TSTP Solution File: DAT049_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : DAT049_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n018.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 22:19:01 EDT 2023
% Result : Theorem 8.75s 1.93s
% Output : Proof 14.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : DAT049_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.30 % Computer : n018.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu Aug 24 15:00:58 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.13/0.51 ________ _____
% 0.13/0.51 ___ __ \_________(_)________________________________
% 0.13/0.51 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.13/0.51 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.13/0.51 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.13/0.51
% 0.13/0.51 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.13/0.51 (2023-06-19)
% 0.13/0.51
% 0.13/0.51 (c) Philipp Rümmer, 2009-2023
% 0.13/0.51 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.13/0.51 Amanda Stjerna.
% 0.13/0.51 Free software under BSD-3-Clause.
% 0.13/0.51
% 0.13/0.51 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.13/0.51
% 0.13/0.51 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.52 Running up to 7 provers in parallel.
% 0.13/0.55 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.13/0.55 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.13/0.55 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.13/0.55 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.13/0.55 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.13/0.55 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.13/0.55 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.12/0.99 Prover 1: Preprocessing ...
% 2.12/1.00 Prover 4: Preprocessing ...
% 2.57/1.06 Prover 2: Preprocessing ...
% 2.57/1.06 Prover 0: Preprocessing ...
% 2.57/1.06 Prover 3: Preprocessing ...
% 2.57/1.06 Prover 5: Preprocessing ...
% 2.57/1.06 Prover 6: Preprocessing ...
% 4.66/1.46 Prover 5: Proving ...
% 4.66/1.47 Prover 6: Constructing countermodel ...
% 4.66/1.47 Prover 1: Constructing countermodel ...
% 4.66/1.47 Prover 3: Constructing countermodel ...
% 4.66/1.53 Prover 0: Proving ...
% 5.94/1.54 Prover 4: Constructing countermodel ...
% 5.94/1.56 Prover 2: Proving ...
% 8.75/1.93 Prover 3: proved (1386ms)
% 8.75/1.93
% 8.75/1.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.75/1.93
% 8.75/1.93 Prover 6: stopped
% 8.75/1.93 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.75/1.94 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.75/1.96 Prover 0: stopped
% 8.75/1.96 Prover 5: stopped
% 8.75/1.96 Prover 2: stopped
% 8.75/1.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.75/1.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.75/1.98 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.75/2.00 Prover 8: Preprocessing ...
% 9.41/2.01 Prover 7: Preprocessing ...
% 9.41/2.01 Prover 11: Preprocessing ...
% 9.41/2.02 Prover 10: Preprocessing ...
% 9.41/2.03 Prover 13: Preprocessing ...
% 10.05/2.10 Prover 7: Constructing countermodel ...
% 10.05/2.11 Prover 10: Constructing countermodel ...
% 10.05/2.11 Prover 13: Warning: ignoring some quantifiers
% 10.05/2.12 Prover 13: Constructing countermodel ...
% 10.05/2.15 Prover 8: Warning: ignoring some quantifiers
% 10.05/2.15 Prover 8: Constructing countermodel ...
% 10.05/2.24 Prover 11: Constructing countermodel ...
% 12.47/2.48 Prover 1: Found proof (size 188)
% 12.47/2.48 Prover 1: proved (1944ms)
% 12.47/2.48 Prover 7: stopped
% 12.47/2.48 Prover 8: stopped
% 12.47/2.48 Prover 13: stopped
% 12.47/2.48 Prover 4: stopped
% 12.47/2.48 Prover 11: stopped
% 12.47/2.49 Prover 10: Found proof (size 180)
% 12.47/2.49 Prover 10: proved (518ms)
% 12.47/2.49
% 12.47/2.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.47/2.49
% 13.30/2.59 % SZS output start Proof for theBenchmark
% 13.30/2.59 Assumptions after simplification:
% 13.30/2.59 ---------------------------------
% 13.30/2.59
% 13.30/2.59 (ax2)
% 13.30/2.62 collection(empty) & ! [v0: int] : ! [v1: collection] : ! [v2: collection] :
% 13.30/2.62 ! [v3: int] : (v3 = 0 | ~ (add(v0, v1) = v2) | ~ (in(v0, v2) = v3) | ~
% 13.30/2.62 collection(v1)) & ! [v0: collection] : (v0 = empty | ~ (count(v0) = 0) |
% 13.30/2.62 ~ collection(v0)) & ! [v0: int] : (v0 = 0 | ~ (count(empty) = v0))
% 13.30/2.62
% 13.30/2.62 (ax3)
% 13.30/2.62 ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (remove(v0, v1)
% 13.30/2.62 = v2) | ~ (in(v0, v2) = 0) | ~ collection(v1)) & ! [v0: int] : ! [v1:
% 13.30/2.62 collection] : ! [v2: collection] : ( ~ (add(v0, v1) = v2) | ~
% 13.30/2.62 collection(v1) | ? [v3: any] : ? [v4: int] : ? [v5: int] : (count(v2) =
% 13.30/2.62 v4 & count(v1) = v5 & in(v0, v1) = v3 & ($difference(v5, v4) = -1 | v3 =
% 13.30/2.62 0))) & ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~
% 13.30/2.62 (add(v0, v1) = v2) | ~ collection(v1) | ? [v3: int] : ? [v4: int] : ?
% 13.30/2.62 [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1) = v5 & ( ~ (v5 =
% 13.30/2.62 0) | ~ ($difference(v4, v3) = -1))))
% 13.30/2.62
% 13.30/2.62 (ax4)
% 13.30/2.63 ! [v0: int] : ! [v1: collection] : ! [v2: int] : ! [v3: collection] : !
% 13.30/2.63 [v4: int] : (v4 = 0 | ~ (add(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ~
% 13.30/2.63 collection(v1) | ( ~ (v2 = v0) & ? [v5: int] : ( ~ (v5 = 0) & in(v0, v1) =
% 13.30/2.63 v5))) & ! [v0: int] : ! [v1: collection] : ! [v2: int] : ! [v3:
% 13.30/2.63 collection] : (v2 = v0 | ~ (add(v2, v1) = v3) | ~ (in(v0, v3) = 0) | ~
% 13.30/2.63 collection(v1) | in(v0, v1) = 0) & ! [v0: int] : ! [v1: collection] : !
% 13.30/2.63 [v2: collection] : ( ~ (add(v0, v1) = v2) | ~ collection(v1) | ? [v3: any] :
% 13.30/2.63 ? [v4: int] : ? [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1)
% 13.30/2.63 = v3 & ( ~ (v3 = 0) | v5 = v4))) & ! [v0: int] : ! [v1: collection] : !
