TSTP Solution File: CSR073+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR073+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 21:37:13 EDT 2023
% Result : Theorem 12.07s 2.36s
% Output : Proof 13.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR073+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 09:42:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.26/1.19 Prover 1: Preprocessing ...
% 3.26/1.19 Prover 4: Preprocessing ...
% 3.26/1.23 Prover 0: Preprocessing ...
% 3.26/1.23 Prover 6: Preprocessing ...
% 3.26/1.23 Prover 3: Preprocessing ...
% 3.26/1.23 Prover 2: Preprocessing ...
% 3.26/1.23 Prover 5: Preprocessing ...
% 5.70/1.57 Prover 2: Constructing countermodel ...
% 6.19/1.58 Prover 5: Proving ...
% 7.04/1.72 Prover 3: Warning: ignoring some quantifiers
% 7.04/1.72 Prover 6: Proving ...
% 7.04/1.72 Prover 1: Warning: ignoring some quantifiers
% 7.40/1.74 Prover 3: Constructing countermodel ...
% 7.40/1.77 Prover 1: Constructing countermodel ...
% 8.00/1.81 Prover 4: Constructing countermodel ...
% 8.00/1.83 Prover 0: Proving ...
% 10.42/2.14 Prover 3: gave up
% 10.42/2.16 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.42/2.20 Prover 1: gave up
% 10.42/2.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.96/2.21 Prover 7: Preprocessing ...
% 10.96/2.25 Prover 8: Preprocessing ...
% 11.41/2.28 Prover 7: Constructing countermodel ...
% 12.07/2.36 Prover 6: proved (1711ms)
% 12.07/2.36
% 12.07/2.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.07/2.36
% 12.07/2.36 Prover 2: stopped
% 12.07/2.36 Prover 0: stopped
% 12.07/2.36 Prover 5: stopped
% 12.07/2.36 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.07/2.36 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.07/2.36 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.07/2.36 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 12.29/2.40 Prover 13: Preprocessing ...
% 12.29/2.40 Prover 16: Preprocessing ...
% 12.29/2.41 Prover 11: Preprocessing ...
% 12.29/2.41 Prover 10: Preprocessing ...
% 12.63/2.43 Prover 8: Warning: ignoring some quantifiers
% 12.74/2.45 Prover 8: Constructing countermodel ...
% 12.74/2.47 Prover 16: Constructing countermodel ...
% 12.74/2.48 Prover 13: Constructing countermodel ...
% 12.74/2.49 Prover 10: Constructing countermodel ...
% 13.28/2.53 Prover 4: Found proof (size 39)
% 13.28/2.53 Prover 4: proved (1889ms)
% 13.28/2.53 Prover 13: stopped
% 13.28/2.53 Prover 7: stopped
% 13.28/2.53 Prover 8: stopped
% 13.28/2.53 Prover 16: stopped
% 13.28/2.54 Prover 10: stopped
% 13.62/2.62 Prover 11: Constructing countermodel ...
