TSTP Solution File: SYN067+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.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 : Fri Sep 1 03:26:27 EDT 2023
% Result : Theorem 6.10s 1.54s
% Output : Proof 9.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 17:50:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 1.71/0.97 Prover 1: Preprocessing ...
% 1.71/0.97 Prover 4: Preprocessing ...
% 2.28/1.02 Prover 6: Preprocessing ...
% 2.28/1.02 Prover 2: Preprocessing ...
% 2.28/1.02 Prover 0: Preprocessing ...
% 2.28/1.02 Prover 3: Preprocessing ...
% 2.28/1.02 Prover 5: Preprocessing ...
% 3.19/1.15 Prover 5: Proving ...
% 3.19/1.15 Prover 2: Proving ...
% 3.19/1.16 Prover 6: Proving ...
% 3.19/1.19 Prover 3: Warning: ignoring some quantifiers
% 3.19/1.20 Prover 1: Warning: ignoring some quantifiers
% 3.19/1.20 Prover 3: Constructing countermodel ...
% 3.19/1.20 Prover 1: Constructing countermodel ...
% 3.80/1.21 Prover 4: Warning: ignoring some quantifiers
% 3.80/1.22 Prover 4: Constructing countermodel ...
% 3.80/1.23 Prover 0: Proving ...
% 6.10/1.54 Prover 2: proved (917ms)
% 6.10/1.54
% 6.10/1.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.10/1.54
% 6.10/1.54 Prover 3: stopped
% 6.10/1.54 Prover 6: stopped
% 6.37/1.55 Prover 5: stopped
% 6.37/1.55 Prover 0: stopped
% 6.37/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.37/1.55 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.37/1.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.37/1.55 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.37/1.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.37/1.57 Prover 8: Preprocessing ...
% 6.37/1.58 Prover 10: Preprocessing ...
% 6.37/1.58 Prover 13: Preprocessing ...
% 6.37/1.58 Prover 11: Preprocessing ...
% 6.37/1.58 Prover 7: Preprocessing ...
% 6.37/1.60 Prover 13: Warning: ignoring some quantifiers
% 6.37/1.60 Prover 13: Constructing countermodel ...
% 6.37/1.61 Prover 10: Warning: ignoring some quantifiers
% 6.37/1.61 Prover 10: Constructing countermodel ...
% 6.37/1.62 Prover 7: Warning: ignoring some quantifiers
% 6.37/1.62 Prover 7: Constructing countermodel ...
% 6.37/1.62 Prover 10: gave up
% 6.37/1.62 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 7.02/1.64 Prover 13: gave up
% 7.02/1.64 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 7.02/1.64 Prover 7: gave up
% 7.02/1.64 Prover 16: Preprocessing ...
% 7.02/1.65 Prover 1: gave up
% 7.02/1.66 Prover 19: Preprocessing ...
% 7.02/1.66 Prover 8: Warning: ignoring some quantifiers
% 7.02/1.66 Prover 16: Warning: ignoring some quantifiers
% 7.02/1.66 Prover 16: Constructing countermodel ...
% 7.02/1.66 Prover 8: Constructing countermodel ...
% 7.02/1.67 Prover 11: Warning: ignoring some quantifiers
% 7.02/1.67 Prover 11: Constructing countermodel ...
% 7.39/1.73 Prover 19: Warning: ignoring some quantifiers
% 7.39/1.73 Prover 19: Constructing countermodel ...
% 7.89/1.75 Prover 16: gave up
% 7.89/1.75 Prover 8: gave up
% 7.99/1.79 Prover 19: gave up
% 8.53/1.87 Prover 4: Found proof (size 90)
% 8.53/1.87 Prover 4: proved (1237ms)
% 8.53/1.87 Prover 11: stopped
% 8.53/1.87
% 8.53/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.53/1.87
% 8.53/1.88 % SZS output start Proof for theBenchmark
% 8.53/1.88 Assumptions after simplification:
% 8.53/1.88 ---------------------------------
% 8.53/1.88
% 8.53/1.88 (pel38)
% 8.53/1.93 $i(a) & ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: int]
% 8.53/1.93 : ? [v5: int] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? [v9: int] : ?
% 8.53/1.93 [v10: int] : (big_p(a) = v0 & $i(v8) & $i(v6) & $i(v3) & $i(v1) & ((v0 = 0 &
% 8.53/1.93 big_p(v6) = v7 & ! [v11: $i] : ! [v12: MultipleValueBool] : ! [v13:
% 8.53/1.93 $i] : ( ~ (big_r(v11, v13) = 0) | ~ (big_p(v11) = v12) | ~ $i(v13) |
% 8.53/1.93 ~ $i(v11) | ? [v14: $i] : ? [v15: $i] : ? [v16: int] : ? [v17:
% 8.53/1.93 int] : ? [v18: int] : ? [v19: int] : ($i(v15) & $i(v14) & ((v18 =
% 8.53/1.93 0 & v17 = 0 & v16 = 0 & big_r(v15, v14) = 0 & big_r(v11, v15) =
% 8.53/1.93 0 & big_p(v14) = 0) | ( ~ (v19 = 0) & big_p(v13) = v19)))) & !
% 8.53/1.93 [v11: $i] : ! [v12: MultipleValueBool] : ! [v13: $i] : ( ~ (big_p(v13)
% 8.53/1.93 = 0) | ~ (big_p(v11) = v12) | ~ $i(v13) | ~ $i(v11) | ? [v14:
% 8.53/1.93 $i] : ? [v15: $i] : ? [v16: int] : ? [v17: int] : ? [v18: int] :
% 8.53/1.93 ? [v19: int] : ($i(v15) & $i(v14) & ((v18 = 0 & v17 = 0 & v16 = 0 &
% 8.53/1.93 big_r(v15, v14) = 0 & big_r(v11, v15) = 0 & big_p(v14) = 0) | (
% 8.53/1.93 ~ (v19 = 0) & big_r(v11, v13) = v19)))) & ! [v11: $i] : !
% 8.53/1.93 [v12: int] : (v12 = 0 | ~ (big_p(v11) = v12) | ~ $i(v11) | ? [v13:
% 8.53/1.93 $i] : ? [v14: $i] : (big_r(v14, v13) = 0 & big_r(v11, v14) = 0 &
% 8.53/1.93 big_p(v13) = 0 & $i(v14) & $i(v13))) & ! [v11: $i] : ! [v12: $i] :
% 8.53/1.93 ( ~ (big_r(v12, v11) = 0) | ~ $i(v12) | ~ $i(v11) | ? [v13: any] : ?
