TSTP Solution File: SEU253+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Thu Aug 31 17:43:40 EDT 2023
% Result : Theorem 19.49s 3.46s
% Output : Proof 27.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:44:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.36/1.08 Prover 1: Preprocessing ...
% 2.36/1.08 Prover 4: Preprocessing ...
% 2.86/1.12 Prover 3: Preprocessing ...
% 2.86/1.12 Prover 6: Preprocessing ...
% 2.86/1.12 Prover 5: Preprocessing ...
% 2.86/1.12 Prover 2: Preprocessing ...
% 2.86/1.12 Prover 0: Preprocessing ...
% 6.35/1.64 Prover 1: Warning: ignoring some quantifiers
% 6.35/1.67 Prover 3: Warning: ignoring some quantifiers
% 6.35/1.68 Prover 6: Proving ...
% 6.35/1.68 Prover 5: Proving ...
% 6.35/1.68 Prover 4: Warning: ignoring some quantifiers
% 6.35/1.70 Prover 3: Constructing countermodel ...
% 6.35/1.70 Prover 1: Constructing countermodel ...
% 7.04/1.70 Prover 4: Constructing countermodel ...
% 7.04/1.73 Prover 2: Proving ...
% 7.65/1.80 Prover 0: Proving ...
% 9.14/2.19 Prover 3: gave up
% 9.14/2.20 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.34/2.27 Prover 7: Preprocessing ...
% 10.34/2.30 Prover 1: gave up
% 11.38/2.32 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.38/2.35 Prover 8: Preprocessing ...
% 12.07/2.41 Prover 7: Warning: ignoring some quantifiers
% 12.07/2.42 Prover 7: Constructing countermodel ...
% 12.07/2.47 Prover 8: Warning: ignoring some quantifiers
% 12.07/2.48 Prover 8: Constructing countermodel ...
% 14.93/2.84 Prover 8: gave up
% 14.93/2.85 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 14.93/2.92 Prover 9: Preprocessing ...
% 17.23/3.11 Prover 9: Warning: ignoring some quantifiers
% 17.23/3.12 Prover 9: Constructing countermodel ...
% 19.49/3.46 Prover 9: proved (604ms)
% 19.49/3.46
% 19.49/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.49/3.46
% 19.49/3.46 Prover 6: stopped
% 19.49/3.46 Prover 2: stopped
% 19.49/3.46 Prover 5: stopped
% 19.49/3.46 Prover 0: stopped
% 19.49/3.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.49/3.47 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 19.49/3.47 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 19.49/3.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.49/3.47 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 19.93/3.49 Prover 10: Preprocessing ...
% 19.93/3.50 Prover 11: Preprocessing ...
% 19.93/3.50 Prover 19: Preprocessing ...
% 19.93/3.51 Prover 16: Preprocessing ...
% 19.93/3.52 Prover 13: Preprocessing ...
% 19.93/3.53 Prover 10: Warning: ignoring some quantifiers
% 19.93/3.54 Prover 10: Constructing countermodel ...
% 19.93/3.61 Prover 16: Warning: ignoring some quantifiers
% 19.93/3.61 Prover 10: gave up
% 19.93/3.61 Prover 13: Warning: ignoring some quantifiers
% 19.93/3.61 Prover 19: Warning: ignoring some quantifiers
% 19.93/3.61 Prover 16: Constructing countermodel ...
% 19.93/3.62 Prover 13: Constructing countermodel ...
% 19.93/3.63 Prover 19: Constructing countermodel ...
% 19.93/3.64 Prover 11: Warning: ignoring some quantifiers
% 19.93/3.66 Prover 11: Constructing countermodel ...
% 23.61/3.96 Prover 19: gave up
% 25.42/4.29 Prover 4: Found proof (size 381)
% 25.42/4.29 Prover 4: proved (3634ms)
% 25.42/4.29 Prover 16: stopped
% 25.42/4.29 Prover 13: stopped
% 25.42/4.29 Prover 7: stopped
% 25.42/4.29 Prover 11: stopped
% 25.42/4.29
% 25.42/4.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.42/4.29
% 25.42/4.34 % SZS output start Proof for theBenchmark
% 25.42/4.34 Assumptions after simplification:
% 25.42/4.34 ---------------------------------
% 25.42/4.34
% 25.42/4.34 (cc2_funct_1)
% 25.42/4.37 ! [v0: $i] : ! [v1: any] : ( ~ (one_to_one(v0) = v1) | ~ $i(v0) | ? [v2:
% 25.42/4.37 any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v2 & function(v0) =
% 25.42/4.37 v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0)))
% 25.42/4.37 & ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 25.42/4.37 any] : ? [v3: any] : (one_to_one(v0) = v3 & function(v0) = v2 & empty(v0)
% 25.42/4.37 = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ! [v0: $i] : ( ~
% 25.42/4.37 (function(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: any]
% 25.42/4.37 : (one_to_one(v0) = v3 & relation(v0) = v1 & empty(v0) = v2 & ( ~ (v2 = 0) |
% 25.42/4.37 ~ (v1 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (empty(v0) = 0) | ~ $i(v0)
% 25.42/4.37 | ? [v1: any] : ? [v2: any] : ? [v3: any] : (one_to_one(v0) = v3 &
% 25.42/4.37 relation(v0) = v1 & function(v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 =
% 25.42/4.37 0)))
% 25.42/4.37
% 25.42/4.37 (commutativity_k3_xboole_0)
% 26.28/4.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1, v0) = v2)
% 26.28/4.38 | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) = v2 & $i(v2))) & !
% 26.28/4.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v0, v1) = v2) |
% 26.28/4.38 ~ $i(v1) | ~ $i(v0) | (set_intersection2(v1, v0) = v2 & $i(v2)))
% 26.28/4.38
% 26.28/4.38 (d6_relat_1)
% 26.28/4.38 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ? [v2:
% 26.28/4.38 any] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (relation_field(v0) = v3
% 26.28/4.38 & relation_rng(v0) = v4 & set_union2(v1, v4) = v5 & relation(v0) = v2 &
% 26.28/4.38 $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v3))) & ! [v0: $i] : !
% 26.28/4.38 [v1: $i] : ( ~ (relation_field(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 26.28/4.38 $i] : ? [v4: $i] : ? [v5: $i] : (relation_dom(v0) = v3 &
% 26.28/4.38 relation_rng(v0) = v4 & set_union2(v3, v4) = v5 & relation(v0) = v2 &
% 26.28/4.38 $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v1))) & ! [v0: $i] : !
% 26.28/4.38 [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 26.28/4.38 $i] : ? [v4: $i] : ? [v5: $i] : (relation_dom(v0) = v4 &
% 26.28/4.38 relation_field(v0) = v3 & set_union2(v4, v1) = v5 & relation(v0) = v2 &
% 26.28/4.38 $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v3))) & ! [v0: $i] : ( ~
% 26.28/4.38 (relation(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 26.28/4.38 (relation_dom(v0) = v2 & relation_field(v0) = v1 & relation_rng(v0) = v3 &
% 26.28/4.38 set_union2(v2, v3) = v1 & $i(v3) & $i(v2) & $i(v1)))
% 26.28/4.38
% 26.28/4.38 (d6_wellord1)
% 26.28/4.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v0, v1) =
% 26.28/4.38 v2) | ~ (relation(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 26.28/4.38 (cartesian_product2(v1, v1) = v3 & set_intersection2(v0, v3) = v2 & $i(v3) &
% 26.28/4.38 $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 26.28/4.38 (cartesian_product2(v1, v1) = v2) | ~ (relation(v0) = 0) | ~ $i(v1) | ~
% 26.28/4.38 $i(v0) | ? [v3: $i] : (relation_restriction(v0, v1) = v3 &
% 26.28/4.38 set_intersection2(v0, v2) = v3 & $i(v3)))
% 26.28/4.39
% 26.28/4.39 (dt_k2_wellord1)
% 26.28/4.39 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v0, v1) =
% 26.28/4.39 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (relation(v2)
% 26.28/4.39 = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 26.28/4.39
% 26.28/4.39 (l4_wellord1)
% 26.28/4.40 ! [v0: $i] : ! [v1: any] : ( ~ (connected(v0) = v1) | ~ $i(v0) | ? [v2:
% 26.28/4.40 any] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7:
% 26.28/4.40 int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: int] :
% 26.28/4.40 (relation_field(v0) = v3 & relation(v0) = v2 & $i(v5) & $i(v4) & $i(v3) & (
% 26.28/4.40 ~ (v2 = 0) | (( ~ (v1 = 0) | ( ! [v12: $i] : ! [v13: $i] : ! [v14: $i]
% 26.28/4.40 : (v13 = v12 | ~ (ordered_pair(v13, v12) = v14) | ~ $i(v13) | ~
% 26.28/4.40 $i(v12) | ? [v15: any] : ? [v16: any] : ? [v17: $i] : ?
% 26.28/4.40 [v18: any] : ? [v19: any] : (ordered_pair(v12, v13) = v17 &
% 26.28/4.40 in(v17, v0) = v18 & in(v14, v0) = v19 & in(v13, v3) = v16 &
% 26.28/4.40 in(v12, v3) = v15 & $i(v17) & ( ~ (v16 = 0) | ~ (v15 = 0) |
% 26.28/4.40 v19 = 0 | v18 = 0))) & ! [v12: $i] : ! [v13: $i] : !
% 26.28/4.40 [v14: $i] : (v13 = v12 | ~ (ordered_pair(v12, v13) = v14) | ~
% 26.28/4.40 $i(v13) | ~ $i(v12) | ? [v15: any] : ? [v16: any] : ? [v17:
% 26.28/4.40 any] : ? [v18: $i] : ? [v19: any] : (ordered_pair(v13, v12)
% 26.28/4.40 = v18 & in(v18, v0) = v19 & in(v14, v0) = v17 & in(v13, v3) =
% 26.28/4.40 v16 & in(v12, v3) = v15 & $i(v18) & ( ~ (v16 = 0) | ~ (v15 =
% 26.28/4.40 0) | v19 = 0 | v17 = 0))))) & (v1 = 0 | (v7 = 0 & v6 = 0 &
% 26.28/4.40 ~ (v11 = 0) & ~ (v9 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4) =
% 26.28/4.40 v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) =
% 26.28/4.40 v9 & in(v5, v3) = 0 & in(v4, v3) = 0 & $i(v10) & $i(v8))))))) & !
% 26.28/4.40 [v0: $i] : ! [v1: $i] : ( ~ (relation_field(v0) = v1) | ~ $i(v0) | ? [v2:
% 26.28/4.40 any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7:
% 26.28/4.40 int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: int] :
% 26.28/4.40 (connected(v0) = v3 & relation(v0) = v2 & $i(v5) & $i(v4) & ( ~ (v2 = 0) |
% 26.28/4.40 (( ~ (v3 = 0) | ( ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : (v13 = v12
% 26.28/4.40 | ~ (ordered_pair(v13, v12) = v14) | ~ $i(v13) | ~ $i(v12) |
% 26.28/4.40 ? [v15: any] : ? [v16: any] : ? [v17: $i] : ? [v18: any] : ?
% 26.28/4.40 [v19: any] : (ordered_pair(v12, v13) = v17 & in(v17, v0) = v18 &
% 26.28/4.40 in(v14, v0) = v19 & in(v13, v1) = v16 & in(v12, v1) = v15 &
% 26.28/4.40 $i(v17) & ( ~ (v16 = 0) | ~ (v15 = 0) | v19 = 0 | v18 = 0)))
% 26.28/4.40 & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : (v13 = v12 | ~
% 26.28/4.40 (ordered_pair(v12, v13) = v14) | ~ $i(v13) | ~ $i(v12) | ?
% 26.28/4.40 [v15: any] : ? [v16: any] : ? [v17: any] : ? [v18: $i] : ?
% 26.28/4.40 [v19: any] : (ordered_pair(v13, v12) = v18 & in(v18, v0) = v19 &
% 26.28/4.40 in(v14, v0) = v17 & in(v13, v1) = v16 & in(v12, v1) = v15 &
% 26.28/4.40 $i(v18) & ( ~ (v16 = 0) | ~ (v15 = 0) | v19 = 0 | v17 =
% 26.28/4.40 0))))) & (v3 = 0 | (v7 = 0 & v6 = 0 & ~ (v11 = 0) & ~ (v9
% 26.28/4.40 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4) = v10 &
% 26.28/4.40 ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 &
% 26.28/4.40 in(v5, v1) = 0 & in(v4, v1) = 0 & $i(v10) & $i(v8))))))) & ! [v0:
% 26.28/4.40 $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ?
% 26.28/4.40 [v3: $i] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8:
% 26.28/4.40 int] : ? [v9: $i] : ? [v10: int] : (connected(v0) = v1 &
% 26.28/4.40 relation_field(v0) = v2 & $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ( !
% 26.28/4.40 [v11: $i] : ! [v12: $i] : ! [v13: $i] : (v12 = v11 | ~
% 26.28/4.40 (ordered_pair(v12, v11) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v14:
% 26.28/4.40 any] : ? [v15: any] : ? [v16: $i] : ? [v17: any] : ? [v18:
% 26.28/4.40 any] : (ordered_pair(v11, v12) = v16 & in(v16, v0) = v17 & in(v13,
% 26.28/4.40 v0) = v18 & in(v12, v2) = v15 & in(v11, v2) = v14 & $i(v16) & (
% 26.28/4.40 ~ (v15 = 0) | ~ (v14 = 0) | v18 = 0 | v17 = 0))) & ! [v11: $i]
% 26.28/4.40 : ! [v12: $i] : ! [v13: $i] : (v12 = v11 | ~ (ordered_pair(v11,
% 26.28/4.40 v12) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v14: any] : ? [v15:
% 26.28/4.40 any] : ? [v16: any] : ? [v17: $i] : ? [v18: any] :
% 26.28/4.40 (ordered_pair(v12, v11) = v17 & in(v17, v0) = v18 & in(v13, v0) =
% 26.28/4.40 v16 & in(v12, v2) = v15 & in(v11, v2) = v14 & $i(v17) & ( ~ (v15 =
% 26.28/4.40 0) | ~ (v14 = 0) | v18 = 0 | v16 = 0))))) & (v1 = 0 | (v6 = 0
% 26.28/4.40 & v5 = 0 & ~ (v10 = 0) & ~ (v8 = 0) & ~ (v4 = v3) &
% 26.28/4.40 ordered_pair(v4, v3) = v9 & ordered_pair(v3, v4) = v7 & in(v9, v0) =
% 26.28/4.40 v10 & in(v7, v0) = v8 & in(v4, v2) = 0 & in(v3, v2) = 0 & $i(v9) &
% 26.28/4.40 $i(v7)))))
% 26.28/4.40
% 26.28/4.40 (t106_zfmisc_1)
% 26.28/4.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 26.28/4.40 $i] : ! [v6: int] : (v6 = 0 | ~ (cartesian_product2(v2, v3) = v5) | ~
% 26.28/4.40 (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) |
% 26.28/4.40 ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : (in(v1, v3) = v8 &
% 26.28/4.40 in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0: $i] : ! [v1:
% 26.28/4.40 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 26.28/4.40 (cartesian_product2(v2, v3) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~
% 26.28/4.40 (in(v4, v5) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | (in(v1,
% 26.28/4.40 v3) = 0 & in(v0, v2) = 0))
% 26.28/4.40
% 26.28/4.40 (t16_wellord1)
% 26.28/4.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 26.28/4.40 (relation_restriction(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ~ $i(v2) | ~
% 26.28/4.40 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 26.28/4.40 any] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) =
% 26.28/4.40 v8 & in(v0, v2) = v6 & $i(v7) & ( ~ (v5 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0)
% 26.28/4.40 | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0))))))
% 26.28/4.40
% 26.28/4.40 (t19_wellord1)
% 26.28/4.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 26.28/4.40 (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~
% 26.28/4.40 (in(v0, v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ?
% 26.28/4.40 [v6: $i] : ? [v7: any] : ? [v8: any] : (relation_field(v2) = v6 &
% 26.28/4.40 relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & $i(v6) & ( ~ (v5 =
% 26.28/4.40 0) | (v8 = 0 & v7 = 0))))
% 26.28/4.40
% 26.28/4.40 (t23_wellord1)
% 26.28/4.40 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 26.28/4.40 connected(v2) = v3 & connected(v1) = 0 & relation_restriction(v1, v0) = v2 &
% 26.28/4.40 relation(v1) = 0 & $i(v2) & $i(v1) & $i(v0))
% 26.28/4.40
% 26.28/4.41 (function-axioms)
% 26.28/4.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 26.28/4.41 [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) &
% 26.28/4.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.41 (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) =
% 26.28/4.41 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 26.28/4.41 ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 26.28/4.41 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.41 (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0: $i]
% 26.28/4.41 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.41 (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & !
% 26.28/4.41 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.41 (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0: $i] : !
% 26.28/4.41 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3, v2) =
% 26.28/4.41 v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 26.28/4.41 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (in(v3,
% 26.28/4.41 v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 26.28/4.41 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (connected(v2) = v1) | ~
% 26.28/4.41 (connected(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 26.28/4.41 ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0: $i] : !