% 13.30/2.63 [v2: collection] : ( ~ (add(v0, v1) = v2) | ~ collection(v1) | ? [v3: int] :
% 13.30/2.63 ? [v4: int] : ? [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1)
% 13.30/2.63 = v5 & ( ~ (v4 = v3) | v5 = 0)))
% 13.30/2.63
% 13.30/2.63 (ax5)
% 13.30/2.64 ! [v0: int] : ! [v1: collection] : ! [v2: int] : ! [v3: collection] : !
% 13.30/2.64 [v4: int] : (v4 = 0 | v2 = v0 | ~ (remove(v2, v1) = v3) | ~ (in(v0, v3) =
% 13.30/2.64 v4) | ~ collection(v1) | ? [v5: int] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 13.30/2.64 & ! [v0: int] : ! [v1: collection] : ! [v2: int] : ! [v3: collection] : (
% 13.30/2.64 ~ (remove(v2, v1) = v3) | ~ (in(v0, v3) = 0) | ~ collection(v1) | ( ~ (v2
% 13.30/2.64 = v0) & in(v0, v1) = 0)) & ! [v0: int] : ! [v1: collection] : ! [v2:
% 13.30/2.64 collection] : ( ~ (remove(v0, v1) = v2) | ~ collection(v1) | ? [v3: any] :
% 13.30/2.64 ? [v4: int] : ? [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1)
% 13.30/2.64 = v3 & ( ~ (v3 = 0) | $difference(v5, v4) = 1))) & ! [v0: int] : ! [v1:
% 13.30/2.64 collection] : ! [v2: collection] : ( ~ (remove(v0, v1) = v2) | ~
% 13.30/2.64 collection(v1) | ? [v3: int] : ? [v4: int] : ? [v5: any] : (count(v2) =
% 13.30/2.64 v3 & count(v1) = v4 & in(v0, v1) = v5 & ( ~ ($difference(v4, v3) = 1) | v5
% 13.30/2.64 = 0)))
% 13.30/2.64
% 13.30/2.64 (ax6)
% 13.30/2.64 ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (remove(v0, v1)
% 13.30/2.64 = v2) | ~ collection(v1) | ? [v3: any] : ? [v4: int] : ? [v5: int] :
% 13.30/2.64 (count(v2) = v4 & count(v1) = v5 & in(v0, v1) = v3 & (v5 = v4 | v3 = 0))) &
% 13.30/2.64 ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (remove(v0, v1)
% 13.30/2.64 = v2) | ~ collection(v1) | ? [v3: int] : ? [v4: int] : ? [v5: any] :
% 13.30/2.64 (count(v2) = v3 & count(v1) = v4 & in(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 13.30/2.64 v3))))
% 13.30/2.64
% 13.30/2.64 (co1)
% 13.30/2.64 ? [v0: collection] : ? [v1: int] : ? [v2: collection] : ? [v3: collection]
% 13.30/2.64 : ? [v4: int] : ? [v5: collection] : ? [v6: int] : ( ~ (v6 = v4) &
% 13.30/2.64 remove(v1, v2) = v3 & remove(v1, v0) = v5 & add(v1, v0) = v2 & count(v5) =
% 13.30/2.64 v6 & count(v3) = v4 & collection(v5) & collection(v3) & collection(v2) &
% 13.30/2.64 collection(v0))
% 13.30/2.64
% 13.30/2.64 (function-axioms)
% 13.30/2.65 ! [v0: collection] : ! [v1: collection] : ! [v2: collection] : ! [v3: int]
% 13.30/2.65 : (v1 = v0 | ~ (remove(v3, v2) = v1) | ~ (remove(v3, v2) = v0)) & ! [v0:
% 13.30/2.65 collection] : ! [v1: collection] : ! [v2: collection] : ! [v3: int] : (v1
% 13.30/2.65 = v0 | ~ (add(v3, v2) = v1) | ~ (add(v3, v2) = v0)) & ! [v0:
% 13.30/2.65 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: collection] : !
% 13.30/2.65 [v3: int] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0:
% 13.30/2.65 int] : ! [v1: int] : ! [v2: collection] : (v1 = v0 | ~ (count(v2) = v1) |
% 13.30/2.65 ~ (count(v2) = v0))
% 13.30/2.65
% 13.30/2.65 Further assumptions not needed in the proof:
% 13.30/2.65 --------------------------------------------
% 13.30/2.65 ax1, ax7
% 13.30/2.65
% 13.30/2.65 Those formulas are unsatisfiable:
% 13.30/2.65 ---------------------------------
% 13.30/2.65
% 13.30/2.65 Begin of proof
% 13.30/2.65 |
% 13.30/2.65 | ALPHA: (ax2) implies:
% 13.30/2.65 | (1) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ! [v3: int]
% 13.30/2.65 | : (v3 = 0 | ~ (add(v0, v1) = v2) | ~ (in(v0, v2) = v3) | ~
% 13.30/2.65 | collection(v1))
% 13.30/2.65 |
% 13.30/2.65 | ALPHA: (ax3) implies:
% 13.30/2.65 | (2) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (add(v0,
% 13.30/2.65 | v1) = v2) | ~ collection(v1) | ? [v3: int] : ? [v4: int] : ?
% 13.30/2.65 | [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1) = v5 & ( ~
% 13.30/2.65 | (v5 = 0) | ~ ($difference(v4, v3) = -1))))
% 13.30/2.66 | (3) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (add(v0,
% 13.30/2.66 | v1) = v2) | ~ collection(v1) | ? [v3: any] : ? [v4: int] : ?
% 13.30/2.66 | [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1) = v3 &
% 13.30/2.66 | ($difference(v5, v4) = -1 | v3 = 0)))
% 13.30/2.66 |
% 13.30/2.66 | ALPHA: (ax4) implies:
% 13.30/2.66 | (4) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (add(v0,
% 13.30/2.66 | v1) = v2) | ~ collection(v1) | ? [v3: int] : ? [v4: int] : ?
% 13.30/2.66 | [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1) = v5 & ( ~
% 13.30/2.66 | (v4 = v3) | v5 = 0)))
% 13.30/2.66 | (5) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~ (add(v0,
% 13.30/2.66 | v1) = v2) | ~ collection(v1) | ? [v3: any] : ? [v4: int] : ?
