TSTP Solution File: ALG116+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:26 EDT 2023
% Result : Theorem 17.94s 3.12s
% Output : Proof 51.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.17/0.34 % Computer : n014.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 03:29:46 EDT 2023
% 0.17/0.35 % 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 ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.88/1.48 Prover 1: Preprocessing ...
% 4.88/1.48 Prover 4: Preprocessing ...
% 4.88/1.51 Prover 6: Preprocessing ...
% 4.88/1.51 Prover 2: Preprocessing ...
% 4.88/1.51 Prover 5: Preprocessing ...
% 4.88/1.51 Prover 0: Preprocessing ...
% 4.88/1.51 Prover 3: Preprocessing ...
% 10.79/2.16 Prover 4: Constructing countermodel ...
% 10.79/2.16 Prover 1: Constructing countermodel ...
% 10.79/2.18 Prover 2: Constructing countermodel ...
% 10.79/2.25 Prover 3: Constructing countermodel ...
% 10.79/2.28 Prover 6: Constructing countermodel ...
% 11.35/2.30 Prover 0: Constructing countermodel ...
% 15.37/2.84 Prover 5: Constructing countermodel ...
% 17.94/3.12 Prover 3: proved (2490ms)
% 17.94/3.12
% 17.94/3.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.94/3.12
% 17.94/3.12 Prover 2: stopped
% 17.94/3.13 Prover 5: stopped
% 17.94/3.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.94/3.13 Prover 0: stopped
% 17.94/3.14 Prover 6: stopped
% 17.94/3.14 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 17.94/3.14 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 17.94/3.14 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.23/3.16 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 20.22/3.50 Prover 7: Preprocessing ...
% 20.22/3.50 Prover 8: Preprocessing ...
% 20.22/3.55 Prover 10: Preprocessing ...
% 20.22/3.57 Prover 11: Preprocessing ...
% 21.23/3.59 Prover 13: Preprocessing ...
% 22.37/3.71 Prover 8: Constructing countermodel ...
% 23.69/3.90 Prover 7: Constructing countermodel ...
% 23.69/3.90 Prover 13: Constructing countermodel ...
% 23.69/3.92 Prover 10: Constructing countermodel ...
% 23.69/3.92 Prover 11: Constructing countermodel ...
% 46.21/6.86 Prover 13: Found proof (size 4201)
% 46.21/6.86 Prover 13: proved (3701ms)
% 46.21/6.86 Prover 11: stopped
% 46.21/6.86 Prover 7: stopped
% 46.21/6.86 Prover 8: stopped
% 46.21/6.86 Prover 4: stopped
% 46.21/6.86 Prover 10: stopped
% 46.21/6.86 Prover 1: stopped
% 46.21/6.86
% 46.21/6.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.21/6.86
% 49.77/7.81 % SZS output start Proof for theBenchmark
% 49.82/7.83 Assumptions after simplification:
% 49.82/7.83 ---------------------------------
% 49.82/7.83
% 49.82/7.83 (ax1)
% 49.93/7.88 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 49.93/7.88 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 49.93/7.88 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 49.93/7.88 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v0 & op1(e13, e12)
% 49.93/7.88 = v1 & op1(e13, e11) = v2 & op1(e13, e10) = v3 & op1(e12, e13) = v4 &
% 49.93/7.88 op1(e12, e12) = v5 & op1(e12, e11) = v6 & op1(e12, e10) = v7 & op1(e11, e13)
% 49.93/7.88 = v8 & op1(e11, e12) = v9 & op1(e11, e11) = v10 & op1(e11, e10) = v11 &
% 49.93/7.88 op1(e10, e13) = v12 & op1(e10, e12) = v13 & op1(e10, e11) = v14 & op1(e10,
% 49.93/7.88 e10) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 49.93/7.88 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 49.93/7.88 $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 =
% 49.93/7.88 e13 | v14 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 =
% 49.93/7.88 e11 | v13 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11
% 49.93/7.88 = e13 | v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10
% 49.93/7.88 = e11 | v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 =
% 49.93/7.88 e13 | v8 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 |
% 49.93/7.88 v7 = e10) & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 =
% 49.93/7.88 e12 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) &
% 49.93/7.88 (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 =
% 49.93/7.88 e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13
% 49.93/7.88 | v0 = e12 | v0 = e11 | v0 = e10))
% 49.93/7.88
% 49.93/7.88 (ax10)
% 49.93/7.90 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 49.93/7.90 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 49.93/7.90 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 49.93/7.90 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 49.93/7.90 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 49.93/7.90 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 49.93/7.90 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, v30) = v31
% 49.93/7.90 & op1(v28, v28) = v29 & op1(v26, v26) = v27 & op1(v24, v24) = v25 & op1(v22,
% 49.93/7.90 v22) = v23 & op1(v20, v20) = v21 & op1(v18, v18) = v19 & op1(v16, v16) =
% 49.93/7.90 v17 & op1(v14, v14) = v15 & op1(v12, v12) = v13 & op1(v10, v10) = v11 &
% 49.93/7.90 op1(v8, v8) = v9 & op1(v6, v6) = v7 & op1(v4, v4) = v5 & op1(v2, v2) = v3 &
% 49.93/7.90 op1(v0, v0) = v1 & op1(e13, e13) = v30 & op1(e13, e12) = v28 & op1(e13, e11)
% 49.93/7.90 = v26 & op1(e13, e10) = v24 & op1(e12, e13) = v22 & op1(e12, e12) = v20 &
% 49.93/7.90 op1(e12, e11) = v18 & op1(e12, e10) = v16 & op1(e11, e13) = v14 & op1(e11,
% 49.93/7.90 e12) = v12 & op1(e11, e11) = v10 & op1(e11, e10) = v8 & op1(e10, e13) = v6
% 49.93/7.90 & op1(e10, e12) = v4 & op1(e10, e11) = v2 & op1(e10, e10) = v0 & $i(v31) &
% 49.93/7.90 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 49.93/7.90 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 49.93/7.90 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 49.93/7.90 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 49.93/7.90 $i(v0) & ((v31 = e13 & v29 = e12 & v27 = e11 & v25 = e10) | (v23 = e13 & v21
% 49.93/7.90 = e12 & v19 = e11 & v17 = e10) | (v15 = e13 & v13 = e12 & v11 = e11 & v9
% 49.93/7.90 = e10) | (v7 = e13 & v5 = e12 & v3 = e11 & v1 = e10)))
% 49.93/7.90
% 49.93/7.90 (ax11)
% 49.93/7.91 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 49.93/7.91 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 49.93/7.91 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 49.93/7.91 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 49.93/7.91 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 49.93/7.91 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 49.93/7.91 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, v30) = v31
% 49.93/7.91 & op2(v28, v28) = v29 & op2(v26, v26) = v27 & op2(v24, v24) = v25 & op2(v22,
% 49.93/7.92 v22) = v23 & op2(v20, v20) = v21 & op2(v18, v18) = v19 & op2(v16, v16) =
% 49.93/7.92 v17 & op2(v14, v14) = v15 & op2(v12, v12) = v13 & op2(v10, v10) = v11 &
% 49.93/7.92 op2(v8, v8) = v9 & op2(v6, v6) = v7 & op2(v4, v4) = v5 & op2(v2, v2) = v3 &
% 49.93/7.92 op2(v0, v0) = v1 & op2(e23, e23) = v30 & op2(e23, e22) = v28 & op2(e23, e21)
% 49.93/7.92 = v26 & op2(e23, e20) = v24 & op2(e22, e23) = v22 & op2(e22, e22) = v20 &
% 49.93/7.92 op2(e22, e21) = v18 & op2(e22, e20) = v16 & op2(e21, e23) = v14 & op2(e21,
% 49.93/7.92 e22) = v12 & op2(e21, e21) = v10 & op2(e21, e20) = v8 & op2(e20, e23) = v6
% 49.93/7.92 & op2(e20, e22) = v4 & op2(e20, e21) = v2 & op2(e20, e20) = v0 & $i(v31) &
% 49.93/7.92 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 49.93/7.92 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 49.93/7.92 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 49.93/7.92 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 49.93/7.92 $i(v0) & ((v31 = e23 & v29 = e22 & v27 = e21 & v25 = e20) | (v23 = e23 & v21
% 49.93/7.92 = e22 & v19 = e21 & v17 = e20) | (v15 = e23 & v13 = e22 & v11 = e21 & v9
% 49.93/7.92 = e20) | (v7 = e23 & v5 = e22 & v3 = e21 & v1 = e20)))
% 49.93/7.92
% 49.93/7.92 (ax12)
% 49.93/7.92 op1(e13, e13) = e11 & op1(e13, e11) = e10 & op1(e10, e13) = e12 & $i(e13) &
% 49.93/7.92 $i(e12) & $i(e11) & $i(e10)
% 49.93/7.92
% 49.93/7.92 (ax13)
% 49.93/7.92 op2(e23, e23) = e21 & op2(e23, e21) = e20 & op2(e20, e23) = e22 & $i(e23) &
% 49.93/7.92 $i(e22) & $i(e21) & $i(e20)
% 49.93/7.92
% 49.93/7.92 (ax14)
% 49.93/7.92 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 49.93/7.92 ? [v2: $i] : (h1(e13) = e20 & h1(e12) = v0 & h1(e11) = v1 & h1(e10) = v2 &
% 49.93/7.92 op2(v2, e20) = v0 & op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 49.93/7.92 & $i(v0))
% 49.93/7.92
% 49.93/7.92 (ax15)
% 49.93/7.93 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 49.93/7.93 ? [v2: $i] : (h2(e13) = e21 & h2(e12) = v0 & h2(e11) = v1 & h2(e10) = v2 &
% 49.93/7.93 op2(v2, e21) = v0 & op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 49.93/7.93 & $i(v0))
% 49.93/7.93
% 49.93/7.93 (ax16)
% 49.93/7.93 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 49.93/7.93 ? [v2: $i] : (h3(e13) = e22 & h3(e12) = v0 & h3(e11) = v1 & h3(e10) = v2 &
% 49.93/7.93 op2(v2, e22) = v0 & op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 49.93/7.93 & $i(v0))
% 49.93/7.93
% 49.93/7.93 (ax17)
% 49.93/7.93 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 49.93/7.93 ? [v2: $i] : (h4(e13) = e23 & h4(e12) = v0 & h4(e11) = v1 & h4(e10) = v2 &
% 49.93/7.93 op2(v2, e23) = v0 & op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 49.93/7.93 & $i(v0))
% 49.93/7.93
% 49.93/7.93 (ax2)
% 50.29/7.95 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 50.29/7.95 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 50.29/7.95 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 50.29/7.95 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v3 & op1(e13, e12)
% 50.29/7.95 = v6 & op1(e13, e11) = v5 & op1(e13, e10) = v4 & op1(e12, e13) = v2 &
% 50.29/7.95 op1(e12, e12) = v9 & op1(e12, e11) = v11 & op1(e12, e10) = v10 & op1(e11,
% 50.29/7.95 e13) = v1 & op1(e11, e12) = v8 & op1(e11, e11) = v13 & op1(e11, e10) = v14
% 50.29/7.95 & op1(e10, e13) = v0 & op1(e10, e12) = v7 & op1(e10, e11) = v12 & op1(e10,
% 50.29/7.95 e10) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 50.29/7.95 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 50.29/7.95 $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v10 = e13 | v4 = e13) & (v15 =
% 50.29/7.95 e13 | v12 = e13 | v7 = e13 | v0 = e13) & (v15 = e12 | v14 = e12 | v10 =
% 50.29/7.95 e12 | v4 = e12) & (v15 = e12 | v12 = e12 | v7 = e12 | v0 = e12) & (v15 =
% 50.29/7.95 e11 | v14 = e11 | v10 = e11 | v4 = e11) & (v15 = e11 | v12 = e11 | v7 =
% 50.29/7.95 e11 | v0 = e11) & (v15 = e10 | v14 = e10 | v10 = e10 | v4 = e10) & (v15 =
% 50.29/7.95 e10 | v12 = e10 | v7 = e10 | v0 = e10) & (v14 = e13 | v13 = e13 | v8 = e13
% 50.29/7.95 | v1 = e13) & (v14 = e12 | v13 = e12 | v8 = e12 | v1 = e12) & (v14 = e11 |
% 50.29/7.95 v13 = e11 | v8 = e11 | v1 = e11) & (v14 = e10 | v13 = e10 | v8 = e10 | v1
% 50.29/7.95 = e10) & (v13 = e13 | v12 = e13 | v11 = e13 | v5 = e13) & (v13 = e12 | v12
% 50.29/7.95 = e12 | v11 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v11 = e11 | v5 =
% 50.29/7.95 e11) & (v13 = e10 | v12 = e10 | v11 = e10 | v5 = e10) & (v11 = e13 | v10 =
% 50.29/7.95 e13 | v9 = e13 | v2 = e13) & (v11 = e12 | v10 = e12 | v9 = e12 | v2 = e12)
% 50.29/7.95 & (v11 = e11 | v10 = e11 | v9 = e11 | v2 = e11) & (v11 = e10 | v10 = e10 |
% 50.29/7.95 v9 = e10 | v2 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v6 = e13) & (v9 =
% 50.29/7.95 e12 | v8 = e12 | v7 = e12 | v6 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 |
% 50.29/7.95 v6 = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v6 = e10) & (v6 = e13 | v5 =
% 50.29/7.95 e13 | v4 = e13 | v3 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v3 = e12) &
% 50.29/7.95 (v6 = e11 | v5 = e11 | v4 = e11 | v3 = e11) & (v6 = e10 | v5 = e10 | v4 =
% 50.29/7.95 e10 | v3 = e10) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12
% 50.29/7.95 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 =
% 50.29/7.95 e11) & (v3 = e10 | v2 = e10 | v1 = e10 | v0 = e10))
% 50.29/7.95
% 50.29/7.95 (ax3)
% 50.29/7.96 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 50.29/7.96 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 50.29/7.96 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 50.29/7.96 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v0 & op2(e23, e22)
% 50.29/7.96 = v1 & op2(e23, e21) = v2 & op2(e23, e20) = v3 & op2(e22, e23) = v4 &
% 50.29/7.96 op2(e22, e22) = v5 & op2(e22, e21) = v6 & op2(e22, e20) = v7 & op2(e21, e23)
% 50.29/7.96 = v8 & op2(e21, e22) = v9 & op2(e21, e21) = v10 & op2(e21, e20) = v11 &
% 50.29/7.96 op2(e20, e23) = v12 & op2(e20, e22) = v13 & op2(e20, e21) = v14 & op2(e20,
% 50.29/7.96 e20) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 50.29/7.96 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 50.29/7.96 $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 =
% 50.29/7.96 e23 | v14 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 =
% 50.29/7.96 e21 | v13 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11
% 50.29/7.96 = e23 | v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10
% 50.29/7.96 = e21 | v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 =
% 50.29/7.96 e23 | v8 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 |
% 50.29/7.96 v7 = e20) & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 =
% 50.29/7.96 e22 | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) &
% 50.29/7.96 (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 =
% 50.29/7.96 e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23
% 50.29/7.96 | v0 = e22 | v0 = e21 | v0 = e20))
% 50.29/7.96
% 50.29/7.96 (ax4)
% 50.29/7.97 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 50.29/7.97 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 50.29/7.97 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 50.29/7.97 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v3 & op2(e23, e22)
% 50.29/7.97 = v6 & op2(e23, e21) = v5 & op2(e23, e20) = v4 & op2(e22, e23) = v2 &
% 50.29/7.97 op2(e22, e22) = v9 & op2(e22, e21) = v11 & op2(e22, e20) = v10 & op2(e21,
% 50.29/7.97 e23) = v1 & op2(e21, e22) = v8 & op2(e21, e21) = v13 & op2(e21, e20) = v14
% 50.29/7.97 & op2(e20, e23) = v0 & op2(e20, e22) = v7 & op2(e20, e21) = v12 & op2(e20,
% 50.29/7.97 e20) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 50.29/7.97 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 50.29/7.97 $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v10 = e23 | v4 = e23) & (v15 =
% 50.29/7.97 e23 | v12 = e23 | v7 = e23 | v0 = e23) & (v15 = e22 | v14 = e22 | v10 =
% 50.29/7.97 e22 | v4 = e22) & (v15 = e22 | v12 = e22 | v7 = e22 | v0 = e22) & (v15 =
% 50.29/7.97 e21 | v14 = e21 | v10 = e21 | v4 = e21) & (v15 = e21 | v12 = e21 | v7 =
% 50.29/7.97 e21 | v0 = e21) & (v15 = e20 | v14 = e20 | v10 = e20 | v4 = e20) & (v15 =
% 50.29/7.97 e20 | v12 = e20 | v7 = e20 | v0 = e20) & (v14 = e23 | v13 = e23 | v8 = e23
% 50.29/7.97 | v1 = e23) & (v14 = e22 | v13 = e22 | v8 = e22 | v1 = e22) & (v14 = e21 |
% 50.29/7.97 v13 = e21 | v8 = e21 | v1 = e21) & (v14 = e20 | v13 = e20 | v8 = e20 | v1
% 50.29/7.97 = e20) & (v13 = e23 | v12 = e23 | v11 = e23 | v5 = e23) & (v13 = e22 | v12
% 50.29/7.97 = e22 | v11 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v11 = e21 | v5 =
% 50.29/7.97 e21) & (v13 = e20 | v12 = e20 | v11 = e20 | v5 = e20) & (v11 = e23 | v10 =
% 50.29/7.97 e23 | v9 = e23 | v2 = e23) & (v11 = e22 | v10 = e22 | v9 = e22 | v2 = e22)
% 50.29/7.97 & (v11 = e21 | v10 = e21 | v9 = e21 | v2 = e21) & (v11 = e20 | v10 = e20 |
% 50.29/7.97 v9 = e20 | v2 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v6 = e23) & (v9 =
% 50.29/7.97 e22 | v8 = e22 | v7 = e22 | v6 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 |
% 50.29/7.97 v6 = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v6 = e20) & (v6 = e23 | v5 =
% 50.29/7.97 e23 | v4 = e23 | v3 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v3 = e22) &
% 50.29/7.97 (v6 = e21 | v5 = e21 | v4 = e21 | v3 = e21) & (v6 = e20 | v5 = e20 | v4 =
% 50.29/7.97 e20 | v3 = e20) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22
% 50.29/7.97 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 =
% 50.29/7.97 e21) & (v3 = e20 | v2 = e20 | v1 = e20 | v0 = e20))
% 50.29/7.97
% 50.29/7.97 (ax5)
% 50.29/7.97 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 50.29/7.97 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 50.29/7.97 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 50.29/7.97 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 50.29/7.97 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 50.29/7.97 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 50.29/7.97 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 50.29/7.97 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 50.29/7.97 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 50.29/7.97 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 50.29/7.97 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 50.29/7.97 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 50.29/7.97 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 50.29/7.97 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v1 & op1(e13, e12)
% 50.29/7.97 = v0 & op1(e13, e11) = v2 & op1(e13, e10) = v3 & op1(e12, e13) = v5 &
% 50.29/7.97 op1(e12, e12) = v4 & op1(e12, e11) = v6 & op1(e12, e10) = v7 & op1(e11, e13)
% 50.29/7.97 = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v10 & op1(e11, e10) = v11 &
% 50.29/7.97 op1(e10, e13) = v13 & op1(e10, e12) = v12 & op1(e10, e11) = v14 & op1(e10,
% 50.29/7.97 e10) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 50.29/7.97 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 50.29/7.97 $i(v1) & $i(v0))
% 50.29/7.97
% 50.29/7.98 (ax6)
% 50.51/7.98 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 50.51/7.98 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 50.51/7.98 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 50.51/7.98 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 50.51/7.98 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 50.51/7.98 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 50.51/7.98 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 50.51/7.98 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 50.51/7.98 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 50.51/7.98 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 50.51/7.98 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 50.51/7.98 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 50.51/7.98 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 50.51/7.98 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v1 & op2(e23, e22)
% 50.51/7.98 = v0 & op2(e23, e21) = v2 & op2(e23, e20) = v3 & op2(e22, e23) = v5 &
% 50.51/7.98 op2(e22, e22) = v4 & op2(e22, e21) = v6 & op2(e22, e20) = v7 & op2(e21, e23)
% 50.51/7.98 = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v10 & op2(e21, e20) = v11 &
% 50.51/7.98 op2(e20, e23) = v13 & op2(e20, e22) = v12 & op2(e20, e21) = v14 & op2(e20,
% 50.51/7.98 e20) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 50.51/7.98 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 50.51/7.98 $i(v1) & $i(v0))
% 50.51/7.98
% 50.51/7.98 (ax8)
% 50.51/7.98 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 50.51/7.98 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 50.51/7.98
% 50.51/7.98 (co1)
% 50.51/8.00 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 50.51/8.00 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 50.51/8.00 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 50.51/8.00 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 50.51/8.00 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 50.51/8.00 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 50.51/8.00 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 50.51/8.00 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 50.51/8.00 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 50.51/8.00 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 50.51/8.00 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 50.51/8.00 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 50.51/8.00 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 50.51/8.00 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 50.51/8.00 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 50.51/8.00 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 50.51/8.00 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 50.51/8.00 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 50.51/8.00 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 50.51/8.00 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 50.51/8.00 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 50.51/8.00 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 50.51/8.00 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 50.51/8.00 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 50.51/8.00 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 50.51/8.00 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 50.51/8.00 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 50.51/8.00 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 50.51/8.00 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 50.51/8.00 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 50.51/8.00 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 50.51/8.00 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 50.51/8.00 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 50.51/8.00 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v50 & h4(v46) = v47 & h4(v43) = v44
% 50.51/8.00 & h4(v40) = v41 & h4(v37) = v38 & h4(v34) = v35 & h4(v31) = v32 & h4(v28) =
% 50.51/8.00 v29 & h4(v25) = v26 & h4(v22) = v23 & h4(v19) = v20 & h4(v16) = v17 &
% 50.51/8.00 h4(v12) = v13 & h4(v8) = v9 & h4(v4) = v5 & h4(v0) = v1 & h4(e13) = v14 &
% 50.51/8.00 h4(e12) = v10 & h4(e11) = v6 & h4(e10) = v2 & h3(v49) = v86 & h3(v46) = v84
% 50.51/8.00 & h3(v43) = v82 & h3(v40) = v80 & h3(v37) = v78 & h3(v34) = v76 & h3(v31) =
% 50.51/8.00 v74 & h3(v28) = v72 & h3(v25) = v70 & h3(v22) = v68 & h3(v19) = v66 &
% 50.51/8.00 h3(v16) = v64 & h3(v12) = v61 & h3(v8) = v58 & h3(v4) = v55 & h3(v0) = v52 &
% 50.51/8.00 h3(e13) = v62 & h3(e12) = v59 & h3(e11) = v56 & h3(e10) = v53 & h2(v49) =
% 50.51/8.00 v122 & h2(v46) = v120 & h2(v43) = v118 & h2(v40) = v116 & h2(v37) = v114 &
% 50.51/8.00 h2(v34) = v112 & h2(v31) = v110 & h2(v28) = v108 & h2(v25) = v106 & h2(v22)
% 50.51/8.00 = v104 & h2(v19) = v102 & h2(v16) = v100 & h2(v12) = v97 & h2(v8) = v94 &
% 50.51/8.00 h2(v4) = v91 & h2(v0) = v88 & h2(e13) = v98 & h2(e12) = v95 & h2(e11) = v92
% 50.51/8.00 & h2(e10) = v89 & h1(v49) = v158 & h1(v46) = v156 & h1(v43) = v154 & h1(v40)
% 50.51/8.00 = v152 & h1(v37) = v150 & h1(v34) = v148 & h1(v31) = v146 & h1(v28) = v144 &
% 50.51/8.00 h1(v25) = v142 & h1(v22) = v140 & h1(v19) = v138 & h1(v16) = v136 & h1(v12)
% 50.51/8.00 = v133 & h1(v8) = v130 & h1(v4) = v127 & h1(v0) = v124 & h1(e13) = v134 &
% 50.51/8.00 h1(e12) = v131 & h1(e11) = v128 & h1(e10) = v125 & op2(v134, v134) = v159 &
% 50.51/8.00 op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, v125) = v153 &
% 50.51/8.00 op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, v128) = v147 &
% 50.51/8.00 op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128, v131) = v141 &
% 50.51/8.00 op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125, v134) = v135 &
% 50.51/8.00 op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125, v125) = v126 &
% 50.51/8.00 op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 &
% 50.51/8.00 op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 &
% 50.51/8.00 op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 50.51/8.00 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 50.51/8.00 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 50.51/8.00 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 50.51/8.00 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 50.51/8.00 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 50.51/8.00 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 50.51/8.00 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 50.51/8.00 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 50.51/8.01 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 50.51/8.01 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 50.51/8.01 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 50.51/8.01 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 50.51/8.01 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 50.51/8.01 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 50.51/8.01 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 50.51/8.01 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 50.51/8.01 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 50.51/8.01 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 50.51/8.01 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 50.51/8.01 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 50.51/8.01 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 50.51/8.01 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 50.51/8.01 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 50.51/8.01 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 50.51/8.01 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 50.51/8.01 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 50.51/8.01 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 50.51/8.01 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 50.51/8.01 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 50.51/8.01 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 50.51/8.01 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 50.51/8.01 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 50.51/8.01 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 50.51/8.01 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 50.51/8.01 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 50.51/8.01 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 50.51/8.01 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 50.51/8.01 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 50.51/8.01 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 50.51/8.01 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 50.51/8.01 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 50.51/8.01 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 50.51/8.01 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 50.51/8.01 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 50.51/8.01 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 50.51/8.01 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 50.51/8.01 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 50.51/8.01 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 50.51/8.01 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 50.51/8.01 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 50.51/8.01 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 50.51/8.01 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 50.51/8.01 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 50.51/8.01 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 50.51/8.01 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 50.51/8.01 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 50.51/8.01 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 50.51/8.01 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 50.51/8.01 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 50.51/8.01 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 50.51/8.01 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 50.51/8.01 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 50.51/8.01 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 50.51/8.01 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 50.51/8.01 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 50.51/8.01 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 50.51/8.01 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 50.51/8.01 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 50.51/8.01 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 50.51/8.01 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 50.51/8.01 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 50.51/8.01
% 50.51/8.01 (function-axioms)
% 50.51/8.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 50.51/8.01 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 50.51/8.01 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 50.51/8.01 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 50.51/8.01 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 50.51/8.01 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 50.51/8.01 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 50.51/8.01 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 50.51/8.01
% 50.51/8.01 Further assumptions not needed in the proof:
% 50.51/8.01 --------------------------------------------
% 50.51/8.01 ax7, ax9
% 50.51/8.01
% 50.51/8.01 Those formulas are unsatisfiable:
% 50.51/8.01 ---------------------------------
% 50.51/8.01
% 50.51/8.01 Begin of proof
% 50.51/8.01 |
% 50.51/8.02 | ALPHA: (ax1) implies:
% 50.51/8.02 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.51/8.02 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.51/8.02 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.51/8.02 | ? [v15: $i] : (op1(e13, e13) = v0 & op1(e13, e12) = v1 & op1(e13, e11)
% 50.51/8.02 | = v2 & op1(e13, e10) = v3 & op1(e12, e13) = v4 & op1(e12, e12) = v5 &
% 50.51/8.02 | op1(e12, e11) = v6 & op1(e12, e10) = v7 & op1(e11, e13) = v8 &
% 50.51/8.02 | op1(e11, e12) = v9 & op1(e11, e11) = v10 & op1(e11, e10) = v11 &
% 50.51/8.02 | op1(e10, e13) = v12 & op1(e10, e12) = v13 & op1(e10, e11) = v14 &
% 50.51/8.02 | op1(e10, e10) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 50.51/8.02 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 50.51/8.02 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 50.51/8.02 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 50.51/8.02 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 50.51/8.02 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 50.51/8.02 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 50.51/8.02 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 50.51/8.02 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 50.51/8.02 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 50.51/8.02 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 50.51/8.02 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 50.51/8.02 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 50.51/8.02 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 50.51/8.02 |
% 50.51/8.02 | ALPHA: (ax2) implies:
% 50.51/8.03 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.51/8.03 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.51/8.03 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.51/8.03 | ? [v15: $i] : (op1(e13, e13) = v3 & op1(e13, e12) = v6 & op1(e13, e11)
% 50.51/8.03 | = v5 & op1(e13, e10) = v4 & op1(e12, e13) = v2 & op1(e12, e12) = v9 &
% 50.51/8.03 | op1(e12, e11) = v11 & op1(e12, e10) = v10 & op1(e11, e13) = v1 &
% 50.51/8.03 | op1(e11, e12) = v8 & op1(e11, e11) = v13 & op1(e11, e10) = v14 &
% 50.51/8.03 | op1(e10, e13) = v0 & op1(e10, e12) = v7 & op1(e10, e11) = v12 &
% 50.51/8.03 | op1(e10, e10) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 50.51/8.03 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 50.51/8.03 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v10 =
% 50.51/8.03 | e13 | v4 = e13) & (v15 = e13 | v12 = e13 | v7 = e13 | v0 = e13) &
% 50.51/8.03 | (v15 = e12 | v14 = e12 | v10 = e12 | v4 = e12) & (v15 = e12 | v12 =
% 50.51/8.03 | e12 | v7 = e12 | v0 = e12) & (v15 = e11 | v14 = e11 | v10 = e11 |
% 50.51/8.03 | v4 = e11) & (v15 = e11 | v12 = e11 | v7 = e11 | v0 = e11) & (v15 =
% 50.51/8.03 | e10 | v14 = e10 | v10 = e10 | v4 = e10) & (v15 = e10 | v12 = e10 |
% 50.51/8.03 | v7 = e10 | v0 = e10) & (v14 = e13 | v13 = e13 | v8 = e13 | v1 =
% 50.51/8.03 | e13) & (v14 = e12 | v13 = e12 | v8 = e12 | v1 = e12) & (v14 = e11 |
% 50.51/8.03 | v13 = e11 | v8 = e11 | v1 = e11) & (v14 = e10 | v13 = e10 | v8 =
% 50.51/8.03 | e10 | v1 = e10) & (v13 = e13 | v12 = e13 | v11 = e13 | v5 = e13) &
% 50.51/8.03 | (v13 = e12 | v12 = e12 | v11 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 50.51/8.03 | e11 | v11 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v11 = e10 |
% 50.51/8.03 | v5 = e10) & (v11 = e13 | v10 = e13 | v9 = e13 | v2 = e13) & (v11 =
% 50.51/8.03 | e12 | v10 = e12 | v9 = e12 | v2 = e12) & (v11 = e11 | v10 = e11 |
% 50.51/8.03 | v9 = e11 | v2 = e11) & (v11 = e10 | v10 = e10 | v9 = e10 | v2 =
% 50.51/8.03 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v6 = e13) & (v9 = e12 | v8
% 50.51/8.03 | = e12 | v7 = e12 | v6 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v6