% 26.28/4.41 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~
% 26.28/4.41 (relation_field(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 26.28/4.41 v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0: $i]
% 26.28/4.41 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (singleton(v2) = v1) | ~
% 26.28/4.41 (singleton(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 26.28/4.41 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~
% 26.28/4.41 (one_to_one(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 26.28/4.41 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~
% 26.28/4.41 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 26.28/4.41 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (function(v2) = v1) | ~
% 26.28/4.41 (function(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 26.28/4.41 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~
% 26.28/4.41 (empty(v2) = v0))
% 26.28/4.41
% 26.28/4.41 Further assumptions not needed in the proof:
% 26.28/4.41 --------------------------------------------
% 26.28/4.41 antisymmetry_r2_hidden, cc1_funct_1, commutativity_k2_tarski,
% 26.28/4.41 commutativity_k2_xboole_0, d5_tarski, dt_k1_relat_1, dt_k1_tarski,
% 26.28/4.41 dt_k1_xboole_0, dt_k2_relat_1, dt_k2_tarski, dt_k2_xboole_0, dt_k2_zfmisc_1,
% 26.28/4.41 dt_k3_relat_1, dt_k3_xboole_0, dt_k4_tarski, dt_m1_subset_1,
% 26.28/4.41 existence_m1_subset_1, fc1_xboole_0, fc1_zfmisc_1, fc2_xboole_0, fc3_xboole_0,
% 26.28/4.41 idempotence_k2_xboole_0, idempotence_k3_xboole_0, rc1_funct_1, rc1_xboole_0,
% 26.28/4.41 rc2_funct_1, rc2_xboole_0, rc3_funct_1, t1_boole, t1_subset, t2_boole,
% 26.28/4.41 t2_subset, t6_boole, t7_boole, t8_boole
% 26.28/4.41
% 26.28/4.41 Those formulas are unsatisfiable:
% 26.28/4.41 ---------------------------------
% 26.28/4.41
% 26.28/4.41 Begin of proof
% 26.28/4.41 |
% 26.28/4.41 | ALPHA: (cc2_funct_1) implies:
% 26.28/4.41 | (1) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 26.28/4.41 | [v2: any] : ? [v3: any] : (one_to_one(v0) = v3 & function(v0) = v2 &
% 26.28/4.41 | empty(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0)))
% 26.28/4.41 | (2) ! [v0: $i] : ! [v1: any] : ( ~ (one_to_one(v0) = v1) | ~ $i(v0) | ?
% 26.28/4.41 | [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v2 &
% 26.28/4.41 | function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) |
% 26.28/4.41 | ~ (v2 = 0) | v1 = 0)))
% 26.28/4.41 |
% 26.28/4.41 | ALPHA: (commutativity_k3_xboole_0) implies:
% 26.28/4.42 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1,
% 26.28/4.42 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) =
% 26.28/4.42 | v2 & $i(v2)))
% 26.28/4.42 |
% 26.28/4.42 | ALPHA: (d6_relat_1) implies:
% 26.28/4.42 | (4) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 26.28/4.42 | [v2: $i] : ? [v3: $i] : (relation_dom(v0) = v2 & relation_field(v0)
% 26.28/4.42 | = v1 & relation_rng(v0) = v3 & set_union2(v2, v3) = v1 & $i(v3) &
% 26.28/4.42 | $i(v2) & $i(v1)))
% 26.28/4.42 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_field(v0) = v1) | ~ $i(v0) |
% 26.28/4.42 | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 26.28/4.42 | (relation_dom(v0) = v3 & relation_rng(v0) = v4 & set_union2(v3, v4) =
% 26.28/4.42 | v5 & relation(v0) = v2 & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) |
% 26.28/4.42 | v5 = v1)))
% 26.28/4.42 |
% 26.28/4.42 | ALPHA: (d6_wellord1) implies:
% 26.28/4.42 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v0,
% 26.28/4.42 | v1) = v2) | ~ (relation(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 26.28/4.42 | [v3: $i] : (cartesian_product2(v1, v1) = v3 & set_intersection2(v0,
% 26.28/4.42 | v3) = v2 & $i(v3) & $i(v2)))
% 26.28/4.42 |
% 26.28/4.42 | ALPHA: (l4_wellord1) implies:
% 26.28/4.42 | (7) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 26.28/4.42 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ? [v6: int] :
% 26.28/4.42 | ? [v7: $i] : ? [v8: int] : ? [v9: $i] : ? [v10: int] :
% 26.28/4.42 | (connected(v0) = v1 & relation_field(v0) = v2 & $i(v4) & $i(v3) &
% 26.28/4.42 | $i(v2) & ( ~ (v1 = 0) | ( ! [v11: $i] : ! [v12: $i] : ! [v13: $i]
% 26.28/4.42 | : (v12 = v11 | ~ (ordered_pair(v12, v11) = v13) | ~ $i(v12) |
% 26.28/4.42 | ~ $i(v11) | ? [v14: any] : ? [v15: any] : ? [v16: $i] :
% 26.28/4.42 | ? [v17: any] : ? [v18: any] : (ordered_pair(v11, v12) = v16
% 26.28/4.42 | & in(v16, v0) = v17 & in(v13, v0) = v18 & in(v12, v2) = v15
% 26.28/4.42 | & in(v11, v2) = v14 & $i(v16) & ( ~ (v15 = 0) | ~ (v14 =
% 26.28/4.42 | 0) | v18 = 0 | v17 = 0))) & ! [v11: $i] : ! [v12: $i]
% 26.28/4.42 | : ! [v13: $i] : (v12 = v11 | ~ (ordered_pair(v11, v12) = v13)
% 26.28/4.42 | | ~ $i(v12) | ~ $i(v11) | ? [v14: any] : ? [v15: any] :
% 26.28/4.42 | ? [v16: any] : ? [v17: $i] : ? [v18: any] :
% 26.28/4.42 | (ordered_pair(v12, v11) = v17 & in(v17, v0) = v18 & in(v13,
% 26.28/4.42 | v0) = v16 & in(v12, v2) = v15 & in(v11, v2) = v14 &
% 26.28/4.42 | $i(v17) & ( ~ (v15 = 0) | ~ (v14 = 0) | v18 = 0 | v16 =
% 26.28/4.42 | 0))))) & (v1 = 0 | (v6 = 0 & v5 = 0 & ~ (v10 = 0) & ~
% 26.28/4.42 | (v8 = 0) & ~ (v4 = v3) & ordered_pair(v4, v3) = v9 &
% 26.28/4.42 | ordered_pair(v3, v4) = v7 & in(v9, v0) = v10 & in(v7, v0) = v8
% 26.28/4.42 | & in(v4, v2) = 0 & in(v3, v2) = 0 & $i(v9) & $i(v7)))))
% 26.28/4.43 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_field(v0) = v1) | ~ $i(v0) |
% 26.28/4.43 | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 26.28/4.43 | int] : ? [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] :
% 26.28/4.43 | ? [v11: int] : (connected(v0) = v3 & relation(v0) = v2 & $i(v5) &
% 26.28/4.43 | $i(v4) & ( ~ (v2 = 0) | (( ~ (v3 = 0) | ( ! [v12: $i] : ! [v13:
% 26.28/4.43 | $i] : ! [v14: $i] : (v13 = v12 | ~ (ordered_pair(v13,
% 26.28/4.43 | v12) = v14) | ~ $i(v13) | ~ $i(v12) | ? [v15: any]
% 26.28/4.43 | : ? [v16: any] : ? [v17: $i] : ? [v18: any] : ? [v19:
% 26.28/4.43 | any] : (ordered_pair(v12, v13) = v17 & in(v17, v0) =
% 26.28/4.43 | v18 & in(v14, v0) = v19 & in(v13, v1) = v16 & in(v12,
% 26.28/4.43 | v1) = v15 & $i(v17) & ( ~ (v16 = 0) | ~ (v15 = 0) |
% 26.28/4.43 | v19 = 0 | v18 = 0))) & ! [v12: $i] : ! [v13: $i] :
% 26.28/4.43 | ! [v14: $i] : (v13 = v12 | ~ (ordered_pair(v12, v13) =
% 26.28/4.43 | v14) | ~ $i(v13) | ~ $i(v12) | ? [v15: any] : ?
% 26.28/4.43 | [v16: any] : ? [v17: any] : ? [v18: $i] : ? [v19: any]
% 26.28/4.43 | : (ordered_pair(v13, v12) = v18 & in(v18, v0) = v19 &
% 26.28/4.43 | in(v14, v0) = v17 & in(v13, v1) = v16 & in(v12, v1) =
% 26.28/4.43 | v15 & $i(v18) & ( ~ (v16 = 0) | ~ (v15 = 0) | v19 = 0
% 26.28/4.43 | | v17 = 0))))) & (v3 = 0 | (v7 = 0 & v6 = 0 & ~ (v11
% 26.28/4.43 | = 0) & ~ (v9 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4)
% 26.28/4.43 | = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 &
% 26.28/4.43 | in(v8, v0) = v9 & in(v5, v1) = 0 & in(v4, v1) = 0 & $i(v10)
% 26.28/4.43 | & $i(v8)))))))
% 26.28/4.43 | (9) ! [v0: $i] : ! [v1: any] : ( ~ (connected(v0) = v1) | ~ $i(v0) | ?
% 26.28/4.43 | [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] :
% 26.28/4.43 | ? [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11:
% 26.28/4.43 | int] : (relation_field(v0) = v3 & relation(v0) = v2 & $i(v5) &
% 26.28/4.43 | $i(v4) & $i(v3) & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ( ! [v12: $i] : !
% 26.28/4.43 | [v13: $i] : ! [v14: $i] : (v13 = v12 | ~
% 26.28/4.43 | (ordered_pair(v13, v12) = v14) | ~ $i(v13) | ~ $i(v12)
% 26.28/4.43 | | ? [v15: any] : ? [v16: any] : ? [v17: $i] : ? [v18:
% 26.28/4.43 | any] : ? [v19: any] : (ordered_pair(v12, v13) = v17 &
% 26.28/4.43 | in(v17, v0) = v18 & in(v14, v0) = v19 & in(v13, v3) =
% 26.28/4.43 | v16 & in(v12, v3) = v15 & $i(v17) & ( ~ (v16 = 0) | ~
% 26.28/4.43 | (v15 = 0) | v19 = 0 | v18 = 0))) & ! [v12: $i] : !
% 26.28/4.43 | [v13: $i] : ! [v14: $i] : (v13 = v12 | ~
% 26.28/4.43 | (ordered_pair(v12, v13) = v14) | ~ $i(v13) | ~ $i(v12)
% 26.28/4.43 | | ? [v15: any] : ? [v16: any] : ? [v17: any] : ?
% 26.28/4.43 | [v18: $i] : ? [v19: any] : (ordered_pair(v13, v12) = v18
% 26.28/4.43 | & in(v18, v0) = v19 & in(v14, v0) = v17 & in(v13, v3) =
% 26.28/4.43 | v16 & in(v12, v3) = v15 & $i(v18) & ( ~ (v16 = 0) | ~
% 26.28/4.43 | (v15 = 0) | v19 = 0 | v17 = 0))))) & (v1 = 0 | (v7 =
% 26.28/4.43 | 0 & v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v5 = v4) &
% 26.28/4.43 | ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 &
% 26.28/4.43 | in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 &
% 26.28/4.43 | in(v4, v3) = 0 & $i(v10) & $i(v8)))))))
% 26.28/4.43 |
% 26.28/4.43 | ALPHA: (t106_zfmisc_1) implies:
% 26.28/4.43 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 26.28/4.43 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (cartesian_product2(v2, v3) =
% 26.28/4.43 | v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = v6) | ~
% 26.28/4.43 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8:
% 26.28/4.43 | any] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7
% 26.28/4.43 | = 0))))
% 26.28/4.43 |
% 26.28/4.43 | ALPHA: (function-axioms) implies:
% 26.28/4.43 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 26.28/4.44 | : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 26.28/4.44 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.44 | (relation_field(v2) = v1) | ~ (relation_field(v2) = v0))
% 26.28/4.44 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 26.28/4.44 | : (v1 = v0 | ~ (connected(v2) = v1) | ~ (connected(v2) = v0))
% 26.28/4.44 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 26.28/4.44 | : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) =
% 26.28/4.44 | v0))
% 26.28/4.44 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.44 | (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0))
% 26.28/4.44 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 26.28/4.44 | (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) =
% 26.28/4.44 | v0))
% 26.28/4.44 |
% 26.28/4.44 | DELTA: instantiating (t23_wellord1) with fresh symbols all_41_0, all_41_1,
% 26.28/4.44 | all_41_2, all_41_3 gives:
% 26.28/4.44 | (17) ~ (all_41_0 = 0) & connected(all_41_1) = all_41_0 &
% 26.28/4.44 | connected(all_41_2) = 0 & relation_restriction(all_41_2, all_41_3) =
% 26.28/4.44 | all_41_1 & relation(all_41_2) = 0 & $i(all_41_1) & $i(all_41_2) &
% 26.28/4.44 | $i(all_41_3)
% 26.28/4.44 |
% 26.28/4.44 | ALPHA: (17) implies:
% 26.28/4.44 | (18) ~ (all_41_0 = 0)
% 26.28/4.44 | (19) $i(all_41_3)
% 26.28/4.44 | (20) $i(all_41_2)
% 26.28/4.44 | (21) $i(all_41_1)
% 26.28/4.44 | (22) relation(all_41_2) = 0
% 26.28/4.44 | (23) relation_restriction(all_41_2, all_41_3) = all_41_1
% 26.28/4.44 | (24) connected(all_41_2) = 0
% 26.28/4.44 | (25) connected(all_41_1) = all_41_0
% 26.28/4.44 |
% 26.28/4.44 | GROUND_INST: instantiating (7) with all_41_2, simplifying with (20), (22)
% 26.28/4.44 | gives:
% 26.28/4.44 | (26) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int]
% 26.28/4.44 | : ? [v5: int] : ? [v6: $i] : ? [v7: int] : ? [v8: $i] : ? [v9:
% 26.28/4.44 | int] : (connected(all_41_2) = v0 & relation_field(all_41_2) = v1 &
% 26.28/4.44 | $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | ( ! [v10: $i] : ! [v11:
% 26.28/4.44 | $i] : ! [v12: $i] : (v11 = v10 | ~ (ordered_pair(v11, v10) =
% 26.28/4.44 | v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] : ? [v14:
% 26.28/4.44 | any] : ? [v15: $i] : ? [v16: any] : ? [v17: any] :
% 26.28/4.44 | (ordered_pair(v10, v11) = v15 & in(v15, all_41_2) = v16 &
% 26.28/4.44 | in(v12, all_41_2) = v17 & in(v11, v1) = v14 & in(v10, v1) =
% 26.28/4.44 | v13 & $i(v15) & ( ~ (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v16
% 26.28/4.44 | = 0))) & ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : (v11
% 26.28/4.44 | = v10 | ~ (ordered_pair(v10, v11) = v12) | ~ $i(v11) | ~
% 26.28/4.44 | $i(v10) | ? [v13: any] : ? [v14: any] : ? [v15: any] : ?
% 26.28/4.44 | [v16: $i] : ? [v17: any] : (ordered_pair(v11, v10) = v16 &
% 26.28/4.44 | in(v16, all_41_2) = v17 & in(v12, all_41_2) = v15 & in(v11,
% 26.28/4.44 | v1) = v14 & in(v10, v1) = v13 & $i(v16) & ( ~ (v14 = 0) |
% 26.28/4.44 | ~ (v13 = 0) | v17 = 0 | v15 = 0))))) & (v0 = 0 | (v5 = 0 &
% 26.28/4.44 | v4 = 0 & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v3 = v2) &
% 26.28/4.44 | ordered_pair(v3, v2) = v8 & ordered_pair(v2, v3) = v6 & in(v8,
% 26.28/4.44 | all_41_2) = v9 & in(v6, all_41_2) = v7 & in(v3, v1) = 0 &
% 26.28/4.44 | in(v2, v1) = 0 & $i(v8) & $i(v6))))
% 26.28/4.44 |
% 26.28/4.44 | GROUND_INST: instantiating (4) with all_41_2, simplifying with (20), (22)
% 26.28/4.44 | gives:
% 26.28/4.44 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (relation_dom(all_41_2) = v1
% 26.28/4.44 | & relation_field(all_41_2) = v0 & relation_rng(all_41_2) = v2 &
% 26.28/4.44 | set_union2(v1, v2) = v0 & $i(v2) & $i(v1) & $i(v0))
% 26.28/4.44 |
% 26.28/4.44 | GROUND_INST: instantiating (1) with all_41_2, simplifying with (20), (22)
% 26.28/4.44 | gives:
% 26.28/4.45 | (28) ? [v0: any] : ? [v1: any] : ? [v2: any] : (one_to_one(all_41_2) =
% 26.28/4.45 | v2 & function(all_41_2) = v1 & empty(all_41_2) = v0 & ( ~ (v1 = 0) |
% 26.28/4.45 | ~ (v0 = 0) | v2 = 0))
% 26.28/4.45 |
% 26.28/4.45 | GROUND_INST: instantiating (6) with all_41_2, all_41_3, all_41_1, simplifying
% 26.28/4.45 | with (19), (20), (22), (23) gives:
% 26.28/4.45 | (29) ? [v0: $i] : (cartesian_product2(all_41_3, all_41_3) = v0 &
% 26.28/4.45 | set_intersection2(all_41_2, v0) = all_41_1 & $i(v0) & $i(all_41_1))
% 26.28/4.45 |
% 26.28/4.45 | GROUND_INST: instantiating (dt_k2_wellord1) with all_41_2, all_41_3, all_41_1,
% 26.28/4.45 | simplifying with (19), (20), (23) gives:
% 26.28/4.45 | (30) ? [v0: any] : ? [v1: any] : (relation(all_41_1) = v1 &
% 26.28/4.45 | relation(all_41_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 26.28/4.45 |
% 26.28/4.45 | GROUND_INST: instantiating (9) with all_41_2, 0, simplifying with (20), (24)
% 26.28/4.45 | gives:
% 26.28/4.45 | (31) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 26.28/4.45 | (relation_field(all_41_2) = v1 & relation(all_41_2) = v0 & $i(v3) &
% 26.28/4.45 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: $i] : !
