TSTP Solution File: CSR068+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR068+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 : n003.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 21:37:08 EDT 2023
% Result : Theorem 7.71s 1.78s
% Output : Proof 11.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR068+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 13:04:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.62/0.64 ________ _____
% 0.62/0.64 ___ __ \_________(_)________________________________
% 0.62/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.62/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.62/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.62/0.64
% 0.62/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.62/0.64 (2023-06-19)
% 0.62/0.64
% 0.62/0.64 (c) Philipp Rümmer, 2009-2023
% 0.62/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.62/0.64 Amanda Stjerna.
% 0.62/0.64 Free software under BSD-3-Clause.
% 0.62/0.64
% 0.62/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.62/0.64
% 0.62/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.66 Running up to 7 provers in parallel.
% 0.62/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.62/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.62/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.62/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.62/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.62/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.62/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.21/1.14 Prover 4: Preprocessing ...
% 3.21/1.14 Prover 1: Preprocessing ...
% 3.21/1.18 Prover 5: Preprocessing ...
% 3.21/1.18 Prover 6: Preprocessing ...
% 3.21/1.18 Prover 2: Preprocessing ...
% 3.21/1.18 Prover 0: Preprocessing ...
% 3.21/1.18 Prover 3: Preprocessing ...
% 6.01/1.55 Prover 5: Proving ...
% 6.01/1.56 Prover 2: Proving ...
% 6.01/1.62 Prover 6: Constructing countermodel ...
% 6.73/1.65 Prover 3: Constructing countermodel ...
% 6.73/1.65 Prover 1: Constructing countermodel ...
% 7.19/1.75 Prover 4: Constructing countermodel ...
% 7.71/1.78 Prover 6: proved (1095ms)
% 7.71/1.78
% 7.71/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.71/1.78
% 7.71/1.79 Prover 2: stopped
% 7.71/1.79 Prover 5: stopped
% 7.71/1.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.71/1.79 Prover 3: stopped
% 7.71/1.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.71/1.80 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.00/1.81 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.00/1.82 Prover 0: Proving ...
% 8.00/1.82 Prover 0: stopped
% 8.00/1.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.25/1.88 Prover 8: Preprocessing ...
% 8.25/1.89 Prover 11: Preprocessing ...
% 8.25/1.90 Prover 7: Preprocessing ...
% 8.25/1.92 Prover 13: Preprocessing ...
% 8.25/1.92 Prover 10: Preprocessing ...
% 9.40/2.04 Prover 13: Warning: ignoring some quantifiers
% 9.40/2.05 Prover 7: Constructing countermodel ...
% 9.40/2.05 Prover 13: Constructing countermodel ...
% 9.40/2.06 Prover 10: Constructing countermodel ...
% 10.33/2.12 Prover 1: Found proof (size 44)
% 10.33/2.12 Prover 1: proved (1450ms)
% 10.33/2.12 Prover 4: stopped
% 10.33/2.12 Prover 7: stopped
% 10.33/2.12 Prover 10: stopped
% 10.33/2.12 Prover 13: stopped
% 10.33/2.14 Prover 8: Warning: ignoring some quantifiers
% 10.33/2.15 Prover 8: Constructing countermodel ...
% 10.58/2.16 Prover 8: stopped
% 10.58/2.22 Prover 11: Constructing countermodel ...
% 10.58/2.23 Prover 11: stopped
% 10.58/2.23
% 10.58/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.58/2.23
% 11.00/2.24 % SZS output start Proof for theBenchmark
% 11.00/2.25 Assumptions after simplification:
% 11.00/2.25 ---------------------------------
% 11.00/2.25
% 11.00/2.25 (just10)
% 11.00/2.27 $i(c_furpelt) & $i(c_tptpofobject) & $i(n_328) & $i(c_tptp_spindleheadmt) & ?