% 8.53/1.93 [v14: any] : (big_r(v6, v12) = v14 & big_p(v11) = v13 & ( ~ (v14 = 0)
% 8.53/1.93 | ~ (v13 = 0)))) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0 & big_r(v6,
% 8.53/1.93 v8) = 0 & big_p(v8) = 0))) | (v0 = 0 & big_p(v1) = v2 & ! [v11:
% 8.53/1.93 $i] : ! [v12: int] : (v12 = 0 | ~ (big_p(v11) = v12) | ~ $i(v11) |
% 8.53/1.93 ? [v13: $i] : ? [v14: $i] : (big_r(v14, v13) = 0 & big_r(v11, v14) =
% 8.53/1.93 0 & big_p(v13) = 0 & $i(v14) & $i(v13))) & ! [v11: $i] : ! [v12:
% 8.53/1.93 $i] : ( ~ (big_r(v12, v11) = 0) | ~ $i(v12) | ~ $i(v11) | ? [v13:
% 8.53/1.93 any] : ? [v14: any] : (big_r(v1, v12) = v14 & big_p(v11) = v13 & (
% 8.53/1.93 ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11: $i] : ! [v12: $i] : ( ~
% 8.53/1.93 (big_r(v11, v12) = 0) | ~ $i(v12) | ~ $i(v11) | ? [v13: $i] : ?
% 8.53/1.93 [v14: $i] : ? [v15: int] : ? [v16: int] : ? [v17: int] : ? [v18:
% 8.53/1.93 int] : ($i(v14) & $i(v13) & ((v17 = 0 & v16 = 0 & v15 = 0 &
% 8.53/1.93 big_r(v14, v13) = 0 & big_r(v11, v14) = 0 & big_p(v13) = 0) | (
% 8.53/1.93 ~ (v18 = 0) & big_p(v12) = v18)))) & ? [v11: $i] : ! [v12: $i]
% 8.53/1.93 : ( ~ (big_p(v12) = 0) | ~ $i(v12) | ~ $i(v11) | ? [v13: $i] : ?
% 8.53/1.93 [v14: $i] : ? [v15: int] : ? [v16: int] : ? [v17: int] : ? [v18:
% 8.53/1.93 int] : ($i(v14) & $i(v13) & ((v17 = 0 & v16 = 0 & v15 = 0 &
% 8.53/1.93 big_r(v14, v13) = 0 & big_r(v11, v14) = 0 & big_p(v13) = 0) | (
% 8.53/1.93 ~ (v18 = 0) & big_r(v11, v12) = v18)))) & ( ~ (v2 = 0) | (v5 = 0
% 8.53/1.93 & v4 = 0 & big_r(v1, v3) = 0 & big_p(v3) = 0)))))
% 8.53/1.93
% 8.53/1.93 (function-axioms)
% 8.53/1.93 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 8.53/1.93 [v3: $i] : (v1 = v0 | ~ (big_r(v3, v2) = v1) | ~ (big_r(v3, v2) = v0)) & !
% 8.53/1.93 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 8.53/1.93 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0))
% 8.53/1.93
% 8.53/1.93 Those formulas are unsatisfiable:
% 8.53/1.93 ---------------------------------
% 8.53/1.93
% 8.53/1.93 Begin of proof
% 8.53/1.93 |
% 8.53/1.94 | ALPHA: (pel38) implies:
% 8.53/1.95 | (1) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: int]
% 8.53/1.95 | : ? [v5: int] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? [v9:
% 8.53/1.95 | int] : ? [v10: int] : (big_p(a) = v0 & $i(v8) & $i(v6) & $i(v3) &
% 8.53/1.95 | $i(v1) & ((v0 = 0 & big_p(v6) = v7 & ! [v11: $i] : ! [v12:
% 8.53/1.95 | MultipleValueBool] : ! [v13: $i] : ( ~ (big_r(v11, v13) = 0) |
% 8.53/1.95 | ~ (big_p(v11) = v12) | ~ $i(v13) | ~ $i(v11) | ? [v14: $i]
% 8.53/1.95 | : ? [v15: $i] : ? [v16: int] : ? [v17: int] : ? [v18: int]
% 8.53/1.95 | : ? [v19: int] : ($i(v15) & $i(v14) & ((v18 = 0 & v17 = 0 &
% 8.53/1.95 | v16 = 0 & big_r(v15, v14) = 0 & big_r(v11, v15) = 0 &
% 8.53/1.95 | big_p(v14) = 0) | ( ~ (v19 = 0) & big_p(v13) = v19)))) &
% 8.53/1.95 | ! [v11: $i] : ! [v12: MultipleValueBool] : ! [v13: $i] : ( ~
% 8.53/1.95 | (big_p(v13) = 0) | ~ (big_p(v11) = v12) | ~ $i(v13) | ~
% 8.53/1.95 | $i(v11) | ? [v14: $i] : ? [v15: $i] : ? [v16: int] : ?
% 8.53/1.95 | [v17: int] : ? [v18: int] : ? [v19: int] : ($i(v15) & $i(v14)
% 8.53/1.95 | & ((v18 = 0 & v17 = 0 & v16 = 0 & big_r(v15, v14) = 0 &
% 8.53/1.95 | big_r(v11, v15) = 0 & big_p(v14) = 0) | ( ~ (v19 = 0) &
% 8.53/1.95 | big_r(v11, v13) = v19)))) & ! [v11: $i] : ! [v12: int]
% 8.53/1.95 | : (v12 = 0 | ~ (big_p(v11) = v12) | ~ $i(v11) | ? [v13: $i] :
% 8.53/1.95 | ? [v14: $i] : (big_r(v14, v13) = 0 & big_r(v11, v14) = 0 &
% 8.53/1.95 | big_p(v13) = 0 & $i(v14) & $i(v13))) & ! [v11: $i] : !
% 8.53/1.95 | [v12: $i] : ( ~ (big_r(v12, v11) = 0) | ~ $i(v12) | ~ $i(v11) |
% 8.53/1.95 | ? [v13: any] : ? [v14: any] : (big_r(v6, v12) = v14 &
% 8.53/1.95 | big_p(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ( ~ (v7
% 8.53/1.95 | = 0) | (v10 = 0 & v9 = 0 & big_r(v6, v8) = 0 & big_p(v8) =
% 8.53/1.95 | 0))) | (v0 = 0 & big_p(v1) = v2 & ! [v11: $i] : ! [v12:
% 8.53/1.95 | int] : (v12 = 0 | ~ (big_p(v11) = v12) | ~ $i(v11) | ? [v13:
% 8.53/1.95 | $i] : ? [v14: $i] : (big_r(v14, v13) = 0 & big_r(v11, v14) =
% 8.53/1.95 | 0 & big_p(v13) = 0 & $i(v14) & $i(v13))) & ! [v11: $i] : !
% 8.53/1.95 | [v12: $i] : ( ~ (big_r(v12, v11) = 0) | ~ $i(v12) | ~ $i(v11) |
% 8.53/1.95 | ? [v13: any] : ? [v14: any] : (big_r(v1, v12) = v14 &
% 8.53/1.95 | big_p(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11:
% 8.53/1.95 | $i] : ! [v12: $i] : ( ~ (big_r(v11, v12) = 0) | ~ $i(v12) |
% 8.53/1.95 | ~ $i(v11) | ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ?
