.45 | (6) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just9) implies:
% 11.71/2.45 | (7) $i(c_cyclistsmt)
% 11.71/2.45 | (8) ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0 &
% 11.71/2.45 | ridgeline_topographical(c_tptpridgeline_topographical) = v1 & ( ~ (v0
% 11.71/2.45 | = 0) | v1 = 0))
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just10) implies:
% 11.71/2.45 | (9) ? [v0: any] : ? [v1: $i] : (f_tptpquantityfn_13(n_468) = v1 &
% 11.71/2.45 | mtvisible(c_tptp_member235_mt) = v0 & $i(v1) & ! [v2: $i] : ! [v3:
% 11.71/2.45 | int] : ( ~ (v0 = 0) | v3 = 0 | ~ (tptpofobject(v2, v1) = v3) | ~
% 11.71/2.45 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & ridgeline_topographical(v2)
% 11.71/2.45 | = v4)))
% 11.71/2.45 |
% 11.71/2.45 | ALPHA: (just11) implies:
% 11.71/2.45 | (10) $i(c_tptp_member235_mt)
% 11.71/2.46 | (11) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 11.71/2.46 | (relationallinstance(c_tptpofobject, c_ridgeline_topographical, v1) =
% 11.71/2.46 | v2 & f_tptpquantityfn_13(n_468) = v1 &
% 11.71/2.46 | mtvisible(c_tptp_member235_mt) = v0 & $i(v1) & ( ~ (v0 = 0) | v2 =
% 11.71/2.46 | 0))
% 11.71/2.46 |
% 11.71/2.46 | ALPHA: (query65) implies:
% 11.71/2.46 | (12) $i(c_tptp_spindlecollectormt)
% 11.71/2.46 | (13) $i(c_tptpridgeline_topographical)
% 11.71/2.46 | (14) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & f_tptpquantityfn_13(n_468)
% 11.71/2.46 | = v0 & tptpofobject(c_tptpridgeline_topographical, v0) = v1 &
% 11.71/2.46 | mtvisible(c_tptp_spindlecollectormt) = 0 & $i(v0))
% 11.71/2.46 |
% 11.71/2.46 | ALPHA: (function-axioms) implies:
% 11.71/2.46 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.71/2.46 | : (v1 = v0 | ~ (ridgeline_topographical(v2) = v1) | ~
% 11.71/2.46 | (ridgeline_topographical(v2) = v0))
% 11.71/2.46 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.71/2.46 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 11.71/2.46 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 11.71/2.46 | (f_tptpquantityfn_13(v2) = v1) | ~ (f_tptpquantityfn_13(v2) = v0))
% 11.71/2.46 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.71/2.46 | : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3,
% 11.71/2.46 | v2) = v0))
% 11.71/2.46 |
% 11.71/2.46 | DELTA: instantiating (8) with fresh symbols all_47_0, all_47_1 gives:
% 11.71/2.46 | (19) mtvisible(c_cyclistsmt) = all_47_1 &
% 11.71/2.46 | ridgeline_topographical(c_tptpridgeline_topographical) = all_47_0 & (
% 11.71/2.46 | ~ (all_47_1 = 0) | all_47_0 = 0)
% 11.71/2.46 |
% 11.71/2.46 | ALPHA: (19) implies:
% 11.71/2.46 | (20) ridgeline_topographical(c_tptpridgeline_topographical) = all_47_0
% 11.71/2.46 | (21) mtvisible(c_cyclistsmt) = all_47_1
% 11.71/2.46 | (22) ~ (all_47_1 = 0) | all_47_0 = 0
% 11.71/2.46 |
% 11.71/2.46 | DELTA: instantiating (14) with fresh symbols all_49_0, all_49_1 gives:
% 11.71/2.46 | (23) ~ (all_49_0 = 0) & f_tptpquantityfn_13(n_468) = all_49_1 &
% 11.71/2.46 | tptpofobject(c_tptpridgeline_topographical, all_49_1) = all_49_0 &
% 11.71/2.46 | mtvisible(c_tptp_spindlecollectormt) = 0 & $i(all_49_1)
% 11.71/2.46 |
% 11.71/2.46 | ALPHA: (23) implies:
% 11.71/2.46 | (24) ~ (all_49_0 = 0)
% 11.71/2.46 | (25) mtvisible(c_tptp_spindlecollectormt) = 0
% 11.71/2.46 | (26) tptpofobject(c_tptpridgeline_topographical, all_49_1) = all_49_0