% 11.00/2.27 [v0: any] : ? [v1: $i] : ? [v2: any] : (relationallinstance(c_tptpofobject,
% 11.00/2.27 c_furpelt, v1) = v2 & mtvisible(c_tptp_spindleheadmt) = v0 &
% 11.00/2.27 f_tptpquantityfn_1(n_328) = v1 & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 11.00/2.27
% 11.00/2.27 (just47)
% 11.00/2.27 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) |
% 11.00/2.27 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 11.00/2.27 & genlmt(v0, v1) = v3))
% 11.00/2.27
% 11.00/2.27 (just7)
% 11.00/2.27 genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = 0 &
% 11.00/2.27 $i(c_tptp_member2356_mt) & $i(c_tptp_spindleheadmt)
% 11.00/2.27
% 11.00/2.27 (just8)
% 11.00/2.27 furpelt(c_theprototypicalfurpelt) = 0 & $i(c_theprototypicalfurpelt)
% 11.00/2.27
% 11.00/2.27 (just9)
% 11.00/2.27 $i(n_328) & $i(c_tptp_spindleheadmt) & ? [v0: any] : ? [v1: $i] :
% 11.00/2.27 (mtvisible(c_tptp_spindleheadmt) = v0 & f_tptpquantityfn_1(n_328) = v1 &
% 11.00/2.27 $i(v1) & ! [v2: $i] : ! [v3: int] : ( ~ (v0 = 0) | v3 = 0 | ~
% 11.00/2.27 (tptpofobject(v2, v1) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 11.00/2.27 furpelt(v2) = v4)))
% 11.00/2.27
% 11.00/2.27 (query68)
% 11.00/2.28 $i(n_328) & $i(c_theprototypicalfurpelt) & $i(c_tptp_member2356_mt) & ? [v0:
% 11.00/2.28 $i] : ? [v1: int] : ( ~ (v1 = 0) & mtvisible(c_tptp_member2356_mt) = 0 &
% 11.00/2.28 f_tptpquantityfn_1(n_328) = v0 & tptpofobject(c_theprototypicalfurpelt, v0)
% 11.00/2.28 = v1 & $i(v0))
% 11.00/2.28
% 11.00/2.28 (function-axioms)
% 11.19/2.29 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.19/2.29 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~
% 11.19/2.29 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 11.19/2.29 (relationallinstance(v4, v3, v2) = v1) | ~ (relationallinstance(v4, v3, v2)
% 11.19/2.29 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.19/2.29 $i] : ! [v3: $i] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~
% 11.19/2.29 (natfunction(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3,
% 11.19/2.29 v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.19/2.29 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.19/2.29 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 11.19/2.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.19/2.29 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & !
% 11.19/2.29 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 11.19/2.29 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) =
% 11.19/2.29 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.19/2.29 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 11.19/2.29 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.19/2.29 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptpofobject(v3, v2) = v1) | ~
% 11.19/2.29 (tptpofobject(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3,
% 11.19/2.29 v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.19/2.29 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) |
% 11.19/2.29 ~ (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~
% 11.19/2.29 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 11.19/2.29 : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = v1) | ~
% 11.19/2.29 (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpquantity(v2) = v1) |
% 11.19/2.29 ~ (tptpquantity(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 11.19/2.29 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 11.19/2.29 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 11.19/2.29 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.19/2.29 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 11.19/2.29 (mtvisible(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 11.19/2.29 ~ (f_tptpquantityfn_1(v2) = v1) | ~ (f_tptpquantityfn_1(v2) = v0)) & !