% 8.53/1.95 | [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v13)
% 8.53/1.95 | & ((v17 = 0 & v16 = 0 & v15 = 0 & big_r(v14, v13) = 0 &
% 8.53/1.95 | big_r(v11, v14) = 0 & big_p(v13) = 0) | ( ~ (v18 = 0) &
% 8.53/1.95 | big_p(v12) = v18)))) & ? [v11: $i] : ! [v12: $i] : ( ~
% 8.53/1.95 | (big_p(v12) = 0) | ~ $i(v12) | ~ $i(v11) | ? [v13: $i] : ?
% 8.53/1.95 | [v14: $i] : ? [v15: int] : ? [v16: int] : ? [v17: int] : ?
% 8.53/1.95 | [v18: int] : ($i(v14) & $i(v13) & ((v17 = 0 & v16 = 0 & v15 = 0
% 8.53/1.95 | & big_r(v14, v13) = 0 & big_r(v11, v14) = 0 & big_p(v13)
% 8.53/1.95 | = 0) | ( ~ (v18 = 0) & big_r(v11, v12) = v18)))) & ( ~
% 8.53/1.95 | (v2 = 0) | (v5 = 0 & v4 = 0 & big_r(v1, v3) = 0 & big_p(v3) =
% 8.53/1.95 | 0)))))
% 8.53/1.95 |
% 8.53/1.95 | ALPHA: (function-axioms) implies:
% 8.53/1.95 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 8.53/1.95 | (v1 = v0 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0))
% 8.53/1.95 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 8.53/1.95 | ! [v3: $i] : (v1 = v0 | ~ (big_r(v3, v2) = v1) | ~ (big_r(v3, v2) =
% 8.53/1.95 | v0))
% 8.53/1.95 |
% 8.53/1.95 | DELTA: instantiating (1) with fresh symbols all_4_0, all_4_1, all_4_2,
% 8.53/1.95 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, all_4_10
% 8.53/1.95 | gives:
% 8.53/1.96 | (4) big_p(a) = all_4_10 & $i(all_4_2) & $i(all_4_4) & $i(all_4_7) &
% 8.53/1.96 | $i(all_4_9) & ((all_4_10 = 0 & big_p(all_4_4) = all_4_3 & ! [v0: $i] :
% 8.53/1.96 | ! [v1: MultipleValueBool] : ! [v2: $i] : ( ~ (big_r(v0, v2) = 0)
% 8.53/1.96 | | ~ (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: $i] : ?
% 8.53/1.96 | [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 8.53/1.96 | int] : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5 = 0 &
% 8.53/1.96 | big_r(v4, v3) = 0 & big_r(v0, v4) = 0 & big_p(v3) = 0) | (
% 8.53/1.96 | ~ (v8 = 0) & big_p(v2) = v8)))) & ! [v0: $i] : ! [v1:
% 8.53/1.96 | MultipleValueBool] : ! [v2: $i] : ( ~ (big_p(v2) = 0) | ~
% 8.53/1.96 | (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 8.53/1.96 | $i] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int]
% 8.53/1.96 | : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5 = 0 & big_r(v4, v3) =
% 8.53/1.96 | 0 & big_r(v0, v4) = 0 & big_p(v3) = 0) | ( ~ (v8 = 0) &
% 8.53/1.96 | big_r(v0, v2) = v8)))) & ! [v0: $i] : ! [v1: int] : (v1 =
% 8.53/1.96 | 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 8.53/1.96 | (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0 & $i(v3) &
% 8.53/1.96 | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1, v0) = 0)
% 8.53/1.96 | | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 8.53/1.96 | (big_r(all_4_4, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2
% 8.53/1.96 | = 0)))) & ( ~ (all_4_3 = 0) | (all_4_0 = 0 & all_4_1 = 0 &
% 8.53/1.96 | big_r(all_4_4, all_4_2) = 0 & big_p(all_4_2) = 0))) | (all_4_10
% 8.53/1.96 | = 0 & big_p(all_4_9) = all_4_8 & ! [v0: $i] : ! [v1: int] : (v1 =
% 8.53/1.96 | 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 8.53/1.96 | (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0 & $i(v3) &
% 8.53/1.96 | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1, v0) = 0)
% 8.53/1.96 | | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 8.53/1.96 | (big_r(all_4_9, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2
% 8.53/1.96 | = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v0, v1) =
% 8.53/1.96 | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 8.53/1.96 | [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ($i(v3)
% 8.53/1.96 | & $i(v2) & ((v6 = 0 & v5 = 0 & v4 = 0 & big_r(v3, v2) = 0 &
% 8.53/1.96 | big_r(v0, v3) = 0 & big_p(v2) = 0) | ( ~ (v7 = 0) &
% 8.53/1.96 | big_p(v1) = v7)))) & ? [v0: $i] : ! [v1: $i] : ( ~
% 8.53/1.96 | (big_p(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 8.53/1.96 | $i] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int]
% 8.53/1.96 | : ($i(v3) & $i(v2) & ((v6 = 0 & v5 = 0 & v4 = 0 & big_r(v3, v2) =
% 8.53/1.96 | 0 & big_r(v0, v3) = 0 & big_p(v2) = 0) | ( ~ (v7 = 0) &
% 8.53/1.96 | big_r(v0, v1) = v7)))) & ( ~ (all_4_8 = 0) | (all_4_5 = 0 &
% 8.53/1.96 | all_4_6 = 0 & big_r(all_4_9, all_4_7) = 0 & big_p(all_4_7) =
% 8.53/1.96 | 0))))
% 8.53/1.96 |
% 8.53/1.96 | ALPHA: (4) implies:
% 8.53/1.96 | (5) $i(all_4_9)
% 8.53/1.96 | (6) $i(all_4_7)
% 8.53/1.96 | (7) $i(all_4_4)
% 8.53/1.96 | (8) $i(all_4_2)
% 8.53/1.97 | (9) (all_4_10 = 0 & big_p(all_4_4) = all_4_3 & ! [v0: $i] : ! [v1:
% 8.53/1.97 | MultipleValueBool] : ! [v2: $i] : ( ~ (big_r(v0, v2) = 0) | ~
% 8.53/1.97 | (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 8.53/1.97 | $i] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 8.53/1.97 | ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5 = 0 & big_r(v4, v3) = 0 &
% 8.53/1.97 | big_r(v0, v4) = 0 & big_p(v3) = 0) | ( ~ (v8 = 0) & big_p(v2)
% 8.53/1.97 | = v8)))) & ! [v0: $i] : ! [v1: MultipleValueBool] : ! [v2:
% 8.53/1.97 | $i] : ( ~ (big_p(v2) = 0) | ~ (big_p(v0) = v1) | ~ $i(v2) | ~
% 8.53/1.97 | $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ? [v6: int] :
% 8.53/1.97 | ? [v7: int] : ? [v8: int] : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 &
% 8.53/1.97 | v5 = 0 & big_r(v4, v3) = 0 & big_r(v0, v4) = 0 & big_p(v3) =
% 8.53/1.97 | 0) | ( ~ (v8 = 0) & big_r(v0, v2) = v8)))) & ! [v0: $i] : !