% 13.30/2.66 | [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1) = v3 & ( ~
% 13.30/2.66 | (v3 = 0) | v5 = v4)))
% 13.30/2.66 |
% 13.30/2.66 | ALPHA: (ax5) implies:
% 13.30/2.66 | (6) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~
% 13.30/2.66 | (remove(v0, v1) = v2) | ~ collection(v1) | ? [v3: int] : ? [v4:
% 13.30/2.66 | int] : ? [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1)
% 13.30/2.66 | = v5 & ( ~ ($difference(v4, v3) = 1) | v5 = 0)))
% 13.30/2.66 | (7) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~
% 13.30/2.66 | (remove(v0, v1) = v2) | ~ collection(v1) | ? [v3: any] : ? [v4:
% 13.30/2.66 | int] : ? [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1)
% 13.30/2.66 | = v3 & ( ~ (v3 = 0) | $difference(v5, v4) = 1)))
% 13.30/2.66 |
% 13.30/2.66 | ALPHA: (ax6) implies:
% 13.73/2.66 | (8) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~
% 13.73/2.66 | (remove(v0, v1) = v2) | ~ collection(v1) | ? [v3: int] : ? [v4:
% 13.73/2.66 | int] : ? [v5: any] : (count(v2) = v3 & count(v1) = v4 & in(v0, v1)
% 13.73/2.67 | = v5 & ( ~ (v5 = 0) | ~ (v4 = v3))))
% 13.73/2.67 | (9) ! [v0: int] : ! [v1: collection] : ! [v2: collection] : ( ~
% 13.73/2.67 | (remove(v0, v1) = v2) | ~ collection(v1) | ? [v3: any] : ? [v4:
% 13.73/2.67 | int] : ? [v5: int] : (count(v2) = v4 & count(v1) = v5 & in(v0, v1)
% 13.73/2.67 | = v3 & (v5 = v4 | v3 = 0)))
% 13.73/2.67 |
% 13.73/2.67 | ALPHA: (function-axioms) implies:
% 13.73/2.67 | (10) ! [v0: int] : ! [v1: int] : ! [v2: collection] : (v1 = v0 | ~
% 13.73/2.67 | (count(v2) = v1) | ~ (count(v2) = v0))
% 13.73/2.67 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.73/2.67 | collection] : ! [v3: int] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~
% 13.73/2.67 | (in(v3, v2) = v0))
% 13.73/2.67 |
% 13.73/2.67 | DELTA: instantiating (co1) with fresh symbols all_13_0, all_13_1, all_13_2,
% 13.73/2.67 | all_13_3, all_13_4, all_13_5, all_13_6 gives:
% 13.73/2.67 | (12) ~ (all_13_0 = all_13_2) & remove(all_13_5, all_13_4) = all_13_3 &
% 13.73/2.67 | remove(all_13_5, all_13_6) = all_13_1 & add(all_13_5, all_13_6) =
% 13.73/2.67 | all_13_4 & count(all_13_1) = all_13_0 & count(all_13_3) = all_13_2 &
% 13.73/2.67 | collection(all_13_1) & collection(all_13_3) & collection(all_13_4) &
% 13.73/2.67 | collection(all_13_6)
% 13.73/2.67 |
% 13.73/2.67 | ALPHA: (12) implies:
% 13.73/2.67 | (13) ~ (all_13_0 = all_13_2)
% 13.73/2.67 | (14) collection(all_13_6)
% 13.73/2.67 | (15) collection(all_13_4)
% 13.73/2.67 | (16) count(all_13_3) = all_13_2
% 13.73/2.67 | (17) count(all_13_1) = all_13_0
% 13.73/2.67 | (18) add(all_13_5, all_13_6) = all_13_4
% 13.73/2.68 | (19) remove(all_13_5, all_13_6) = all_13_1
% 13.73/2.68 | (20) remove(all_13_5, all_13_4) = all_13_3
% 13.73/2.68 |
% 13.73/2.68 | GROUND_INST: instantiating (5) with all_13_5, all_13_6, all_13_4, simplifying
% 13.73/2.68 | with (14), (18) gives:
% 13.73/2.68 | (21) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_4) = v1 &
% 13.73/2.68 | count(all_13_6) = v2 & in(all_13_5, all_13_6) = v0 & ( ~ (v0 = 0) |
% 13.73/2.68 | v2 = v1))
% 13.73/2.68 |
% 13.73/2.68 | GROUND_INST: instantiating (3) with all_13_5, all_13_6, all_13_4, simplifying
% 13.73/2.68 | with (14), (18) gives:
% 13.73/2.68 | (22) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_4) = v1 &
% 13.73/2.68 | count(all_13_6) = v2 & in(all_13_5, all_13_6) = v0 &
% 13.73/2.68 | ($difference(v2, v1) = -1 | v0 = 0))
% 13.73/2.68 |
% 13.73/2.68 | GROUND_INST: instantiating (2) with all_13_5, all_13_6, all_13_4, simplifying
% 13.73/2.68 | with (14), (18) gives:
% 13.82/2.68 | (23) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_4) = v0 &
% 13.82/2.68 | count(all_13_6) = v1 & in(all_13_5, all_13_6) = v2 & ( ~ (v2 = 0) |
% 13.82/2.68 | ~ ($difference(v1, v0) = -1)))
% 13.82/2.68 |
% 13.82/2.68 | GROUND_INST: instantiating (4) with all_13_5, all_13_6, all_13_4, simplifying
% 13.82/2.68 | with (14), (18) gives:
% 13.82/2.69 | (24) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_4) = v0 &
% 13.82/2.69 | count(all_13_6) = v1 & in(all_13_5, all_13_6) = v2 & ( ~ (v1 = v0) |
% 13.82/2.69 | v2 = 0))
% 13.82/2.69 |
% 13.82/2.69 | GROUND_INST: instantiating (7) with all_13_5, all_13_6, all_13_1, simplifying
% 13.82/2.69 | with (14), (19) gives:
% 13.82/2.69 | (25) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_1) = v1 &
% 13.82/2.69 | count(all_13_6) = v2 & in(all_13_5, all_13_6) = v0 & ( ~ (v0 = 0) |
% 13.82/2.69 | $difference(v2, v1) = 1))
% 13.82/2.69 |
% 13.82/2.69 | GROUND_INST: instantiating (9) with all_13_5, all_13_6, all_13_1, simplifying
% 13.82/2.69 | with (14), (19) gives:
% 13.82/2.69 | (26) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_1) = v1 &
% 13.82/2.69 | count(all_13_6) = v2 & in(all_13_5, all_13_6) = v0 & (v2 = v1 | v0 =
% 13.82/2.69 | 0))
% 13.82/2.69 |
% 13.82/2.69 | GROUND_INST: instantiating (8) with all_13_5, all_13_6, all_13_1, simplifying
% 13.82/2.69 | with (14), (19) gives:
% 13.82/2.69 | (27) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_1) = v0 &
% 13.82/2.69 | count(all_13_6) = v1 & in(all_13_5, all_13_6) = v2 & ( ~ (v2 = 0) |