% 11.71/2.46 | (27) f_tptpquantityfn_13(n_468) = all_49_1
% 11.71/2.46 |
% 11.71/2.46 | DELTA: instantiating (11) with fresh symbols all_51_0, all_51_1, all_51_2
% 11.71/2.46 | gives:
% 11.71/2.46 | (28) relationallinstance(c_tptpofobject, c_ridgeline_topographical,
% 11.71/2.46 | all_51_1) = all_51_0 & f_tptpquantityfn_13(n_468) = all_51_1 &
% 11.71/2.46 | mtvisible(c_tptp_member235_mt) = all_51_2 & $i(all_51_1) & ( ~
% 11.71/2.46 | (all_51_2 = 0) | all_51_0 = 0)
% 11.71/2.46 |
% 11.71/2.46 | ALPHA: (28) implies:
% 11.71/2.46 | (29) mtvisible(c_tptp_member235_mt) = all_51_2
% 11.71/2.46 |
% 11.71/2.46 | DELTA: instantiating (9) with fresh symbols all_53_0, all_53_1 gives:
% 11.71/2.47 | (30) f_tptpquantityfn_13(n_468) = all_53_0 & mtvisible(c_tptp_member235_mt)
% 11.71/2.47 | = all_53_1 & $i(all_53_0) & ! [v0: $i] : ! [v1: int] : ( ~ (all_53_1
% 11.71/2.47 | = 0) | v1 = 0 | ~ (tptpofobject(v0, all_53_0) = v1) | ~ $i(v0) |
% 11.71/2.47 | ? [v2: int] : ( ~ (v2 = 0) & ridgeline_topographical(v0) = v2))
% 11.71/2.47 |
% 11.71/2.47 | ALPHA: (30) implies:
% 11.71/2.47 | (31) mtvisible(c_tptp_member235_mt) = all_53_1
% 11.71/2.47 | (32) f_tptpquantityfn_13(n_468) = all_53_0
% 11.71/2.47 | (33) ! [v0: $i] : ! [v1: int] : ( ~ (all_53_1 = 0) | v1 = 0 | ~
% 11.71/2.47 | (tptpofobject(v0, all_53_0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 11.71/2.47 | (v2 = 0) & ridgeline_topographical(v0) = v2))
% 11.71/2.47 |
% 11.71/2.47 | GROUND_INST: instantiating (16) with all_51_2, all_53_1, c_tptp_member235_mt,
% 11.71/2.47 | simplifying with (29), (31) gives:
% 11.71/2.47 | (34) all_53_1 = all_51_2
% 11.71/2.47 |
% 11.71/2.47 | GROUND_INST: instantiating (17) with all_49_1, all_53_0, n_468, simplifying
% 11.71/2.47 | with (27), (32) gives:
% 11.71/2.47 | (35) all_53_0 = all_49_1
% 11.71/2.47 |
% 11.71/2.47 | GROUND_INST: instantiating (just48) with c_tptp_spindlecollectormt,
% 11.71/2.47 | c_cyclistsmt, all_47_1, simplifying with (7), (12), (21), (25)
% 11.71/2.47 | gives:
% 11.71/2.47 | (36) all_47_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.71/2.47 | genlmt(c_tptp_spindlecollectormt, c_cyclistsmt) = v0)
% 11.71/2.47 |
% 11.71/2.47 | GROUND_INST: instantiating (just48) with c_tptp_spindlecollectormt,
% 11.71/2.47 | c_tptp_member235_mt, all_51_2, simplifying with (10), (12), (25),
% 11.71/2.47 | (29) gives:
% 11.71/2.47 | (37) all_51_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.71/2.47 | genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = v0)
% 11.71/2.47 |
% 11.71/2.47 | BETA: splitting (37) gives:
% 11.71/2.47 |
% 11.71/2.47 | Case 1:
% 11.71/2.47 | |
% 11.71/2.47 | | (38) all_51_2 = 0
% 11.71/2.47 | |
% 11.71/2.47 | | COMBINE_EQS: (34), (38) imply:
% 11.71/2.47 | | (39) all_53_1 = 0
% 11.71/2.47 | |
% 11.71/2.47 | | BETA: splitting (22) gives:
% 11.71/2.47 | |
% 11.71/2.47 | | Case 1:
% 11.71/2.47 | | |
% 11.71/2.47 | | | (40) ~ (all_47_1 = 0)
% 11.71/2.47 | | |
% 11.71/2.47 | | | BETA: splitting (36) gives:
% 11.71/2.47 | | |
% 11.71/2.47 | | | Case 1:
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | (41) all_47_1 = 0
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | REDUCE: (40), (41) imply:
% 11.71/2.47 | | | | (42) $false
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | CLOSE: (42) is inconsistent.