% 8.53/1.97 | [v1: int] : (v1 = 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 8.53/1.97 | ? [v3: $i] : (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) =
% 8.53/1.97 | 0 & $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 8.53/1.97 | (big_r(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 8.53/1.97 | [v3: any] : (big_r(all_4_4, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 =
% 8.53/1.97 | 0) | ~ (v2 = 0)))) & ( ~ (all_4_3 = 0) | (all_4_0 = 0 &
% 8.53/1.97 | all_4_1 = 0 & big_r(all_4_4, all_4_2) = 0 & big_p(all_4_2) = 0)))
% 8.53/1.97 | | (all_4_10 = 0 & big_p(all_4_9) = all_4_8 & ! [v0: $i] : ! [v1: int]
% 8.53/1.97 | : (v1 = 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 8.53/1.97 | $i] : (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0 &
% 8.53/1.97 | $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1,
% 8.53/1.97 | v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any]
% 8.53/1.97 | : (big_r(all_4_9, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2
% 8.53/1.97 | = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v0, v1) = 0)
% 8.53/1.97 | | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: int]
% 8.53/1.97 | : ? [v5: int] : ? [v6: int] : ? [v7: int] : ($i(v3) & $i(v2) &
% 8.53/1.97 | ((v6 = 0 & v5 = 0 & v4 = 0 & big_r(v3, v2) = 0 & big_r(v0, v3) =
% 8.53/1.97 | 0 & big_p(v2) = 0) | ( ~ (v7 = 0) & big_p(v1) = v7)))) & ?
% 8.53/1.97 | [v0: $i] : ! [v1: $i] : ( ~ (big_p(v1) = 0) | ~ $i(v1) | ~ $i(v0)
% 8.53/1.97 | | ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: int] : ? [v6:
% 8.53/1.97 | int] : ? [v7: int] : ($i(v3) & $i(v2) & ((v6 = 0 & v5 = 0 & v4 =
% 8.53/1.97 | 0 & big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0) |
% 8.53/1.97 | ( ~ (v7 = 0) & big_r(v0, v1) = v7)))) & ( ~ (all_4_8 = 0) |
% 8.53/1.97 | (all_4_5 = 0 & all_4_6 = 0 & big_r(all_4_9, all_4_7) = 0 &
% 8.53/1.97 | big_p(all_4_7) = 0)))
% 8.53/1.97 |
% 8.53/1.97 | BETA: splitting (9) gives:
% 8.53/1.97 |
% 8.53/1.97 | Case 1:
% 8.53/1.97 | |
% 8.53/1.97 | | (10) all_4_10 = 0 & big_p(all_4_4) = all_4_3 & ! [v0: $i] : ! [v1:
% 8.53/1.97 | | MultipleValueBool] : ! [v2: $i] : ( ~ (big_r(v0, v2) = 0) | ~
% 8.53/1.97 | | (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 8.53/1.97 | | $i] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int]
% 8.53/1.97 | | : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5 = 0 & big_r(v4, v3) =
% 8.53/1.97 | | 0 & big_r(v0, v4) = 0 & big_p(v3) = 0) | ( ~ (v8 = 0) &
% 8.53/1.97 | | big_p(v2) = v8)))) & ! [v0: $i] : ! [v1:
% 8.53/1.97 | | MultipleValueBool] : ! [v2: $i] : ( ~ (big_p(v2) = 0) | ~
% 8.53/1.97 | | (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 8.53/1.97 | | $i] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int]
% 8.53/1.97 | | : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5 = 0 & big_r(v4, v3) =
% 8.53/1.97 | | 0 & big_r(v0, v4) = 0 & big_p(v3) = 0) | ( ~ (v8 = 0) &
% 8.53/1.97 | | big_r(v0, v2) = v8)))) & ! [v0: $i] : ! [v1: int] : (v1 =
% 8.53/1.97 | | 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 8.53/1.97 | | (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0 & $i(v3) &
% 8.53/1.97 | | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1, v0) = 0) |
% 8.53/1.97 | | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 8.53/1.97 | | (big_r(all_4_4, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2
% 8.53/1.97 | | = 0)))) & ( ~ (all_4_3 = 0) | (all_4_0 = 0 & all_4_1 = 0 &
% 8.53/1.97 | | big_r(all_4_4, all_4_2) = 0 & big_p(all_4_2) = 0))
% 8.53/1.97 | |
% 8.53/1.97 | | ALPHA: (10) implies:
% 8.53/1.97 | | (11) big_p(all_4_4) = all_4_3
% 8.53/1.97 | | (12) ~ (all_4_3 = 0) | (all_4_0 = 0 & all_4_1 = 0 & big_r(all_4_4,
% 8.53/1.97 | | all_4_2) = 0 & big_p(all_4_2) = 0)
% 8.53/1.98 | | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1, v0) = 0) | ~ $i(v1) | ~
% 8.53/1.98 | | $i(v0) | ? [v2: any] : ? [v3: any] : (big_r(all_4_4, v1) = v3 &
% 8.53/1.98 | | big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 8.53/1.98 | | (14) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_p(v0) = v1) | ~
% 8.53/1.98 | | $i(v0) | ? [v2: $i] : ? [v3: $i] : (big_r(v3, v2) = 0 &
% 8.53/1.98 | | big_r(v0, v3) = 0 & big_p(v2) = 0 & $i(v3) & $i(v2)))
% 8.53/1.98 | | (15) ! [v0: $i] : ! [v1: MultipleValueBool] : ! [v2: $i] : ( ~
% 8.53/1.98 | | (big_p(v2) = 0) | ~ (big_p(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ?
% 8.53/1.98 | | [v3: $i] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7:
% 8.53/1.98 | | int] : ? [v8: int] : ($i(v4) & $i(v3) & ((v7 = 0 & v6 = 0 & v5
% 8.53/1.98 | | = 0 & big_r(v4, v3) = 0 & big_r(v0, v4) = 0 & big_p(v3) = 0)
% 8.53/1.98 | | | ( ~ (v8 = 0) & big_r(v0, v2) = v8))))
% 8.53/1.98 | |
% 8.53/1.98 | | GROUND_INST: instantiating (14) with all_4_4, all_4_3, simplifying with (7),
% 8.53/1.98 | | (11) gives:
% 8.53/1.98 | | (16) all_4_3 = 0 | ? [v0: $i] : ? [v1: $i] : (big_r(v1, v0) = 0 &
% 8.53/1.98 | | big_r(all_4_4, v1) = 0 & big_p(v0) = 0 & $i(v1) & $i(v0))
% 8.53/1.98 | |
% 8.53/1.98 | | BETA: splitting (12) gives:
% 8.53/1.98 | |
% 8.53/1.98 | | Case 1:
% 8.53/1.98 | | |
% 8.53/1.98 | | | (17) ~ (all_4_3 = 0)
% 8.53/1.98 | | |
% 8.53/1.98 | | | BETA: splitting (16) gives:
% 8.53/1.98 | | |
% 8.53/1.98 | | | Case 1:
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | (18) all_4_3 = 0
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | REDUCE: (17), (18) imply:
% 8.53/1.98 | | | | (19) $false
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | CLOSE: (19) is inconsistent.