% 13.62/2.63 Prover 11: stopped
% 13.62/2.63
% 13.62/2.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.62/2.63
% 13.62/2.64 % SZS output start Proof for theBenchmark
% 13.62/2.64 Assumptions after simplification:
% 13.62/2.64 ---------------------------------
% 13.62/2.64
% 13.62/2.64 (just11)
% 13.62/2.67 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_7_396(v0,
% 13.62/2.67 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 13.62/2.67 tptptypes_8_400(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 13.62/2.67 (tptptypes_8_400(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_7_396(v0,
% 13.62/2.67 v1) = 0)
% 13.62/2.67
% 13.62/2.67 (just13)
% 13.62/2.67 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_8_400(v1,
% 13.62/2.67 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 13.62/2.67 tptptypes_9_401(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 13.62/2.67 (tptptypes_9_401(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_8_400(v1,
% 13.62/2.67 v0) = 0)
% 13.62/2.67
% 13.62/2.67 (just15)
% 13.62/2.67 genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt) = 0 &
% 13.62/2.67 $i(c_tptp_member237_mt) & $i(c_tptp_spindlecollectormt)
% 13.62/2.67
% 13.62/2.67 (just17)
% 13.62/2.67 genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0 &
% 13.62/2.67 $i(c_tptp_member3993_mt) & $i(c_tptp_spindlecollectormt)
% 13.62/2.67
% 13.62/2.67 (just18)
% 13.62/2.67 $i(c_tptpcol_16_10258) & $i(c_pushingababycarriage) & $i(c_tptp_member237_mt)
% 13.62/2.67 & ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member237_mt) = v0 &
% 13.62/2.67 tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258) = v1 & ( ~ (v0 =
% 13.62/2.67 0) | v1 = 0))
% 13.62/2.67
% 13.62/2.67 (just27)
% 13.62/2.67 $i(c_tptpcol_16_10258) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 13.62/2.67 c_tptpcol_16_10258) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 13.62/2.67 tptpcol_16_10258(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_10258(v0) = 0)
% 13.62/2.67 | ~ $i(v0) | isa(v0, c_tptpcol_16_10258) = 0)
% 13.62/2.67
% 13.62/2.67 (just59)
% 13.62/2.68 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 13.62/2.68 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~
% 13.62/2.68 (v2 = 0) | v3 = 0)))
% 13.62/2.68
% 13.62/2.68 (just7)
% 13.62/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_5_387(v0,
% 13.62/2.68 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 13.62/2.68 tptptypes_6_388(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 13.62/2.68 (tptptypes_6_388(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_5_387(v0,
% 13.62/2.68 v1) = 0)
% 13.62/2.68
% 13.62/2.68 (just9)
% 13.62/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_6_388(v0,
% 13.62/2.68 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 13.62/2.68 tptptypes_7_396(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 13.62/2.68 (tptptypes_7_396(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_6_388(v0,
% 13.62/2.68 v1) = 0)
% 13.62/2.68
% 13.62/2.68 (query73)
% 13.62/2.68 mtvisible(c_tptp_spindlecollectormt) = 0 & $i(c_pushingababycarriage) &
% 13.62/2.68 $i(c_tptp_spindlecollectormt) & ! [v0: $i] : ( ~ (tptptypes_5_387(v0,
% 13.62/2.68 c_pushingababycarriage) = 0) | ~ $i(v0))
% 13.62/2.68
% 13.62/2.68 (function-axioms)
% 13.62/2.69 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 13.62/2.69 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 13.62/2.69 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 13.62/2.69 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) =
% 13.62/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.62/2.69 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 13.62/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.62/2.69 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_9_401(v3, v2) = v1) | ~
% 13.62/2.69 (tptptypes_9_401(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.62/2.69 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.62/2.69 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 13.62/2.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.62/2.69 : (v1 = v0 | ~ (tptptypes_8_400(v3, v2) = v1) | ~ (tptptypes_8_400(v3, v2) =
% 13.62/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.62/2.69 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_7_396(v3, v2) = v1) | ~
% 13.62/2.69 (tptptypes_7_396(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.62/2.69 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.62/2.69 (tptptypes_5_387(v3, v2) = v1) | ~ (tptptypes_5_387(v3, v2) = v0)) & !
% 13.62/2.69 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 13.62/2.69 $i] : (v1 = v0 | ~ (tptptypes_6_388(v3, v2) = v1) | ~ (tptptypes_6_388(v3,
% 13.62/2.69 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 13.62/2.69 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~
% 13.62/2.69 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.62/2.69 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3,
% 13.62/2.69 v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.62/2.69 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) |
% 13.62/2.69 ~ (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.62/2.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~
% 13.62/2.69 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 13.62/2.69 : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0))
% 13.62/2.69 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 13.62/2.69 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0)) & !