% 11.19/2.29 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 11.19/2.29 | ~ (furpelt(v2) = v1) | ~ (furpelt(v2) = v0)) & ! [v0:
% 11.19/2.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.19/2.29 ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 11.19/2.29 v0))
% 11.19/2.29
% 11.19/2.29 Further assumptions not needed in the proof:
% 11.19/2.29 --------------------------------------------
% 11.19/2.29 just1, just11, just12, just13, just14, just15, just16, just17, just18, just19,
% 11.19/2.29 just2, just20, just21, just22, just23, just24, just25, just26, just27, just28,
% 11.19/2.29 just29, just3, just30, just31, just32, just33, just34, just35, just36, just37,
% 11.19/2.29 just38, just39, just4, just40, just41, just42, just43, just44, just45, just46,
% 11.19/2.29 just48, just49, just5, just50, just51, just52, just53, just54, just55, just6
% 11.19/2.29
% 11.19/2.29 Those formulas are unsatisfiable:
% 11.19/2.29 ---------------------------------
% 11.19/2.29
% 11.19/2.29 Begin of proof
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (just7) implies:
% 11.19/2.29 | (1) genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = 0
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (just8) implies:
% 11.19/2.29 | (2) furpelt(c_theprototypicalfurpelt) = 0
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (just9) implies:
% 11.19/2.29 | (3) ? [v0: any] : ? [v1: $i] : (mtvisible(c_tptp_spindleheadmt) = v0 &
% 11.19/2.29 | f_tptpquantityfn_1(n_328) = v1 & $i(v1) & ! [v2: $i] : ! [v3: int]
% 11.19/2.29 | : ( ~ (v0 = 0) | v3 = 0 | ~ (tptpofobject(v2, v1) = v3) | ~ $i(v2)
% 11.19/2.29 | | ? [v4: int] : ( ~ (v4 = 0) & furpelt(v2) = v4)))
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (just10) implies:
% 11.19/2.29 | (4) $i(c_tptp_spindleheadmt)
% 11.19/2.29 | (5) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 11.19/2.29 | (relationallinstance(c_tptpofobject, c_furpelt, v1) = v2 &
% 11.19/2.29 | mtvisible(c_tptp_spindleheadmt) = v0 & f_tptpquantityfn_1(n_328) = v1
% 11.19/2.29 | & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (query68) implies:
% 11.19/2.29 | (6) $i(c_tptp_member2356_mt)
% 11.19/2.29 | (7) $i(c_theprototypicalfurpelt)
% 11.19/2.29 | (8) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 11.19/2.29 | mtvisible(c_tptp_member2356_mt) = 0 & f_tptpquantityfn_1(n_328) = v0
% 11.19/2.29 | & tptpofobject(c_theprototypicalfurpelt, v0) = v1 & $i(v0))
% 11.19/2.29 |
% 11.19/2.29 | ALPHA: (function-axioms) implies:
% 11.19/2.29 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 11.19/2.29 | (v1 = v0 | ~ (furpelt(v2) = v1) | ~ (furpelt(v2) = v0))
% 11.19/2.30 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 11.19/2.30 | (f_tptpquantityfn_1(v2) = v1) | ~ (f_tptpquantityfn_1(v2) = v0))
% 11.19/2.30 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.19/2.30 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 11.19/2.30 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.19/2.30 | : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3,
% 11.19/2.30 | v2) = v0))
% 11.19/2.30 |
% 11.19/2.30 | DELTA: instantiating (8) with fresh symbols all_47_0, all_47_1 gives:
% 11.19/2.30 | (13) ~ (all_47_0 = 0) & mtvisible(c_tptp_member2356_mt) = 0 &
% 11.19/2.30 | f_tptpquantityfn_1(n_328) = all_47_1 &
% 11.19/2.30 | tptpofobject(c_theprototypicalfurpelt, all_47_1) = all_47_0 &
% 11.19/2.30 | $i(all_47_1)
% 11.19/2.30 |
% 11.19/2.30 | ALPHA: (13) implies:
% 11.19/2.30 | (14) ~ (all_47_0 = 0)
% 11.19/2.30 | (15) tptpofobject(c_theprototypicalfurpelt, all_47_1) = all_47_0
% 11.19/2.30 | (16) f_tptpquantityfn_1(n_328) = all_47_1