% 26.28/4.45 | [v6: $i] : (v5 = v4 | ~ (ordered_pair(v5, v4) = v6) | ~ $i(v5)
% 26.28/4.45 | | ~ $i(v4) | ? [v7: any] : ? [v8: any] : ? [v9: $i] : ?
% 26.28/4.45 | [v10: any] : ? [v11: any] : (ordered_pair(v4, v5) = v9 &
% 26.28/4.45 | in(v9, all_41_2) = v10 & in(v6, all_41_2) = v11 & in(v5, v1)
% 26.28/4.45 | = v8 & in(v4, v1) = v7 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0)
% 26.28/4.45 | | v11 = 0 | v10 = 0))) & ! [v4: $i] : ! [v5: $i] : !
% 26.28/4.45 | [v6: $i] : (v5 = v4 | ~ (ordered_pair(v4, v5) = v6) | ~ $i(v5)
% 26.28/4.45 | | ~ $i(v4) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ?
% 26.28/4.45 | [v10: $i] : ? [v11: any] : (ordered_pair(v5, v4) = v10 &
% 26.28/4.45 | in(v10, all_41_2) = v11 & in(v6, all_41_2) = v9 & in(v5, v1)
% 26.28/4.45 | = v8 & in(v4, v1) = v7 & $i(v10) & ( ~ (v8 = 0) | ~ (v7 =
% 26.28/4.45 | 0) | v11 = 0 | v9 = 0))))))
% 26.28/4.45 |
% 26.28/4.45 | GROUND_INST: instantiating (9) with all_41_1, all_41_0, simplifying with (21),
% 26.28/4.45 | (25) gives:
% 26.28/4.45 | (32) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int]
% 26.28/4.45 | : ? [v5: int] : ? [v6: $i] : ? [v7: int] : ? [v8: $i] : ? [v9:
% 26.28/4.45 | int] : (relation_field(all_41_1) = v1 & relation(all_41_1) = v0 &
% 26.28/4.45 | $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (all_41_0 = 0) | ( !
% 26.28/4.45 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : (v11 = v10 | ~
% 26.28/4.45 | (ordered_pair(v11, v10) = v12) | ~ $i(v11) | ~ $i(v10) |
% 26.28/4.45 | ? [v13: any] : ? [v14: any] : ? [v15: $i] : ? [v16:
% 26.28/4.45 | any] : ? [v17: any] : (ordered_pair(v10, v11) = v15 &
% 26.28/4.45 | in(v15, all_41_1) = v16 & in(v12, all_41_1) = v17 &
% 26.28/4.45 | in(v11, v1) = v14 & in(v10, v1) = v13 & $i(v15) & ( ~
% 26.28/4.45 | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v16 = 0))) & !
% 26.28/4.45 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : (v11 = v10 | ~
% 26.28/4.45 | (ordered_pair(v10, v11) = v12) | ~ $i(v11) | ~ $i(v10) |
% 26.28/4.45 | ? [v13: any] : ? [v14: any] : ? [v15: any] : ? [v16:
% 26.28/4.45 | $i] : ? [v17: any] : (ordered_pair(v11, v10) = v16 &
% 26.28/4.45 | in(v16, all_41_1) = v17 & in(v12, all_41_1) = v15 &
% 26.28/4.45 | in(v11, v1) = v14 & in(v10, v1) = v13 & $i(v16) & ( ~
% 26.28/4.45 | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v15 = 0))))) &
% 26.28/4.45 | (all_41_0 = 0 | (v5 = 0 & v4 = 0 & ~ (v9 = 0) & ~ (v7 = 0) &
% 26.28/4.45 | ~ (v3 = v2) & ordered_pair(v3, v2) = v8 & ordered_pair(v2,
% 26.28/4.45 | v3) = v6 & in(v8, all_41_1) = v9 & in(v6, all_41_1) = v7 &
% 26.28/4.45 | in(v3, v1) = 0 & in(v2, v1) = 0 & $i(v8) & $i(v6))))))
% 26.28/4.45 |
% 26.28/4.45 | DELTA: instantiating (30) with fresh symbols all_51_0, all_51_1 gives:
% 26.28/4.45 | (33) relation(all_41_1) = all_51_0 & relation(all_41_2) = all_51_1 & ( ~
% 26.28/4.45 | (all_51_1 = 0) | all_51_0 = 0)
% 26.28/4.45 |
% 26.28/4.45 | ALPHA: (33) implies:
% 26.28/4.45 | (34) relation(all_41_2) = all_51_1
% 26.28/4.45 | (35) relation(all_41_1) = all_51_0
% 26.28/4.45 | (36) ~ (all_51_1 = 0) | all_51_0 = 0
% 26.28/4.45 |
% 26.28/4.45 | DELTA: instantiating (29) with fresh symbol all_53_0 gives:
% 26.28/4.45 | (37) cartesian_product2(all_41_3, all_41_3) = all_53_0 &
% 26.28/4.45 | set_intersection2(all_41_2, all_53_0) = all_41_1 & $i(all_53_0) &
% 26.28/4.45 | $i(all_41_1)
% 26.28/4.45 |
% 26.28/4.45 | ALPHA: (37) implies:
% 26.28/4.45 | (38) $i(all_53_0)
% 26.28/4.45 | (39) set_intersection2(all_41_2, all_53_0) = all_41_1
% 26.28/4.45 | (40) cartesian_product2(all_41_3, all_41_3) = all_53_0
% 26.28/4.45 |
% 26.28/4.45 | DELTA: instantiating (28) with fresh symbols all_55_0, all_55_1, all_55_2
% 26.28/4.45 | gives:
% 26.28/4.45 | (41) one_to_one(all_41_2) = all_55_0 & function(all_41_2) = all_55_1 &
% 26.28/4.45 | empty(all_41_2) = all_55_2 & ( ~ (all_55_1 = 0) | ~ (all_55_2 = 0) |
% 26.28/4.45 | all_55_0 = 0)
% 26.28/4.45 |
% 26.28/4.45 | ALPHA: (41) implies:
% 26.28/4.45 | (42) one_to_one(all_41_2) = all_55_0
% 26.28/4.45 |
% 26.28/4.45 | DELTA: instantiating (27) with fresh symbols all_77_0, all_77_1, all_77_2
% 26.28/4.45 | gives:
% 26.28/4.45 | (43) relation_dom(all_41_2) = all_77_1 & relation_field(all_41_2) =
% 26.28/4.45 | all_77_2 & relation_rng(all_41_2) = all_77_0 & set_union2(all_77_1,
% 26.28/4.45 | all_77_0) = all_77_2 & $i(all_77_0) & $i(all_77_1) & $i(all_77_2)
% 26.28/4.45 |
% 26.28/4.46 | ALPHA: (43) implies:
% 26.28/4.46 | (44) relation_field(all_41_2) = all_77_2
% 26.28/4.46 |
% 26.28/4.46 | DELTA: instantiating (31) with fresh symbols all_83_0, all_83_1, all_83_2,
% 26.28/4.46 | all_83_3 gives:
% 26.28/4.46 | (45) relation_field(all_41_2) = all_83_2 & relation(all_41_2) = all_83_3 &
% 26.28/4.46 | $i(all_83_0) & $i(all_83_1) & $i(all_83_2) & ( ~ (all_83_3 = 0) | ( !
% 26.28/4.46 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.46 | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 26.28/4.46 | any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.28/4.46 | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.28/4.46 | in(v2, all_41_2) = v7 & in(v1, all_83_2) = v4 & in(v0,
% 26.28/4.46 | all_83_2) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.28/4.46 | 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 26.28/4.46 | (v1 = v0 | ~ (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 26.28/4.46 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.28/4.46 | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 &
% 26.28/4.46 | in(v2, all_41_2) = v5 & in(v1, all_83_2) = v4 & in(v0,
% 26.28/4.46 | all_83_2) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.28/4.46 | 0 | v5 = 0)))))
% 26.28/4.46 |
% 26.28/4.46 | ALPHA: (45) implies:
% 26.28/4.46 | (46) relation(all_41_2) = all_83_3
% 26.28/4.46 | (47) relation_field(all_41_2) = all_83_2
% 26.28/4.46 | (48) ~ (all_83_3 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 26.28/4.46 | v0 | ~ (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.28/4.46 | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.28/4.46 | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.28/4.46 | in(v2, all_41_2) = v7 & in(v1, all_83_2) = v4 & in(v0, all_83_2)
% 26.28/4.46 | = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0)))
% 26.28/4.46 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.46 | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 26.28/4.46 | : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 26.28/4.46 | (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 & in(v2,
% 26.28/4.46 | all_41_2) = v5 & in(v1, all_83_2) = v4 & in(v0, all_83_2) = v3
% 26.28/4.46 | & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))
% 26.28/4.46 |
% 26.28/4.46 | DELTA: instantiating (26) with fresh symbols all_89_0, all_89_1, all_89_2,
% 26.28/4.46 | all_89_3, all_89_4, all_89_5, all_89_6, all_89_7, all_89_8, all_89_9
% 26.28/4.46 | gives:
% 26.28/4.46 | (49) connected(all_41_2) = all_89_9 & relation_field(all_41_2) = all_89_8 &
% 26.28/4.46 | $i(all_89_6) & $i(all_89_7) & $i(all_89_8) & ( ~ (all_89_9 = 0) | ( !
% 26.28/4.46 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.46 | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 26.28/4.46 | any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.28/4.46 | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.28/4.46 | in(v2, all_41_2) = v7 & in(v1, all_89_8) = v4 & in(v0,
% 26.28/4.46 | all_89_8) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.28/4.46 | 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 26.28/4.46 | (v1 = v0 | ~ (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 26.28/4.46 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.28/4.46 | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 &
% 26.28/4.46 | in(v2, all_41_2) = v5 & in(v1, all_89_8) = v4 & in(v0,
% 26.28/4.46 | all_89_8) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.28/4.46 | 0 | v5 = 0))))) & (all_89_9 = 0 | (all_89_4 = 0 & all_89_5 =
% 26.28/4.46 | 0 & ~ (all_89_0 = 0) & ~ (all_89_2 = 0) & ~ (all_89_6 =
% 26.28/4.46 | all_89_7) & ordered_pair(all_89_6, all_89_7) = all_89_1 &
% 26.28/4.46 | ordered_pair(all_89_7, all_89_6) = all_89_3 & in(all_89_1,
% 26.28/4.46 | all_41_2) = all_89_0 & in(all_89_3, all_41_2) = all_89_2 &
% 26.28/4.46 | in(all_89_6, all_89_8) = 0 & in(all_89_7, all_89_8) = 0 &
% 26.28/4.46 | $i(all_89_1) & $i(all_89_3)))
% 26.28/4.46 |
% 26.28/4.46 | ALPHA: (49) implies:
% 26.28/4.46 | (50) relation_field(all_41_2) = all_89_8
% 26.28/4.46 | (51) connected(all_41_2) = all_89_9
% 26.28/4.46 | (52) ~ (all_89_9 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 26.28/4.46 | v0 | ~ (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.28/4.46 | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.28/4.46 | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.28/4.46 | in(v2, all_41_2) = v7 & in(v1, all_89_8) = v4 & in(v0, all_89_8)
% 26.28/4.46 | = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0)))
% 26.28/4.46 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.46 | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 26.28/4.46 | : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 26.28/4.46 | (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 & in(v2,
% 26.28/4.46 | all_41_2) = v5 & in(v1, all_89_8) = v4 & in(v0, all_89_8) = v3
% 26.28/4.46 | & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))
% 26.28/4.46 |
% 26.28/4.46 | DELTA: instantiating (32) with fresh symbols all_93_0, all_93_1, all_93_2,
% 26.28/4.46 | all_93_3, all_93_4, all_93_5, all_93_6, all_93_7, all_93_8, all_93_9
% 26.28/4.46 | gives:
% 26.28/4.47 | (53) relation_field(all_41_1) = all_93_8 & relation(all_41_1) = all_93_9 &
% 26.28/4.47 | $i(all_93_6) & $i(all_93_7) & $i(all_93_8) & ( ~ (all_93_9 = 0) | (( ~
% 26.28/4.47 | (all_41_0 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 26.28/4.47 | = v0 | ~ (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~
% 26.28/4.47 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6:
% 26.28/4.47 | any] : ? [v7: any] : (ordered_pair(v0, v1) = v5 & in(v5,
% 26.28/4.47 | all_41_1) = v6 & in(v2, all_41_1) = v7 & in(v1,
% 26.28/4.47 | all_93_8) = v4 & in(v0, all_93_8) = v3 & $i(v5) & ( ~
% 26.28/4.47 | (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0))) & ! [v0:
% 26.28/4.47 | $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.28/4.47 | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.28/4.47 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.28/4.47 | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_1) =
% 26.28/4.47 | v7 & in(v2, all_41_1) = v5 & in(v1, all_93_8) = v4 &
% 26.28/4.47 | in(v0, all_93_8) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 =
% 26.28/4.47 | 0) | v7 = 0 | v5 = 0))))) & (all_41_0 = 0 | (all_93_4
% 26.28/4.47 | = 0 & all_93_5 = 0 & ~ (all_93_0 = 0) & ~ (all_93_2 = 0) &
% 26.28/4.47 | ~ (all_93_6 = all_93_7) & ordered_pair(all_93_6, all_93_7) =
% 26.28/4.47 | all_93_1 & ordered_pair(all_93_7, all_93_6) = all_93_3 &
% 26.28/4.47 | in(all_93_1, all_41_1) = all_93_0 & in(all_93_3, all_41_1) =
% 26.28/4.47 | all_93_2 & in(all_93_6, all_93_8) = 0 & in(all_93_7, all_93_8)
% 26.28/4.47 | = 0 & $i(all_93_1) & $i(all_93_3)))))
% 26.28/4.47 |
% 26.28/4.47 | ALPHA: (53) implies:
% 26.28/4.47 | (54) $i(all_93_7)
% 26.28/4.47 | (55) $i(all_93_6)
% 26.28/4.47 | (56) relation(all_41_1) = all_93_9
% 26.28/4.47 | (57) relation_field(all_41_1) = all_93_8
% 26.92/4.47 | (58) ~ (all_93_9 = 0) | (( ~ (all_41_0 = 0) | ( ! [v0: $i] : ! [v1: $i] :
% 26.92/4.47 | ! [v2: $i] : (v1 = v0 | ~ (ordered_pair(v1, v0) = v2) | ~
% 26.92/4.47 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i]
% 26.92/4.47 | : ? [v6: any] : ? [v7: any] : (ordered_pair(v0, v1) = v5 &
% 26.92/4.47 | in(v5, all_41_1) = v6 & in(v2, all_41_1) = v7 & in(v1,
% 26.92/4.47 | all_93_8) = v4 & in(v0, all_93_8) = v3 & $i(v5) & ( ~ (v4
% 26.92/4.47 | = 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0))) & ! [v0: $i] :
% 26.92/4.47 | ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (ordered_pair(v0, v1) =
% 26.92/4.47 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 26.92/4.47 | ? [v5: any] : ? [v6: $i] : ? [v7: any] : (ordered_pair(v1,
% 26.92/4.47 | v0) = v6 & in(v6, all_41_1) = v7 & in(v2, all_41_1) = v5 &
% 26.92/4.47 | in(v1, all_93_8) = v4 & in(v0, all_93_8) = v3 & $i(v6) & ( ~
% 26.92/4.47 | (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))) & (all_41_0
% 26.92/4.47 | = 0 | (all_93_4 = 0 & all_93_5 = 0 & ~ (all_93_0 = 0) & ~
% 26.92/4.47 | (all_93_2 = 0) & ~ (all_93_6 = all_93_7) &
% 26.92/4.47 | ordered_pair(all_93_6, all_93_7) = all_93_1 &
% 26.92/4.47 | ordered_pair(all_93_7, all_93_6) = all_93_3 & in(all_93_1,
% 26.92/4.47 | all_41_1) = all_93_0 & in(all_93_3, all_41_1) = all_93_2 &
% 26.92/4.47 | in(all_93_6, all_93_8) = 0 & in(all_93_7, all_93_8) = 0 &
% 26.92/4.47 | $i(all_93_1) & $i(all_93_3))))
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (11) with 0, all_83_3, all_41_2, simplifying with
% 26.92/4.47 | (22), (46) gives:
% 26.92/4.47 | (59) all_83_3 = 0
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (11) with all_51_1, all_83_3, all_41_2, simplifying
% 26.92/4.47 | with (34), (46) gives:
% 26.92/4.47 | (60) all_83_3 = all_51_1
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (11) with all_51_0, all_93_9, all_41_1, simplifying
% 26.92/4.47 | with (35), (56) gives:
% 26.92/4.47 | (61) all_93_9 = all_51_0
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (12) with all_83_2, all_89_8, all_41_2, simplifying
% 26.92/4.47 | with (47), (50) gives:
% 26.92/4.47 | (62) all_89_8 = all_83_2
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (12) with all_77_2, all_89_8, all_41_2, simplifying
% 26.92/4.47 | with (44), (50) gives:
% 26.92/4.47 | (63) all_89_8 = all_77_2
% 26.92/4.47 |
% 26.92/4.47 | GROUND_INST: instantiating (13) with 0, all_89_9, all_41_2, simplifying with
% 26.92/4.47 | (24), (51) gives:
% 26.92/4.47 | (64) all_89_9 = 0
% 26.92/4.47 |
% 26.92/4.47 | COMBINE_EQS: (62), (63) imply:
% 26.92/4.47 | (65) all_83_2 = all_77_2
% 26.92/4.47 |
% 26.92/4.47 | SIMP: (65) implies:
% 26.92/4.47 | (66) all_83_2 = all_77_2
% 26.92/4.47 |
% 26.92/4.47 | COMBINE_EQS: (59), (60) imply:
% 26.92/4.47 | (67) all_51_1 = 0
% 26.92/4.47 |
% 26.92/4.47 | BETA: splitting (36) gives:
% 26.92/4.47 |
% 26.92/4.47 | Case 1:
% 26.92/4.47 | |
% 26.92/4.47 | | (68) ~ (all_51_1 = 0)
% 26.92/4.47 | |
% 26.92/4.47 | | REDUCE: (67), (68) imply:
% 26.92/4.47 | | (69) $false
% 26.92/4.47 | |
% 26.92/4.47 | | CLOSE: (69) is inconsistent.
