TSTP Solution File: CSR030+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR030+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:36:31 EDT 2023
% Result : Theorem 10.38s 2.19s
% Output : Proof 11.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR030+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 13:14:27 EDT 2023
% 0.13/0.35 % 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 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 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 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 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 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
% 3.10/1.17 Prover 1: Preprocessing ...
% 3.10/1.17 Prover 4: Preprocessing ...
% 3.10/1.21 Prover 0: Preprocessing ...
% 3.10/1.21 Prover 5: Preprocessing ...
% 3.10/1.21 Prover 3: Preprocessing ...
% 3.10/1.21 Prover 2: Preprocessing ...
% 3.10/1.21 Prover 6: Preprocessing ...
% 5.73/1.55 Prover 5: Proving ...
% 5.73/1.55 Prover 2: Constructing countermodel ...
% 6.08/1.64 Prover 6: Proving ...
% 6.65/1.66 Prover 3: Warning: ignoring some quantifiers
% 6.93/1.68 Prover 3: Constructing countermodel ...
% 6.93/1.69 Prover 1: Warning: ignoring some quantifiers
% 6.93/1.72 Prover 1: Constructing countermodel ...
% 7.46/1.79 Prover 4: Constructing countermodel ...
% 7.46/1.79 Prover 0: Proving ...
% 9.33/2.04 Prover 3: gave up
% 9.33/2.05 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.81/2.11 Prover 1: gave up
% 9.81/2.12 Prover 7: Preprocessing ...
% 9.81/2.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.38/2.15 Prover 7: Constructing countermodel ...
% 10.38/2.16 Prover 8: Preprocessing ...
% 10.38/2.19 Prover 2: proved (1551ms)
% 10.38/2.19
% 10.38/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.38/2.19
% 10.38/2.20 Prover 6: proved (1549ms)
% 10.38/2.20
% 10.38/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.38/2.20
% 10.38/2.20 Prover 5: stopped
% 10.38/2.20 Prover 0: stopped
% 10.38/2.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.38/2.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.38/2.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.38/2.20 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 10.98/2.24 Prover 10: Preprocessing ...
% 10.98/2.26 Prover 16: Preprocessing ...
% 10.98/2.26 Prover 13: Preprocessing ...
% 11.36/2.28 Prover 10: Constructing countermodel ...
% 11.36/2.28 Prover 11: Preprocessing ...
% 11.36/2.29 Prover 4: Found proof (size 36)
% 11.36/2.29 Prover 4: proved (1644ms)
% 11.36/2.29 Prover 7: stopped
% 11.36/2.29 Prover 10: stopped
% 11.36/2.29 Prover 13: stopped
% 11.36/2.30 Prover 16: stopped
% 11.36/2.31 Prover 8: Warning: ignoring some quantifiers
% 11.36/2.32 Prover 8: Constructing countermodel ...
% 11.36/2.33 Prover 8: stopped
% 11.36/2.33 Prover 11: stopped
% 11.36/2.33
% 11.36/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.36/2.33
% 11.36/2.34 % SZS output start Proof for theBenchmark
% 11.36/2.34 Assumptions after simplification:
% 11.36/2.34 ---------------------------------
% 11.36/2.34
% 11.36/2.34 (just10)
% 11.81/2.37 genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & $i(c_tptp_spindleheadmt) &
% 11.81/2.37 $i(c_cyclistsmt)
% 11.81/2.37
% 11.81/2.37 (just11)
% 11.81/2.37 genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = 0 &
% 11.81/2.37 $i(c_tptp_member3393_mt) & $i(c_tptp_spindleheadmt)
% 11.81/2.37
% 11.81/2.37 (just12)
% 11.94/2.37 $i(c_tptpcol_16_4451) & $i(c_pushingwithopenhand) & $i(c_tptp_spindleheadmt) &
% 11.94/2.37 ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 &
% 11.94/2.37 tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = v1 & ( ~ (v0 =
% 11.94/2.37 0) | v1 = 0))
