TSTP Solution File: SWV125+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV125+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n004.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 22:55:01 EDT 2023
% Result : Theorem 21.46s 3.59s
% Output : Proof 31.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV125+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:29:52 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.64/1.71 Prover 4: Preprocessing ...
% 7.78/1.76 Prover 3: Preprocessing ...
% 7.78/1.76 Prover 5: Preprocessing ...
% 7.78/1.76 Prover 6: Preprocessing ...
% 7.78/1.76 Prover 2: Preprocessing ...
% 7.78/1.79 Prover 0: Preprocessing ...
% 8.45/1.83 Prover 1: Preprocessing ...
% 15.54/2.80 Prover 1: Warning: ignoring some quantifiers
% 15.54/2.82 Prover 3: Warning: ignoring some quantifiers
% 16.11/2.86 Prover 4: Warning: ignoring some quantifiers
% 16.27/2.88 Prover 1: Constructing countermodel ...
% 16.27/2.88 Prover 3: Constructing countermodel ...
% 16.64/2.92 Prover 6: Proving ...
% 16.83/2.96 Prover 4: Constructing countermodel ...
% 16.83/2.96 Prover 0: Proving ...
% 16.83/3.01 Prover 5: Proving ...
% 17.44/3.03 Prover 2: Proving ...
% 21.46/3.59 Prover 3: proved (2971ms)
% 21.46/3.59
% 21.46/3.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.46/3.59
% 21.46/3.59 Prover 6: stopped
% 21.46/3.59 Prover 0: stopped
% 21.46/3.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 21.46/3.60 Prover 2: stopped
% 21.46/3.60 Prover 5: stopped
% 21.84/3.62 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 21.84/3.62 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 21.84/3.62 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 21.84/3.62 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 24.94/4.12 Prover 13: Preprocessing ...
% 24.94/4.13 Prover 11: Preprocessing ...
% 25.67/4.14 Prover 7: Preprocessing ...
% 26.09/4.20 Prover 8: Preprocessing ...
% 26.09/4.23 Prover 10: Preprocessing ...
% 27.97/4.45 Prover 7: Warning: ignoring some quantifiers
% 27.97/4.48 Prover 10: Warning: ignoring some quantifiers
% 27.97/4.48 Prover 13: Warning: ignoring some quantifiers
% 27.97/4.49 Prover 7: Constructing countermodel ...
% 27.97/4.51 Prover 10: Constructing countermodel ...
% 27.97/4.53 Prover 13: Constructing countermodel ...
% 27.97/4.54 Prover 8: Warning: ignoring some quantifiers
% 27.97/4.55 Prover 8: Constructing countermodel ...
% 27.97/4.57 Prover 11: Warning: ignoring some quantifiers
% 29.08/4.60 Prover 11: Constructing countermodel ...
% 30.27/4.80 Prover 1: Found proof (size 467)
% 30.27/4.80 Prover 1: proved (4180ms)
% 30.27/4.80 Prover 13: stopped
% 30.27/4.80 Prover 8: stopped
% 30.27/4.80 Prover 10: stopped
% 30.27/4.80 Prover 11: stopped
% 30.27/4.80 Prover 7: stopped
% 30.27/4.80 Prover 4: stopped
% 30.27/4.80
% 30.27/4.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.27/4.80
% 30.84/4.88 % SZS output start Proof for theBenchmark
% 30.84/4.89 Assumptions after simplification:
% 30.84/4.89 ---------------------------------
% 31.09/4.89
% 31.09/4.89 (gt_1000_588)
% 31.09/4.91 gt(n1000, n588) = 0 & $i(n588) & $i(n1000)
% 31.09/4.91
% 31.09/4.91 (gt_2_0)
% 31.09/4.91 gt(n2, n0) = 0 & $i(n2) & $i(n0)
% 31.09/4.91
% 31.09/4.91 (gt_3_0)
% 31.09/4.91 gt(n3, n0) = 0 & $i(n3) & $i(n0)
% 31.09/4.91
% 31.09/4.91 (gt_3_tptp_minus_1)
% 31.09/4.91 gt(n3, tptp_minus_1) = 0 & $i(n3) & $i(tptp_minus_1)
% 31.09/4.91
% 31.09/4.91 (gt_4_0)
% 31.09/4.91 gt(n4, n0) = 0 & $i(n4) & $i(n0)
% 31.09/4.91
% 31.09/4.91 (gt_4_1)
% 31.09/4.91 gt(n4, n1) = 0 & $i(n4) & $i(n1)
% 31.09/4.91
% 31.09/4.91 (gt_4_2)
% 31.09/4.91 gt(n4, n2) = 0 & $i(n4) & $i(n2)
% 31.09/4.91
% 31.09/4.91 (gt_4_3)
% 31.09/4.91 gt(n4, n3) = 0 & $i(n4) & $i(n3)
% 31.09/4.91
% 31.09/4.91 (gt_5_0)
% 31.09/4.91 gt(n5, n0) = 0 & $i(n5) & $i(n0)
% 31.09/4.91
% 31.09/4.91 (gt_6_0)
% 31.09/4.91 gt(n6, n0) = 0 & $i(n6) & $i(n0)
% 31.09/4.91
% 31.09/4.91 (gt_6_1)
% 31.09/4.91 gt(n6, n1) = 0 & $i(n6) & $i(n1)
% 31.09/4.91
% 31.09/4.91 (gt_6_2)
% 31.09/4.92 gt(n6, n2) = 0 & $i(n6) & $i(n2)
% 31.09/4.92
% 31.09/4.92 (gt_6_3)
% 31.09/4.92 gt(n6, n3) = 0 & $i(n6) & $i(n3)
% 31.09/4.92
% 31.09/4.92 (gt_6_4)
% 31.09/4.92 gt(n6, n4) = 0 & $i(n6) & $i(n4)
% 31.09/4.92
% 31.09/4.92 (gt_6_5)
% 31.09/4.92 gt(n6, n5) = 0 & $i(n6) & $i(n5)
% 31.09/4.92
% 31.09/4.92 (gt_7_1)
% 31.09/4.92 gt(n7, n1) = 0 & $i(n7) & $i(n1)
% 31.09/4.92
% 31.09/4.92 (gt_7_2)
% 31.09/4.92 gt(n7, n2) = 0 & $i(n7) & $i(n2)
% 31.09/4.92
% 31.09/4.92 (gt_7_3)
% 31.09/4.92 gt(n7, n3) = 0 & $i(n7) & $i(n3)
% 31.09/4.92
% 31.09/4.92 (gt_7_4)
% 31.09/4.92 gt(n7, n4) = 0 & $i(n7) & $i(n4)
% 31.09/4.92
% 31.09/4.92 (gt_7_5)
% 31.09/4.92 gt(n7, n5) = 0 & $i(n7) & $i(n5)
% 31.09/4.92
% 31.09/4.92 (gt_7_6)
% 31.09/4.92 gt(n7, n6) = 0 & $i(n6) & $i(n7)
% 31.09/4.92
% 31.09/4.92 (leq_geq)
% 31.09/4.92 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (geq(v0, v1) = v2) |
% 31.09/4.92 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & !
% 31.09/4.92 [v0: $i] : ! [v1: $i] : ( ~ (geq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 31.09/4.92 leq(v1, v0) = 0)
% 31.09/4.92
% 31.09/4.92 (leq_gt1)
% 31.09/4.92 ! [v0: $i] : ! [v1: $i] : ( ~ (gt(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) |
% 31.09/4.92 leq(v0, v1) = 0)
% 31.09/4.92
% 31.09/4.92 (leq_gt_pred)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 31.09/4.93 (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 31.09/4.93 int] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0: $i] : ! [v1: $i] : !
% 31.09/4.93 [v2: $i] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)
% 31.09/4.93 | gt(v1, v0) = 0)
% 31.09/4.93
% 31.09/4.93 (leq_succ)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 31.09/4.93 (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 31.09/4.93 int] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 31.09/4.93
% 31.09/4.93 (leq_succ_gt_equiv)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 31.09/4.93 (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 31.09/4.93 int] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : !
% 31.09/4.93 [v2: $i] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | ~ $i(v1) | ~ $i(v0) |
% 31.09/4.93 leq(v0, v1) = 0)
% 31.09/4.93
% 31.09/4.93 (leq_succ_succ)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 31.09/4.93 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ~
% 31.09/4.93 $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & !
% 31.09/4.93 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (succ(v1) = v3) | ~
% 31.09/4.93 (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1)
% 31.09/4.93 = 0)
% 31.09/4.93
% 31.09/4.93 (pred_minus_1)
% 31.09/4.93 $i(n1) & ! [v0: $i] : ! [v1: $i] : ( ~ (minus(v0, n1) = v1) | ~ $i(v0) |
% 31.09/4.93 (pred(v0) = v1 & $i(v1)))
% 31.09/4.93
% 31.09/4.93 (pred_succ)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | pred(v1) = v0)
% 31.09/4.93
% 31.09/4.93 (reflexivity_leq)
% 31.09/4.93 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ~ $i(v0))
% 31.09/4.93
% 31.09/4.93 (succ_pred)
% 31.09/4.93 ! [v0: $i] : ! [v1: $i] : ( ~ (pred(v0) = v1) | ~ $i(v0) | succ(v1) = v0)
% 31.09/4.93
% 31.09/4.93 (succ_tptp_minus_1)
% 31.09/4.93 succ(tptp_minus_1) = n0 & $i(tptp_minus_1) & $i(n0)
% 31.09/4.93
% 31.09/4.93 (successor_1)
% 31.09/4.93 succ(n0) = n1 & $i(n1) & $i(n0)
% 31.09/4.93
% 31.09/4.93 (successor_2)
% 31.09/4.93 $i(n2) & $i(n0) & ? [v0: $i] : (succ(v0) = n2 & succ(n0) = v0 & $i(v0))
% 31.09/4.93
% 31.09/4.93 (successor_3)
% 31.09/4.93 $i(n3) & $i(n0) & ? [v0: $i] : ? [v1: $i] : (succ(v1) = n3 & succ(v0) = v1 &
% 31.09/4.93 succ(n0) = v0 & $i(v1) & $i(v0))
% 31.09/4.93
% 31.09/4.93 (successor_4)
% 31.09/4.94 $i(n4) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (succ(v2) = n4 &
% 31.09/4.94 succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0 & $i(v2) & $i(v1) & $i(v0))
% 31.09/4.94
% 31.09/4.94 (successor_5)
% 31.09/4.94 $i(n5) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 31.09/4.94 (succ(v3) = n5 & succ(v2) = v3 & succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0
% 31.09/4.94 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 31.09/4.94
% 31.09/4.94 (successor_6)
% 31.09/4.94 $i(n6) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 31.09/4.94 [v4: $i] : (succ(v4) = n6 & succ(v3) = v4 & succ(v2) = v3 & succ(v1) = v2 &
% 31.09/4.94 succ(v0) = v1 & succ(n0) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 31.09/4.94
% 31.09/4.94 (thruster_array_0001)
% 31.09/4.95 $i(sigma) & $i(pv23) & $i(pv32) & $i(pv31) & $i(n588) & $i(pv21) & $i(pv5) &
% 31.09/4.95 $i(n6) & $i(n7) & $i(n1000) & $i(n5) & $i(n4) & $i(n3) & $i(n2) & $i(n1) &
% 31.09/4.95 $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4:
% 31.09/4.95 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 31.09/4.95 any] : ? [v10: any] : ? [v11: any] : ? [v12: $i] : ? [v13: any] : ?
% 31.09/4.95 [v14: any] : ? [v15: any] : ? [v16: any] : ? [v17: any] : ? [v18: any] :
% 31.09/4.95 ? [v19: any] : ? [v20: any] : ? [v21: any] : ? [v22: any] : ? [v23: any] :
% 31.09/4.95 ? [v24: any] : ? [v25: any] : ? [v26: any] : ? [v27: any] : ? [v28: any]
% 31.09/4.95 : ? [v29: any] : ? [v30: any] : ? [v31: any] : ? [v32: any] : ? [v33:
% 31.09/4.95 any] : ? [v34: any] : ? [v35: MultipleValueBool] : ? [v36:
% 31.09/4.95 MultipleValueBool] : ? [v37: MultipleValueBool] : ? [v38:
% 31.09/4.95 MultipleValueBool] : ? [v39: any] : ? [v40: any] : ? [v41: any] : ?