% 26.92/4.47 | |
% 26.92/4.47 | Case 2:
% 26.92/4.47 | |
% 26.92/4.47 | | (70) all_51_0 = 0
% 26.92/4.47 | |
% 26.92/4.47 | | COMBINE_EQS: (61), (70) imply:
% 26.92/4.47 | | (71) all_93_9 = 0
% 26.92/4.47 | |
% 26.92/4.47 | | REDUCE: (35), (70) imply:
% 26.92/4.47 | | (72) relation(all_41_1) = 0
% 26.92/4.47 | |
% 26.92/4.47 | | BETA: splitting (48) gives:
% 26.92/4.47 | |
% 26.92/4.47 | | Case 1:
% 26.92/4.47 | | |
% 26.92/4.47 | | | (73) ~ (all_83_3 = 0)
% 26.92/4.47 | | |
% 26.92/4.47 | | | REDUCE: (59), (73) imply:
% 26.92/4.47 | | | (74) $false
% 26.92/4.47 | | |
% 26.92/4.47 | | | CLOSE: (74) is inconsistent.
% 26.92/4.47 | | |
% 26.92/4.47 | | Case 2:
% 26.92/4.47 | | |
% 26.92/4.48 | | | (75) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 26.92/4.48 | | | any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.92/4.48 | | | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.92/4.48 | | | in(v2, all_41_2) = v7 & in(v1, all_83_2) = v4 & in(v0,
% 26.92/4.48 | | | all_83_2) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.92/4.48 | | | 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 26.92/4.48 | | | (v1 = v0 | ~ (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 26.92/4.48 | | | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.92/4.48 | | | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 &
% 26.92/4.48 | | | in(v2, all_41_2) = v5 & in(v1, all_83_2) = v4 & in(v0,
% 26.92/4.48 | | | all_83_2) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.92/4.48 | | | 0 | v5 = 0)))
% 26.92/4.48 | | |
% 26.92/4.48 | | | ALPHA: (75) implies:
% 26.92/4.48 | | | (76) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 26.92/4.48 | | | any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 26.92/4.48 | | | any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) = v7 &
% 26.92/4.48 | | | in(v2, all_41_2) = v5 & in(v1, all_83_2) = v4 & in(v0,
% 26.92/4.48 | | | all_83_2) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.92/4.48 | | | 0 | v5 = 0)))
% 26.92/4.48 | | | (77) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 26.92/4.48 | | | any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 26.92/4.48 | | | any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) = v6 &
% 26.92/4.48 | | | in(v2, all_41_2) = v7 & in(v1, all_83_2) = v4 & in(v0,
% 26.92/4.48 | | | all_83_2) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 =
% 26.92/4.48 | | | 0 | v6 = 0)))
% 26.92/4.48 | | |
% 26.92/4.48 | | | BETA: splitting (58) gives:
% 26.92/4.48 | | |
% 26.92/4.48 | | | Case 1:
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | (78) ~ (all_93_9 = 0)
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | REDUCE: (71), (78) imply:
% 26.92/4.48 | | | | (79) $false
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | CLOSE: (79) is inconsistent.
% 26.92/4.48 | | | |
% 26.92/4.48 | | | Case 2:
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | (80) ( ~ (all_41_0 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 26.92/4.48 | | | | (v1 = v0 | ~ (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~
% 26.92/4.48 | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ?
% 26.92/4.48 | | | | [v6: any] : ? [v7: any] : (ordered_pair(v0, v1) = v5 &
% 26.92/4.48 | | | | in(v5, all_41_1) = v6 & in(v2, all_41_1) = v7 & in(v1,
% 26.92/4.48 | | | | all_93_8) = v4 & in(v0, all_93_8) = v3 & $i(v5) & ( ~
% 26.92/4.48 | | | | (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0))) & ! [v0:
% 26.92/4.48 | | | | $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.92/4.48 | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.92/4.48 | | | | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_1)
% 26.92/4.48 | | | | = v7 & in(v2, all_41_1) = v5 & in(v1, all_93_8) = v4 &
% 26.92/4.48 | | | | in(v0, all_93_8) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 =
% 26.92/4.48 | | | | 0) | v7 = 0 | v5 = 0))))) & (all_41_0 = 0 |
% 26.92/4.48 | | | | (all_93_4 = 0 & all_93_5 = 0 & ~ (all_93_0 = 0) & ~
% 26.92/4.48 | | | | (all_93_2 = 0) & ~ (all_93_6 = all_93_7) &
% 26.92/4.48 | | | | ordered_pair(all_93_6, all_93_7) = all_93_1 &
% 26.92/4.48 | | | | ordered_pair(all_93_7, all_93_6) = all_93_3 & in(all_93_1,
% 26.92/4.48 | | | | all_41_1) = all_93_0 & in(all_93_3, all_41_1) = all_93_2 &
% 26.92/4.48 | | | | in(all_93_6, all_93_8) = 0 & in(all_93_7, all_93_8) = 0 &
% 26.92/4.48 | | | | $i(all_93_1) & $i(all_93_3)))
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | ALPHA: (80) implies:
% 26.92/4.48 | | | | (81) all_41_0 = 0 | (all_93_4 = 0 & all_93_5 = 0 & ~ (all_93_0 = 0)
% 26.92/4.48 | | | | & ~ (all_93_2 = 0) & ~ (all_93_6 = all_93_7) &
% 26.92/4.48 | | | | ordered_pair(all_93_6, all_93_7) = all_93_1 &
% 26.92/4.48 | | | | ordered_pair(all_93_7, all_93_6) = all_93_3 & in(all_93_1,
% 26.92/4.48 | | | | all_41_1) = all_93_0 & in(all_93_3, all_41_1) = all_93_2 &
% 26.92/4.48 | | | | in(all_93_6, all_93_8) = 0 & in(all_93_7, all_93_8) = 0 &
% 26.92/4.48 | | | | $i(all_93_1) & $i(all_93_3))
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | BETA: splitting (52) gives:
% 26.92/4.48 | | | |
% 26.92/4.48 | | | | Case 1:
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | | (82) ~ (all_89_9 = 0)
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | | REDUCE: (64), (82) imply:
% 26.92/4.48 | | | | | (83) $false
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | | CLOSE: (83) is inconsistent.
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | Case 2:
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | | (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.92/4.48 | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ?
% 26.92/4.48 | | | | | [v7: any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) =
% 26.92/4.48 | | | | | v6 & in(v2, all_41_2) = v7 & in(v1, all_89_8) = v4 &
% 26.92/4.48 | | | | | in(v0, all_89_8) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 =
% 26.92/4.48 | | | | | 0) | v7 = 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 26.92/4.48 | | | | | ! [v2: $i] : (v1 = v0 | ~ (ordered_pair(v0, v1) = v2) | ~
% 26.92/4.48 | | | | | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 26.92/4.48 | | | | | any] : ? [v6: $i] : ? [v7: any] : (ordered_pair(v1, v0)
% 26.92/4.48 | | | | | = v6 & in(v6, all_41_2) = v7 & in(v2, all_41_2) = v5 &
% 26.92/4.48 | | | | | in(v1, all_89_8) = v4 & in(v0, all_89_8) = v3 & $i(v6) & (
% 26.92/4.48 | | | | | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0)))
% 26.92/4.48 | | | | |
% 26.92/4.48 | | | | | ALPHA: (84) implies:
% 26.92/4.48 | | | | | (85) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.48 | | | | | (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.92/4.48 | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ?
% 26.92/4.48 | | | | | [v7: any] : (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) =
% 26.92/4.48 | | | | | v7 & in(v2, all_41_2) = v5 & in(v1, all_89_8) = v4 &
% 26.92/4.48 | | | | | in(v0, all_89_8) = v3 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 =
% 26.92/4.48 | | | | | 0) | v7 = 0 | v5 = 0)))
% 26.92/4.49 | | | | | (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 26.92/4.49 | | | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 26.92/4.49 | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ?
% 26.92/4.49 | | | | | [v7: any] : (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) =
% 26.92/4.49 | | | | | v6 & in(v2, all_41_2) = v7 & in(v1, all_89_8) = v4 &
% 26.92/4.49 | | | | | in(v0, all_89_8) = v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 =
% 26.92/4.49 | | | | | 0) | v7 = 0 | v6 = 0)))
% 26.92/4.49 | | | | |
% 26.92/4.49 | | | | | BETA: splitting (81) gives:
% 26.92/4.49 | | | | |
% 26.92/4.49 | | | | | Case 1:
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | (87) all_41_0 = 0
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | REDUCE: (18), (87) imply:
% 26.92/4.49 | | | | | | (88) $false
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | CLOSE: (88) is inconsistent.
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | Case 2:
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | (89) all_93_4 = 0 & all_93_5 = 0 & ~ (all_93_0 = 0) & ~
% 26.92/4.49 | | | | | | (all_93_2 = 0) & ~ (all_93_6 = all_93_7) &
% 26.92/4.49 | | | | | | ordered_pair(all_93_6, all_93_7) = all_93_1 &
% 26.92/4.49 | | | | | | ordered_pair(all_93_7, all_93_6) = all_93_3 & in(all_93_1,
% 26.92/4.49 | | | | | | all_41_1) = all_93_0 & in(all_93_3, all_41_1) = all_93_2 &
% 26.92/4.49 | | | | | | in(all_93_6, all_93_8) = 0 & in(all_93_7, all_93_8) = 0 &
% 26.92/4.49 | | | | | | $i(all_93_1) & $i(all_93_3)
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | ALPHA: (89) implies:
% 26.92/4.49 | | | | | | (90) ~ (all_93_6 = all_93_7)
% 26.92/4.49 | | | | | | (91) ~ (all_93_2 = 0)
% 26.92/4.49 | | | | | | (92) ~ (all_93_0 = 0)
% 26.92/4.49 | | | | | | (93) $i(all_93_3)
% 26.92/4.49 | | | | | | (94) $i(all_93_1)
% 26.92/4.49 | | | | | | (95) in(all_93_7, all_93_8) = 0
% 26.92/4.49 | | | | | | (96) in(all_93_6, all_93_8) = 0
% 26.92/4.49 | | | | | | (97) in(all_93_3, all_41_1) = all_93_2
% 26.92/4.49 | | | | | | (98) in(all_93_1, all_41_1) = all_93_0
% 26.92/4.49 | | | | | | (99) ordered_pair(all_93_7, all_93_6) = all_93_3
% 26.92/4.49 | | | | | | (100) ordered_pair(all_93_6, all_93_7) = all_93_1
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (t16_wellord1) with all_93_3, all_41_3,
% 26.92/4.49 | | | | | | all_41_2, all_41_1, all_93_2, simplifying with (19),
% 26.92/4.49 | | | | | | (20), (23), (93), (97) gives:
% 26.92/4.49 | | | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 26.92/4.49 | | | | | | (cartesian_product2(all_41_3, all_41_3) = v2 &
% 26.92/4.49 | | | | | | relation(all_41_2) = v0 & in(all_93_3, v2) = v3 &
% 26.92/4.49 | | | | | | in(all_93_3, all_41_2) = v1 & $i(v2) & ( ~ (v0 = 0) | ((
% 26.92/4.49 | | | | | | ~ (v3 = 0) | ~ (v1 = 0) | all_93_2 = 0) & ( ~
% 26.92/4.49 | | | | | | (all_93_2 = 0) | (v3 = 0 & v1 = 0)))))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (t16_wellord1) with all_93_1, all_41_3,
% 26.92/4.49 | | | | | | all_41_2, all_41_1, all_93_0, simplifying with (19),
% 26.92/4.49 | | | | | | (20), (23), (94), (98) gives:
% 26.92/4.49 | | | | | | (102) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 26.92/4.49 | | | | | | (cartesian_product2(all_41_3, all_41_3) = v2 &
% 26.92/4.49 | | | | | | relation(all_41_2) = v0 & in(all_93_1, v2) = v3 &
% 26.92/4.49 | | | | | | in(all_93_1, all_41_2) = v1 & $i(v2) & ( ~ (v0 = 0) | ((
% 26.92/4.49 | | | | | | ~ (v3 = 0) | ~ (v1 = 0) | all_93_0 = 0) & ( ~
% 26.92/4.49 | | | | | | (all_93_0 = 0) | (v3 = 0 & v1 = 0)))))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (2) with all_41_2, all_55_0, simplifying
% 26.92/4.49 | | | | | | with (20), (42) gives:
% 26.92/4.49 | | | | | | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 26.92/4.49 | | | | | | (relation(all_41_2) = v0 & function(all_41_2) = v2 &
% 26.92/4.49 | | | | | | empty(all_41_2) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 26.92/4.49 | | | | | | (v0 = 0) | all_55_0 = 0))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (3) with all_53_0, all_41_2, all_41_1,
% 26.92/4.49 | | | | | | simplifying with (20), (38), (39) gives:
% 26.92/4.49 | | | | | | (104) set_intersection2(all_53_0, all_41_2) = all_41_1 &
% 26.92/4.49 | | | | | | $i(all_41_1)
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (86) with all_93_6, all_93_7, all_93_3,
% 26.92/4.49 | | | | | | simplifying with (54), (55), (99) gives:
% 26.92/4.49 | | | | | | (105) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.49 | | | | | | $i] : ? [v3: any] : ? [v4: any] :
% 26.92/4.49 | | | | | | (ordered_pair(all_93_6, all_93_7) = v2 & in(v2, all_41_2) =
% 26.92/4.49 | | | | | | v3 & in(all_93_3, all_41_2) = v4 & in(all_93_6, all_89_8)
% 26.92/4.49 | | | | | | = v0 & in(all_93_7, all_89_8) = v1 & $i(v2) & ( ~ (v1 =
% 26.92/4.49 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v3 = 0))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (77) with all_93_6, all_93_7, all_93_3,
% 26.92/4.49 | | | | | | simplifying with (54), (55), (99) gives:
% 26.92/4.49 | | | | | | (106) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.49 | | | | | | $i] : ? [v3: any] : ? [v4: any] :
% 26.92/4.49 | | | | | | (ordered_pair(all_93_6, all_93_7) = v2 & in(v2, all_41_2) =
% 26.92/4.49 | | | | | | v3 & in(all_93_3, all_41_2) = v4 & in(all_93_6, all_83_2)
% 26.92/4.49 | | | | | | = v0 & in(all_93_7, all_83_2) = v1 & $i(v2) & ( ~ (v1 =
% 26.92/4.49 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v3 = 0))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (85) with all_93_7, all_93_6, all_93_3,
% 26.92/4.49 | | | | | | simplifying with (54), (55), (99) gives:
% 26.92/4.49 | | | | | | (107) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.49 | | | | | | any] : ? [v3: $i] : ? [v4: any] :
% 26.92/4.49 | | | | | | (ordered_pair(all_93_6, all_93_7) = v3 & in(v3, all_41_2) =
% 26.92/4.49 | | | | | | v4 & in(all_93_3, all_41_2) = v2 & in(all_93_6, all_89_8)
% 26.92/4.49 | | | | | | = v1 & in(all_93_7, all_89_8) = v0 & $i(v3) & ( ~ (v1 =
% 26.92/4.49 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v2 = 0))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (76) with all_93_7, all_93_6, all_93_3,
% 26.92/4.49 | | | | | | simplifying with (54), (55), (99) gives:
% 26.92/4.49 | | | | | | (108) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.49 | | | | | | any] : ? [v3: $i] : ? [v4: any] :
% 26.92/4.49 | | | | | | (ordered_pair(all_93_6, all_93_7) = v3 & in(v3, all_41_2) =
% 26.92/4.49 | | | | | | v4 & in(all_93_3, all_41_2) = v2 & in(all_93_6, all_83_2)
% 26.92/4.49 | | | | | | = v1 & in(all_93_7, all_83_2) = v0 & $i(v3) & ( ~ (v1 =
% 26.92/4.49 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v2 = 0))
% 26.92/4.49 | | | | | |
% 26.92/4.49 | | | | | | GROUND_INST: instantiating (86) with all_93_7, all_93_6, all_93_1,
% 26.92/4.49 | | | | | | simplifying with (54), (55), (100) gives:
% 26.92/4.50 | | | | | | (109) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.50 | | | | | | $i] : ? [v3: any] : ? [v4: any] :
% 26.92/4.50 | | | | | | (ordered_pair(all_93_7, all_93_6) = v2 & in(v2, all_41_2) =
% 26.92/4.50 | | | | | | v3 & in(all_93_1, all_41_2) = v4 & in(all_93_6, all_89_8)
% 26.92/4.50 | | | | | | = v1 & in(all_93_7, all_89_8) = v0 & $i(v2) & ( ~ (v1 =
% 26.92/4.50 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v3 = 0))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (77) with all_93_7, all_93_6, all_93_1,
% 26.92/4.50 | | | | | | simplifying with (54), (55), (100) gives:
% 26.92/4.50 | | | | | | (110) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.50 | | | | | | $i] : ? [v3: any] : ? [v4: any] :
% 26.92/4.50 | | | | | | (ordered_pair(all_93_7, all_93_6) = v2 & in(v2, all_41_2) =
% 26.92/4.50 | | | | | | v3 & in(all_93_1, all_41_2) = v4 & in(all_93_6, all_83_2)
% 26.92/4.50 | | | | | | = v1 & in(all_93_7, all_83_2) = v0 & $i(v2) & ( ~ (v1 =
% 26.92/4.50 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v3 = 0))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (85) with all_93_6, all_93_7, all_93_1,
% 26.92/4.50 | | | | | | simplifying with (54), (55), (100) gives:
% 26.92/4.50 | | | | | | (111) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.50 | | | | | | any] : ? [v3: $i] : ? [v4: any] :
% 26.92/4.50 | | | | | | (ordered_pair(all_93_7, all_93_6) = v3 & in(v3, all_41_2) =
% 26.92/4.50 | | | | | | v4 & in(all_93_1, all_41_2) = v2 & in(all_93_6, all_89_8)
% 26.92/4.50 | | | | | | = v0 & in(all_93_7, all_89_8) = v1 & $i(v3) & ( ~ (v1 =
% 26.92/4.50 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v2 = 0))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (76) with all_93_6, all_93_7, all_93_1,
% 26.92/4.50 | | | | | | simplifying with (54), (55), (100) gives:
% 26.92/4.50 | | | | | | (112) all_93_6 = all_93_7 | ? [v0: any] : ? [v1: any] : ? [v2:
% 26.92/4.50 | | | | | | any] : ? [v3: $i] : ? [v4: any] :
% 26.92/4.50 | | | | | | (ordered_pair(all_93_7, all_93_6) = v3 & in(v3, all_41_2) =
% 26.92/4.50 | | | | | | v4 & in(all_93_1, all_41_2) = v2 & in(all_93_6, all_83_2)
% 26.92/4.50 | | | | | | = v0 & in(all_93_7, all_83_2) = v1 & $i(v3) & ( ~ (v1 =
% 26.92/4.50 | | | | | | 0) | ~ (v0 = 0) | v4 = 0 | v2 = 0))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (8) with all_41_2, all_77_2, simplifying
% 26.92/4.50 | | | | | | with (20), (44) gives:
% 26.92/4.50 | | | | | | (113) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 26.92/4.50 | | | | | | ? [v4: int] : ? [v5: int] : ? [v6: $i] : ? [v7: int] :
% 26.92/4.50 | | | | | | ? [v8: $i] : ? [v9: int] : (connected(all_41_2) = v1 &
% 26.92/4.50 | | | | | | relation(all_41_2) = v0 & $i(v3) & $i(v2) & ( ~ (v0 = 0)
% 26.92/4.50 | | | | | | | (( ~ (v1 = 0) | ( ! [v10: $i] : ! [v11: $i] : !