% 50.51/8.03 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v6 = e10) & (v6 = e13 |
% 50.51/8.03 | v5 = e13 | v4 = e13 | v3 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 50.51/8.03 | v3 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v3 = e11) & (v6 = e10
% 50.51/8.03 | | v5 = e10 | v4 = e10 | v3 = e10) & (v3 = e13 | v2 = e13 | v1 = e13
% 50.51/8.03 | | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 =
% 50.51/8.03 | e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v3 = e10 | v2 = e10 | v1 =
% 50.51/8.03 | e10 | v0 = e10))
% 50.51/8.03 |
% 50.51/8.03 | ALPHA: (ax3) implies:
% 50.51/8.03 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.51/8.03 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.51/8.03 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.51/8.03 | ? [v15: $i] : (op2(e23, e23) = v0 & op2(e23, e22) = v1 & op2(e23, e21)
% 50.51/8.03 | = v2 & op2(e23, e20) = v3 & op2(e22, e23) = v4 & op2(e22, e22) = v5 &
% 50.51/8.03 | op2(e22, e21) = v6 & op2(e22, e20) = v7 & op2(e21, e23) = v8 &
% 50.51/8.03 | op2(e21, e22) = v9 & op2(e21, e21) = v10 & op2(e21, e20) = v11 &
% 50.51/8.03 | op2(e20, e23) = v12 & op2(e20, e22) = v13 & op2(e20, e21) = v14 &
% 50.51/8.03 | op2(e20, e20) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 50.51/8.03 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 50.51/8.03 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 50.51/8.03 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 50.51/8.03 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 50.51/8.03 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 50.51/8.03 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 50.51/8.03 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 50.51/8.03 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 50.51/8.03 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 50.51/8.03 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 50.51/8.03 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 50.51/8.03 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 50.51/8.03 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 50.51/8.03 |
% 50.51/8.03 | ALPHA: (ax4) implies:
% 50.51/8.04 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.51/8.04 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.51/8.04 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.51/8.04 | ? [v15: $i] : (op2(e23, e23) = v3 & op2(e23, e22) = v6 & op2(e23, e21)
% 50.51/8.04 | = v5 & op2(e23, e20) = v4 & op2(e22, e23) = v2 & op2(e22, e22) = v9 &
% 50.51/8.04 | op2(e22, e21) = v11 & op2(e22, e20) = v10 & op2(e21, e23) = v1 &
% 50.51/8.04 | op2(e21, e22) = v8 & op2(e21, e21) = v13 & op2(e21, e20) = v14 &
% 50.51/8.04 | op2(e20, e23) = v0 & op2(e20, e22) = v7 & op2(e20, e21) = v12 &
% 50.51/8.04 | op2(e20, e20) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 50.51/8.04 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 50.51/8.04 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v10 =
% 50.51/8.04 | e23 | v4 = e23) & (v15 = e23 | v12 = e23 | v7 = e23 | v0 = e23) &
% 50.51/8.04 | (v15 = e22 | v14 = e22 | v10 = e22 | v4 = e22) & (v15 = e22 | v12 =
% 50.51/8.04 | e22 | v7 = e22 | v0 = e22) & (v15 = e21 | v14 = e21 | v10 = e21 |
% 50.51/8.04 | v4 = e21) & (v15 = e21 | v12 = e21 | v7 = e21 | v0 = e21) & (v15 =
% 50.51/8.04 | e20 | v14 = e20 | v10 = e20 | v4 = e20) & (v15 = e20 | v12 = e20 |
% 50.51/8.04 | v7 = e20 | v0 = e20) & (v14 = e23 | v13 = e23 | v8 = e23 | v1 =
% 50.51/8.04 | e23) & (v14 = e22 | v13 = e22 | v8 = e22 | v1 = e22) & (v14 = e21 |
% 50.51/8.04 | v13 = e21 | v8 = e21 | v1 = e21) & (v14 = e20 | v13 = e20 | v8 =
% 50.51/8.04 | e20 | v1 = e20) & (v13 = e23 | v12 = e23 | v11 = e23 | v5 = e23) &
% 50.80/8.04 | (v13 = e22 | v12 = e22 | v11 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 50.80/8.04 | e21 | v11 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v11 = e20 |
% 50.80/8.04 | v5 = e20) & (v11 = e23 | v10 = e23 | v9 = e23 | v2 = e23) & (v11 =
% 50.80/8.04 | e22 | v10 = e22 | v9 = e22 | v2 = e22) & (v11 = e21 | v10 = e21 |
% 50.80/8.04 | v9 = e21 | v2 = e21) & (v11 = e20 | v10 = e20 | v9 = e20 | v2 =
% 50.80/8.04 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v6 = e23) & (v9 = e22 | v8
% 50.80/8.04 | = e22 | v7 = e22 | v6 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v6
% 50.80/8.04 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v6 = e20) & (v6 = e23 |
% 50.80/8.04 | v5 = e23 | v4 = e23 | v3 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 50.80/8.04 | v3 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v3 = e21) & (v6 = e20
% 50.80/8.04 | | v5 = e20 | v4 = e20 | v3 = e20) & (v3 = e23 | v2 = e23 | v1 = e23
% 50.80/8.04 | | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 =
% 50.80/8.04 | e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v3 = e20 | v2 = e20 | v1 =
% 50.80/8.04 | e20 | v0 = e20))
% 50.80/8.04 |
% 50.80/8.04 | ALPHA: (ax5) implies:
% 50.80/8.04 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.80/8.04 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.80/8.04 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.80/8.04 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 50.80/8.04 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 50.80/8.04 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 50.80/8.04 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 50.80/8.04 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 50.80/8.04 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 50.80/8.04 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 50.80/8.05 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 50.80/8.05 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 50.80/8.05 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 50.80/8.05 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 50.80/8.05 | v0) & ~ (v1 = v0) & op1(e13, e13) = v1 & op1(e13, e12) = v0 &
% 50.80/8.05 | op1(e13, e11) = v2 & op1(e13, e10) = v3 & op1(e12, e13) = v5 &
% 50.80/8.05 | op1(e12, e12) = v4 & op1(e12, e11) = v6 & op1(e12, e10) = v7 &
% 50.80/8.05 | op1(e11, e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v10 &
% 50.80/8.05 | op1(e11, e10) = v11 & op1(e10, e13) = v13 & op1(e10, e12) = v12 &
% 50.80/8.05 | op1(e10, e11) = v14 & op1(e10, e10) = v15 & $i(v15) & $i(v14) &
% 50.80/8.05 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 50.80/8.05 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 50.80/8.05 |
% 50.80/8.05 | ALPHA: (ax6) implies:
% 50.80/8.05 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.80/8.05 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 50.80/8.05 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 50.80/8.05 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 50.80/8.05 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 50.80/8.05 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 50.80/8.05 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 50.80/8.05 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 50.80/8.05 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 50.80/8.05 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 50.80/8.05 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 50.80/8.05 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 50.80/8.05 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 50.80/8.05 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 50.80/8.05 | v0) & ~ (v1 = v0) & op2(e23, e23) = v1 & op2(e23, e22) = v0 &
% 50.80/8.05 | op2(e23, e21) = v2 & op2(e23, e20) = v3 & op2(e22, e23) = v5 &
% 50.80/8.05 | op2(e22, e22) = v4 & op2(e22, e21) = v6 & op2(e22, e20) = v7 &
% 50.80/8.05 | op2(e21, e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v10 &
% 50.80/8.05 | op2(e21, e20) = v11 & op2(e20, e23) = v13 & op2(e20, e22) = v12 &
% 50.80/8.05 | op2(e20, e21) = v14 & op2(e20, e20) = v15 & $i(v15) & $i(v14) &
% 50.80/8.05 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 50.80/8.05 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 50.80/8.05 |
% 50.80/8.05 | ALPHA: (ax8) implies:
% 50.80/8.05 | (7) ~ (e22 = e20)
% 50.80/8.05 | (8) ~ (e23 = e20)
% 50.80/8.05 | (9) ~ (e23 = e21)
% 50.80/8.05 | (10) ~ (e23 = e22)
% 50.80/8.05 |
% 50.80/8.05 | ALPHA: (ax10) implies:
% 50.80/8.05 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.80/8.05 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 50.80/8.05 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 50.80/8.05 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 50.80/8.05 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 50.80/8.05 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 50.80/8.05 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, v30) =
% 50.80/8.05 | v31 & op1(v28, v28) = v29 & op1(v26, v26) = v27 & op1(v24, v24) =
% 50.80/8.05 | v25 & op1(v22, v22) = v23 & op1(v20, v20) = v21 & op1(v18, v18) =
% 50.80/8.05 | v19 & op1(v16, v16) = v17 & op1(v14, v14) = v15 & op1(v12, v12) =
% 50.80/8.05 | v13 & op1(v10, v10) = v11 & op1(v8, v8) = v9 & op1(v6, v6) = v7 &
% 50.80/8.05 | op1(v4, v4) = v5 & op1(v2, v2) = v3 & op1(v0, v0) = v1 & op1(e13,
% 50.80/8.05 | e13) = v30 & op1(e13, e12) = v28 & op1(e13, e11) = v26 & op1(e13,
% 50.80/8.05 | e10) = v24 & op1(e12, e13) = v22 & op1(e12, e12) = v20 & op1(e12,
% 50.80/8.05 | e11) = v18 & op1(e12, e10) = v16 & op1(e11, e13) = v14 & op1(e11,
% 50.80/8.05 | e12) = v12 & op1(e11, e11) = v10 & op1(e11, e10) = v8 & op1(e10,
% 50.80/8.05 | e13) = v6 & op1(e10, e12) = v4 & op1(e10, e11) = v2 & op1(e10,
% 50.80/8.05 | e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 50.80/8.05 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 50.80/8.05 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 50.80/8.05 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 50.80/8.05 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 50.80/8.06 | = e13 & v29 = e12 & v27 = e11 & v25 = e10) | (v23 = e13 & v21 =
% 50.80/8.06 | e12 & v19 = e11 & v17 = e10) | (v15 = e13 & v13 = e12 & v11 =
% 50.80/8.06 | e11 & v9 = e10) | (v7 = e13 & v5 = e12 & v3 = e11 & v1 = e10)))
% 50.80/8.06 |
% 50.80/8.06 | ALPHA: (ax11) implies:
% 50.87/8.06 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.87/8.06 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 50.87/8.06 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 50.87/8.06 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 50.87/8.06 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 50.87/8.06 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 50.87/8.06 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, v30) =
% 50.87/8.06 | v31 & op2(v28, v28) = v29 & op2(v26, v26) = v27 & op2(v24, v24) =
% 50.87/8.06 | v25 & op2(v22, v22) = v23 & op2(v20, v20) = v21 & op2(v18, v18) =
% 50.87/8.06 | v19 & op2(v16, v16) = v17 & op2(v14, v14) = v15 & op2(v12, v12) =
% 50.87/8.06 | v13 & op2(v10, v10) = v11 & op2(v8, v8) = v9 & op2(v6, v6) = v7 &
% 50.87/8.06 | op2(v4, v4) = v5 & op2(v2, v2) = v3 & op2(v0, v0) = v1 & op2(e23,
% 50.87/8.06 | e23) = v30 & op2(e23, e22) = v28 & op2(e23, e21) = v26 & op2(e23,
% 50.87/8.06 | e20) = v24 & op2(e22, e23) = v22 & op2(e22, e22) = v20 & op2(e22,
% 50.87/8.06 | e21) = v18 & op2(e22, e20) = v16 & op2(e21, e23) = v14 & op2(e21,
% 50.87/8.06 | e22) = v12 & op2(e21, e21) = v10 & op2(e21, e20) = v8 & op2(e20,
% 50.87/8.06 | e23) = v6 & op2(e20, e22) = v4 & op2(e20, e21) = v2 & op2(e20,
% 50.87/8.06 | e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 50.87/8.06 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 50.87/8.06 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 50.87/8.06 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 50.87/8.06 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 50.87/8.06 | = e23 & v29 = e22 & v27 = e21 & v25 = e20) | (v23 = e23 & v21 =
% 50.87/8.06 | e22 & v19 = e21 & v17 = e20) | (v15 = e23 & v13 = e22 & v11 =
% 50.87/8.06 | e21 & v9 = e20) | (v7 = e23 & v5 = e22 & v3 = e21 & v1 = e20)))
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax12) implies:
% 50.87/8.06 | (13) op1(e10, e13) = e12
% 50.87/8.06 | (14) op1(e13, e11) = e10
% 50.87/8.06 | (15) op1(e13, e13) = e11
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax13) implies:
% 50.87/8.06 | (16) op2(e20, e23) = e22
% 50.87/8.06 | (17) op2(e23, e21) = e20
% 50.87/8.06 | (18) op2(e23, e23) = e21
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax14) implies:
% 50.87/8.06 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = e20 & h1(e12) =
% 50.87/8.06 | v0 & h1(e11) = v1 & h1(e10) = v2 & op2(v2, e20) = v0 & op2(e20, v1)
% 50.87/8.06 | = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax15) implies:
% 50.87/8.06 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = e21 & h2(e12) =
% 50.87/8.06 | v0 & h2(e11) = v1 & h2(e10) = v2 & op2(v2, e21) = v0 & op2(e21, v1)
% 50.87/8.06 | = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax16) implies:
% 50.87/8.06 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = e22 & h3(e12) =
% 50.87/8.06 | v0 & h3(e11) = v1 & h3(e10) = v2 & op2(v2, e22) = v0 & op2(e22, v1)
% 50.87/8.06 | = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (ax17) implies:
% 50.87/8.06 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = e23 & h4(e12) =
% 50.87/8.06 | v0 & h4(e11) = v1 & h4(e10) = v2 & op2(v2, e23) = v0 & op2(e23, v1)
% 50.87/8.06 | = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 50.87/8.06 |
% 50.87/8.06 | ALPHA: (co1) implies:
% 50.87/8.08 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 50.87/8.08 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 50.87/8.08 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 50.87/8.08 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 50.87/8.08 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 50.87/8.08 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 50.87/8.08 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 50.87/8.08 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 50.87/8.08 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 50.87/8.08 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 50.87/8.08 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 50.87/8.08 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 50.87/8.08 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 50.87/8.08 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 50.87/8.08 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 50.87/8.08 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 50.87/8.08 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 50.87/8.08 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 50.87/8.08 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 50.87/8.08 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 50.87/8.08 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 50.87/8.08 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 50.87/8.08 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 50.87/8.08 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 50.87/8.08 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 50.87/8.08 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 50.87/8.08 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 50.87/8.08 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 50.87/8.08 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 50.87/8.08 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 50.87/8.08 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 50.87/8.08 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 50.87/8.08 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 50.87/8.08 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 50.87/8.08 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 50.87/8.08 | [v159: $i] : (h4(v49) = v50 & h4(v46) = v47 & h4(v43) = v44 & h4(v40)
% 50.87/8.08 | = v41 & h4(v37) = v38 & h4(v34) = v35 & h4(v31) = v32 & h4(v28) =
% 50.87/8.08 | v29 & h4(v25) = v26 & h4(v22) = v23 & h4(v19) = v20 & h4(v16) = v17
% 50.87/8.08 | & h4(v12) = v13 & h4(v8) = v9 & h4(v4) = v5 & h4(v0) = v1 & h4(e13)
% 50.87/8.08 | = v14 & h4(e12) = v10 & h4(e11) = v6 & h4(e10) = v2 & h3(v49) = v86
% 50.87/8.08 | & h3(v46) = v84 & h3(v43) = v82 & h3(v40) = v80 & h3(v37) = v78 &
% 50.87/8.08 | h3(v34) = v76 & h3(v31) = v74 & h3(v28) = v72 & h3(v25) = v70 &
% 50.87/8.08 | h3(v22) = v68 & h3(v19) = v66 & h3(v16) = v64 & h3(v12) = v61 &
% 50.87/8.08 | h3(v8) = v58 & h3(v4) = v55 & h3(v0) = v52 & h3(e13) = v62 & h3(e12)
% 50.87/8.08 | = v59 & h3(e11) = v56 & h3(e10) = v53 & h2(v49) = v122 & h2(v46) =
% 50.87/8.08 | v120 & h2(v43) = v118 & h2(v40) = v116 & h2(v37) = v114 & h2(v34) =
% 50.87/8.08 | v112 & h2(v31) = v110 & h2(v28) = v108 & h2(v25) = v106 & h2(v22) =
% 50.87/8.08 | v104 & h2(v19) = v102 & h2(v16) = v100 & h2(v12) = v97 & h2(v8) =
% 50.87/8.08 | v94 & h2(v4) = v91 & h2(v0) = v88 & h2(e13) = v98 & h2(e12) = v95 &
% 50.87/8.08 | h2(e11) = v92 & h2(e10) = v89 & h1(v49) = v158 & h1(v46) = v156 &
% 50.87/8.08 | h1(v43) = v154 & h1(v40) = v152 & h1(v37) = v150 & h1(v34) = v148 &
% 50.87/8.08 | h1(v31) = v146 & h1(v28) = v144 & h1(v25) = v142 & h1(v22) = v140 &
% 50.87/8.08 | h1(v19) = v138 & h1(v16) = v136 & h1(v12) = v133 & h1(v8) = v130 &
% 50.87/8.08 | h1(v4) = v127 & h1(v0) = v124 & h1(e13) = v134 & h1(e12) = v131 &
% 50.87/8.08 | h1(e11) = v128 & h1(e10) = v125 & op2(v134, v134) = v159 & op2(v134,
% 50.87/8.08 | v131) = v157 & op2(v134, v128) = v155 & op2(v134, v125) = v153 &
% 50.87/8.08 | op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, v128) =
% 50.87/8.08 | v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 50.87/8.08 | v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 &
% 50.87/8.08 | op2(v125, v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) =
% 50.87/8.08 | v129 & op2(v125, v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95)
% 50.87/8.08 | = v121 & op2(v98, v92) = v119 & op2(v98, v89) = v117 & op2(v95, v98)
% 50.87/8.08 | = v115 & op2(v95, v95) = v113 & op2(v95, v92) = v111 & op2(v95, v89)
% 50.87/8.08 | = v109 & op2(v92, v98) = v107 & op2(v92, v95) = v105 & op2(v92, v92)
% 50.87/8.08 | = v103 & op2(v92, v89) = v101 & op2(v89, v98) = v99 & op2(v89, v95)
% 50.87/8.08 | = v96 & op2(v89, v92) = v93 & op2(v89, v89) = v90 & op2(v62, v62) =
% 50.87/8.08 | v87 & op2(v62, v59) = v85 & op2(v62, v56) = v83 & op2(v62, v53) =
% 50.87/8.08 | v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 & op2(v59, v56) =
% 50.87/8.08 | v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56, v59) =
% 50.87/8.08 | v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 50.87/8.08 | v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) =
% 50.87/8.08 | v54 & op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45
% 50.87/8.08 | & op2(v14, v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 &
% 50.87/8.08 | op2(v10, v6) = v33 & op2(v10, v2) = v30 & op2(v6, v14) = v27 &
% 50.87/8.08 | op2(v6, v10) = v24 & op2(v6, v6) = v21 & op2(v6, v2) = v18 & op2(v2,
% 50.87/8.08 | v14) = v15 & op2(v2, v10) = v11 & op2(v2, v6) = v7 & op2(v2, v2) =
% 50.87/8.08 | v3 & op1(e13, e13) = v49 & op1(e13, e12) = v46 & op1(e13, e11) = v43
% 50.87/8.08 | & op1(e13, e10) = v40 & op1(e12, e13) = v37 & op1(e12, e12) = v34 &
% 50.87/8.08 | op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11, e13) = v25 &
% 50.87/8.08 | op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) = v16 &
% 50.87/8.08 | op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 50.87/8.08 | op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) &
% 50.87/8.08 | $i(v155) & $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) &
% 50.87/8.08 | $i(v149) & $i(v148) & $i(v147) & $i(v146) & $i(v145) & $i(v144) &
% 50.87/8.08 | $i(v143) & $i(v142) & $i(v141) & $i(v140) & $i(v139) & $i(v138) &
% 50.87/8.08 | $i(v137) & $i(v136) & $i(v135) & $i(v134) & $i(v133) & $i(v132) &
% 50.87/8.08 | $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & $i(v126) &
% 50.87/8.08 | $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 50.87/8.08 | $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) &
% 50.87/8.08 | $i(v113) & $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) &
% 50.87/8.08 | $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) &
% 50.87/8.08 | $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) &
% 50.87/8.08 | $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89)
% 50.87/8.08 | & $i(v88) & $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) &
% 50.87/8.08 | $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76)
% 50.87/8.08 | & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & $i(v70) &
% 50.87/8.08 | $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63)
% 50.87/8.08 | & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 50.87/8.08 | $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50)
% 50.87/8.08 | & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 50.87/8.08 | $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37)
% 50.87/8.08 | & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 50.87/8.08 | $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24)
% 50.87/8.08 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 50.87/8.08 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 50.87/8.08 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 50.87/8.08 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 = v158) | ~ (v157 =
% 50.87/8.08 | v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~ (v151 = v150) |
% 50.87/8.08 | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | ~ (v143
% 50.87/8.08 | = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136)
% 50.87/8.08 | | ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~
% 50.87/8.08 | (v126 = v124) | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 =
% 50.87/8.08 | e23) & ~ (v125 = e23)) | ( ~ (v134 = e22) & ~ (v131 = e22) &
% 50.87/8.08 | ~ (v128 = e22) & ~ (v125 = e22)) | ( ~ (v134 = e21) & ~ (v131
% 50.87/8.08 | = e21) & ~ (v128 = e21) & ~ (v125 = e21)) | ( ~ (v134 = e20)
% 50.87/8.08 | & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20))) & ( ~
% 50.87/8.08 | (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 =
% 50.87/8.08 | v116) | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) |
% 50.87/8.08 | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103
% 50.87/8.08 | = v102) | ~ (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) |
% 50.87/8.08 | ~ (v93 = v91) | ~ (v90 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23)
% 50.87/8.08 | & ~ (v92 = e23) & ~ (v89 = e23)) | ( ~ (v98 = e22) & ~ (v95 =
% 50.87/8.08 | e22) & ~ (v92 = e22) & ~ (v89 = e22)) | ( ~ (v98 = e21) & ~
% 50.87/8.08 | (v95 = e21) & ~ (v92 = e21) & ~ (v89 = e21)) | ( ~ (v98 = e20)
% 50.87/8.08 | & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 = e20))) & ( ~ (v87
% 50.87/8.08 | = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v80) | ~
% 50.87/8.08 | (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) |
% 50.87/8.08 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) |
% 50.87/8.08 | ~ (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52)
% 50.87/8.08 | | ( ~ (v62 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 =
% 50.87/8.08 | e23)) | ( ~ (v62 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~
% 50.87/8.08 | (v53 = e22)) | ( ~ (v62 = e21) & ~ (v59 = e21) & ~ (v56 = e21)
% 50.87/8.08 | & ~ (v53 = e21)) | ( ~ (v62 = e20) & ~ (v59 = e20) & ~ (v56 =
% 50.87/8.08 | e20) & ~ (v53 = e20))) & ( ~ (v51 = v50) | ~ (v48 = v47) |
% 50.87/8.08 | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 = v38) | ~ (v36 = v35) |
% 50.87/8.08 | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26) | ~ (v24 = v23)
% 50.87/8.08 | | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~ (v11 = v9)
% 50.87/8.08 | | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 = e23) &
% 50.87/8.08 | ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 50.87/8.08 | e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~
% 50.87/8.08 | (v10 = e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) &
% 50.87/8.08 | ~ (v10 = e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 50.87/8.08 |
% 50.87/8.08 | ALPHA: (function-axioms) implies:
% 50.87/8.08 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 50.87/8.08 | | ~ (h1(v2) = v0))
% 50.87/8.08 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 50.87/8.08 | | ~ (h2(v2) = v0))
% 50.87/8.08 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 50.87/8.08 | | ~ (h3(v2) = v0))
% 50.87/8.08 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 50.87/8.08 | | ~ (h4(v2) = v0))
% 50.87/8.08 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 50.87/8.08 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 50.87/8.08 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 50.87/8.08 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 50.87/8.08 |
% 50.87/8.08 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 50.87/8.08 | (30) h2(e13) = e21 & h2(e12) = all_4_2 & h2(e11) = all_4_1 & h2(e10) =
% 50.87/8.08 | all_4_0 & op2(all_4_0, e21) = all_4_2 & op2(e21, all_4_1) = all_4_0 &
% 50.87/8.08 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 50.87/8.08 |
% 50.87/8.08 | ALPHA: (30) implies:
% 50.87/8.08 | (31) op2(e21, e21) = all_4_1
% 50.87/8.08 | (32) op2(e21, all_4_1) = all_4_0
% 50.87/8.08 | (33) h2(e10) = all_4_0
% 50.87/8.08 | (34) h2(e11) = all_4_1
% 50.87/8.08 | (35) h2(e13) = e21
% 50.87/8.08 |
% 50.87/8.08 | DELTA: instantiating (21) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 50.87/8.08 | (36) h3(e13) = e22 & h3(e12) = all_6_2 & h3(e11) = all_6_1 & h3(e10) =
% 50.87/8.08 | all_6_0 & op2(all_6_0, e22) = all_6_2 & op2(e22, all_6_1) = all_6_0 &
% 50.87/8.08 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 50.87/8.08 |
% 50.87/8.08 | ALPHA: (36) implies:
% 50.87/8.08 | (37) op2(e22, e22) = all_6_1
% 50.87/8.08 | (38) op2(e22, all_6_1) = all_6_0
% 50.87/8.08 | (39) op2(all_6_0, e22) = all_6_2
% 50.87/8.08 | (40) h3(e10) = all_6_0
% 50.87/8.08 | (41) h3(e11) = all_6_1
% 50.87/8.08 | (42) h3(e12) = all_6_2
% 50.87/8.08 | (43) h3(e13) = e22
% 50.87/8.08 |
% 50.87/8.08 | DELTA: instantiating (22) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 50.87/8.08 | (44) h4(e13) = e23 & h4(e12) = all_8_2 & h4(e11) = all_8_1 & h4(e10) =
% 50.87/8.08 | all_8_0 & op2(all_8_0, e23) = all_8_2 & op2(e23, all_8_1) = all_8_0 &
% 50.87/8.08 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 50.87/8.08 |
% 50.87/8.08 | ALPHA: (44) implies:
% 50.87/8.08 | (45) op2(e23, e23) = all_8_1
% 50.87/8.08 | (46) op2(e23, all_8_1) = all_8_0
% 50.87/8.08 | (47) op2(all_8_0, e23) = all_8_2
% 50.87/8.08 | (48) h4(e10) = all_8_0
% 50.87/8.08 | (49) h4(e11) = all_8_1
% 50.87/8.08 | (50) h4(e12) = all_8_2
% 50.87/8.08 | (51) h4(e13) = e23
% 50.87/8.08 |
% 50.87/8.08 | DELTA: instantiating (19) with fresh symbols all_10_0, all_10_1, all_10_2
% 50.87/8.08 | gives:
% 50.87/8.09 | (52) h1(e13) = e20 & h1(e12) = all_10_2 & h1(e11) = all_10_1 & h1(e10) =
% 50.87/8.09 | all_10_0 & op2(all_10_0, e20) = all_10_2 & op2(e20, all_10_1) =
% 50.87/8.09 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 50.87/8.09 | $i(all_10_2)
% 50.87/8.09 |
% 50.87/8.09 | ALPHA: (52) implies:
% 50.87/8.09 | (53) op2(e20, e20) = all_10_1
% 50.87/8.09 | (54) op2(e20, all_10_1) = all_10_0
% 50.87/8.09 | (55) op2(all_10_0, e20) = all_10_2
% 50.87/8.09 | (56) h1(e10) = all_10_0
% 50.87/8.09 | (57) h1(e11) = all_10_1
% 50.87/8.09 | (58) h1(e12) = all_10_2
% 50.87/8.09 | (59) h1(e13) = e20
% 50.87/8.09 |
% 50.87/8.09 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 50.87/8.09 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 50.87/8.09 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 50.87/8.09 | (60) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 50.87/8.09 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 50.87/8.09 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 50.87/8.09 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 50.87/8.09 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 50.87/8.09 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 50.87/8.09 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 50.87/8.09 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 50.87/8.09 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 50.87/8.09 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 50.87/8.09 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 50.87/8.09 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 50.87/8.09 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 50.87/8.09 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 50.87/8.09 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 50.87/8.09 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 50.87/8.09 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 50.87/8.09 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 50.87/8.09 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 50.87/8.09 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_14 & op1(e13,
% 50.87/8.09 | e12) = all_12_15 & op1(e13, e11) = all_12_13 & op1(e13, e10) =
% 50.87/8.09 | all_12_12 & op1(e12, e13) = all_12_10 & op1(e12, e12) = all_12_11 &
% 50.87/8.09 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_8 & op1(e11, e13) =
% 50.87/8.09 | all_12_6 & op1(e11, e12) = all_12_7 & op1(e11, e11) = all_12_5 &
% 50.87/8.09 | op1(e11, e10) = all_12_4 & op1(e10, e13) = all_12_2 & op1(e10, e12) =
% 50.87/8.09 | all_12_3 & op1(e10, e11) = all_12_1 & op1(e10, e10) = all_12_0 &
% 50.87/8.09 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 50.87/8.09 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 50.87/8.09 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 50.87/8.09 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 50.87/8.09 |
% 50.87/8.09 | ALPHA: (60) implies:
% 50.87/8.09 | (61) ~ (all_12_14 = all_12_15)
% 50.87/8.09 | (62) ~ (all_12_13 = all_12_15)
% 50.87/8.09 | (63) ~ (all_12_13 = all_12_14)
% 50.87/8.09 | (64) ~ (all_12_12 = all_12_15)
% 50.87/8.09 | (65) ~ (all_12_12 = all_12_14)
% 50.87/8.09 | (66) ~ (all_12_12 = all_12_13)
% 50.87/8.09 | (67) ~ (all_12_11 = all_12_15)
% 50.87/8.09 | (68) ~ (all_12_10 = all_12_14)
% 50.87/8.09 | (69) ~ (all_12_10 = all_12_11)
% 50.87/8.09 | (70) ~ (all_12_9 = all_12_11)
% 50.87/8.09 | (71) ~ (all_12_9 = all_12_10)
% 50.87/8.09 | (72) ~ (all_12_8 = all_12_12)
% 50.87/8.09 | (73) ~ (all_12_8 = all_12_11)
% 50.87/8.09 | (74) ~ (all_12_8 = all_12_10)
% 50.87/8.09 | (75) ~ (all_12_8 = all_12_9)
% 50.87/8.09 | (76) ~ (all_12_7 = all_12_15)
% 50.87/8.09 | (77) ~ (all_12_6 = all_12_14)
% 50.87/8.09 | (78) ~ (all_12_6 = all_12_10)
% 50.87/8.09 | (79) ~ (all_12_6 = all_12_7)
% 50.87/8.09 | (80) ~ (all_12_5 = all_12_13)
% 50.87/8.09 | (81) ~ (all_12_5 = all_12_9)
% 50.87/8.09 | (82) ~ (all_12_5 = all_12_7)
% 50.87/8.09 | (83) ~ (all_12_5 = all_12_6)
% 50.87/8.09 | (84) ~ (all_12_4 = all_12_12)
% 50.87/8.09 | (85) ~ (all_12_4 = all_12_8)
% 50.87/8.09 | (86) ~ (all_12_4 = all_12_7)
% 50.87/8.09 | (87) ~ (all_12_4 = all_12_6)
% 50.87/8.09 | (88) ~ (all_12_4 = all_12_5)
% 50.87/8.09 | (89) ~ (all_12_3 = all_12_15)
% 50.87/8.09 | (90) ~ (all_12_3 = all_12_7)
% 50.87/8.09 | (91) ~ (all_12_2 = all_12_10)
% 50.87/8.09 | (92) ~ (all_12_2 = all_12_6)
% 50.87/8.09 | (93) ~ (all_12_1 = all_12_13)
% 50.87/8.09 | (94) ~ (all_12_1 = all_12_9)
% 50.87/8.09 | (95) ~ (all_12_1 = all_12_5)
% 50.87/8.09 | (96) ~ (all_12_1 = all_12_3)
% 50.87/8.09 | (97) ~ (all_12_1 = all_12_2)
% 50.87/8.09 | (98) ~ (all_12_0 = all_12_12)
% 50.87/8.09 | (99) ~ (all_12_0 = all_12_8)
% 50.87/8.09 | (100) ~ (all_12_0 = all_12_4)
% 50.87/8.09 | (101) ~ (all_12_0 = all_12_3)
% 50.87/8.09 | (102) ~ (all_12_0 = all_12_1)
% 50.87/8.09 | (103) op1(e10, e10) = all_12_0
% 50.87/8.09 | (104) op1(e10, e11) = all_12_1
% 50.87/8.09 | (105) op1(e10, e12) = all_12_3
% 50.87/8.09 | (106) op1(e10, e13) = all_12_2
% 50.87/8.09 | (107) op1(e11, e10) = all_12_4
% 50.87/8.09 | (108) op1(e11, e11) = all_12_5
% 50.87/8.09 | (109) op1(e11, e12) = all_12_7
% 50.87/8.09 | (110) op1(e11, e13) = all_12_6
% 50.87/8.09 | (111) op1(e12, e10) = all_12_8
% 50.87/8.09 | (112) op1(e12, e11) = all_12_9
% 50.87/8.09 | (113) op1(e12, e12) = all_12_11
% 50.87/8.09 | (114) op1(e12, e13) = all_12_10
% 50.87/8.09 | (115) op1(e13, e10) = all_12_12
% 50.87/8.09 | (116) op1(e13, e11) = all_12_13
% 50.87/8.09 | (117) op1(e13, e12) = all_12_15
% 50.87/8.09 | (118) op1(e13, e13) = all_12_14
% 50.87/8.09 |