% 11.19/2.30 | (17) mtvisible(c_tptp_member2356_mt) = 0
% 11.19/2.30 |
% 11.19/2.30 | DELTA: instantiating (5) with fresh symbols all_49_0, all_49_1, all_49_2
% 11.19/2.30 | gives:
% 11.19/2.30 | (18) relationallinstance(c_tptpofobject, c_furpelt, all_49_1) = all_49_0 &
% 11.19/2.30 | mtvisible(c_tptp_spindleheadmt) = all_49_2 & f_tptpquantityfn_1(n_328)
% 11.19/2.30 | = all_49_1 & $i(all_49_1) & ( ~ (all_49_2 = 0) | all_49_0 = 0)
% 11.19/2.30 |
% 11.19/2.30 | ALPHA: (18) implies:
% 11.19/2.30 | (19) f_tptpquantityfn_1(n_328) = all_49_1
% 11.19/2.30 | (20) mtvisible(c_tptp_spindleheadmt) = all_49_2
% 11.19/2.30 |
% 11.19/2.30 | DELTA: instantiating (3) with fresh symbols all_51_0, all_51_1 gives:
% 11.19/2.30 | (21) mtvisible(c_tptp_spindleheadmt) = all_51_1 & f_tptpquantityfn_1(n_328)
% 11.19/2.30 | = all_51_0 & $i(all_51_0) & ! [v0: $i] : ! [v1: int] : ( ~ (all_51_1
% 11.19/2.30 | = 0) | v1 = 0 | ~ (tptpofobject(v0, all_51_0) = v1) | ~ $i(v0) |
% 11.19/2.30 | ? [v2: int] : ( ~ (v2 = 0) & furpelt(v0) = v2))
% 11.19/2.30 |
% 11.19/2.30 | ALPHA: (21) implies:
% 11.19/2.30 | (22) f_tptpquantityfn_1(n_328) = all_51_0
% 11.19/2.30 | (23) mtvisible(c_tptp_spindleheadmt) = all_51_1
% 11.19/2.30 | (24) ! [v0: $i] : ! [v1: int] : ( ~ (all_51_1 = 0) | v1 = 0 | ~
% 11.19/2.30 | (tptpofobject(v0, all_51_0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 11.19/2.30 | (v2 = 0) & furpelt(v0) = v2))
% 11.19/2.30 |
% 11.19/2.30 | GROUND_INST: instantiating (10) with all_49_1, all_51_0, n_328, simplifying
% 11.19/2.30 | with (19), (22) gives:
% 11.19/2.30 | (25) all_51_0 = all_49_1
% 11.19/2.30 |
% 11.19/2.30 | GROUND_INST: instantiating (10) with all_47_1, all_51_0, n_328, simplifying
% 11.19/2.30 | with (16), (22) gives:
% 11.19/2.30 | (26) all_51_0 = all_47_1
% 11.19/2.30 |
% 11.19/2.30 | GROUND_INST: instantiating (11) with all_49_2, all_51_1, c_tptp_spindleheadmt,
% 11.19/2.30 | simplifying with (20), (23) gives:
% 11.19/2.30 | (27) all_51_1 = all_49_2
% 11.19/2.30 |
% 11.19/2.30 | COMBINE_EQS: (25), (26) imply:
% 11.19/2.30 | (28) all_49_1 = all_47_1
% 11.19/2.30 |
% 11.19/2.30 | GROUND_INST: instantiating (just47) with c_tptp_member2356_mt,
% 11.19/2.30 | c_tptp_spindleheadmt, all_49_2, simplifying with (4), (6), (17),
% 11.19/2.30 | (20) gives:
% 11.19/2.30 | (29) all_49_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.19/2.30 | genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = v0)
% 11.19/2.30 |
% 11.19/2.30 | BETA: splitting (29) gives:
% 11.19/2.30 |
% 11.19/2.30 | Case 1:
% 11.19/2.30 | |
% 11.19/2.30 | | (30) all_49_2 = 0
% 11.19/2.30 | |
% 11.19/2.31 | | COMBINE_EQS: (27), (30) imply:
% 11.19/2.31 | | (31) all_51_1 = 0
% 11.19/2.31 | |
% 11.19/2.31 | | GROUND_INST: instantiating (24) with c_theprototypicalfurpelt, all_47_0,
% 11.19/2.31 | | simplifying with (7) gives:
% 11.19/2.31 | | (32) ~ (all_51_1 = 0) | all_47_0 = 0 | ~
% 11.19/2.31 | | (tptpofobject(c_theprototypicalfurpelt, all_51_0) = all_47_0) | ?
% 11.19/2.31 | | [v0: int] : ( ~ (v0 = 0) & furpelt(c_theprototypicalfurpelt) = v0)
% 11.19/2.31 | |
% 11.19/2.31 | | BETA: splitting (32) gives:
% 11.19/2.31 | |
% 11.19/2.31 | | Case 1:
% 11.19/2.31 | | |
% 11.19/2.31 | | | (33) ~ (tptpofobject(c_theprototypicalfurpelt, all_51_0) = all_47_0)
% 11.19/2.31 | | |
% 11.19/2.31 | | | REDUCE: (26), (33) imply:
% 11.19/2.31 | | | (34) ~ (tptpofobject(c_theprototypicalfurpelt, all_47_1) = all_47_0)
% 11.19/2.31 | | |
% 11.19/2.31 | | | PRED_UNIFY: (15), (34) imply:
% 11.19/2.31 | | | (35) $false
% 11.19/2.31 | | |
% 11.19/2.31 | | | CLOSE: (35) is inconsistent.