% 31.09/4.95 [v42: any] : ? [v43: $i] : ? [v44: any] : ? [v45: any] : (minus(n6, n1) =
% 31.09/4.95 v12 & minus(n1000, n1) = v1 & minus(n4, n1) = v0 & a_select2(sigma, pv23) =
% 31.09/4.95 v43 & geq(v12, n0) = v45 & geq(v1, n0) = 0 & geq(v0, n0) = 0 & geq(n7, n0) =
% 31.09/4.95 v2 & leq(pv23, v12) = v42 & leq(pv32, v12) = v38 & leq(pv31, v12) = v37 &
% 31.09/4.95 leq(pv21, v12) = v33 & leq(pv21, n5) = v34 & leq(pv5, v1) = v39 & leq(pv5,
% 31.09/4.95 n588) = v32 & leq(n6, n7) = v28 & leq(n7, n7) = v29 & leq(n5, v12) = v27 &
% 31.09/4.95 leq(n5, n7) = v26 & leq(n4, v12) = v25 & leq(n4, n7) = v24 & leq(n3, v12) =
% 31.09/4.95 v23 & leq(n3, v0) = v22 & leq(n3, n7) = v21 & leq(n2, v12) = v20 & leq(n2,
% 31.09/4.95 v0) = v19 & leq(n2, n7) = v18 & leq(n1, v12) = v17 & leq(n1, v0) = v16 &
% 31.09/4.95 leq(n1, n7) = v15 & leq(n0, v43) = v44 & leq(n0, v12) = v13 & leq(n0, v1) =
% 31.09/4.95 v14 & leq(n0, v0) = v11 & leq(n0, pv23) = v41 & leq(n0, pv32) = v36 &
% 31.09/4.95 leq(n0, pv31) = v35 & leq(n0, pv21) = v31 & leq(n0, pv5) = v30 & leq(n0, n6)
% 31.09/4.95 = v9 & leq(n0, n7) = v10 & leq(n0, n5) = v8 & leq(n0, n4) = v7 & leq(n0, n3)
% 31.09/4.95 = v6 & leq(n0, n2) = v5 & leq(n0, n1) = v4 & leq(n0, n0) = v3 & gt(pv5, n0)
% 31.09/4.95 = v40 & $i(v43) & $i(v12) & $i(v1) & $i(v0) & ? [v46: $i] : (v2 = 0 &
% 31.09/4.95 $i(v46) & ? [v47: $i] : ($i(v47) & ((v45 = 0 & ~ true) | (v44 = 0 & v42
% 31.09/4.95 = 0 & v41 = 0 & ~ true) | (v33 = 0 & v32 = 0 & v31 = 0 & v30 = 0 &
% 31.09/4.95 ( ~ (v34 = 0) | ~ (v3 = 0))) | (v32 = 0 & v30 = 0 & ~ true) | (v32
% 31.09/4.95 = 0 & v30 = 0 & ( ~ (v39 = 0) | ~ (v22 = 0) | ~ (v20 = 0) | ~
% 31.09/4.95 (v19 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v13 = 0) | ~ (v11 =
% 31.09/4.95 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) |
% 31.09/4.95 (v40 = 0 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 =
% 31.09/4.95 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v21 =
% 31.09/4.95 0) | ~ (v18 = 0) | ~ (v15 = 0) | ~ (v10 = 0) | ~ (v9 =
% 31.09/4.95 0) | ~ (v8 = 0) | ~ (v7 = 0))) | ( ~ (v40 = 0) & ( ~ (v29
% 31.09/4.95 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25
% 31.09/4.95 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v21 = 0) | ~ (v18
% 31.09/4.95 = 0) | ~ (v15 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 =
% 31.09/4.95 0) | ~ (v7 = 0))))) | (true & ( ~ (v29 = 0) | ~ (v28 = 0)
% 31.09/4.95 | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~
% 31.09/4.95 (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 =
% 31.09/4.95 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) |
% 31.09/4.95 ~ (v14 = 0) | ~ (v13 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9
% 31.09/4.95 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) |
% 31.09/4.95 ~ (v4 = 0) | ~ (v3 = 0)))))))
% 31.09/4.95
% 31.09/4.95 (transitivity_leq)
% 31.09/4.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v0,
% 31.09/4.95 v2) = v3) | ~ (leq(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 31.09/4.95 ? [v4: int] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 31.09/4.95
% 31.09/4.95 (ttrue)
% 31.09/4.95 true
% 31.09/4.95
% 31.09/4.95 (function-axioms)
% 31.42/4.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 31.42/4.96 $i] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~
% 31.42/4.96 (tptp_update3(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 31.42/4.96 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) =
% 31.42/4.96 v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 31.42/4.96 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) |
% 31.42/4.96 ~ (sum(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 31.42/4.96 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) |
% 31.42/4.96 ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 31.42/4.96 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (a_select3(v4, v3, v2) =
% 31.42/4.96 v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 31.42/4.96 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3,
% 31.42/4.96 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 31.42/4.96 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0: $i] : !
% 31.42/4.96 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1)
% 31.42/4.96 | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 31.42/4.96 ! [v3: $i] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) =
% 31.42/4.96 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 31.42/4.96 ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0: $i] : !
% 31.42/4.96 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~
% 31.42/4.96 (dim(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 31.42/4.96 : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3,
% 31.42/4.96 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 31.42/4.96 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0:
% 31.42/4.96 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.42/4.96 (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & !
% 31.42/4.96 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 31.42/4.96 $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0:
% 31.42/4.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 31.42/4.96 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0:
% 31.42/4.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 31.42/4.96 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 31.42/4.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 31.42/4.96 : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: $i] : !
% 31.42/4.96 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) &
% 31.42/4.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (trans(v2) = v1) | ~
% 31.42/4.96 (trans(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 31.42/4.96 (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 31.42/4.96 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 31.42/4.96
% 31.42/4.96 Further assumptions not needed in the proof:
% 31.42/4.96 --------------------------------------------
% 31.42/4.96 const_array1_select, const_array2_select, defuse, finite_domain_0,
% 31.42/4.96 finite_domain_1, finite_domain_2, finite_domain_3, finite_domain_4,
% 31.42/4.96 finite_domain_5, finite_domain_6, gt_0_tptp_minus_1, gt_1000_0, gt_1000_1,
% 31.42/4.96 gt_1000_2, gt_1000_3, gt_1000_4, gt_1000_5, gt_1000_6, gt_1000_7,
% 31.42/4.96 gt_1000_tptp_minus_1, gt_1_0, gt_1_tptp_minus_1, gt_2_1, gt_2_tptp_minus_1,
% 31.42/4.96 gt_3_1, gt_3_2, gt_4_tptp_minus_1, gt_588_0, gt_588_1, gt_588_2, gt_588_3,
% 31.42/4.96 gt_588_4, gt_588_5, gt_588_6, gt_588_7, gt_588_tptp_minus_1, gt_5_1, gt_5_2,
% 31.42/4.96 gt_5_3, gt_5_4, gt_5_tptp_minus_1, gt_6_tptp_minus_1, gt_7_0, gt_7_tptp_minus_1,
% 31.42/4.96 gt_succ, irreflexivity_gt, leq_gt2, leq_minus, leq_succ_gt, lt_gt,
% 31.42/4.96 matrix_symm_aba1, matrix_symm_aba2, matrix_symm_add, matrix_symm_inv,
% 31.42/4.96 matrix_symm_joseph_update, matrix_symm_sub, matrix_symm_trans,
% 31.42/4.96 matrix_symm_update_diagonal, sel2_update_1, sel2_update_2, sel2_update_3,
% 31.42/4.96 sel3_update_1, sel3_update_2, sel3_update_3, succ_plus_1_l, succ_plus_1_r,
% 31.42/4.96 succ_plus_2_l, succ_plus_2_r, succ_plus_3_l, succ_plus_3_r, succ_plus_4_l,
% 31.42/4.96 succ_plus_4_r, succ_plus_5_l, succ_plus_5_r, sum_plus_base, sum_plus_base_float,
% 31.42/4.96 totality, transitivity_gt, uniform_int_rand_ranges_hi,
% 31.42/4.96 uniform_int_rand_ranges_lo
% 31.42/4.96
% 31.42/4.96 Those formulas are unsatisfiable:
% 31.42/4.96 ---------------------------------
% 31.42/4.96
% 31.42/4.96 Begin of proof
% 31.42/4.96 |
% 31.42/4.96 | ALPHA: (leq_geq) implies:
% 31.42/4.96 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (geq(v0, v1) = 0) | ~ $i(v1) | ~
% 31.42/4.96 | $i(v0) | leq(v1, v0) = 0)
% 31.42/4.96 |
% 31.42/4.96 | ALPHA: (leq_gt_pred) implies:
% 31.42/4.96 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 31.42/4.96 | (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 31.42/4.96 | [v4: int] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 31.42/4.96 |
% 31.42/4.96 | ALPHA: (leq_succ_gt_equiv) implies:
% 31.42/4.97 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (succ(v1) = v2) | ~
% 31.42/4.97 | (gt(v2, v0) = 0) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1) = 0)
% 31.42/4.97 |
% 31.42/4.97 | ALPHA: (succ_tptp_minus_1) implies:
% 31.42/4.97 | (4) succ(tptp_minus_1) = n0
% 31.42/4.97 |
% 31.42/4.97 | ALPHA: (pred_minus_1) implies:
% 31.47/4.97 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (minus(v0, n1) = v1) | ~ $i(v0) |
% 31.47/4.97 | (pred(v0) = v1 & $i(v1)))
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (leq_succ_succ) implies:
% 31.47/4.97 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 31.47/4.97 | (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) =
% 31.47/4.97 | v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & leq(v0,
% 31.47/4.97 | v1) = v5))
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_1000_588) implies:
% 31.47/4.97 | (7) gt(n1000, n588) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_4) implies:
% 31.47/4.97 | (8) gt(n6, n4) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_4) implies:
% 31.47/4.97 | (9) gt(n7, n4) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_5) implies:
% 31.47/4.97 | (10) gt(n6, n5) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_5) implies:
% 31.47/4.97 | (11) gt(n7, n5) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_6) implies:
% 31.47/4.97 | (12) gt(n7, n6) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_3_tptp_minus_1) implies:
% 31.47/4.97 | (13) $i(tptp_minus_1)
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_4_0) implies:
% 31.47/4.97 | (14) gt(n4, n0) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_5_0) implies:
% 31.47/4.97 | (15) gt(n5, n0) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_0) implies:
% 31.47/4.97 | (16) gt(n6, n0) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_2_0) implies:
% 31.47/4.97 | (17) gt(n2, n0) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_3_0) implies:
% 31.47/4.97 | (18) gt(n3, n0) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_4_1) implies:
% 31.47/4.97 | (19) gt(n4, n1) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_1) implies:
% 31.47/4.97 | (20) gt(n6, n1) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_1) implies:
% 31.47/4.97 | (21) gt(n7, n1) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_4_2) implies:
% 31.47/4.97 | (22) gt(n4, n2) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_2) implies:
% 31.47/4.97 | (23) gt(n6, n2) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_2) implies:
% 31.47/4.97 | (24) gt(n7, n2) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_4_3) implies:
% 31.47/4.97 | (25) gt(n4, n3) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_6_3) implies:
% 31.47/4.97 | (26) gt(n6, n3) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (gt_7_3) implies:
% 31.47/4.97 | (27) gt(n7, n3) = 0
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (successor_4) implies:
% 31.47/4.97 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (succ(v2) = n4 & succ(v1) =
% 31.47/4.97 | v2 & succ(v0) = v1 & succ(n0) = v0 & $i(v2) & $i(v1) & $i(v0))
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (successor_5) implies:
% 31.47/4.97 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (succ(v3) = n5
% 31.47/4.97 | & succ(v2) = v3 & succ(v1) = v2 & succ(v0) = v1 & succ(n0) = v0 &
% 31.47/4.97 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (successor_6) implies:
% 31.47/4.97 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 31.47/4.97 | (succ(v4) = n6 & succ(v3) = v4 & succ(v2) = v3 & succ(v1) = v2 &
% 31.47/4.97 | succ(v0) = v1 & succ(n0) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 31.47/4.97 | $i(v0))
% 31.47/4.97 |
% 31.47/4.97 | ALPHA: (successor_1) implies:
% 31.47/4.98 | (31) succ(n0) = n1
% 31.47/4.98 |
% 31.47/4.98 | ALPHA: (successor_2) implies:
% 31.47/4.98 | (32) ? [v0: $i] : (succ(v0) = n2 & succ(n0) = v0 & $i(v0))
% 31.47/4.98 |
% 31.47/4.98 | ALPHA: (successor_3) implies:
% 31.47/4.98 | (33) ? [v0: $i] : ? [v1: $i] : (succ(v1) = n3 & succ(v0) = v1 & succ(n0)
% 31.47/4.98 | = v0 & $i(v1) & $i(v0))
% 31.47/4.98 |
% 31.47/4.98 | ALPHA: (thruster_array_0001) implies:
% 31.47/4.98 | (34) $i(n0)
% 31.47/4.98 | (35) $i(n1000)
% 31.47/4.98 | (36) $i(n7)
% 31.47/4.98 | (37) $i(n6)
% 31.47/4.98 | (38) $i(pv5)
% 31.47/4.98 | (39) $i(n588)
% 31.47/4.98 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4: any]
% 31.47/4.98 | : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 31.47/4.98 | any] : ? [v10: any] : ? [v11: any] : ? [v12: $i] : ? [v13: any]
% 31.47/4.98 | : ? [v14: any] : ? [v15: any] : ? [v16: any] : ? [v17: any] : ?
% 31.47/4.98 | [v18: any] : ? [v19: any] : ? [v20: any] : ? [v21: any] : ? [v22:
% 31.47/4.98 | any] : ? [v23: any] : ? [v24: any] : ? [v25: any] : ? [v26: any]
% 31.47/4.98 | : ? [v27: any] : ? [v28: any] : ? [v29: any] : ? [v30: any] : ?