% 26.92/4.50 | | | | | | [v12: $i] : (v11 = v10 | ~ (ordered_pair(v11,
% 26.92/4.50 | | | | | | v10) = v12) | ~ $i(v11) | ~ $i(v10) | ?
% 26.92/4.50 | | | | | | [v13: any] : ? [v14: any] : ? [v15: $i] : ?
% 26.92/4.50 | | | | | | [v16: any] : ? [v17: any] : (ordered_pair(v10,
% 26.92/4.50 | | | | | | v11) = v15 & in(v15, all_41_2) = v16 &
% 26.92/4.50 | | | | | | in(v12, all_41_2) = v17 & in(v11, all_77_2) =
% 26.92/4.50 | | | | | | v14 & in(v10, all_77_2) = v13 & $i(v15) & ( ~
% 26.92/4.50 | | | | | | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v16 =
% 26.92/4.50 | | | | | | 0))) & ! [v10: $i] : ! [v11: $i] : !
% 26.92/4.50 | | | | | | [v12: $i] : (v11 = v10 | ~ (ordered_pair(v10,
% 26.92/4.50 | | | | | | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ?
% 26.92/4.50 | | | | | | [v13: any] : ? [v14: any] : ? [v15: any] : ?
% 26.92/4.50 | | | | | | [v16: $i] : ? [v17: any] : (ordered_pair(v11,
% 26.92/4.50 | | | | | | v10) = v16 & in(v16, all_41_2) = v17 &
% 26.92/4.50 | | | | | | in(v12, all_41_2) = v15 & in(v11, all_77_2) =
% 26.92/4.50 | | | | | | v14 & in(v10, all_77_2) = v13 & $i(v16) & ( ~
% 26.92/4.50 | | | | | | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v15 =
% 26.92/4.50 | | | | | | 0))))) & (v1 = 0 | (v5 = 0 & v4 = 0 & ~
% 26.92/4.50 | | | | | | (v9 = 0) & ~ (v7 = 0) & ~ (v3 = v2) &
% 26.92/4.50 | | | | | | ordered_pair(v3, v2) = v8 & ordered_pair(v2, v3)
% 26.92/4.50 | | | | | | = v6 & in(v8, all_41_2) = v9 & in(v6, all_41_2) =
% 26.92/4.50 | | | | | | v7 & in(v3, all_77_2) = 0 & in(v2, all_77_2) = 0
% 26.92/4.50 | | | | | | & $i(v8) & $i(v6))))))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (t19_wellord1) with all_93_6, all_41_3,
% 26.92/4.50 | | | | | | all_41_2, all_41_1, all_93_8, simplifying with (19),
% 26.92/4.50 | | | | | | (20), (23), (55), (57), (96) gives:
% 26.92/4.50 | | | | | | (114) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] :
% 26.92/4.50 | | | | | | (relation_field(all_41_2) = v1 & relation(all_41_2) = v0 &
% 26.92/4.50 | | | | | | in(all_93_6, v1) = v2 & in(all_93_6, all_41_3) = v3 &
% 26.92/4.50 | | | | | | $i(v1) & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (t19_wellord1) with all_93_7, all_41_3,
% 26.92/4.50 | | | | | | all_41_2, all_41_1, all_93_8, simplifying with (19),
% 26.92/4.50 | | | | | | (20), (23), (54), (57), (95) gives:
% 26.92/4.50 | | | | | | (115) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] :
% 26.92/4.50 | | | | | | (relation_field(all_41_2) = v1 & relation(all_41_2) = v0 &
% 26.92/4.50 | | | | | | in(all_93_7, v1) = v2 & in(all_93_7, all_41_3) = v3 &
% 26.92/4.50 | | | | | | $i(v1) & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 26.92/4.50 | | | | | |
% 26.92/4.50 | | | | | | GROUND_INST: instantiating (8) with all_41_1, all_93_8, simplifying
% 26.92/4.50 | | | | | | with (21), (57) gives:
% 27.08/4.50 | | | | | | (116) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 27.08/4.50 | | | | | | ? [v4: int] : ? [v5: int] : ? [v6: $i] : ? [v7: int] :
% 27.08/4.50 | | | | | | ? [v8: $i] : ? [v9: int] : (connected(all_41_1) = v1 &
% 27.08/4.50 | | | | | | relation(all_41_1) = v0 & $i(v3) & $i(v2) & ( ~ (v0 = 0)
% 27.08/4.50 | | | | | | | (( ~ (v1 = 0) | ( ! [v10: $i] : ! [v11: $i] : !
% 27.08/4.50 | | | | | | [v12: $i] : (v11 = v10 | ~ (ordered_pair(v11,
% 27.08/4.50 | | | | | | v10) = v12) | ~ $i(v11) | ~ $i(v10) | ?
% 27.08/4.50 | | | | | | [v13: any] : ? [v14: any] : ? [v15: $i] : ?
% 27.08/4.50 | | | | | | [v16: any] : ? [v17: any] : (ordered_pair(v10,
% 27.08/4.50 | | | | | | v11) = v15 & in(v15, all_41_1) = v16 &
% 27.08/4.50 | | | | | | in(v12, all_41_1) = v17 & in(v11, all_93_8) =
% 27.08/4.50 | | | | | | v14 & in(v10, all_93_8) = v13 & $i(v15) & ( ~
% 27.08/4.50 | | | | | | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v16 =
% 27.08/4.50 | | | | | | 0))) & ! [v10: $i] : ! [v11: $i] : !
% 27.08/4.50 | | | | | | [v12: $i] : (v11 = v10 | ~ (ordered_pair(v10,
% 27.08/4.50 | | | | | | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ?
% 27.08/4.50 | | | | | | [v13: any] : ? [v14: any] : ? [v15: any] : ?
% 27.08/4.50 | | | | | | [v16: $i] : ? [v17: any] : (ordered_pair(v11,
% 27.08/4.50 | | | | | | v10) = v16 & in(v16, all_41_1) = v17 &
% 27.08/4.50 | | | | | | in(v12, all_41_1) = v15 & in(v11, all_93_8) =
% 27.08/4.50 | | | | | | v14 & in(v10, all_93_8) = v13 & $i(v16) & ( ~
% 27.08/4.50 | | | | | | (v14 = 0) | ~ (v13 = 0) | v17 = 0 | v15 =
% 27.08/4.50 | | | | | | 0))))) & (v1 = 0 | (v5 = 0 & v4 = 0 & ~
% 27.08/4.50 | | | | | | (v9 = 0) & ~ (v7 = 0) & ~ (v3 = v2) &
% 27.08/4.50 | | | | | | ordered_pair(v3, v2) = v8 & ordered_pair(v2, v3)
% 27.08/4.50 | | | | | | = v6 & in(v8, all_41_1) = v9 & in(v6, all_41_1) =
% 27.08/4.50 | | | | | | v7 & in(v3, all_93_8) = 0 & in(v2, all_93_8) = 0
% 27.08/4.50 | | | | | | & $i(v8) & $i(v6))))))
% 27.08/4.50 | | | | | |
% 27.08/4.50 | | | | | | GROUND_INST: instantiating (5) with all_41_1, all_93_8, simplifying
% 27.08/4.50 | | | | | | with (21), (57) gives:
% 27.08/4.51 | | | | | | (117) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 27.08/4.51 | | | | | | (relation_dom(all_41_1) = v1 & relation_rng(all_41_1) = v2
% 27.08/4.51 | | | | | | & set_union2(v1, v2) = v3 & relation(all_41_1) = v0 &
% 27.08/4.51 | | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = all_93_8))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (103) with fresh symbols all_183_0, all_183_1,
% 27.08/4.51 | | | | | | all_183_2 gives:
% 27.08/4.51 | | | | | | (118) relation(all_41_2) = all_183_2 & function(all_41_2) =
% 27.08/4.51 | | | | | | all_183_0 & empty(all_41_2) = all_183_1 & ( ~ (all_183_0 =
% 27.08/4.51 | | | | | | 0) | ~ (all_183_1 = 0) | ~ (all_183_2 = 0) | all_55_0
% 27.08/4.51 | | | | | | = 0)
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (118) implies:
% 27.08/4.51 | | | | | | (119) relation(all_41_2) = all_183_2
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (115) with fresh symbols all_187_0, all_187_1,
% 27.08/4.51 | | | | | | all_187_2, all_187_3 gives:
% 27.08/4.51 | | | | | | (120) relation_field(all_41_2) = all_187_2 & relation(all_41_2) =
% 27.08/4.51 | | | | | | all_187_3 & in(all_93_7, all_187_2) = all_187_1 &
% 27.08/4.51 | | | | | | in(all_93_7, all_41_3) = all_187_0 & $i(all_187_2) & ( ~
% 27.08/4.51 | | | | | | (all_187_3 = 0) | (all_187_0 = 0 & all_187_1 = 0))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (120) implies:
% 27.08/4.51 | | | | | | (121) in(all_93_7, all_41_3) = all_187_0
% 27.08/4.51 | | | | | | (122) in(all_93_7, all_187_2) = all_187_1
% 27.08/4.51 | | | | | | (123) relation(all_41_2) = all_187_3
% 27.08/4.51 | | | | | | (124) relation_field(all_41_2) = all_187_2
% 27.08/4.51 | | | | | | (125) ~ (all_187_3 = 0) | (all_187_0 = 0 & all_187_1 = 0)
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (114) with fresh symbols all_189_0, all_189_1,
% 27.08/4.51 | | | | | | all_189_2, all_189_3 gives:
% 27.08/4.51 | | | | | | (126) relation_field(all_41_2) = all_189_2 & relation(all_41_2) =
% 27.08/4.51 | | | | | | all_189_3 & in(all_93_6, all_189_2) = all_189_1 &
% 27.08/4.51 | | | | | | in(all_93_6, all_41_3) = all_189_0 & $i(all_189_2) & ( ~
% 27.08/4.51 | | | | | | (all_189_3 = 0) | (all_189_0 = 0 & all_189_1 = 0))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (126) implies:
% 27.08/4.51 | | | | | | (127) in(all_93_6, all_41_3) = all_189_0
% 27.08/4.51 | | | | | | (128) in(all_93_6, all_189_2) = all_189_1
% 27.08/4.51 | | | | | | (129) relation(all_41_2) = all_189_3
% 27.08/4.51 | | | | | | (130) relation_field(all_41_2) = all_189_2
% 27.08/4.51 | | | | | | (131) ~ (all_189_3 = 0) | (all_189_0 = 0 & all_189_1 = 0)
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (117) with fresh symbols all_191_0, all_191_1,
% 27.08/4.51 | | | | | | all_191_2, all_191_3 gives:
% 27.08/4.51 | | | | | | (132) relation_dom(all_41_1) = all_191_2 & relation_rng(all_41_1)
% 27.08/4.51 | | | | | | = all_191_1 & set_union2(all_191_2, all_191_1) = all_191_0
% 27.08/4.51 | | | | | | & relation(all_41_1) = all_191_3 & $i(all_191_0) &
% 27.08/4.51 | | | | | | $i(all_191_1) & $i(all_191_2) & ( ~ (all_191_3 = 0) |
% 27.08/4.51 | | | | | | all_191_0 = all_93_8)
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (132) implies:
% 27.08/4.51 | | | | | | (133) relation(all_41_1) = all_191_3
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (102) with fresh symbols all_193_0, all_193_1,
% 27.08/4.51 | | | | | | all_193_2, all_193_3 gives:
% 27.08/4.51 | | | | | | (134) cartesian_product2(all_41_3, all_41_3) = all_193_1 &
% 27.08/4.51 | | | | | | relation(all_41_2) = all_193_3 & in(all_93_1, all_193_1) =
% 27.08/4.51 | | | | | | all_193_0 & in(all_93_1, all_41_2) = all_193_2 &
% 27.08/4.51 | | | | | | $i(all_193_1) & ( ~ (all_193_3 = 0) | (( ~ (all_193_0 = 0)
% 27.08/4.51 | | | | | | | ~ (all_193_2 = 0) | all_93_0 = 0) & ( ~ (all_93_0
% 27.08/4.51 | | | | | | = 0) | (all_193_0 = 0 & all_193_2 = 0))))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (134) implies:
% 27.08/4.51 | | | | | | (135) in(all_93_1, all_41_2) = all_193_2
% 27.08/4.51 | | | | | | (136) in(all_93_1, all_193_1) = all_193_0
% 27.08/4.51 | | | | | | (137) relation(all_41_2) = all_193_3
% 27.08/4.51 | | | | | | (138) cartesian_product2(all_41_3, all_41_3) = all_193_1
% 27.08/4.51 | | | | | | (139) ~ (all_193_3 = 0) | (( ~ (all_193_0 = 0) | ~ (all_193_2 =
% 27.08/4.51 | | | | | | 0) | all_93_0 = 0) & ( ~ (all_93_0 = 0) | (all_193_0
% 27.08/4.51 | | | | | | = 0 & all_193_2 = 0)))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (101) with fresh symbols all_195_0, all_195_1,
% 27.08/4.51 | | | | | | all_195_2, all_195_3 gives:
% 27.08/4.51 | | | | | | (140) cartesian_product2(all_41_3, all_41_3) = all_195_1 &
% 27.08/4.51 | | | | | | relation(all_41_2) = all_195_3 & in(all_93_3, all_195_1) =
% 27.08/4.51 | | | | | | all_195_0 & in(all_93_3, all_41_2) = all_195_2 &
% 27.08/4.51 | | | | | | $i(all_195_1) & ( ~ (all_195_3 = 0) | (( ~ (all_195_0 = 0)
% 27.08/4.51 | | | | | | | ~ (all_195_2 = 0) | all_93_2 = 0) & ( ~ (all_93_2
% 27.08/4.51 | | | | | | = 0) | (all_195_0 = 0 & all_195_2 = 0))))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (140) implies:
% 27.08/4.51 | | | | | | (141) in(all_93_3, all_41_2) = all_195_2
% 27.08/4.51 | | | | | | (142) in(all_93_3, all_195_1) = all_195_0
% 27.08/4.51 | | | | | | (143) relation(all_41_2) = all_195_3
% 27.08/4.51 | | | | | | (144) cartesian_product2(all_41_3, all_41_3) = all_195_1
% 27.08/4.51 | | | | | | (145) ~ (all_195_3 = 0) | (( ~ (all_195_0 = 0) | ~ (all_195_2 =
% 27.08/4.51 | | | | | | 0) | all_93_2 = 0) & ( ~ (all_93_2 = 0) | (all_195_0
% 27.08/4.51 | | | | | | = 0 & all_195_2 = 0)))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | DELTA: instantiating (116) with fresh symbols all_199_0, all_199_1,
% 27.08/4.51 | | | | | | all_199_2, all_199_3, all_199_4, all_199_5, all_199_6,
% 27.08/4.51 | | | | | | all_199_7, all_199_8, all_199_9 gives:
% 27.08/4.51 | | | | | | (146) connected(all_41_1) = all_199_8 & relation(all_41_1) =
% 27.08/4.51 | | | | | | all_199_9 & $i(all_199_6) & $i(all_199_7) & ( ~ (all_199_9
% 27.08/4.51 | | | | | | = 0) | (( ~ (all_199_8 = 0) | ( ! [v0: $i] : ! [v1:
% 27.08/4.51 | | | | | | $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.08/4.51 | | | | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~
% 27.08/4.51 | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 27.08/4.51 | | | | | | $i] : ? [v6: any] : ? [v7: any] :
% 27.08/4.51 | | | | | | (ordered_pair(v0, v1) = v5 & in(v5, all_41_1) =
% 27.08/4.51 | | | | | | v6 & in(v2, all_41_1) = v7 & in(v1, all_93_8) =
% 27.08/4.51 | | | | | | v4 & in(v0, all_93_8) = v3 & $i(v5) & ( ~ (v4 =
% 27.08/4.51 | | | | | | 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0))) & !