% 8.53/1.98 | | | |
% 8.53/1.98 | | | Case 2:
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | (20) ? [v0: $i] : ? [v1: $i] : (big_r(v1, v0) = 0 & big_r(all_4_4,
% 8.53/1.98 | | | | v1) = 0 & big_p(v0) = 0 & $i(v1) & $i(v0))
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | DELTA: instantiating (20) with fresh symbols all_34_0, all_34_1 gives:
% 8.53/1.98 | | | | (21) big_r(all_34_0, all_34_1) = 0 & big_r(all_4_4, all_34_0) = 0 &
% 8.53/1.98 | | | | big_p(all_34_1) = 0 & $i(all_34_0) & $i(all_34_1)
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | ALPHA: (21) implies:
% 8.53/1.98 | | | | (22) $i(all_34_1)
% 8.53/1.98 | | | | (23) $i(all_34_0)
% 8.53/1.98 | | | | (24) big_p(all_34_1) = 0
% 8.53/1.98 | | | | (25) big_r(all_4_4, all_34_0) = 0
% 8.53/1.98 | | | | (26) big_r(all_34_0, all_34_1) = 0
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | GROUND_INST: instantiating (13) with all_34_1, all_34_0, simplifying
% 8.53/1.98 | | | | with (22), (23), (26) gives:
% 8.53/1.98 | | | | (27) ? [v0: any] : ? [v1: any] : (big_r(all_4_4, all_34_0) = v1 &
% 8.53/1.98 | | | | big_p(all_34_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 8.53/1.98 | | | |
% 8.53/1.98 | | | | DELTA: instantiating (27) with fresh symbols all_41_0, all_41_1 gives:
% 8.53/1.99 | | | | (28) big_r(all_4_4, all_34_0) = all_41_0 & big_p(all_34_1) = all_41_1
% 8.53/1.99 | | | | & ( ~ (all_41_0 = 0) | ~ (all_41_1 = 0))
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | ALPHA: (28) implies:
% 8.53/1.99 | | | | (29) big_p(all_34_1) = all_41_1
% 8.53/1.99 | | | | (30) big_r(all_4_4, all_34_0) = all_41_0
% 8.53/1.99 | | | | (31) ~ (all_41_0 = 0) | ~ (all_41_1 = 0)
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | GROUND_INST: instantiating (2) with 0, all_41_1, all_34_1, simplifying
% 8.53/1.99 | | | | with (24), (29) gives:
% 8.53/1.99 | | | | (32) all_41_1 = 0
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | GROUND_INST: instantiating (3) with 0, all_41_0, all_34_0, all_4_4,
% 8.53/1.99 | | | | simplifying with (25), (30) gives:
% 8.53/1.99 | | | | (33) all_41_0 = 0
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | BETA: splitting (31) gives:
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | Case 1:
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | (34) ~ (all_41_0 = 0)
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | REDUCE: (33), (34) imply:
% 8.53/1.99 | | | | | (35) $false
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | CLOSE: (35) is inconsistent.
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | Case 2:
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | (36) ~ (all_41_1 = 0)
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | REDUCE: (32), (36) imply:
% 8.53/1.99 | | | | | (37) $false
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | | CLOSE: (37) is inconsistent.
% 8.53/1.99 | | | | |
% 8.53/1.99 | | | | End of split
% 8.53/1.99 | | | |
% 8.53/1.99 | | | End of split
% 8.53/1.99 | | |
% 8.53/1.99 | | Case 2:
% 8.53/1.99 | | |
% 8.53/1.99 | | | (38) all_4_3 = 0
% 8.53/1.99 | | | (39) all_4_0 = 0 & all_4_1 = 0 & big_r(all_4_4, all_4_2) = 0 &
% 8.53/1.99 | | | big_p(all_4_2) = 0
% 8.53/1.99 | | |
% 8.53/1.99 | | | ALPHA: (39) implies:
% 8.53/1.99 | | | (40) big_p(all_4_2) = 0
% 8.53/1.99 | | | (41) big_r(all_4_4, all_4_2) = 0
% 8.53/1.99 | | |
% 8.53/1.99 | | | REDUCE: (11), (38) imply:
% 8.53/1.99 | | | (42) big_p(all_4_4) = 0
% 8.53/1.99 | | |
% 8.53/1.99 | | | GROUND_INST: instantiating (15) with all_4_4, 0, all_4_2, simplifying with
% 8.53/1.99 | | | (7), (8), (40), (42) gives:
% 8.53/1.99 | | | (43) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ? [v4:
% 8.53/1.99 | | | int] : ? [v5: int] : ($i(v1) & $i(v0) & ((v4 = 0 & v3 = 0 & v2
% 8.53/1.99 | | | = 0 & big_r(v1, v0) = 0 & big_r(all_4_4, v1) = 0 & big_p(v0)
% 8.53/1.99 | | | = 0) | ( ~ (v5 = 0) & big_r(all_4_4, all_4_2) = v5)))
% 8.53/1.99 | | |
% 8.53/1.99 | | | DELTA: instantiating (43) with fresh symbols all_43_0, all_43_1, all_43_2,
% 8.53/1.99 | | | all_43_3, all_43_4, all_43_5 gives:
% 8.53/1.99 | | | (44) $i(all_43_4) & $i(all_43_5) & ((all_43_1 = 0 & all_43_2 = 0 &
% 8.53/1.99 | | | all_43_3 = 0 & big_r(all_43_4, all_43_5) = 0 & big_r(all_4_4,
% 8.53/1.99 | | | all_43_4) = 0 & big_p(all_43_5) = 0) | ( ~ (all_43_0 = 0) &
% 8.53/1.99 | | | big_r(all_4_4, all_4_2) = all_43_0))
% 8.53/1.99 | | |
% 8.53/1.99 | | | ALPHA: (44) implies:
% 8.53/1.99 | | | (45) $i(all_43_5)
% 8.53/1.99 | | | (46) $i(all_43_4)
% 8.53/1.99 | | | (47) (all_43_1 = 0 & all_43_2 = 0 & all_43_3 = 0 & big_r(all_43_4,
% 8.53/1.99 | | | all_43_5) = 0 & big_r(all_4_4, all_43_4) = 0 & big_p(all_43_5)
% 8.53/1.99 | | | = 0) | ( ~ (all_43_0 = 0) & big_r(all_4_4, all_4_2) = all_43_0)