% 31.47/4.98 | [v31: any] : ? [v32: any] : ? [v33: any] : ? [v34: any] : ? [v35:
% 31.47/4.98 | MultipleValueBool] : ? [v36: MultipleValueBool] : ? [v37:
% 31.47/4.98 | MultipleValueBool] : ? [v38: MultipleValueBool] : ? [v39: any] :
% 31.47/4.98 | ? [v40: any] : ? [v41: any] : ? [v42: any] : ? [v43: $i] : ? [v44:
% 31.47/4.98 | any] : ? [v45: any] : (minus(n6, n1) = v12 & minus(n1000, n1) = v1
% 31.47/4.98 | & minus(n4, n1) = v0 & a_select2(sigma, pv23) = v43 & geq(v12, n0) =
% 31.47/4.98 | v45 & geq(v1, n0) = 0 & geq(v0, n0) = 0 & geq(n7, n0) = v2 &
% 31.47/4.98 | leq(pv23, v12) = v42 & leq(pv32, v12) = v38 & leq(pv31, v12) = v37 &
% 31.47/4.98 | leq(pv21, v12) = v33 & leq(pv21, n5) = v34 & leq(pv5, v1) = v39 &
% 31.47/4.98 | leq(pv5, n588) = v32 & leq(n6, n7) = v28 & leq(n7, n7) = v29 &
% 31.47/4.98 | leq(n5, v12) = v27 & leq(n5, n7) = v26 & leq(n4, v12) = v25 &
% 31.47/4.98 | leq(n4, n7) = v24 & leq(n3, v12) = v23 & leq(n3, v0) = v22 & leq(n3,
% 31.47/4.98 | n7) = v21 & leq(n2, v12) = v20 & leq(n2, v0) = v19 & leq(n2, n7) =
% 31.47/4.98 | v18 & leq(n1, v12) = v17 & leq(n1, v0) = v16 & leq(n1, n7) = v15 &
% 31.47/4.98 | leq(n0, v43) = v44 & leq(n0, v12) = v13 & leq(n0, v1) = v14 &
% 31.47/4.98 | leq(n0, v0) = v11 & leq(n0, pv23) = v41 & leq(n0, pv32) = v36 &
% 31.47/4.99 | leq(n0, pv31) = v35 & leq(n0, pv21) = v31 & leq(n0, pv5) = v30 &
% 31.47/4.99 | leq(n0, n6) = v9 & leq(n0, n7) = v10 & leq(n0, n5) = v8 & leq(n0,
% 31.47/4.99 | n4) = v7 & leq(n0, n3) = v6 & leq(n0, n2) = v5 & leq(n0, n1) = v4
% 31.47/4.99 | & leq(n0, n0) = v3 & gt(pv5, n0) = v40 & $i(v43) & $i(v12) & $i(v1)
% 31.47/4.99 | & $i(v0) & ? [v46: $i] : (v2 = 0 & $i(v46) & ? [v47: $i] :
% 31.47/4.99 | ($i(v47) & ((v45 = 0 & ~ true) | (v44 = 0 & v42 = 0 & v41 = 0 &
% 31.47/4.99 | ~ true) | (v33 = 0 & v32 = 0 & v31 = 0 & v30 = 0 & ( ~ (v34
% 31.47/4.99 | = 0) | ~ (v3 = 0))) | (v32 = 0 & v30 = 0 & ~ true) |
% 31.47/4.99 | (v32 = 0 & v30 = 0 & ( ~ (v39 = 0) | ~ (v22 = 0) | ~ (v20 =
% 31.47/4.99 | 0) | ~ (v19 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~
% 31.47/4.99 | (v13 = 0) | ~ (v11 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~
% 31.47/4.99 | (v4 = 0) | ~ (v3 = 0) | (v40 = 0 & ( ~ (v29 = 0) | ~
% 31.47/4.99 | (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0)
% 31.47/4.99 | | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v21 = 0) | ~ (v18
% 31.47/4.99 | = 0) | ~ (v15 = 0) | ~ (v10 = 0) | ~ (v9 = 0) |
% 31.47/4.99 | ~ (v8 = 0) | ~ (v7 = 0))) | ( ~ (v40 = 0) & ( ~ (v29
% 31.47/4.99 | = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) |
% 31.47/4.99 | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v21 =
% 31.47/4.99 | 0) | ~ (v18 = 0) | ~ (v15 = 0) | ~ (v10 = 0) | ~
% 31.47/4.99 | (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))) | (true & ( ~
% 31.47/4.99 | (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) |
% 31.47/4.99 | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) |
% 31.47/4.99 | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0)
% 31.47/4.99 | | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 =
% 31.47/4.99 | 0) | ~ (v13 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9
% 31.47/4.99 | = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5
% 31.47/4.99 | = 0) | ~ (v4 = 0) | ~ (v3 = 0)))))))
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (function-axioms) implies:
% 31.47/4.99 | (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) =
% 31.47/4.99 | v1) | ~ (pred(v2) = v0))
% 31.47/4.99 | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) =
% 31.47/4.99 | v1) | ~ (succ(v2) = v0))
% 31.47/4.99 | (43) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 31.47/4.99 | : ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) =
% 31.47/4.99 | v0))
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (32) with fresh symbol all_50_0 gives:
% 31.47/4.99 | (44) succ(all_50_0) = n2 & succ(n0) = all_50_0 & $i(all_50_0)
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (44) implies:
% 31.47/4.99 | (45) $i(all_50_0)
% 31.47/4.99 | (46) succ(n0) = all_50_0
% 31.47/4.99 | (47) succ(all_50_0) = n2
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (33) with fresh symbols all_52_0, all_52_1 gives:
% 31.47/4.99 | (48) succ(all_52_0) = n3 & succ(all_52_1) = all_52_0 & succ(n0) = all_52_1
% 31.47/4.99 | & $i(all_52_0) & $i(all_52_1)
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (48) implies:
% 31.47/4.99 | (49) $i(all_52_0)
% 31.47/4.99 | (50) succ(n0) = all_52_1
% 31.47/4.99 | (51) succ(all_52_1) = all_52_0
% 31.47/4.99 | (52) succ(all_52_0) = n3
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (28) with fresh symbols all_54_0, all_54_1, all_54_2
% 31.47/4.99 | gives:
% 31.47/4.99 | (53) succ(all_54_0) = n4 & succ(all_54_1) = all_54_0 & succ(all_54_2) =
% 31.47/4.99 | all_54_1 & succ(n0) = all_54_2 & $i(all_54_0) & $i(all_54_1) &
% 31.47/4.99 | $i(all_54_2)
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (53) implies:
% 31.47/4.99 | (54) $i(all_54_0)
% 31.47/4.99 | (55) succ(n0) = all_54_2
% 31.47/4.99 | (56) succ(all_54_2) = all_54_1
% 31.47/4.99 | (57) succ(all_54_1) = all_54_0
% 31.47/4.99 | (58) succ(all_54_0) = n4
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (29) with fresh symbols all_56_0, all_56_1, all_56_2,
% 31.47/4.99 | all_56_3 gives:
% 31.47/4.99 | (59) succ(all_56_0) = n5 & succ(all_56_1) = all_56_0 & succ(all_56_2) =
% 31.47/4.99 | all_56_1 & succ(all_56_3) = all_56_2 & succ(n0) = all_56_3 &
% 31.47/4.99 | $i(all_56_0) & $i(all_56_1) & $i(all_56_2) & $i(all_56_3)
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (59) implies:
% 31.47/4.99 | (60) $i(all_56_0)
% 31.47/4.99 | (61) succ(n0) = all_56_3
% 31.47/4.99 | (62) succ(all_56_3) = all_56_2
% 31.47/4.99 | (63) succ(all_56_2) = all_56_1
% 31.47/4.99 | (64) succ(all_56_1) = all_56_0
% 31.47/4.99 | (65) succ(all_56_0) = n5
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (30) with fresh symbols all_58_0, all_58_1, all_58_2,
% 31.47/4.99 | all_58_3, all_58_4 gives:
% 31.47/4.99 | (66) succ(all_58_0) = n6 & succ(all_58_1) = all_58_0 & succ(all_58_2) =
% 31.47/4.99 | all_58_1 & succ(all_58_3) = all_58_2 & succ(all_58_4) = all_58_3 &
% 31.47/4.99 | succ(n0) = all_58_4 & $i(all_58_0) & $i(all_58_1) & $i(all_58_2) &
% 31.47/4.99 | $i(all_58_3) & $i(all_58_4)
% 31.47/4.99 |
% 31.47/4.99 | ALPHA: (66) implies:
% 31.47/4.99 | (67) $i(all_58_0)
% 31.47/4.99 | (68) succ(n0) = all_58_4
% 31.47/4.99 | (69) succ(all_58_4) = all_58_3
% 31.47/4.99 | (70) succ(all_58_3) = all_58_2
% 31.47/4.99 | (71) succ(all_58_2) = all_58_1
% 31.47/4.99 | (72) succ(all_58_1) = all_58_0
% 31.47/4.99 | (73) succ(all_58_0) = n6
% 31.47/4.99 |
% 31.47/4.99 | DELTA: instantiating (40) with fresh symbols all_79_0, all_79_1, all_79_2,
% 31.47/4.99 | all_79_3, all_79_4, all_79_5, all_79_6, all_79_7, all_79_8, all_79_9,
% 31.47/4.99 | all_79_10, all_79_11, all_79_12, all_79_13, all_79_14, all_79_15,
% 31.47/4.99 | all_79_16, all_79_17, all_79_18, all_79_19, all_79_20, all_79_21,
% 31.47/4.99 | all_79_22, all_79_23, all_79_24, all_79_25, all_79_26, all_79_27,
% 31.47/4.99 | all_79_28, all_79_29, all_79_30, all_79_31, all_79_32, all_79_33,
% 31.47/4.99 | all_79_34, all_79_35, all_79_36, all_79_37, all_79_38, all_79_39,
% 31.47/4.99 | all_79_40, all_79_41, all_79_42, all_79_43, all_79_44, all_79_45 gives:
% 31.47/5.00 | (74) minus(n6, n1) = all_79_33 & minus(n1000, n1) = all_79_44 & minus(n4,
% 31.47/5.00 | n1) = all_79_45 & a_select2(sigma, pv23) = all_79_2 & geq(all_79_33,
% 31.47/5.00 | n0) = all_79_0 & geq(all_79_44, n0) = 0 & geq(all_79_45, n0) = 0 &
% 31.47/5.00 | geq(n7, n0) = all_79_43 & leq(pv23, all_79_33) = all_79_3 & leq(pv32,
% 31.47/5.00 | all_79_33) = all_79_7 & leq(pv31, all_79_33) = all_79_8 & leq(pv21,
% 31.47/5.00 | all_79_33) = all_79_12 & leq(pv21, n5) = all_79_11 & leq(pv5,
% 31.47/5.00 | all_79_44) = all_79_6 & leq(pv5, n588) = all_79_13 & leq(n6, n7) =
% 31.47/5.00 | all_79_17 & leq(n7, n7) = all_79_16 & leq(n5, all_79_33) = all_79_18 &
% 31.47/5.00 | leq(n5, n7) = all_79_19 & leq(n4, all_79_33) = all_79_20 & leq(n4, n7)
% 31.47/5.00 | = all_79_21 & leq(n3, all_79_33) = all_79_22 & leq(n3, all_79_45) =
% 31.47/5.00 | all_79_23 & leq(n3, n7) = all_79_24 & leq(n2, all_79_33) = all_79_25 &
% 31.47/5.00 | leq(n2, all_79_45) = all_79_26 & leq(n2, n7) = all_79_27 & leq(n1,
% 31.47/5.00 | all_79_33) = all_79_28 & leq(n1, all_79_45) = all_79_29 & leq(n1,
% 31.47/5.00 | n7) = all_79_30 & leq(n0, all_79_2) = all_79_1 & leq(n0, all_79_33)
% 31.47/5.00 | = all_79_32 & leq(n0, all_79_44) = all_79_31 & leq(n0, all_79_45) =
% 31.47/5.00 | all_79_34 & leq(n0, pv23) = all_79_4 & leq(n0, pv32) = all_79_9 &
% 31.47/5.00 | leq(n0, pv31) = all_79_10 & leq(n0, pv21) = all_79_14 & leq(n0, pv5) =
% 31.47/5.00 | all_79_15 & leq(n0, n6) = all_79_36 & leq(n0, n7) = all_79_35 &
% 31.47/5.00 | leq(n0, n5) = all_79_37 & leq(n0, n4) = all_79_38 & leq(n0, n3) =
% 31.47/5.00 | all_79_39 & leq(n0, n2) = all_79_40 & leq(n0, n1) = all_79_41 &
% 31.47/5.00 | leq(n0, n0) = all_79_42 & gt(pv5, n0) = all_79_5 & $i(all_79_2) &
% 31.47/5.00 | $i(all_79_33) & $i(all_79_44) & $i(all_79_45) & ? [v0: $i] :
% 31.47/5.00 | (all_79_43 = 0 & $i(v0) & ? [v1: $i] : ($i(v1) & ((all_79_0 = 0 & ~
% 31.47/5.00 | true) | (all_79_1 = 0 & all_79_3 = 0 & all_79_4 = 0 & ~ true)
% 31.47/5.00 | | (all_79_12 = 0 & all_79_13 = 0 & all_79_14 = 0 & all_79_15 = 0
% 31.47/5.00 | & ( ~ (all_79_11 = 0) | ~ (all_79_42 = 0))) | (all_79_13 = 0
% 31.47/5.00 | & all_79_15 = 0 & ~ true) | (all_79_13 = 0 & all_79_15 = 0 &
% 31.47/5.00 | ( ~ (all_79_6 = 0) | ~ (all_79_23 = 0) | ~ (all_79_25 = 0) |
% 31.47/5.00 | ~ (all_79_26 = 0) | ~ (all_79_28 = 0) | ~ (all_79_29 = 0)
% 31.47/5.00 | | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~ (all_79_39 =
% 31.47/5.00 | 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.47/5.00 | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~
% 31.47/5.00 | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 =
% 31.47/5.00 | 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.47/5.00 | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 =
% 31.47/5.00 | 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.47/5.00 | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 =
% 31.47/5.00 | 0))) | ( ~ (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.47/5.00 | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 =
% 31.47/5.00 | 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.47/5.00 | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 =
% 31.47/5.00 | 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.47/5.00 | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 =
% 31.47/5.00 | 0))))) | (true & ( ~ (all_79_16 = 0) | ~ (all_79_17 =
% 31.47/5.00 | 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.47/5.00 | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) |
% 31.47/5.00 | ~ (all_79_23 = 0) | ~ (all_79_24 = 0) | ~ (all_79_25 = 0)
% 31.47/5.00 | | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 =
% 31.47/5.00 | 0) | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.47/5.00 | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) |
% 31.47/5.00 | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0)
% 31.47/5.00 | | ~ (all_79_38 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 =
% 31.47/5.00 | 0) | ~ (all_79_41 = 0) | ~ (all_79_42 = 0))))))
% 31.47/5.00 |
% 31.47/5.00 | ALPHA: (74) implies:
% 31.47/5.00 | (75) $i(all_79_45)
% 31.47/5.00 | (76) $i(all_79_44)
% 31.47/5.00 | (77) leq(n0, n0) = all_79_42
% 31.47/5.00 | (78) leq(n0, n1) = all_79_41
% 31.47/5.00 | (79) leq(n0, n2) = all_79_40
% 31.47/5.00 | (80) leq(n0, n3) = all_79_39
% 31.47/5.00 | (81) leq(n0, n4) = all_79_38
% 31.47/5.00 | (82) leq(n0, n5) = all_79_37
% 31.47/5.00 | (83) leq(n0, n7) = all_79_35
% 31.47/5.00 | (84) leq(n0, n6) = all_79_36
% 31.47/5.00 | (85) leq(n0, all_79_45) = all_79_34
% 31.47/5.00 | (86) leq(n0, all_79_44) = all_79_31
% 31.47/5.00 | (87) leq(n0, all_79_33) = all_79_32
% 31.47/5.00 | (88) leq(n1, n7) = all_79_30
% 31.47/5.00 | (89) leq(n1, all_79_45) = all_79_29
% 31.47/5.00 | (90) leq(n1, all_79_33) = all_79_28
% 31.47/5.00 | (91) leq(n2, n7) = all_79_27
% 31.47/5.00 | (92) leq(n2, all_79_45) = all_79_26
% 31.47/5.00 | (93) leq(n2, all_79_33) = all_79_25
% 31.47/5.00 | (94) leq(n3, n7) = all_79_24
% 31.47/5.00 | (95) leq(n3, all_79_45) = all_79_23
% 31.47/5.00 | (96) leq(n3, all_79_33) = all_79_22
% 31.47/5.00 | (97) leq(n4, n7) = all_79_21
% 31.47/5.00 | (98) leq(n4, all_79_33) = all_79_20
% 31.47/5.00 | (99) leq(n5, n7) = all_79_19
% 31.47/5.00 | (100) leq(n5, all_79_33) = all_79_18
% 31.47/5.00 | (101) leq(n7, n7) = all_79_16
% 31.47/5.00 | (102) leq(n6, n7) = all_79_17
% 31.47/5.00 | (103) leq(pv5, n588) = all_79_13
% 31.47/5.00 | (104) leq(pv5, all_79_44) = all_79_6
% 31.47/5.00 | (105) leq(pv21, n5) = all_79_11
% 31.47/5.00 | (106) leq(pv21, all_79_33) = all_79_12
% 31.47/5.00 | (107) geq(n7, n0) = all_79_43
% 31.47/5.00 | (108) geq(all_79_45, n0) = 0
% 31.47/5.00 | (109) geq(all_79_44, n0) = 0
% 31.47/5.00 | (110) minus(n4, n1) = all_79_45
% 31.47/5.00 | (111) minus(n1000, n1) = all_79_44
% 31.47/5.00 | (112) minus(n6, n1) = all_79_33
% 31.67/5.01 | (113) ? [v0: $i] : (all_79_43 = 0 & $i(v0) & ? [v1: $i] : ($i(v1) &