% 27.08/4.51 | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 27.08/4.51 | | | | | | ~ (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~
% 27.08/4.51 | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 27.08/4.51 | | | | | | any] : ? [v6: $i] : ? [v7: any] :
% 27.08/4.51 | | | | | | (ordered_pair(v1, v0) = v6 & in(v6, all_41_1) =
% 27.08/4.51 | | | | | | v7 & in(v2, all_41_1) = v5 & in(v1, all_93_8) =
% 27.08/4.51 | | | | | | v4 & in(v0, all_93_8) = v3 & $i(v6) & ( ~ (v4 =
% 27.08/4.51 | | | | | | 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))) &
% 27.08/4.51 | | | | | | (all_199_8 = 0 | (all_199_4 = 0 & all_199_5 = 0 & ~
% 27.08/4.51 | | | | | | (all_199_0 = 0) & ~ (all_199_2 = 0) & ~
% 27.08/4.51 | | | | | | (all_199_6 = all_199_7) & ordered_pair(all_199_6,
% 27.08/4.51 | | | | | | all_199_7) = all_199_1 & ordered_pair(all_199_7,
% 27.08/4.51 | | | | | | all_199_6) = all_199_3 & in(all_199_1, all_41_1)
% 27.08/4.51 | | | | | | = all_199_0 & in(all_199_3, all_41_1) = all_199_2 &
% 27.08/4.51 | | | | | | in(all_199_6, all_93_8) = 0 & in(all_199_7,
% 27.08/4.51 | | | | | | all_93_8) = 0 & $i(all_199_1) & $i(all_199_3)))))
% 27.08/4.51 | | | | | |
% 27.08/4.51 | | | | | | ALPHA: (146) implies:
% 27.08/4.51 | | | | | | (147) relation(all_41_1) = all_199_9
% 27.08/4.51 | | | | | | (148) connected(all_41_1) = all_199_8
% 27.08/4.52 | | | | | | (149) ~ (all_199_9 = 0) | (( ~ (all_199_8 = 0) | ( ! [v0: $i] :
% 27.08/4.52 | | | | | | ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.08/4.52 | | | | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 27.08/4.52 | | | | | | | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ?
% 27.08/4.52 | | | | | | [v6: any] : ? [v7: any] : (ordered_pair(v0, v1) =
% 27.08/4.52 | | | | | | v5 & in(v5, all_41_1) = v6 & in(v2, all_41_1) =
% 27.08/4.52 | | | | | | v7 & in(v1, all_93_8) = v4 & in(v0, all_93_8) =
% 27.08/4.52 | | | | | | v3 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0
% 27.08/4.52 | | | | | | | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : !
% 27.08/4.52 | | | | | | [v2: $i] : (v1 = v0 | ~ (ordered_pair(v0, v1) = v2)
% 27.08/4.52 | | | | | | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 27.08/4.52 | | | | | | any] : ? [v5: any] : ? [v6: $i] : ? [v7: any]
% 27.08/4.52 | | | | | | : (ordered_pair(v1, v0) = v6 & in(v6, all_41_1) =
% 27.08/4.52 | | | | | | v7 & in(v2, all_41_1) = v5 & in(v1, all_93_8) =
% 27.08/4.52 | | | | | | v4 & in(v0, all_93_8) = v3 & $i(v6) & ( ~ (v4 =
% 27.08/4.52 | | | | | | 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))) &
% 27.08/4.52 | | | | | | (all_199_8 = 0 | (all_199_4 = 0 & all_199_5 = 0 & ~
% 27.08/4.52 | | | | | | (all_199_0 = 0) & ~ (all_199_2 = 0) & ~ (all_199_6
% 27.08/4.52 | | | | | | = all_199_7) & ordered_pair(all_199_6, all_199_7) =
% 27.08/4.52 | | | | | | all_199_1 & ordered_pair(all_199_7, all_199_6) =
% 27.08/4.52 | | | | | | all_199_3 & in(all_199_1, all_41_1) = all_199_0 &
% 27.08/4.52 | | | | | | in(all_199_3, all_41_1) = all_199_2 & in(all_199_6,
% 27.08/4.52 | | | | | | all_93_8) = 0 & in(all_199_7, all_93_8) = 0 &
% 27.08/4.52 | | | | | | $i(all_199_1) & $i(all_199_3))))
% 27.08/4.52 | | | | | |
% 27.08/4.52 | | | | | | DELTA: instantiating (113) with fresh symbols all_201_0, all_201_1,
% 27.08/4.52 | | | | | | all_201_2, all_201_3, all_201_4, all_201_5, all_201_6,
% 27.08/4.52 | | | | | | all_201_7, all_201_8, all_201_9 gives:
% 27.08/4.52 | | | | | | (150) connected(all_41_2) = all_201_8 & relation(all_41_2) =
% 27.08/4.52 | | | | | | all_201_9 & $i(all_201_6) & $i(all_201_7) & ( ~ (all_201_9
% 27.08/4.52 | | | | | | = 0) | (( ~ (all_201_8 = 0) | ( ! [v0: $i] : ! [v1:
% 27.08/4.52 | | | | | | $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.08/4.52 | | | | | | (ordered_pair(v1, v0) = v2) | ~ $i(v1) | ~
% 27.08/4.52 | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 27.08/4.52 | | | | | | $i] : ? [v6: any] : ? [v7: any] :
% 27.08/4.52 | | | | | | (ordered_pair(v0, v1) = v5 & in(v5, all_41_2) =
% 27.08/4.52 | | | | | | v6 & in(v2, all_41_2) = v7 & in(v1, all_77_2) =
% 27.08/4.52 | | | | | | v4 & in(v0, all_77_2) = v3 & $i(v5) & ( ~ (v4 =
% 27.08/4.52 | | | | | | 0) | ~ (v3 = 0) | v7 = 0 | v6 = 0))) & !
% 27.08/4.52 | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 27.08/4.52 | | | | | | ~ (ordered_pair(v0, v1) = v2) | ~ $i(v1) | ~
% 27.08/4.52 | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 27.08/4.52 | | | | | | any] : ? [v6: $i] : ? [v7: any] :
% 27.08/4.52 | | | | | | (ordered_pair(v1, v0) = v6 & in(v6, all_41_2) =
% 27.08/4.52 | | | | | | v7 & in(v2, all_41_2) = v5 & in(v1, all_77_2) =
% 27.08/4.52 | | | | | | v4 & in(v0, all_77_2) = v3 & $i(v6) & ( ~ (v4 =
% 27.08/4.52 | | | | | | 0) | ~ (v3 = 0) | v7 = 0 | v5 = 0))))) &
% 27.08/4.52 | | | | | | (all_201_8 = 0 | (all_201_4 = 0 & all_201_5 = 0 & ~
% 27.08/4.52 | | | | | | (all_201_0 = 0) & ~ (all_201_2 = 0) & ~
% 27.08/4.52 | | | | | | (all_201_6 = all_201_7) & ordered_pair(all_201_6,
% 27.08/4.52 | | | | | | all_201_7) = all_201_1 & ordered_pair(all_201_7,
% 27.08/4.52 | | | | | | all_201_6) = all_201_3 & in(all_201_1, all_41_2)
% 27.08/4.52 | | | | | | = all_201_0 & in(all_201_3, all_41_2) = all_201_2 &
% 27.08/4.52 | | | | | | in(all_201_6, all_77_2) = 0 & in(all_201_7,
% 27.08/4.52 | | | | | | all_77_2) = 0 & $i(all_201_1) & $i(all_201_3)))))
% 27.08/4.52 | | | | | |
% 27.08/4.52 | | | | | | ALPHA: (150) implies:
% 27.08/4.52 | | | | | | (151) relation(all_41_2) = all_201_9
% 27.08/4.52 | | | | | |
% 27.08/4.52 | | | | | | BETA: splitting (108) gives:
% 27.08/4.52 | | | | | |
% 27.08/4.52 | | | | | | Case 1:
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | (152) all_93_6 = all_93_7
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | REDUCE: (90), (152) imply:
% 27.08/4.52 | | | | | | | (153) $false
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | CLOSE: (153) is inconsistent.
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | Case 2:
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | (154) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 27.08/4.52 | | | | | | | : ? [v4: any] : (ordered_pair(all_93_6, all_93_7) = v3 &
% 27.08/4.52 | | | | | | | in(v3, all_41_2) = v4 & in(all_93_3, all_41_2) = v2 &
% 27.08/4.52 | | | | | | | in(all_93_6, all_83_2) = v1 & in(all_93_7, all_83_2) =
% 27.08/4.52 | | | | | | | v0 & $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 | v2
% 27.08/4.52 | | | | | | | = 0))
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | DELTA: instantiating (154) with fresh symbols all_219_0,
% 27.08/4.52 | | | | | | | all_219_1, all_219_2, all_219_3, all_219_4 gives:
% 27.08/4.52 | | | | | | | (155) ordered_pair(all_93_6, all_93_7) = all_219_1 &
% 27.08/4.52 | | | | | | | in(all_219_1, all_41_2) = all_219_0 & in(all_93_3,
% 27.08/4.52 | | | | | | | all_41_2) = all_219_2 & in(all_93_6, all_83_2) =
% 27.08/4.52 | | | | | | | all_219_3 & in(all_93_7, all_83_2) = all_219_4 &
% 27.08/4.52 | | | | | | | $i(all_219_1) & ( ~ (all_219_3 = 0) | ~ (all_219_4 = 0)
% 27.08/4.52 | | | | | | | | all_219_0 = 0 | all_219_2 = 0)
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | ALPHA: (155) implies:
% 27.08/4.52 | | | | | | | (156) in(all_93_7, all_83_2) = all_219_4
% 27.08/4.52 | | | | | | | (157) in(all_93_6, all_83_2) = all_219_3
% 27.08/4.52 | | | | | | | (158) in(all_219_1, all_41_2) = all_219_0
% 27.08/4.52 | | | | | | | (159) ordered_pair(all_93_6, all_93_7) = all_219_1
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | REDUCE: (66), (157) imply:
% 27.08/4.52 | | | | | | | (160) in(all_93_6, all_77_2) = all_219_3
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | REDUCE: (66), (156) imply:
% 27.08/4.52 | | | | | | | (161) in(all_93_7, all_77_2) = all_219_4
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | BETA: splitting (110) gives:
% 27.08/4.52 | | | | | | |
% 27.08/4.52 | | | | | | | Case 1:
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | (162) all_93_6 = all_93_7
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | REDUCE: (90), (162) imply:
% 27.08/4.52 | | | | | | | | (163) $false
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | CLOSE: (163) is inconsistent.
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | Case 2:
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | (164) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 27.08/4.52 | | | | | | | | any] : ? [v4: any] : (ordered_pair(all_93_7,
% 27.08/4.52 | | | | | | | | all_93_6) = v2 & in(v2, all_41_2) = v3 &
% 27.08/4.52 | | | | | | | | in(all_93_1, all_41_2) = v4 & in(all_93_6, all_83_2)
% 27.08/4.52 | | | | | | | | = v1 & in(all_93_7, all_83_2) = v0 & $i(v2) & ( ~ (v1
% 27.08/4.52 | | | | | | | | = 0) | ~ (v0 = 0) | v4 = 0 | v3 = 0))
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | DELTA: instantiating (164) with fresh symbols all_224_0,
% 27.08/4.52 | | | | | | | | all_224_1, all_224_2, all_224_3, all_224_4 gives:
% 27.08/4.52 | | | | | | | | (165) ordered_pair(all_93_7, all_93_6) = all_224_2 &
% 27.08/4.52 | | | | | | | | in(all_224_2, all_41_2) = all_224_1 & in(all_93_1,
% 27.08/4.52 | | | | | | | | all_41_2) = all_224_0 & in(all_93_6, all_83_2) =
% 27.08/4.52 | | | | | | | | all_224_3 & in(all_93_7, all_83_2) = all_224_4 &
% 27.08/4.52 | | | | | | | | $i(all_224_2) & ( ~ (all_224_3 = 0) | ~ (all_224_4 =
% 27.08/4.52 | | | | | | | | 0) | all_224_0 = 0 | all_224_1 = 0)
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | ALPHA: (165) implies:
% 27.08/4.52 | | | | | | | | (166) in(all_93_7, all_83_2) = all_224_4
% 27.08/4.52 | | | | | | | | (167) in(all_93_6, all_83_2) = all_224_3
% 27.08/4.52 | | | | | | | | (168) in(all_93_1, all_41_2) = all_224_0
% 27.08/4.52 | | | | | | | | (169) ordered_pair(all_93_7, all_93_6) = all_224_2
% 27.08/4.52 | | | | | | | | (170) ~ (all_224_3 = 0) | ~ (all_224_4 = 0) | all_224_0 = 0
% 27.08/4.52 | | | | | | | | | all_224_1 = 0
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | REDUCE: (66), (167) imply:
% 27.08/4.52 | | | | | | | | (171) in(all_93_6, all_77_2) = all_224_3
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | REDUCE: (66), (166) imply:
% 27.08/4.52 | | | | | | | | (172) in(all_93_7, all_77_2) = all_224_4
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | BETA: splitting (106) gives:
% 27.08/4.52 | | | | | | | |
% 27.08/4.52 | | | | | | | | Case 1:
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | (173) all_93_6 = all_93_7
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | REDUCE: (90), (173) imply:
% 27.08/4.52 | | | | | | | | | (174) $false
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | CLOSE: (174) is inconsistent.
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | Case 2:
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | (175) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 27.08/4.52 | | | | | | | | | any] : ? [v4: any] : (ordered_pair(all_93_6,
% 27.08/4.52 | | | | | | | | | all_93_7) = v2 & in(v2, all_41_2) = v3 &
% 27.08/4.52 | | | | | | | | | in(all_93_3, all_41_2) = v4 & in(all_93_6,
% 27.08/4.52 | | | | | | | | | all_83_2) = v0 & in(all_93_7, all_83_2) = v1 &
% 27.08/4.52 | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 | v3 =
% 27.08/4.52 | | | | | | | | | 0))
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | DELTA: instantiating (175) with fresh symbols all_229_0,
% 27.08/4.52 | | | | | | | | | all_229_1, all_229_2, all_229_3, all_229_4 gives:
% 27.08/4.52 | | | | | | | | | (176) ordered_pair(all_93_6, all_93_7) = all_229_2 &
% 27.08/4.52 | | | | | | | | | in(all_229_2, all_41_2) = all_229_1 & in(all_93_3,
% 27.08/4.52 | | | | | | | | | all_41_2) = all_229_0 & in(all_93_6, all_83_2) =
% 27.08/4.52 | | | | | | | | | all_229_4 & in(all_93_7, all_83_2) = all_229_3 &
% 27.08/4.52 | | | | | | | | | $i(all_229_2) & ( ~ (all_229_3 = 0) | ~ (all_229_4 =
% 27.08/4.52 | | | | | | | | | 0) | all_229_0 = 0 | all_229_1 = 0)
% 27.08/4.52 | | | | | | | | |
% 27.08/4.52 | | | | | | | | | ALPHA: (176) implies:
% 27.08/4.53 | | | | | | | | | (177) in(all_93_7, all_83_2) = all_229_3
% 27.08/4.53 | | | | | | | | | (178) in(all_93_6, all_83_2) = all_229_4
% 27.08/4.53 | | | | | | | | | (179) in(all_229_2, all_41_2) = all_229_1
% 27.08/4.53 | | | | | | | | | (180) ordered_pair(all_93_6, all_93_7) = all_229_2
% 27.08/4.53 | | | | | | | | |
% 27.08/4.53 | | | | | | | | | REDUCE: (66), (178) imply:
% 27.08/4.53 | | | | | | | | | (181) in(all_93_6, all_77_2) = all_229_4
% 27.08/4.53 | | | | | | | | |
% 27.08/4.53 | | | | | | | | | REDUCE: (66), (177) imply:
% 27.08/4.53 | | | | | | | | | (182) in(all_93_7, all_77_2) = all_229_3
% 27.08/4.53 | | | | | | | | |
% 27.08/4.53 | | | | | | | | | BETA: splitting (105) gives:
% 27.08/4.53 | | | | | | | | |
% 27.08/4.53 | | | | | | | | | Case 1:
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | (183) all_93_6 = all_93_7
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | REDUCE: (90), (183) imply:
% 27.08/4.53 | | | | | | | | | | (184) $false
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | CLOSE: (184) is inconsistent.