% 11.71/2.47 | | | |
% 11.71/2.47 | | | Case 2:
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | (43) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 11.71/2.47 | | | | c_cyclistsmt) = v0)
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | DELTA: instantiating (43) with fresh symbol all_91_0 gives:
% 11.71/2.47 | | | | (44) ~ (all_91_0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 11.71/2.47 | | | | c_cyclistsmt) = all_91_0
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | ALPHA: (44) implies:
% 11.71/2.47 | | | | (45) ~ (all_91_0 = 0)
% 11.71/2.47 | | | | (46) genlmt(c_tptp_spindlecollectormt, c_cyclistsmt) = all_91_0
% 11.71/2.47 | | | |
% 11.71/2.47 | | | | GROUND_INST: instantiating (just53) with c_tptp_spindlecollectormt,
% 11.71/2.47 | | | | c_tptp_member3993_mt, c_cyclistsmt, all_91_0, simplifying
% 11.71/2.47 | | | | with (5), (6), (7), (12), (46) gives:
% 11.71/2.47 | | | | (47) all_91_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.71/2.48 | | | | genlmt(c_tptp_member3993_mt, c_cyclistsmt) = v0)
% 11.71/2.48 | | | |
% 11.71/2.48 | | | | BETA: splitting (47) gives:
% 11.71/2.48 | | | |
% 11.71/2.48 | | | | Case 1:
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | (48) all_91_0 = 0
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | REDUCE: (45), (48) imply:
% 11.71/2.48 | | | | | (49) $false
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | CLOSE: (49) is inconsistent.
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | Case 2:
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | (50) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_member3993_mt,
% 11.71/2.48 | | | | | c_cyclistsmt) = v0)
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | DELTA: instantiating (50) with fresh symbol all_115_0 gives:
% 11.71/2.48 | | | | | (51) ~ (all_115_0 = 0) & genlmt(c_tptp_member3993_mt,
% 11.71/2.48 | | | | | c_cyclistsmt) = all_115_0
% 11.71/2.48 | | | | |
% 11.71/2.48 | | | | | ALPHA: (51) implies:
% 11.71/2.48 | | | | | (52) ~ (all_115_0 = 0)
% 11.71/2.48 | | | | | (53) genlmt(c_tptp_member3993_mt, c_cyclistsmt) = all_115_0
% 12.14/2.48 | | | | |
% 12.14/2.48 | | | | | GROUND_INST: instantiating (just53) with c_tptp_member3993_mt,
% 12.14/2.48 | | | | | c_tptp_spindleheadmt, c_cyclistsmt, all_115_0,
% 12.14/2.48 | | | | | simplifying with (3), (4), (5), (7), (53) gives:
% 12.14/2.48 | | | | | (54) all_115_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.14/2.48 | | | | | genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = v0)
% 12.14/2.48 | | | | |
% 12.14/2.48 | | | | | BETA: splitting (54) gives:
% 12.14/2.48 | | | | |
% 12.14/2.48 | | | | | Case 1:
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | (55) all_115_0 = 0
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | REDUCE: (52), (55) imply:
% 12.14/2.48 | | | | | | (56) $false
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | CLOSE: (56) is inconsistent.