% 31.67/5.01 | ((all_79_0 = 0 & ~ true) | (all_79_1 = 0 & all_79_3 = 0 &
% 31.67/5.01 | all_79_4 = 0 & ~ true) | (all_79_12 = 0 & all_79_13 = 0 &
% 31.67/5.01 | all_79_14 = 0 & all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~
% 31.67/5.01 | (all_79_42 = 0))) | (all_79_13 = 0 & all_79_15 = 0 & ~
% 31.67/5.01 | true) | (all_79_13 = 0 & all_79_15 = 0 & ( ~ (all_79_6 = 0) |
% 31.67/5.01 | ~ (all_79_23 = 0) | ~ (all_79_25 = 0) | ~ (all_79_26 =
% 31.67/5.01 | 0) | ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.67/5.01 | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~ (all_79_39 = 0) |
% 31.67/5.01 | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~ (all_79_42 =
% 31.67/5.01 | 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17
% 31.67/5.01 | = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.67/5.01 | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 =
% 31.67/5.01 | 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.67/5.01 | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 =
% 31.67/5.01 | 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.67/5.01 | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0)
% 31.67/5.01 | | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.67/5.01 | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 =
% 31.67/5.01 | 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.67/5.01 | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 =
% 31.67/5.01 | 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0))))) |
% 31.67/5.01 | (true & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.67/5.01 | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) |
% 31.67/5.01 | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~ (all_79_23 =
% 31.67/5.01 | 0) | ~ (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.67/5.01 | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 = 0) |
% 31.67/5.01 | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~ (all_79_31 =
% 31.67/5.01 | 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.67/5.01 | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) |
% 31.67/5.01 | ~ (all_79_38 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 =
% 31.67/5.01 | 0) | ~ (all_79_41 = 0) | ~ (all_79_42 = 0))))))
% 31.67/5.01 |
% 31.67/5.01 | DELTA: instantiating (113) with fresh symbol all_81_0 gives:
% 31.67/5.01 | (114) all_79_43 = 0 & $i(all_81_0) & ? [v0: $i] : ($i(v0) & ((all_79_0 = 0
% 31.67/5.01 | & ~ true) | (all_79_1 = 0 & all_79_3 = 0 & all_79_4 = 0 & ~
% 31.67/5.01 | true) | (all_79_12 = 0 & all_79_13 = 0 & all_79_14 = 0 &
% 31.67/5.01 | all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~ (all_79_42 = 0))) |
% 31.67/5.01 | (all_79_13 = 0 & all_79_15 = 0 & ~ true) | (all_79_13 = 0 &
% 31.67/5.01 | all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~ (all_79_23 = 0) | ~
% 31.67/5.01 | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~ (all_79_28 = 0) |
% 31.67/5.01 | ~ (all_79_29 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) |
% 31.67/5.01 | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0)
% 31.67/5.01 | | ~ (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0) |
% 31.67/5.01 | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 =
% 31.67/5.01 | 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.67/5.01 | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0)
% 31.67/5.01 | | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36
% 31.67/5.01 | = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.67/5.01 | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) |
% 31.67/5.01 | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 =
% 31.67/5.01 | 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.67/5.01 | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30 = 0)
% 31.67/5.01 | | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37
% 31.67/5.01 | = 0) | ~ (all_79_38 = 0))))) | (true & ( ~ (all_79_16
% 31.67/5.01 | = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.67/5.01 | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) |
% 31.67/5.01 | ~ (all_79_22 = 0) | ~ (all_79_23 = 0) | ~ (all_79_24 = 0) |
% 31.67/5.01 | ~ (all_79_25 = 0) | ~ (all_79_26 = 0) | ~ (all_79_27 = 0)
% 31.67/5.01 | | ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_30 =
% 31.67/5.01 | 0) | ~ (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.67/5.01 | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) |
% 31.67/5.01 | ~ (all_79_37 = 0) | ~ (all_79_38 = 0) | ~ (all_79_39 = 0) |
% 31.67/5.01 | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~ (all_79_42 =
% 31.67/5.01 | 0)))))
% 31.67/5.01 |
% 31.67/5.01 | ALPHA: (114) implies:
% 31.67/5.01 | (115) all_79_43 = 0
% 31.67/5.01 | (116) ? [v0: $i] : ($i(v0) & ((all_79_0 = 0 & ~ true) | (all_79_1 = 0 &
% 31.67/5.01 | all_79_3 = 0 & all_79_4 = 0 & ~ true) | (all_79_12 = 0 &
% 31.67/5.01 | all_79_13 = 0 & all_79_14 = 0 & all_79_15 = 0 & ( ~ (all_79_11
% 31.67/5.01 | = 0) | ~ (all_79_42 = 0))) | (all_79_13 = 0 & all_79_15 =
% 31.67/5.01 | 0 & ~ true) | (all_79_13 = 0 & all_79_15 = 0 & ( ~ (all_79_6 =
% 31.67/5.01 | 0) | ~ (all_79_23 = 0) | ~ (all_79_25 = 0) | ~
% 31.67/5.01 | (all_79_26 = 0) | ~ (all_79_28 = 0) | ~ (all_79_29 = 0) |
% 31.67/5.01 | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~ (all_79_39 = 0) |
% 31.67/5.01 | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.67/5.01 | | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) |
% 31.67/5.01 | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 =
% 31.67/5.01 | 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.67/5.01 | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30 = 0)
% 31.67/5.01 | | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37
% 31.67/5.01 | = 0) | ~ (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.67/5.01 | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0)
% 31.67/5.01 | | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21
% 31.67/5.01 | = 0) | ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.67/5.01 | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0)
% 31.67/5.01 | | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38
% 31.67/5.01 | = 0))))) | (true & ( ~ (all_79_16 = 0) | ~ (all_79_17
% 31.67/5.01 | = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.67/5.01 | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) |
% 31.67/5.01 | ~ (all_79_23 = 0) | ~ (all_79_24 = 0) | ~ (all_79_25 = 0) |
% 31.67/5.01 | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 = 0)
% 31.67/5.01 | | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~ (all_79_31 =
% 31.67/5.01 | 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.67/5.01 | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) |
% 31.67/5.01 | ~ (all_79_38 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) |
% 31.67/5.01 | ~ (all_79_41 = 0) | ~ (all_79_42 = 0)))))
% 31.67/5.01 |
% 31.67/5.01 | DELTA: instantiating (116) with fresh symbol all_83_0 gives:
% 31.67/5.01 | (117) $i(all_83_0) & ((all_79_0 = 0 & ~ true) | (all_79_1 = 0 & all_79_3 =
% 31.67/5.01 | 0 & all_79_4 = 0 & ~ true) | (all_79_12 = 0 & all_79_13 = 0 &
% 31.67/5.01 | all_79_14 = 0 & all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~
% 31.67/5.01 | (all_79_42 = 0))) | (all_79_13 = 0 & all_79_15 = 0 & ~ true) |
% 31.67/5.01 | (all_79_13 = 0 & all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~ (all_79_23
% 31.67/5.01 | = 0) | ~ (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.67/5.01 | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_32 = 0) | ~
% 31.67/5.01 | (all_79_34 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.67/5.01 | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 = 0 & ( ~
% 31.67/5.01 | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) |
% 31.67/5.01 | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 =
% 31.67/5.01 | 0) | ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.67/5.01 | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) |
% 31.67/5.01 | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 =
% 31.67/5.01 | 0))) | ( ~ (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.67/5.01 | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) |
% 31.67/5.01 | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 =
% 31.67/5.01 | 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.67/5.01 | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) |
% 31.67/5.01 | ~ (all_79_37 = 0) | ~ (all_79_38 = 0))))) | (true & ( ~
% 31.67/5.01 | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.67/5.01 | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.67/5.01 | (all_79_22 = 0) | ~ (all_79_23 = 0) | ~ (all_79_24 = 0) | ~
% 31.67/5.01 | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.67/5.01 | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.67/5.01 | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.67/5.01 | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.67/5.01 | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.67/5.01 | (all_79_41 = 0) | ~ (all_79_42 = 0))))
% 31.67/5.01 |
% 31.67/5.01 | ALPHA: (117) implies:
% 31.67/5.02 | (118) (all_79_0 = 0 & ~ true) | (all_79_1 = 0 & all_79_3 = 0 & all_79_4 =
% 31.67/5.02 | 0 & ~ true) | (all_79_12 = 0 & all_79_13 = 0 & all_79_14 = 0 &
% 31.67/5.02 | all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~ (all_79_42 = 0))) |
% 31.67/5.02 | (all_79_13 = 0 & all_79_15 = 0 & ~ true) | (all_79_13 = 0 &
% 31.67/5.02 | all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~ (all_79_23 = 0) | ~
% 31.67/5.02 | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~ (all_79_28 = 0) | ~
% 31.67/5.02 | (all_79_29 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.67/5.02 | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.67/5.02 | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~
% 31.67/5.02 | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) |
% 31.67/5.02 | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) |
% 31.67/5.02 | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30 = 0)
% 31.67/5.02 | | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 =
% 31.67/5.02 | 0) | ~ (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.67/5.02 | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) |
% 31.67/5.02 | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) |
% 31.67/5.02 | ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0)
% 31.67/5.02 | | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 =
% 31.67/5.02 | 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0))))) | (true &
% 31.67/5.02 | ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.67/5.02 | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.67/5.02 | (all_79_22 = 0) | ~ (all_79_23 = 0) | ~ (all_79_24 = 0) | ~
% 31.67/5.02 | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.67/5.02 | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.67/5.02 | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.67/5.02 | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.67/5.02 | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.67/5.02 | (all_79_41 = 0) | ~ (all_79_42 = 0)))
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (107), (115) imply:
% 31.67/5.02 | (119) geq(n7, n0) = 0
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_52_1, all_54_2, n0, simplifying with
% 31.67/5.02 | (50), (55) gives:
% 31.67/5.02 | (120) all_54_2 = all_52_1
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_54_2, all_56_3, n0, simplifying with
% 31.67/5.02 | (55), (61) gives:
% 31.67/5.02 | (121) all_56_3 = all_54_2
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_50_0, all_56_3, n0, simplifying with
% 31.67/5.02 | (46), (61) gives:
% 31.67/5.02 | (122) all_56_3 = all_50_0
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_52_1, all_58_4, n0, simplifying with
% 31.67/5.02 | (50), (68) gives:
% 31.67/5.02 | (123) all_58_4 = all_52_1
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with n1, all_58_4, n0, simplifying with (31),
% 31.67/5.02 | (68) gives:
% 31.67/5.02 | (124) all_58_4 = n1
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (123), (124) imply:
% 31.67/5.02 | (125) all_52_1 = n1
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (125) implies:
% 31.67/5.02 | (126) all_52_1 = n1
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (121), (122) imply:
% 31.67/5.02 | (127) all_54_2 = all_50_0
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (127) implies:
% 31.67/5.02 | (128) all_54_2 = all_50_0
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (120), (128) imply:
% 31.67/5.02 | (129) all_52_1 = all_50_0
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (129) implies:
% 31.67/5.02 | (130) all_52_1 = all_50_0
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (126), (130) imply:
% 31.67/5.02 | (131) all_50_0 = n1
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (128), (131) imply:
% 31.67/5.02 | (132) all_54_2 = n1
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (122), (131) imply:
% 31.67/5.02 | (133) all_56_3 = n1
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (69), (124) imply:
% 31.67/5.02 | (134) succ(n1) = all_58_3
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (62), (133) imply:
% 31.67/5.02 | (135) succ(n1) = all_56_2