% 8.53/1.99 | | |
% 8.53/1.99 | | | BETA: splitting (47) gives:
% 8.53/1.99 | | |
% 8.53/1.99 | | | Case 1:
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | (48) all_43_1 = 0 & all_43_2 = 0 & all_43_3 = 0 & big_r(all_43_4,
% 8.53/1.99 | | | | all_43_5) = 0 & big_r(all_4_4, all_43_4) = 0 & big_p(all_43_5)
% 8.53/1.99 | | | | = 0
% 8.53/1.99 | | | |
% 8.53/1.99 | | | | ALPHA: (48) implies:
% 8.53/1.99 | | | | (49) big_p(all_43_5) = 0
% 8.53/1.99 | | | | (50) big_r(all_4_4, all_43_4) = 0
% 8.53/1.99 | | | | (51) big_r(all_43_4, all_43_5) = 0
% 8.53/1.99 | | | |
% 8.53/2.00 | | | | GROUND_INST: instantiating (13) with all_43_5, all_43_4, simplifying
% 8.53/2.00 | | | | with (45), (46), (51) gives:
% 8.53/2.00 | | | | (52) ? [v0: any] : ? [v1: any] : (big_r(all_4_4, all_43_4) = v1 &
% 8.53/2.00 | | | | big_p(all_43_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | DELTA: instantiating (52) with fresh symbols all_76_0, all_76_1 gives:
% 8.53/2.00 | | | | (53) big_r(all_4_4, all_43_4) = all_76_0 & big_p(all_43_5) = all_76_1
% 8.53/2.00 | | | | & ( ~ (all_76_0 = 0) | ~ (all_76_1 = 0))
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | ALPHA: (53) implies:
% 8.53/2.00 | | | | (54) big_p(all_43_5) = all_76_1
% 8.53/2.00 | | | | (55) big_r(all_4_4, all_43_4) = all_76_0
% 8.53/2.00 | | | | (56) ~ (all_76_0 = 0) | ~ (all_76_1 = 0)
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | GROUND_INST: instantiating (2) with 0, all_76_1, all_43_5, simplifying
% 8.53/2.00 | | | | with (49), (54) gives:
% 8.53/2.00 | | | | (57) all_76_1 = 0
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | GROUND_INST: instantiating (3) with 0, all_76_0, all_43_4, all_4_4,
% 8.53/2.00 | | | | simplifying with (50), (55) gives:
% 8.53/2.00 | | | | (58) all_76_0 = 0
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | BETA: splitting (56) gives:
% 8.53/2.00 | | | |
% 8.53/2.00 | | | | Case 1:
% 8.53/2.00 | | | | |
% 8.53/2.00 | | | | | (59) ~ (all_76_0 = 0)
% 8.53/2.00 | | | | |
% 8.53/2.00 | | | | | REDUCE: (58), (59) imply:
% 9.30/2.00 | | | | | (60) $false
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | | CLOSE: (60) is inconsistent.
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | Case 2:
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | | (61) ~ (all_76_1 = 0)
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | | REDUCE: (57), (61) imply:
% 9.30/2.00 | | | | | (62) $false
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | | CLOSE: (62) is inconsistent.
% 9.30/2.00 | | | | |
% 9.30/2.00 | | | | End of split
% 9.30/2.00 | | | |
% 9.30/2.00 | | | Case 2:
% 9.30/2.00 | | | |
% 9.30/2.00 | | | | (63) ~ (all_43_0 = 0) & big_r(all_4_4, all_4_2) = all_43_0
% 9.30/2.00 | | | |
% 9.30/2.00 | | | | ALPHA: (63) implies:
% 9.30/2.00 | | | | (64) ~ (all_43_0 = 0)
% 9.30/2.00 | | | | (65) big_r(all_4_4, all_4_2) = all_43_0
% 9.30/2.00 | | | |
% 9.30/2.00 | | | | GROUND_INST: instantiating (3) with 0, all_43_0, all_4_2, all_4_4,
% 9.30/2.00 | | | | simplifying with (41), (65) gives:
% 9.30/2.00 | | | | (66) all_43_0 = 0
% 9.30/2.00 | | | |
% 9.30/2.00 | | | | REDUCE: (64), (66) imply:
% 9.30/2.00 | | | | (67) $false
% 9.30/2.00 | | | |
% 9.30/2.00 | | | | CLOSE: (67) is inconsistent.
% 9.30/2.00 | | | |
% 9.30/2.00 | | | End of split
% 9.30/2.00 | | |
% 9.30/2.00 | | End of split
% 9.30/2.00 | |
% 9.30/2.00 | Case 2:
% 9.30/2.00 | |
% 9.30/2.00 | | (68) all_4_10 = 0 & big_p(all_4_9) = all_4_8 & ! [v0: $i] : ! [v1: int]
% 9.30/2.00 | | : (v1 = 0 | ~ (big_p(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 9.30/2.00 | | $i] : (big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2) = 0 &
% 9.30/2.00 | | $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1,
% 9.30/2.00 | | v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any]
% 9.30/2.00 | | : (big_r(all_4_9, v1) = v3 & big_p(v0) = v2 & ( ~ (v3 = 0) | ~
% 9.30/2.00 | | (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v0, v1) =
% 9.30/2.00 | | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4:
% 9.30/2.00 | | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ($i(v3) &
% 9.30/2.00 | | $i(v2) & ((v6 = 0 & v5 = 0 & v4 = 0 & big_r(v3, v2) = 0 &
% 9.30/2.00 | | big_r(v0, v3) = 0 & big_p(v2) = 0) | ( ~ (v7 = 0) &
% 9.30/2.00 | | big_p(v1) = v7)))) & ? [v0: $i] : ! [v1: $i] : ( ~
% 9.30/2.00 | | (big_p(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 9.30/2.00 | | $i] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int]
% 9.30/2.00 | | : ($i(v3) & $i(v2) & ((v6 = 0 & v5 = 0 & v4 = 0 & big_r(v3, v2) =
% 9.30/2.00 | | 0 & big_r(v0, v3) = 0 & big_p(v2) = 0) | ( ~ (v7 = 0) &
% 9.30/2.00 | | big_r(v0, v1) = v7)))) & ( ~ (all_4_8 = 0) | (all_4_5 = 0 &
% 9.30/2.00 | | all_4_6 = 0 & big_r(all_4_9, all_4_7) = 0 & big_p(all_4_7) = 0))