% 11.94/2.37
% 11.94/2.37 (just21)
% 11.94/2.37 $i(c_tptpcol_16_4451) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 11.94/2.37 c_tptpcol_16_4451) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 11.94/2.37 tptpcol_16_4451(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_4451(v0) = 0) |
% 11.94/2.37 ~ $i(v0) | isa(v0, c_tptpcol_16_4451) = 0)
% 11.94/2.37
% 11.94/2.37 (just49)
% 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 11.94/2.38 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~
% 11.94/2.38 (v2 = 0) | v3 = 0)))
% 11.94/2.38
% 11.94/2.38 (just7)
% 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_5_387(v0,
% 11.94/2.38 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 11.94/2.38 tptptypes_6_388(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 11.94/2.38 (tptptypes_6_388(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_5_387(v0,
% 11.94/2.38 v1) = 0)
% 11.94/2.38
% 11.94/2.38 (just9)
% 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_6_388(v1,
% 11.94/2.38 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 11.94/2.38 tptptypes_7_389(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 11.94/2.38 (tptptypes_7_389(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_6_388(v1,
% 11.94/2.38 v0) = 0)
% 11.94/2.38
% 11.94/2.38 (query30)
% 11.94/2.38 mtvisible(c_tptp_member3393_mt) = 0 & $i(c_pushingwithopenhand) &
% 11.94/2.38 $i(c_tptp_member3393_mt) & ! [v0: $i] : ( ~ (tptptypes_5_387(v0,
% 11.94/2.38 c_pushingwithopenhand) = 0) | ~ $i(v0))
% 11.94/2.38
% 11.94/2.38 (function-axioms)
% 11.94/2.39 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.94/2.39 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 11.94/2.39 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 11.94/2.39 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) =
% 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_7_389(v3, v2) = v1) | ~
% 11.94/2.39 (tptptypes_7_389(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.94/2.39 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.94/2.39 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.94/2.39 : (v1 = v0 | ~ (tptptypes_5_387(v3, v2) = v1) | ~ (tptptypes_5_387(v3, v2) =
% 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_6_388(v3, v2) = v1) | ~
% 11.94/2.39 (tptptypes_6_388(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.94/2.39 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.94/2.39 (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.94/2.39 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.94/2.39 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.94/2.39 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.94/2.39 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) |
% 11.94/2.39 ~ (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.94/2.39 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 11.94/2.39 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.94/2.39 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (firstordercollection(v2) =
% 11.94/2.39 v1) | ~ (firstordercollection(v2) = v0)) & ! [v0: MultipleValueBool] :
% 11.94/2.39 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 11.94/2.39 (pushingwithopenhand(v2) = v1) | ~ (pushingwithopenhand(v2) = v0)) & !
% 11.94/2.39 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 11.94/2.39 | ~ (tptpcol_16_4451(v2) = v1) | ~ (tptpcol_16_4451(v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.94/2.39 ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.94/2.39 ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0:
% 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.94/2.39 ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 11.94/2.39 v0))
% 11.94/2.39