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (56), (132) imply:
% 31.67/5.02 | (136) succ(n1) = all_54_1
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (51), (126) imply:
% 31.67/5.02 | (137) succ(n1) = all_52_0
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (47), (131) imply:
% 31.67/5.02 | (138) succ(n1) = n2
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (45), (131) imply:
% 31.67/5.02 | (139) $i(n1)
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with n2, all_56_2, n1, simplifying with (135),
% 31.67/5.02 | (138) gives:
% 31.67/5.02 | (140) all_56_2 = n2
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_56_2, all_58_3, n1, simplifying with
% 31.67/5.02 | (134), (135) gives:
% 31.67/5.02 | (141) all_58_3 = all_56_2
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_54_1, all_58_3, n1, simplifying with
% 31.67/5.02 | (134), (136) gives:
% 31.67/5.02 | (142) all_58_3 = all_54_1
% 31.67/5.02 |
% 31.67/5.02 | GROUND_INST: instantiating (42) with all_52_0, all_58_3, n1, simplifying with
% 31.67/5.02 | (134), (137) gives:
% 31.67/5.02 | (143) all_58_3 = all_52_0
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (141), (142) imply:
% 31.67/5.02 | (144) all_56_2 = all_54_1
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (144) implies:
% 31.67/5.02 | (145) all_56_2 = all_54_1
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (142), (143) imply:
% 31.67/5.02 | (146) all_54_1 = all_52_0
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (140), (145) imply:
% 31.67/5.02 | (147) all_54_1 = n2
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (147) implies:
% 31.67/5.02 | (148) all_54_1 = n2
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (146), (148) imply:
% 31.67/5.02 | (149) all_52_0 = n2
% 31.67/5.02 |
% 31.67/5.02 | SIMP: (149) implies:
% 31.67/5.02 | (150) all_52_0 = n2
% 31.67/5.02 |
% 31.67/5.02 | COMBINE_EQS: (142), (148) imply:
% 31.67/5.02 | (151) all_58_3 = n2
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (70), (151) imply:
% 31.67/5.02 | (152) succ(n2) = all_58_2
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (63), (140) imply:
% 31.67/5.02 | (153) succ(n2) = all_56_1
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (57), (148) imply:
% 31.67/5.02 | (154) succ(n2) = all_54_0
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (52), (150) imply:
% 31.67/5.02 | (155) succ(n2) = n3
% 31.67/5.02 |
% 31.67/5.02 | REDUCE: (49), (150) imply:
% 31.67/5.02 | (156) $i(n2)
% 31.67/5.02 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with all_54_0, all_56_1, n2, simplifying with
% 31.67/5.03 | (153), (154) gives:
% 31.67/5.03 | (157) all_56_1 = all_54_0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with all_56_1, all_58_2, n2, simplifying with
% 31.67/5.03 | (152), (153) gives:
% 31.67/5.03 | (158) all_58_2 = all_56_1
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with n3, all_58_2, n2, simplifying with (152),
% 31.67/5.03 | (155) gives:
% 31.67/5.03 | (159) all_58_2 = n3
% 31.67/5.03 |
% 31.67/5.03 | COMBINE_EQS: (158), (159) imply:
% 31.67/5.03 | (160) all_56_1 = n3
% 31.67/5.03 |
% 31.67/5.03 | SIMP: (160) implies:
% 31.67/5.03 | (161) all_56_1 = n3
% 31.67/5.03 |
% 31.67/5.03 | COMBINE_EQS: (157), (161) imply:
% 31.67/5.03 | (162) all_54_0 = n3
% 31.67/5.03 |
% 31.67/5.03 | SIMP: (162) implies:
% 31.67/5.03 | (163) all_54_0 = n3
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (71), (159) imply:
% 31.67/5.03 | (164) succ(n3) = all_58_1
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (64), (161) imply:
% 31.67/5.03 | (165) succ(n3) = all_56_0
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (58), (163) imply:
% 31.67/5.03 | (166) succ(n3) = n4
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (54), (163) imply:
% 31.67/5.03 | (167) $i(n3)
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with all_56_0, all_58_1, n3, simplifying with
% 31.67/5.03 | (164), (165) gives:
% 31.67/5.03 | (168) all_58_1 = all_56_0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with n4, all_58_1, n3, simplifying with (164),
% 31.67/5.03 | (166) gives:
% 31.67/5.03 | (169) all_58_1 = n4
% 31.67/5.03 |
% 31.67/5.03 | COMBINE_EQS: (168), (169) imply:
% 31.67/5.03 | (170) all_56_0 = n4
% 31.67/5.03 |
% 31.67/5.03 | SIMP: (170) implies:
% 31.67/5.03 | (171) all_56_0 = n4
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (72), (169) imply:
% 31.67/5.03 | (172) succ(n4) = all_58_0
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (65), (171) imply:
% 31.67/5.03 | (173) succ(n4) = n5
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (60), (171) imply:
% 31.67/5.03 | (174) $i(n4)
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (42) with n5, all_58_0, n4, simplifying with (172),
% 31.67/5.03 | (173) gives:
% 31.67/5.03 | (175) all_58_0 = n5
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (73), (175) imply:
% 31.67/5.03 | (176) succ(n5) = n6
% 31.67/5.03 |
% 31.67/5.03 | REDUCE: (67), (175) imply:
% 31.67/5.03 | (177) $i(n5)
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n1, n7, simplifying with (21), (36),
% 31.67/5.03 | (139) gives:
% 31.67/5.03 | (178) leq(n1, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n2, n7, simplifying with (24), (36),
% 31.67/5.03 | (156) gives:
% 31.67/5.03 | (179) leq(n2, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n3, n7, simplifying with (27), (36),
% 31.67/5.03 | (167) gives:
% 31.67/5.03 | (180) leq(n3, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n4, n7, simplifying with (9), (36),
% 31.67/5.03 | (174) gives:
% 31.67/5.03 | (181) leq(n4, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n5, n7, simplifying with (11), (36),
% 31.67/5.03 | (177) gives:
% 31.67/5.03 | (182) leq(n5, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n6, n7, simplifying with (12), (36),
% 31.67/5.03 | (37) gives:
% 31.67/5.03 | (183) leq(n6, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_gt1) with n0, n6, simplifying with (16), (34),
% 31.67/5.03 | (37) gives:
% 31.67/5.03 | (184) leq(n0, n6) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (reflexivity_leq) with n0, all_79_42, simplifying
% 31.67/5.03 | with (34), (77) gives:
% 31.67/5.03 | (185) all_79_42 = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (reflexivity_leq) with n7, all_79_16, simplifying
% 31.67/5.03 | with (36), (101) gives:
% 31.67/5.03 | (186) all_79_16 = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (1) with n7, n0, simplifying with (34), (36), (119)
% 31.67/5.03 | gives:
% 31.67/5.03 | (187) leq(n0, n7) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (1) with all_79_45, n0, simplifying with (34),
% 31.67/5.03 | (75), (108) gives:
% 31.67/5.03 | (188) leq(n0, all_79_45) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (1) with all_79_44, n0, simplifying with (34),
% 31.67/5.03 | (76), (109) gives:
% 31.67/5.03 | (189) leq(n0, all_79_44) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n0, n1, n2, simplifying with (17), (34),
% 31.67/5.03 | (138), (139) gives:
% 31.67/5.03 | (190) leq(n0, n1) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (6) with tptp_minus_1, n2, n0, n3, all_79_39,
% 31.67/5.03 | simplifying with (4), (13), (80), (155), (156) gives:
% 31.67/5.03 | (191) all_79_39 = 0 | ? [v0: int] : ( ~ (v0 = 0) & leq(tptp_minus_1, n2) =
% 31.67/5.03 | v0)
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (leq_succ) with n0, n2, n3, all_79_39, simplifying
% 31.67/5.03 | with (34), (80), (155), (156) gives:
% 31.67/5.03 | (192) all_79_39 = 0 | ? [v0: int] : ( ~ (v0 = 0) & leq(n0, n2) = v0)
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n0, n2, n3, simplifying with (18), (34),
% 31.67/5.03 | (155), (156) gives:
% 31.67/5.03 | (193) leq(n0, n2) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n3, n3, n4, simplifying with (25), (166),
% 31.67/5.03 | (167) gives:
% 31.67/5.03 | (194) leq(n3, n3) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n2, n3, n4, simplifying with (22), (156),
% 31.67/5.03 | (166), (167) gives:
% 31.67/5.03 | (195) leq(n2, n3) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n1, n3, n4, simplifying with (19), (139),
% 31.67/5.03 | (166), (167) gives:
% 31.67/5.03 | (196) leq(n1, n3) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (3) with n0, n3, n4, simplifying with (14), (34),
% 31.67/5.03 | (166), (167) gives:
% 31.67/5.03 | (197) leq(n0, n3) = 0
% 31.67/5.03 |
% 31.67/5.03 | GROUND_INST: instantiating (pred_succ) with n3, n4, simplifying with (166),
% 31.67/5.03 | (167) gives:
% 31.67/5.04 | (198) pred(n4) = n3
% 31.67/5.04 |
% 31.67/5.04 | GROUND_INST: instantiating (3) with n0, n4, n5, simplifying with (15), (34),
% 31.67/5.04 | (173), (174) gives:
% 31.67/5.04 | (199) leq(n0, n4) = 0
% 31.67/5.04 |
% 31.67/5.04 | GROUND_INST: instantiating (3) with n5, n5, n6, simplifying with (10), (176),
% 31.67/5.04 | (177) gives:
% 31.67/5.04 | (200) leq(n5, n5) = 0
% 31.67/5.04 |
% 31.67/5.04 | GROUND_INST: instantiating (3) with n4, n5, n6, simplifying with (8), (174),
% 31.67/5.04 | (176), (177) gives:
% 31.67/5.04 | (201) leq(n4, n5) = 0
% 31.67/5.04 |
% 31.67/5.04 | GROUND_INST: instantiating (3) with n3, n5, n6, simplifying with (26), (167),
% 31.67/5.04 | (176), (177) gives:
% 31.67/5.04 | (202) leq(n3, n5) = 0
% 31.67/5.04 |
% 31.67/5.04 | GROUND_INST: instantiating (3) with n2, n5, n6, simplifying with (23), (156),
% 31.67/5.04 | (176), (177) gives:
% 31.80/5.04 | (203) leq(n2, n5) = 0
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (3) with n1, n5, n6, simplifying with (20), (139),
% 31.80/5.04 | (176), (177) gives:
% 31.80/5.04 | (204) leq(n1, n5) = 0
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (3) with n0, n5, n6, simplifying with (16), (34),
% 31.80/5.04 | (176), (177) gives:
% 31.80/5.04 | (205) leq(n0, n5) = 0
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (pred_succ) with n5, n6, simplifying with (176),
% 31.80/5.04 | (177) gives:
% 31.80/5.04 | (206) pred(n6) = n5
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (5) with n4, all_79_45, simplifying with (110),
% 31.80/5.04 | (174) gives:
% 31.80/5.04 | (207) pred(n4) = all_79_45 & $i(all_79_45)
% 31.80/5.04 |
% 31.80/5.04 | ALPHA: (207) implies:
% 31.80/5.04 | (208) pred(n4) = all_79_45
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (5) with n1000, all_79_44, simplifying with (35),
% 31.80/5.04 | (111) gives:
% 31.80/5.04 | (209) pred(n1000) = all_79_44 & $i(all_79_44)
% 31.80/5.04 |
% 31.80/5.04 | ALPHA: (209) implies:
% 31.80/5.04 | (210) pred(n1000) = all_79_44
% 31.80/5.04 |
% 31.80/5.04 | GROUND_INST: instantiating (5) with n6, all_79_33, simplifying with (37),
% 31.80/5.04 | (112) gives:
% 31.80/5.04 | (211) pred(n6) = all_79_33 & $i(all_79_33)
% 31.80/5.04 |
% 31.80/5.04 | ALPHA: (211) implies:
% 31.80/5.04 | (212) pred(n6) = all_79_33
% 31.80/5.04 |
% 31.80/5.04 | BETA: splitting (192) gives:
% 31.80/5.04 |
% 31.80/5.04 | Case 1:
% 31.80/5.04 | |
% 31.80/5.04 | | (213) all_79_39 = 0
% 31.80/5.04 | |
% 31.80/5.04 | | GROUND_INST: instantiating (43) with all_79_36, 0, n6, n0, simplifying with
% 31.80/5.04 | | (84), (184) gives:
% 31.80/5.04 | | (214) all_79_36 = 0
% 31.80/5.04 | |
% 31.80/5.04 | | BETA: splitting (191) gives:
% 31.80/5.04 | |
% 31.80/5.04 | | Case 1:
% 31.80/5.04 | | |
% 31.80/5.04 | | |
% 31.80/5.04 | | | GROUND_INST: instantiating (43) with all_79_37, 0, n5, n0, simplifying
% 31.80/5.04 | | | with (82), (205) gives:
% 31.80/5.04 | | | (215) all_79_37 = 0
% 31.80/5.04 | | |
% 31.80/5.04 | | | BETA: splitting (191) gives:
% 31.80/5.04 | | |
% 31.80/5.04 | | | Case 1:
% 31.80/5.04 | | | |
% 31.80/5.04 | | | |
% 31.80/5.04 | | | | GROUND_INST: instantiating (43) with all_79_38, 0, n4, n0, simplifying
% 31.80/5.04 | | | | with (81), (199) gives:
% 31.80/5.04 | | | | (216) all_79_38 = 0
% 31.80/5.04 | | | |
% 31.80/5.04 | | | | BETA: splitting (192) gives:
% 31.80/5.04 | | | |
% 31.80/5.04 | | | | Case 1:
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_35, 0, n7, n0, simplifying
% 31.80/5.04 | | | | | with (83), (187) gives:
% 31.80/5.04 | | | | | (217) all_79_35 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_34, 0, all_79_45, n0,
% 31.80/5.04 | | | | | simplifying with (85), (188) gives:
% 31.80/5.04 | | | | | (218) all_79_34 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_31, 0, all_79_44, n0,
% 31.80/5.04 | | | | | simplifying with (86), (189) gives:
% 31.80/5.04 | | | | | (219) all_79_31 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_30, 0, n7, n1, simplifying
% 31.80/5.04 | | | | | with (88), (178) gives:
% 31.80/5.04 | | | | | (220) all_79_30 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_27, 0, n7, n2, simplifying
% 31.80/5.04 | | | | | with (91), (179) gives:
% 31.80/5.04 | | | | | (221) all_79_27 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_24, 0, n7, n3, simplifying
% 31.80/5.04 | | | | | with (94), (180) gives:
% 31.80/5.04 | | | | | (222) all_79_24 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_21, 0, n7, n4, simplifying
% 31.80/5.04 | | | | | with (97), (181) gives:
% 31.80/5.04 | | | | | (223) all_79_21 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_19, 0, n7, n5, simplifying
% 31.80/5.04 | | | | | with (99), (182) gives:
% 31.80/5.04 | | | | | (224) all_79_19 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with all_79_17, 0, n7, n6, simplifying
% 31.80/5.04 | | | | | with (102), (183) gives:
% 31.80/5.04 | | | | | (225) all_79_17 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (41) with n3, all_79_45, n4, simplifying
% 31.80/5.04 | | | | | with (198), (208) gives:
% 31.80/5.04 | | | | | (226) all_79_45 = n3
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (41) with n5, all_79_33, n6, simplifying
% 31.80/5.04 | | | | | with (206), (212) gives:
% 31.80/5.04 | | | | | (227) all_79_33 = n5
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (106), (227) imply:
% 31.80/5.04 | | | | | (228) leq(pv21, n5) = all_79_12
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (100), (227) imply:
% 31.80/5.04 | | | | | (229) leq(n5, n5) = all_79_18
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (98), (227) imply:
% 31.80/5.04 | | | | | (230) leq(n4, n5) = all_79_20
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (96), (227) imply:
% 31.80/5.04 | | | | | (231) leq(n3, n5) = all_79_22
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (95), (226) imply:
% 31.80/5.04 | | | | | (232) leq(n3, n3) = all_79_23
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (93), (227) imply:
% 31.80/5.04 | | | | | (233) leq(n2, n5) = all_79_25
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (92), (226) imply:
% 31.80/5.04 | | | | | (234) leq(n2, n3) = all_79_26
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (90), (227) imply:
% 31.80/5.04 | | | | | (235) leq(n1, n5) = all_79_28
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (89), (226) imply:
% 31.80/5.04 | | | | | (236) leq(n1, n3) = all_79_29
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | REDUCE: (87), (227) imply:
% 31.80/5.04 | | | | | (237) leq(n0, n5) = all_79_32
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_32, n5, n0, simplifying
% 31.80/5.04 | | | | | with (205), (237) gives:
% 31.80/5.04 | | | | | (238) all_79_32 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_29, n3, n1, simplifying
% 31.80/5.04 | | | | | with (196), (236) gives:
% 31.80/5.04 | | | | | (239) all_79_29 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_28, n5, n1, simplifying
% 31.80/5.04 | | | | | with (204), (235) gives:
% 31.80/5.04 | | | | | (240) all_79_28 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_26, n3, n2, simplifying
% 31.80/5.04 | | | | | with (195), (234) gives:
% 31.80/5.04 | | | | | (241) all_79_26 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_25, n5, n2, simplifying
% 31.80/5.04 | | | | | with (203), (233) gives:
% 31.80/5.04 | | | | | (242) all_79_25 = 0
% 31.80/5.04 | | | | |
% 31.80/5.04 | | | | | GROUND_INST: instantiating (43) with 0, all_79_23, n3, n3, simplifying
% 31.80/5.04 | | | | | with (194), (232) gives:
% 31.80/5.04 | | | | | (243) all_79_23 = 0
% 31.80/5.04 | | | | |
% 31.80/5.05 | | | | | GROUND_INST: instantiating (43) with 0, all_79_22, n5, n3, simplifying
% 31.80/5.05 | | | | | with (202), (231) gives:
% 31.80/5.05 | | | | | (244) all_79_22 = 0
% 31.80/5.05 | | | | |
% 31.80/5.05 | | | | | GROUND_INST: instantiating (43) with 0, all_79_20, n5, n4, simplifying
% 31.80/5.05 | | | | | with (201), (230) gives:
% 31.80/5.05 | | | | | (245) all_79_20 = 0
% 31.80/5.05 | | | | |
% 31.80/5.05 | | | | | GROUND_INST: instantiating (43) with 0, all_79_18, n5, n5, simplifying
% 31.80/5.05 | | | | | with (200), (229) gives:
% 31.80/5.05 | | | | | (246) all_79_18 = 0
% 31.80/5.05 | | | | |
% 31.80/5.05 | | | | | GROUND_INST: instantiating (43) with all_79_11, all_79_12, n5, pv21,
% 31.80/5.05 | | | | | simplifying with (105), (228) gives:
% 31.80/5.05 | | | | | (247) all_79_11 = all_79_12
% 31.80/5.05 | | | | |
% 31.80/5.05 | | | | | BETA: splitting (118) gives:
% 31.80/5.05 | | | | |
% 31.80/5.05 | | | | | Case 1:
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | (248) (all_79_0 = 0 & ~ true) | (all_79_1 = 0 & all_79_3 = 0 &
% 31.80/5.05 | | | | | | all_79_4 = 0 & ~ true) | (all_79_12 = 0 & all_79_13 = 0
% 31.80/5.05 | | | | | | & all_79_14 = 0 & all_79_15 = 0 & ( ~ (all_79_11 = 0) |
% 31.80/5.05 | | | | | | ~ (all_79_42 = 0)))
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | BETA: splitting (248) gives:
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | Case 1:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | (249) all_79_0 = 0 & ~ true
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | ALPHA: (249) implies:
% 31.80/5.05 | | | | | | | (250) ~ true
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | PRED_UNIFY: (250), (ttrue) imply:
% 31.80/5.05 | | | | | | | (251) $false
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | CLOSE: (251) is inconsistent.
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | Case 2:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | (252) (all_79_1 = 0 & all_79_3 = 0 & all_79_4 = 0 & ~ true) |
% 31.80/5.05 | | | | | | | (all_79_12 = 0 & all_79_13 = 0 & all_79_14 = 0 &
% 31.80/5.05 | | | | | | | all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~ (all_79_42 =
% 31.80/5.05 | | | | | | | 0)))
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | BETA: splitting (252) gives:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | Case 1:
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | (253) all_79_1 = 0 & all_79_3 = 0 & all_79_4 = 0 & ~ true
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | ALPHA: (253) implies:
% 31.80/5.05 | | | | | | | | (254) ~ true
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | PRED_UNIFY: (254), (ttrue) imply:
% 31.80/5.05 | | | | | | | | (255) $false
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | CLOSE: (255) is inconsistent.
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | Case 2:
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | (256) all_79_12 = 0 & all_79_13 = 0 & all_79_14 = 0 &
% 31.80/5.05 | | | | | | | | all_79_15 = 0 & ( ~ (all_79_11 = 0) | ~ (all_79_42 =
% 31.80/5.05 | | | | | | | | 0))
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | ALPHA: (256) implies:
% 31.80/5.05 | | | | | | | | (257) all_79_12 = 0
% 31.80/5.05 | | | | | | | | (258) ~ (all_79_11 = 0) | ~ (all_79_42 = 0)
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | COMBINE_EQS: (247), (257) imply:
% 31.80/5.05 | | | | | | | | (259) all_79_11 = 0
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | BETA: splitting (258) gives:
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | Case 1:
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | (260) ~ (all_79_11 = 0)
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | REDUCE: (259), (260) imply:
% 31.80/5.05 | | | | | | | | | (261) $false
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | CLOSE: (261) is inconsistent.
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | Case 2:
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | (262) ~ (all_79_42 = 0)
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | REDUCE: (185), (262) imply:
% 31.80/5.05 | | | | | | | | | (263) $false
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | | CLOSE: (263) is inconsistent.
% 31.80/5.05 | | | | | | | | |
% 31.80/5.05 | | | | | | | | End of split
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | End of split
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | End of split
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | Case 2:
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | (264) (all_79_13 = 0 & all_79_15 = 0 & ~ true) | (all_79_13 = 0
% 31.80/5.05 | | | | | | & all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~ (all_79_23 = 0)
% 31.80/5.05 | | | | | | | ~ (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_32 =
% 31.80/5.05 | | | | | | 0) | ~ (all_79_34 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~ (all_79_42 =
% 31.80/5.05 | | | | | | 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.05 | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))))) | (true &
% 31.80/5.05 | | | | | | ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18
% 31.80/5.05 | | | | | | = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~ (all_79_23 =
% 31.80/5.05 | | | | | | 0) | ~ (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 =
% 31.80/5.05 | | | | | | 0) | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 =
% 31.80/5.05 | | | | | | 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~ (all_79_39 =
% 31.80/5.05 | | | | | | 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.05 | | | | | | (all_79_42 = 0)))
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | BETA: splitting (264) gives:
% 31.80/5.05 | | | | | |
% 31.80/5.05 | | | | | | Case 1:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | (265) all_79_13 = 0 & all_79_15 = 0 & ~ true
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | ALPHA: (265) implies:
% 31.80/5.05 | | | | | | | (266) ~ true
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | PRED_UNIFY: (266), (ttrue) imply:
% 31.80/5.05 | | | | | | | (267) $false
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | CLOSE: (267) is inconsistent.
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | Case 2:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | (268) (all_79_13 = 0 & all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_23 = 0) | ~ (all_79_25 = 0) | ~ (all_79_26
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~ (all_79_39
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0)
% 31.80/5.05 | | | | | | | | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.05 | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))))) | (true
% 31.80/5.05 | | | | | | | & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_23 = 0) | ~ (all_79_24 = 0) | ~ (all_79_25
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_30
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.05 | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~ (all_79_41
% 31.80/5.05 | | | | | | | = 0) | ~ (all_79_42 = 0)))
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | BETA: splitting (268) gives:
% 31.80/5.05 | | | | | | |
% 31.80/5.05 | | | | | | | Case 1:
% 31.80/5.05 | | | | | | | |
% 31.80/5.05 | | | | | | | | (269) all_79_13 = 0 & all_79_15 = 0 & ( ~ (all_79_6 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_23 = 0) | ~ (all_79_25 = 0) | ~ (all_79_26
% 31.80/5.05 | | | | | | | | = 0) | ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~ (all_79_39
% 31.80/5.05 | | | | | | | | = 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 = 0)
% 31.80/5.05 | | | | | | | | | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.05 | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.05 | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))))
% 31.80/5.06 | | | | | | | |
% 31.80/5.06 | | | | | | | | ALPHA: (269) implies:
% 31.80/5.06 | | | | | | | | (270) all_79_13 = 0
% 31.80/5.06 | | | | | | | | (271) ~ (all_79_6 = 0) | ~ (all_79_23 = 0) | ~ (all_79_25
% 31.80/5.06 | | | | | | | | = 0) | ~ (all_79_26 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_29 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 =
% 31.80/5.06 | | | | | | | | 0) | ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 = 0 &
% 31.80/5.06 | | | | | | | | ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.06 | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~ (all_79_17
% 31.80/5.06 | | | | | | | | = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) |
% 31.80/5.06 | | | | | | | | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.06 | | | | | | | |
% 31.80/5.06 | | | | | | | | REDUCE: (103), (270) imply:
% 31.80/5.06 | | | | | | | | (272) leq(pv5, n588) = 0
% 31.80/5.06 | | | | | | | |
% 31.80/5.06 | | | | | | | | BETA: splitting (271) gives:
% 31.80/5.06 | | | | | | | |
% 31.80/5.06 | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | (273) ~ (all_79_6 = 0)
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | GROUND_INST: instantiating (transitivity_leq) with pv5, n588,
% 31.80/5.06 | | | | | | | | | all_79_44, all_79_6, simplifying with (38), (39),
% 31.80/5.06 | | | | | | | | | (76), (104), (272) gives:
% 31.80/5.06 | | | | | | | | | (274) all_79_6 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 31.80/5.06 | | | | | | | | | leq(n588, all_79_44) = v0)
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | GROUND_INST: instantiating (2) with pv5, n1000, all_79_44,
% 31.80/5.06 | | | | | | | | | all_79_6, simplifying with (35), (38), (104),
% 31.80/5.06 | | | | | | | | | (210) gives:
% 31.80/5.06 | | | | | | | | | (275) all_79_6 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 31.80/5.06 | | | | | | | | | gt(n1000, pv5) = v0)
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | GROUND_INST: instantiating (succ_pred) with n1000, all_79_44,
% 31.80/5.06 | | | | | | | | | simplifying with (35), (210) gives:
% 31.80/5.06 | | | | | | | | | (276) succ(all_79_44) = n1000
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | BETA: splitting (274) gives:
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | (277) all_79_6 = 0
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | REDUCE: (273), (277) imply:
% 31.80/5.06 | | | | | | | | | | (278) $false
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | CLOSE: (278) is inconsistent.