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | Case 2:
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | (185) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 27.08/4.53 | | | | | | | | | | any] : ? [v4: any] : (ordered_pair(all_93_6,
% 27.08/4.53 | | | | | | | | | | all_93_7) = v2 & in(v2, all_41_2) = v3 &
% 27.08/4.53 | | | | | | | | | | in(all_93_3, all_41_2) = v4 & in(all_93_6,
% 27.08/4.53 | | | | | | | | | | all_89_8) = v0 & in(all_93_7, all_89_8) = v1 &
% 27.08/4.53 | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 | v3
% 27.08/4.53 | | | | | | | | | | = 0))
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | DELTA: instantiating (185) with fresh symbols all_234_0,
% 27.08/4.53 | | | | | | | | | | all_234_1, all_234_2, all_234_3, all_234_4 gives:
% 27.08/4.53 | | | | | | | | | | (186) ordered_pair(all_93_6, all_93_7) = all_234_2 &
% 27.08/4.53 | | | | | | | | | | in(all_234_2, all_41_2) = all_234_1 & in(all_93_3,
% 27.08/4.53 | | | | | | | | | | all_41_2) = all_234_0 & in(all_93_6, all_89_8) =
% 27.08/4.53 | | | | | | | | | | all_234_4 & in(all_93_7, all_89_8) = all_234_3 &
% 27.08/4.53 | | | | | | | | | | $i(all_234_2) & ( ~ (all_234_3 = 0) | ~ (all_234_4
% 27.08/4.53 | | | | | | | | | | = 0) | all_234_0 = 0 | all_234_1 = 0)
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | ALPHA: (186) implies:
% 27.08/4.53 | | | | | | | | | | (187) in(all_93_7, all_89_8) = all_234_3
% 27.08/4.53 | | | | | | | | | | (188) in(all_93_6, all_89_8) = all_234_4
% 27.08/4.53 | | | | | | | | | | (189) in(all_234_2, all_41_2) = all_234_1
% 27.08/4.53 | | | | | | | | | | (190) ordered_pair(all_93_6, all_93_7) = all_234_2
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | REDUCE: (63), (188) imply:
% 27.08/4.53 | | | | | | | | | | (191) in(all_93_6, all_77_2) = all_234_4
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | REDUCE: (63), (187) imply:
% 27.08/4.53 | | | | | | | | | | (192) in(all_93_7, all_77_2) = all_234_3
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | BETA: splitting (112) gives:
% 27.08/4.53 | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | Case 1:
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | (193) all_93_6 = all_93_7
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | REDUCE: (90), (193) imply:
% 27.08/4.53 | | | | | | | | | | | (194) $false
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | Case 2:
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | (195) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 27.08/4.53 | | | | | | | | | | | [v3: $i] : ? [v4: any] : (ordered_pair(all_93_7,
% 27.08/4.53 | | | | | | | | | | | all_93_6) = v3 & in(v3, all_41_2) = v4 &
% 27.08/4.53 | | | | | | | | | | | in(all_93_1, all_41_2) = v2 & in(all_93_6,
% 27.08/4.53 | | | | | | | | | | | all_83_2) = v0 & in(all_93_7, all_83_2) = v1 &
% 27.08/4.53 | | | | | | | | | | | $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 |
% 27.08/4.53 | | | | | | | | | | | v2 = 0))
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | DELTA: instantiating (195) with fresh symbols all_239_0,
% 27.08/4.53 | | | | | | | | | | | all_239_1, all_239_2, all_239_3, all_239_4 gives:
% 27.08/4.53 | | | | | | | | | | | (196) ordered_pair(all_93_7, all_93_6) = all_239_1 &
% 27.08/4.53 | | | | | | | | | | | in(all_239_1, all_41_2) = all_239_0 & in(all_93_1,
% 27.08/4.53 | | | | | | | | | | | all_41_2) = all_239_2 & in(all_93_6, all_83_2) =
% 27.08/4.53 | | | | | | | | | | | all_239_4 & in(all_93_7, all_83_2) = all_239_3 &
% 27.08/4.53 | | | | | | | | | | | $i(all_239_1) & ( ~ (all_239_3 = 0) | ~
% 27.08/4.53 | | | | | | | | | | | (all_239_4 = 0) | all_239_0 = 0 | all_239_2 = 0)
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | ALPHA: (196) implies:
% 27.08/4.53 | | | | | | | | | | | (197) in(all_93_7, all_83_2) = all_239_3
% 27.08/4.53 | | | | | | | | | | | (198) in(all_93_6, all_83_2) = all_239_4
% 27.08/4.53 | | | | | | | | | | | (199) in(all_93_1, all_41_2) = all_239_2
% 27.08/4.53 | | | | | | | | | | | (200) ordered_pair(all_93_7, all_93_6) = all_239_1
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | REDUCE: (66), (198) imply:
% 27.08/4.53 | | | | | | | | | | | (201) in(all_93_6, all_77_2) = all_239_4
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | REDUCE: (66), (197) imply:
% 27.08/4.53 | | | | | | | | | | | (202) in(all_93_7, all_77_2) = all_239_3
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | BETA: splitting (111) gives:
% 27.08/4.53 | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | Case 1:
% 27.08/4.53 | | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | | (203) all_93_6 = all_93_7
% 27.08/4.53 | | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | | REDUCE: (90), (203) imply:
% 27.08/4.53 | | | | | | | | | | | | (204) $false
% 27.08/4.53 | | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 27.08/4.53 | | | | | | | | | | | |
% 27.08/4.53 | | | | | | | | | | | Case 2:
% 27.08/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | (205) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 27.20/4.53 | | | | | | | | | | | | [v3: $i] : ? [v4: any] : (ordered_pair(all_93_7,
% 27.20/4.53 | | | | | | | | | | | | all_93_6) = v3 & in(v3, all_41_2) = v4 &
% 27.20/4.53 | | | | | | | | | | | | in(all_93_1, all_41_2) = v2 & in(all_93_6,
% 27.20/4.53 | | | | | | | | | | | | all_89_8) = v0 & in(all_93_7, all_89_8) = v1 &
% 27.20/4.53 | | | | | | | | | | | | $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 |
% 27.20/4.53 | | | | | | | | | | | | v2 = 0))
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | DELTA: instantiating (205) with fresh symbols all_244_0,
% 27.20/4.53 | | | | | | | | | | | | all_244_1, all_244_2, all_244_3, all_244_4 gives:
% 27.20/4.53 | | | | | | | | | | | | (206) ordered_pair(all_93_7, all_93_6) = all_244_1 &
% 27.20/4.53 | | | | | | | | | | | | in(all_244_1, all_41_2) = all_244_0 & in(all_93_1,
% 27.20/4.53 | | | | | | | | | | | | all_41_2) = all_244_2 & in(all_93_6, all_89_8) =
% 27.20/4.53 | | | | | | | | | | | | all_244_4 & in(all_93_7, all_89_8) = all_244_3 &
% 27.20/4.53 | | | | | | | | | | | | $i(all_244_1) & ( ~ (all_244_3 = 0) | ~
% 27.20/4.53 | | | | | | | | | | | | (all_244_4 = 0) | all_244_0 = 0 | all_244_2 = 0)
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | ALPHA: (206) implies:
% 27.20/4.53 | | | | | | | | | | | | (207) in(all_93_7, all_89_8) = all_244_3
% 27.20/4.53 | | | | | | | | | | | | (208) in(all_93_6, all_89_8) = all_244_4
% 27.20/4.53 | | | | | | | | | | | | (209) in(all_93_1, all_41_2) = all_244_2
% 27.20/4.53 | | | | | | | | | | | | (210) ordered_pair(all_93_7, all_93_6) = all_244_1
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | REDUCE: (63), (208) imply:
% 27.20/4.53 | | | | | | | | | | | | (211) in(all_93_6, all_77_2) = all_244_4
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | REDUCE: (63), (207) imply:
% 27.20/4.53 | | | | | | | | | | | | (212) in(all_93_7, all_77_2) = all_244_3
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | BETA: splitting (107) gives:
% 27.20/4.53 | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | Case 1:
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | (213) all_93_6 = all_93_7
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | REDUCE: (90), (213) imply:
% 27.20/4.53 | | | | | | | | | | | | | (214) $false
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | Case 2:
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | (215) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 27.20/4.53 | | | | | | | | | | | | | [v3: $i] : ? [v4: any] : (ordered_pair(all_93_6,
% 27.20/4.53 | | | | | | | | | | | | | all_93_7) = v3 & in(v3, all_41_2) = v4 &
% 27.20/4.53 | | | | | | | | | | | | | in(all_93_3, all_41_2) = v2 & in(all_93_6,
% 27.20/4.53 | | | | | | | | | | | | | all_89_8) = v1 & in(all_93_7, all_89_8) = v0 &
% 27.20/4.53 | | | | | | | | | | | | | $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 |
% 27.20/4.53 | | | | | | | | | | | | | v2 = 0))
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | DELTA: instantiating (215) with fresh symbols all_249_0,
% 27.20/4.53 | | | | | | | | | | | | | all_249_1, all_249_2, all_249_3, all_249_4 gives:
% 27.20/4.53 | | | | | | | | | | | | | (216) ordered_pair(all_93_6, all_93_7) = all_249_1 &
% 27.20/4.53 | | | | | | | | | | | | | in(all_249_1, all_41_2) = all_249_0 & in(all_93_3,
% 27.20/4.53 | | | | | | | | | | | | | all_41_2) = all_249_2 & in(all_93_6, all_89_8) =
% 27.20/4.53 | | | | | | | | | | | | | all_249_3 & in(all_93_7, all_89_8) = all_249_4 &
% 27.20/4.53 | | | | | | | | | | | | | $i(all_249_1) & ( ~ (all_249_3 = 0) | ~
% 27.20/4.53 | | | | | | | | | | | | | (all_249_4 = 0) | all_249_0 = 0 | all_249_2 = 0)
% 27.20/4.53 | | | | | | | | | | | | |
% 27.20/4.53 | | | | | | | | | | | | | ALPHA: (216) implies:
% 27.20/4.53 | | | | | | | | | | | | | (217) in(all_93_7, all_89_8) = all_249_4
% 27.20/4.53 | | | | | | | | | | | | | (218) in(all_93_6, all_89_8) = all_249_3
% 27.20/4.53 | | | | | | | | | | | | | (219) in(all_93_3, all_41_2) = all_249_2
% 27.20/4.53 | | | | | | | | | | | | | (220) in(all_249_1, all_41_2) = all_249_0
% 27.20/4.53 | | | | | | | | | | | | | (221) ordered_pair(all_93_6, all_93_7) = all_249_1
% 27.20/4.54 | | | | | | | | | | | | | (222) ~ (all_249_3 = 0) | ~ (all_249_4 = 0) |
% 27.20/4.54 | | | | | | | | | | | | | all_249_0 = 0 | all_249_2 = 0
% 27.20/4.54 | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | REDUCE: (63), (218) imply:
% 27.20/4.54 | | | | | | | | | | | | | (223) in(all_93_6, all_77_2) = all_249_3
% 27.20/4.54 | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | REDUCE: (63), (217) imply:
% 27.20/4.54 | | | | | | | | | | | | | (224) in(all_93_7, all_77_2) = all_249_4
% 27.20/4.54 | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | BETA: splitting (109) gives:
% 27.20/4.54 | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | Case 1:
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | (225) all_93_6 = all_93_7
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | REDUCE: (90), (225) imply:
% 27.20/4.54 | | | | | | | | | | | | | | (226) $false
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | Case 2:
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | (227) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 27.20/4.54 | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (ordered_pair(all_93_7,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_6) = v2 & in(v2, all_41_2) = v3 &
% 27.20/4.54 | | | | | | | | | | | | | | in(all_93_1, all_41_2) = v4 & in(all_93_6,
% 27.20/4.54 | | | | | | | | | | | | | | all_89_8) = v1 & in(all_93_7, all_89_8) = v0 &
% 27.20/4.54 | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0 |
% 27.20/4.54 | | | | | | | | | | | | | | v3 = 0))
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbols all_254_0,
% 27.20/4.54 | | | | | | | | | | | | | | all_254_1, all_254_2, all_254_3, all_254_4 gives:
% 27.20/4.54 | | | | | | | | | | | | | | (228) ordered_pair(all_93_7, all_93_6) = all_254_2 &
% 27.20/4.54 | | | | | | | | | | | | | | in(all_254_2, all_41_2) = all_254_1 & in(all_93_1,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2) = all_254_0 & in(all_93_6, all_89_8) =
% 27.20/4.54 | | | | | | | | | | | | | | all_254_3 & in(all_93_7, all_89_8) = all_254_4 &
% 27.20/4.54 | | | | | | | | | | | | | | $i(all_254_2) & ( ~ (all_254_3 = 0) | ~
% 27.20/4.54 | | | | | | | | | | | | | | (all_254_4 = 0) | all_254_0 = 0 | all_254_1 = 0)
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | ALPHA: (228) implies:
% 27.20/4.54 | | | | | | | | | | | | | | (229) in(all_93_7, all_89_8) = all_254_4
% 27.20/4.54 | | | | | | | | | | | | | | (230) in(all_93_6, all_89_8) = all_254_3
% 27.20/4.54 | | | | | | | | | | | | | | (231) in(all_93_1, all_41_2) = all_254_0
% 27.20/4.54 | | | | | | | | | | | | | | (232) ordered_pair(all_93_7, all_93_6) = all_254_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | REDUCE: (63), (230) imply:
% 27.20/4.54 | | | | | | | | | | | | | | (233) in(all_93_6, all_77_2) = all_254_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | REDUCE: (63), (229) imply:
% 27.20/4.54 | | | | | | | | | | | | | | (234) in(all_93_7, all_77_2) = all_254_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_229_3, all_234_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (182), (192)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (235) all_234_3 = all_229_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_224_4, all_234_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (172), (192)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (236) all_234_3 = all_224_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_234_3, all_239_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (192), (202)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (237) all_239_3 = all_234_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_244_3, all_249_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (212), (224)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (238) all_249_4 = all_244_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_239_3, all_249_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (202), (224)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (239) all_249_4 = all_239_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_249_4, all_254_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (224), (234)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (240) all_254_4 = all_249_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_219_4, all_254_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_7, simplifying with (161), (234)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (241) all_254_4 = all_219_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_234_4, all_239_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (191), (201)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (242) all_239_4 = all_234_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_229_4, all_239_4,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (181), (201)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (243) all_239_4 = all_229_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_244_4, all_249_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (211), (223)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (244) all_249_3 = all_244_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_239_4, all_249_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (201), (223)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (245) all_249_3 = all_239_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_219_3, all_249_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (160), (223)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (246) all_249_3 = all_219_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_229_4, all_254_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (181), (233)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (247) all_254_3 = all_229_4
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_224_3, all_254_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_77_2, all_93_6, simplifying with (171), (233)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (248) all_254_3 = all_224_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_195_2, all_249_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, all_93_3, simplifying with (141), (219)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (249) all_249_2 = all_195_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_224_0, all_239_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (168), (199)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (250) all_239_2 = all_224_0
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_239_2, all_244_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (199), (209)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (251) all_244_2 = all_239_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_244_2, all_254_0,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (209), (231)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (252) all_254_0 = all_244_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_193_2, all_254_0,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (135), (231)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (253) all_254_0 = all_193_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_193_3, all_41_2,
% 27.20/4.54 | | | | | | | | | | | | | | simplifying with (22), (137) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (254) all_193_3 = 0
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_189_3, all_193_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, simplifying with (129), (137) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (255) all_193_3 = all_189_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_187_3, all_193_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, simplifying with (123), (137) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (256) all_193_3 = all_187_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_193_3, all_195_3,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, simplifying with (137), (143) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (257) all_195_3 = all_193_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_195_3, all_201_9,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, simplifying with (143), (151) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (258) all_201_9 = all_195_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_183_2, all_201_9,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_2, simplifying with (119), (151) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (259) all_201_9 = all_183_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_199_9, all_41_1,
% 27.20/4.54 | | | | | | | | | | | | | | simplifying with (72), (147) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (260) all_199_9 = 0
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_191_3, all_199_9,
% 27.20/4.54 | | | | | | | | | | | | | | all_41_1, simplifying with (133), (147) gives:
% 27.20/4.54 | | | | | | | | | | | | | | (261) all_199_9 = all_191_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_93_3, all_239_1,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_6, all_93_7, simplifying with (99), (200)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (262) all_239_1 = all_93_3
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_239_1, all_244_1,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_6, all_93_7, simplifying with (200), (210)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (263) all_244_1 = all_239_1
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_244_1, all_254_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_6, all_93_7, simplifying with (210), (232)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (264) all_254_2 = all_244_1
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_224_2, all_254_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_6, all_93_7, simplifying with (169), (232)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (265) all_254_2 = all_224_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_229_2, all_234_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_7, all_93_6, simplifying with (180), (190)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.54 | | | | | | | | | | | | | | (266) all_234_2 = all_229_2
% 27.20/4.54 | | | | | | | | | | | | | |
% 27.20/4.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_219_1, all_234_2,
% 27.20/4.54 | | | | | | | | | | | | | | all_93_7, all_93_6, simplifying with (159), (190)
% 27.20/4.54 | | | | | | | | | | | | | | gives:
% 27.20/4.55 | | | | | | | | | | | | | | (267) all_234_2 = all_219_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_93_1, all_249_1,
% 27.20/4.55 | | | | | | | | | | | | | | all_93_7, all_93_6, simplifying with (100), (221)
% 27.20/4.55 | | | | | | | | | | | | | | gives:
% 27.20/4.55 | | | | | | | | | | | | | | (268) all_249_1 = all_93_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_229_2, all_249_1,
% 27.20/4.55 | | | | | | | | | | | | | | all_93_7, all_93_6, simplifying with (180), (221)
% 27.20/4.55 | | | | | | | | | | | | | | gives:
% 27.20/4.55 | | | | | | | | | | | | | | (269) all_249_1 = all_229_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_77_2, all_189_2,
% 27.20/4.55 | | | | | | | | | | | | | | all_41_2, simplifying with (44), (130) gives:
% 27.20/4.55 | | | | | | | | | | | | | | (270) all_189_2 = all_77_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_187_2, all_189_2,
% 27.20/4.55 | | | | | | | | | | | | | | all_41_2, simplifying with (124), (130) gives:
% 27.20/4.55 | | | | | | | | | | | | | | (271) all_189_2 = all_187_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_53_0, all_195_1,
% 27.20/4.55 | | | | | | | | | | | | | | all_41_3, all_41_3, simplifying with (40), (144)
% 27.20/4.55 | | | | | | | | | | | | | | gives:
% 27.20/4.55 | | | | | | | | | | | | | | (272) all_195_1 = all_53_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_193_1, all_195_1,
% 27.20/4.55 | | | | | | | | | | | | | | all_41_3, all_41_3, simplifying with (138), (144)
% 27.20/4.55 | | | | | | | | | | | | | | gives:
% 27.20/4.55 | | | | | | | | | | | | | | (273) all_195_1 = all_193_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_41_0, all_199_8,
% 27.20/4.55 | | | | | | | | | | | | | | all_41_1, simplifying with (25), (148) gives:
% 27.20/4.55 | | | | | | | | | | | | | | (274) all_199_8 = all_41_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (252), (253) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (275) all_244_2 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (275) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (276) all_244_2 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (264), (265) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (277) all_244_1 = all_224_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (277) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (278) all_244_1 = all_224_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (247), (248) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (279) all_229_4 = all_224_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (279) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (280) all_229_4 = all_224_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (240), (241) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (281) all_249_4 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (281) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (282) all_249_4 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (268), (269) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (283) all_229_2 = all_93_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (283) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (284) all_229_2 = all_93_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (244), (245) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (285) all_244_4 = all_239_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (244), (246) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (286) all_244_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (287) all_244_3 = all_239_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (238), (282) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (288) all_244_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (263), (278) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (289) all_239_1 = all_224_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (289) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (290) all_239_1 = all_224_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (251), (276) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (291) all_239_2 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (291) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (292) all_239_2 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (287), (288) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (293) all_239_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (293) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (294) all_239_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (285), (286) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (295) all_239_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (295) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (296) all_239_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (262), (290) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (297) all_224_2 = all_93_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (250), (292) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (298) all_224_0 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (298) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (299) all_224_0 = all_193_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (237), (294) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (300) all_234_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (300) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (301) all_234_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (242), (296) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (302) all_234_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (242), (243) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (303) all_234_4 = all_229_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (266), (267) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (304) all_229_2 = all_219_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (304) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (305) all_229_2 = all_219_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (235), (236) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (306) all_229_3 = all_224_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (235), (301) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (307) all_229_3 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (302), (303) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (308) all_229_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (308) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (309) all_229_4 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (284), (305) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (310) all_219_1 = all_93_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (311) all_224_4 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (311) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (312) all_224_4 = all_219_4