% 13.82/2.69 | ~ (v1 = v0)))
% 13.82/2.69 |
% 13.82/2.69 | GROUND_INST: instantiating (6) with all_13_5, all_13_6, all_13_1, simplifying
% 13.82/2.69 | with (14), (19) gives:
% 13.82/2.69 | (28) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_1) = v0 &
% 13.82/2.69 | count(all_13_6) = v1 & in(all_13_5, all_13_6) = v2 & ( ~
% 13.82/2.69 | ($difference(v1, v0) = 1) | v2 = 0))
% 13.82/2.69 |
% 13.82/2.69 | GROUND_INST: instantiating (7) with all_13_5, all_13_4, all_13_3, simplifying
% 13.82/2.69 | with (15), (20) gives:
% 13.82/2.70 | (29) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_3) = v1 &
% 13.82/2.70 | count(all_13_4) = v2 & in(all_13_5, all_13_4) = v0 & ( ~ (v0 = 0) |
% 13.82/2.70 | $difference(v2, v1) = 1))
% 13.82/2.70 |
% 13.82/2.70 | GROUND_INST: instantiating (9) with all_13_5, all_13_4, all_13_3, simplifying
% 13.82/2.70 | with (15), (20) gives:
% 13.82/2.70 | (30) ? [v0: any] : ? [v1: int] : ? [v2: int] : (count(all_13_3) = v1 &
% 13.82/2.70 | count(all_13_4) = v2 & in(all_13_5, all_13_4) = v0 & (v2 = v1 | v0 =
% 13.82/2.70 | 0))
% 13.82/2.70 |
% 13.82/2.70 | GROUND_INST: instantiating (8) with all_13_5, all_13_4, all_13_3, simplifying
% 13.82/2.70 | with (15), (20) gives:
% 13.82/2.70 | (31) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_3) = v0 &
% 13.82/2.70 | count(all_13_4) = v1 & in(all_13_5, all_13_4) = v2 & ( ~ (v2 = 0) |
% 13.82/2.70 | ~ (v1 = v0)))
% 13.82/2.70 |
% 13.82/2.70 | GROUND_INST: instantiating (6) with all_13_5, all_13_4, all_13_3, simplifying
% 13.82/2.70 | with (15), (20) gives:
% 13.82/2.70 | (32) ? [v0: int] : ? [v1: int] : ? [v2: any] : (count(all_13_3) = v0 &
% 13.82/2.70 | count(all_13_4) = v1 & in(all_13_5, all_13_4) = v2 & ( ~
% 13.82/2.70 | ($difference(v1, v0) = 1) | v2 = 0))
% 13.82/2.70 |
% 13.82/2.70 | DELTA: instantiating (32) with fresh symbols all_22_0, all_22_1, all_22_2
% 13.82/2.70 | gives:
% 13.82/2.70 | (33) count(all_13_3) = all_22_2 & count(all_13_4) = all_22_1 & in(all_13_5,
% 13.82/2.70 | all_13_4) = all_22_0 & ( ~ ($difference(all_22_1, all_22_2) = 1) |
% 13.82/2.70 | all_22_0 = 0)
% 13.82/2.70 |
% 13.82/2.70 | ALPHA: (33) implies:
% 13.82/2.70 | (34) in(all_13_5, all_13_4) = all_22_0
% 13.82/2.71 | (35) count(all_13_4) = all_22_1
% 13.82/2.71 | (36) count(all_13_3) = all_22_2
% 13.82/2.71 |
% 13.82/2.71 | DELTA: instantiating (30) with fresh symbols all_24_0, all_24_1, all_24_2
% 13.82/2.71 | gives:
% 13.82/2.71 | (37) count(all_13_3) = all_24_1 & count(all_13_4) = all_24_0 & in(all_13_5,
% 13.82/2.71 | all_13_4) = all_24_2 & (all_24_0 = all_24_1 | all_24_2 = 0)
% 13.82/2.71 |
% 13.82/2.71 | ALPHA: (37) implies:
% 13.82/2.71 | (38) in(all_13_5, all_13_4) = all_24_2
% 13.82/2.71 | (39) count(all_13_4) = all_24_0
% 13.82/2.71 | (40) count(all_13_3) = all_24_1
% 13.82/2.71 |
% 13.82/2.71 | DELTA: instantiating (29) with fresh symbols all_26_0, all_26_1, all_26_2
% 13.82/2.71 | gives:
% 13.82/2.71 | (41) count(all_13_3) = all_26_1 & count(all_13_4) = all_26_0 & in(all_13_5,
% 13.82/2.71 | all_13_4) = all_26_2 & ( ~ (all_26_2 = 0) | $difference(all_26_0,
% 13.82/2.71 | all_26_1) = 1)
% 13.82/2.71 |
% 13.82/2.71 | ALPHA: (41) implies:
% 13.82/2.71 | (42) in(all_13_5, all_13_4) = all_26_2
% 13.82/2.71 | (43) count(all_13_4) = all_26_0
% 13.82/2.71 | (44) count(all_13_3) = all_26_1
% 13.82/2.71 | (45) ~ (all_26_2 = 0) | $difference(all_26_0, all_26_1) = 1
% 13.82/2.71 |
% 13.82/2.71 | DELTA: instantiating (28) with fresh symbols all_28_0, all_28_1, all_28_2
% 13.82/2.71 | gives:
% 13.82/2.71 | (46) count(all_13_1) = all_28_2 & count(all_13_6) = all_28_1 & in(all_13_5,
% 13.82/2.71 | all_13_6) = all_28_0 & ( ~ ($difference(all_28_1, all_28_2) = 1) |
% 13.82/2.71 | all_28_0 = 0)
% 13.82/2.71 |
% 13.82/2.71 | ALPHA: (46) implies:
% 13.82/2.71 | (47) in(all_13_5, all_13_6) = all_28_0
% 13.82/2.71 | (48) count(all_13_6) = all_28_1
% 13.82/2.71 | (49) count(all_13_1) = all_28_2
% 13.82/2.71 | (50) ~ ($difference(all_28_1, all_28_2) = 1) | all_28_0 = 0
% 13.82/2.71 |
% 13.82/2.71 | DELTA: instantiating (31) with fresh symbols all_30_0, all_30_1, all_30_2
% 13.82/2.71 | gives:
% 13.99/2.72 | (51) count(all_13_3) = all_30_2 & count(all_13_4) = all_30_1 & in(all_13_5,
% 13.99/2.72 | all_13_4) = all_30_0 & ( ~ (all_30_0 = 0) | ~ (all_30_1 =
% 13.99/2.72 | all_30_2))
% 13.99/2.72 |
% 13.99/2.72 | ALPHA: (51) implies:
% 13.99/2.72 | (52) in(all_13_5, all_13_4) = all_30_0
% 13.99/2.72 | (53) count(all_13_4) = all_30_1
% 13.99/2.72 | (54) count(all_13_3) = all_30_2
% 13.99/2.72 |
% 13.99/2.72 | DELTA: instantiating (22) with fresh symbols all_32_0, all_32_1, all_32_2
% 13.99/2.72 | gives:
% 13.99/2.72 | (55) count(all_13_4) = all_32_1 & count(all_13_6) = all_32_0 & in(all_13_5,
% 13.99/2.72 | all_13_6) = all_32_2 & ($difference(all_32_0, all_32_1) = -1 |
% 13.99/2.72 | all_32_2 = 0)
% 13.99/2.72 |
% 13.99/2.72 | ALPHA: (55) implies:
% 13.99/2.72 | (56) in(all_13_5, all_13_6) = all_32_2
% 13.99/2.72 | (57) count(all_13_6) = all_32_0
% 13.99/2.72 | (58) count(all_13_4) = all_32_1
% 13.99/2.72 | (59) $difference(all_32_0, all_32_1) = -1 | all_32_2 = 0