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | (279) ? [v0: int] : ( ~ (v0 = 0) & leq(n588, all_79_44)
% 31.80/5.06 | | | | | | | | | | = v0)
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | DELTA: instantiating (279) with fresh symbol all_165_0
% 31.80/5.06 | | | | | | | | | | gives:
% 31.80/5.06 | | | | | | | | | | (280) ~ (all_165_0 = 0) & leq(n588, all_79_44) =
% 31.80/5.06 | | | | | | | | | | all_165_0
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | ALPHA: (280) implies:
% 31.80/5.06 | | | | | | | | | | (281) ~ (all_165_0 = 0)
% 31.80/5.06 | | | | | | | | | | (282) leq(n588, all_79_44) = all_165_0
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | BETA: splitting (275) gives:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | (283) all_79_6 = 0
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | REDUCE: (273), (283) imply:
% 31.80/5.06 | | | | | | | | | | | (284) $false
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | CLOSE: (284) is inconsistent.
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | GROUND_INST: instantiating (3) with n588, all_79_44, n1000,
% 31.80/5.06 | | | | | | | | | | | simplifying with (7), (39), (76), (276) gives:
% 31.80/5.06 | | | | | | | | | | | (285) leq(n588, all_79_44) = 0
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | GROUND_INST: instantiating (43) with all_165_0, 0, all_79_44,
% 31.80/5.06 | | | | | | | | | | | n588, simplifying with (282), (285) gives:
% 31.80/5.06 | | | | | | | | | | | (286) all_165_0 = 0
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | REDUCE: (281), (286) imply:
% 31.80/5.06 | | | | | | | | | | | (287) $false
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | CLOSE: (287) is inconsistent.
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | End of split
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | End of split
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | (288) ~ (all_79_23 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_26 = 0) | ~ (all_79_28 = 0) | ~ (all_79_29
% 31.80/5.06 | | | | | | | | | = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~ (all_79_41
% 31.80/5.06 | | | | | | | | | = 0) | ~ (all_79_42 = 0) | (all_79_5 = 0 & ( ~
% 31.80/5.06 | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.06 | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.06 | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | BETA: splitting (288) gives:
% 31.80/5.06 | | | | | | | | |
% 31.80/5.06 | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | (289) ~ (all_79_23 = 0)
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | REDUCE: (243), (289) imply:
% 31.80/5.06 | | | | | | | | | | (290) $false
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | CLOSE: (290) is inconsistent.
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | (291) ~ (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 =
% 31.80/5.06 | | | | | | | | | | 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.06 | | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.06 | | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | BETA: splitting (291) gives:
% 31.80/5.06 | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | (292) ~ (all_79_25 = 0)
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | REDUCE: (242), (292) imply:
% 31.80/5.06 | | | | | | | | | | | (293) $false
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | (294) ~ (all_79_26 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 =
% 31.80/5.06 | | | | | | | | | | | 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0)
% 31.80/5.06 | | | | | | | | | | | | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.06 | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | BETA: splitting (294) gives:
% 31.80/5.06 | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | (295) ~ (all_79_26 = 0)
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | REDUCE: (241), (295) imply:
% 31.80/5.06 | | | | | | | | | | | | (296) $false
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | (297) ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 =
% 31.80/5.06 | | | | | | | | | | | | 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) |
% 31.80/5.06 | | | | | | | | | | | | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.06 | | | | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | BETA: splitting (297) gives:
% 31.80/5.06 | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | Case 1:
% 31.80/5.06 | | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | | (298) ~ (all_79_28 = 0)
% 31.80/5.06 | | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | | REDUCE: (240), (298) imply:
% 31.80/5.06 | | | | | | | | | | | | | (299) $false
% 31.80/5.06 | | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 31.80/5.06 | | | | | | | | | | | | |
% 31.80/5.06 | | | | | | | | | | | | Case 2:
% 31.80/5.06 | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | (300) ~ (all_79_29 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 =
% 31.80/5.07 | | | | | | | | | | | | | 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | BETA: splitting (300) gives:
% 31.80/5.07 | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | (301) ~ (all_79_29 = 0)
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | REDUCE: (239), (301) imply:
% 31.80/5.07 | | | | | | | | | | | | | | (302) $false
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | (303) ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 =
% 31.80/5.07 | | | | | | | | | | | | | | 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) |
% 31.80/5.07 | | | | | | | | | | | | | | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 31.80/5.07 | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | (304) ~ (all_79_32 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | REDUCE: (238), (304) imply:
% 31.80/5.07 | | | | | | | | | | | | | | | (305) $false
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent.
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | (306) ~ (all_79_34 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 =
% 31.80/5.07 | | | | | | | | | | | | | | | 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 31.80/5.07 | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | (307) ~ (all_79_34 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | REDUCE: (218), (307) imply:
% 31.80/5.07 | | | | | | | | | | | | | | | | (308) $false
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | (309) ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0) | (all_79_5 =
% 31.80/5.07 | | | | | | | | | | | | | | | | 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) |
% 31.80/5.07 | | | | | | | | | | | | | | | | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 31.80/5.07 | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | (310) ~ (all_79_39 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (80), (197), (310) are inconsistent by
% 31.80/5.07 | | | | | | | | | | | | | | | | | sub-proof #4.
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | (311) ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_42 = 0) | (all_79_5 = 0 & ( ~ (all_79_16 =
% 31.80/5.07 | | | | | | | | | | | | | | | | | 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 31.80/5.07 | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (312) ~ (all_79_40 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (79), (193), (312) are inconsistent by
% 31.80/5.07 | | | | | | | | | | | | | | | | | | sub-proof #3.
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (313) ~ (all_79_41 = 0) | ~ (all_79_42 = 0) |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 31.80/5.07 | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (314) ~ (all_79_41 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (78), (190), (314) are inconsistent by
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (315) ~ (all_79_42 = 0) | (all_79_5 = 0 & ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))) | ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (316) ~ (all_79_42 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (316) imply:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (317) $false
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (318) (all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0))) | ( ~ (all_79_5 = 0) & ( ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)))
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (319) all_79_5 = 0 & ( ~ (all_79_16 = 0) | ~ (all_79_17
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0))
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (320) ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.07 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (186), (214), (215), (216), (217), (220), (221),
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (244), (245), (246),
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (320) are inconsistent by sub-proof #1.
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (321) ~ (all_79_5 = 0) & ( ~ (all_79_16 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0))
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies:
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (322) ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (186), (214), (215), (216), (217), (220), (221),
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (244), (245), (246),
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | | (322) are inconsistent by sub-proof #1.
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | End of split
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | End of split
% 31.80/5.08 | | | | | | | |
% 31.80/5.08 | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | |
% 31.80/5.08 | | | | | | | | (323) true & ( ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_23 = 0) | ~ (all_79_24 = 0) | ~ (all_79_25
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~ (all_79_30
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~ (all_79_41
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_42 = 0))
% 31.80/5.08 | | | | | | | |
% 31.80/5.08 | | | | | | | | ALPHA: (323) implies:
% 31.80/5.08 | | | | | | | | (324) ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18
% 31.80/5.08 | | | | | | | | = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~ (all_79_23 =
% 31.80/5.08 | | | | | | | | 0) | ~ (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 =
% 31.80/5.08 | | | | | | | | 0) | ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 =
% 31.80/5.08 | | | | | | | | 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~ (all_79_39 =
% 31.80/5.08 | | | | | | | | 0) | ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.08 | | | | | | | | (all_79_42 = 0)
% 31.80/5.08 | | | | | | | |
% 31.80/5.08 | | | | | | | | BETA: splitting (324) gives:
% 31.80/5.08 | | | | | | | |
% 31.80/5.08 | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | (325) ~ (all_79_16 = 0)
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | REDUCE: (186), (325) imply:
% 31.80/5.08 | | | | | | | | | (326) $false
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | CLOSE: (326) is inconsistent.
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | (327) ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.08 | | | | | | | | | (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21
% 31.80/5.08 | | | | | | | | | = 0) | ~ (all_79_22 = 0) | ~ (all_79_23 = 0) | ~
% 31.80/5.08 | | | | | | | | | (all_79_24 = 0) | ~ (all_79_25 = 0) | ~ (all_79_26
% 31.80/5.08 | | | | | | | | | = 0) | ~ (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.08 | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~ (all_79_31
% 31.80/5.08 | | | | | | | | | = 0) | ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.08 | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37
% 31.80/5.08 | | | | | | | | | = 0) | ~ (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.08 | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~ (all_79_42
% 31.80/5.08 | | | | | | | | | = 0)
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | BETA: splitting (327) gives:
% 31.80/5.08 | | | | | | | | |
% 31.80/5.08 | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | (328) ~ (all_79_17 = 0)
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | REDUCE: (225), (328) imply:
% 31.80/5.08 | | | | | | | | | | (329) $false
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | CLOSE: (329) is inconsistent.
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | (330) ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_23 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.08 | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | BETA: splitting (330) gives:
% 31.80/5.08 | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | (331) ~ (all_79_18 = 0)
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | REDUCE: (246), (331) imply:
% 31.80/5.08 | | | | | | | | | | | (332) $false
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | (333) ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_23 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | BETA: splitting (333) gives:
% 31.80/5.08 | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | (334) ~ (all_79_19 = 0)
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | REDUCE: (224), (334) imply:
% 31.80/5.08 | | | | | | | | | | | | (335) $false
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | CLOSE: (335) is inconsistent.
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | (336) ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_22 = 0) | ~ (all_79_23 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | BETA: splitting (336) gives:
% 31.80/5.08 | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | (337) ~ (all_79_20 = 0)
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | REDUCE: (245), (337) imply:
% 31.80/5.08 | | | | | | | | | | | | | (338) $false
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | CLOSE: (338) is inconsistent.
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | (339) ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_23 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | BETA: splitting (339) gives:
% 31.80/5.08 | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | (340) ~ (all_79_21 = 0)
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | REDUCE: (223), (340) imply:
% 31.80/5.08 | | | | | | | | | | | | | | (341) $false
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | CLOSE: (341) is inconsistent.
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | (342) ~ (all_79_22 = 0) | ~ (all_79_23 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 31.80/5.08 | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | (343) ~ (all_79_22 = 0)
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | REDUCE: (244), (343) imply:
% 31.80/5.08 | | | | | | | | | | | | | | | (344) $false
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent.
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | (345) ~ (all_79_23 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.08 | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 31.80/5.08 | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | Case 1:
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | (346) ~ (all_79_23 = 0)
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | REDUCE: (243), (346) imply:
% 31.80/5.08 | | | | | | | | | | | | | | | | (347) $false
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | | CLOSE: (347) is inconsistent.
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.08 | | | | | | | | | | | | | | | Case 2:
% 31.80/5.08 | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | (348) ~ (all_79_24 = 0) | ~ (all_79_25 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | (349) ~ (all_79_24 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | REDUCE: (222), (349) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | (350) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | CLOSE: (350) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | (351) ~ (all_79_25 = 0) | ~ (all_79_26 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (352) ~ (all_79_25 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | REDUCE: (242), (352) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (353) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (354) ~ (all_79_26 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (355) ~ (all_79_26 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | REDUCE: (241), (355) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (356) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (357) ~ (all_79_27 = 0) | ~ (all_79_28 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (358) ~ (all_79_27 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (221), (358) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (359) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (360) ~ (all_79_28 = 0) | ~ (all_79_29 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (361) ~ (all_79_28 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (240), (361) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (362) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (363) ~ (all_79_29 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (364) ~ (all_79_29 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (239), (364) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (365) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (365) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (366) ~ (all_79_30 = 0) | ~ (all_79_31 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (367) ~ (all_79_30 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (220), (367) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (368) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (369) ~ (all_79_31 = 0) | ~ (all_79_32 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (370) ~ (all_79_31 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (370) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (371) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (371) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (372) ~ (all_79_32 = 0) | ~ (all_79_34 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (373) ~ (all_79_32 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (373) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (374) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_79_34 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (376) ~ (all_79_34 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (218), (376) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (377) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (378) ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) ~ (all_79_35 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (217), (379) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) ~ (all_79_36 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (382) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (383) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) ~ (all_79_37 = 0) | ~ (all_79_38 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_79_37 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (385) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) ~ (all_79_38 = 0) | ~ (all_79_39 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) ~ (all_79_38 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (388) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) ~ (all_79_39 = 0) | ~ (all_79_40 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) ~ (all_79_39 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (80), (197), (391) are inconsistent by
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) ~ (all_79_40 = 0) | ~ (all_79_41 = 0) | ~
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) ~ (all_79_40 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (79), (193), (393) are inconsistent by
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) ~ (all_79_41 = 0) | ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) ~ (all_79_41 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (78), (190), (395) are inconsistent by
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) ~ (all_79_42 = 0)
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (396) imply:
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) $false
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (397) is inconsistent.
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | | |
% 31.80/5.09 | | | | | | | | | End of split
% 31.80/5.09 | | | | | | | | |
% 31.80/5.09 | | | | | | | | End of split
% 31.80/5.09 | | | | | | | |
% 31.80/5.09 | | | | | | | End of split
% 31.80/5.09 | | | | | | |
% 31.80/5.09 | | | | | | End of split
% 31.80/5.09 | | | | | |
% 31.80/5.09 | | | | | End of split
% 31.80/5.09 | | | | |
% 31.80/5.10 | | | | Case 2:
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | (398) ~ (all_79_39 = 0)
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | REF_CLOSE: (43), (80), (197), (398) are inconsistent by sub-proof #4.