% 11.94/2.39 Further assumptions not needed in the proof:
% 11.94/2.39 --------------------------------------------
% 11.94/2.39 just1, just13, just14, just15, just16, just17, just18, just19, just2, just20,
% 11.94/2.39 just22, just23, just24, just25, just26, just27, just28, just29, just3, just30,
% 11.94/2.39 just31, just32, just33, just34, just35, just36, just37, just38, just39, just4,
% 11.94/2.39 just40, just41, just42, just43, just44, just45, just46, just47, just48, just5,
% 11.94/2.39 just50, just51, just52, just53, just54, just55, just56, just57, just6, just8
% 11.94/2.39
% 11.94/2.39 Those formulas are unsatisfiable:
% 11.94/2.39 ---------------------------------
% 11.94/2.39
% 11.94/2.39 Begin of proof
% 11.94/2.39 |
% 11.94/2.39 | ALPHA: (just7) implies:
% 11.94/2.40 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_6_388(v0, v1) = 0) | ~
% 11.94/2.40 | $i(v1) | ~ $i(v0) | tptptypes_5_387(v0, v1) = 0)
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (just9) implies:
% 11.94/2.40 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_7_389(v0, v1) = 0) | ~
% 11.94/2.40 | $i(v1) | ~ $i(v0) | tptptypes_6_388(v1, v0) = 0)
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (just10) implies:
% 11.94/2.40 | (3) $i(c_cyclistsmt)
% 11.94/2.40 | (4) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (just11) implies:
% 11.94/2.40 | (5) genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = 0
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (just12) implies:
% 11.94/2.40 | (6) $i(c_tptp_spindleheadmt)
% 11.94/2.40 | (7) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 &
% 11.94/2.40 | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = v1 & ( ~
% 11.94/2.40 | (v0 = 0) | v1 = 0))
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (just21) implies:
% 11.94/2.40 | (8) $i(c_tptpcol_16_4451)
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (query30) implies:
% 11.94/2.40 | (9) $i(c_tptp_member3393_mt)
% 11.94/2.40 | (10) $i(c_pushingwithopenhand)
% 11.94/2.40 | (11) mtvisible(c_tptp_member3393_mt) = 0
% 11.94/2.40 | (12) ! [v0: $i] : ( ~ (tptptypes_5_387(v0, c_pushingwithopenhand) = 0) |
% 11.94/2.40 | ~ $i(v0))
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (function-axioms) implies:
% 11.94/2.40 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.94/2.40 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 11.94/2.40 |
% 11.94/2.40 | DELTA: instantiating (7) with fresh symbols all_50_0, all_50_1 gives:
% 11.94/2.40 | (14) mtvisible(c_tptp_spindleheadmt) = all_50_1 &
% 11.94/2.40 | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = all_50_0 &
% 11.94/2.40 | ( ~ (all_50_1 = 0) | all_50_0 = 0)
% 11.94/2.40 |
% 11.94/2.40 | ALPHA: (14) implies:
% 11.94/2.40 | (15) tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = all_50_0
% 11.94/2.40 | (16) mtvisible(c_tptp_spindleheadmt) = all_50_1
% 11.94/2.40 | (17) ~ (all_50_1 = 0) | all_50_0 = 0
% 11.94/2.40 |
% 11.94/2.40 | GROUND_INST: instantiating (just49) with c_tptp_spindleheadmt, c_cyclistsmt,
% 11.94/2.40 | simplifying with (3), (4), (6) gives:
% 11.94/2.40 | (18) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 &
% 11.94/2.40 | mtvisible(c_cyclistsmt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.94/2.40 |
% 11.94/2.40 | GROUND_INST: instantiating (just49) with c_tptp_member3393_mt,
% 11.94/2.40 | c_tptp_spindleheadmt, simplifying with (5), (6), (9) gives:
% 11.94/2.41 | (19) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3393_mt) = v0 &
% 11.94/2.41 | mtvisible(c_tptp_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.94/2.41 |
% 11.94/2.41 | DELTA: instantiating (19) with fresh symbols all_62_0, all_62_1 gives:
% 11.94/2.41 | (20) mtvisible(c_tptp_member3393_mt) = all_62_1 &