% 13.99/2.72 |
% 13.99/2.72 | DELTA: instantiating (21) with fresh symbols all_34_0, all_34_1, all_34_2
% 13.99/2.72 | gives:
% 13.99/2.72 | (60) count(all_13_4) = all_34_1 & count(all_13_6) = all_34_0 & in(all_13_5,
% 13.99/2.72 | all_13_6) = all_34_2 & ( ~ (all_34_2 = 0) | all_34_0 = all_34_1)
% 13.99/2.72 |
% 13.99/2.72 | ALPHA: (60) implies:
% 13.99/2.72 | (61) in(all_13_5, all_13_6) = all_34_2
% 13.99/2.72 | (62) count(all_13_6) = all_34_0
% 13.99/2.72 | (63) count(all_13_4) = all_34_1
% 13.99/2.72 | (64) ~ (all_34_2 = 0) | all_34_0 = all_34_1
% 13.99/2.72 |
% 13.99/2.72 | DELTA: instantiating (26) with fresh symbols all_36_0, all_36_1, all_36_2
% 13.99/2.72 | gives:
% 13.99/2.73 | (65) count(all_13_1) = all_36_1 & count(all_13_6) = all_36_0 & in(all_13_5,
% 13.99/2.73 | all_13_6) = all_36_2 & (all_36_0 = all_36_1 | all_36_2 = 0)
% 13.99/2.73 |
% 13.99/2.73 | ALPHA: (65) implies:
% 13.99/2.73 | (66) in(all_13_5, all_13_6) = all_36_2
% 13.99/2.73 | (67) count(all_13_6) = all_36_0
% 13.99/2.73 | (68) count(all_13_1) = all_36_1
% 13.99/2.73 | (69) all_36_0 = all_36_1 | all_36_2 = 0
% 13.99/2.73 |
% 14.05/2.73 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 14.05/2.73 | gives:
% 14.05/2.73 | (70) count(all_13_1) = all_38_1 & count(all_13_6) = all_38_0 & in(all_13_5,
% 14.05/2.73 | all_13_6) = all_38_2 & ( ~ (all_38_2 = 0) | $difference(all_38_0,
% 14.05/2.73 | all_38_1) = 1)
% 14.05/2.73 |
% 14.05/2.73 | ALPHA: (70) implies:
% 14.05/2.73 | (71) in(all_13_5, all_13_6) = all_38_2
% 14.05/2.73 | (72) count(all_13_6) = all_38_0
% 14.05/2.73 | (73) count(all_13_1) = all_38_1
% 14.05/2.73 | (74) ~ (all_38_2 = 0) | $difference(all_38_0, all_38_1) = 1
% 14.05/2.73 |
% 14.05/2.73 | DELTA: instantiating (27) with fresh symbols all_40_0, all_40_1, all_40_2
% 14.05/2.73 | gives:
% 14.05/2.73 | (75) count(all_13_1) = all_40_2 & count(all_13_6) = all_40_1 & in(all_13_5,
% 14.05/2.73 | all_13_6) = all_40_0 & ( ~ (all_40_0 = 0) | ~ (all_40_1 =
% 14.05/2.73 | all_40_2))
% 14.05/2.73 |
% 14.05/2.73 | ALPHA: (75) implies:
% 14.05/2.73 | (76) in(all_13_5, all_13_6) = all_40_0
% 14.05/2.74 | (77) count(all_13_6) = all_40_1
% 14.05/2.74 | (78) count(all_13_1) = all_40_2
% 14.05/2.74 |
% 14.05/2.74 | DELTA: instantiating (24) with fresh symbols all_42_0, all_42_1, all_42_2
% 14.05/2.74 | gives:
% 14.05/2.74 | (79) count(all_13_4) = all_42_2 & count(all_13_6) = all_42_1 & in(all_13_5,
% 14.05/2.74 | all_13_6) = all_42_0 & ( ~ (all_42_1 = all_42_2) | all_42_0 = 0)
% 14.05/2.74 |
% 14.05/2.74 | ALPHA: (79) implies:
% 14.05/2.74 | (80) in(all_13_5, all_13_6) = all_42_0
% 14.05/2.74 | (81) count(all_13_6) = all_42_1
% 14.05/2.74 | (82) count(all_13_4) = all_42_2
% 14.05/2.74 |
% 14.05/2.74 | DELTA: instantiating (23) with fresh symbols all_44_0, all_44_1, all_44_2
% 14.05/2.74 | gives:
% 14.05/2.74 | (83) count(all_13_4) = all_44_2 & count(all_13_6) = all_44_1 & in(all_13_5,
% 14.05/2.74 | all_13_6) = all_44_0 & ( ~ (all_44_0 = 0) | ~
% 14.05/2.74 | ($difference(all_44_1, all_44_2) = -1))
% 14.05/2.74 |
% 14.05/2.74 | ALPHA: (83) implies:
% 14.05/2.74 | (84) in(all_13_5, all_13_6) = all_44_0
% 14.05/2.74 | (85) count(all_13_6) = all_44_1
% 14.05/2.74 | (86) count(all_13_4) = all_44_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_32_2, all_34_2, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (56), (61) gives:
% 14.05/2.74 | (87) all_34_2 = all_32_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_34_2, all_36_2, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (61), (66) gives:
% 14.05/2.74 | (88) all_36_2 = all_34_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_36_2, all_38_2, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (66), (71) gives:
% 14.05/2.74 | (89) all_38_2 = all_36_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_40_0, all_42_0, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (76), (80) gives:
% 14.05/2.74 | (90) all_42_0 = all_40_0
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_38_2, all_42_0, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (71), (80) gives:
% 14.05/2.74 | (91) all_42_0 = all_38_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_42_0, all_44_0, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (80), (84) gives:
% 14.05/2.74 | (92) all_44_0 = all_42_0
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_28_0, all_44_0, all_13_6, all_13_5,
% 14.05/2.74 | simplifying with (47), (84) gives:
% 14.05/2.74 | (93) all_44_0 = all_28_0
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_26_2, all_30_0, all_13_4, all_13_5,
% 14.05/2.74 | simplifying with (42), (52) gives:
% 14.05/2.74 | (94) all_30_0 = all_26_2
% 14.05/2.74 |
% 14.05/2.74 | GROUND_INST: instantiating (11) with all_24_2, all_30_0, all_13_4, all_13_5,
% 14.05/2.75 | simplifying with (38), (52) gives:
% 14.05/2.75 | (95) all_30_0 = all_24_2
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (11) with all_22_0, all_30_0, all_13_4, all_13_5,
% 14.05/2.75 | simplifying with (34), (52) gives:
% 14.05/2.75 | (96) all_30_0 = all_22_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_34_0, all_36_0, all_13_6, simplifying