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | End of split
% 31.80/5.10 | | | |
% 31.80/5.10 | | | Case 2:
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | (399) ~ (all_79_39 = 0)
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | REF_CLOSE: (43), (80), (197), (399) are inconsistent by sub-proof #4.
% 31.80/5.10 | | | |
% 31.80/5.10 | | | End of split
% 31.80/5.10 | | |
% 31.80/5.10 | | Case 2:
% 31.80/5.10 | | |
% 31.80/5.10 | | | (400) ~ (all_79_39 = 0)
% 31.80/5.10 | | |
% 31.80/5.10 | | | REF_CLOSE: (43), (80), (197), (400) are inconsistent by sub-proof #4.
% 31.80/5.10 | | |
% 31.80/5.10 | | End of split
% 31.80/5.10 | |
% 31.80/5.10 | Case 2:
% 31.80/5.10 | |
% 31.80/5.10 | | (401) ~ (all_79_39 = 0)
% 31.80/5.10 | |
% 31.80/5.10 | | REF_CLOSE: (43), (80), (197), (401) are inconsistent by sub-proof #4.
% 31.80/5.10 | |
% 31.80/5.10 | End of split
% 31.80/5.10 |
% 31.80/5.10 End of proof
% 31.80/5.10
% 31.80/5.10 Sub-proof #1 shows that the following formulas are inconsistent:
% 31.80/5.10 ----------------------------------------------------------------
% 31.80/5.10 (1) all_79_30 = 0
% 31.80/5.10 (2) all_79_18 = 0
% 31.80/5.10 (3) all_79_38 = 0
% 31.80/5.10 (4) all_79_24 = 0
% 31.80/5.10 (5) all_79_36 = 0
% 31.80/5.10 (6) all_79_37 = 0
% 31.80/5.10 (7) all_79_19 = 0
% 31.80/5.10 (8) all_79_16 = 0
% 31.80/5.10 (9) all_79_20 = 0
% 31.80/5.10 (10) all_79_35 = 0
% 31.80/5.10 (11) all_79_22 = 0
% 31.80/5.10 (12) ~ (all_79_16 = 0) | ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~
% 31.80/5.10 (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~
% 31.80/5.10 (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.10 (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.10 (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 (13) all_79_27 = 0
% 31.80/5.10 (14) all_79_17 = 0
% 31.80/5.10 (15) all_79_21 = 0
% 31.80/5.10
% 31.80/5.10 Begin of proof
% 31.80/5.10 |
% 31.80/5.10 | BETA: splitting (12) gives:
% 31.80/5.10 |
% 31.80/5.10 | Case 1:
% 31.80/5.10 | |
% 31.80/5.10 | | (16) ~ (all_79_16 = 0)
% 31.80/5.10 | |
% 31.80/5.10 | | REDUCE: (8), (16) imply:
% 31.80/5.10 | | (17) $false
% 31.80/5.10 | |
% 31.80/5.10 | | CLOSE: (17) is inconsistent.
% 31.80/5.10 | |
% 31.80/5.10 | Case 2:
% 31.80/5.10 | |
% 31.80/5.10 | | (18) ~ (all_79_17 = 0) | ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~
% 31.80/5.10 | | (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~
% 31.80/5.10 | | (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.10 | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.10 | | (all_79_38 = 0)
% 31.80/5.10 | |
% 31.80/5.10 | | BETA: splitting (18) gives:
% 31.80/5.10 | |
% 31.80/5.10 | | Case 1:
% 31.80/5.10 | | |
% 31.80/5.10 | | | (19) ~ (all_79_17 = 0)
% 31.80/5.10 | | |
% 31.80/5.10 | | | REDUCE: (14), (19) imply:
% 31.80/5.10 | | | (20) $false
% 31.80/5.10 | | |
% 31.80/5.10 | | | CLOSE: (20) is inconsistent.
% 31.80/5.10 | | |
% 31.80/5.10 | | Case 2:
% 31.80/5.10 | | |
% 31.80/5.10 | | | (21) ~ (all_79_18 = 0) | ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~
% 31.80/5.10 | | | (all_79_21 = 0) | ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~
% 31.80/5.10 | | | (all_79_27 = 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.10 | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | |
% 31.80/5.10 | | | BETA: splitting (21) gives:
% 31.80/5.10 | | |
% 31.80/5.10 | | | Case 1:
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | (22) ~ (all_79_18 = 0)
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | REDUCE: (2), (22) imply:
% 31.80/5.10 | | | | (23) $false
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | CLOSE: (23) is inconsistent.
% 31.80/5.10 | | | |
% 31.80/5.10 | | | Case 2:
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | (24) ~ (all_79_19 = 0) | ~ (all_79_20 = 0) | ~ (all_79_21 = 0) |
% 31.80/5.10 | | | | ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~
% 31.80/5.10 | | | | (all_79_30 = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.10 | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | BETA: splitting (24) gives:
% 31.80/5.10 | | | |
% 31.80/5.10 | | | | Case 1:
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | (25) ~ (all_79_19 = 0)
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | REDUCE: (7), (25) imply:
% 31.80/5.10 | | | | | (26) $false
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | CLOSE: (26) is inconsistent.
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | Case 2:
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | (27) ~ (all_79_20 = 0) | ~ (all_79_21 = 0) | ~ (all_79_22 = 0) |
% 31.80/5.10 | | | | | ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30 = 0) |
% 31.80/5.10 | | | | | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) |
% 31.80/5.10 | | | | | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | BETA: splitting (27) gives:
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | | Case 1:
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | (28) ~ (all_79_20 = 0)
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | REDUCE: (9), (28) imply:
% 31.80/5.10 | | | | | | (29) $false
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | CLOSE: (29) is inconsistent.
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | Case 2:
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | (30) ~ (all_79_21 = 0) | ~ (all_79_22 = 0) | ~ (all_79_24 = 0)
% 31.80/5.10 | | | | | | | ~ (all_79_27 = 0) | ~ (all_79_30 = 0) | ~ (all_79_35 =
% 31.80/5.10 | | | | | | 0) | ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.10 | | | | | | (all_79_38 = 0)
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | BETA: splitting (30) gives:
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | | Case 1:
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | (31) ~ (all_79_21 = 0)
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | REDUCE: (15), (31) imply:
% 31.80/5.10 | | | | | | | (32) $false
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | CLOSE: (32) is inconsistent.
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | Case 2:
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | (33) ~ (all_79_22 = 0) | ~ (all_79_24 = 0) | ~ (all_79_27 =
% 31.80/5.10 | | | | | | | 0) | ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.10 | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | BETA: splitting (33) gives:
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | (34) ~ (all_79_22 = 0)
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | REDUCE: (11), (34) imply:
% 31.80/5.10 | | | | | | | | (35) $false
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | CLOSE: (35) is inconsistent.
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | (36) ~ (all_79_24 = 0) | ~ (all_79_27 = 0) | ~ (all_79_30
% 31.80/5.10 | | | | | | | | = 0) | ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.10 | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | BETA: splitting (36) gives:
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | (37) ~ (all_79_24 = 0)
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | REDUCE: (4), (37) imply:
% 31.80/5.10 | | | | | | | | | (38) $false
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | CLOSE: (38) is inconsistent.
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | (39) ~ (all_79_27 = 0) | ~ (all_79_30 = 0) | ~
% 31.80/5.10 | | | | | | | | | (all_79_35 = 0) | ~ (all_79_36 = 0) | ~ (all_79_37 =
% 31.80/5.10 | | | | | | | | | 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | BETA: splitting (39) gives:
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | (40) ~ (all_79_27 = 0)
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | REDUCE: (13), (40) imply:
% 31.80/5.10 | | | | | | | | | | (41) $false
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | CLOSE: (41) is inconsistent.
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | (42) ~ (all_79_30 = 0) | ~ (all_79_35 = 0) | ~
% 31.80/5.10 | | | | | | | | | | (all_79_36 = 0) | ~ (all_79_37 = 0) | ~ (all_79_38
% 31.80/5.10 | | | | | | | | | | = 0)
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | BETA: splitting (42) gives:
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | (43) ~ (all_79_30 = 0)
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | REDUCE: (1), (43) imply:
% 31.80/5.10 | | | | | | | | | | | (44) $false
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | CLOSE: (44) is inconsistent.
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | (45) ~ (all_79_35 = 0) | ~ (all_79_36 = 0) | ~
% 31.80/5.10 | | | | | | | | | | | (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | BETA: splitting (45) gives:
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | (46) ~ (all_79_35 = 0)
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | REDUCE: (10), (46) imply:
% 31.80/5.10 | | | | | | | | | | | | (47) $false
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | CLOSE: (47) is inconsistent.
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | (48) ~ (all_79_36 = 0) | ~ (all_79_37 = 0) | ~
% 31.80/5.10 | | | | | | | | | | | | (all_79_38 = 0)
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | BETA: splitting (48) gives:
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | (49) ~ (all_79_36 = 0)
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | REDUCE: (5), (49) imply:
% 31.80/5.10 | | | | | | | | | | | | | (50) $false
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | CLOSE: (50) is inconsistent.
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | (51) ~ (all_79_37 = 0) | ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | BETA: splitting (51) gives:
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | Case 1:
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | (52) ~ (all_79_37 = 0)
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | REDUCE: (6), (52) imply:
% 31.80/5.10 | | | | | | | | | | | | | | (53) $false
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | CLOSE: (53) is inconsistent.
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | Case 2:
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | (54) ~ (all_79_38 = 0)
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | REDUCE: (3), (54) imply:
% 31.80/5.10 | | | | | | | | | | | | | | (55) $false
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | | CLOSE: (55) is inconsistent.
% 31.80/5.10 | | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | | End of split
% 31.80/5.10 | | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | | End of split
% 31.80/5.10 | | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | | End of split
% 31.80/5.10 | | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | | End of split
% 31.80/5.10 | | | | | | | | | |
% 31.80/5.10 | | | | | | | | | End of split
% 31.80/5.10 | | | | | | | | |
% 31.80/5.10 | | | | | | | | End of split
% 31.80/5.10 | | | | | | | |
% 31.80/5.10 | | | | | | | End of split
% 31.80/5.10 | | | | | | |
% 31.80/5.10 | | | | | | End of split
% 31.80/5.10 | | | | | |
% 31.80/5.10 | | | | | End of split
% 31.80/5.10 | | | | |
% 31.80/5.10 | | | | End of split
% 31.80/5.10 | | | |
% 31.80/5.10 | | | End of split
% 31.80/5.10 | | |
% 31.80/5.10 | | End of split
% 31.80/5.10 | |
% 31.80/5.10 | End of split
% 31.80/5.10 |
% 31.80/5.10 End of proof
% 31.80/5.10
% 31.80/5.10 Sub-proof #2 shows that the following formulas are inconsistent:
% 31.80/5.10 ----------------------------------------------------------------
% 31.80/5.10 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 31.80/5.10 ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 31.80/5.10 (2) leq(n0, n1) = all_79_41
% 31.80/5.10 (3) leq(n0, n1) = 0
% 31.80/5.10 (4) ~ (all_79_41 = 0)
% 31.80/5.10
% 31.80/5.10 Begin of proof
% 31.80/5.10 |
% 31.80/5.10 | GROUND_INST: instantiating (1) with all_79_41, 0, n1, n0, simplifying with
% 31.80/5.10 | (2), (3) gives:
% 31.80/5.10 | (5) all_79_41 = 0
% 31.80/5.10 |
% 31.80/5.10 | REDUCE: (4), (5) imply:
% 31.80/5.10 | (6) $false
% 31.80/5.10 |
% 31.80/5.10 | CLOSE: (6) is inconsistent.
% 31.80/5.10 |
% 31.80/5.10 End of proof
% 31.80/5.10
% 31.80/5.10 Sub-proof #3 shows that the following formulas are inconsistent:
% 31.80/5.10 ----------------------------------------------------------------
% 31.80/5.11 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 31.80/5.11 ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 31.80/5.11 (2) leq(n0, n2) = all_79_40
% 31.80/5.11 (3) leq(n0, n2) = 0
% 31.80/5.11 (4) ~ (all_79_40 = 0)
% 31.80/5.11
% 31.80/5.11 Begin of proof
% 31.80/5.11 |
% 31.80/5.11 | GROUND_INST: instantiating (1) with all_79_40, 0, n2, n0, simplifying with
% 31.80/5.11 | (2), (3) gives:
% 31.80/5.11 | (5) all_79_40 = 0
% 31.80/5.11 |
% 31.80/5.11 | REDUCE: (4), (5) imply:
% 31.80/5.11 | (6) $false
% 31.80/5.11 |
% 31.80/5.11 | CLOSE: (6) is inconsistent.
% 31.80/5.11 |
% 31.80/5.11 End of proof
% 31.80/5.11
% 31.80/5.11 Sub-proof #4 shows that the following formulas are inconsistent:
% 31.80/5.11 ----------------------------------------------------------------
% 31.80/5.11 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 31.80/5.11 ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 31.80/5.11 (2) leq(n0, n3) = all_79_39
% 31.80/5.11 (3) leq(n0, n3) = 0
% 31.80/5.11 (4) ~ (all_79_39 = 0)
% 31.80/5.11
% 31.80/5.11 Begin of proof
% 31.80/5.11 |
% 31.80/5.11 | GROUND_INST: instantiating (1) with all_79_39, 0, n3, n0, simplifying with
% 31.80/5.11 | (2), (3) gives:
% 31.80/5.11 | (5) all_79_39 = 0
% 31.80/5.11 |
% 31.80/5.11 | REDUCE: (4), (5) imply:
% 31.80/5.11 | (6) $false
% 31.80/5.11 |
% 31.80/5.11 | CLOSE: (6) is inconsistent.
% 31.80/5.11 |
% 31.80/5.11 End of proof
% 31.80/5.11 % SZS output end Proof for theBenchmark
% 31.80/5.11
% 31.80/5.11 4507ms
%------------------------------------------------------------------------------