% 50.87/8.09 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 50.87/8.09 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 50.87/8.09 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 50.87/8.10 | (119) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 50.87/8.10 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 50.87/8.10 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 50.87/8.10 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 50.87/8.10 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 50.87/8.10 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 50.87/8.10 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 50.87/8.10 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 50.87/8.10 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 50.87/8.10 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 50.87/8.10 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 50.87/8.10 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 50.87/8.10 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 50.87/8.10 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 50.87/8.10 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 50.87/8.10 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 50.87/8.10 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 50.87/8.10 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 50.87/8.10 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 50.87/8.10 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 50.87/8.10 | all_14_15) & op2(e23, e23) = all_14_14 & op2(e23, e22) = all_14_15
% 50.87/8.10 | & op2(e23, e21) = all_14_13 & op2(e23, e20) = all_14_12 & op2(e22,
% 50.87/8.10 | e23) = all_14_10 & op2(e22, e22) = all_14_11 & op2(e22, e21) =
% 50.87/8.10 | all_14_9 & op2(e22, e20) = all_14_8 & op2(e21, e23) = all_14_6 &
% 50.87/8.10 | op2(e21, e22) = all_14_7 & op2(e21, e21) = all_14_5 & op2(e21, e20) =
% 50.87/8.10 | all_14_4 & op2(e20, e23) = all_14_2 & op2(e20, e22) = all_14_3 &
% 50.87/8.10 | op2(e20, e21) = all_14_1 & op2(e20, e20) = all_14_0 & $i(all_14_0) &
% 50.87/8.10 | $i(all_14_1) & $i(all_14_2) & $i(all_14_3) & $i(all_14_4) &
% 50.87/8.10 | $i(all_14_5) & $i(all_14_6) & $i(all_14_7) & $i(all_14_8) &
% 50.87/8.10 | $i(all_14_9) & $i(all_14_10) & $i(all_14_11) & $i(all_14_12) &
% 50.87/8.10 | $i(all_14_13) & $i(all_14_14) & $i(all_14_15)
% 50.87/8.10 |
% 50.87/8.10 | ALPHA: (119) implies:
% 50.87/8.10 | (120) ~ (all_14_14 = all_14_15)
% 50.87/8.10 | (121) ~ (all_14_13 = all_14_15)
% 50.87/8.10 | (122) ~ (all_14_13 = all_14_14)
% 50.87/8.10 | (123) ~ (all_14_12 = all_14_15)
% 50.87/8.10 | (124) ~ (all_14_12 = all_14_14)
% 50.87/8.10 | (125) ~ (all_14_12 = all_14_13)
% 50.87/8.10 | (126) ~ (all_14_11 = all_14_15)
% 50.87/8.10 | (127) ~ (all_14_10 = all_14_14)
% 50.87/8.10 | (128) ~ (all_14_10 = all_14_11)
% 50.87/8.10 | (129) ~ (all_14_9 = all_14_13)
% 50.87/8.10 | (130) ~ (all_14_9 = all_14_11)
% 50.87/8.10 | (131) ~ (all_14_9 = all_14_10)
% 50.87/8.10 | (132) ~ (all_14_8 = all_14_12)
% 50.87/8.10 | (133) ~ (all_14_8 = all_14_11)
% 50.87/8.10 | (134) ~ (all_14_8 = all_14_10)
% 50.87/8.10 | (135) ~ (all_14_8 = all_14_9)
% 50.87/8.10 | (136) ~ (all_14_7 = all_14_15)
% 50.87/8.10 | (137) ~ (all_14_7 = all_14_11)
% 50.87/8.10 | (138) ~ (all_14_6 = all_14_14)
% 50.87/8.10 | (139) ~ (all_14_6 = all_14_10)
% 50.87/8.10 | (140) ~ (all_14_6 = all_14_7)
% 50.87/8.10 | (141) ~ (all_14_5 = all_14_13)
% 50.87/8.10 | (142) ~ (all_14_5 = all_14_9)
% 50.87/8.10 | (143) ~ (all_14_5 = all_14_7)
% 50.87/8.10 | (144) ~ (all_14_5 = all_14_6)
% 50.87/8.10 | (145) ~ (all_14_4 = all_14_12)
% 50.87/8.10 | (146) ~ (all_14_4 = all_14_8)
% 50.87/8.10 | (147) ~ (all_14_4 = all_14_7)
% 50.87/8.10 | (148) ~ (all_14_4 = all_14_6)
% 50.87/8.10 | (149) ~ (all_14_4 = all_14_5)
% 50.87/8.10 | (150) ~ (all_14_3 = all_14_15)
% 50.87/8.10 | (151) ~ (all_14_3 = all_14_11)
% 50.87/8.10 | (152) ~ (all_14_3 = all_14_7)
% 50.87/8.10 | (153) ~ (all_14_2 = all_14_14)
% 50.87/8.10 | (154) ~ (all_14_2 = all_14_10)
% 50.87/8.10 | (155) ~ (all_14_2 = all_14_6)
% 50.87/8.10 | (156) ~ (all_14_2 = all_14_3)
% 50.87/8.10 | (157) ~ (all_14_1 = all_14_13)
% 50.87/8.10 | (158) ~ (all_14_1 = all_14_9)
% 50.87/8.10 | (159) ~ (all_14_1 = all_14_5)
% 50.87/8.10 | (160) ~ (all_14_1 = all_14_3)
% 50.87/8.10 | (161) ~ (all_14_1 = all_14_2)
% 50.87/8.10 | (162) ~ (all_14_0 = all_14_12)
% 50.87/8.10 | (163) ~ (all_14_0 = all_14_8)
% 50.87/8.10 | (164) ~ (all_14_0 = all_14_4)
% 50.87/8.10 | (165) ~ (all_14_0 = all_14_3)
% 50.87/8.10 | (166) ~ (all_14_0 = all_14_1)
% 50.87/8.10 | (167) op2(e20, e20) = all_14_0
% 50.87/8.10 | (168) op2(e20, e21) = all_14_1
% 50.87/8.10 | (169) op2(e20, e22) = all_14_3
% 50.87/8.10 | (170) op2(e20, e23) = all_14_2
% 50.87/8.10 | (171) op2(e21, e20) = all_14_4
% 50.87/8.10 | (172) op2(e21, e21) = all_14_5
% 50.87/8.10 | (173) op2(e21, e22) = all_14_7
% 50.87/8.10 | (174) op2(e21, e23) = all_14_6
% 50.87/8.10 | (175) op2(e22, e20) = all_14_8
% 50.87/8.10 | (176) op2(e22, e21) = all_14_9
% 50.87/8.10 | (177) op2(e22, e22) = all_14_11
% 50.87/8.10 | (178) op2(e22, e23) = all_14_10
% 50.87/8.10 | (179) op2(e23, e20) = all_14_12
% 50.87/8.10 | (180) op2(e23, e21) = all_14_13
% 50.87/8.10 | (181) op2(e23, e22) = all_14_15
% 50.87/8.10 | (182) op2(e23, e23) = all_14_14
% 50.87/8.10 |
% 50.87/8.10 | DELTA: instantiating (11) with fresh symbols all_16_0, all_16_1, all_16_2,
% 50.87/8.10 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 50.87/8.10 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15,
% 50.87/8.10 | all_16_16, all_16_17, all_16_18, all_16_19, all_16_20, all_16_21,
% 50.87/8.10 | all_16_22, all_16_23, all_16_24, all_16_25, all_16_26, all_16_27,
% 50.87/8.10 | all_16_28, all_16_29, all_16_30, all_16_31 gives:
% 50.87/8.11 | (183) op1(all_16_1, all_16_1) = all_16_0 & op1(all_16_3, all_16_3) =
% 50.87/8.11 | all_16_2 & op1(all_16_5, all_16_5) = all_16_4 & op1(all_16_7,
% 50.87/8.11 | all_16_7) = all_16_6 & op1(all_16_9, all_16_9) = all_16_8 &
% 50.87/8.11 | op1(all_16_11, all_16_11) = all_16_10 & op1(all_16_13, all_16_13) =
% 50.87/8.11 | all_16_12 & op1(all_16_15, all_16_15) = all_16_14 & op1(all_16_17,
% 50.87/8.11 | all_16_17) = all_16_16 & op1(all_16_19, all_16_19) = all_16_18 &
% 50.87/8.11 | op1(all_16_21, all_16_21) = all_16_20 & op1(all_16_23, all_16_23) =
% 50.87/8.11 | all_16_22 & op1(all_16_25, all_16_25) = all_16_24 & op1(all_16_27,
% 50.87/8.11 | all_16_27) = all_16_26 & op1(all_16_29, all_16_29) = all_16_28 &
% 50.87/8.11 | op1(all_16_31, all_16_31) = all_16_30 & op1(e13, e13) = all_16_1 &
% 50.87/8.11 | op1(e13, e12) = all_16_3 & op1(e13, e11) = all_16_5 & op1(e13, e10) =
% 50.87/8.11 | all_16_7 & op1(e12, e13) = all_16_9 & op1(e12, e12) = all_16_11 &
% 50.87/8.11 | op1(e12, e11) = all_16_13 & op1(e12, e10) = all_16_15 & op1(e11, e13)
% 50.87/8.11 | = all_16_17 & op1(e11, e12) = all_16_19 & op1(e11, e11) = all_16_21 &
% 50.87/8.11 | op1(e11, e10) = all_16_23 & op1(e10, e13) = all_16_25 & op1(e10, e12)
% 50.87/8.11 | = all_16_27 & op1(e10, e11) = all_16_29 & op1(e10, e10) = all_16_31 &
% 50.87/8.11 | $i(all_16_0) & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) &
% 50.87/8.11 | $i(all_16_4) & $i(all_16_5) & $i(all_16_6) & $i(all_16_7) &
% 50.87/8.11 | $i(all_16_8) & $i(all_16_9) & $i(all_16_10) & $i(all_16_11) &
% 50.87/8.11 | $i(all_16_12) & $i(all_16_13) & $i(all_16_14) & $i(all_16_15) &
% 50.87/8.11 | $i(all_16_16) & $i(all_16_17) & $i(all_16_18) & $i(all_16_19) &
% 50.87/8.11 | $i(all_16_20) & $i(all_16_21) & $i(all_16_22) & $i(all_16_23) &
% 50.87/8.11 | $i(all_16_24) & $i(all_16_25) & $i(all_16_26) & $i(all_16_27) &
% 50.87/8.11 | $i(all_16_28) & $i(all_16_29) & $i(all_16_30) & $i(all_16_31) &
% 50.87/8.11 | ((all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6 = e10)
% 50.87/8.11 | | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 & all_16_14 =
% 50.87/8.11 | e10) | (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 50.87/8.11 | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 & all_16_28
% 50.87/8.11 | = e11 & all_16_30 = e10))
% 50.87/8.11 |
% 50.87/8.11 | ALPHA: (183) implies:
% 50.87/8.11 | (184) op1(e10, e10) = all_16_31
% 50.87/8.11 | (185) op1(e10, e11) = all_16_29
% 50.87/8.11 | (186) op1(e10, e12) = all_16_27
% 50.87/8.11 | (187) op1(e10, e13) = all_16_25
% 50.87/8.11 | (188) op1(e11, e10) = all_16_23
% 50.87/8.11 | (189) op1(e11, e11) = all_16_21
% 50.87/8.11 | (190) op1(e11, e12) = all_16_19
% 50.87/8.11 | (191) op1(e11, e13) = all_16_17
% 50.87/8.11 | (192) op1(e12, e10) = all_16_15
% 50.87/8.11 | (193) op1(e12, e11) = all_16_13
% 50.87/8.11 | (194) op1(e12, e12) = all_16_11
% 50.87/8.11 | (195) op1(e12, e13) = all_16_9
% 50.87/8.11 | (196) op1(e13, e10) = all_16_7
% 50.87/8.11 | (197) op1(e13, e11) = all_16_5
% 50.87/8.11 | (198) op1(e13, e12) = all_16_3
% 50.87/8.11 | (199) op1(e13, e13) = all_16_1
% 50.87/8.11 | (200) op1(all_16_31, all_16_31) = all_16_30
% 50.87/8.11 | (201) op1(all_16_29, all_16_29) = all_16_28
% 50.87/8.11 | (202) op1(all_16_27, all_16_27) = all_16_26
% 50.87/8.11 | (203) op1(all_16_25, all_16_25) = all_16_24
% 50.87/8.11 | (204) op1(all_16_23, all_16_23) = all_16_22
% 50.87/8.11 | (205) op1(all_16_21, all_16_21) = all_16_20
% 50.87/8.11 | (206) op1(all_16_19, all_16_19) = all_16_18
% 50.87/8.11 | (207) op1(all_16_17, all_16_17) = all_16_16
% 50.87/8.11 | (208) op1(all_16_15, all_16_15) = all_16_14
% 50.87/8.11 | (209) op1(all_16_13, all_16_13) = all_16_12
% 50.87/8.11 | (210) op1(all_16_9, all_16_9) = all_16_8
% 50.87/8.11 | (211) op1(all_16_7, all_16_7) = all_16_6
% 50.87/8.11 | (212) op1(all_16_5, all_16_5) = all_16_4
% 50.87/8.11 | (213) op1(all_16_3, all_16_3) = all_16_2
% 50.87/8.11 | (214) op1(all_16_1, all_16_1) = all_16_0
% 50.87/8.11 | (215) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6 = e10) |
% 50.87/8.11 | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 & all_16_14 =
% 50.87/8.11 | e10) | (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 50.87/8.11 | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 & all_16_28 =
% 50.87/8.11 | e11 & all_16_30 = e10)
% 50.87/8.11 |
% 50.87/8.11 | DELTA: instantiating (12) with fresh symbols all_18_0, all_18_1, all_18_2,
% 50.87/8.11 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 50.87/8.11 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15,
% 50.87/8.11 | all_18_16, all_18_17, all_18_18, all_18_19, all_18_20, all_18_21,
% 50.87/8.11 | all_18_22, all_18_23, all_18_24, all_18_25, all_18_26, all_18_27,
% 50.87/8.11 | all_18_28, all_18_29, all_18_30, all_18_31 gives:
% 50.87/8.11 | (216) op2(all_18_1, all_18_1) = all_18_0 & op2(all_18_3, all_18_3) =
% 50.87/8.11 | all_18_2 & op2(all_18_5, all_18_5) = all_18_4 & op2(all_18_7,
% 50.87/8.11 | all_18_7) = all_18_6 & op2(all_18_9, all_18_9) = all_18_8 &
% 50.87/8.11 | op2(all_18_11, all_18_11) = all_18_10 & op2(all_18_13, all_18_13) =
% 50.87/8.11 | all_18_12 & op2(all_18_15, all_18_15) = all_18_14 & op2(all_18_17,
% 50.87/8.11 | all_18_17) = all_18_16 & op2(all_18_19, all_18_19) = all_18_18 &
% 50.87/8.11 | op2(all_18_21, all_18_21) = all_18_20 & op2(all_18_23, all_18_23) =
% 50.87/8.11 | all_18_22 & op2(all_18_25, all_18_25) = all_18_24 & op2(all_18_27,
% 50.87/8.11 | all_18_27) = all_18_26 & op2(all_18_29, all_18_29) = all_18_28 &
% 50.87/8.11 | op2(all_18_31, all_18_31) = all_18_30 & op2(e23, e23) = all_18_1 &
% 50.87/8.11 | op2(e23, e22) = all_18_3 & op2(e23, e21) = all_18_5 & op2(e23, e20) =
% 50.87/8.11 | all_18_7 & op2(e22, e23) = all_18_9 & op2(e22, e22) = all_18_11 &
% 50.87/8.11 | op2(e22, e21) = all_18_13 & op2(e22, e20) = all_18_15 & op2(e21, e23)
% 50.87/8.11 | = all_18_17 & op2(e21, e22) = all_18_19 & op2(e21, e21) = all_18_21 &
% 50.87/8.11 | op2(e21, e20) = all_18_23 & op2(e20, e23) = all_18_25 & op2(e20, e22)
% 50.87/8.11 | = all_18_27 & op2(e20, e21) = all_18_29 & op2(e20, e20) = all_18_31 &
% 50.87/8.11 | $i(all_18_0) & $i(all_18_1) & $i(all_18_2) & $i(all_18_3) &
% 50.87/8.11 | $i(all_18_4) & $i(all_18_5) & $i(all_18_6) & $i(all_18_7) &
% 50.87/8.11 | $i(all_18_8) & $i(all_18_9) & $i(all_18_10) & $i(all_18_11) &
% 50.87/8.11 | $i(all_18_12) & $i(all_18_13) & $i(all_18_14) & $i(all_18_15) &
% 50.87/8.11 | $i(all_18_16) & $i(all_18_17) & $i(all_18_18) & $i(all_18_19) &
% 50.87/8.11 | $i(all_18_20) & $i(all_18_21) & $i(all_18_22) & $i(all_18_23) &
% 50.87/8.11 | $i(all_18_24) & $i(all_18_25) & $i(all_18_26) & $i(all_18_27) &
% 50.87/8.11 | $i(all_18_28) & $i(all_18_29) & $i(all_18_30) & $i(all_18_31) &
% 50.87/8.11 | ((all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6 = e20)
% 50.87/8.11 | | (all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 & all_18_14 =
% 50.87/8.11 | e20) | (all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 50.87/8.11 | all_18_22 = e20) | (all_18_24 = e23 & all_18_26 = e22 & all_18_28
% 50.87/8.11 | = e21 & all_18_30 = e20))
% 50.87/8.11 |
% 50.87/8.11 | ALPHA: (216) implies:
% 51.12/8.11 | (217) op2(e20, e20) = all_18_31
% 51.12/8.11 | (218) op2(e20, e21) = all_18_29
% 51.12/8.11 | (219) op2(e20, e22) = all_18_27
% 51.12/8.11 | (220) op2(e20, e23) = all_18_25
% 51.12/8.11 | (221) op2(e21, e20) = all_18_23
% 51.12/8.11 | (222) op2(e21, e21) = all_18_21
% 51.12/8.11 | (223) op2(e21, e22) = all_18_19
% 51.12/8.11 | (224) op2(e21, e23) = all_18_17
% 51.12/8.11 | (225) op2(e22, e20) = all_18_15
% 51.12/8.11 | (226) op2(e22, e21) = all_18_13
% 51.12/8.11 | (227) op2(e22, e22) = all_18_11
% 51.12/8.11 | (228) op2(e22, e23) = all_18_9
% 51.12/8.11 | (229) op2(e23, e20) = all_18_7
% 51.12/8.11 | (230) op2(e23, e21) = all_18_5
% 51.12/8.11 | (231) op2(e23, e22) = all_18_3
% 51.12/8.11 | (232) op2(e23, e23) = all_18_1
% 51.12/8.11 | (233) op2(all_18_31, all_18_31) = all_18_30
% 51.12/8.11 | (234) op2(all_18_29, all_18_29) = all_18_28
% 51.12/8.11 | (235) op2(all_18_27, all_18_27) = all_18_26
% 51.12/8.11 | (236) op2(all_18_25, all_18_25) = all_18_24
% 51.12/8.11 | (237) op2(all_18_23, all_18_23) = all_18_22
% 51.12/8.12 | (238) op2(all_18_21, all_18_21) = all_18_20
% 51.12/8.12 | (239) op2(all_18_19, all_18_19) = all_18_18
% 51.12/8.12 | (240) op2(all_18_17, all_18_17) = all_18_16
% 51.12/8.12 | (241) op2(all_18_15, all_18_15) = all_18_14
% 51.12/8.12 | (242) op2(all_18_13, all_18_13) = all_18_12
% 51.12/8.12 | (243) op2(all_18_11, all_18_11) = all_18_10
% 51.12/8.12 | (244) op2(all_18_9, all_18_9) = all_18_8
% 51.12/8.12 | (245) op2(all_18_7, all_18_7) = all_18_6
% 51.12/8.12 | (246) op2(all_18_5, all_18_5) = all_18_4
% 51.12/8.12 | (247) op2(all_18_3, all_18_3) = all_18_2
% 51.12/8.12 | (248) op2(all_18_1, all_18_1) = all_18_0
% 51.12/8.12 | (249) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6 = e20) |
% 51.12/8.12 | (all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 & all_18_14 =
% 51.12/8.12 | e20) | (all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 51.12/8.12 | all_18_22 = e20) | (all_18_24 = e23 & all_18_26 = e22 & all_18_28 =
% 51.12/8.12 | e21 & all_18_30 = e20)
% 51.12/8.12 |
% 51.12/8.12 | DELTA: instantiating (1) with fresh symbols all_20_0, all_20_1, all_20_2,
% 51.12/8.12 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 51.12/8.12 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 51.12/8.12 | (250) op1(e13, e13) = all_20_15 & op1(e13, e12) = all_20_14 & op1(e13, e11)
% 51.12/8.12 | = all_20_13 & op1(e13, e10) = all_20_12 & op1(e12, e13) = all_20_11 &
% 51.12/8.12 | op1(e12, e12) = all_20_10 & op1(e12, e11) = all_20_9 & op1(e12, e10)
% 51.12/8.12 | = all_20_8 & op1(e11, e13) = all_20_7 & op1(e11, e12) = all_20_6 &
% 51.12/8.12 | op1(e11, e11) = all_20_5 & op1(e11, e10) = all_20_4 & op1(e10, e13) =
% 51.12/8.12 | all_20_3 & op1(e10, e12) = all_20_2 & op1(e10, e11) = all_20_1 &
% 51.12/8.12 | op1(e10, e10) = all_20_0 & $i(all_20_0) & $i(all_20_1) & $i(all_20_2)
% 51.12/8.12 | & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) & $i(all_20_6) &
% 51.12/8.12 | $i(all_20_7) & $i(all_20_8) & $i(all_20_9) & $i(all_20_10) &
% 51.12/8.12 | $i(all_20_11) & $i(all_20_12) & $i(all_20_13) & $i(all_20_14) &
% 51.12/8.12 | $i(all_20_15) & (all_20_0 = e13 | all_20_0 = e12 | all_20_0 = e11 |
% 51.12/8.12 | all_20_0 = e10) & (all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e11
% 51.12/8.12 | | all_20_1 = e10) & (all_20_2 = e13 | all_20_2 = e12 | all_20_2 =
% 51.12/8.12 | e11 | all_20_2 = e10) & (all_20_3 = e13 | all_20_3 = e12 | all_20_3
% 51.12/8.12 | = e11 | all_20_3 = e10) & (all_20_4 = e13 | all_20_4 = e12 |
% 51.12/8.12 | all_20_4 = e11 | all_20_4 = e10) & (all_20_5 = e13 | all_20_5 = e12
% 51.12/8.12 | | all_20_5 = e11 | all_20_5 = e10) & (all_20_6 = e13 | all_20_6 =
% 51.12/8.12 | e12 | all_20_6 = e11 | all_20_6 = e10) & (all_20_7 = e13 | all_20_7
% 51.12/8.12 | = e12 | all_20_7 = e11 | all_20_7 = e10) & (all_20_8 = e13 |
% 51.12/8.12 | all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10) & (all_20_9 = e13
% 51.12/8.12 | | all_20_9 = e12 | all_20_9 = e11 | all_20_9 = e10) & (all_20_10 =
% 51.12/8.12 | e13 | all_20_10 = e12 | all_20_10 = e11 | all_20_10 = e10) &
% 51.12/8.12 | (all_20_11 = e13 | all_20_11 = e12 | all_20_11 = e11 | all_20_11 =
% 51.12/8.12 | e10) & (all_20_12 = e13 | all_20_12 = e12 | all_20_12 = e11 |
% 51.12/8.12 | all_20_12 = e10) & (all_20_13 = e13 | all_20_13 = e12 | all_20_13 =
% 51.12/8.12 | e11 | all_20_13 = e10) & (all_20_14 = e13 | all_20_14 = e12 |
% 51.12/8.12 | all_20_14 = e11 | all_20_14 = e10) & (all_20_15 = e13 | all_20_15 =
% 51.12/8.12 | e12 | all_20_15 = e11 | all_20_15 = e10)
% 51.12/8.12 |
% 51.12/8.12 | ALPHA: (250) implies:
% 51.12/8.12 | (251) op1(e10, e10) = all_20_0
% 51.12/8.12 | (252) op1(e10, e11) = all_20_1
% 51.12/8.12 | (253) op1(e10, e12) = all_20_2
% 51.12/8.12 | (254) op1(e10, e13) = all_20_3
% 51.12/8.12 | (255) op1(e11, e10) = all_20_4
% 51.12/8.12 | (256) op1(e11, e11) = all_20_5
% 51.12/8.12 | (257) op1(e11, e12) = all_20_6
% 51.12/8.12 | (258) op1(e11, e13) = all_20_7
% 51.12/8.12 | (259) op1(e12, e10) = all_20_8
% 51.12/8.12 | (260) op1(e12, e11) = all_20_9
% 51.12/8.12 | (261) op1(e12, e12) = all_20_10
% 51.12/8.12 | (262) op1(e12, e13) = all_20_11
% 51.12/8.12 | (263) op1(e13, e10) = all_20_12
% 51.12/8.12 | (264) op1(e13, e11) = all_20_13
% 51.12/8.12 | (265) op1(e13, e12) = all_20_14
% 51.12/8.12 | (266) op1(e13, e13) = all_20_15
% 51.12/8.12 | (267) all_20_14 = e13 | all_20_14 = e12 | all_20_14 = e11 | all_20_14 = e10
% 51.12/8.12 | (268) all_20_12 = e13 | all_20_12 = e12 | all_20_12 = e11 | all_20_12 = e10
% 51.12/8.12 | (269) all_20_11 = e13 | all_20_11 = e12 | all_20_11 = e11 | all_20_11 = e10
% 51.12/8.12 | (270) all_20_10 = e13 | all_20_10 = e12 | all_20_10 = e11 | all_20_10 = e10
% 51.12/8.12 | (271) all_20_9 = e13 | all_20_9 = e12 | all_20_9 = e11 | all_20_9 = e10
% 51.12/8.12 | (272) all_20_8 = e13 | all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10
% 51.12/8.12 | (273) all_20_7 = e13 | all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.12/8.12 | (274) all_20_6 = e13 | all_20_6 = e12 | all_20_6 = e11 | all_20_6 = e10
% 51.12/8.12 | (275) all_20_5 = e13 | all_20_5 = e12 | all_20_5 = e11 | all_20_5 = e10
% 51.12/8.12 | (276) all_20_4 = e13 | all_20_4 = e12 | all_20_4 = e11 | all_20_4 = e10
% 51.12/8.12 | (277) all_20_2 = e13 | all_20_2 = e12 | all_20_2 = e11 | all_20_2 = e10
% 51.12/8.12 | (278) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e11 | all_20_1 = e10
% 51.12/8.12 | (279) all_20_0 = e13 | all_20_0 = e12 | all_20_0 = e11 | all_20_0 = e10
% 51.12/8.12 |
% 51.12/8.12 | DELTA: instantiating (3) with fresh symbols all_22_0, all_22_1, all_22_2,
% 51.12/8.12 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 51.12/8.12 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 51.12/8.13 | (280) op2(e23, e23) = all_22_15 & op2(e23, e22) = all_22_14 & op2(e23, e21)
% 51.12/8.13 | = all_22_13 & op2(e23, e20) = all_22_12 & op2(e22, e23) = all_22_11 &
% 51.12/8.13 | op2(e22, e22) = all_22_10 & op2(e22, e21) = all_22_9 & op2(e22, e20)
% 51.12/8.13 | = all_22_8 & op2(e21, e23) = all_22_7 & op2(e21, e22) = all_22_6 &
% 51.12/8.13 | op2(e21, e21) = all_22_5 & op2(e21, e20) = all_22_4 & op2(e20, e23) =
% 51.12/8.13 | all_22_3 & op2(e20, e22) = all_22_2 & op2(e20, e21) = all_22_1 &
% 51.12/8.13 | op2(e20, e20) = all_22_0 & $i(all_22_0) & $i(all_22_1) & $i(all_22_2)
% 51.12/8.13 | & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & $i(all_22_6) &
% 51.12/8.13 | $i(all_22_7) & $i(all_22_8) & $i(all_22_9) & $i(all_22_10) &
% 51.12/8.13 | $i(all_22_11) & $i(all_22_12) & $i(all_22_13) & $i(all_22_14) &
% 51.12/8.13 | $i(all_22_15) & (all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e21 |
% 51.12/8.13 | all_22_0 = e20) & (all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e21
% 51.12/8.13 | | all_22_1 = e20) & (all_22_2 = e23 | all_22_2 = e22 | all_22_2 =
% 51.12/8.13 | e21 | all_22_2 = e20) & (all_22_3 = e23 | all_22_3 = e22 | all_22_3
% 51.12/8.13 | = e21 | all_22_3 = e20) & (all_22_4 = e23 | all_22_4 = e22 |
% 51.12/8.13 | all_22_4 = e21 | all_22_4 = e20) & (all_22_5 = e23 | all_22_5 = e22
% 51.12/8.13 | | all_22_5 = e21 | all_22_5 = e20) & (all_22_6 = e23 | all_22_6 =
% 51.12/8.13 | e22 | all_22_6 = e21 | all_22_6 = e20) & (all_22_7 = e23 | all_22_7
% 51.12/8.13 | = e22 | all_22_7 = e21 | all_22_7 = e20) & (all_22_8 = e23 |
% 51.12/8.13 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20) & (all_22_9 = e23
% 51.12/8.13 | | all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20) & (all_22_10 =
% 51.12/8.13 | e23 | all_22_10 = e22 | all_22_10 = e21 | all_22_10 = e20) &
% 51.12/8.13 | (all_22_11 = e23 | all_22_11 = e22 | all_22_11 = e21 | all_22_11 =
% 51.12/8.13 | e20) & (all_22_12 = e23 | all_22_12 = e22 | all_22_12 = e21 |
% 51.12/8.13 | all_22_12 = e20) & (all_22_13 = e23 | all_22_13 = e22 | all_22_13 =
% 51.12/8.13 | e21 | all_22_13 = e20) & (all_22_14 = e23 | all_22_14 = e22 |
% 51.12/8.13 | all_22_14 = e21 | all_22_14 = e20) & (all_22_15 = e23 | all_22_15 =
% 51.12/8.13 | e22 | all_22_15 = e21 | all_22_15 = e20)
% 51.12/8.13 |
% 51.12/8.13 | ALPHA: (280) implies:
% 51.12/8.13 | (281) op2(e20, e20) = all_22_0
% 51.12/8.13 | (282) op2(e20, e21) = all_22_1
% 51.12/8.13 | (283) op2(e20, e22) = all_22_2
% 51.12/8.13 | (284) op2(e20, e23) = all_22_3
% 51.12/8.13 | (285) op2(e21, e20) = all_22_4
% 51.12/8.13 | (286) op2(e21, e21) = all_22_5
% 51.12/8.13 | (287) op2(e21, e22) = all_22_6
% 51.12/8.13 | (288) op2(e21, e23) = all_22_7
% 51.12/8.13 | (289) op2(e22, e20) = all_22_8
% 51.12/8.13 | (290) op2(e22, e21) = all_22_9
% 51.12/8.13 | (291) op2(e22, e22) = all_22_10
% 51.12/8.13 | (292) op2(e22, e23) = all_22_11
% 51.12/8.13 | (293) op2(e23, e20) = all_22_12
% 51.12/8.13 | (294) op2(e23, e21) = all_22_13
% 51.12/8.13 | (295) op2(e23, e22) = all_22_14
% 51.12/8.13 | (296) op2(e23, e23) = all_22_15
% 51.12/8.13 | (297) all_22_14 = e23 | all_22_14 = e22 | all_22_14 = e21 | all_22_14 = e20
% 51.12/8.13 | (298) all_22_11 = e23 | all_22_11 = e22 | all_22_11 = e21 | all_22_11 = e20
% 51.12/8.13 | (299) all_22_10 = e23 | all_22_10 = e22 | all_22_10 = e21 | all_22_10 = e20
% 51.12/8.13 | (300) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.12/8.13 | (301) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 51.12/8.13 | (302) all_22_7 = e23 | all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.12/8.13 | (303) all_22_6 = e23 | all_22_6 = e22 | all_22_6 = e21 | all_22_6 = e20
% 51.12/8.13 | (304) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.12/8.13 | (305) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.12/8.13 | (306) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e21 | all_22_2 = e20
% 51.12/8.13 | (307) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e21 | all_22_1 = e20
% 51.12/8.13 | (308) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e21 | all_22_0 = e20
% 51.12/8.13 |
% 51.12/8.13 | DELTA: instantiating (4) with fresh symbols all_24_0, all_24_1, all_24_2,
% 51.12/8.13 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 51.12/8.13 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 51.12/8.13 | (309) op2(e23, e23) = all_24_12 & op2(e23, e22) = all_24_9 & op2(e23, e21)
% 51.12/8.13 | = all_24_10 & op2(e23, e20) = all_24_11 & op2(e22, e23) = all_24_13 &
% 51.12/8.13 | op2(e22, e22) = all_24_6 & op2(e22, e21) = all_24_4 & op2(e22, e20) =
% 51.12/8.13 | all_24_5 & op2(e21, e23) = all_24_14 & op2(e21, e22) = all_24_7 &
% 51.12/8.13 | op2(e21, e21) = all_24_2 & op2(e21, e20) = all_24_1 & op2(e20, e23) =
% 51.12/8.13 | all_24_15 & op2(e20, e22) = all_24_8 & op2(e20, e21) = all_24_3 &
% 51.12/8.13 | op2(e20, e20) = all_24_0 & $i(all_24_0) & $i(all_24_1) & $i(all_24_2)
% 51.12/8.13 | & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) & $i(all_24_6) &
% 51.12/8.13 | $i(all_24_7) & $i(all_24_8) & $i(all_24_9) & $i(all_24_10) &
% 51.12/8.13 | $i(all_24_11) & $i(all_24_12) & $i(all_24_13) & $i(all_24_14) &
% 51.12/8.13 | $i(all_24_15) & (all_24_0 = e23 | all_24_1 = e23 | all_24_5 = e23 |
% 51.12/8.13 | all_24_11 = e23) & (all_24_0 = e23 | all_24_3 = e23 | all_24_8 =
% 51.12/8.13 | e23 | all_24_15 = e23) & (all_24_0 = e22 | all_24_1 = e22 |
% 51.12/8.13 | all_24_5 = e22 | all_24_11 = e22) & (all_24_0 = e22 | all_24_3 =
% 51.12/8.13 | e22 | all_24_8 = e22 | all_24_15 = e22) & (all_24_0 = e21 |
% 51.12/8.13 | all_24_1 = e21 | all_24_5 = e21 | all_24_11 = e21) & (all_24_0 =
% 51.12/8.13 | e21 | all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21) &
% 51.12/8.13 | (all_24_0 = e20 | all_24_1 = e20 | all_24_5 = e20 | all_24_11 = e20)
% 51.12/8.13 | & (all_24_0 = e20 | all_24_3 = e20 | all_24_8 = e20 | all_24_15 =
% 51.12/8.13 | e20) & (all_24_1 = e23 | all_24_2 = e23 | all_24_7 = e23 |
% 51.12/8.13 | all_24_14 = e23) & (all_24_1 = e22 | all_24_2 = e22 | all_24_7 =
% 51.12/8.13 | e22 | all_24_14 = e22) & (all_24_1 = e21 | all_24_2 = e21 |
% 51.12/8.13 | all_24_7 = e21 | all_24_14 = e21) & (all_24_1 = e20 | all_24_2 =
% 51.12/8.13 | e20 | all_24_7 = e20 | all_24_14 = e20) & (all_24_2 = e23 |
% 51.12/8.13 | all_24_3 = e23 | all_24_4 = e23 | all_24_10 = e23) & (all_24_2 =
% 51.12/8.13 | e22 | all_24_3 = e22 | all_24_4 = e22 | all_24_10 = e22) &
% 51.12/8.13 | (all_24_2 = e21 | all_24_3 = e21 | all_24_4 = e21 | all_24_10 = e21)
% 51.12/8.13 | & (all_24_2 = e20 | all_24_3 = e20 | all_24_4 = e20 | all_24_10 =
% 51.12/8.13 | e20) & (all_24_4 = e23 | all_24_5 = e23 | all_24_6 = e23 |
% 51.12/8.13 | all_24_13 = e23) & (all_24_4 = e22 | all_24_5 = e22 | all_24_6 =
% 51.12/8.13 | e22 | all_24_13 = e22) & (all_24_4 = e21 | all_24_5 = e21 |
% 51.12/8.13 | all_24_6 = e21 | all_24_13 = e21) & (all_24_4 = e20 | all_24_5 =
% 51.12/8.13 | e20 | all_24_6 = e20 | all_24_13 = e20) & (all_24_6 = e23 |
% 51.12/8.13 | all_24_7 = e23 | all_24_8 = e23 | all_24_9 = e23) & (all_24_6 = e22
% 51.12/8.13 | | all_24_7 = e22 | all_24_8 = e22 | all_24_9 = e22) & (all_24_6 =
% 51.12/8.13 | e21 | all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21) & (all_24_6
% 51.12/8.13 | = e20 | all_24_7 = e20 | all_24_8 = e20 | all_24_9 = e20) &
% 51.12/8.13 | (all_24_9 = e23 | all_24_10 = e23 | all_24_11 = e23 | all_24_12 =
% 51.12/8.13 | e23) & (all_24_9 = e22 | all_24_10 = e22 | all_24_11 = e22 |
% 51.12/8.13 | all_24_12 = e22) & (all_24_9 = e21 | all_24_10 = e21 | all_24_11 =
% 51.12/8.13 | e21 | all_24_12 = e21) & (all_24_9 = e20 | all_24_10 = e20 |
% 51.12/8.13 | all_24_11 = e20 | all_24_12 = e20) & (all_24_12 = e23 | all_24_13 =
% 51.12/8.13 | e23 | all_24_14 = e23 | all_24_15 = e23) & (all_24_12 = e22 |
% 51.12/8.13 | all_24_13 = e22 | all_24_14 = e22 | all_24_15 = e22) & (all_24_12 =
% 51.12/8.13 | e21 | all_24_13 = e21 | all_24_14 = e21 | all_24_15 = e21) &
% 51.12/8.13 | (all_24_12 = e20 | all_24_13 = e20 | all_24_14 = e20 | all_24_15 =
% 51.12/8.13 | e20)
% 51.12/8.13 |
% 51.12/8.13 | ALPHA: (309) implies:
% 51.12/8.13 | (310) op2(e20, e20) = all_24_0
% 51.12/8.13 | (311) op2(e20, e21) = all_24_3
% 51.12/8.13 | (312) op2(e20, e22) = all_24_8
% 51.12/8.13 | (313) op2(e20, e23) = all_24_15
% 51.12/8.13 | (314) op2(e21, e20) = all_24_1
% 51.12/8.13 | (315) op2(e21, e21) = all_24_2
% 51.12/8.13 | (316) op2(e21, e22) = all_24_7
% 51.12/8.13 | (317) op2(e21, e23) = all_24_14
% 51.12/8.13 | (318) op2(e22, e20) = all_24_5
% 51.12/8.13 | (319) op2(e22, e21) = all_24_4
% 51.12/8.13 | (320) op2(e22, e22) = all_24_6
% 51.12/8.13 | (321) op2(e22, e23) = all_24_13
% 51.12/8.13 | (322) op2(e23, e20) = all_24_11
% 51.12/8.13 | (323) op2(e23, e21) = all_24_10
% 51.12/8.13 | (324) op2(e23, e22) = all_24_9
% 51.12/8.13 | (325) op2(e23, e23) = all_24_12
% 51.12/8.13 | (326) all_24_12 = e20 | all_24_13 = e20 | all_24_14 = e20 | all_24_15 = e20
% 51.12/8.13 | (327) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.12/8.13 | (328) all_24_9 = e22 | all_24_10 = e22 | all_24_11 = e22 | all_24_12 = e22
% 51.12/8.13 | (329) all_24_9 = e23 | all_24_10 = e23 | all_24_11 = e23 | all_24_12 = e23
% 51.12/8.13 | (330) all_24_6 = e20 | all_24_7 = e20 | all_24_8 = e20 | all_24_9 = e20
% 51.12/8.13 | (331) all_24_6 = e21 | all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21
% 51.12/8.13 | (332) all_24_4 = e20 | all_24_5 = e20 | all_24_6 = e20 | all_24_13 = e20
% 51.12/8.13 | (333) all_24_4 = e21 | all_24_5 = e21 | all_24_6 = e21 | all_24_13 = e21
% 51.12/8.13 | (334) all_24_4 = e22 | all_24_5 = e22 | all_24_6 = e22 | all_24_13 = e22
% 51.12/8.13 | (335) all_24_4 = e23 | all_24_5 = e23 | all_24_6 = e23 | all_24_13 = e23
% 51.12/8.13 | (336) all_24_2 = e21 | all_24_3 = e21 | all_24_4 = e21 | all_24_10 = e21
% 51.12/8.13 | (337) all_24_2 = e22 | all_24_3 = e22 | all_24_4 = e22 | all_24_10 = e22
% 51.12/8.13 | (338) all_24_2 = e23 | all_24_3 = e23 | all_24_4 = e23 | all_24_10 = e23
% 51.12/8.13 | (339) all_24_1 = e20 | all_24_2 = e20 | all_24_7 = e20 | all_24_14 = e20
% 51.12/8.13 | (340) all_24_1 = e21 | all_24_2 = e21 | all_24_7 = e21 | all_24_14 = e21
% 51.12/8.13 | (341) all_24_1 = e22 | all_24_2 = e22 | all_24_7 = e22 | all_24_14 = e22
% 51.12/8.13 | (342) all_24_1 = e23 | all_24_2 = e23 | all_24_7 = e23 | all_24_14 = e23
% 51.12/8.13 | (343) all_24_0 = e20 | all_24_3 = e20 | all_24_8 = e20 | all_24_15 = e20
% 51.12/8.13 | (344) all_24_0 = e20 | all_24_1 = e20 | all_24_5 = e20 | all_24_11 = e20
% 51.12/8.13 | (345) all_24_0 = e21 | all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21
% 51.12/8.13 | (346) all_24_0 = e23 | all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.12/8.13 | (347) all_24_0 = e23 | all_24_1 = e23 | all_24_5 = e23 | all_24_11 = e23
% 51.12/8.13 |
% 51.12/8.13 | DELTA: instantiating (2) with fresh symbols all_26_0, all_26_1, all_26_2,
% 51.12/8.13 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 51.12/8.13 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 51.12/8.14 | (348) op1(e13, e13) = all_26_12 & op1(e13, e12) = all_26_9 & op1(e13, e11)
% 51.12/8.14 | = all_26_10 & op1(e13, e10) = all_26_11 & op1(e12, e13) = all_26_13 &
% 51.12/8.14 | op1(e12, e12) = all_26_6 & op1(e12, e11) = all_26_4 & op1(e12, e10) =
% 51.12/8.14 | all_26_5 & op1(e11, e13) = all_26_14 & op1(e11, e12) = all_26_7 &
% 51.12/8.14 | op1(e11, e11) = all_26_2 & op1(e11, e10) = all_26_1 & op1(e10, e13) =
% 51.12/8.14 | all_26_15 & op1(e10, e12) = all_26_8 & op1(e10, e11) = all_26_3 &
% 51.12/8.14 | op1(e10, e10) = all_26_0 & $i(all_26_0) & $i(all_26_1) & $i(all_26_2)
% 51.12/8.14 | & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) & $i(all_26_6) &
% 51.12/8.14 | $i(all_26_7) & $i(all_26_8) & $i(all_26_9) & $i(all_26_10) &
% 51.12/8.14 | $i(all_26_11) & $i(all_26_12) & $i(all_26_13) & $i(all_26_14) &
% 51.12/8.14 | $i(all_26_15) & (all_26_0 = e13 | all_26_1 = e13 | all_26_5 = e13 |
% 51.12/8.14 | all_26_11 = e13) & (all_26_0 = e13 | all_26_3 = e13 | all_26_8 =
% 51.12/8.14 | e13 | all_26_15 = e13) & (all_26_0 = e12 | all_26_1 = e12 |
% 51.12/8.14 | all_26_5 = e12 | all_26_11 = e12) & (all_26_0 = e12 | all_26_3 =
% 51.12/8.14 | e12 | all_26_8 = e12 | all_26_15 = e12) & (all_26_0 = e11 |
% 51.12/8.14 | all_26_1 = e11 | all_26_5 = e11 | all_26_11 = e11) & (all_26_0 =
% 51.12/8.14 | e11 | all_26_3 = e11 | all_26_8 = e11 | all_26_15 = e11) &
% 51.12/8.14 | (all_26_0 = e10 | all_26_1 = e10 | all_26_5 = e10 | all_26_11 = e10)
% 51.12/8.14 | & (all_26_0 = e10 | all_26_3 = e10 | all_26_8 = e10 | all_26_15 =
% 51.12/8.14 | e10) & (all_26_1 = e13 | all_26_2 = e13 | all_26_7 = e13 |
% 51.12/8.14 | all_26_14 = e13) & (all_26_1 = e12 | all_26_2 = e12 | all_26_7 =
% 51.12/8.14 | e12 | all_26_14 = e12) & (all_26_1 = e11 | all_26_2 = e11 |
% 51.12/8.14 | all_26_7 = e11 | all_26_14 = e11) & (all_26_1 = e10 | all_26_2 =
% 51.12/8.14 | e10 | all_26_7 = e10 | all_26_14 = e10) & (all_26_2 = e13 |
% 51.12/8.14 | all_26_3 = e13 | all_26_4 = e13 | all_26_10 = e13) & (all_26_2 =
% 51.12/8.14 | e12 | all_26_3 = e12 | all_26_4 = e12 | all_26_10 = e12) &
% 51.12/8.14 | (all_26_2 = e11 | all_26_3 = e11 | all_26_4 = e11 | all_26_10 = e11)
% 51.12/8.14 | & (all_26_2 = e10 | all_26_3 = e10 | all_26_4 = e10 | all_26_10 =
% 51.12/8.14 | e10) & (all_26_4 = e13 | all_26_5 = e13 | all_26_6 = e13 |
% 51.12/8.14 | all_26_13 = e13) & (all_26_4 = e12 | all_26_5 = e12 | all_26_6 =
% 51.12/8.14 | e12 | all_26_13 = e12) & (all_26_4 = e11 | all_26_5 = e11 |
% 51.12/8.14 | all_26_6 = e11 | all_26_13 = e11) & (all_26_4 = e10 | all_26_5 =
% 51.12/8.14 | e10 | all_26_6 = e10 | all_26_13 = e10) & (all_26_6 = e13 |
% 51.12/8.14 | all_26_7 = e13 | all_26_8 = e13 | all_26_9 = e13) & (all_26_6 = e12
% 51.12/8.14 | | all_26_7 = e12 | all_26_8 = e12 | all_26_9 = e12) & (all_26_6 =
% 51.12/8.14 | e11 | all_26_7 = e11 | all_26_8 = e11 | all_26_9 = e11) & (all_26_6