% 14.05/2.75 | with (62), (67) gives:
% 14.05/2.75 | (97) all_36_0 = all_34_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_36_0, all_38_0, all_13_6, simplifying
% 14.05/2.75 | with (67), (72) gives:
% 14.05/2.75 | (98) all_38_0 = all_36_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_38_0, all_42_1, all_13_6, simplifying
% 14.05/2.75 | with (72), (81) gives:
% 14.05/2.75 | (99) all_42_1 = all_38_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_28_1, all_42_1, all_13_6, simplifying
% 14.05/2.75 | with (48), (81) gives:
% 14.05/2.75 | (100) all_42_1 = all_28_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_40_1, all_44_1, all_13_6, simplifying
% 14.05/2.75 | with (77), (85) gives:
% 14.05/2.75 | (101) all_44_1 = all_40_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_36_0, all_44_1, all_13_6, simplifying
% 14.05/2.75 | with (67), (85) gives:
% 14.05/2.75 | (102) all_44_1 = all_36_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_32_0, all_44_1, all_13_6, simplifying
% 14.05/2.75 | with (57), (85) gives:
% 14.05/2.75 | (103) all_44_1 = all_32_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_34_1, all_42_2, all_13_4, simplifying
% 14.05/2.75 | with (63), (82) gives:
% 14.05/2.75 | (104) all_42_2 = all_34_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_26_0, all_42_2, all_13_4, simplifying
% 14.05/2.75 | with (43), (82) gives:
% 14.05/2.75 | (105) all_42_2 = all_26_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_34_1, all_44_2, all_13_4, simplifying
% 14.05/2.75 | with (63), (86) gives:
% 14.05/2.75 | (106) all_44_2 = all_34_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_32_1, all_44_2, all_13_4, simplifying
% 14.05/2.75 | with (58), (86) gives:
% 14.05/2.75 | (107) all_44_2 = all_32_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_30_1, all_44_2, all_13_4, simplifying
% 14.05/2.75 | with (53), (86) gives:
% 14.05/2.75 | (108) all_44_2 = all_30_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_24_0, all_44_2, all_13_4, simplifying
% 14.05/2.75 | with (39), (86) gives:
% 14.05/2.75 | (109) all_44_2 = all_24_0
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_22_1, all_44_2, all_13_4, simplifying
% 14.05/2.75 | with (35), (86) gives:
% 14.05/2.75 | (110) all_44_2 = all_22_1
% 14.05/2.75 |
% 14.05/2.75 | GROUND_INST: instantiating (10) with all_13_2, all_24_1, all_13_3, simplifying
% 14.05/2.75 | with (16), (40) gives:
% 14.05/2.75 | (111) all_24_1 = all_13_2
% 14.05/2.75 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_24_1, all_26_1, all_13_3, simplifying
% 14.05/2.76 | with (40), (44) gives:
% 14.05/2.76 | (112) all_26_1 = all_24_1
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_26_1, all_30_2, all_13_3, simplifying
% 14.05/2.76 | with (44), (54) gives:
% 14.05/2.76 | (113) all_30_2 = all_26_1
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_22_2, all_30_2, all_13_3, simplifying
% 14.05/2.76 | with (36), (54) gives:
% 14.05/2.76 | (114) all_30_2 = all_22_2
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_28_2, all_36_1, all_13_1, simplifying
% 14.05/2.76 | with (49), (68) gives:
% 14.05/2.76 | (115) all_36_1 = all_28_2
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_38_1, all_40_2, all_13_1, simplifying
% 14.05/2.76 | with (73), (78) gives:
% 14.05/2.76 | (116) all_40_2 = all_38_1
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_36_1, all_40_2, all_13_1, simplifying
% 14.05/2.76 | with (68), (78) gives:
% 14.05/2.76 | (117) all_40_2 = all_36_1
% 14.05/2.76 |
% 14.05/2.76 | GROUND_INST: instantiating (10) with all_13_0, all_40_2, all_13_1, simplifying
% 14.05/2.76 | with (17), (78) gives:
% 14.05/2.76 | (118) all_40_2 = all_13_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (92), (93) imply:
% 14.05/2.76 | (119) all_42_0 = all_28_0
% 14.05/2.76 |
% 14.05/2.76 | SIMP: (119) implies:
% 14.05/2.76 | (120) all_42_0 = all_28_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (101), (102) imply:
% 14.05/2.76 | (121) all_40_1 = all_36_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (101), (103) imply:
% 14.05/2.76 | (122) all_40_1 = all_32_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (107), (110) imply:
% 14.05/2.76 | (123) all_32_1 = all_22_1
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (107), (109) imply:
% 14.05/2.76 | (124) all_32_1 = all_24_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (107), (108) imply:
% 14.05/2.76 | (125) all_32_1 = all_30_1
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (106), (107) imply:
% 14.05/2.76 | (126) all_34_1 = all_32_1
% 14.05/2.76 |
% 14.05/2.76 | SIMP: (126) implies:
% 14.05/2.76 | (127) all_34_1 = all_32_1
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (90), (91) imply:
% 14.05/2.76 | (128) all_40_0 = all_38_2
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (90), (120) imply:
% 14.05/2.76 | (129) all_40_0 = all_28_0
% 14.05/2.76 |
% 14.05/2.76 | COMBINE_EQS: (99), (100) imply:
% 14.05/2.76 | (130) all_38_0 = all_28_1
% 14.05/2.76 |
% 14.05/2.77 | SIMP: (130) implies:
% 14.05/2.77 | (131) all_38_0 = all_28_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (104), (105) imply:
% 14.05/2.77 | (132) all_34_1 = all_26_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (132) implies:
% 14.05/2.77 | (133) all_34_1 = all_26_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (128), (129) imply:
% 14.05/2.77 | (134) all_38_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (134) implies:
% 14.05/2.77 | (135) all_38_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (121), (122) imply:
% 14.05/2.77 | (136) all_36_0 = all_32_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (136) implies:
% 14.05/2.77 | (137) all_36_0 = all_32_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (116), (118) imply:
% 14.05/2.77 | (138) all_38_1 = all_13_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (116), (117) imply:
% 14.05/2.77 | (139) all_38_1 = all_36_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (98), (131) imply:
% 14.05/2.77 | (140) all_36_0 = all_28_1
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (140) implies:
% 14.05/2.77 | (141) all_36_0 = all_28_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (138), (139) imply:
% 14.05/2.77 | (142) all_36_1 = all_13_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (142) implies:
% 14.05/2.77 | (143) all_36_1 = all_13_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (89), (135) imply:
% 14.05/2.77 | (144) all_36_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (144) implies:
% 14.05/2.77 | (145) all_36_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (97), (137) imply:
% 14.05/2.77 | (146) all_34_0 = all_32_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (97), (141) imply:
% 14.05/2.77 | (147) all_34_0 = all_28_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (115), (143) imply:
% 14.05/2.77 | (148) all_28_2 = all_13_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (148) implies:
% 14.05/2.77 | (149) all_28_2 = all_13_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (88), (145) imply:
% 14.05/2.77 | (150) all_34_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (150) implies:
% 14.05/2.77 | (151) all_34_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (146), (147) imply:
% 14.05/2.77 | (152) all_32_0 = all_28_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (127), (133) imply:
% 14.05/2.77 | (153) all_32_1 = all_26_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (153) implies:
% 14.05/2.77 | (154) all_32_1 = all_26_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (87), (151) imply:
% 14.05/2.77 | (155) all_32_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | SIMP: (155) implies:
% 14.05/2.77 | (156) all_32_2 = all_28_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (124), (125) imply:
% 14.05/2.77 | (157) all_30_1 = all_24_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (123), (125) imply:
% 14.05/2.77 | (158) all_30_1 = all_22_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (125), (154) imply:
% 14.05/2.77 | (159) all_30_1 = all_26_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (94), (95) imply:
% 14.05/2.77 | (160) all_26_2 = all_24_2
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (94), (96) imply:
% 14.05/2.77 | (161) all_26_2 = all_22_0
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (158), (159) imply:
% 14.05/2.77 | (162) all_26_0 = all_22_1
% 14.05/2.77 |
% 14.05/2.77 | COMBINE_EQS: (157), (159) imply:
% 14.05/2.78 | (163) all_26_0 = all_24_0
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (113), (114) imply:
% 14.05/2.78 | (164) all_26_1 = all_22_2
% 14.05/2.78 |
% 14.05/2.78 | SIMP: (164) implies:
% 14.05/2.78 | (165) all_26_1 = all_22_2
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (162), (163) imply:
% 14.05/2.78 | (166) all_24_0 = all_22_1
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (112), (165) imply:
% 14.05/2.78 | (167) all_24_1 = all_22_2
% 14.05/2.78 |
% 14.05/2.78 | SIMP: (167) implies:
% 14.05/2.78 | (168) all_24_1 = all_22_2
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (160), (161) imply:
% 14.05/2.78 | (169) all_24_2 = all_22_0
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (111), (168) imply:
% 14.05/2.78 | (170) all_22_2 = all_13_2
% 14.05/2.78 |
% 14.05/2.78 | SIMP: (170) implies:
% 14.05/2.78 | (171) all_22_2 = all_13_2
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (165), (171) imply:
% 14.05/2.78 | (172) all_26_1 = all_13_2
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (133), (162) imply:
% 14.05/2.78 | (173) all_34_1 = all_22_1
% 14.05/2.78 |
% 14.05/2.78 | GROUND_INST: instantiating (1) with all_13_5, all_13_6, all_13_4, all_22_0,
% 14.05/2.78 | simplifying with (14), (18), (34) gives:
% 14.05/2.78 | (174) all_22_0 = 0
% 14.05/2.78 |
% 14.05/2.78 | COMBINE_EQS: (161), (174) imply:
% 14.05/2.78 | (175) all_26_2 = 0
% 14.05/2.78 |
% 14.05/2.78 | BETA: splitting (45) gives:
% 14.05/2.78 |
% 14.05/2.78 | Case 1:
% 14.05/2.78 | |
% 14.05/2.78 | | (176) ~ (all_26_2 = 0)
% 14.05/2.78 | |
% 14.05/2.78 | | REDUCE: (175), (176) imply:
% 14.05/2.78 | | (177) $false
% 14.05/2.78 | |
% 14.05/2.78 | | CLOSE: (177) is inconsistent.