% 9.30/2.00 | |
% 9.30/2.00 | | ALPHA: (68) implies:
% 9.30/2.01 | | (69) big_p(all_4_9) = all_4_8
% 9.30/2.01 | | (70) ~ (all_4_8 = 0) | (all_4_5 = 0 & all_4_6 = 0 & big_r(all_4_9,
% 9.30/2.01 | | all_4_7) = 0 & big_p(all_4_7) = 0)
% 9.30/2.01 | | (71) ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v0, v1) = 0) | ~ $i(v1) | ~
% 9.30/2.01 | | $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: int] :
% 9.30/2.01 | | ? [v6: int] : ? [v7: int] : ($i(v3) & $i(v2) & ((v6 = 0 & v5 = 0
% 9.30/2.01 | | & v4 = 0 & big_r(v3, v2) = 0 & big_r(v0, v3) = 0 & big_p(v2)
% 9.30/2.01 | | = 0) | ( ~ (v7 = 0) & big_p(v1) = v7))))
% 9.30/2.01 | | (72) ! [v0: $i] : ! [v1: $i] : ( ~ (big_r(v1, v0) = 0) | ~ $i(v1) | ~
% 9.30/2.01 | | $i(v0) | ? [v2: any] : ? [v3: any] : (big_r(all_4_9, v1) = v3 &
% 9.30/2.01 | | big_p(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 9.30/2.01 | | (73) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (big_p(v0) = v1) | ~
% 9.30/2.01 | | $i(v0) | ? [v2: $i] : ? [v3: $i] : (big_r(v3, v2) = 0 &
% 9.30/2.01 | | big_r(v0, v3) = 0 & big_p(v2) = 0 & $i(v3) & $i(v2)))
% 9.30/2.01 | |
% 9.30/2.01 | | GROUND_INST: instantiating (73) with all_4_9, all_4_8, simplifying with (5),
% 9.30/2.01 | | (69) gives:
% 9.30/2.01 | | (74) all_4_8 = 0 | ? [v0: $i] : ? [v1: $i] : (big_r(v1, v0) = 0 &
% 9.30/2.01 | | big_r(all_4_9, v1) = 0 & big_p(v0) = 0 & $i(v1) & $i(v0))
% 9.30/2.01 | |
% 9.30/2.01 | | BETA: splitting (70) gives:
% 9.30/2.01 | |
% 9.30/2.01 | | Case 1:
% 9.30/2.01 | | |
% 9.30/2.01 | | | (75) ~ (all_4_8 = 0)
% 9.30/2.01 | | |
% 9.30/2.01 | | | BETA: splitting (74) gives:
% 9.30/2.01 | | |
% 9.30/2.01 | | | Case 1:
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | (76) all_4_8 = 0
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | REDUCE: (75), (76) imply:
% 9.30/2.01 | | | | (77) $false
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | CLOSE: (77) is inconsistent.
% 9.30/2.01 | | | |
% 9.30/2.01 | | | Case 2:
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | (78) ? [v0: $i] : ? [v1: $i] : (big_r(v1, v0) = 0 & big_r(all_4_9,
% 9.30/2.01 | | | | v1) = 0 & big_p(v0) = 0 & $i(v1) & $i(v0))
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | DELTA: instantiating (78) with fresh symbols all_27_0, all_27_1 gives:
% 9.30/2.01 | | | | (79) big_r(all_27_0, all_27_1) = 0 & big_r(all_4_9, all_27_0) = 0 &
% 9.30/2.01 | | | | big_p(all_27_1) = 0 & $i(all_27_0) & $i(all_27_1)
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | ALPHA: (79) implies:
% 9.30/2.01 | | | | (80) $i(all_27_1)
% 9.30/2.01 | | | | (81) $i(all_27_0)
% 9.30/2.01 | | | | (82) big_p(all_27_1) = 0
% 9.30/2.01 | | | | (83) big_r(all_4_9, all_27_0) = 0
% 9.30/2.01 | | | | (84) big_r(all_27_0, all_27_1) = 0
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | GROUND_INST: instantiating (72) with all_27_1, all_27_0, simplifying
% 9.30/2.01 | | | | with (80), (81), (84) gives:
% 9.30/2.01 | | | | (85) ? [v0: any] : ? [v1: any] : (big_r(all_4_9, all_27_0) = v1 &
% 9.30/2.01 | | | | big_p(all_27_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | DELTA: instantiating (85) with fresh symbols all_34_0, all_34_1 gives:
% 9.30/2.01 | | | | (86) big_r(all_4_9, all_27_0) = all_34_0 & big_p(all_27_1) = all_34_1
% 9.30/2.01 | | | | & ( ~ (all_34_0 = 0) | ~ (all_34_1 = 0))
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | ALPHA: (86) implies:
% 9.30/2.01 | | | | (87) big_p(all_27_1) = all_34_1
% 9.30/2.01 | | | | (88) big_r(all_4_9, all_27_0) = all_34_0
% 9.30/2.01 | | | | (89) ~ (all_34_0 = 0) | ~ (all_34_1 = 0)
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | GROUND_INST: instantiating (2) with 0, all_34_1, all_27_1, simplifying
% 9.30/2.01 | | | | with (82), (87) gives:
% 9.30/2.01 | | | | (90) all_34_1 = 0
% 9.30/2.01 | | | |
% 9.30/2.01 | | | | GROUND_INST: instantiating (3) with 0, all_34_0, all_27_0, all_4_9,
% 9.30/2.01 | | | | simplifying with (83), (88) gives:
% 9.30/2.02 | | | | (91) all_34_0 = 0
% 9.30/2.02 | | | |
% 9.30/2.02 | | | | BETA: splitting (89) gives:
% 9.30/2.02 | | | |
% 9.30/2.02 | | | | Case 1:
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | (92) ~ (all_34_0 = 0)
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | REDUCE: (91), (92) imply:
% 9.30/2.02 | | | | | (93) $false
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | CLOSE: (93) is inconsistent.
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | Case 2:
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | (94) ~ (all_34_1 = 0)
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | REDUCE: (90), (94) imply:
% 9.30/2.02 | | | | | (95) $false
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | | CLOSE: (95) is inconsistent.