% 13.62/2.69 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 13.62/2.69 | ~ (firstordercollection(v2) = v1) | ~ (firstordercollection(v2) = v0)) &
% 13.62/2.69 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 13.62/2.69 v0 | ~ (pushingababycarriage(v2) = v1) | ~ (pushingababycarriage(v2) =
% 13.62/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.62/2.69 $i] : (v1 = v0 | ~ (tptpcol_16_10258(v2) = v1) | ~ (tptpcol_16_10258(v2) =
% 13.62/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.62/2.69 $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & !
% 13.62/2.69 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 13.62/2.69 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0:
% 13.62/2.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.62/2.69 ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 13.62/2.69 v0))
% 13.62/2.69
% 13.62/2.69 Further assumptions not needed in the proof:
% 13.62/2.69 --------------------------------------------
% 13.62/2.70 just1, just10, just12, just14, just16, just19, just2, just20, just21, just22,
% 13.62/2.70 just23, just24, just25, just26, just28, just29, just3, just30, just31, just32,
% 13.62/2.70 just33, just34, just35, just36, just37, just38, just39, just4, just40, just41,
% 13.62/2.70 just42, just43, just44, just45, just46, just47, just48, just49, just5, just50,
% 13.62/2.70 just51, just52, just53, just54, just55, just56, just57, just58, just6, just60,
% 13.62/2.70 just61, just62, just63, just64, just65, just66, just67, just8
% 13.62/2.70
% 13.62/2.70 Those formulas are unsatisfiable:
% 13.62/2.70 ---------------------------------
% 13.62/2.70
% 13.62/2.70 Begin of proof
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just7) implies:
% 13.62/2.70 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_6_388(v0, v1) = 0) | ~
% 13.62/2.70 | $i(v1) | ~ $i(v0) | tptptypes_5_387(v0, v1) = 0)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just9) implies:
% 13.62/2.70 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_7_396(v0, v1) = 0) | ~
% 13.62/2.70 | $i(v1) | ~ $i(v0) | tptptypes_6_388(v0, v1) = 0)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just11) implies:
% 13.62/2.70 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_8_400(v0, v1) = 0) | ~
% 13.62/2.70 | $i(v1) | ~ $i(v0) | tptptypes_7_396(v0, v1) = 0)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just13) implies:
% 13.62/2.70 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_9_401(v0, v1) = 0) | ~
% 13.62/2.70 | $i(v1) | ~ $i(v0) | tptptypes_8_400(v1, v0) = 0)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just15) implies:
% 13.62/2.70 | (5) genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt) = 0
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just17) implies:
% 13.62/2.70 | (6) $i(c_tptp_member3993_mt)
% 13.62/2.70 | (7) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = 0
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just18) implies:
% 13.62/2.70 | (8) $i(c_tptp_member237_mt)
% 13.62/2.70 | (9) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member237_mt) = v0 &
% 13.62/2.70 | tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258) = v1 & (
% 13.62/2.70 | ~ (v0 = 0) | v1 = 0))
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (just27) implies:
% 13.62/2.70 | (10) $i(c_tptpcol_16_10258)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (query73) implies:
% 13.62/2.70 | (11) $i(c_tptp_spindlecollectormt)
% 13.62/2.70 | (12) $i(c_pushingababycarriage)
% 13.62/2.70 | (13) mtvisible(c_tptp_spindlecollectormt) = 0