% 51.12/8.14 | = e10 | all_26_7 = e10 | all_26_8 = e10 | all_26_9 = e10) &
% 51.12/8.14 | (all_26_9 = e13 | all_26_10 = e13 | all_26_11 = e13 | all_26_12 =
% 51.12/8.14 | e13) & (all_26_9 = e12 | all_26_10 = e12 | all_26_11 = e12 |
% 51.12/8.14 | all_26_12 = e12) & (all_26_9 = e11 | all_26_10 = e11 | all_26_11 =
% 51.12/8.14 | e11 | all_26_12 = e11) & (all_26_9 = e10 | all_26_10 = e10 |
% 51.12/8.14 | all_26_11 = e10 | all_26_12 = e10) & (all_26_12 = e13 | all_26_13 =
% 51.12/8.14 | e13 | all_26_14 = e13 | all_26_15 = e13) & (all_26_12 = e12 |
% 51.12/8.14 | all_26_13 = e12 | all_26_14 = e12 | all_26_15 = e12) & (all_26_12 =
% 51.12/8.14 | e11 | all_26_13 = e11 | all_26_14 = e11 | all_26_15 = e11) &
% 51.12/8.14 | (all_26_12 = e10 | all_26_13 = e10 | all_26_14 = e10 | all_26_15 =
% 51.12/8.14 | e10)
% 51.12/8.14 |
% 51.12/8.14 | ALPHA: (348) implies:
% 51.12/8.14 | (349) op1(e10, e10) = all_26_0
% 51.12/8.14 | (350) op1(e10, e11) = all_26_3
% 51.12/8.14 | (351) op1(e10, e12) = all_26_8
% 51.12/8.14 | (352) op1(e10, e13) = all_26_15
% 51.12/8.14 | (353) op1(e11, e10) = all_26_1
% 51.12/8.14 | (354) op1(e11, e11) = all_26_2
% 51.12/8.14 | (355) op1(e11, e12) = all_26_7
% 51.12/8.14 | (356) op1(e11, e13) = all_26_14
% 51.12/8.14 | (357) op1(e12, e10) = all_26_5
% 51.12/8.14 | (358) op1(e12, e11) = all_26_4
% 51.12/8.14 | (359) op1(e12, e12) = all_26_6
% 51.12/8.14 | (360) op1(e12, e13) = all_26_13
% 51.12/8.14 | (361) op1(e13, e10) = all_26_11
% 51.12/8.14 | (362) op1(e13, e11) = all_26_10
% 51.12/8.14 | (363) op1(e13, e12) = all_26_9
% 51.12/8.14 | (364) op1(e13, e13) = all_26_12
% 51.12/8.14 | (365) all_26_6 = e10 | all_26_7 = e10 | all_26_8 = e10 | all_26_9 = e10
% 51.12/8.14 | (366) all_26_4 = e11 | all_26_5 = e11 | all_26_6 = e11 | all_26_13 = e11
% 51.12/8.14 | (367) all_26_4 = e12 | all_26_5 = e12 | all_26_6 = e12 | all_26_13 = e12
% 51.12/8.14 | (368) all_26_2 = e11 | all_26_3 = e11 | all_26_4 = e11 | all_26_10 = e11
% 51.12/8.14 | (369) all_26_2 = e12 | all_26_3 = e12 | all_26_4 = e12 | all_26_10 = e12
% 51.12/8.14 | (370) all_26_2 = e13 | all_26_3 = e13 | all_26_4 = e13 | all_26_10 = e13
% 51.12/8.14 | (371) all_26_1 = e10 | all_26_2 = e10 | all_26_7 = e10 | all_26_14 = e10
% 51.12/8.14 | (372) all_26_1 = e11 | all_26_2 = e11 | all_26_7 = e11 | all_26_14 = e11
% 51.12/8.14 | (373) all_26_1 = e12 | all_26_2 = e12 | all_26_7 = e12 | all_26_14 = e12
% 51.12/8.14 | (374) all_26_0 = e10 | all_26_3 = e10 | all_26_8 = e10 | all_26_15 = e10
% 51.12/8.14 | (375) all_26_0 = e10 | all_26_1 = e10 | all_26_5 = e10 | all_26_11 = e10
% 51.12/8.14 | (376) all_26_0 = e11 | all_26_3 = e11 | all_26_8 = e11 | all_26_15 = e11
% 51.12/8.14 | (377) all_26_0 = e11 | all_26_1 = e11 | all_26_5 = e11 | all_26_11 = e11
% 51.12/8.14 |
% 51.12/8.14 | DELTA: instantiating (23) with fresh symbols all_28_0, all_28_1, all_28_2,
% 51.12/8.14 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 51.12/8.14 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 51.12/8.14 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 51.12/8.14 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 51.12/8.14 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 51.12/8.14 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 51.12/8.14 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 51.12/8.14 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 51.12/8.14 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 51.12/8.14 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 51.12/8.14 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 51.12/8.14 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 51.12/8.14 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 51.12/8.14 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 51.12/8.14 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 51.12/8.14 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 51.12/8.14 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 51.12/8.14 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 51.12/8.14 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 51.12/8.14 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 51.12/8.14 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 51.12/8.14 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 51.12/8.14 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 51.12/8.14 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 51.12/8.14 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 51.12/8.14 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 51.12/8.14 | gives:
% 51.12/8.14 | (378) h4(all_28_110) = all_28_109 & h4(all_28_113) = all_28_112 &
% 51.12/8.14 | h4(all_28_116) = all_28_115 & h4(all_28_119) = all_28_118 &
% 51.12/8.14 | h4(all_28_122) = all_28_121 & h4(all_28_125) = all_28_124 &
% 51.12/8.14 | h4(all_28_128) = all_28_127 & h4(all_28_131) = all_28_130 &
% 51.12/8.14 | h4(all_28_134) = all_28_133 & h4(all_28_137) = all_28_136 &
% 51.12/8.14 | h4(all_28_140) = all_28_139 & h4(all_28_143) = all_28_142 &
% 51.12/8.14 | h4(all_28_147) = all_28_146 & h4(all_28_151) = all_28_150 &
% 51.12/8.14 | h4(all_28_155) = all_28_154 & h4(all_28_159) = all_28_158 & h4(e13) =
% 51.12/8.14 | all_28_145 & h4(e12) = all_28_149 & h4(e11) = all_28_153 & h4(e10) =
% 51.12/8.14 | all_28_157 & h3(all_28_110) = all_28_73 & h3(all_28_113) = all_28_75
% 51.12/8.14 | & h3(all_28_116) = all_28_77 & h3(all_28_119) = all_28_79 &
% 51.12/8.14 | h3(all_28_122) = all_28_81 & h3(all_28_125) = all_28_83 &
% 51.12/8.14 | h3(all_28_128) = all_28_85 & h3(all_28_131) = all_28_87 &
% 51.12/8.14 | h3(all_28_134) = all_28_89 & h3(all_28_137) = all_28_91 &
% 51.12/8.14 | h3(all_28_140) = all_28_93 & h3(all_28_143) = all_28_95 &
% 51.12/8.14 | h3(all_28_147) = all_28_98 & h3(all_28_151) = all_28_101 &
% 51.12/8.14 | h3(all_28_155) = all_28_104 & h3(all_28_159) = all_28_107 & h3(e13) =
% 51.12/8.14 | all_28_97 & h3(e12) = all_28_100 & h3(e11) = all_28_103 & h3(e10) =
% 51.12/8.14 | all_28_106 & h2(all_28_110) = all_28_37 & h2(all_28_113) = all_28_39
% 51.12/8.14 | & h2(all_28_116) = all_28_41 & h2(all_28_119) = all_28_43 &
% 51.12/8.14 | h2(all_28_122) = all_28_45 & h2(all_28_125) = all_28_47 &
% 51.12/8.14 | h2(all_28_128) = all_28_49 & h2(all_28_131) = all_28_51 &
% 51.12/8.14 | h2(all_28_134) = all_28_53 & h2(all_28_137) = all_28_55 &
% 51.12/8.14 | h2(all_28_140) = all_28_57 & h2(all_28_143) = all_28_59 &
% 51.12/8.14 | h2(all_28_147) = all_28_62 & h2(all_28_151) = all_28_65 &
% 51.12/8.14 | h2(all_28_155) = all_28_68 & h2(all_28_159) = all_28_71 & h2(e13) =
% 51.12/8.14 | all_28_61 & h2(e12) = all_28_64 & h2(e11) = all_28_67 & h2(e10) =
% 51.12/8.14 | all_28_70 & h1(all_28_110) = all_28_1 & h1(all_28_113) = all_28_3 &
% 51.12/8.14 | h1(all_28_116) = all_28_5 & h1(all_28_119) = all_28_7 &
% 51.12/8.14 | h1(all_28_122) = all_28_9 & h1(all_28_125) = all_28_11 &
% 51.12/8.14 | h1(all_28_128) = all_28_13 & h1(all_28_131) = all_28_15 &
% 51.12/8.14 | h1(all_28_134) = all_28_17 & h1(all_28_137) = all_28_19 &
% 51.12/8.14 | h1(all_28_140) = all_28_21 & h1(all_28_143) = all_28_23 &
% 51.12/8.14 | h1(all_28_147) = all_28_26 & h1(all_28_151) = all_28_29 &
% 51.12/8.14 | h1(all_28_155) = all_28_32 & h1(all_28_159) = all_28_35 & h1(e13) =
% 51.12/8.14 | all_28_25 & h1(e12) = all_28_28 & h1(e11) = all_28_31 & h1(e10) =
% 51.12/8.14 | all_28_34 & op2(all_28_25, all_28_25) = all_28_0 & op2(all_28_25,
% 51.12/8.14 | all_28_28) = all_28_2 & op2(all_28_25, all_28_31) = all_28_4 &
% 51.12/8.14 | op2(all_28_25, all_28_34) = all_28_6 & op2(all_28_28, all_28_25) =
% 51.12/8.14 | all_28_8 & op2(all_28_28, all_28_28) = all_28_10 & op2(all_28_28,
% 51.12/8.14 | all_28_31) = all_28_12 & op2(all_28_28, all_28_34) = all_28_14 &
% 51.12/8.14 | op2(all_28_31, all_28_25) = all_28_16 & op2(all_28_31, all_28_28) =
% 51.12/8.14 | all_28_18 & op2(all_28_31, all_28_31) = all_28_20 & op2(all_28_31,
% 51.12/8.14 | all_28_34) = all_28_22 & op2(all_28_34, all_28_25) = all_28_24 &
% 51.12/8.14 | op2(all_28_34, all_28_28) = all_28_27 & op2(all_28_34, all_28_31) =
% 51.12/8.14 | all_28_30 & op2(all_28_34, all_28_34) = all_28_33 & op2(all_28_61,
% 51.12/8.14 | all_28_61) = all_28_36 & op2(all_28_61, all_28_64) = all_28_38 &
% 51.12/8.14 | op2(all_28_61, all_28_67) = all_28_40 & op2(all_28_61, all_28_70) =
% 51.12/8.14 | all_28_42 & op2(all_28_64, all_28_61) = all_28_44 & op2(all_28_64,
% 51.12/8.14 | all_28_64) = all_28_46 & op2(all_28_64, all_28_67) = all_28_48 &
% 51.12/8.14 | op2(all_28_64, all_28_70) = all_28_50 & op2(all_28_67, all_28_61) =
% 51.12/8.14 | all_28_52 & op2(all_28_67, all_28_64) = all_28_54 & op2(all_28_67,
% 51.12/8.14 | all_28_67) = all_28_56 & op2(all_28_67, all_28_70) = all_28_58 &
% 51.12/8.14 | op2(all_28_70, all_28_61) = all_28_60 & op2(all_28_70, all_28_64) =
% 51.12/8.14 | all_28_63 & op2(all_28_70, all_28_67) = all_28_66 & op2(all_28_70,
% 51.12/8.14 | all_28_70) = all_28_69 & op2(all_28_97, all_28_97) = all_28_72 &
% 51.12/8.14 | op2(all_28_97, all_28_100) = all_28_74 & op2(all_28_97, all_28_103) =
% 51.12/8.14 | all_28_76 & op2(all_28_97, all_28_106) = all_28_78 & op2(all_28_100,
% 51.12/8.14 | all_28_97) = all_28_80 & op2(all_28_100, all_28_100) = all_28_82 &
% 51.12/8.14 | op2(all_28_100, all_28_103) = all_28_84 & op2(all_28_100, all_28_106)
% 51.12/8.14 | = all_28_86 & op2(all_28_103, all_28_97) = all_28_88 &
% 51.12/8.14 | op2(all_28_103, all_28_100) = all_28_90 & op2(all_28_103, all_28_103)
% 51.12/8.14 | = all_28_92 & op2(all_28_103, all_28_106) = all_28_94 &
% 51.12/8.14 | op2(all_28_106, all_28_97) = all_28_96 & op2(all_28_106, all_28_100)
% 51.12/8.14 | = all_28_99 & op2(all_28_106, all_28_103) = all_28_102 &
% 51.12/8.14 | op2(all_28_106, all_28_106) = all_28_105 & op2(all_28_145,
% 51.12/8.14 | all_28_145) = all_28_108 & op2(all_28_145, all_28_149) = all_28_111
% 51.12/8.14 | & op2(all_28_145, all_28_153) = all_28_114 & op2(all_28_145,
% 51.12/8.14 | all_28_157) = all_28_117 & op2(all_28_149, all_28_145) = all_28_120
% 51.12/8.14 | & op2(all_28_149, all_28_149) = all_28_123 & op2(all_28_149,
% 51.12/8.14 | all_28_153) = all_28_126 & op2(all_28_149, all_28_157) = all_28_129
% 51.12/8.14 | & op2(all_28_153, all_28_145) = all_28_132 & op2(all_28_153,
% 51.12/8.14 | all_28_149) = all_28_135 & op2(all_28_153, all_28_153) = all_28_138
% 51.12/8.14 | & op2(all_28_153, all_28_157) = all_28_141 & op2(all_28_157,
% 51.12/8.14 | all_28_145) = all_28_144 & op2(all_28_157, all_28_149) = all_28_148
% 51.12/8.14 | & op2(all_28_157, all_28_153) = all_28_152 & op2(all_28_157,
% 51.12/8.14 | all_28_157) = all_28_156 & op1(e13, e13) = all_28_110 & op1(e13,
% 51.12/8.14 | e12) = all_28_113 & op1(e13, e11) = all_28_116 & op1(e13, e10) =
% 51.12/8.14 | all_28_119 & op1(e12, e13) = all_28_122 & op1(e12, e12) = all_28_125
% 51.12/8.14 | & op1(e12, e11) = all_28_128 & op1(e12, e10) = all_28_131 & op1(e11,
% 51.12/8.14 | e13) = all_28_134 & op1(e11, e12) = all_28_137 & op1(e11, e11) =
% 51.12/8.14 | all_28_140 & op1(e11, e10) = all_28_143 & op1(e10, e13) = all_28_147
% 51.12/8.14 | & op1(e10, e12) = all_28_151 & op1(e10, e11) = all_28_155 & op1(e10,
% 51.12/8.14 | e10) = all_28_159 & $i(all_28_0) & $i(all_28_1) & $i(all_28_2) &
% 51.12/8.14 | $i(all_28_3) & $i(all_28_4) & $i(all_28_5) & $i(all_28_6) &
% 51.12/8.14 | $i(all_28_7) & $i(all_28_8) & $i(all_28_9) & $i(all_28_10) &
% 51.12/8.14 | $i(all_28_11) & $i(all_28_12) & $i(all_28_13) & $i(all_28_14) &
% 51.12/8.14 | $i(all_28_15) & $i(all_28_16) & $i(all_28_17) & $i(all_28_18) &
% 51.12/8.14 | $i(all_28_19) & $i(all_28_20) & $i(all_28_21) & $i(all_28_22) &
% 51.12/8.14 | $i(all_28_23) & $i(all_28_24) & $i(all_28_25) & $i(all_28_26) &
% 51.12/8.14 | $i(all_28_27) & $i(all_28_28) & $i(all_28_29) & $i(all_28_30) &
% 51.12/8.14 | $i(all_28_31) & $i(all_28_32) & $i(all_28_33) & $i(all_28_34) &
% 51.12/8.14 | $i(all_28_35) & $i(all_28_36) & $i(all_28_37) & $i(all_28_38) &
% 51.12/8.14 | $i(all_28_39) & $i(all_28_40) & $i(all_28_41) & $i(all_28_42) &
% 51.12/8.14 | $i(all_28_43) & $i(all_28_44) & $i(all_28_45) & $i(all_28_46) &
% 51.12/8.14 | $i(all_28_47) & $i(all_28_48) & $i(all_28_49) & $i(all_28_50) &
% 51.12/8.14 | $i(all_28_51) & $i(all_28_52) & $i(all_28_53) & $i(all_28_54) &
% 51.12/8.14 | $i(all_28_55) & $i(all_28_56) & $i(all_28_57) & $i(all_28_58) &
% 51.12/8.14 | $i(all_28_59) & $i(all_28_60) & $i(all_28_61) & $i(all_28_62) &
% 51.12/8.14 | $i(all_28_63) & $i(all_28_64) & $i(all_28_65) & $i(all_28_66) &
% 51.12/8.14 | $i(all_28_67) & $i(all_28_68) & $i(all_28_69) & $i(all_28_70) &
% 51.12/8.14 | $i(all_28_71) & $i(all_28_72) & $i(all_28_73) & $i(all_28_74) &
% 51.12/8.14 | $i(all_28_75) & $i(all_28_76) & $i(all_28_77) & $i(all_28_78) &
% 51.12/8.14 | $i(all_28_79) & $i(all_28_80) & $i(all_28_81) & $i(all_28_82) &
% 51.12/8.14 | $i(all_28_83) & $i(all_28_84) & $i(all_28_85) & $i(all_28_86) &
% 51.12/8.14 | $i(all_28_87) & $i(all_28_88) & $i(all_28_89) & $i(all_28_90) &
% 51.12/8.14 | $i(all_28_91) & $i(all_28_92) & $i(all_28_93) & $i(all_28_94) &
% 51.12/8.14 | $i(all_28_95) & $i(all_28_96) & $i(all_28_97) & $i(all_28_98) &
% 51.12/8.14 | $i(all_28_99) & $i(all_28_100) & $i(all_28_101) & $i(all_28_102) &
% 51.12/8.14 | $i(all_28_103) & $i(all_28_104) & $i(all_28_105) & $i(all_28_106) &
% 51.12/8.14 | $i(all_28_107) & $i(all_28_108) & $i(all_28_109) & $i(all_28_110) &
% 51.12/8.14 | $i(all_28_111) & $i(all_28_112) & $i(all_28_113) & $i(all_28_114) &
% 51.12/8.14 | $i(all_28_115) & $i(all_28_116) & $i(all_28_117) & $i(all_28_118) &
% 51.12/8.14 | $i(all_28_119) & $i(all_28_120) & $i(all_28_121) & $i(all_28_122) &
% 51.12/8.14 | $i(all_28_123) & $i(all_28_124) & $i(all_28_125) & $i(all_28_126) &
% 51.12/8.14 | $i(all_28_127) & $i(all_28_128) & $i(all_28_129) & $i(all_28_130) &
% 51.12/8.14 | $i(all_28_131) & $i(all_28_132) & $i(all_28_133) & $i(all_28_134) &
% 51.12/8.14 | $i(all_28_135) & $i(all_28_136) & $i(all_28_137) & $i(all_28_138) &
% 51.12/8.14 | $i(all_28_139) & $i(all_28_140) & $i(all_28_141) & $i(all_28_142) &
% 51.12/8.14 | $i(all_28_143) & $i(all_28_144) & $i(all_28_145) & $i(all_28_146) &
% 51.12/8.14 | $i(all_28_147) & $i(all_28_148) & $i(all_28_149) & $i(all_28_150) &
% 51.12/8.14 | $i(all_28_151) & $i(all_28_152) & $i(all_28_153) & $i(all_28_154) &
% 51.12/8.14 | $i(all_28_155) & $i(all_28_156) & $i(all_28_157) & $i(all_28_158) &
% 51.12/8.14 | $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3)
% 51.12/8.14 | | ~ (all_28_4 = all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 51.12/8.14 | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) | ~ (all_28_12
% 51.12/8.14 | = all_28_13) | ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 51.12/8.14 | all_28_17) | ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 51.12/8.14 | all_28_21) | ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 51.12/8.14 | all_28_26) | ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 51.12/8.14 | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 51.12/8.14 | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ (all_28_34 =
% 51.12/8.14 | e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 51.12/8.14 | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ (all_28_25 = e21)
% 51.12/8.14 | & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ (all_28_34 =
% 51.12/8.14 | e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 51.12/8.14 | (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~ (all_28_36 =
% 51.12/8.14 | all_28_37) | ~ (all_28_38 = all_28_39) | ~ (all_28_40 =
% 51.12/8.14 | all_28_41) | ~ (all_28_42 = all_28_43) | ~ (all_28_44 =
% 51.12/8.14 | all_28_45) | ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 51.12/8.14 | all_28_49) | ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 51.12/8.14 | all_28_53) | ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 51.12/8.14 | all_28_57) | ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 51.12/8.14 | all_28_62) | ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 51.12/8.14 | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 51.12/8.14 | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~ (all_28_70 =
% 51.12/8.14 | e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 51.12/8.14 | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ (all_28_61 = e21)
% 51.12/8.14 | & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) & ~ (all_28_70 =
% 51.12/8.14 | e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 51.12/8.14 | (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~ (all_28_72 =
% 51.12/8.14 | all_28_73) | ~ (all_28_74 = all_28_75) | ~ (all_28_76 =
% 51.12/8.14 | all_28_77) | ~ (all_28_78 = all_28_79) | ~ (all_28_80 =
% 51.12/8.14 | all_28_81) | ~ (all_28_82 = all_28_83) | ~ (all_28_84 =
% 51.12/8.14 | all_28_85) | ~ (all_28_86 = all_28_87) | ~ (all_28_88 =
% 51.12/8.14 | all_28_89) | ~ (all_28_90 = all_28_91) | ~ (all_28_92 =
% 51.12/8.14 | all_28_93) | ~ (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.12/8.14 | all_28_98) | ~ (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.12/8.14 | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 =
% 51.12/8.14 | e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.12/8.14 | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 =
% 51.12/8.14 | e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 51.12/8.14 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 51.12/8.14 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 51.12/8.14 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 51.12/8.14 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 51.12/8.14 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 51.12/8.14 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 51.12/8.14 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 51.12/8.14 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 51.12/8.14 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 51.12/8.14 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 51.12/8.14 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 51.12/8.14 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 51.12/8.14 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 51.12/8.14 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 51.12/8.14 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 51.12/8.14 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 51.12/8.14 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 51.12/8.14 | (all_28_157 = e20)))
% 51.12/8.14 |
% 51.12/8.14 | ALPHA: (378) implies:
% 51.12/8.15 | (379) op1(e10, e10) = all_28_159
% 51.12/8.15 | (380) op1(e10, e11) = all_28_155
% 51.12/8.15 | (381) op1(e10, e12) = all_28_151
% 51.12/8.15 | (382) op1(e10, e13) = all_28_147
% 51.12/8.15 | (383) op1(e11, e10) = all_28_143
% 51.12/8.15 | (384) op1(e11, e11) = all_28_140
% 51.12/8.15 | (385) op1(e11, e12) = all_28_137
% 51.12/8.15 | (386) op1(e11, e13) = all_28_134
% 51.12/8.15 | (387) op1(e12, e10) = all_28_131
% 51.12/8.15 | (388) op1(e12, e11) = all_28_128
% 51.12/8.15 | (389) op1(e12, e12) = all_28_125
% 51.12/8.15 | (390) op1(e12, e13) = all_28_122
% 51.12/8.15 | (391) op1(e13, e10) = all_28_119
% 51.12/8.15 | (392) op1(e13, e11) = all_28_116
% 51.12/8.15 | (393) op1(e13, e12) = all_28_113
% 51.12/8.15 | (394) op1(e13, e13) = all_28_110
% 51.12/8.15 | (395) op2(all_28_157, all_28_157) = all_28_156
% 51.12/8.15 | (396) op2(all_28_157, all_28_153) = all_28_152
% 51.12/8.15 | (397) op2(all_28_157, all_28_149) = all_28_148
% 51.12/8.15 | (398) op2(all_28_153, all_28_157) = all_28_141
% 51.12/8.15 | (399) op2(all_28_153, all_28_153) = all_28_138
% 51.12/8.15 | (400) op2(all_28_153, all_28_149) = all_28_135
% 51.12/8.15 | (401) op2(all_28_153, all_28_145) = all_28_132
% 51.12/8.15 | (402) op2(all_28_149, all_28_157) = all_28_129
% 51.12/8.15 | (403) op2(all_28_149, all_28_153) = all_28_126
% 51.12/8.15 | (404) op2(all_28_149, all_28_145) = all_28_120
% 51.12/8.15 | (405) op2(all_28_145, all_28_157) = all_28_117
% 51.12/8.15 | (406) op2(all_28_145, all_28_153) = all_28_114
% 51.12/8.15 | (407) op2(all_28_145, all_28_149) = all_28_111
% 51.12/8.15 | (408) op2(all_28_145, all_28_145) = all_28_108
% 51.12/8.15 | (409) op2(all_28_106, all_28_106) = all_28_105
% 51.12/8.15 | (410) op2(all_28_106, all_28_103) = all_28_102
% 51.12/8.15 | (411) op2(all_28_106, all_28_100) = all_28_99
% 51.12/8.15 | (412) op2(all_28_106, all_28_97) = all_28_96
% 51.12/8.15 | (413) op2(all_28_103, all_28_106) = all_28_94
% 51.12/8.15 | (414) op2(all_28_103, all_28_103) = all_28_92
% 51.12/8.15 | (415) op2(all_28_103, all_28_100) = all_28_90
% 51.12/8.15 | (416) op2(all_28_103, all_28_97) = all_28_88
% 51.12/8.15 | (417) op2(all_28_100, all_28_106) = all_28_86
% 51.12/8.15 | (418) op2(all_28_100, all_28_103) = all_28_84
% 51.12/8.15 | (419) op2(all_28_100, all_28_100) = all_28_82
% 51.12/8.15 | (420) op2(all_28_100, all_28_97) = all_28_80
% 51.12/8.15 | (421) op2(all_28_97, all_28_106) = all_28_78
% 51.12/8.15 | (422) op2(all_28_97, all_28_103) = all_28_76
% 51.12/8.15 | (423) op2(all_28_97, all_28_100) = all_28_74
% 51.12/8.15 | (424) op2(all_28_97, all_28_97) = all_28_72
% 51.12/8.15 | (425) op2(all_28_70, all_28_70) = all_28_69
% 51.12/8.15 | (426) op2(all_28_67, all_28_67) = all_28_56
% 51.12/8.15 | (427) op2(all_28_67, all_28_61) = all_28_52
% 51.12/8.15 | (428) op2(all_28_61, all_28_70) = all_28_42
% 51.12/8.15 | (429) op2(all_28_61, all_28_67) = all_28_40
% 51.12/8.15 | (430) op2(all_28_61, all_28_61) = all_28_36
% 51.12/8.15 | (431) op2(all_28_34, all_28_25) = all_28_24
% 51.12/8.15 | (432) op2(all_28_31, all_28_31) = all_28_20
% 51.12/8.15 | (433) op2(all_28_28, all_28_28) = all_28_10
% 51.12/8.15 | (434) op2(all_28_28, all_28_25) = all_28_8
% 51.12/8.15 | (435) op2(all_28_25, all_28_31) = all_28_4
% 51.12/8.15 | (436) op2(all_28_25, all_28_28) = all_28_2
% 51.12/8.15 | (437) op2(all_28_25, all_28_25) = all_28_0
% 51.12/8.15 | (438) h1(e10) = all_28_34
% 51.12/8.15 | (439) h1(e11) = all_28_31
% 51.12/8.15 | (440) h1(e12) = all_28_28
% 51.12/8.15 | (441) h1(e13) = all_28_25
% 51.12/8.15 | (442) h2(e10) = all_28_70
% 51.12/8.15 | (443) h2(e11) = all_28_67
% 51.12/8.15 | (444) h2(e13) = all_28_61
% 51.12/8.15 | (445) h3(e10) = all_28_106
% 51.12/8.15 | (446) h3(e11) = all_28_103
% 51.12/8.15 | (447) h3(e12) = all_28_100
% 51.12/8.15 | (448) h3(e13) = all_28_97
% 51.12/8.15 | (449) h3(all_28_159) = all_28_107
% 51.12/8.15 | (450) h3(all_28_155) = all_28_104
% 51.12/8.15 | (451) h3(all_28_151) = all_28_101
% 51.12/8.15 | (452) h3(all_28_147) = all_28_98
% 51.12/8.15 | (453) h3(all_28_143) = all_28_95
% 51.12/8.15 | (454) h3(all_28_140) = all_28_93
% 51.12/8.15 | (455) h3(all_28_137) = all_28_91
% 51.12/8.15 | (456) h3(all_28_134) = all_28_89
% 51.12/8.15 | (457) h3(all_28_131) = all_28_87
% 51.12/8.15 | (458) h3(all_28_128) = all_28_85
% 51.12/8.15 | (459) h3(all_28_125) = all_28_83
% 51.12/8.15 | (460) h3(all_28_122) = all_28_81
% 51.12/8.15 | (461) h3(all_28_119) = all_28_79
% 51.12/8.15 | (462) h3(all_28_116) = all_28_77
% 51.12/8.15 | (463) h3(all_28_113) = all_28_75
% 51.12/8.15 | (464) h3(all_28_110) = all_28_73
% 51.12/8.15 | (465) h4(e10) = all_28_157
% 51.12/8.15 | (466) h4(e11) = all_28_153
% 51.12/8.15 | (467) h4(e12) = all_28_149
% 51.12/8.15 | (468) h4(e13) = all_28_145
% 51.12/8.15 | (469) ~ (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 51.12/8.15 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ (all_28_80
% 51.12/8.15 | = all_28_81) | ~ (all_28_82 = all_28_83) | ~ (all_28_84 =
% 51.12/8.15 | all_28_85) | ~ (all_28_86 = all_28_87) | ~ (all_28_88 =
% 51.12/8.15 | all_28_89) | ~ (all_28_90 = all_28_91) | ~ (all_28_92 =
% 51.12/8.15 | all_28_93) | ~ (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.12/8.15 | all_28_98) | ~ (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.12/8.15 | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 51.12/8.15 | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ (all_28_106 =
% 51.12/8.15 | e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.12/8.15 | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 51.12/8.15 | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ (all_28_106 =
% 51.12/8.15 | e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.12/8.15 | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_16_31, all_26_0, e10, e10,
% 51.12/8.15 | simplifying with (184), (349) gives:
% 51.12/8.15 | (470) all_26_0 = all_16_31
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_12_0, all_26_0, e10, e10, simplifying
% 51.12/8.15 | with (103), (349) gives:
% 51.12/8.15 | (471) all_26_0 = all_12_0
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_26_0, all_28_159, e10, e10,
% 51.12/8.15 | simplifying with (349), (379) gives:
% 51.12/8.15 | (472) all_28_159 = all_26_0
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_20_0, all_28_159, e10, e10,
% 51.12/8.15 | simplifying with (251), (379) gives:
% 51.12/8.15 | (473) all_28_159 = all_20_0
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_20_1, all_26_3, e11, e10, simplifying
% 51.12/8.15 | with (252), (350) gives:
% 51.12/8.15 | (474) all_26_3 = all_20_1
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_16_29, all_26_3, e11, e10,
% 51.12/8.15 | simplifying with (185), (350) gives:
% 51.12/8.15 | (475) all_26_3 = all_16_29
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_26_3, all_28_155, e11, e10,
% 51.12/8.15 | simplifying with (350), (380) gives:
% 51.12/8.15 | (476) all_28_155 = all_26_3
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_12_1, all_28_155, e11, e10,
% 51.12/8.15 | simplifying with (104), (380) gives:
% 51.12/8.15 | (477) all_28_155 = all_12_1
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_16_27, all_26_8, e12, e10,
% 51.12/8.15 | simplifying with (186), (351) gives:
% 51.12/8.15 | (478) all_26_8 = all_16_27
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_12_3, all_26_8, e12, e10, simplifying
% 51.12/8.15 | with (105), (351) gives:
% 51.12/8.15 | (479) all_26_8 = all_12_3
% 51.12/8.15 |
% 51.12/8.15 | GROUND_INST: instantiating (28) with all_26_8, all_28_151, e12, e10,
% 51.12/8.15 | simplifying with (351), (381) gives:
% 51.12/8.15 | (480) all_28_151 = all_26_8
% 51.12/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with all_20_2, all_28_151, e12, e10,
% 51.30/8.15 | simplifying with (253), (381) gives:
% 51.30/8.15 | (481) all_28_151 = all_20_2
% 51.30/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with all_16_25, all_20_3, e13, e10,
% 51.30/8.15 | simplifying with (187), (254) gives:
% 51.30/8.15 | (482) all_20_3 = all_16_25
% 51.30/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with all_12_2, all_20_3, e13, e10, simplifying
% 51.30/8.15 | with (106), (254) gives:
% 51.30/8.15 | (483) all_20_3 = all_12_2
% 51.30/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with all_20_3, all_26_15, e13, e10,
% 51.30/8.15 | simplifying with (254), (352) gives:
% 51.30/8.15 | (484) all_26_15 = all_20_3
% 51.30/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with all_26_15, all_28_147, e13, e10,
% 51.30/8.15 | simplifying with (352), (382) gives:
% 51.30/8.15 | (485) all_28_147 = all_26_15
% 51.30/8.15 |
% 51.30/8.15 | GROUND_INST: instantiating (28) with e12, all_28_147, e13, e10, simplifying
% 51.30/8.15 | with (13), (382) gives:
% 51.30/8.15 | (486) all_28_147 = e12
% 51.30/8.15 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_23, all_26_1, e10, e11,
% 51.30/8.16 | simplifying with (188), (353) gives:
% 51.30/8.16 | (487) all_26_1 = all_16_23
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_4, all_26_1, e10, e11, simplifying
% 51.30/8.16 | with (107), (353) gives:
% 51.30/8.16 | (488) all_26_1 = all_12_4
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_1, all_28_143, e10, e11,
% 51.30/8.16 | simplifying with (353), (383) gives:
% 51.30/8.16 | (489) all_28_143 = all_26_1
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_4, all_28_143, e10, e11,
% 51.30/8.16 | simplifying with (255), (383) gives:
% 51.30/8.16 | (490) all_28_143 = all_20_4
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_5, all_26_2, e11, e11, simplifying
% 51.30/8.16 | with (256), (354) gives:
% 51.30/8.16 | (491) all_26_2 = all_20_5
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_21, all_26_2, e11, e11,
% 51.30/8.16 | simplifying with (189), (354) gives:
% 51.30/8.16 | (492) all_26_2 = all_16_21
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_2, all_28_140, e11, e11,
% 51.30/8.16 | simplifying with (354), (384) gives:
% 51.30/8.16 | (493) all_28_140 = all_26_2
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_5, all_28_140, e11, e11,
% 51.30/8.16 | simplifying with (108), (384) gives:
% 51.30/8.16 | (494) all_28_140 = all_12_5
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_19, all_20_6, e12, e11,
% 51.30/8.16 | simplifying with (190), (257) gives:
% 51.30/8.16 | (495) all_20_6 = all_16_19
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_7, all_28_137, e12, e11,
% 51.30/8.16 | simplifying with (355), (385) gives:
% 51.30/8.16 | (496) all_28_137 = all_26_7
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_6, all_28_137, e12, e11,
% 51.30/8.16 | simplifying with (257), (385) gives:
% 51.30/8.16 | (497) all_28_137 = all_20_6
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_7, all_28_137, e12, e11,
% 51.30/8.16 | simplifying with (109), (385) gives:
% 51.30/8.16 | (498) all_28_137 = all_12_7
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_7, all_26_14, e13, e11,
% 51.30/8.16 | simplifying with (258), (356) gives:
% 51.30/8.16 | (499) all_26_14 = all_20_7
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_6, all_26_14, e13, e11,
% 51.30/8.16 | simplifying with (110), (356) gives:
% 51.30/8.16 | (500) all_26_14 = all_12_6
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_7, all_28_134, e13, e11,
% 51.30/8.16 | simplifying with (258), (386) gives:
% 51.30/8.16 | (501) all_28_134 = all_20_7
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_17, all_28_134, e13, e11,
% 51.30/8.16 | simplifying with (191), (386) gives:
% 51.30/8.16 | (502) all_28_134 = all_16_17
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_8, all_20_8, e10, e12, simplifying
% 51.30/8.16 | with (111), (259) gives:
% 51.30/8.16 | (503) all_20_8 = all_12_8
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_8, all_26_5, e10, e12, simplifying
% 51.30/8.16 | with (259), (357) gives:
% 51.30/8.16 | (504) all_26_5 = all_20_8
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_5, all_28_131, e10, e12,
% 51.30/8.16 | simplifying with (357), (387) gives:
% 51.30/8.16 | (505) all_28_131 = all_26_5
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_15, all_28_131, e10, e12,
% 51.30/8.16 | simplifying with (192), (387) gives:
% 51.30/8.16 | (506) all_28_131 = all_16_15
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_9, all_20_9, e11, e12, simplifying
% 51.30/8.16 | with (112), (260) gives:
% 51.30/8.16 | (507) all_20_9 = all_12_9
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_9, all_26_4, e11, e12, simplifying
% 51.30/8.16 | with (260), (358) gives:
% 51.30/8.16 | (508) all_26_4 = all_20_9
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_4, all_28_128, e11, e12,
% 51.30/8.16 | simplifying with (358), (388) gives:
% 51.30/8.16 | (509) all_28_128 = all_26_4
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_13, all_28_128, e11, e12,
% 51.30/8.16 | simplifying with (193), (388) gives:
% 51.30/8.16 | (510) all_28_128 = all_16_13
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_11, all_20_10, e12, e12,
% 51.30/8.16 | simplifying with (194), (261) gives:
% 51.30/8.16 | (511) all_20_10 = all_16_11
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_6, all_28_125, e12, e12,
% 51.30/8.16 | simplifying with (359), (389) gives:
% 51.30/8.16 | (512) all_28_125 = all_26_6
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_10, all_28_125, e12, e12,
% 51.30/8.16 | simplifying with (261), (389) gives:
% 51.30/8.16 | (513) all_28_125 = all_20_10
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_11, all_28_125, e12, e12,
% 51.30/8.16 | simplifying with (113), (389) gives:
% 51.30/8.16 | (514) all_28_125 = all_12_11
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_11, all_26_13, e13, e12,
% 51.30/8.16 | simplifying with (262), (360) gives:
% 51.30/8.16 | (515) all_26_13 = all_20_11
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_9, all_26_13, e13, e12,
% 51.30/8.16 | simplifying with (195), (360) gives:
% 51.30/8.16 | (516) all_26_13 = all_16_9
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_13, all_28_122, e13, e12,
% 51.30/8.16 | simplifying with (360), (390) gives:
% 51.30/8.16 | (517) all_28_122 = all_26_13
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_10, all_28_122, e13, e12,
% 51.30/8.16 | simplifying with (114), (390) gives:
% 51.30/8.16 | (518) all_28_122 = all_12_10
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_12, all_26_11, e10, e13,
% 51.30/8.16 | simplifying with (263), (361) gives:
% 51.30/8.16 | (519) all_26_11 = all_20_12
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_7, all_26_11, e10, e13,
% 51.30/8.16 | simplifying with (196), (361) gives:
% 51.30/8.16 | (520) all_26_11 = all_16_7
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_11, all_28_119, e10, e13,
% 51.30/8.16 | simplifying with (361), (391) gives:
% 51.30/8.16 | (521) all_28_119 = all_26_11
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_12, all_28_119, e10, e13,
% 51.30/8.16 | simplifying with (115), (391) gives:
% 51.30/8.16 | (522) all_28_119 = all_12_12
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_13, all_20_13, e11, e13,
% 51.30/8.16 | simplifying with (116), (264) gives:
% 51.30/8.16 | (523) all_20_13 = all_12_13
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_13, all_26_10, e11, e13,
% 51.30/8.16 | simplifying with (264), (362) gives:
% 51.30/8.16 | (524) all_26_10 = all_20_13
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with e10, all_26_10, e11, e13, simplifying
% 51.30/8.16 | with (14), (362) gives:
% 51.30/8.16 | (525) all_26_10 = e10
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_13, all_28_116, e11, e13,
% 51.30/8.16 | simplifying with (264), (392) gives:
% 51.30/8.16 | (526) all_28_116 = all_20_13
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_5, all_28_116, e11, e13,
% 51.30/8.16 | simplifying with (197), (392) gives:
% 51.30/8.16 | (527) all_28_116 = all_16_5
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_3, all_20_14, e12, e13,
% 51.30/8.16 | simplifying with (198), (265) gives:
% 51.30/8.16 | (528) all_20_14 = all_16_3
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_26_9, all_28_113, e12, e13,
% 51.30/8.16 | simplifying with (363), (393) gives:
% 51.30/8.16 | (529) all_28_113 = all_26_9
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_14, all_28_113, e12, e13,
% 51.30/8.16 | simplifying with (265), (393) gives:
% 51.30/8.16 | (530) all_28_113 = all_20_14
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_15, all_28_113, e12, e13,
% 51.30/8.16 | simplifying with (117), (393) gives:
% 51.30/8.16 | (531) all_28_113 = all_12_15
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_15, all_26_12, e13, e13,
% 51.30/8.16 | simplifying with (266), (364) gives:
% 51.30/8.16 | (532) all_26_12 = all_20_15
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with e11, all_26_12, e13, e13, simplifying
% 51.30/8.16 | with (15), (364) gives:
% 51.30/8.16 | (533) all_26_12 = e11
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_20_15, all_28_110, e13, e13,
% 51.30/8.16 | simplifying with (266), (394) gives:
% 51.30/8.16 | (534) all_28_110 = all_20_15
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_16_1, all_28_110, e13, e13,
% 51.30/8.16 | simplifying with (199), (394) gives:
% 51.30/8.16 | (535) all_28_110 = all_16_1
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (28) with all_12_14, all_28_110, e13, e13,
% 51.30/8.16 | simplifying with (118), (394) gives:
% 51.30/8.16 | (536) all_28_110 = all_12_14
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_10_1, all_18_31, e20, e20,
% 51.30/8.16 | simplifying with (53), (217) gives:
% 51.30/8.16 | (537) all_18_31 = all_10_1
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_18_31, all_22_0, e20, e20,
% 51.30/8.16 | simplifying with (217), (281) gives:
% 51.30/8.16 | (538) all_22_0 = all_18_31
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_22_0, all_24_0, e20, e20, simplifying
% 51.30/8.16 | with (281), (310) gives:
% 51.30/8.16 | (539) all_24_0 = all_22_0
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_14_0, all_24_0, e20, e20, simplifying
% 51.30/8.16 | with (167), (310) gives:
% 51.30/8.16 | (540) all_24_0 = all_14_0
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_14_1, all_22_1, e21, e20, simplifying
% 51.30/8.16 | with (168), (282) gives:
% 51.30/8.16 | (541) all_22_1 = all_14_1
% 51.30/8.16 |
% 51.30/8.16 | GROUND_INST: instantiating (29) with all_22_1, all_24_3, e21, e20, simplifying
% 51.30/8.16 | with (282), (311) gives:
% 51.30/8.16 | (542) all_24_3 = all_22_1
% 51.30/8.16 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_29, all_24_3, e21, e20,
% 51.30/8.17 | simplifying with (218), (311) gives:
% 51.30/8.17 | (543) all_24_3 = all_18_29
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_3, all_22_2, e22, e20, simplifying
% 51.30/8.17 | with (169), (283) gives:
% 51.30/8.17 | (544) all_22_2 = all_14_3
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_2, all_24_8, e22, e20, simplifying
% 51.30/8.17 | with (283), (312) gives:
% 51.30/8.17 | (545) all_24_8 = all_22_2
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_27, all_24_8, e22, e20,
% 51.30/8.17 | simplifying with (219), (312) gives:
% 51.30/8.17 | (546) all_24_8 = all_18_27
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_2, all_18_25, e23, e20,
% 51.30/8.17 | simplifying with (170), (220) gives:
% 51.30/8.17 | (547) all_18_25 = all_14_2
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_3, all_24_15, e23, e20,
% 51.30/8.17 | simplifying with (284), (313) gives:
% 51.30/8.17 | (548) all_24_15 = all_22_3
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_25, all_24_15, e23, e20,
% 51.30/8.17 | simplifying with (220), (313) gives:
% 51.30/8.17 | (549) all_24_15 = all_18_25
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with e22, all_24_15, e23, e20, simplifying
% 51.30/8.17 | with (16), (313) gives:
% 51.30/8.17 | (550) all_24_15 = e22
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_23, all_22_4, e20, e21,
% 51.30/8.17 | simplifying with (221), (285) gives:
% 51.30/8.17 | (551) all_22_4 = all_18_23
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_4, all_24_1, e20, e21, simplifying
% 51.30/8.17 | with (285), (314) gives:
% 51.30/8.17 | (552) all_24_1 = all_22_4
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_4, all_24_1, e20, e21, simplifying
% 51.30/8.17 | with (171), (314) gives:
% 51.30/8.17 | (553) all_24_1 = all_14_4
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_4_1, all_18_21, e21, e21, simplifying
% 51.30/8.17 | with (31), (222) gives:
% 51.30/8.17 | (554) all_18_21 = all_4_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_21, all_22_5, e21, e21,
% 51.30/8.17 | simplifying with (222), (286) gives:
% 51.30/8.17 | (555) all_22_5 = all_18_21
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_5, all_24_2, e21, e21, simplifying
% 51.30/8.17 | with (286), (315) gives:
% 51.30/8.17 | (556) all_24_2 = all_22_5
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_5, all_24_2, e21, e21, simplifying
% 51.30/8.17 | with (172), (315) gives:
% 51.30/8.17 | (557) all_24_2 = all_14_5
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_19, all_22_6, e22, e21,
% 51.30/8.17 | simplifying with (223), (287) gives:
% 51.30/8.17 | (558) all_22_6 = all_18_19
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_6, all_24_7, e22, e21, simplifying
% 51.30/8.17 | with (287), (316) gives:
% 51.30/8.17 | (559) all_24_7 = all_22_6
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_7, all_24_7, e22, e21, simplifying
% 51.30/8.17 | with (173), (316) gives:
% 51.30/8.17 | (560) all_24_7 = all_14_7
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_6, all_22_7, e23, e21, simplifying
% 51.30/8.17 | with (174), (288) gives:
% 51.30/8.17 | (561) all_22_7 = all_14_6
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_7, all_24_14, e23, e21,
% 51.30/8.17 | simplifying with (288), (317) gives:
% 51.30/8.17 | (562) all_24_14 = all_22_7
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_17, all_24_14, e23, e21,
% 51.30/8.17 | simplifying with (224), (317) gives:
% 51.30/8.17 | (563) all_24_14 = all_18_17
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_8, all_22_8, e20, e22, simplifying
% 51.30/8.17 | with (175), (289) gives:
% 51.30/8.17 | (564) all_22_8 = all_14_8
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_8, all_24_5, e20, e22, simplifying
% 51.30/8.17 | with (289), (318) gives:
% 51.30/8.17 | (565) all_24_5 = all_22_8
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_15, all_24_5, e20, e22,
% 51.30/8.17 | simplifying with (225), (318) gives:
% 51.30/8.17 | (566) all_24_5 = all_18_15
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_9, all_22_9, e21, e22, simplifying
% 51.30/8.17 | with (176), (290) gives:
% 51.30/8.17 | (567) all_22_9 = all_14_9
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_9, all_24_4, e21, e22, simplifying
% 51.30/8.17 | with (290), (319) gives:
% 51.30/8.17 | (568) all_24_4 = all_22_9
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_13, all_24_4, e21, e22,
% 51.30/8.17 | simplifying with (226), (319) gives:
% 51.30/8.17 | (569) all_24_4 = all_18_13
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_6_1, all_18_11, e22, e22, simplifying
% 51.30/8.17 | with (37), (227) gives:
% 51.30/8.17 | (570) all_18_11 = all_6_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_11, all_22_10, e22, e22,
% 51.30/8.17 | simplifying with (227), (291) gives:
% 51.30/8.17 | (571) all_22_10 = all_18_11
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_10, all_24_6, e22, e22,
% 51.30/8.17 | simplifying with (291), (320) gives:
% 51.30/8.17 | (572) all_24_6 = all_22_10
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_11, all_24_6, e22, e22,
% 51.30/8.17 | simplifying with (177), (320) gives:
% 51.30/8.17 | (573) all_24_6 = all_14_11
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_10, all_22_11, e23, e22,
% 51.30/8.17 | simplifying with (178), (292) gives:
% 51.30/8.17 | (574) all_22_11 = all_14_10
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_11, all_24_13, e23, e22,
% 51.30/8.17 | simplifying with (292), (321) gives:
% 51.30/8.17 | (575) all_24_13 = all_22_11
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_9, all_24_13, e23, e22,
% 51.30/8.17 | simplifying with (228), (321) gives:
% 51.30/8.17 | (576) all_24_13 = all_18_9
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_12, all_22_12, e20, e23,
% 51.30/8.17 | simplifying with (179), (293) gives:
% 51.30/8.17 | (577) all_22_12 = all_14_12
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_12, all_24_11, e20, e23,
% 51.30/8.17 | simplifying with (293), (322) gives:
% 51.30/8.17 | (578) all_24_11 = all_22_12
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_7, all_24_11, e20, e23,
% 51.30/8.17 | simplifying with (229), (322) gives:
% 51.30/8.17 | (579) all_24_11 = all_18_7
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_5, all_22_13, e21, e23,
% 51.30/8.17 | simplifying with (230), (294) gives:
% 51.30/8.17 | (580) all_22_13 = all_18_5
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_13, all_22_13, e21, e23,
% 51.30/8.17 | simplifying with (180), (294) gives:
% 51.30/8.17 | (581) all_22_13 = all_14_13
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_5, all_24_10, e21, e23,
% 51.30/8.17 | simplifying with (230), (323) gives:
% 51.30/8.17 | (582) all_24_10 = all_18_5
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with e20, all_24_10, e21, e23, simplifying
% 51.30/8.17 | with (17), (323) gives:
% 51.30/8.17 | (583) all_24_10 = e20
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_15, all_22_14, e22, e23,
% 51.30/8.17 | simplifying with (181), (295) gives:
% 51.30/8.17 | (584) all_22_14 = all_14_15
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_14, all_24_9, e22, e23,
% 51.30/8.17 | simplifying with (295), (324) gives:
% 51.30/8.17 | (585) all_24_9 = all_22_14
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_3, all_24_9, e22, e23, simplifying
% 51.30/8.17 | with (231), (324) gives:
% 51.30/8.17 | (586) all_24_9 = all_18_3
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_8_1, all_14_14, e23, e23, simplifying
% 51.30/8.17 | with (45), (182) gives:
% 51.30/8.17 | (587) all_14_14 = all_8_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_14_14, all_18_1, e23, e23,
% 51.30/8.17 | simplifying with (182), (232) gives:
% 51.30/8.17 | (588) all_18_1 = all_14_14
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_18_1, all_22_15, e23, e23,
% 51.30/8.17 | simplifying with (232), (296) gives:
% 51.30/8.17 | (589) all_22_15 = all_18_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with all_22_15, all_24_12, e23, e23,
% 51.30/8.17 | simplifying with (296), (325) gives:
% 51.30/8.17 | (590) all_24_12 = all_22_15
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (29) with e21, all_24_12, e23, e23, simplifying
% 51.30/8.17 | with (18), (325) gives:
% 51.30/8.17 | (591) all_24_12 = e21
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (24) with all_10_0, all_28_34, e10, simplifying
% 51.30/8.17 | with (56), (438) gives:
% 51.30/8.17 | (592) all_28_34 = all_10_0
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (24) with all_10_1, all_28_31, e11, simplifying
% 51.30/8.17 | with (57), (439) gives:
% 51.30/8.17 | (593) all_28_31 = all_10_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (24) with all_10_2, all_28_28, e12, simplifying
% 51.30/8.17 | with (58), (440) gives:
% 51.30/8.17 | (594) all_28_28 = all_10_2
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (24) with e20, all_28_25, e13, simplifying with
% 51.30/8.17 | (59), (441) gives:
% 51.30/8.17 | (595) all_28_25 = e20
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (25) with all_4_0, all_28_70, e10, simplifying with
% 51.30/8.17 | (33), (442) gives:
% 51.30/8.17 | (596) all_28_70 = all_4_0
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (25) with all_4_1, all_28_67, e11, simplifying with
% 51.30/8.17 | (34), (443) gives:
% 51.30/8.17 | (597) all_28_67 = all_4_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (25) with e21, all_28_61, e13, simplifying with
% 51.30/8.17 | (35), (444) gives:
% 51.30/8.17 | (598) all_28_61 = e21
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (26) with all_6_0, all_28_106, e10, simplifying
% 51.30/8.17 | with (40), (445) gives:
% 51.30/8.17 | (599) all_28_106 = all_6_0
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (26) with all_6_1, all_28_103, e11, simplifying
% 51.30/8.17 | with (41), (446) gives:
% 51.30/8.17 | (600) all_28_103 = all_6_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (26) with all_6_2, all_28_100, e12, simplifying
% 51.30/8.17 | with (42), (447) gives:
% 51.30/8.17 | (601) all_28_100 = all_6_2
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (26) with e22, all_28_97, e13, simplifying with
% 51.30/8.17 | (43), (448) gives:
% 51.30/8.17 | (602) all_28_97 = e22
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (27) with all_8_0, all_28_157, e10, simplifying
% 51.30/8.17 | with (48), (465) gives:
% 51.30/8.17 | (603) all_28_157 = all_8_0
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (27) with all_8_1, all_28_153, e11, simplifying
% 51.30/8.17 | with (49), (466) gives:
% 51.30/8.17 | (604) all_28_153 = all_8_1
% 51.30/8.17 |
% 51.30/8.17 | GROUND_INST: instantiating (27) with all_8_2, all_28_149, e12, simplifying
% 51.30/8.17 | with (50), (467) gives:
% 51.30/8.17 | (605) all_28_149 = all_8_2
% 51.30/8.17 |
% 51.30/8.18 | GROUND_INST: instantiating (27) with e23, all_28_145, e13, simplifying with
% 51.30/8.18 | (51), (468) gives:
% 51.30/8.18 | (606) all_28_145 = e23
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (534), (535) imply:
% 51.30/8.18 | (607) all_20_15 = all_16_1
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (607) implies:
% 51.30/8.18 | (608) all_20_15 = all_16_1
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (535), (536) imply:
% 51.30/8.18 | (609) all_16_1 = all_12_14
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (529), (530) imply:
% 51.30/8.18 | (610) all_26_9 = all_20_14
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (529), (531) imply:
% 51.30/8.18 | (611) all_26_9 = all_12_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (526), (527) imply:
% 51.30/8.18 | (612) all_20_13 = all_16_5
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (612) implies:
% 51.30/8.18 | (613) all_20_13 = all_16_5
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (521), (522) imply:
% 51.30/8.18 | (614) all_26_11 = all_12_12
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (614) implies:
% 51.30/8.18 | (615) all_26_11 = all_12_12
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (517), (518) imply:
% 51.30/8.18 | (616) all_26_13 = all_12_10
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (616) implies:
% 51.30/8.18 | (617) all_26_13 = all_12_10
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (512), (513) imply:
% 51.30/8.18 | (618) all_26_6 = all_20_10
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (512), (514) imply:
% 51.30/8.18 | (619) all_26_6 = all_12_11
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (509), (510) imply:
% 51.30/8.18 | (620) all_26_4 = all_16_13
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (620) implies:
% 51.30/8.18 | (621) all_26_4 = all_16_13
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (505), (506) imply:
% 51.30/8.18 | (622) all_26_5 = all_16_15
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (622) implies:
% 51.30/8.18 | (623) all_26_5 = all_16_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (501), (502) imply:
% 51.30/8.18 | (624) all_20_7 = all_16_17
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (624) implies:
% 51.30/8.18 | (625) all_20_7 = all_16_17
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (496), (498) imply:
% 51.30/8.18 | (626) all_26_7 = all_12_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (496), (497) imply:
% 51.30/8.18 | (627) all_26_7 = all_20_6
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (493), (494) imply:
% 51.30/8.18 | (628) all_26_2 = all_12_5
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (628) implies:
% 51.30/8.18 | (629) all_26_2 = all_12_5
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (489), (490) imply:
% 51.30/8.18 | (630) all_26_1 = all_20_4
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (630) implies:
% 51.30/8.18 | (631) all_26_1 = all_20_4
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (485), (486) imply:
% 51.30/8.18 | (632) all_26_15 = e12
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (632) implies:
% 51.30/8.18 | (633) all_26_15 = e12
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (480), (481) imply:
% 51.30/8.18 | (634) all_26_8 = all_20_2
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (634) implies:
% 51.30/8.18 | (635) all_26_8 = all_20_2
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (476), (477) imply:
% 51.30/8.18 | (636) all_26_3 = all_12_1
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (636) implies:
% 51.30/8.18 | (637) all_26_3 = all_12_1
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (472), (473) imply:
% 51.30/8.18 | (638) all_26_0 = all_20_0
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (638) implies:
% 51.30/8.18 | (639) all_26_0 = all_20_0
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (471), (639) imply:
% 51.30/8.18 | (640) all_20_0 = all_12_0
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (470), (639) imply:
% 51.30/8.18 | (641) all_20_0 = all_16_31
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (487), (631) imply:
% 51.30/8.18 | (642) all_20_4 = all_16_23
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (488), (631) imply:
% 51.30/8.18 | (643) all_20_4 = all_12_4
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (491), (629) imply:
% 51.30/8.18 | (644) all_20_5 = all_12_5
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (491), (492) imply:
% 51.30/8.18 | (645) all_20_5 = all_16_21
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (474), (637) imply:
% 51.30/8.18 | (646) all_20_1 = all_12_1
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (474), (475) imply:
% 51.30/8.18 | (647) all_20_1 = all_16_29
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (508), (621) imply:
% 51.30/8.18 | (648) all_20_9 = all_16_13
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (648) implies:
% 51.30/8.18 | (649) all_20_9 = all_16_13
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (504), (623) imply:
% 51.30/8.18 | (650) all_20_8 = all_16_15
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (650) implies:
% 51.30/8.18 | (651) all_20_8 = all_16_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (618), (619) imply:
% 51.30/8.18 | (652) all_20_10 = all_12_11
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (652) implies:
% 51.30/8.18 | (653) all_20_10 = all_12_11
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (626), (627) imply:
% 51.30/8.18 | (654) all_20_6 = all_12_7
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (654) implies:
% 51.30/8.18 | (655) all_20_6 = all_12_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (479), (635) imply:
% 51.30/8.18 | (656) all_20_2 = all_12_3
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (478), (635) imply:
% 51.30/8.18 | (657) all_20_2 = all_16_27
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (610), (611) imply:
% 51.30/8.18 | (658) all_20_14 = all_12_15
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (658) implies:
% 51.30/8.18 | (659) all_20_14 = all_12_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (524), (525) imply:
% 51.30/8.18 | (660) all_20_13 = e10
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (660) implies:
% 51.30/8.18 | (661) all_20_13 = e10
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (519), (615) imply:
% 51.30/8.18 | (662) all_20_12 = all_12_12
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (519), (520) imply:
% 51.30/8.18 | (663) all_20_12 = all_16_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (532), (533) imply:
% 51.30/8.18 | (664) all_20_15 = e11
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (664) implies:
% 51.30/8.18 | (665) all_20_15 = e11
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (515), (516) imply:
% 51.30/8.18 | (666) all_20_11 = all_16_9
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (515), (617) imply:
% 51.30/8.18 | (667) all_20_11 = all_12_10
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (499), (500) imply:
% 51.30/8.18 | (668) all_20_7 = all_12_6
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (668) implies:
% 51.30/8.18 | (669) all_20_7 = all_12_6
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (484), (633) imply:
% 51.30/8.18 | (670) all_20_3 = e12
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (670) implies:
% 51.30/8.18 | (671) all_20_3 = e12
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (539), (540) imply:
% 51.30/8.18 | (672) all_22_0 = all_14_0
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (672) implies:
% 51.30/8.18 | (673) all_22_0 = all_14_0
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (552), (553) imply:
% 51.30/8.18 | (674) all_22_4 = all_14_4
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (674) implies:
% 51.30/8.18 | (675) all_22_4 = all_14_4
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (556), (557) imply:
% 51.30/8.18 | (676) all_22_5 = all_14_5
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (676) implies:
% 51.30/8.18 | (677) all_22_5 = all_14_5
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (542), (543) imply:
% 51.30/8.18 | (678) all_22_1 = all_18_29
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (678) implies:
% 51.30/8.18 | (679) all_22_1 = all_18_29
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (568), (569) imply:
% 51.30/8.18 | (680) all_22_9 = all_18_13
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (680) implies:
% 51.30/8.18 | (681) all_22_9 = all_18_13
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (565), (566) imply:
% 51.30/8.18 | (682) all_22_8 = all_18_15
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (682) implies:
% 51.30/8.18 | (683) all_22_8 = all_18_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (572), (573) imply:
% 51.30/8.18 | (684) all_22_10 = all_14_11
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (684) implies:
% 51.30/8.18 | (685) all_22_10 = all_14_11
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (559), (560) imply:
% 51.30/8.18 | (686) all_22_6 = all_14_7
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (686) implies:
% 51.30/8.18 | (687) all_22_6 = all_14_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (545), (546) imply:
% 51.30/8.18 | (688) all_22_2 = all_18_27
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (688) implies:
% 51.30/8.18 | (689) all_22_2 = all_18_27
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (585), (586) imply:
% 51.30/8.18 | (690) all_22_14 = all_18_3
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (690) implies:
% 51.30/8.18 | (691) all_22_14 = all_18_3
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (582), (583) imply:
% 51.30/8.18 | (692) all_18_5 = e20
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (692) implies:
% 51.30/8.18 | (693) all_18_5 = e20
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (578), (579) imply:
% 51.30/8.18 | (694) all_22_12 = all_18_7
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (694) implies:
% 51.30/8.18 | (695) all_22_12 = all_18_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (590), (591) imply:
% 51.30/8.18 | (696) all_22_15 = e21
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (696) implies:
% 51.30/8.18 | (697) all_22_15 = e21
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (575), (576) imply:
% 51.30/8.18 | (698) all_22_11 = all_18_9
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (698) implies:
% 51.30/8.18 | (699) all_22_11 = all_18_9
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (562), (563) imply:
% 51.30/8.18 | (700) all_22_7 = all_18_17
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (700) implies:
% 51.30/8.18 | (701) all_22_7 = all_18_17
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (548), (549) imply:
% 51.30/8.18 | (702) all_22_3 = all_18_25
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (548), (550) imply:
% 51.30/8.18 | (703) all_22_3 = e22
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (538), (673) imply:
% 51.30/8.18 | (704) all_18_31 = all_14_0
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (704) implies:
% 51.30/8.18 | (705) all_18_31 = all_14_0
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (541), (679) imply:
% 51.30/8.18 | (706) all_18_29 = all_14_1
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (706) implies:
% 51.30/8.18 | (707) all_18_29 = all_14_1
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (544), (689) imply:
% 51.30/8.18 | (708) all_18_27 = all_14_3
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (708) implies:
% 51.30/8.18 | (709) all_18_27 = all_14_3
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (702), (703) imply:
% 51.30/8.18 | (710) all_18_25 = e22
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (710) implies:
% 51.30/8.18 | (711) all_18_25 = e22
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (551), (675) imply:
% 51.30/8.18 | (712) all_18_23 = all_14_4
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (712) implies:
% 51.30/8.18 | (713) all_18_23 = all_14_4
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (555), (677) imply:
% 51.30/8.18 | (714) all_18_21 = all_14_5
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (714) implies:
% 51.30/8.18 | (715) all_18_21 = all_14_5
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (558), (687) imply:
% 51.30/8.18 | (716) all_18_19 = all_14_7
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (716) implies:
% 51.30/8.18 | (717) all_18_19 = all_14_7
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (561), (701) imply:
% 51.30/8.18 | (718) all_18_17 = all_14_6
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (718) implies:
% 51.30/8.18 | (719) all_18_17 = all_14_6
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (564), (683) imply:
% 51.30/8.18 | (720) all_18_15 = all_14_8
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (720) implies:
% 51.30/8.18 | (721) all_18_15 = all_14_8
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (567), (681) imply:
% 51.30/8.18 | (722) all_18_13 = all_14_9
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (571), (685) imply:
% 51.30/8.18 | (723) all_18_11 = all_14_11
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (723) implies:
% 51.30/8.18 | (724) all_18_11 = all_14_11
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (574), (699) imply:
% 51.30/8.18 | (725) all_18_9 = all_14_10
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (725) implies:
% 51.30/8.18 | (726) all_18_9 = all_14_10
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (577), (695) imply:
% 51.30/8.18 | (727) all_18_7 = all_14_12
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (580), (581) imply:
% 51.30/8.18 | (728) all_18_5 = all_14_13
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (728) implies:
% 51.30/8.18 | (729) all_18_5 = all_14_13
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (584), (691) imply:
% 51.30/8.18 | (730) all_18_3 = all_14_15
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (589), (697) imply:
% 51.30/8.18 | (731) all_18_1 = e21
% 51.30/8.18 |
% 51.30/8.18 | SIMP: (731) implies:
% 51.30/8.18 | (732) all_18_1 = e21
% 51.30/8.18 |
% 51.30/8.18 | COMBINE_EQS: (640), (641) imply:
% 51.30/8.18 | (733) all_16_31 = all_12_0
% 51.30/8.18 |
% 51.30/8.19 | COMBINE_EQS: (646), (647) imply:
% 51.30/8.19 | (734) all_16_29 = all_12_1
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (734) implies:
% 51.30/8.19 | (735) all_16_29 = all_12_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (656), (657) imply:
% 51.30/8.19 | (736) all_16_27 = all_12_3
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (736) implies:
% 51.30/8.19 | (737) all_16_27 = all_12_3
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (482), (483) imply:
% 51.30/8.19 | (738) all_16_25 = all_12_2
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (482), (671) imply:
% 51.30/8.19 | (739) all_16_25 = e12
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (642), (643) imply:
% 51.30/8.19 | (740) all_16_23 = all_12_4
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (740) implies:
% 51.30/8.19 | (741) all_16_23 = all_12_4
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (644), (645) imply:
% 51.30/8.19 | (742) all_16_21 = all_12_5
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (495), (655) imply:
% 51.30/8.19 | (743) all_16_19 = all_12_7
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (625), (669) imply:
% 51.30/8.19 | (744) all_16_17 = all_12_6
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (744) implies:
% 51.30/8.19 | (745) all_16_17 = all_12_6
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (503), (651) imply:
% 51.30/8.19 | (746) all_16_15 = all_12_8
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (507), (649) imply:
% 51.30/8.19 | (747) all_16_13 = all_12_9
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (511), (653) imply:
% 51.30/8.19 | (748) all_16_11 = all_12_11
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (748) implies:
% 51.30/8.19 | (749) all_16_11 = all_12_11
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (666), (667) imply:
% 51.30/8.19 | (750) all_16_9 = all_12_10
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (662), (663) imply:
% 51.30/8.19 | (751) all_16_7 = all_12_12
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (751) implies:
% 51.30/8.19 | (752) all_16_7 = all_12_12
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (523), (613) imply:
% 51.30/8.19 | (753) all_16_5 = all_12_13
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (613), (661) imply:
% 51.30/8.19 | (754) all_16_5 = e10
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (528), (659) imply:
% 51.30/8.19 | (755) all_16_3 = all_12_15
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (608), (665) imply:
% 51.30/8.19 | (756) all_16_1 = e11
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (756) implies:
% 51.30/8.19 | (757) all_16_1 = e11
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (588), (732) imply:
% 51.30/8.19 | (758) all_14_14 = e21
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (758) implies:
% 51.30/8.19 | (759) all_14_14 = e21
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (693), (729) imply:
% 51.30/8.19 | (760) all_14_13 = e20
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (570), (724) imply:
% 51.30/8.19 | (761) all_14_11 = all_6_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (554), (715) imply:
% 51.30/8.19 | (762) all_14_5 = all_4_1
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (762) implies:
% 51.30/8.19 | (763) all_14_5 = all_4_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (547), (711) imply:
% 51.30/8.19 | (764) all_14_2 = e22
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (764) implies:
% 51.30/8.19 | (765) all_14_2 = e22
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (537), (705) imply:
% 51.30/8.19 | (766) all_14_0 = all_10_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (609), (757) imply:
% 51.30/8.19 | (767) all_12_14 = e11
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (767) implies:
% 51.30/8.19 | (768) all_12_14 = e11
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (753), (754) imply:
% 51.30/8.19 | (769) all_12_13 = e10
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (769) implies:
% 51.30/8.19 | (770) all_12_13 = e10
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (738), (739) imply:
% 51.30/8.19 | (771) all_12_2 = e12
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (587), (759) imply:
% 51.30/8.19 | (772) all_8_1 = e21
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (772) implies:
% 51.30/8.19 | (773) all_8_1 = e21
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (685), (761) imply:
% 51.30/8.19 | (774) all_22_10 = all_6_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (677), (763) imply:
% 51.30/8.19 | (775) all_22_5 = all_4_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (673), (766) imply:
% 51.30/8.19 | (776) all_22_0 = all_10_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (563), (719) imply:
% 51.30/8.19 | (777) all_24_14 = all_14_6
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (576), (726) imply:
% 51.30/8.19 | (778) all_24_13 = all_14_10
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (579), (727) imply:
% 51.30/8.19 | (779) all_24_11 = all_14_12
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (586), (730) imply:
% 51.30/8.19 | (780) all_24_9 = all_14_15
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (546), (709) imply:
% 51.30/8.19 | (781) all_24_8 = all_14_3
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (573), (761) imply:
% 51.30/8.19 | (782) all_24_6 = all_6_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (566), (721) imply:
% 51.30/8.19 | (783) all_24_5 = all_14_8
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (569), (722) imply:
% 51.30/8.19 | (784) all_24_4 = all_14_9
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (543), (707) imply:
% 51.30/8.19 | (785) all_24_3 = all_14_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (557), (763) imply:
% 51.30/8.19 | (786) all_24_2 = all_4_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (540), (766) imply:
% 51.30/8.19 | (787) all_24_0 = all_10_1
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (623), (746) imply:
% 51.30/8.19 | (788) all_26_5 = all_12_8
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (621), (747) imply:
% 51.30/8.19 | (789) all_26_4 = all_12_9
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (473), (640) imply:
% 51.30/8.19 | (790) all_28_159 = all_12_0
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (604), (773) imply:
% 51.30/8.19 | (791) all_28_153 = e21
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (481), (656) imply:
% 51.30/8.19 | (792) all_28_151 = all_12_3
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (490), (643) imply:
% 51.30/8.19 | (793) all_28_143 = all_12_4
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (502), (745) imply:
% 51.30/8.19 | (794) all_28_134 = all_12_6
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (506), (746) imply:
% 51.30/8.19 | (795) all_28_131 = all_12_8
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (510), (747) imply:
% 51.30/8.19 | (796) all_28_128 = all_12_9
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (527), (754) imply:
% 51.30/8.19 | (797) all_28_116 = e10
% 51.30/8.19 |
% 51.30/8.19 | COMBINE_EQS: (535), (757) imply:
% 51.30/8.19 | (798) all_28_110 = e11
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (166), (766) imply:
% 51.30/8.19 | (799) ~ (all_14_1 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (799) implies:
% 51.30/8.19 | (800) ~ (all_14_1 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (165), (766) imply:
% 51.30/8.19 | (801) ~ (all_14_3 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (801) implies:
% 51.30/8.19 | (802) ~ (all_14_3 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (164), (766) imply:
% 51.30/8.19 | (803) ~ (all_14_4 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (803) implies:
% 51.30/8.19 | (804) ~ (all_14_4 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (163), (766) imply:
% 51.30/8.19 | (805) ~ (all_14_8 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (805) implies:
% 51.30/8.19 | (806) ~ (all_14_8 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (162), (766) imply:
% 51.30/8.19 | (807) ~ (all_14_12 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (807) implies:
% 51.30/8.19 | (808) ~ (all_14_12 = all_10_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (161), (765) imply:
% 51.30/8.19 | (809) ~ (all_14_1 = e22)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (159), (763) imply:
% 51.30/8.19 | (810) ~ (all_14_1 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (157), (760) imply:
% 51.30/8.19 | (811) ~ (all_14_1 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (156), (765) imply:
% 51.30/8.19 | (812) ~ (all_14_3 = e22)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (812) implies:
% 51.30/8.19 | (813) ~ (all_14_3 = e22)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (155), (765) imply:
% 51.30/8.19 | (814) ~ (all_14_6 = e22)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (814) implies:
% 51.30/8.19 | (815) ~ (all_14_6 = e22)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (154), (765) imply:
% 51.30/8.19 | (816) ~ (all_14_10 = e22)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (816) implies:
% 51.30/8.19 | (817) ~ (all_14_10 = e22)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (153), (759), (765) imply:
% 51.30/8.19 | (818) ~ (e22 = e21)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (151), (761) imply:
% 51.30/8.19 | (819) ~ (all_14_3 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (149), (763) imply:
% 51.30/8.19 | (820) ~ (all_14_4 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (144), (763) imply:
% 51.30/8.19 | (821) ~ (all_14_6 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (821) implies:
% 51.30/8.19 | (822) ~ (all_14_6 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (143), (763) imply:
% 51.30/8.19 | (823) ~ (all_14_7 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (823) implies:
% 51.30/8.19 | (824) ~ (all_14_7 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (142), (763) imply:
% 51.30/8.19 | (825) ~ (all_14_9 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (825) implies:
% 51.30/8.19 | (826) ~ (all_14_9 = all_4_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (141), (760), (763) imply:
% 51.30/8.19 | (827) ~ (all_4_1 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (138), (759) imply:
% 51.30/8.19 | (828) ~ (all_14_6 = e21)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (137), (761) imply:
% 51.30/8.19 | (829) ~ (all_14_7 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (133), (761) imply:
% 51.30/8.19 | (830) ~ (all_14_8 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (130), (761) imply:
% 51.30/8.19 | (831) ~ (all_14_9 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (129), (760) imply:
% 51.30/8.19 | (832) ~ (all_14_9 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (128), (761) imply:
% 51.30/8.19 | (833) ~ (all_14_10 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (127), (759) imply:
% 51.30/8.19 | (834) ~ (all_14_10 = e21)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (126), (761) imply:
% 51.30/8.19 | (835) ~ (all_14_15 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (835) implies:
% 51.30/8.19 | (836) ~ (all_14_15 = all_6_1)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (125), (760) imply:
% 51.30/8.19 | (837) ~ (all_14_12 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (124), (759) imply:
% 51.30/8.19 | (838) ~ (all_14_12 = e21)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (122), (759), (760) imply:
% 51.30/8.19 | (839) ~ (e21 = e20)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (839) implies:
% 51.30/8.19 | (840) ~ (e21 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (121), (760) imply:
% 51.30/8.19 | (841) ~ (all_14_15 = e20)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (841) implies:
% 51.30/8.19 | (842) ~ (all_14_15 = e20)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (120), (759) imply:
% 51.30/8.19 | (843) ~ (all_14_15 = e21)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (843) implies:
% 51.30/8.19 | (844) ~ (all_14_15 = e21)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (97), (771) imply:
% 51.30/8.19 | (845) ~ (all_12_1 = e12)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (93), (770) imply:
% 51.30/8.19 | (846) ~ (all_12_1 = e10)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (92), (771) imply:
% 51.30/8.19 | (847) ~ (all_12_6 = e12)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (847) implies:
% 51.30/8.19 | (848) ~ (all_12_6 = e12)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (91), (771) imply:
% 51.30/8.19 | (849) ~ (all_12_10 = e12)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (849) implies:
% 51.30/8.19 | (850) ~ (all_12_10 = e12)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (80), (770) imply:
% 51.30/8.19 | (851) ~ (all_12_5 = e10)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (77), (768) imply:
% 51.30/8.19 | (852) ~ (all_12_6 = e11)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (68), (768) imply:
% 51.30/8.19 | (853) ~ (all_12_10 = e11)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (66), (770) imply:
% 51.30/8.19 | (854) ~ (all_12_12 = e10)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (65), (768) imply:
% 51.30/8.19 | (855) ~ (all_12_12 = e11)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (63), (768), (770) imply:
% 51.30/8.19 | (856) ~ (e11 = e10)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (856) implies:
% 51.30/8.19 | (857) ~ (e11 = e10)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (62), (770) imply:
% 51.30/8.19 | (858) ~ (all_12_15 = e10)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (858) implies:
% 51.30/8.19 | (859) ~ (all_12_15 = e10)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (61), (768) imply:
% 51.30/8.19 | (860) ~ (all_12_15 = e11)
% 51.30/8.19 |
% 51.30/8.19 | SIMP: (860) implies:
% 51.30/8.19 | (861) ~ (all_12_15 = e11)
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (464), (798) imply:
% 51.30/8.19 | (862) h3(e11) = all_28_73
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (463), (531) imply:
% 51.30/8.19 | (863) h3(all_12_15) = all_28_75
% 51.30/8.19 |
% 51.30/8.19 | REDUCE: (462), (797) imply:
% 51.30/8.20 | (864) h3(e10) = all_28_77
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (461), (522) imply:
% 51.30/8.20 | (865) h3(all_12_12) = all_28_79
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (460), (518) imply:
% 51.30/8.20 | (866) h3(all_12_10) = all_28_81
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (459), (514) imply:
% 51.30/8.20 | (867) h3(all_12_11) = all_28_83
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (458), (796) imply:
% 51.30/8.20 | (868) h3(all_12_9) = all_28_85
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (457), (795) imply:
% 51.30/8.20 | (869) h3(all_12_8) = all_28_87
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (456), (794) imply:
% 51.30/8.20 | (870) h3(all_12_6) = all_28_89
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (455), (498) imply:
% 51.30/8.20 | (871) h3(all_12_7) = all_28_91
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (454), (494) imply:
% 51.30/8.20 | (872) h3(all_12_5) = all_28_93
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (453), (793) imply:
% 51.30/8.20 | (873) h3(all_12_4) = all_28_95
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (452), (486) imply:
% 51.30/8.20 | (874) h3(e12) = all_28_98
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (451), (792) imply:
% 51.30/8.20 | (875) h3(all_12_3) = all_28_101
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (450), (477) imply:
% 51.30/8.20 | (876) h3(all_12_1) = all_28_104
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (449), (790) imply:
% 51.30/8.20 | (877) h3(all_12_0) = all_28_107
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (437), (595) imply:
% 51.30/8.20 | (878) op2(e20, e20) = all_28_0
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (436), (594), (595) imply:
% 51.30/8.20 | (879) op2(e20, all_10_2) = all_28_2
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (435), (593), (595) imply:
% 51.30/8.20 | (880) op2(e20, all_10_1) = all_28_4
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (434), (594), (595) imply:
% 51.30/8.20 | (881) op2(all_10_2, e20) = all_28_8
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (433), (594) imply:
% 51.30/8.20 | (882) op2(all_10_2, all_10_2) = all_28_10
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (432), (593) imply:
% 51.30/8.20 | (883) op2(all_10_1, all_10_1) = all_28_20
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (431), (592), (595) imply:
% 51.30/8.20 | (884) op2(all_10_0, e20) = all_28_24
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (430), (598) imply:
% 51.30/8.20 | (885) op2(e21, e21) = all_28_36
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (429), (597), (598) imply:
% 51.30/8.20 | (886) op2(e21, all_4_1) = all_28_40
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (428), (596), (598) imply:
% 51.30/8.20 | (887) op2(e21, all_4_0) = all_28_42
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (427), (597), (598) imply:
% 51.30/8.20 | (888) op2(all_4_1, e21) = all_28_52
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (426), (597) imply:
% 51.30/8.20 | (889) op2(all_4_1, all_4_1) = all_28_56
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (425), (596) imply:
% 51.30/8.20 | (890) op2(all_4_0, all_4_0) = all_28_69
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (424), (602) imply:
% 51.30/8.20 | (891) op2(e22, e22) = all_28_72
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (423), (601), (602) imply:
% 51.30/8.20 | (892) op2(e22, all_6_2) = all_28_74
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (422), (600), (602) imply:
% 51.30/8.20 | (893) op2(e22, all_6_1) = all_28_76
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (421), (599), (602) imply:
% 51.30/8.20 | (894) op2(e22, all_6_0) = all_28_78
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (420), (601), (602) imply:
% 51.30/8.20 | (895) op2(all_6_2, e22) = all_28_80
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (419), (601) imply:
% 51.30/8.20 | (896) op2(all_6_2, all_6_2) = all_28_82
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (418), (600), (601) imply:
% 51.30/8.20 | (897) op2(all_6_2, all_6_1) = all_28_84
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (417), (599), (601) imply:
% 51.30/8.20 | (898) op2(all_6_2, all_6_0) = all_28_86
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (416), (600), (602) imply:
% 51.30/8.20 | (899) op2(all_6_1, e22) = all_28_88
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (415), (600), (601) imply:
% 51.30/8.20 | (900) op2(all_6_1, all_6_2) = all_28_90
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (414), (600) imply:
% 51.30/8.20 | (901) op2(all_6_1, all_6_1) = all_28_92
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (413), (599), (600) imply:
% 51.30/8.20 | (902) op2(all_6_1, all_6_0) = all_28_94
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (412), (599), (602) imply:
% 51.30/8.20 | (903) op2(all_6_0, e22) = all_28_96
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (411), (599), (601) imply:
% 51.30/8.20 | (904) op2(all_6_0, all_6_2) = all_28_99
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (410), (599), (600) imply:
% 51.30/8.20 | (905) op2(all_6_0, all_6_1) = all_28_102
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (409), (599) imply:
% 51.30/8.20 | (906) op2(all_6_0, all_6_0) = all_28_105
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (408), (606) imply:
% 51.30/8.20 | (907) op2(e23, e23) = all_28_108
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (407), (605), (606) imply:
% 51.30/8.20 | (908) op2(e23, all_8_2) = all_28_111
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (406), (606), (791) imply:
% 51.30/8.20 | (909) op2(e23, e21) = all_28_114
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (405), (603), (606) imply:
% 51.30/8.20 | (910) op2(e23, all_8_0) = all_28_117
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (404), (605), (606) imply:
% 51.30/8.20 | (911) op2(all_8_2, e23) = all_28_120
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (403), (605), (791) imply:
% 51.30/8.20 | (912) op2(all_8_2, e21) = all_28_126
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (402), (603), (605) imply:
% 51.30/8.20 | (913) op2(all_8_2, all_8_0) = all_28_129
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (401), (606), (791) imply:
% 51.30/8.20 | (914) op2(e21, e23) = all_28_132
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (400), (605), (791) imply:
% 51.30/8.20 | (915) op2(e21, all_8_2) = all_28_135
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (399), (791) imply:
% 51.30/8.20 | (916) op2(e21, e21) = all_28_138
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (398), (603), (791) imply:
% 51.30/8.20 | (917) op2(e21, all_8_0) = all_28_141
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (397), (603), (605) imply:
% 51.30/8.20 | (918) op2(all_8_0, all_8_2) = all_28_148
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (396), (603), (791) imply:
% 51.30/8.20 | (919) op2(all_8_0, e21) = all_28_152
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (395), (603) imply:
% 51.30/8.20 | (920) op2(all_8_0, all_8_0) = all_28_156
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (248), (732) imply:
% 51.30/8.20 | (921) op2(e21, e21) = all_18_0
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (247), (730) imply:
% 51.30/8.20 | (922) op2(all_14_15, all_14_15) = all_18_2
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (246), (693) imply:
% 51.30/8.20 | (923) op2(e20, e20) = all_18_4
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (245), (727) imply:
% 51.30/8.20 | (924) op2(all_14_12, all_14_12) = all_18_6
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (244), (726) imply:
% 51.30/8.20 | (925) op2(all_14_10, all_14_10) = all_18_8
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (243), (570) imply:
% 51.30/8.20 | (926) op2(all_6_1, all_6_1) = all_18_10
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (242), (722) imply:
% 51.30/8.20 | (927) op2(all_14_9, all_14_9) = all_18_12
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (241), (721) imply:
% 51.30/8.20 | (928) op2(all_14_8, all_14_8) = all_18_14
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (240), (719) imply:
% 51.30/8.20 | (929) op2(all_14_6, all_14_6) = all_18_16
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (239), (717) imply:
% 51.30/8.20 | (930) op2(all_14_7, all_14_7) = all_18_18
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (238), (554) imply:
% 51.30/8.20 | (931) op2(all_4_1, all_4_1) = all_18_20
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (237), (713) imply:
% 51.30/8.20 | (932) op2(all_14_4, all_14_4) = all_18_22
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (236), (711) imply:
% 51.30/8.20 | (933) op2(e22, e22) = all_18_24
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (235), (709) imply:
% 51.30/8.20 | (934) op2(all_14_3, all_14_3) = all_18_26
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (234), (707) imply:
% 51.30/8.20 | (935) op2(all_14_1, all_14_1) = all_18_28
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (233), (537) imply:
% 51.30/8.20 | (936) op2(all_10_1, all_10_1) = all_18_30
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (46), (773) imply:
% 51.30/8.20 | (937) op2(e23, e21) = all_8_0
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (214), (757) imply:
% 51.30/8.20 | (938) op1(e11, e11) = all_16_0
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (213), (755) imply:
% 51.30/8.20 | (939) op1(all_12_15, all_12_15) = all_16_2
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (212), (754) imply:
% 51.30/8.20 | (940) op1(e10, e10) = all_16_4
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (211), (752) imply:
% 51.30/8.20 | (941) op1(all_12_12, all_12_12) = all_16_6
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (210), (750) imply:
% 51.30/8.20 | (942) op1(all_12_10, all_12_10) = all_16_8
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (209), (747) imply:
% 51.30/8.20 | (943) op1(all_12_9, all_12_9) = all_16_12
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (208), (746) imply:
% 51.30/8.20 | (944) op1(all_12_8, all_12_8) = all_16_14
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (207), (745) imply:
% 51.30/8.20 | (945) op1(all_12_6, all_12_6) = all_16_16
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (206), (743) imply:
% 51.30/8.20 | (946) op1(all_12_7, all_12_7) = all_16_18
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (205), (742) imply:
% 51.30/8.20 | (947) op1(all_12_5, all_12_5) = all_16_20
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (204), (741) imply:
% 51.30/8.20 | (948) op1(all_12_4, all_12_4) = all_16_22
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (203), (739) imply:
% 51.30/8.20 | (949) op1(e12, e12) = all_16_24
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (202), (737) imply:
% 51.30/8.20 | (950) op1(all_12_3, all_12_3) = all_16_26
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (201), (735) imply:
% 51.30/8.20 | (951) op1(all_12_1, all_12_1) = all_16_28
% 51.30/8.20 |
% 51.30/8.20 | REDUCE: (200), (733) imply:
% 51.30/8.20 | (952) op1(all_12_0, all_12_0) = all_16_30
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (28) with all_12_0, all_16_4, e10, e10, simplifying
% 51.30/8.20 | with (103), (940) gives:
% 51.30/8.20 | (953) all_16_4 = all_12_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (28) with all_12_5, all_16_0, e11, e11, simplifying
% 51.30/8.20 | with (108), (938) gives:
% 51.30/8.20 | (954) all_16_0 = all_12_5
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (28) with all_12_11, all_16_24, e12, e12,
% 51.30/8.20 | simplifying with (113), (949) gives:
% 51.30/8.20 | (955) all_16_24 = all_12_11
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_10_1, all_28_0, e20, e20, simplifying
% 51.30/8.20 | with (53), (878) gives:
% 51.30/8.20 | (956) all_28_0 = all_10_1
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_18_4, all_28_0, e20, e20, simplifying
% 51.30/8.20 | with (878), (923) gives:
% 51.30/8.20 | (957) all_28_0 = all_18_4
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_10_0, all_28_4, all_10_1, e20,
% 51.30/8.20 | simplifying with (54), (880) gives:
% 51.30/8.20 | (958) all_28_4 = all_10_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_4_1, all_28_138, e21, e21,
% 51.30/8.20 | simplifying with (31), (916) gives:
% 51.30/8.20 | (959) all_28_138 = all_4_1
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_28_138, all_28_36, e21, e21,
% 51.30/8.20 | simplifying with (885), (916) gives:
% 51.30/8.20 | (960) all_28_36 = all_28_138
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_18_0, all_28_36, e21, e21,
% 51.30/8.20 | simplifying with (885), (921) gives:
% 51.30/8.20 | (961) all_28_36 = all_18_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_14_6, all_28_132, e23, e21,
% 51.30/8.20 | simplifying with (174), (914) gives:
% 51.30/8.20 | (962) all_28_132 = all_14_6
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_4_0, all_28_40, all_4_1, e21,
% 51.30/8.20 | simplifying with (32), (886) gives:
% 51.30/8.20 | (963) all_28_40 = all_4_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_6_1, all_28_72, e22, e22, simplifying
% 51.30/8.20 | with (37), (891) gives:
% 51.30/8.20 | (964) all_28_72 = all_6_1
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_18_24, all_28_72, e22, e22,
% 51.30/8.20 | simplifying with (891), (933) gives:
% 51.30/8.20 | (965) all_28_72 = all_18_24
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_6_0, all_28_76, all_6_1, e22,
% 51.30/8.20 | simplifying with (38), (893) gives:
% 51.30/8.20 | (966) all_28_76 = all_6_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with e20, all_28_114, e21, e23, simplifying
% 51.30/8.20 | with (17), (909) gives:
% 51.30/8.20 | (967) all_28_114 = e20
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_8_0, all_28_114, e21, e23,
% 51.30/8.20 | simplifying with (909), (937) gives:
% 51.30/8.20 | (968) all_28_114 = all_8_0
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with e21, all_28_108, e23, e23, simplifying
% 51.30/8.20 | with (18), (907) gives:
% 51.30/8.20 | (969) all_28_108 = e21
% 51.30/8.20 |
% 51.30/8.20 | GROUND_INST: instantiating (29) with all_18_20, all_28_56, all_4_1, all_4_1,
% 51.30/8.21 | simplifying with (889), (931) gives:
% 51.30/8.21 | (970) all_28_56 = all_18_20
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_18_10, all_28_92, all_6_1, all_6_1,
% 51.30/8.21 | simplifying with (901), (926) gives:
% 51.30/8.21 | (971) all_28_92 = all_18_10
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_6_2, all_28_96, e22, all_6_0,
% 51.30/8.21 | simplifying with (39), (903) gives:
% 51.30/8.21 | (972) all_28_96 = all_6_2
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_18_30, all_28_20, all_10_1, all_10_1,
% 51.30/8.21 | simplifying with (883), (936) gives:
% 51.30/8.21 | (973) all_28_20 = all_18_30
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_10_2, all_28_24, e20, all_10_0,
% 51.30/8.21 | simplifying with (55), (884) gives:
% 51.30/8.21 | (974) all_28_24 = all_10_2
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (26) with all_6_0, all_28_77, e10, simplifying with
% 51.30/8.21 | (40), (864) gives:
% 51.30/8.21 | (975) all_28_77 = all_6_0
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (26) with all_6_1, all_28_73, e11, simplifying with
% 51.30/8.21 | (41), (862) gives:
% 51.30/8.21 | (976) all_28_73 = all_6_1
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (26) with all_6_2, all_28_98, e12, simplifying with
% 51.30/8.21 | (42), (874) gives:
% 51.30/8.21 | (977) all_28_98 = all_6_2
% 51.30/8.21 |
% 51.30/8.21 | COMBINE_EQS: (956), (957) imply:
% 51.30/8.21 | (978) all_18_4 = all_10_1
% 51.30/8.21 |
% 51.30/8.21 | COMBINE_EQS: (960), (961) imply:
% 51.30/8.21 | (979) all_28_138 = all_18_0
% 51.30/8.21 |
% 51.30/8.21 | SIMP: (979) implies:
% 51.30/8.21 | (980) all_28_138 = all_18_0
% 51.30/8.21 |
% 51.30/8.21 | COMBINE_EQS: (964), (965) imply:
% 51.30/8.21 | (981) all_18_24 = all_6_1
% 51.30/8.21 |
% 51.30/8.21 | COMBINE_EQS: (967), (968) imply:
% 51.30/8.21 | (982) all_8_0 = e20
% 51.30/8.21 |
% 51.30/8.21 | COMBINE_EQS: (959), (980) imply:
% 51.30/8.21 | (983) all_18_0 = all_4_1
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (920), (982) imply:
% 51.30/8.21 | (984) op2(e20, e20) = all_28_156
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (918), (982) imply:
% 51.30/8.21 | (985) op2(e20, all_8_2) = all_28_148
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (47), (982) imply:
% 51.30/8.21 | (986) op2(e20, e23) = all_8_2
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (919), (982) imply:
% 51.30/8.21 | (987) op2(e20, e21) = all_28_152
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (913), (982) imply:
% 51.30/8.21 | (988) op2(all_8_2, e20) = all_28_129
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (910), (982) imply:
% 51.30/8.21 | (989) op2(e23, e20) = all_28_117
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (917), (982) imply:
% 51.30/8.21 | (990) op2(e21, e20) = all_28_141
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_10_1, all_28_156, e20, e20,
% 51.30/8.21 | simplifying with (53), (984) gives:
% 51.30/8.21 | (991) all_28_156 = all_10_1
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_1, all_28_152, e21, e20,
% 51.30/8.21 | simplifying with (168), (987) gives:
% 51.30/8.21 | (992) all_28_152 = all_14_1
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with e22, all_8_2, e23, e20, simplifying with
% 51.30/8.21 | (16), (986) gives:
% 51.30/8.21 | (993) all_8_2 = e22
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_4, all_28_141, e20, e21,
% 51.30/8.21 | simplifying with (171), (990) gives:
% 51.30/8.21 | (994) all_28_141 = all_14_4
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_12, all_28_117, e20, e23,
% 51.30/8.21 | simplifying with (179), (989) gives:
% 51.30/8.21 | (995) all_28_117 = all_14_12
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (911), (993) imply:
% 51.30/8.21 | (996) op2(e22, e23) = all_28_120
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (912), (993) imply:
% 51.30/8.21 | (997) op2(e22, e21) = all_28_126
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (988), (993) imply:
% 51.30/8.21 | (998) op2(e22, e20) = all_28_129
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (908), (993) imply:
% 51.30/8.21 | (999) op2(e23, e22) = all_28_111
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (915), (993) imply:
% 51.30/8.21 | (1000) op2(e21, e22) = all_28_135
% 51.30/8.21 |
% 51.30/8.21 | REDUCE: (985), (993) imply:
% 51.30/8.21 | (1001) op2(e20, e22) = all_28_148
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_3, all_28_148, e22, e20,
% 51.30/8.21 | simplifying with (169), (1001) gives:
% 51.30/8.21 | (1002) all_28_148 = all_14_3
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_7, all_28_135, e22, e21,
% 51.30/8.21 | simplifying with (173), (1000) gives:
% 51.30/8.21 | (1003) all_28_135 = all_14_7
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_8, all_28_129, e20, e22,
% 51.30/8.21 | simplifying with (175), (998) gives:
% 51.30/8.21 | (1004) all_28_129 = all_14_8
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_9, all_28_126, e21, e22,
% 51.30/8.21 | simplifying with (176), (997) gives:
% 51.30/8.21 | (1005) all_28_126 = all_14_9
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_10, all_28_120, e23, e22,
% 51.30/8.21 | simplifying with (178), (996) gives:
% 51.30/8.21 | (1006) all_28_120 = all_14_10
% 51.30/8.21 |
% 51.30/8.21 | GROUND_INST: instantiating (29) with all_14_15, all_28_111, e22, e23,
% 51.30/8.21 | simplifying with (181), (999) gives:
% 51.30/8.21 | (1007) all_28_111 = all_14_15
% 51.30/8.21 |
% 51.30/8.21 | BETA: splitting (268) gives:
% 51.30/8.21 |
% 51.30/8.21 | Case 1:
% 51.30/8.21 | |
% 51.30/8.21 | | (1008) all_20_12 = e13
% 51.30/8.21 | |
% 51.30/8.21 | | COMBINE_EQS: (662), (1008) imply:
% 51.30/8.21 | | (1009) all_12_12 = e13
% 51.30/8.21 | |
% 51.30/8.21 | | SIMP: (1009) implies:
% 51.30/8.21 | | (1010) all_12_12 = e13
% 51.30/8.21 | |
% 51.30/8.21 | | COMBINE_EQS: (615), (1010) imply:
% 51.30/8.21 | | (1011) all_26_11 = e13
% 51.30/8.21 | |
% 51.30/8.21 | | REDUCE: (98), (1010) imply:
% 51.30/8.21 | | (1012) ~ (all_12_0 = e13)
% 51.30/8.21 | |
% 51.30/8.21 | | REDUCE: (64), (1010) imply:
% 51.30/8.21 | | (1013) ~ (all_12_15 = e13)
% 51.30/8.21 | |
% 51.30/8.21 | | SIMP: (1013) implies:
% 51.30/8.21 | | (1014) ~ (all_12_15 = e13)
% 51.30/8.21 | |
% 51.30/8.21 | | REDUCE: (865), (1010) imply:
% 51.30/8.21 | | (1015) h3(e13) = all_28_79
% 51.30/8.21 | |
% 51.30/8.21 | | REDUCE: (941), (1010) imply:
% 51.30/8.21 | | (1016) op1(e13, e13) = all_16_6
% 51.30/8.21 | |
% 51.30/8.21 | | BETA: splitting (267) gives:
% 51.30/8.21 | |
% 51.30/8.21 | | Case 1:
% 51.30/8.21 | | |
% 51.30/8.21 | | | (1017) all_20_14 = e13
% 51.30/8.21 | | |
% 51.30/8.21 | | | COMBINE_EQS: (659), (1017) imply:
% 51.30/8.21 | | | (1018) all_12_15 = e13
% 51.30/8.21 | | |
% 51.30/8.21 | | | SIMP: (1018) implies:
% 51.30/8.21 | | | (1019) all_12_15 = e13
% 51.30/8.21 | | |
% 51.30/8.21 | | | REDUCE: (1014), (1019) imply:
% 51.30/8.21 | | | (1020) $false
% 51.30/8.21 | | |
% 51.30/8.21 | | | CLOSE: (1020) is inconsistent.
% 51.30/8.21 | | |
% 51.30/8.21 | | Case 2:
% 51.30/8.21 | | |
% 51.30/8.21 | | | (1021) all_20_14 = e12 | all_20_14 = e11 | all_20_14 = e10
% 51.30/8.21 | | |
% 51.30/8.21 | | | BETA: splitting (1021) gives:
% 51.30/8.21 | | |
% 51.30/8.21 | | | Case 1:
% 51.30/8.21 | | | |
% 51.30/8.21 | | | | (1022) all_20_14 = e11
% 51.30/8.21 | | | |
% 51.30/8.21 | | | | REF_CLOSE: (659), (861), (1022) are inconsistent by sub-proof #63.
% 51.30/8.21 | | | |
% 51.30/8.21 | | | Case 2:
% 51.30/8.21 | | | |
% 51.30/8.21 | | | | (1023) ~ (all_20_14 = e11)
% 51.30/8.21 | | | | (1024) all_20_14 = e12 | all_20_14 = e10
% 51.30/8.21 | | | |
% 51.30/8.21 | | | | BETA: splitting (1024) gives:
% 51.30/8.21 | | | |
% 51.30/8.21 | | | | Case 1:
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | (1025) all_20_14 = e10
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | REF_CLOSE: (659), (859), (1025) are inconsistent by sub-proof #62.