% 9.30/2.02 | | | | |
% 9.30/2.02 | | | | End of split
% 9.30/2.02 | | | |
% 9.30/2.02 | | | End of split
% 9.30/2.02 | | |
% 9.30/2.02 | | Case 2:
% 9.30/2.02 | | |
% 9.30/2.02 | | | (96) all_4_5 = 0 & all_4_6 = 0 & big_r(all_4_9, all_4_7) = 0 &
% 9.30/2.02 | | | big_p(all_4_7) = 0
% 9.30/2.02 | | |
% 9.30/2.02 | | | ALPHA: (96) implies:
% 9.30/2.02 | | | (97) big_p(all_4_7) = 0
% 9.30/2.02 | | | (98) big_r(all_4_9, all_4_7) = 0
% 9.30/2.02 | | |
% 9.30/2.02 | | | GROUND_INST: instantiating (72) with all_4_7, all_4_9, simplifying with
% 9.30/2.02 | | | (5), (6), (98) gives:
% 9.30/2.02 | | | (99) ? [v0: any] : ? [v1: any] : (big_r(all_4_9, all_4_9) = v1 &
% 9.30/2.02 | | | big_p(all_4_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 9.30/2.02 | | |
% 9.30/2.02 | | | GROUND_INST: instantiating (71) with all_4_9, all_4_7, simplifying with
% 9.30/2.02 | | | (5), (6), (98) gives:
% 9.30/2.02 | | | (100) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ? [v4:
% 9.30/2.02 | | | int] : ? [v5: int] : ($i(v1) & $i(v0) & ((v4 = 0 & v3 = 0 & v2
% 9.30/2.02 | | | = 0 & big_r(v1, v0) = 0 & big_r(all_4_9, v1) = 0 &
% 9.30/2.02 | | | big_p(v0) = 0) | ( ~ (v5 = 0) & big_p(all_4_7) = v5)))
% 9.30/2.02 | | |
% 9.30/2.02 | | | DELTA: instantiating (99) with fresh symbols all_28_0, all_28_1 gives:
% 9.30/2.02 | | | (101) big_r(all_4_9, all_4_9) = all_28_0 & big_p(all_4_7) = all_28_1 &
% 9.30/2.02 | | | ( ~ (all_28_0 = 0) | ~ (all_28_1 = 0))
% 9.30/2.02 | | |
% 9.30/2.02 | | | ALPHA: (101) implies:
% 9.30/2.02 | | | (102) big_p(all_4_7) = all_28_1
% 9.30/2.02 | | |
% 9.30/2.02 | | | DELTA: instantiating (100) with fresh symbols all_30_0, all_30_1,
% 9.30/2.02 | | | all_30_2, all_30_3, all_30_4, all_30_5 gives:
% 9.30/2.02 | | | (103) $i(all_30_4) & $i(all_30_5) & ((all_30_1 = 0 & all_30_2 = 0 &
% 9.30/2.02 | | | all_30_3 = 0 & big_r(all_30_4, all_30_5) = 0 & big_r(all_4_9,
% 9.30/2.02 | | | all_30_4) = 0 & big_p(all_30_5) = 0) | ( ~ (all_30_0 = 0) &
% 9.30/2.02 | | | big_p(all_4_7) = all_30_0))
% 9.30/2.02 | | |
% 9.30/2.02 | | | ALPHA: (103) implies:
% 9.30/2.02 | | | (104) $i(all_30_5)
% 9.30/2.02 | | | (105) $i(all_30_4)
% 9.30/2.02 | | | (106) (all_30_1 = 0 & all_30_2 = 0 & all_30_3 = 0 & big_r(all_30_4,
% 9.30/2.02 | | | all_30_5) = 0 & big_r(all_4_9, all_30_4) = 0 &
% 9.30/2.02 | | | big_p(all_30_5) = 0) | ( ~ (all_30_0 = 0) & big_p(all_4_7) =
% 9.30/2.02 | | | all_30_0)
% 9.30/2.02 | | |
% 9.30/2.02 | | | GROUND_INST: instantiating (2) with 0, all_28_1, all_4_7, simplifying with
% 9.30/2.02 | | | (97), (102) gives:
% 9.30/2.02 | | | (107) all_28_1 = 0
% 9.30/2.02 | | |
% 9.30/2.02 | | | BETA: splitting (106) gives:
% 9.30/2.02 | | |
% 9.30/2.02 | | | Case 1:
% 9.30/2.02 | | | |
% 9.30/2.02 | | | | (108) all_30_1 = 0 & all_30_2 = 0 & all_30_3 = 0 & big_r(all_30_4,
% 9.30/2.02 | | | | all_30_5) = 0 & big_r(all_4_9, all_30_4) = 0 &
% 9.30/2.02 | | | | big_p(all_30_5) = 0
% 9.30/2.02 | | | |
% 9.30/2.02 | | | | ALPHA: (108) implies:
% 9.30/2.02 | | | | (109) big_p(all_30_5) = 0
% 9.30/2.03 | | | | (110) big_r(all_4_9, all_30_4) = 0
% 9.30/2.03 | | | | (111) big_r(all_30_4, all_30_5) = 0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | GROUND_INST: instantiating (72) with all_30_5, all_30_4, simplifying
% 9.30/2.03 | | | | with (104), (105), (111) gives:
% 9.30/2.03 | | | | (112) ? [v0: any] : ? [v1: any] : (big_r(all_4_9, all_30_4) = v1 &
% 9.30/2.03 | | | | big_p(all_30_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | DELTA: instantiating (112) with fresh symbols all_49_0, all_49_1 gives:
% 9.30/2.03 | | | | (113) big_r(all_4_9, all_30_4) = all_49_0 & big_p(all_30_5) =
% 9.30/2.03 | | | | all_49_1 & ( ~ (all_49_0 = 0) | ~ (all_49_1 = 0))
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | ALPHA: (113) implies:
% 9.30/2.03 | | | | (114) big_p(all_30_5) = all_49_1
% 9.30/2.03 | | | | (115) big_r(all_4_9, all_30_4) = all_49_0
% 9.30/2.03 | | | | (116) ~ (all_49_0 = 0) | ~ (all_49_1 = 0)
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | GROUND_INST: instantiating (2) with 0, all_49_1, all_30_5, simplifying
% 9.30/2.03 | | | | with (109), (114) gives:
% 9.30/2.03 | | | | (117) all_49_1 = 0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | GROUND_INST: instantiating (3) with 0, all_49_0, all_30_4, all_4_9,
% 9.30/2.03 | | | | simplifying with (110), (115) gives:
% 9.30/2.03 | | | | (118) all_49_0 = 0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | BETA: splitting (116) gives:
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | Case 1:
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | (119) ~ (all_49_0 = 0)
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | REDUCE: (118), (119) imply:
% 9.30/2.03 | | | | | (120) $false
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | CLOSE: (120) is inconsistent.
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | Case 2:
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | (121) ~ (all_49_1 = 0)
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | REDUCE: (117), (121) imply:
% 9.30/2.03 | | | | | (122) $false
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | | CLOSE: (122) is inconsistent.
% 9.30/2.03 | | | | |
% 9.30/2.03 | | | | End of split
% 9.30/2.03 | | | |
% 9.30/2.03 | | | Case 2:
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | (123) ~ (all_30_0 = 0) & big_p(all_4_7) = all_30_0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | ALPHA: (123) implies:
% 9.30/2.03 | | | | (124) ~ (all_30_0 = 0)
% 9.30/2.03 | | | | (125) big_p(all_4_7) = all_30_0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | GROUND_INST: instantiating (2) with 0, all_30_0, all_4_7, simplifying
% 9.30/2.03 | | | | with (97), (125) gives:
% 9.30/2.03 | | | | (126) all_30_0 = 0
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | REDUCE: (124), (126) imply:
% 9.30/2.03 | | | | (127) $false
% 9.30/2.03 | | | |
% 9.30/2.03 | | | | CLOSE: (127) is inconsistent.
% 9.30/2.03 | | | |
% 9.30/2.03 | | | End of split
% 9.30/2.03 | | |
% 9.30/2.03 | | End of split
% 9.30/2.03 | |
% 9.30/2.03 | End of split
% 9.30/2.03 |
% 9.30/2.03 End of proof
% 9.30/2.03 % SZS output end Proof for theBenchmark
% 9.30/2.03
% 9.30/2.03 1428ms
%------------------------------------------------------------------------------