% 11.94/2.41 | mtvisible(c_tptp_spindleheadmt) = all_62_0 & ( ~ (all_62_1 = 0) |
% 11.94/2.41 | all_62_0 = 0)
% 11.94/2.41 |
% 11.94/2.41 | ALPHA: (20) implies:
% 11.94/2.41 | (21) mtvisible(c_tptp_spindleheadmt) = all_62_0
% 11.94/2.41 | (22) mtvisible(c_tptp_member3393_mt) = all_62_1
% 11.94/2.41 | (23) ~ (all_62_1 = 0) | all_62_0 = 0
% 11.94/2.41 |
% 11.94/2.41 | DELTA: instantiating (18) with fresh symbols all_64_0, all_64_1 gives:
% 11.94/2.41 | (24) mtvisible(c_tptp_spindleheadmt) = all_64_1 & mtvisible(c_cyclistsmt) =
% 11.94/2.41 | all_64_0 & ( ~ (all_64_1 = 0) | all_64_0 = 0)
% 11.94/2.41 |
% 11.94/2.41 | ALPHA: (24) implies:
% 11.94/2.41 | (25) mtvisible(c_tptp_spindleheadmt) = all_64_1
% 11.94/2.41 |
% 11.94/2.41 | GROUND_INST: instantiating (13) with all_50_1, all_64_1, c_tptp_spindleheadmt,
% 11.94/2.41 | simplifying with (16), (25) gives:
% 11.94/2.41 | (26) all_64_1 = all_50_1
% 11.94/2.41 |
% 11.94/2.41 | GROUND_INST: instantiating (13) with all_62_0, all_64_1, c_tptp_spindleheadmt,
% 11.94/2.41 | simplifying with (21), (25) gives:
% 11.94/2.41 | (27) all_64_1 = all_62_0
% 11.94/2.41 |
% 11.94/2.41 | GROUND_INST: instantiating (13) with 0, all_62_1, c_tptp_member3393_mt,
% 11.94/2.41 | simplifying with (11), (22) gives:
% 11.94/2.41 | (28) all_62_1 = 0
% 11.94/2.41 |
% 11.94/2.41 | COMBINE_EQS: (26), (27) imply:
% 11.94/2.41 | (29) all_62_0 = all_50_1
% 11.94/2.41 |
% 11.94/2.41 | SIMP: (29) implies:
% 11.94/2.41 | (30) all_62_0 = all_50_1
% 11.94/2.41 |
% 11.94/2.41 | BETA: splitting (23) gives:
% 11.94/2.41 |
% 11.94/2.41 | Case 1:
% 11.94/2.41 | |
% 11.94/2.41 | | (31) ~ (all_62_1 = 0)
% 11.94/2.41 | |
% 11.94/2.41 | | REDUCE: (28), (31) imply:
% 11.94/2.41 | | (32) $false
% 11.94/2.41 | |
% 11.94/2.41 | | CLOSE: (32) is inconsistent.
% 11.94/2.41 | |
% 11.94/2.41 | Case 2:
% 11.94/2.41 | |
% 11.94/2.41 | | (33) all_62_0 = 0
% 11.94/2.41 | |
% 11.94/2.41 | | COMBINE_EQS: (30), (33) imply:
% 11.94/2.41 | | (34) all_50_1 = 0
% 11.94/2.41 | |
% 11.94/2.41 | | SIMP: (34) implies:
% 11.94/2.41 | | (35) all_50_1 = 0
% 11.94/2.41 | |
% 11.94/2.41 | | BETA: splitting (17) gives:
% 11.94/2.41 | |
% 11.94/2.41 | | Case 1:
% 11.94/2.41 | | |
% 11.94/2.41 | | | (36) ~ (all_50_1 = 0)
% 11.94/2.41 | | |
% 11.94/2.41 | | | REDUCE: (35), (36) imply:
% 11.94/2.41 | | | (37) $false
% 11.94/2.41 | | |
% 11.94/2.41 | | | CLOSE: (37) is inconsistent.
% 11.94/2.41 | | |
% 11.94/2.41 | | Case 2:
% 11.94/2.41 | | |
% 11.94/2.41 | | | (38) all_50_0 = 0
% 11.94/2.41 | | |
% 11.94/2.41 | | | REDUCE: (15), (38) imply:
% 11.94/2.41 | | | (39) tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = 0
% 11.94/2.41 | | |
% 11.94/2.41 | | | GROUND_INST: instantiating (2) with c_pushingwithopenhand,
% 11.94/2.41 | | | c_tptpcol_16_4451, simplifying with (8), (10), (39) gives:
% 11.94/2.41 | | | (40) tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand) = 0
% 11.94/2.41 | | |
% 11.94/2.41 | | | GROUND_INST: instantiating (1) with c_tptpcol_16_4451,
% 11.94/2.41 | | | c_pushingwithopenhand, simplifying with (8), (10), (40)
% 11.94/2.41 | | | gives:
% 11.94/2.41 | | | (41) tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand) = 0
% 11.94/2.41 | | |
% 11.94/2.41 | | | GROUND_INST: instantiating (12) with c_tptpcol_16_4451, simplifying with
% 11.94/2.41 | | | (8), (41) gives:
% 11.94/2.41 | | | (42) $false
% 11.94/2.41 | | |
% 11.94/2.41 | | | CLOSE: (42) is inconsistent.
% 11.94/2.41 | | |
% 11.94/2.41 | | End of split
% 11.94/2.41 | |
% 11.94/2.41 | End of split
% 11.94/2.41 |
% 11.94/2.41 End of proof
% 11.94/2.41 % SZS output end Proof for theBenchmark
% 11.94/2.42
% 11.94/2.42 1794ms
%------------------------------------------------------------------------------