% 13.62/2.70 | (14) ! [v0: $i] : ( ~ (tptptypes_5_387(v0, c_pushingababycarriage) = 0) |
% 13.62/2.70 | ~ $i(v0))
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (function-axioms) implies:
% 13.62/2.70 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.62/2.70 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 13.62/2.70 |
% 13.62/2.70 | DELTA: instantiating (9) with fresh symbols all_56_0, all_56_1 gives:
% 13.62/2.70 | (16) mtvisible(c_tptp_member237_mt) = all_56_1 &
% 13.62/2.70 | tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258) = all_56_0
% 13.62/2.70 | & ( ~ (all_56_1 = 0) | all_56_0 = 0)
% 13.62/2.70 |
% 13.62/2.70 | ALPHA: (16) implies:
% 13.62/2.70 | (17) tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258) = all_56_0
% 13.62/2.70 | (18) mtvisible(c_tptp_member237_mt) = all_56_1
% 13.62/2.70 | (19) ~ (all_56_1 = 0) | all_56_0 = 0
% 13.62/2.70 |
% 13.62/2.71 | GROUND_INST: instantiating (just59) with c_tptp_spindlecollectormt,
% 13.62/2.71 | c_tptp_member237_mt, simplifying with (5), (8), (11) gives:
% 13.62/2.71 | (20) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member237_mt) = v1 &
% 13.62/2.71 | mtvisible(c_tptp_spindlecollectormt) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 13.62/2.71 |
% 13.62/2.71 | GROUND_INST: instantiating (just59) with c_tptp_spindlecollectormt,
% 13.62/2.71 | c_tptp_member3993_mt, simplifying with (6), (7), (11) gives:
% 13.62/2.71 | (21) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3993_mt) = v1 &
% 13.62/2.71 | mtvisible(c_tptp_spindlecollectormt) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 13.62/2.71 |
% 13.62/2.71 | DELTA: instantiating (20) with fresh symbols all_68_0, all_68_1 gives:
% 13.62/2.71 | (22) mtvisible(c_tptp_member237_mt) = all_68_0 &
% 13.62/2.71 | mtvisible(c_tptp_spindlecollectormt) = all_68_1 & ( ~ (all_68_1 = 0) |
% 13.62/2.71 | all_68_0 = 0)
% 13.62/2.71 |
% 13.62/2.71 | ALPHA: (22) implies:
% 13.62/2.71 | (23) mtvisible(c_tptp_spindlecollectormt) = all_68_1
% 13.62/2.71 | (24) mtvisible(c_tptp_member237_mt) = all_68_0
% 13.62/2.71 | (25) ~ (all_68_1 = 0) | all_68_0 = 0
% 13.62/2.71 |
% 13.62/2.71 | DELTA: instantiating (21) with fresh symbols all_76_0, all_76_1 gives:
% 13.62/2.71 | (26) mtvisible(c_tptp_member3993_mt) = all_76_0 &
% 13.62/2.71 | mtvisible(c_tptp_spindlecollectormt) = all_76_1 & ( ~ (all_76_1 = 0) |
% 13.62/2.71 | all_76_0 = 0)
% 13.62/2.71 |
% 13.62/2.71 | ALPHA: (26) implies:
% 13.62/2.71 | (27) mtvisible(c_tptp_spindlecollectormt) = all_76_1
% 13.62/2.71 |
% 13.62/2.71 | GROUND_INST: instantiating (15) with 0, all_76_1, c_tptp_spindlecollectormt,
% 13.62/2.71 | simplifying with (13), (27) gives:
% 13.62/2.71 | (28) all_76_1 = 0
% 13.62/2.71 |
% 13.62/2.71 | GROUND_INST: instantiating (15) with all_68_1, all_76_1,
% 13.62/2.71 | c_tptp_spindlecollectormt, simplifying with (23), (27) gives:
% 13.62/2.71 | (29) all_76_1 = all_68_1
% 13.62/2.71 |
% 13.62/2.71 | GROUND_INST: instantiating (15) with all_56_1, all_68_0, c_tptp_member237_mt,
% 13.62/2.71 | simplifying with (18), (24) gives:
% 13.62/2.71 | (30) all_68_0 = all_56_1
% 13.62/2.71 |
% 13.62/2.71 | COMBINE_EQS: (28), (29) imply:
% 13.62/2.71 | (31) all_68_1 = 0
% 13.62/2.71 |
% 13.62/2.71 | BETA: splitting (25) gives:
% 13.62/2.71 |
% 13.62/2.71 | Case 1:
% 13.62/2.71 | |
% 13.62/2.71 | | (32) ~ (all_68_1 = 0)
% 13.62/2.71 | |
% 13.62/2.71 | | REDUCE: (31), (32) imply:
% 13.62/2.71 | | (33) $false
% 13.62/2.71 | |
% 13.62/2.71 | | CLOSE: (33) is inconsistent.