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | Case 2:
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | (57) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindleheadmt,
% 12.14/2.48 | | | | | | c_cyclistsmt) = v0)
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | DELTA: instantiating (57) with fresh symbol all_124_0 gives:
% 12.14/2.48 | | | | | | (58) ~ (all_124_0 = 0) & genlmt(c_tptp_spindleheadmt,
% 12.14/2.48 | | | | | | c_cyclistsmt) = all_124_0
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | ALPHA: (58) implies:
% 12.14/2.48 | | | | | | (59) ~ (all_124_0 = 0)
% 12.14/2.48 | | | | | | (60) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = all_124_0
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | GROUND_INST: instantiating (18) with 0, all_124_0, c_cyclistsmt,
% 12.14/2.48 | | | | | | c_tptp_spindleheadmt, simplifying with (1), (60) gives:
% 12.14/2.48 | | | | | | (61) all_124_0 = 0
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | REDUCE: (59), (61) imply:
% 12.14/2.48 | | | | | | (62) $false
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | | CLOSE: (62) is inconsistent.
% 12.14/2.48 | | | | | |
% 12.14/2.48 | | | | | End of split
% 12.14/2.48 | | | | |
% 12.14/2.48 | | | | End of split
% 12.14/2.48 | | | |
% 12.14/2.48 | | | End of split
% 12.14/2.48 | | |
% 12.14/2.48 | | Case 2:
% 12.14/2.48 | | |
% 12.14/2.48 | | | (63) all_47_0 = 0
% 12.14/2.48 | | |
% 12.14/2.48 | | | REDUCE: (20), (63) imply:
% 12.14/2.48 | | | (64) ridgeline_topographical(c_tptpridgeline_topographical) = 0
% 12.14/2.48 | | |
% 12.14/2.48 | | | GROUND_INST: instantiating (33) with c_tptpridgeline_topographical,
% 12.14/2.48 | | | all_49_0, simplifying with (13) gives:
% 12.14/2.48 | | | (65) ~ (all_53_1 = 0) | all_49_0 = 0 | ~
% 12.14/2.48 | | | (tptpofobject(c_tptpridgeline_topographical, all_53_0) = all_49_0)
% 12.14/2.48 | | | | ? [v0: int] : ( ~ (v0 = 0) &
% 12.14/2.48 | | | ridgeline_topographical(c_tptpridgeline_topographical) = v0)
% 12.14/2.48 | | |
% 12.14/2.48 | | | BETA: splitting (65) gives:
% 12.14/2.48 | | |
% 12.14/2.48 | | | Case 1:
% 12.14/2.48 | | | |
% 12.14/2.48 | | | | (66) ~ (tptpofobject(c_tptpridgeline_topographical, all_53_0) =
% 12.14/2.48 | | | | all_49_0)
% 12.14/2.48 | | | |
% 12.14/2.48 | | | | REDUCE: (35), (66) imply:
% 12.14/2.48 | | | | (67) ~ (tptpofobject(c_tptpridgeline_topographical, all_49_1) =
% 12.14/2.48 | | | | all_49_0)
% 12.14/2.48 | | | |
% 12.14/2.48 | | | | PRED_UNIFY: (26), (67) imply:
% 12.14/2.48 | | | | (68) $false
% 12.14/2.48 | | | |
% 12.14/2.48 | | | | CLOSE: (68) is inconsistent.
% 12.14/2.48 | | | |
% 12.14/2.48 | | | Case 2:
% 12.14/2.48 | | | |
% 12.14/2.49 | | | | (69) ~ (all_53_1 = 0) | all_49_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.14/2.49 | | | | ridgeline_topographical(c_tptpridgeline_topographical) = v0)
% 12.14/2.49 | | | |
% 12.14/2.49 | | | | BETA: splitting (69) gives:
% 12.14/2.49 | | | |
% 12.14/2.49 | | | | Case 1:
% 12.14/2.49 | | | | |
% 12.14/2.49 | | | | | (70) ~ (all_53_1 = 0)
% 12.14/2.49 | | | | |
% 12.19/2.49 | | | | | REDUCE: (39), (70) imply:
% 12.19/2.49 | | | | | (71) $false
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | | CLOSE: (71) is inconsistent.