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | Case 2:
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | (1026) all_20_14 = e12
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | COMBINE_EQS: (659), (1026) imply:
% 51.30/8.21 | | | | | (1027) all_12_15 = e12
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | SIMP: (1027) implies:
% 51.30/8.21 | | | | | (1028) all_12_15 = e12
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | REDUCE: (89), (1028) imply:
% 51.30/8.21 | | | | | (1029) ~ (all_12_3 = e12)
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | REDUCE: (76), (1028) imply:
% 51.30/8.21 | | | | | (1030) ~ (all_12_7 = e12)
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | REDUCE: (861), (1028) imply:
% 51.30/8.21 | | | | | (1031) ~ (e12 = e11)
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | REDUCE: (863), (1028) imply:
% 51.30/8.21 | | | | | (1032) h3(e12) = all_28_75
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | GROUND_INST: instantiating (28) with e11, all_16_6, e13, e13,
% 51.30/8.21 | | | | | simplifying with (15), (1016) gives:
% 51.30/8.21 | | | | | (1033) all_16_6 = e11
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | GROUND_INST: instantiating (26) with all_6_2, all_28_75, e12,
% 51.30/8.21 | | | | | simplifying with (42), (1032) gives:
% 51.30/8.21 | | | | | (1034) all_28_75 = all_6_2
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | GROUND_INST: instantiating (26) with e22, all_28_79, e13, simplifying
% 51.30/8.21 | | | | | with (43), (1015) gives:
% 51.30/8.21 | | | | | (1035) all_28_79 = e22
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | BETA: splitting (215) gives:
% 51.30/8.21 | | | | |
% 51.30/8.21 | | | | | Case 1:
% 51.30/8.21 | | | | | |
% 51.30/8.21 | | | | | | (1036) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 &
% 51.30/8.21 | | | | | | all_16_6 = e10) | (all_16_8 = e13 & all_16_10 = e12 &
% 51.30/8.21 | | | | | | all_16_12 = e11 & all_16_14 = e10)
% 51.30/8.21 | | | | | |
% 51.30/8.21 | | | | | | BETA: splitting (1036) gives:
% 51.30/8.21 | | | | | |
% 51.30/8.21 | | | | | | Case 1:
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | (1037) all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 &
% 51.30/8.21 | | | | | | | all_16_6 = e10
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | ALPHA: (1037) implies:
% 51.30/8.21 | | | | | | | (1038) all_16_6 = e10
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | COMBINE_EQS: (1033), (1038) imply:
% 51.30/8.21 | | | | | | | (1039) e11 = e10
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | SIMP: (1039) implies:
% 51.30/8.21 | | | | | | | (1040) e11 = e10
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | REDUCE: (857), (1040) imply:
% 51.30/8.21 | | | | | | | (1041) $false
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | | CLOSE: (1041) is inconsistent.
% 51.30/8.21 | | | | | | |
% 51.30/8.21 | | | | | | Case 2:
% 51.30/8.21 | | | | | | |
% 51.30/8.22 | | | | | | | (1042) all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 &
% 51.30/8.22 | | | | | | | all_16_14 = e10
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | ALPHA: (1042) implies:
% 51.30/8.22 | | | | | | | (1043) all_16_8 = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (942), (1043) imply:
% 51.30/8.22 | | | | | | | (1044) op1(all_12_10, all_12_10) = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | BETA: splitting (273) gives:
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1045) all_20_7 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | COMBINE_EQS: (669), (1045) imply:
% 51.30/8.22 | | | | | | | | (1046) all_12_6 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | SIMP: (1046) implies:
% 51.30/8.22 | | | | | | | | (1047) all_12_6 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | REDUCE: (78), (1047) imply:
% 51.30/8.22 | | | | | | | | (1048) ~ (all_12_10 = e13)
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | SIMP: (1048) implies:
% 51.30/8.22 | | | | | | | | (1049) ~ (all_12_10 = e13)
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | BETA: splitting (269) gives:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1050) all_20_11 = e13
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | REF_CLOSE: (667), (1049), (1050) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | #61.
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1051) all_20_11 = e12 | all_20_11 = e11 | all_20_11 = e10
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | BETA: splitting (1051) gives:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1052) all_20_11 = e11
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REF_CLOSE: (667), (853), (1052) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | #60.
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1053) all_20_11 = e12 | all_20_11 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | BETA: splitting (1053) gives:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | (1054) all_20_11 = e10
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | COMBINE_EQS: (667), (1054) imply:
% 51.30/8.22 | | | | | | | | | | | (1055) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | SIMP: (1055) implies:
% 51.30/8.22 | | | | | | | | | | | (1056) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | REDUCE: (1044), (1056) imply:
% 51.30/8.22 | | | | | | | | | | | (1057) op1(e10, e10) = e13
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | REF_CLOSE: (28), (103), (1012), (1057) are inconsistent by
% 51.30/8.22 | | | | | | | | | | | sub-proof #59.
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | (1058) all_20_11 = e12
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | REF_CLOSE: (667), (850), (1058) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | | #58.
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | End of split
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1059) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | BETA: splitting (1059) gives:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1060) all_20_7 = e11
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | REF_CLOSE: (669), (852), (1060) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | #57.
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1061) all_20_7 = e12 | all_20_7 = e10
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | BETA: splitting (1061) gives:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1062) all_20_7 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | COMBINE_EQS: (669), (1062) imply:
% 51.30/8.22 | | | | | | | | | | (1063) all_12_6 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | SIMP: (1063) implies:
% 51.30/8.22 | | | | | | | | | | (1064) all_12_6 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (78), (1064) imply:
% 51.30/8.22 | | | | | | | | | | (1065) ~ (all_12_10 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | SIMP: (1065) implies:
% 51.30/8.22 | | | | | | | | | | (1066) ~ (all_12_10 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | BETA: splitting (269) gives:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | (1067) all_20_11 = e13
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | REF_CLOSE: (15), (28), (667), (853), (1044), (1067) are
% 51.30/8.22 | | | | | | | | | | | inconsistent by sub-proof #55.
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | (1068) all_20_11 = e12 | all_20_11 = e11 | all_20_11 =
% 51.30/8.22 | | | | | | | | | | | e10
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | BETA: splitting (1068) gives:
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | (1069) all_20_11 = e11
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | REF_CLOSE: (667), (853), (1069) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | | | #60.
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | (1070) all_20_11 = e12 | all_20_11 = e10
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | BETA: splitting (1070) gives:
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | (1071) all_20_11 = e10
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | COMBINE_EQS: (667), (1071) imply:
% 51.30/8.22 | | | | | | | | | | | | | (1072) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | SIMP: (1072) implies:
% 51.30/8.22 | | | | | | | | | | | | | (1073) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | REDUCE: (1066), (1073) imply:
% 51.30/8.22 | | | | | | | | | | | | | (1074) $false
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | CLOSE: (1074) is inconsistent.
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | (1075) all_20_11 = e12
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | | REF_CLOSE: (667), (850), (1075) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | | | | #58.
% 51.30/8.22 | | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1076) all_20_7 = e12
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REF_CLOSE: (669), (848), (1076) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | #54.
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | End of split
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | End of split
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | End of split
% 51.30/8.22 | | | | | |
% 51.30/8.22 | | | | | Case 2:
% 51.30/8.22 | | | | | |
% 51.30/8.22 | | | | | | (1077) (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.30/8.22 | | | | | | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 &
% 51.30/8.22 | | | | | | all_16_28 = e11 & all_16_30 = e10)
% 51.30/8.22 | | | | | |
% 51.30/8.22 | | | | | | BETA: splitting (1077) gives:
% 51.30/8.22 | | | | | |
% 51.30/8.22 | | | | | | Case 1:
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | (1078) all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.30/8.22 | | | | | | | all_16_22 = e10
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | ALPHA: (1078) implies:
% 51.30/8.22 | | | | | | | (1079) all_16_16 = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (945), (1079) imply:
% 51.30/8.22 | | | | | | | (1080) op1(all_12_6, all_12_6) = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | BETA: splitting (273) gives:
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1081) all_20_7 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | COMBINE_EQS: (669), (1081) imply:
% 51.30/8.22 | | | | | | | | (1082) all_12_6 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | SIMP: (1082) implies:
% 51.30/8.22 | | | | | | | | (1083) all_12_6 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | REDUCE: (852), (1083) imply:
% 51.30/8.22 | | | | | | | | (1084) ~ (e13 = e11)
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | REDUCE: (1080), (1083) imply:
% 51.30/8.22 | | | | | | | | (1085) op1(e13, e13) = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | REF_CLOSE: (15), (28), (1084), (1085) are inconsistent by
% 51.30/8.22 | | | | | | | | sub-proof #56.
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1086) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | BETA: splitting (1086) gives:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1087) all_20_7 = e11
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | REF_CLOSE: (669), (852), (1087) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | #57.
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1088) all_20_7 = e12 | all_20_7 = e10
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | BETA: splitting (1088) gives:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1089) all_20_7 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | COMBINE_EQS: (669), (1089) imply:
% 51.30/8.22 | | | | | | | | | | (1090) all_12_6 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | SIMP: (1090) implies:
% 51.30/8.22 | | | | | | | | | | (1091) all_12_6 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (1080), (1091) imply:
% 51.30/8.22 | | | | | | | | | | (1092) op1(e10, e10) = e13
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REF_CLOSE: (28), (103), (1012), (1092) are inconsistent by
% 51.30/8.22 | | | | | | | | | | sub-proof #59.
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1093) all_20_7 = e12
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REF_CLOSE: (669), (848), (1093) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | | #54.
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | End of split
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | End of split
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | End of split
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | Case 2:
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | (1094) all_16_24 = e13 & all_16_26 = e12 & all_16_28 = e11 &
% 51.30/8.22 | | | | | | | all_16_30 = e10
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | ALPHA: (1094) implies:
% 51.30/8.22 | | | | | | | (1095) all_16_30 = e10
% 51.30/8.22 | | | | | | | (1096) all_16_26 = e12
% 51.30/8.22 | | | | | | | (1097) all_16_24 = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | COMBINE_EQS: (955), (1097) imply:
% 51.30/8.22 | | | | | | | (1098) all_12_11 = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | COMBINE_EQS: (619), (1098) imply:
% 51.30/8.22 | | | | | | | (1099) all_26_6 = e13
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (73), (1098) imply:
% 51.30/8.22 | | | | | | | (1100) ~ (all_12_8 = e13)
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (70), (1098) imply:
% 51.30/8.22 | | | | | | | (1101) ~ (all_12_9 = e13)
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (69), (1098) imply:
% 51.30/8.22 | | | | | | | (1102) ~ (all_12_10 = e13)
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (867), (1098) imply:
% 51.30/8.22 | | | | | | | (1103) h3(e13) = all_28_83
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (952), (1095) imply:
% 51.30/8.22 | | | | | | | (1104) op1(all_12_0, all_12_0) = e10
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | REDUCE: (950), (1096) imply:
% 51.30/8.22 | | | | | | | (1105) op1(all_12_3, all_12_3) = e12
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | BETA: splitting (269) gives:
% 51.30/8.22 | | | | | | |
% 51.30/8.22 | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1106) all_20_11 = e13
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | REF_CLOSE: (667), (1102), (1106) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | #61.
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | (1107) all_20_11 = e12 | all_20_11 = e11 | all_20_11 = e10
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | BETA: splitting (1107) gives:
% 51.30/8.22 | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1108) all_20_11 = e11
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | REF_CLOSE: (667), (853), (1108) are inconsistent by sub-proof
% 51.30/8.22 | | | | | | | | | #60.
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | Case 2:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | (1109) ~ (all_20_11 = e11)
% 51.30/8.22 | | | | | | | | | (1110) all_20_11 = e12 | all_20_11 = e10
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | BETA: splitting (1110) gives:
% 51.30/8.22 | | | | | | | | |
% 51.30/8.22 | | | | | | | | | Case 1:
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | (1111) all_20_11 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | COMBINE_EQS: (667), (1111) imply:
% 51.30/8.22 | | | | | | | | | | (1112) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | SIMP: (1112) implies:
% 51.30/8.22 | | | | | | | | | | (1113) all_12_10 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | COMBINE_EQS: (617), (1113) imply:
% 51.30/8.22 | | | | | | | | | | (1114) all_26_13 = e10
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (78), (1113) imply:
% 51.30/8.22 | | | | | | | | | | (1115) ~ (all_12_6 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (74), (1113) imply:
% 51.30/8.22 | | | | | | | | | | (1116) ~ (all_12_8 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (71), (1113) imply:
% 51.30/8.22 | | | | | | | | | | (1117) ~ (all_12_9 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | REDUCE: (850), (1113) imply:
% 51.30/8.22 | | | | | | | | | | (1118) ~ (e12 = e10)
% 51.30/8.22 | | | | | | | | | |
% 51.30/8.22 | | | | | | | | | | SIMP: (1118) implies:
% 51.30/8.22 | | | | | | | | | | (1119) ~ (e12 = e10)
% 51.30/8.23 | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | REDUCE: (866), (1113) imply:
% 51.30/8.23 | | | | | | | | | | (1120) h3(e10) = all_28_81
% 51.30/8.23 | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | REDUCE: (942), (1113) imply:
% 51.30/8.23 | | | | | | | | | | (1121) op1(e10, e10) = all_16_8
% 51.30/8.23 | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | BETA: splitting (273) gives:
% 51.30/8.23 | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | (1122) all_20_7 = e13
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | COMBINE_EQS: (669), (1122) imply:
% 51.30/8.23 | | | | | | | | | | | (1123) all_12_6 = e13
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | SIMP: (1123) implies:
% 51.30/8.23 | | | | | | | | | | | (1124) all_12_6 = e13
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | COMBINE_EQS: (500), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1125) all_26_14 = e13
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (87), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1126) ~ (all_12_4 = e13)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (83), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1127) ~ (all_12_5 = e13)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (79), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1128) ~ (all_12_7 = e13)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | SIMP: (1128) implies:
% 51.30/8.23 | | | | | | | | | | | (1129) ~ (all_12_7 = e13)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (852), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1130) ~ (e13 = e11)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (1115), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1131) ~ (e13 = e10)
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | REDUCE: (870), (1124) imply:
% 51.30/8.23 | | | | | | | | | | | (1132) h3(e13) = all_28_89
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | BETA: splitting (370) gives:
% 51.30/8.23 | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | (1133) all_26_2 = e13
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | COMBINE_EQS: (629), (1133) imply:
% 51.30/8.23 | | | | | | | | | | | | (1134) all_12_5 = e13
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | SIMP: (1134) implies:
% 51.30/8.23 | | | | | | | | | | | | (1135) all_12_5 = e13
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | REDUCE: (1127), (1135) imply:
% 51.30/8.23 | | | | | | | | | | | | (1136) $false
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | CLOSE: (1136) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | (1137) all_26_3 = e13 | all_26_4 = e13 | all_26_10 = e13
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | BETA: splitting (1137) gives:
% 51.30/8.23 | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | (1138) all_26_3 = e13
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | COMBINE_EQS: (637), (1138) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1139) all_12_1 = e13
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | SIMP: (1139) implies:
% 51.30/8.23 | | | | | | | | | | | | | (1140) all_12_1 = e13
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | REDUCE: (96), (1140) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1141) ~ (all_12_3 = e13)
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | SIMP: (1141) implies:
% 51.30/8.23 | | | | | | | | | | | | | (1142) ~ (all_12_3 = e13)
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | REDUCE: (95), (1140) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1143) ~ (all_12_5 = e13)
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | REDUCE: (94), (1140) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1144) ~ (all_12_9 = e13)
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | REDUCE: (845), (1140) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1145) ~ (e13 = e12)
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | REDUCE: (876), (1140) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1146) h3(e13) = all_28_104
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_0, all_16_8, e10,
% 51.30/8.23 | | | | | | | | | | | | | e10, simplifying with (103), (1121) gives:
% 51.30/8.23 | | | | | | | | | | | | | (1147) all_16_8 = all_12_0
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_6_0, all_28_81, e10,
% 51.30/8.23 | | | | | | | | | | | | | simplifying with (40), (1120) gives:
% 51.30/8.23 | | | | | | | | | | | | | (1148) all_28_81 = all_6_0
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_89, e13,
% 51.30/8.23 | | | | | | | | | | | | | simplifying with (43), (1132) gives:
% 51.30/8.23 | | | | | | | | | | | | | (1149) all_28_89 = e22
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_89, all_28_83, e13,
% 51.30/8.23 | | | | | | | | | | | | | simplifying with (1103), (1132) gives:
% 51.30/8.23 | | | | | | | | | | | | | (1150) all_28_83 = all_28_89
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_104, all_28_83,
% 51.30/8.23 | | | | | | | | | | | | | e13, simplifying with (1103), (1146) gives:
% 51.30/8.23 | | | | | | | | | | | | | (1151) all_28_83 = all_28_104
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | COMBINE_EQS: (1150), (1151) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1152) all_28_89 = all_28_104
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | SIMP: (1152) implies:
% 51.30/8.23 | | | | | | | | | | | | | (1153) all_28_89 = all_28_104
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | COMBINE_EQS: (1149), (1153) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1154) all_28_104 = e22
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | SIMP: (1154) implies:
% 51.30/8.23 | | | | | | | | | | | | | (1155) all_28_104 = e22
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | COMBINE_EQS: (1151), (1155) imply:
% 51.30/8.23 | | | | | | | | | | | | | (1156) all_28_83 = e22
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | BETA: splitting (277) gives:
% 51.30/8.23 | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | (1157) all_20_2 = e13
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (656), (1157) imply:
% 51.30/8.23 | | | | | | | | | | | | | | (1158) all_12_3 = e13
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | SIMP: (1158) implies:
% 51.30/8.23 | | | | | | | | | | | | | | (1159) all_12_3 = e13
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | REDUCE: (1142), (1159) imply:
% 51.30/8.23 | | | | | | | | | | | | | | (1160) $false
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | CLOSE: (1160) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | (1161) ~ (all_20_2 = e13)
% 51.30/8.23 | | | | | | | | | | | | | | (1162) all_20_2 = e12 | all_20_2 = e11 | all_20_2 = e10
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 51.30/8.23 | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | (1163) all_20_0 = e13
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1163) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | (1164) all_12_0 = e13
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | REDUCE: (1012), (1164) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | (1165) $false
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | CLOSE: (1165) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | (1166) ~ (all_20_0 = e13)
% 51.30/8.23 | | | | | | | | | | | | | | | (1167) all_20_0 = e12 | all_20_0 = e11 | all_20_0 = e10
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 51.30/8.23 | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | (1168) all_20_6 = e13
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1168) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | (1169) all_12_7 = e13
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | REDUCE: (1129), (1169) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | (1170) $false
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | CLOSE: (1170) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | (1171) all_20_6 = e12 | all_20_6 = e11 | all_20_6 = e10
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | (1172) all_20_8 = e13
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1100), (1172) are inconsistent by
% 51.30/8.23 | | | | | | | | | | | | | | | | | sub-proof #53.
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | (1173) ~ (all_20_8 = e13)
% 51.30/8.23 | | | | | | | | | | | | | | | | | (1174) all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1175) all_22_14 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1175) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1176) all_14_15 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | SIMP: (1176) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1177) all_14_15 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1178) all_24_9 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (150), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1179) ~ (all_14_3 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (136), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1180) ~ (all_14_7 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (123), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1181) ~ (all_14_12 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (836), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1182) ~ (all_6_1 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | SIMP: (1182) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1183) ~ (all_6_1 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (922), (1177) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | (1184) op2(e23, e23) = all_18_2
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | (1185) all_24_9 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1178), (1185) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | (1186) e23 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1186) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | (1187) $false
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | CLOSE: (1187) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | (1188) all_24_10 = e22 | all_24_11 = e22 | all_24_12 =
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (1188) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | (1189) all_24_10 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1189) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | (1190) e22 = e20
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1190) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | (1191) $false
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | (1192) all_24_11 = e22 | all_24_12 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1192) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1193) all_24_11 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (779), (1193) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1194) all_14_12 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (1194) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1195) all_14_12 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1195) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1196) ~ (all_14_4 = e22)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1195) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1197) ~ (all_14_8 = e22)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1195) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1198) ~ (all_10_1 = e22)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (1198) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1199) ~ (all_10_1 = e22)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1181), (1195) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1200) ~ (e23 = e22)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_2, e23, e23,
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1184) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | (1201) all_18_2 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | (1202) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | & all_18_6 = e20) | (all_18_8 = e23 & all_18_10
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | = e22 & all_18_12 = e21 & all_18_14 = e20)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1203) all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 &
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | all_18_6 = e20
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1204) all_18_2 = e22
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1201), (1204) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1205) e22 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1206) e22 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1206) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1207) $false
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1207) is inconsistent.
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1208) all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | & all_18_14 = e20
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1208) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1209) all_18_14 = e20
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1210) all_18_8 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1209) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1211) op2(all_14_8, all_14_8) = e20
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1210) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | (1212) op2(all_14_10, all_14_10) = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_22_1 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1213) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_14_1 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1214) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_14_1 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1215) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1216) ~ (all_14_9 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1217) ~ (all_14_9 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1215) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1218) ~ (all_10_1 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1218) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_10_1 = e23)
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (1215) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1220) op2(e23, e23) = all_18_28
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_28, e23, e23,
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1220) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_18_28 = e21
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_22_7 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1222) imply:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_14_6 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1223) implies:
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_14_6 = e23
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1224) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_14_4 = e23)
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (1224) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1226) op2(e23, e23) = all_18_16
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_24_4 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (784), (1217), (1227) are inconsistent by
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_24_5 = e23 | all_24_6 = e23 | all_24_13 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_24_5 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (1229) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_14_8 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1230) implies:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_14_8 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1231) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) op2(e23, e23) = e20
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_16, e23, e23,
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1226) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_18_16 = e21
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_18_16, e23, e23,
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1226), (1232) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_18_16 = e20
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1233), (1234) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) e21 = e20
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1235) implies:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) e21 = e20
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1236) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) $false
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1237) is inconsistent.
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) ~ (all_24_5 = e23)
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1238) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) ~ (all_14_8 = e23)
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1193), (1219),
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225), (1239) are inconsistent by sub-proof #50.
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1240) ~ (all_22_7 = e23)
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1240) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1242) ~ (all_14_6 = e23)
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_24_12 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (591), (1243) are inconsistent by sub-proof
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | #49.
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_24_13 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1245) imply:
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_14_10 = e23
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.30/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1246) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_14_10 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1247) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ~ (all_14_8 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1212), (1247) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) op2(e23, e23) = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_24_1 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1250) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_14_4 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1251) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_14_4 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (932), (1252) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) op2(e23, e23) = all_18_22
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_22, e23, e23,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1253) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_18_22 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_22, e23, e23,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1249), (1253) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_18_22 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1254), (1255) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) e23 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1256) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) $false
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1257) is inconsistent.
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ~ (all_24_1 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1258) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_14_4 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1193), (1219),
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248), (1259) are inconsistent by sub-proof #50.
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_24_14 = e23 | all_24_15 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (550), (561), (777), (815), (828), (1241),
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242), (1260) are inconsistent by sub-proof #44.
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | (1261) ~ (all_22_1 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_22_1 = e22 | all_22_1 = e21 | all_22_1 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1261) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | (1263) ~ (all_14_1 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1262) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_22_1 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1264) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_14_1 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1265) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_14_1 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1266) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_14_3 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1267) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_14_3 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1266) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1269) ~ (all_10_1 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1269) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_10_1 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1266) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_4_1 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1271) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_4_1 = e21)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (1266) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | (1273) op2(e21, e21) = all_18_28
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_22_2 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1274) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_14_3 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1275) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) $false
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1276) is inconsistent.
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_22_2 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_22_2 = e22 | all_22_2 = e21 | all_22_2 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_24_0 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (1279) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_10_1 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_10_1 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1281) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) ~ (all_14_4 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1281) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) ~ (all_14_8 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1281) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) op2(e20, e23) = all_10_0
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1281) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) op2(e20, e20) = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_22_2 = e21
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1268), (1286) are inconsistent by
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_22_2 = e22 | all_22_2 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1287) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_22_2 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1288) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_14_3 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1289) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_14_3 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (1290) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_24_8 = e20
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1290) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_6_1 = e20)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1292) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_6_1 = e20)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1290) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (e23 = e20)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (1290) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) op2(e20, e20) = all_18_26
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_26, e20, e20,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1285), (1295) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_18_26 = e23
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_10_0, e23, e20,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1284) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_10_0 = e22
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_1, all_18_28, e21,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (31), (1273) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_18_28 = all_4_1
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1297) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) op2(e22, e20) = all_10_2
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_8, all_10_2, e20,
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (175), (1299) gives:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_14_8 = all_10_2
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_22_8 = all_10_2
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_24_5 = all_10_2
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) ~ (all_14_4 = all_10_2)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) ~ (all_14_9 = all_10_2)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1304) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_14_9 = all_10_2)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) ~ (all_14_10 = all_10_2)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1306) implies:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) ~ (all_14_10 = all_10_2)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) ~ (all_10_2 = all_6_1)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1283), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (all_10_2 = e23)
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1197), (1300) imply:
% 51.68/8.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (all_10_2 = e22)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1300) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) op2(all_10_2, all_10_2) = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_10, e20, all_10_2,
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, simplifying with (882), (1311) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_28_10 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_22_11 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1313) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_14_10 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1314) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_24_13 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1314) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ~ (all_14_6 = e23)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_22_7 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (561), (1316), (1317) are inconsistent by
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) ~ (all_22_7 = e23)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_24_4 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (784), (832), (1320) are inconsistent by sub-proof
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_24_5 = e20 | all_24_6 = e20 | all_24_13 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1321) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_24_5 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1302), (1322) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_10_2 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1323) implies:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_10_2 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1303), (1324) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) ~ (all_14_4 = e20)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (1324) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) op2(e20, e20) = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (881), (1324) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) op2(e20, e20) = all_28_8
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (1324) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) op2(e20, e20) = all_28_2
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_22_4 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1282), (1329) are inconsistent by
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) ~ (all_22_4 = e23)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_22_4 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1332) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_14_4 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1333) implies:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_14_4 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1334) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_14_6 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1334) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) ~ (all_14_7 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1336) implies:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) ~ (all_14_7 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1282), (1334) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) ~ (e23 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_22_6 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1339) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_14_7 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1180), (1340) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) $false
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1341) is inconsistent.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) ~ (all_22_6 = e23)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_22_6 = e22 | all_22_6 = e21 | all_22_6 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_22_7 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1344) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_14_6 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1345) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) $false
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1346) is inconsistent.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) ~ (all_22_7 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_22_7 = e22 | all_22_7 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_22_7 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1349) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_14_6 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1350) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_14_7 = e20)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1351) implies:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_14_7 = e20)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (1350) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) op2(e20, e20) = all_18_16
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1343) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_22_6 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1354) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_14_7 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1337), (1355) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) $false
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) ~ (all_22_6 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_22_6 = e22 | all_22_6 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_22_6 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1359) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_14_7 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1352), (1360) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) $false
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1361) is inconsistent.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_22_6 = e22
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1362) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_14_7 = e22
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1363) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_24_7 = e22
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_22_10 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (774), (1183), (1365) are inconsistent by
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) ~ (all_22_10 = e23)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_22_10 = e22 | all_22_10 = e21 | all_22_10 =
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_22_10 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1368) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_6_1 = e21
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_8, e20, e20,
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1285), (1327) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_28_8 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_18_16, all_28_8, e20,
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1327), (1353) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_28_8 = all_18_16
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_8, all_28_2, e20,
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1327), (1328) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_28_2 = all_28_8
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_2, e20, e20,
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1326), (1328) gives:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_28_2 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1372), (1373) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_28_8 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1374) implies:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_28_8 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1370), (1371) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_18_16 = e23
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1371), (1375) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_18_16 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1376), (1377) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) e23 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815), (1315), (1316), (1348), (1378) are
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) ~ (all_22_10 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1379) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_6_1 = e21)
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (331), (782), (818), (840), (1178), (1291),
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364), (1380) are inconsistent by sub-proof #35.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_22_7 = e22
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1381) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_14_6 = e22
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1382) imply:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) $false
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1383) is inconsistent.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_22_4 = e22 | all_22_4 = e20
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1196), (1325), (1384) are inconsistent by
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_24_6 = e20 | all_24_13 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782), (815), (828), (1293), (1316), (1319),
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) are inconsistent by sub-proof #32.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) ~ (all_22_11 = e23)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_22_11 = e22 | all_22_11 = e21 | all_22_11 =
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1386) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) ~ (all_14_10 = e23)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_22_11 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1389) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_14_10 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1390) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1391) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_22_11 = e22 | all_22_11 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_22_11 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1393) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_14_10 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1394) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_24_13 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1307), (1394) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_10_2 = e20)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1396) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) ~ (all_10_2 = e20)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_22_7 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1398) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_14_6 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1399) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_14_6 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (1400) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_24_14 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1400) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) ~ (all_4_1 = e23)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1402) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_4_1 = e23)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_22_5 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (1403), (1404) are inconsistent by
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_22_8 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1301), (1309), (1406) are inconsistent by
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_22_8 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1301), (1408) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_10_2 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_10_2 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1302), (1410) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_24_5 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1303), (1410) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) ~ (all_14_4 = e21)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1410) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_14_9 = e21)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1308), (1410) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) ~ (all_6_1 = e21)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_6_1 = e21)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (1410) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op2(e21, e21) = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_22_10 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1417) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_6_1 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1418) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1419) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_22_10 = e22 | all_22_10 = e21 | all_22_10 =
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_22_4 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1282), (1421) are inconsistent by
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_24_1 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1423) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_14_4 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1424) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_14_4 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1425) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_4_1 = e20)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1196), (1425) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) ~ (e22 = e20)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_24_4 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1428) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_14_9 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1429) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_14_9 = e23
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_24_2 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (1431) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_4_1 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_4_1 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1433) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op2(e21, e21) = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_24_4 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1428), (1435) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) e23 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) e23 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1437) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1438) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_24_5 = e22 | all_24_6 = e22 | all_24_13 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_24_5 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1411), (1440) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) e22 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1441) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1442) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) ~ (all_24_5 = e22)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_24_6 = e22 | all_24_13 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1411), (1443) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) ~ (e22 = e21)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_24_6 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_24_6 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1446), (1447) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) e22 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1448) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) e22 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1449) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1450) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1451) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_24_7 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1452) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_14_7 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1453) implies:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_14_7 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1454) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) op2(e21, e21) = all_18_18
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (29), (1416), (1434), (1455) are inconsistent
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_24_8 = e21 | all_24_9 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (840), (1178), (1291), (1456) are
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_24_13 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1395), (1457) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) e22 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1458) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1459) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (all_24_2 = e22)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1460) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) ~ (all_4_1 = e22)
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_24_1 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1423), (1462) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) e22 = e20
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1463) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1464) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_24_2 = e22 | all_24_7 = e22 | all_24_14 = e22
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1420) gives:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_22_10 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1466) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_6_1 = e21
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1415), (1467) imply:
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) $false
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1468) is inconsistent.
% 51.68/8.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_22_10 = e22 | all_22_10 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_22_10 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1470) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_6_1 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1293), (1471) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) $false
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1472) is inconsistent.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_22_10 = e22
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1473) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_6_1 = e22
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1474) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) ~ (all_14_7 = e22)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (560), (786), (1401), (1461), (1465), (1475)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #28.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) ~ (all_24_4 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1476) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) ~ (all_14_9 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (300), (567), (775), (826), (827), (832), (1272),
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405), (1413), (1477) are inconsistent by
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) ~ (all_24_1 = e20)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1478) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) ~ (all_14_4 = e20)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1196), (1412), (1422), (1479) are
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_22_8 = e22 | all_22_8 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1301), (1310), (1397), (1480) are inconsistent by
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) ~ (all_22_7 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1481) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) ~ (all_14_6 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815), (828), (1395), (1482), (1483) are
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_22_11 = e22
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1484) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_14_10 = e22
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1485) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) $false
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1486) is inconsistent.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_22_2 = e22
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (813), (1487) are inconsistent by sub-proof
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (550), (781), (785), (1179), (1263), (1488)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1489) ~ (all_22_1 = e21)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1489) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1490) ~ (all_14_1 = e21)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (343), (345), (346), (550),
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (781), (785), (811), (818), (840), (1179), (1263),
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1490) are inconsistent by sub-proof #17.
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | (1491) (all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_22 = e20) | (all_18_24 = e23 &
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | all_18_26 = e22 & all_18_28 = e21 & all_18_30 =
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | e20)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | (1492) all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_22 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1492) implies:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | (1493) all_18_22 = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | (1494) all_18_16 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (932), (1493) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | (1495) op2(all_14_4, all_14_4) = e20
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (1494) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | (1496) op2(all_14_6, all_14_6) = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_22_1 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1497) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_14_1 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1498) implies:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_14_1 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1499) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1500) ~ (all_14_9 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1500) implies:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1501) ~ (all_14_9 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1499) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1502) ~ (all_10_1 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1502) implies:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1503) ~ (all_10_1 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (1499) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1504) op2(e23, e23) = all_18_28
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_28, e23, e23,
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1504) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_18_28 = e21
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_22_7 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1506) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_14_6 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1507) implies:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_14_6 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1508) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1509) ~ (all_14_4 = e23)
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1496), (1508) imply:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op2(e23, e23) = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_24_4 = e23
% 51.68/8.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (784), (1501), (1511) are inconsistent by
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_24_5 = e23 | all_24_6 = e23 | all_24_13 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_24_5 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (1513) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_14_8 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1514) implies:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_14_8 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1515) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) op2(e23, e23) = all_18_14
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_14, e23, e23,
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1516) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_18_14 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_14, e23, e23,
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1510), (1516) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_18_14 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1517), (1518) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) e23 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1519) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) $false
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1520) is inconsistent.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_24_5 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1521) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_14_8 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1193), (1503),
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509), (1522) are inconsistent by sub-proof #50.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1523) ~ (all_22_7 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1523) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1525) ~ (all_14_6 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_24_12 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (591), (1526) are inconsistent by sub-proof
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #49.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_24_13 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1528) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_14_10 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1529) implies:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_14_10 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1530) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) ~ (all_14_8 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1530) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) op2(e23, e23) = all_18_8
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_24_1 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1533) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_14_4 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1534) implies:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_14_4 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1495), (1535) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) op2(e23, e23) = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_8, e23, e23,
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1532) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_18_8 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_18_8, e23, e23,
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1532), (1536) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_18_8 = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1537), (1538) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) e21 = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1539) implies:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) e21 = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1540) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) $false
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1541) is inconsistent.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (all_24_1 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1542) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) ~ (all_14_4 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1193), (1503),
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531), (1543) are inconsistent by sub-proof #50.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_24_14 = e23 | all_24_15 = e23
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (550), (561), (777), (815), (828), (1524),
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525), (1544) are inconsistent by sub-proof #44.
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | (1545) ~ (all_22_1 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_22_1 = e22 | all_22_1 = e21 | all_22_1 = e20
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1545) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | (1547) ~ (all_14_1 = e23)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_22_1 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1548) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_14_1 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1549) implies:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_14_1 = e21
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1550) imply:
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1551) ~ (all_14_3 = e21)
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.68/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1551) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_14_3 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1550) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1553) ~ (all_14_9 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1553) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1554) ~ (all_14_9 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1550) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1555) ~ (all_10_1 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1555) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1556) ~ (all_10_1 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1550) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1557) ~ (all_4_1 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_4_1 = e21)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (1550) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1559) op2(e21, e21) = all_18_28
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_22_2 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1560) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_14_3 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1561) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) $false
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1562) is inconsistent.