% 11.19/2.31 | | |
% 11.19/2.31 | | Case 2:
% 11.19/2.31 | | |
% 11.19/2.31 | | | (36) ~ (all_51_1 = 0) | all_47_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.19/2.31 | | | furpelt(c_theprototypicalfurpelt) = v0)
% 11.19/2.31 | | |
% 11.19/2.31 | | | BETA: splitting (36) gives:
% 11.19/2.31 | | |
% 11.19/2.31 | | | Case 1:
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | (37) ~ (all_51_1 = 0)
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | REDUCE: (31), (37) imply:
% 11.19/2.31 | | | | (38) $false
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | CLOSE: (38) is inconsistent.
% 11.19/2.31 | | | |
% 11.19/2.31 | | | Case 2:
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | (39) all_47_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.19/2.31 | | | | furpelt(c_theprototypicalfurpelt) = v0)
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | BETA: splitting (39) gives:
% 11.19/2.31 | | | |
% 11.19/2.31 | | | | Case 1:
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | (40) all_47_0 = 0
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | REDUCE: (14), (40) imply:
% 11.19/2.31 | | | | | (41) $false
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | CLOSE: (41) is inconsistent.
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | Case 2:
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | (42) ? [v0: int] : ( ~ (v0 = 0) &
% 11.19/2.31 | | | | | furpelt(c_theprototypicalfurpelt) = v0)
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | DELTA: instantiating (42) with fresh symbol all_101_0 gives:
% 11.19/2.31 | | | | | (43) ~ (all_101_0 = 0) & furpelt(c_theprototypicalfurpelt) =
% 11.19/2.31 | | | | | all_101_0
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | ALPHA: (43) implies:
% 11.19/2.31 | | | | | (44) ~ (all_101_0 = 0)
% 11.19/2.31 | | | | | (45) furpelt(c_theprototypicalfurpelt) = all_101_0
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | GROUND_INST: instantiating (9) with 0, all_101_0,
% 11.19/2.31 | | | | | c_theprototypicalfurpelt, simplifying with (2), (45)
% 11.19/2.31 | | | | | gives:
% 11.19/2.31 | | | | | (46) all_101_0 = 0
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | REDUCE: (44), (46) imply:
% 11.19/2.31 | | | | | (47) $false
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | | CLOSE: (47) is inconsistent.
% 11.19/2.31 | | | | |
% 11.19/2.31 | | | | End of split
% 11.19/2.31 | | | |
% 11.19/2.31 | | | End of split
% 11.19/2.31 | | |
% 11.19/2.31 | | End of split
% 11.19/2.31 | |
% 11.19/2.31 | Case 2:
% 11.19/2.31 | |
% 11.19/2.31 | | (48) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_member2356_mt,
% 11.19/2.31 | | c_tptp_spindleheadmt) = v0)
% 11.19/2.31 | |
% 11.19/2.31 | | DELTA: instantiating (48) with fresh symbol all_68_0 gives:
% 11.19/2.31 | | (49) ~ (all_68_0 = 0) & genlmt(c_tptp_member2356_mt,
% 11.19/2.31 | | c_tptp_spindleheadmt) = all_68_0
% 11.19/2.31 | |
% 11.19/2.31 | | ALPHA: (49) implies:
% 11.19/2.31 | | (50) ~ (all_68_0 = 0)
% 11.19/2.31 | | (51) genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = all_68_0
% 11.19/2.31 | |
% 11.19/2.31 | | GROUND_INST: instantiating (12) with 0, all_68_0, c_tptp_spindleheadmt,
% 11.19/2.31 | | c_tptp_member2356_mt, simplifying with (1), (51) gives:
% 11.19/2.31 | | (52) all_68_0 = 0
% 11.19/2.31 | |
% 11.19/2.31 | | REDUCE: (50), (52) imply:
% 11.19/2.31 | | (53) $false
% 11.19/2.31 | |
% 11.19/2.31 | | CLOSE: (53) is inconsistent.
% 11.19/2.31 | |
% 11.19/2.31 | End of split
% 11.19/2.31 |
% 11.19/2.31 End of proof
% 11.19/2.31 % SZS output end Proof for theBenchmark
% 11.19/2.31
% 11.19/2.31 1670ms
%------------------------------------------------------------------------------