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | Case 2:
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | | (72) all_49_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.19/2.49 | | | | | ridgeline_topographical(c_tptpridgeline_topographical) = v0)
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | | BETA: splitting (72) gives:
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | | Case 1:
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | (73) all_49_0 = 0
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | REDUCE: (24), (73) imply:
% 12.19/2.49 | | | | | | (74) $false
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | CLOSE: (74) is inconsistent.
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | Case 2:
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | (75) ? [v0: int] : ( ~ (v0 = 0) &
% 12.19/2.49 | | | | | | ridgeline_topographical(c_tptpridgeline_topographical) =
% 12.19/2.49 | | | | | | v0)
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | DELTA: instantiating (75) with fresh symbol all_110_0 gives:
% 12.19/2.49 | | | | | | (76) ~ (all_110_0 = 0) &
% 12.19/2.49 | | | | | | ridgeline_topographical(c_tptpridgeline_topographical) =
% 12.19/2.49 | | | | | | all_110_0
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | ALPHA: (76) implies:
% 12.19/2.49 | | | | | | (77) ~ (all_110_0 = 0)
% 12.19/2.49 | | | | | | (78) ridgeline_topographical(c_tptpridgeline_topographical) =
% 12.19/2.49 | | | | | | all_110_0
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | GROUND_INST: instantiating (15) with 0, all_110_0,
% 12.19/2.49 | | | | | | c_tptpridgeline_topographical, simplifying with (64),
% 12.19/2.49 | | | | | | (78) gives:
% 12.19/2.49 | | | | | | (79) all_110_0 = 0
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | REDUCE: (77), (79) imply:
% 12.19/2.49 | | | | | | (80) $false
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | | CLOSE: (80) is inconsistent.
% 12.19/2.49 | | | | | |
% 12.19/2.49 | | | | | End of split
% 12.19/2.49 | | | | |
% 12.19/2.49 | | | | End of split
% 12.19/2.49 | | | |
% 12.19/2.49 | | | End of split
% 12.19/2.49 | | |
% 12.19/2.49 | | End of split
% 12.19/2.49 | |
% 12.19/2.49 | Case 2:
% 12.19/2.49 | |
% 12.19/2.49 | | (81) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 12.19/2.49 | | c_tptp_member235_mt) = v0)
% 12.19/2.49 | |
% 12.19/2.49 | | DELTA: instantiating (81) with fresh symbol all_70_0 gives:
% 12.19/2.49 | | (82) ~ (all_70_0 = 0) & genlmt(c_tptp_spindlecollectormt,
% 12.19/2.49 | | c_tptp_member235_mt) = all_70_0
% 12.19/2.49 | |
% 12.19/2.49 | | ALPHA: (82) implies:
% 12.19/2.49 | | (83) ~ (all_70_0 = 0)
% 12.19/2.49 | | (84) genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = all_70_0
% 12.19/2.49 | |
% 12.19/2.49 | | GROUND_INST: instantiating (18) with 0, all_70_0, c_tptp_member235_mt,
% 12.19/2.49 | | c_tptp_spindlecollectormt, simplifying with (2), (84) gives:
% 12.19/2.49 | | (85) all_70_0 = 0
% 12.19/2.49 | |
% 12.19/2.49 | | REDUCE: (83), (85) imply:
% 12.19/2.49 | | (86) $false
% 12.19/2.49 | |
% 12.19/2.49 | | CLOSE: (86) is inconsistent.
% 12.19/2.49 | |
% 12.19/2.49 | End of split
% 12.19/2.49 |
% 12.19/2.49 End of proof
% 12.19/2.49 % SZS output end Proof for theBenchmark
% 12.19/2.49
% 12.19/2.49 1822ms
%------------------------------------------------------------------------------