% 13.62/2.71 | |
% 13.62/2.71 | Case 2:
% 13.62/2.71 | |
% 13.62/2.71 | | (34) all_68_0 = 0
% 13.62/2.71 | |
% 13.62/2.71 | | COMBINE_EQS: (30), (34) imply:
% 13.62/2.71 | | (35) all_56_1 = 0
% 13.62/2.71 | |
% 13.62/2.71 | | SIMP: (35) implies:
% 13.62/2.71 | | (36) all_56_1 = 0
% 13.62/2.71 | |
% 13.62/2.71 | | BETA: splitting (19) gives:
% 13.62/2.71 | |
% 13.62/2.71 | | Case 1:
% 13.62/2.71 | | |
% 13.62/2.71 | | | (37) ~ (all_56_1 = 0)
% 13.62/2.71 | | |
% 13.62/2.71 | | | REDUCE: (36), (37) imply:
% 13.62/2.71 | | | (38) $false
% 13.62/2.71 | | |
% 13.62/2.71 | | | CLOSE: (38) is inconsistent.
% 13.62/2.71 | | |
% 13.62/2.71 | | Case 2:
% 13.62/2.71 | | |
% 13.62/2.71 | | | (39) all_56_0 = 0
% 13.62/2.71 | | |
% 13.62/2.71 | | | REDUCE: (17), (39) imply:
% 13.62/2.71 | | | (40) tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258) = 0
% 13.62/2.71 | | |
% 13.62/2.71 | | | GROUND_INST: instantiating (4) with c_pushingababycarriage,
% 13.62/2.71 | | | c_tptpcol_16_10258, simplifying with (10), (12), (40) gives:
% 13.62/2.71 | | | (41) tptptypes_8_400(c_tptpcol_16_10258, c_pushingababycarriage) = 0
% 13.62/2.71 | | |
% 13.62/2.71 | | | GROUND_INST: instantiating (3) with c_tptpcol_16_10258,
% 13.62/2.71 | | | c_pushingababycarriage, simplifying with (10), (12), (41)
% 13.62/2.71 | | | gives:
% 13.62/2.71 | | | (42) tptptypes_7_396(c_tptpcol_16_10258, c_pushingababycarriage) = 0
% 13.62/2.71 | | |
% 13.62/2.71 | | | GROUND_INST: instantiating (2) with c_tptpcol_16_10258,
% 13.62/2.71 | | | c_pushingababycarriage, simplifying with (10), (12), (42)
% 13.62/2.71 | | | gives:
% 13.62/2.71 | | | (43) tptptypes_6_388(c_tptpcol_16_10258, c_pushingababycarriage) = 0
% 13.62/2.71 | | |
% 13.62/2.72 | | | GROUND_INST: instantiating (1) with c_tptpcol_16_10258,
% 13.62/2.72 | | | c_pushingababycarriage, simplifying with (10), (12), (43)
% 13.62/2.72 | | | gives:
% 13.62/2.72 | | | (44) tptptypes_5_387(c_tptpcol_16_10258, c_pushingababycarriage) = 0
% 13.62/2.72 | | |
% 13.62/2.72 | | | GROUND_INST: instantiating (14) with c_tptpcol_16_10258, simplifying with
% 13.62/2.72 | | | (10), (44) gives:
% 13.62/2.72 | | | (45) $false
% 13.62/2.72 | | |
% 13.62/2.72 | | | CLOSE: (45) is inconsistent.
% 13.62/2.72 | | |
% 13.62/2.72 | | End of split
% 13.62/2.72 | |
% 13.62/2.72 | End of split
% 13.62/2.72 |
% 13.62/2.72 End of proof
% 13.62/2.72 % SZS output end Proof for theBenchmark
% 13.62/2.72
% 13.62/2.72 2096ms
%------------------------------------------------------------------------------