% 14.05/2.78 | |
% 14.05/2.78 | Case 2:
% 14.05/2.78 | |
% 14.05/2.78 | | (178) $difference(all_26_0, all_26_1) = 1
% 14.05/2.78 | |
% 14.05/2.78 | | COMBINE_EQS: (162), (178) imply:
% 14.05/2.78 | | (179) $difference(all_26_1, all_22_1) = -1
% 14.05/2.78 | |
% 14.05/2.78 | | COMBINE_EQS: (172), (179) imply:
% 14.05/2.78 | | (180) $difference(all_22_1, all_13_2) = 1
% 14.05/2.78 | |
% 14.05/2.78 | | SIMP: (180) implies:
% 14.05/2.78 | | (181) $difference(all_22_1, all_13_2) = 1
% 14.05/2.78 | |
% 14.05/2.78 | | COMBINE_EQS: (123), (181) imply:
% 14.05/2.78 | | (182) $difference(all_32_1, all_13_2) = 1
% 14.05/2.78 | |
% 14.05/2.78 | | COMBINE_EQS: (173), (181) imply:
% 14.05/2.78 | | (183) $difference(all_34_1, all_13_2) = 1
% 14.05/2.78 | |
% 14.05/2.78 | | BETA: splitting (50) gives:
% 14.05/2.78 | |
% 14.05/2.78 | | Case 1:
% 14.05/2.78 | | |
% 14.05/2.78 | | | (184) ~ ($difference(all_28_1, all_28_2) = 1)
% 14.05/2.78 | | |
% 14.05/2.78 | | | REDUCE: (149), (184) imply:
% 14.05/2.79 | | | (185) ~ ($difference(all_28_1, all_13_0) = 1)
% 14.05/2.79 | | |
% 14.05/2.79 | | | BETA: splitting (74) gives:
% 14.05/2.79 | | |
% 14.05/2.79 | | | Case 1:
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | (186) ~ (all_38_2 = 0)
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | REDUCE: (135), (186) imply:
% 14.05/2.79 | | | | (187) ~ (all_28_0 = 0)
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | BETA: splitting (69) gives:
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | Case 1:
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | (188) all_36_2 = 0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | COMBINE_EQS: (145), (188) imply:
% 14.05/2.79 | | | | | (189) all_28_0 = 0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | SIMP: (189) implies:
% 14.05/2.79 | | | | | (190) all_28_0 = 0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | REDUCE: (187), (190) imply:
% 14.05/2.79 | | | | | (191) $false
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | CLOSE: (191) is inconsistent.
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | Case 2:
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | (192) all_36_0 = all_36_1
% 14.05/2.79 | | | | | (193) ~ (all_36_2 = 0)
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | COMBINE_EQS: (141), (192) imply:
% 14.05/2.79 | | | | | (194) all_36_1 = all_28_1
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | COMBINE_EQS: (143), (194) imply:
% 14.05/2.79 | | | | | (195) all_28_1 = all_13_0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | SIMP: (195) implies:
% 14.05/2.79 | | | | | (196) all_28_1 = all_13_0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | COMBINE_EQS: (152), (196) imply:
% 14.05/2.79 | | | | | (197) all_32_0 = all_13_0
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | BETA: splitting (59) gives:
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | | Case 1:
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | (198) all_32_2 = 0
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | COMBINE_EQS: (156), (198) imply:
% 14.05/2.79 | | | | | | (199) all_28_0 = 0
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | REDUCE: (187), (199) imply:
% 14.05/2.79 | | | | | | (200) $false
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | CLOSE: (200) is inconsistent.
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | Case 2:
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | (201) $difference(all_32_0, all_32_1) = -1
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | COMBINE_EQS: (197), (201) imply:
% 14.05/2.79 | | | | | | (202) $difference(all_32_1, all_13_0) = 1
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | COMBINE_EQS: (182), (202) imply:
% 14.05/2.79 | | | | | | (203) all_13_0 = all_13_2
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | SIMP: (203) implies:
% 14.05/2.79 | | | | | | (204) all_13_0 = all_13_2
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | REDUCE: (13), (204) imply:
% 14.05/2.79 | | | | | | (205) $false
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | | CLOSE: (205) is inconsistent.
% 14.05/2.79 | | | | | |
% 14.05/2.79 | | | | | End of split
% 14.05/2.79 | | | | |
% 14.05/2.79 | | | | End of split
% 14.05/2.79 | | | |
% 14.05/2.79 | | | Case 2:
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | (206) $difference(all_38_0, all_38_1) = 1
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | COMBINE_EQS: (131), (206) imply:
% 14.05/2.79 | | | | (207) $difference(all_38_1, all_28_1) = -1
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | SIMP: (207) implies:
% 14.05/2.79 | | | | (208) $difference(all_38_1, all_28_1) = -1
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | COMBINE_EQS: (138), (208) imply:
% 14.05/2.79 | | | | (209) $difference(all_28_1, all_13_0) = 1
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | SIMP: (209) implies:
% 14.05/2.79 | | | | (210) $difference(all_28_1, all_13_0) = 1
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | REDUCE: (185), (210) imply:
% 14.05/2.79 | | | | (211) $false
% 14.05/2.79 | | | |
% 14.05/2.79 | | | | CLOSE: (211) is inconsistent.
% 14.05/2.79 | | | |
% 14.05/2.79 | | | End of split
% 14.05/2.79 | | |
% 14.05/2.79 | | Case 2:
% 14.05/2.79 | | |
% 14.05/2.79 | | | (212) $difference(all_28_1, all_28_2) = 1
% 14.05/2.79 | | | (213) all_28_0 = 0
% 14.05/2.79 | | |
% 14.05/2.79 | | | COMBINE_EQS: (149), (212) imply:
% 14.05/2.80 | | | (214) $difference(all_28_1, all_13_0) = 1
% 14.05/2.80 | | |
% 14.05/2.80 | | | COMBINE_EQS: (151), (213) imply:
% 14.05/2.80 | | | (215) all_34_2 = 0
% 14.05/2.80 | | |
% 14.05/2.80 | | | COMBINE_EQS: (147), (214) imply:
% 14.05/2.80 | | | (216) $difference(all_34_0, all_13_0) = 1
% 14.05/2.80 | | |
% 14.05/2.80 | | | BETA: splitting (64) gives:
% 14.05/2.80 | | |
% 14.05/2.80 | | | Case 1:
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | (217) ~ (all_34_2 = 0)
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | REDUCE: (215), (217) imply:
% 14.05/2.80 | | | | (218) $false
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | CLOSE: (218) is inconsistent.
% 14.05/2.80 | | | |
% 14.05/2.80 | | | Case 2:
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | (219) all_34_0 = all_34_1
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | COMBINE_EQS: (216), (219) imply:
% 14.05/2.80 | | | | (220) $difference(all_34_1, all_13_0) = 1
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | COMBINE_EQS: (183), (220) imply:
% 14.05/2.80 | | | | (221) all_13_0 = all_13_2
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | SIMP: (221) implies:
% 14.05/2.80 | | | | (222) all_13_0 = all_13_2
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | REDUCE: (13), (222) imply:
% 14.05/2.80 | | | | (223) $false
% 14.05/2.80 | | | |
% 14.05/2.80 | | | | CLOSE: (223) is inconsistent.
% 14.05/2.80 | | | |
% 14.05/2.80 | | | End of split
% 14.05/2.80 | | |
% 14.05/2.80 | | End of split
% 14.05/2.80 | |
% 14.05/2.80 | End of split
% 14.05/2.80 |
% 14.05/2.80 End of proof
% 14.05/2.80 % SZS output end Proof for theBenchmark
% 14.05/2.80
% 14.05/2.80 2290ms
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