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (280), (309) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (313) all_224_3 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (313) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (314) all_224_3 = all_219_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (258), (259) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (315) all_195_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (315) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (316) all_195_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (317) all_191_3 = 0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (272), (273) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (318) all_193_1 = all_53_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (318) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (319) all_193_1 = all_53_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (257), (316) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (320) all_193_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | SIMP: (320) implies:
% 27.20/4.55 | | | | | | | | | | | | | | (321) all_193_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (254), (255) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (322) all_189_3 = 0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (255), (321) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (323) all_189_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (255), (256) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (324) all_189_3 = all_187_3
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (325) all_187_2 = all_77_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (322), (324) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (326) all_187_3 = 0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (323), (324) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (327) all_187_3 = all_183_2
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (326), (327) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (328) all_183_2 = 0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (316), (328) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (329) all_195_3 = 0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | COMBINE_EQS: (267), (310) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (330) all_234_2 = all_93_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (220), (268) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (331) in(all_93_1, all_41_2) = all_249_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (189), (330) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (332) in(all_93_1, all_41_2) = all_234_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (179), (284) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (333) in(all_93_1, all_41_2) = all_229_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (158), (310) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (334) in(all_93_1, all_41_2) = all_219_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (136), (319) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (335) in(all_93_1, all_53_0) = all_193_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (142), (272) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (336) in(all_93_3, all_53_0) = all_195_0
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (128), (270) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (337) in(all_93_6, all_77_2) = all_189_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | REDUCE: (122), (325) imply:
% 27.20/4.55 | | | | | | | | | | | | | | (338) in(all_93_7, all_77_2) = all_187_1
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 27.20/4.55 | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | Case 1:
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | (339) ~ (all_187_3 = 0)
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | REDUCE: (326), (339) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | (340) $false
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | Case 2:
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | (341) all_187_0 = 0 & all_187_1 = 0
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 27.20/4.55 | | | | | | | | | | | | | | | (342) all_187_1 = 0
% 27.20/4.55 | | | | | | | | | | | | | | | (343) all_187_0 = 0
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | REDUCE: (338), (342) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | (344) in(all_93_7, all_77_2) = 0
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | REDUCE: (121), (343) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | (345) in(all_93_7, all_41_3) = 0
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 27.20/4.55 | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | Case 1:
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | (346) ~ (all_189_3 = 0)
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | REDUCE: (322), (346) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | | (347) $false
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | CLOSE: (347) is inconsistent.
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | Case 2:
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | (348) all_189_0 = 0 & all_189_1 = 0
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 27.20/4.55 | | | | | | | | | | | | | | | | (349) all_189_1 = 0
% 27.20/4.55 | | | | | | | | | | | | | | | | (350) all_189_0 = 0
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | REDUCE: (337), (349) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | | (351) in(all_93_6, all_77_2) = 0
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | REDUCE: (127), (350) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | | (352) in(all_93_6, all_41_3) = 0
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 27.20/4.55 | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.55 | | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | | (353) ~ (all_199_9 = 0)
% 27.20/4.55 | | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | | REDUCE: (260), (353) imply:
% 27.20/4.55 | | | | | | | | | | | | | | | | | (354) $false
% 27.20/4.55 | | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | | CLOSE: (354) is inconsistent.
% 27.20/4.55 | | | | | | | | | | | | | | | | |
% 27.20/4.55 | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | (355) ( ~ (all_199_8 = 0) | ( ! [v0: $i] : ! [v1: $i] :
% 27.20/4.56 | | | | | | | | | | | | | | | | | ! [v2: $i] : (v1 = v0 | ~ (ordered_pair(v1,
% 27.20/4.56 | | | | | | | | | | | | | | | | | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 27.20/4.56 | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ?
% 27.20/4.56 | | | | | | | | | | | | | | | | | [v6: any] : ? [v7: any] : (ordered_pair(v0,
% 27.20/4.56 | | | | | | | | | | | | | | | | | v1) = v5 & in(v5, all_41_1) = v6 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(v2, all_41_1) = v7 & in(v1, all_93_8) =
% 27.20/4.56 | | | | | | | | | | | | | | | | | v4 & in(v0, all_93_8) = v3 & $i(v5) & ( ~
% 27.20/4.56 | | | | | | | | | | | | | | | | | (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v6 =
% 27.20/4.56 | | | | | | | | | | | | | | | | | 0))) & ! [v0: $i] : ! [v1: $i] : !
% 27.20/4.56 | | | | | | | | | | | | | | | | | [v2: $i] : (v1 = v0 | ~ (ordered_pair(v0, v1)
% 27.20/4.56 | | | | | | | | | | | | | | | | | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 27.20/4.56 | | | | | | | | | | | | | | | | | any] : ? [v4: any] : ? [v5: any] : ?
% 27.20/4.56 | | | | | | | | | | | | | | | | | [v6: $i] : ? [v7: any] : (ordered_pair(v1,
% 27.20/4.56 | | | | | | | | | | | | | | | | | v0) = v6 & in(v6, all_41_1) = v7 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(v2, all_41_1) = v5 & in(v1, all_93_8) =
% 27.20/4.56 | | | | | | | | | | | | | | | | | v4 & in(v0, all_93_8) = v3 & $i(v6) & ( ~
% 27.20/4.56 | | | | | | | | | | | | | | | | | (v4 = 0) | ~ (v3 = 0) | v7 = 0 | v5 =
% 27.20/4.56 | | | | | | | | | | | | | | | | | 0))))) & (all_199_8 = 0 | (all_199_4 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | & all_199_5 = 0 & ~ (all_199_0 = 0) & ~
% 27.20/4.56 | | | | | | | | | | | | | | | | | (all_199_2 = 0) & ~ (all_199_6 = all_199_7) &
% 27.20/4.56 | | | | | | | | | | | | | | | | | ordered_pair(all_199_6, all_199_7) = all_199_1
% 27.20/4.56 | | | | | | | | | | | | | | | | | & ordered_pair(all_199_7, all_199_6) =
% 27.20/4.56 | | | | | | | | | | | | | | | | | all_199_3 & in(all_199_1, all_41_1) =
% 27.20/4.56 | | | | | | | | | | | | | | | | | all_199_0 & in(all_199_3, all_41_1) =
% 27.20/4.56 | | | | | | | | | | | | | | | | | all_199_2 & in(all_199_6, all_93_8) = 0 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(all_199_7, all_93_8) = 0 & $i(all_199_1) &
% 27.20/4.56 | | | | | | | | | | | | | | | | | $i(all_199_3)))
% 27.20/4.56 | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | (356) all_199_8 = 0 | (all_199_4 = 0 & all_199_5 = 0 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | ~ (all_199_0 = 0) & ~ (all_199_2 = 0) & ~
% 27.20/4.56 | | | | | | | | | | | | | | | | | (all_199_6 = all_199_7) &
% 27.20/4.56 | | | | | | | | | | | | | | | | | ordered_pair(all_199_6, all_199_7) = all_199_1 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | ordered_pair(all_199_7, all_199_6) = all_199_3 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(all_199_1, all_41_1) = all_199_0 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(all_199_3, all_41_1) = all_199_2 &
% 27.20/4.56 | | | | | | | | | | | | | | | | | in(all_199_6, all_93_8) = 0 & in(all_199_7,
% 27.20/4.56 | | | | | | | | | | | | | | | | | all_93_8) = 0 & $i(all_199_1) & $i(all_199_3))
% 27.20/4.56 | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (357) all_199_8 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (357) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (358) all_41_0 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | SIMP: (358) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (359) all_41_0 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | REDUCE: (18), (359) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (360) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | CLOSE: (360) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_219_4, 0, all_77_2,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_93_7, simplifying with (161), (344) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (361) all_219_4 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_219_3, 0, all_77_2,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_93_6, simplifying with (160), (351) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (362) all_219_3 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_193_2, all_229_1,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (135), (333)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (363) all_229_1 = all_193_2
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_229_1, all_234_1,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (332), (333)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (364) all_234_1 = all_229_1
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_234_1, all_249_0,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (331), (332)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (365) all_249_0 = all_234_1
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_219_0, all_249_0,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_2, all_93_1, simplifying with (331), (334)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (366) all_249_0 = all_219_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (366) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (367) all_234_1 = all_219_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | SIMP: (367) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (368) all_234_1 = all_219_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (364), (368) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (369) all_229_1 = all_219_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | SIMP: (369) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (370) all_229_1 = all_219_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (370) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (371) all_219_0 = all_193_2
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (362) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (372) all_224_3 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (361) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (373) all_249_4 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (362) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (374) all_249_3 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (371) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (375) all_249_0 = all_193_2
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_93_7, all_93_6,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_3, all_41_3, all_93_3, all_53_0, all_195_0,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | simplifying with (19), (40), (54), (55), (99),
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (336) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (376) all_195_0 = 0 | ? [v0: any] : ? [v1: any] :
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (in(all_93_6, all_41_3) = v1 & in(all_93_7,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_93_6, all_93_7,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_3, all_41_3, all_93_1, all_53_0, all_193_0,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | simplifying with (19), (40), (54), (55), (100),
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (335) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (377) all_193_0 = 0 | ? [v0: any] : ? [v1: any] :
% 27.20/4.56 | | | | | | | | | | | | | | | | | | (in(all_93_6, all_41_3) = v0 & in(all_93_7,
% 27.20/4.56 | | | | | | | | | | | | | | | | | | all_41_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | (378) all_193_0 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | (379) ~ (all_193_3 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (379) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | (380) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | (381) ( ~ (all_193_0 = 0) | ~ (all_193_2 = 0) |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | all_93_0 = 0) & ( ~ (all_93_0 = 0) | (all_193_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | = 0 & all_193_2 = 0))
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | (382) ~ (all_193_0 = 0) | ~ (all_193_2 = 0) | all_93_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | (383) ~ (all_193_0 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (383) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | (384) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_193_2 = 0) | all_93_0 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | (386) all_195_0 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | (387) ~ (all_195_3 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (387) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | (388) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | (389) ( ~ (all_195_0 = 0) | ~ (all_195_2 = 0) |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | all_93_2 = 0) & ( ~ (all_93_2 = 0) | (all_195_0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | = 0 & all_195_2 = 0))
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | (390) ~ (all_195_0 = 0) | ~ (all_195_2 = 0) | all_93_2
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | (391) ~ (all_195_0 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (386), (391) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | (392) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | (393) ~ (all_195_2 = 0) | all_93_2 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | (394) ~ (all_193_2 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (395) ~ (all_249_3 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (395) imply:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (396) $false
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (397) ~ (all_249_4 = 0) | all_249_0 = 0 | all_249_2 = 0
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) ~ (all_249_4 = 0)
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (398) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (399) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_249_0 = 0 | all_249_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_249_0 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (401) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_193_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (402) implies:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_193_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (403) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (404) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_249_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (405) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_195_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) ~ (all_195_2 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (407) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (408) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_93_2 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (409) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (410) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_93_0 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (411) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | (412) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (413) ? [v0: any] : ? [v1: any] : (in(all_93_6,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | all_41_3) = v1 & in(all_93_7, all_41_3) = v0 &
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (413) with fresh symbols all_483_0,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | all_483_1 gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (414) in(all_93_6, all_41_3) = all_483_0 & in(all_93_7,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | all_41_3) = all_483_1 & ( ~ (all_483_0 = 0) | ~
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (all_483_1 = 0))
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (415) in(all_93_7, all_41_3) = all_483_1
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (416) in(all_93_6, all_41_3) = all_483_0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | (417) ~ (all_483_0 = 0) | ~ (all_483_1 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | (418) ~ (all_224_3 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (418) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | (419) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_483_1, all_41_3,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | all_93_7, simplifying with (345), (415) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | (420) all_483_1 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_483_0, all_41_3,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | all_93_6, simplifying with (352), (416) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | (421) all_483_0 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (422) ~ (all_483_0 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (422) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (423) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (423) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (424) ~ (all_483_1 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (420), (424) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (425) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (425) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (426) ? [v0: any] : ? [v1: any] : (in(all_93_6,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | all_41_3) = v0 & in(all_93_7, all_41_3) = v1 &
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (426) with fresh symbols all_411_0,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | all_411_1 gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (427) in(all_93_6, all_41_3) = all_411_1 & in(all_93_7,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | all_41_3) = all_411_0 & ( ~ (all_411_0 = 0) | ~
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (all_411_1 = 0))
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (428) in(all_93_7, all_41_3) = all_411_0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (429) in(all_93_6, all_41_3) = all_411_1
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (430) ~ (all_411_0 = 0) | ~ (all_411_1 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_411_0, all_41_3,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | all_93_7, simplifying with (345), (428) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (431) all_411_0 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_411_1, all_41_3,
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | all_93_6, simplifying with (352), (429) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | (432) all_411_1 = 0
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | (433) ~ (all_411_0 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (431), (433) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | (434) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | (435) ~ (all_411_1 = 0)
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (435) imply:
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | (436) $false
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (436) is inconsistent.
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | | |
% 27.20/4.57 | | | | | | | | | End of split
% 27.20/4.57 | | | | | | | | |
% 27.20/4.57 | | | | | | | | End of split
% 27.20/4.57 | | | | | | | |
% 27.20/4.57 | | | | | | | End of split
% 27.20/4.57 | | | | | | |
% 27.20/4.57 | | | | | | End of split
% 27.20/4.57 | | | | | |
% 27.20/4.57 | | | | | End of split
% 27.20/4.57 | | | | |
% 27.20/4.57 | | | | End of split
% 27.20/4.57 | | | |
% 27.20/4.57 | | | End of split
% 27.20/4.57 | | |
% 27.20/4.57 | | End of split
% 27.20/4.57 | |
% 27.20/4.57 | End of split
% 27.20/4.57 |
% 27.20/4.57 End of proof
% 27.20/4.57 % SZS output end Proof for theBenchmark
% 27.20/4.57
% 27.20/4.57 3944ms
%------------------------------------------------------------------------------