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) ~ (all_22_2 = e23)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_22_2 = e22 | all_22_2 = e21 | all_22_2 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_24_0 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (1565) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_10_1 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_10_1 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1567) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) ~ (all_14_8 = e23)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (1567) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) op2(e23, e23) = all_18_30
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1567) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) op2(e20, e23) = all_10_0
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1567) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) op2(e20, e20) = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_22_2 = e21
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1552), (1572) are inconsistent by
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_22_2 = e22 | all_22_2 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1573) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) all_22_2 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1574) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_14_3 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1575) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_14_3 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (1576) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_24_8 = e20
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (1576) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) ~ (all_14_7 = e20)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1578) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) ~ (all_14_7 = e20)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1576) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) ~ (all_6_1 = e20)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1580) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) ~ (all_6_1 = e20)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (1576) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op2(e20, e20) = all_18_26
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_26, e20, e20,
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1571), (1582) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_18_26 = e23
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_10_0, e23, e20,
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1570) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_10_0 = e22
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_1, all_18_28, e21,
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (31), (1559) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_18_28 = all_4_1
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_30, e23, e23,
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1569) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_18_30 = e21
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1584) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) op2(e22, e20) = all_10_2
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_8, all_10_2, e20,
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (175), (1587) gives:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_14_8 = all_10_2
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (1588) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_22_8 = all_10_2
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (1588) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_24_5 = all_10_2
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1588) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) ~ (all_14_4 = all_10_2)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1588) imply:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) ~ (all_14_9 = all_10_2)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1592) implies:
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) ~ (all_14_9 = all_10_2)
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1588) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) ~ (all_14_10 = all_10_2)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1594) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) ~ (all_14_10 = all_10_2)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1568), (1588) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) ~ (all_10_2 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1197), (1588) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) ~ (all_10_2 = e22)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_22_11 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1598) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_14_10 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1599) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_24_13 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1599) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) ~ (all_14_6 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (1599) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) ~ (all_14_9 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1595), (1599) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_10_2 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_22_9 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1604) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_14_9 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1605) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_14_9 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1602), (1606) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) $false
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1607) is inconsistent.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_22_7 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (561), (1601), (1609) are inconsistent by
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_24_4 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (784), (832), (1611) are inconsistent by sub-proof
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) ~ (all_24_4 = e20)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_24_5 = e20 | all_24_6 = e20 | all_24_13 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_24_2 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (1614) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_4_1 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_4_1 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1616) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_14_4 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1616) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) op2(e21, e21) = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_24_5 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1590), (1619) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_10_2 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1620) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_10_2 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1591), (1621) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_14_4 = e20)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1596), (1621) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) ~ (e23 = e20)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_22_4 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1617), (1624) are inconsistent by
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) ~ (all_22_4 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_22_4 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1627) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_14_4 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1628) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_14_4 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1629) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) ~ (all_14_6 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1629) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_14_7 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) ~ (all_14_7 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1629) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) ~ (e23 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1495), (1629) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) op2(e21, e21) = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_22_6 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1635) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_14_7 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1180), (1636) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) $false
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1637) is inconsistent.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) ~ (all_22_6 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_22_6 = e22 | all_22_6 = e21 | all_22_6 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1610) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_22_7 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1640) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_14_6 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1641) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) $false
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1642) is inconsistent.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1639) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_22_6 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1644) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_14_7 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1632), (1645) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) $false
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) ~ (all_22_6 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_22_6 = e22 | all_22_6 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1648) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_22_6 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1649) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_14_7 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1579), (1650) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) $false
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1651) is inconsistent.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_22_6 = e22
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1652) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_14_7 = e22
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1653) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_24_7 = e22
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_22_10 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (774), (1183), (1655) are inconsistent by
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) ~ (all_22_10 = e23)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_22_10 = e22 | all_22_10 = e21 | all_22_10 =
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1657) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_22_10 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1658) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_6_1 = e21
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (926), (1659) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) op2(e21, e21) = all_18_10
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_10, e21, e21,
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1618), (1660) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_18_10 = e23
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_18_10, e21, e21,
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1634), (1660) gives:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_18_10 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1661), (1662) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) e23 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815), (1600), (1601), (1643), (1663) are
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_22_10 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1664) imply:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_6_1 = e21)
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (331), (782), (818), (840), (1178), (1577),
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654), (1665) are inconsistent by sub-proof #35.
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_22_4 = e22 | all_22_4 = e20
% 51.88/8.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1196), (1622), (1666) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_24_6 = e20 | all_24_13 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782), (815), (828), (1581), (1601), (1610),
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) are inconsistent by sub-proof #32.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) ~ (all_24_2 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1668) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (all_4_1 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_22_5 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (1669), (1670) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (567), (775), (826), (827), (832), (1554), (1558),
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (1671) are inconsistent by sub-proof #25.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) ~ (all_22_11 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_22_11 = e22 | all_22_11 = e21 | all_22_11 =
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1672) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) ~ (all_14_10 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_22_11 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1675) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_14_10 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1676) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) $false
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1677) is inconsistent.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_22_11 = e22 | all_22_11 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_22_11 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1679) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_14_10 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1680) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_24_13 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1595), (1680) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (all_10_2 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1682) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) ~ (all_10_2 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1674), (1680) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) ~ (e23 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1680) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) op2(e20, e20) = all_18_8
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_22_7 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1686) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_14_6 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_14_6 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1688) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_14_4 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1688) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_4_1 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) ~ (all_4_1 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1496), (1688) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op2(e23, e23) = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_22_5 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (1691), (1693) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_22_8 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1589), (1596), (1695) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1696) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_22_8 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1589), (1697) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_10_2 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_10_2 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1591), (1699) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_14_4 = e21)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_22_4 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1689), (1701) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_24_1 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1703) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_14_4 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1704) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_14_4 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1705) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) ~ (all_4_1 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1495), (1705) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) op2(e20, e20) = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_24_4 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1708) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_14_9 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1709) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_14_9 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (1710) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) op2(e23, e23) = all_18_12
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_8, e20, e20,
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1571), (1685) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_18_8 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_18_8, e20, e20,
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1685), (1707) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_18_8 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_12, e23, e23,
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1711) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_18_12 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_18_12, e23, e23,
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1692), (1711) gives:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_18_12 = e23
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1712), (1713) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) e23 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1714), (1715) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) e23 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1717) implies:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) e23 = e21
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1716), (1718) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) e21 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1719) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_24_4 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1721) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) ~ (all_14_9 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (300), (567), (775), (826), (827), (832), (1554),
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558), (1694), (1722) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) ~ (all_24_1 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1723) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) ~ (all_14_4 = e20)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1196), (1700), (1702), (1724) are
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_22_8 = e22 | all_22_8 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1589), (1597), (1683), (1725) are inconsistent by
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) ~ (all_22_7 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1726) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_14_6 = e23)
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (327), (550), (561), (591), (777),
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815), (828), (1681), (1727), (1728) are
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_22_11 = e22
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1729) imply:
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_14_10 = e22
% 51.88/8.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1730) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1731) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_22_2 = e22
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (813), (1732) are inconsistent by sub-proof
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (550), (781), (785), (1179), (1547), (1733)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1734) ~ (all_22_1 = e21)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1734) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1735) ~ (all_14_1 = e21)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (343), (345), (346), (550),
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (781), (785), (811), (818), (840), (1179), (1547),
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1735) are inconsistent by sub-proof #17.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1736) all_18_24 = e23 & all_18_26 = e22 & all_18_28 =
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_30 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1736) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1737) all_18_24 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (981), (1737) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1738) all_6_1 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1738) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1739) all_6_1 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1739) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1740) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1740) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1741) all_24_12 = e22
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1741) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1742) e22 = e21
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1742) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1743) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1743) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.31 | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | (1744) ~ (all_22_14 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | REDUCE: (584), (1744) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | (1745) ~ (all_14_15 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | (1746) all_24_9 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (1746) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | (1747) all_14_15 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | SIMP: (1747) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | (1748) all_14_15 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | REDUCE: (1745), (1748) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | (1749) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | CLOSE: (1749) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | (1750) all_24_10 = e23 | all_24_11 = e23 | all_24_12 =
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (1750) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | (1751) all_24_10 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1751) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | (1752) e23 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1752) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | (1753) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | CLOSE: (1753) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | (1754) all_24_11 = e23 | all_24_12 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1754) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1755) all_24_11 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (779), (1755) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1756) all_14_12 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (1756) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1757) all_14_12 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1758) ~ (all_14_4 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_14_8 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_14_15 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_10_1 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (1761) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_10_1 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1763) op2(e23, e23) = all_18_6
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1757) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | (1764) op2(e23, e20) = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1765) all_24_9 = e22
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (1765) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1766) all_14_15 = e22
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1766) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1767) ~ (all_14_7 = e22)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1766) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1768) ~ (all_6_1 = e22)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1769) ~ (all_6_1 = e22)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1745), (1766) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1770) ~ (e23 = e22)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (1766) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1771) op2(e23, e22) = e22
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_6, e23, e23,
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1763) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | (1772) all_18_6 = e21
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1773) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | & all_18_6 = e20) | (all_18_8 = e23 & all_18_10
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_18_12 = e21 & all_18_14 = e20)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 &
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | all_18_6 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1774) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_18_6 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1772), (1775) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1776) e21 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1776) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1777) e21 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1777) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1778) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1778) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | & all_18_14 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1779) implies:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_18_8 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1780) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1781) op2(all_14_10, all_14_10) = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_22_11 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1782) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_14_10 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1781), (1783) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1784) op2(e23, e23) = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (29), (1784) are inconsistent by
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1785) ~ (all_22_11 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1785) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_14_10 = e23)
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_24_12 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1787) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) e23 = e21
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1788) imply:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) $false
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_24_13 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (778), (1786), (1791) are inconsistent by
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_24_12 = e20
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1793) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) e21 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) e21 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1795) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_24_13 = e20 | all_24_14 = e20 | all_24_15 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1797) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_24_13 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1798) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_14_10 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1799) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_14_10 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1781), (1800) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) op2(e20, e20) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_10_1, e23, e20, e20,
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (1801) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_10_1 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1802) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1803) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_24_14 = e20 | all_24_15 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_24_14 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (550), (1792), (1805) are inconsistent
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #47.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_24_15 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (550), (1806) are inconsistent by sub-proof
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | (1807) (all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_22 = e20) | (all_18_24 = e23 &
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | all_18_26 = e22 & all_18_28 = e21 & all_18_30 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | e20)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_22 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_18_16 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (1809) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1810) op2(all_14_6, all_14_6) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_22_11 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1811) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_14_10 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1812) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_14_6 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_22_7 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (561), (1813), (1814) are inconsistent by
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1815) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_22_7 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (561), (828), (1816) are inconsistent by sub-proof
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_22_7 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1818) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_14_6 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_14_6 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1810), (1820) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) op2(e20, e20) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_10_1, e23, e20, e20,
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (1821) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_10_1 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1822) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1823) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_22_7 = e22
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (561), (815), (1824) are inconsistent by sub-proof
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #46.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_22_11 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1825) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1826) ~ (all_14_10 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_24_12 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1827) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) e23 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1828) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1829) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1830) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_24_13 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (778), (1826), (1831) are inconsistent by
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1832) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_24_14 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (1833) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_14_6 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1810), (1834) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) op2(e23, e23) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (29), (1835) are inconsistent by
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_24_15 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (550), (553), (783), (787), (1755),
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758), (1759), (1762), (1836) are inconsistent by
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_18_24 = e23 & all_18_26 = e22 & all_18_28 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_18_30 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_18_30 = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_18_28 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_18_26 = e22
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_18_24 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (981), (1841) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_6_1 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_24_6 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_28_103 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (976), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_28_73 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_28_72 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_14_3 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_14_10 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1849) h3(e11) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (1839) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1850) op2(all_14_1, all_14_1) = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (1840) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1851) op2(all_14_3, all_14_3) = e22
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (1838) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1852) op2(all_10_1, all_10_1) = e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1853) op2(all_6_0, e23) = all_28_102
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1854) op2(e23, all_6_0) = all_28_94
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (926), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1855) op2(e23, e23) = all_18_10
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1856) op2(e23, all_6_2) = all_28_90
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1857) op2(e23, e22) = all_28_88
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1858) op2(all_6_2, e23) = all_28_84
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1842) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | (1859) op2(e22, e23) = all_6_0
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_22_11 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1860) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_14_10 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1861) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_14_10 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (1862) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1863) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1863) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1864) ~ (all_22_11 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_22_11 = e22 | all_22_11 = e21 | all_22_11 =
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_24_0 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (787), (1762), (1866) are inconsistent by
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1867) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_24_3 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (1868) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_14_1 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1869) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_14_1 = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1870) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ~ (all_14_3 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1870) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) ~ (all_14_9 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1872) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) ~ (all_14_9 = e23)
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (1870) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) op2(e20, e21) = e23
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1865) gives:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_22_11 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1875) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_14_10 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_14_10 = e21
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1877) imply:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) $false
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1878) is inconsistent.
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) ~ (all_22_11 = e21)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_22_11 = e22 | all_22_11 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_24_12 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1881) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) e23 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1882) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1883) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1884) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_24_13 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1885) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_14_10 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (1886) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1887) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1888) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_24_14 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (1889) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_14_6 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1890) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_14_6 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1891) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) ~ (all_14_7 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1892) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) ~ (all_14_7 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1891) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_14_10 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1891) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) ~ (all_4_1 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1895) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_4_1 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (1891) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) op2(e21, e23) = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_22_11 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1898) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_14_10 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1899) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_14_10 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_24_13 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) ~ (all_14_8 = e20)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) ~ (e23 = e20)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) ~ (e22 = e20)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) op2(e20, e20) = all_18_8
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1900) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) op2(e22, e23) = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_10_1, all_18_8, e20,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (53), (1905) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_18_8 = all_10_1
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_6_0, e23, e22,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1859), (1906) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_6_0 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_88, e22, e23,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1771), (1857) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_28_88 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_18_10, e23, e23,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1855) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_18_10 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_28_106 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (971), (1910) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_28_92 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1148), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_28_81 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (975), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_28_77 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (966), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_28_76 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) h3(e10) = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) op2(e20, e20) = all_28_105
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (904), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) op2(e20, all_6_2) = all_28_99
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1853), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) op2(e20, e23) = all_28_102
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) op2(e20, e22) = all_6_2
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) op2(all_6_2, e20) = all_28_86
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1854), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) op2(e23, e20) = all_28_94
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (894), (1908) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) op2(e22, e20) = all_28_78
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_10_1, all_28_105, e20,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (53), (1917) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_28_105 = all_10_1
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_3, all_6_2, e22,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (169), (1920) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_14_3 = all_6_2
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_102, e23, e20,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1919) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_28_102 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_8, all_28_78, e20,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (175), (1923) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_28_78 = all_14_8
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_94, e20, e23,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1764), (1922) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_28_94 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_22_2 = all_6_2
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_24_8 = all_6_2
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) ~ (all_14_7 = all_6_2)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1931) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) ~ (all_14_7 = all_6_2)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) ~ (all_10_1 = all_6_2)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1933) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) ~ (all_10_1 = all_6_2)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1847), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) ~ (all_6_2 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) ~ (all_6_2 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (1925) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) op2(all_6_2, all_6_2) = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_82, e22, all_6_2,
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2, simplifying with (896), (1937) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_28_82 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_22_5 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (1896), (1939) are inconsistent by
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_22_5 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_22_0 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1942) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_10_1 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1943) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1944) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) ~ (all_22_0 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_22_0 = e22 | all_22_0 = e21 | all_22_0 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_22_9 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1947) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_14_9 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1873), (1948) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1949) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_22_2 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (1951) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_6_2 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1952) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_6_2 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1935), (1953) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1954) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) ~ (all_22_2 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_22_2 = e22 | all_22_2 = e21 | all_22_2 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_22_6 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1957) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_14_7 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1893), (1958) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1959) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) ~ (all_22_6 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_22_6 = e22 | all_22_6 = e21 | all_22_6 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_22_4 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1962) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_14_4 = e23
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1758), (1963) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1964) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) ~ (all_22_4 = e23)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_24_2 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (1967) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_4_1 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1968) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_4_1 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (1969) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) ~ (all_14_9 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (1969) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) op2(e22, e21) = all_28_52
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1969) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) op2(e21, e22) = all_4_0
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1969) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) op2(e21, e21) = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_24_4 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1974) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_14_9 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1975) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_14_9 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1970), (1976) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) $false
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1977) is inconsistent.
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_24_5 = e22 | all_24_6 = e22 | all_24_13 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_24_5 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (1979) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_14_8 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1980) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_14_8 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1927), (1981) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_28_78 = e22
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1981) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) ~ (all_14_4 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1981) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) ~ (all_14_9 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1981) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) ~ (all_10_1 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (all_10_1 = e22)
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_22_9 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1987) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_14_9 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1988) implies:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_14_9 = e21
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (1989) imply:
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) op2(e21, e21) = all_18_12
% 51.88/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (1989) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) op2(e22, e21) = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_18_12, e21, e21,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1973), (1990) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_18_12 = e22
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_7, all_4_0, e22,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (173), (1972) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_14_7 = all_4_0
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_52, e21, e22,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1971), (1991) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_28_52 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_22_6 = all_4_0
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_24_7 = all_4_0
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) ~ (all_14_4 = all_4_0)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1932), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) ~ (all_6_2 = all_4_0)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1998) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) ~ (all_6_2 = all_4_0)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1767), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) ~ (all_4_0 = e22)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1993) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) op2(all_4_0, all_4_0) = all_18_18
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_69, all_18_18,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, all_4_0, simplifying with (890), (2001)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_28_69 = all_18_18
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_24_0 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (2003) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_10_1 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2004) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_10_1 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1924), (2005) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_28_105 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1934), (2005) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) ~ (all_6_2 = e20)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2007) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_6_2 = e20)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_24_6 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1843), (2009) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) e23 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (550), (1888), (1889), (2010) are
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_24_7 = e20 | all_24_8 = e20 | all_24_9 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_24_7 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2012) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_4_0 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_4_0 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2014) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) ~ (all_14_4 = e20)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (2014) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) op2(e21, e20) = all_28_42
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1972), (2014) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) op2(e21, e22) = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_24_1 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2018) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_14_4 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2019) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_14_4 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (2020) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) op2(e21, e20) = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1956) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_22_2 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (2022) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_6_2 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2023) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_6_2 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_28_100 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (977), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_28_98 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (972), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_28_96 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1034), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_28_75 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) h3(e12) = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) op2(e21, e23) = all_28_84
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (895), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) op2(e21, e22) = all_28_80
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1921), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) op2(e21, e20) = all_28_86
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) op2(e23, e21) = all_28_90
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) op2(e22, e21) = all_28_74
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1918), (2024) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) op2(e20, e21) = all_28_99
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_99, e21, e20,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1874), (2035) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_28_99 = e23
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_86, all_28_42, e20,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2016), (2032) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_28_42 = all_28_86
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_42, e20, e21,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2016), (2021) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_28_42 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_80, e22, e21,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2017), (2031) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_28_80 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_84, e23, e21,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1897), (2030) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_28_84 = e23
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_74, e21, e22,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1991), (2034) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_28_74 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_90, e21, e23,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (2033) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_28_90 = e20
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2037), (2038) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_28_86 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2043) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_28_86 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_26_4 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2045) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_12_9 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2046) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) ~ (all_12_8 = e11)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (2046) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) h3(e11) = all_28_85
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (2046) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) op1(e11, e11) = all_16_12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_26_2 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2050) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_12_5 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (2051) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) ~ (all_12_7 = e12)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (2051) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) h3(e12) = all_28_93
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2051) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) op1(e11, e11) = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1174) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_20_8 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2047), (2055) are inconsistent by
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_20_8 = e12 | all_20_8 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2056) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_20_8 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2057) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_12_8 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2058) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_12_8 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1116), (2059) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) $false
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2060) is inconsistent.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_20_8 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2061) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_12_8 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2062) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_12_8 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (2063) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_26_5 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2063) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) ~ (all_12_0 = e12)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (2063) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) h3(e12) = all_28_87
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_12, e11, e11,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2049), (2054) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_16_12 = e12
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_85, e11,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1849), (2048) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_28_85 = e23
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_87, e12,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2029), (2066) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_28_87 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_93, all_28_87, e12,
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2053), (2066) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_28_87 = all_28_93
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2069), (2070) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_28_93 = e21
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_26_0 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (2072) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_12_0 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2073) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_12_0 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2074) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (all_12_3 = e10)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2075) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) ~ (all_12_3 = e10)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1012), (2074) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) ~ (e13 = e10)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (877), (2074) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) h3(e10) = all_28_107
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_26_6 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1099), (2079) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) e13 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1131), (2080) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) $false
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2081) is inconsistent.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_26_7 = e10 | all_26_8 = e10 | all_26_9 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_26_0 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2072), (2083) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) e11 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2084) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) e11 = e10
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2085) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) $false
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2086) is inconsistent.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_26_1 = e11 | all_26_5 = e11 | all_26_11 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1162) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_20_2 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2088) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_12_3 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2089) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_12_3 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1142), (2090) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) ~ (e13 = e11)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (2090) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) ~ (e12 = e11)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (2090) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) h3(e11) = all_28_101
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_26_1 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2094) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_12_4 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2095) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_12_4 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2096) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_12_7 = e11)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) ~ (all_12_7 = e11)
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (2096) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) h3(e11) = all_28_95
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_20_6 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2100) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_12_7 = e11
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2098), (2101) imply:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) $false
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2102) is inconsistent.
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_20_6 = e12 | all_20_6 = e10
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_26_7 = e10
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (2104) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_12_7 = e10
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2105) implies:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_12_7 = e10
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (2106) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) h3(e10) = all_28_91
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_91, e10,
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1916), (2107) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_28_91 = e20
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_107, all_28_91,
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (2078), (2107) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_28_91 = all_28_107
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_95, e11,
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1849), (2099) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_28_95 = e23
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_101, all_28_95,
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (2093), (2099) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_28_95 = all_28_101
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2109) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_28_107 = e20
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2110), (2111) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_28_101 = e23
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2113) implies:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_28_101 = e23
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) ~ (all_28_72 = all_28_73)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1845), (1846), (2115) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2116) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (all_28_74 = all_28_75) | ~ (all_28_76 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_80 = all_28_81) | ~ (all_28_82 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) ~ (all_28_74 = all_28_75)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2041), (2118) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2119) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) ~ (all_28_76 = all_28_77) | ~ (all_28_78 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_79) | ~ (all_28_80 = all_28_81) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_82 = all_28_83) | ~ (all_28_84 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) ~ (all_28_76 = all_28_77)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1914), (1915), (2121) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2122) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) ~ (all_28_78 = all_28_79) | ~ (all_28_80 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_84 = all_28_85) | ~ (all_28_86 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2123) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_28_78 = all_28_79)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1035), (1982), (2124) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_28_80 = all_28_81) | ~ (all_28_82 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) ~ (all_28_80 = all_28_81)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1913), (2039), (2127) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2128) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_28_82 = all_28_83) | ~ (all_28_84 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) ~ (all_28_82 = all_28_83)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1938), (2130) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2131) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) ~ (all_28_84 = all_28_85) | ~ (all_28_86 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_28_84 = all_28_85)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2040), (2068), (2133) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2134) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (all_28_86 = all_28_87) | ~ (all_28_88 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) ~ (all_28_86 = all_28_87)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2044), (2069), (2136) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2137) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) ~ (all_28_88 = all_28_89) | ~ (all_28_90 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_28_88 = all_28_89)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1149), (1909), (2139) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2140) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_28_90 = all_28_91) | ~ (all_28_92 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_28_90 = all_28_91)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2042), (2108), (2142) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) ~ (all_28_92 = all_28_93) | ~ (all_28_94 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) ~ (all_28_92 = all_28_93)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1912), (2071), (2145) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2146) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_28_94 = all_28_95) | ~ (all_28_96 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2147) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) ~ (all_28_94 = all_28_95)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1928), (2110), (2148) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2149) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) ~ (all_28_96 = all_28_98) | ~ (all_28_99 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) ~ (all_28_96 = all_28_98)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2027), (2151) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2152) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_28_99 = all_28_101) | ~ (all_28_102 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2153) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_28_99 = all_28_101)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2036), (2114), (2154) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2155) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) ~ (all_28_102 = all_28_104) | ~ (all_28_105 =
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20))
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2156) gives:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) ~ (all_28_102 = all_28_104)
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1155), (1926), (2157) imply:
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) $false
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2158) is inconsistent.
% 51.88/8.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 =
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_28_100 = e23) & ~ (all_28_103
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_28_106 = e23)) | ( ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) ~ (all_28_105 = all_28_107)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2006), (2112), (2160) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2161) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22))
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2164) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) ~ (all_28_103 = e23)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1844), (2165) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2166) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2167) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) ~ (all_28_97 = e22)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (2168) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2169) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ( ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | (
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20))
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2170) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2171) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_28_100 = e21)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2172) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2173) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2174) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) ~ (all_28_106 = e20)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1911), (2175) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2176) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (all_26_7 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (2177) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_12_7 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (1030), (2103), (2178) are inconsistent by
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) ~ (all_26_1 = e11)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (2179) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) ~ (all_12_4 = e11)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2087) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_26_1 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2181) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_12_4 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2182) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_12_4 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2180), (2183) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2184) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_26_5 = e11 | all_26_11 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_26_5 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1031), (2064), (2186) are inconsistent by
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_26_11 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (2187) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) e13 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1130), (2188) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2189) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_20_2 = e12 | all_20_2 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_20_2 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2191) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_12_3 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2076), (2192) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2193) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_20_2 = e12
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2194) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_12_3 = e12
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (2195) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2196) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) ~ (all_26_0 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (471), (2197) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_12_0 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_26_0 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (2199) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_12_0 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_12_0 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2198), (2201) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2202) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_26_1 = e10 | all_26_5 = e10 | all_26_11 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2203) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_26_1 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2204) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_12_4 = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2205) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) ~ (all_12_7 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2206) implies:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) ~ (all_12_7 = e10)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (2205) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) op1(e10, e10) = all_16_22
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_26_0 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (2209) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_12_0 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1104), (2210) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) op1(e11, e11) = e10
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (2210) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) op1(e10, e10) = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_20_6 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2213) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_12_7 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2214) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) ~ (all_12_3 = e11)
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (2214) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) op1(e11, e11) = all_16_18
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1162) gives:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_20_2 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2217) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_12_3 = e11
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2215), (2218) imply:
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) $false
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2219) is inconsistent.
% 51.88/8.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) ~ (all_20_2 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_20_2 = e12 | all_20_2 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_20_2 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2222) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_12_3 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (2223) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) op1(e10, e10) = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_22, e10, e10,
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2208), (2224) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_16_22 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_16_22, e10, e10,
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2208), (2212) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_16_22 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_18, e11, e11,
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2054), (2216) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_16_18 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e10, all_16_18, e11, e11,
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2211), (2216) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_16_18 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2227), (2228) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) e12 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2229) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) e12 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2225), (2226) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) e12 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2231) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) e12 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2230), (2232) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) e11 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2233) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) e11 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2234) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2235) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_20_2 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2236) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) all_12_3 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (2237) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2238) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_20_6 = e12 | all_20_6 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (1030), (2207), (2239) are inconsistent by
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) ~ (all_26_0 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (471), (2240) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) ~ (all_12_0 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1167) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_20_0 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2242) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_12_0 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2241), (2243) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2244) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_20_0 = e12 | all_20_0 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_20_0 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2246) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_12_0 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2198), (2247) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_20_0 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2249) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_12_0 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2065), (2250) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2251) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_26_5 = e10 | all_26_11 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_26_5 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2064), (2253) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) e12 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (2254) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2255) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_26_11 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (2256) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) e13 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2257) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) e13 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1131), (2258) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2259) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) ~ (all_26_2 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (2260) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_12_5 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (367), (373), (488), (626), (629), (788),
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030), (1031), (1099), (1100), (1114), (1119),
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125), (1145), (2045), (2261) are inconsistent by
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_26_5 = e11 | all_26_6 = e11 | all_26_13 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_26_5 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (2263) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_12_8 = e11
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2264) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) ~ (all_12_0 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2264) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) ~ (all_12_4 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1100), (2264) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) ~ (e13 = e11)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (944), (2264) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) op1(e11, e11) = all_16_14
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_26_4 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2269) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_12_9 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2270) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_12_9 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2271) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) ~ (all_12_5 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (2271) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) ~ (e13 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_26_1 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2274) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_12_4 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2275) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_12_4 = e12
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2276) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_12_5 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2276) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_12_7 = e12)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_26_1 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2274), (2279) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) e12 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2280) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) e12 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (2281) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2282) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) ~ (all_26_1 = e10)
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_26_2 = e10 | all_26_7 = e10 | all_26_14 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2284) gives:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_26_2 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2285) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_12_5 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2286) implies:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_12_5 = e10
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2287) imply:
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) $false
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2288) is inconsistent.
% 51.88/8.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_26_7 = e10 | all_26_14 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_26_2 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2290) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_12_5 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_12_5 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2272), (2292) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) ~ (e12 = e11)
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (2292) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) op1(e11, e11) = all_16_20
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2292) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) op1(e11, e11) = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_26_0 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (2296) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_12_0 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2265), (2297) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2298) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_26_3 = e11 | all_26_8 = e11 | all_26_15 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2299) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_26_3 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (2300) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) e13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1130), (2301) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2302) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_26_8 = e11 | all_26_15 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2303) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_26_8 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2304) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_12_3 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2305) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_12_3 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (2306) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) op1(e11, e11) = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_26_7 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (2308) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_12_7 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_16_20, e11, e11,
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2294), (2295) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_16_20 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_16_20, all_16_14, e11,
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (2268), (2294) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_16_14 = all_16_20
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_14, e11, e11,
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2268), (2307) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_16_14 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2311), (2312) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_16_20 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2313) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_16_20 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2310), (2314) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) e12 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2315) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) e12 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2269), (2316) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_26_4 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (367), (373), (488), (626), (629), (788),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030), (1031), (1099), (1100), (1114), (1119),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125), (1145), (2272), (2317) are inconsistent by
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_26_14 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1125), (2318) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) e13 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2319) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) e13 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1131), (2320) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2321) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_26_15 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2322) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) e12 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2269), (2323) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_26_4 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (367), (373), (488), (626), (629), (788),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030), (1031), (1099), (1100), (1114), (1119),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125), (1145), (2272), (2324) are inconsistent by
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_26_3 = e11 | all_26_4 = e11 | all_26_10 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_26_3 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (2326) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) e13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2327) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) e13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1130), (2328) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2329) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_26_4 = e11 | all_26_10 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_26_4 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (367), (373), (488), (626), (629), (788),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030), (1031), (1099), (1100), (1114), (1119),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125), (1145), (2272), (2331) are inconsistent by
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_26_10 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2332) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) e11 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) e11 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2334) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2335) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_26_2 = e12 | all_26_7 = e12 | all_26_14 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (626), (629), (1030), (1125), (1145), (2272),
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) are inconsistent by sub-proof #9.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_26_5 = e12 | all_26_6 = e12 | all_26_13 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2337) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_26_5 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1031), (2263), (2338) are inconsistent by
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_26_6 = e12 | all_26_13 = e12
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1099), (1114), (1119), (1145), (2339) are
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_26_6 = e11 | all_26_13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2340) gives:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_26_6 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1099), (2341) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) e13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1130), (2342) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2343) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_26_13 = e11
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1114), (2344) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) e11 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2345) implies:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) e11 = e10
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2346) imply:
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) $false
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2347) is inconsistent.
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_22_2 = e22 | all_22_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_22_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (2349) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_6_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_6_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2008), (2351) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_22_2 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (2353) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_6_2 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2354) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_6_2 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1936), (2355) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2356) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) ~ (all_24_1 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (2357) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) ~ (all_14_4 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1966), (1983), (2015), (2358) are
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_24_8 = e20 | all_24_9 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2359) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_24_8 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1930), (2360) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_6_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2361) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_6_2 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2008), (2362) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2363) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_24_9 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1765), (2364) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) e22 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2365) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) e22 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2366) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2367) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) ~ (all_24_0 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_24_1 = e20 | all_24_5 = e20 | all_24_11 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2368) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) ~ (all_10_1 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_22_0 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (2371) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_10_1 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2372) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_10_1 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (2373) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) ~ (all_14_4 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (2373) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) ~ (e23 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1852), (2373) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) op2(e21, e21) = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_24_6 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1843), (2377) are inconsistent by sub-proof
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #6.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2378) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_24_7 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2379) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_4_0 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2380) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_4_0 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2001), (2381) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) op2(e21, e21) = all_18_18
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (29), (1973), (2376), (2382) are inconsistent
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #29.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) ~ (all_24_7 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2383) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) ~ (all_4_0 = e21)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2369) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_24_1 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2385) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_14_4 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2386) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_14_4 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2387) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) ~ (all_4_0 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2388) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) ~ (all_4_0 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1961) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_22_6 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (2390) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_4_0 = e21
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2384), (2391) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2392) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_22_6 = e22 | all_22_6 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2393) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_22_6 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (2394) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_4_0 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2389), (2395) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2396) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_22_6 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (2397) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_4_0 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2000), (2398) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) ~ (all_24_1 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (2400) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) ~ (all_14_4 = e20)
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1966), (1983), (2374), (2401) are
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) all_22_0 = e22 | all_22_0 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_22_0 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (2403) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_10_1 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2404) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_10_1 = e20
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2370), (2405) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2406) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_22_0 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (2407) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_10_1 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2408) implies:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_10_1 = e22
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1986), (2409) imply:
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) $false
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2410) is inconsistent.
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_22_9 = e22 | all_22_9 = e20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (567), (832), (1970), (2411) are inconsistent by
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_24_6 = e22 | all_24_13 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2412) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_24_6 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1843), (2413) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) e23 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2414) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) e23 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1755), (2415) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_24_11 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1758), (1759),
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762), (2416) are inconsistent by sub-proof #50.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_24_13 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1901), (2417) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) e22 = e20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2418) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2419) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) ~ (all_24_2 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2420) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) ~ (all_4_1 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_24_1 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2422) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_14_4 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2423) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_14_4 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2424) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) ~ (all_14_7 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_24_0 = e20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_24_0 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2426), (2427) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) e21 = e20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2428) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2429) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_24_4 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (2431) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_14_9 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2432) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_14_9 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2433) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) ~ (all_14_8 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2433) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) ~ (all_4_1 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_24_2 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2436) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_4_1 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2437) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_4_1 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1896), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) ~ (e23 = e21)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2421), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) ~ (e22 = e21)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (931), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) op2(e21, e21) = all_18_20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) op2(e21, e21) = all_28_52
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) op2(e21, e21) = all_4_0
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2438) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) op2(e21, e21) = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_24_4 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2431), (2445) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) e22 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2446) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) e22 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2447) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2448) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_24_5 = e21 | all_24_6 = e21 | all_24_13 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2449) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_24_5 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (2450) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) all_14_8 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2451) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_14_8 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (2452) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) op2(e21, e21) = all_18_14
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2430) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_24_3 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1868), (2454) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) e23 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2455) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2456) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_24_8 = e21 | all_24_15 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_24_8 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1930), (2458) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_6_2 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2459) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_6_2 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1937), (2460) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) op2(e21, e21) = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_4_0, e21, e21,
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2443), (2444) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_4_0 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_0, all_18_20, e21,
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2441), (2443) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_18_20 = all_4_0
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_18_20, all_18_14, e21,
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2441), (2453) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) all_18_14 = all_18_20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_18_14, all_28_52, e21,
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2442), (2453) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_28_52 = all_18_14
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_52, e21, e21,
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2442), (2461) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_28_52 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2465), (2466) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_18_14 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2467) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_18_14 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2464), (2468) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_18_20 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2469) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_18_20 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2470) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_4_0 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2471) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_4_0 = e22
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2462), (2472) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) e22 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2473) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2474) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_24_15 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (818), (2475) are inconsistent by sub-proof
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) all_24_6 = e21 | all_24_13 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2476) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_24_6 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1843), (2477) are inconsistent by sub-proof
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #6.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_24_13 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1901), (2478) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) e21 = e20
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2479) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) $false
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2480) is inconsistent.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) ~ (all_24_2 = e21)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2481) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) ~ (all_4_1 = e21)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (340), (550), (560), (786), (818), (1767),
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868), (1889), (1893), (1930), (1932), (2422),
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430), (2482) are inconsistent by sub-proof #4.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_24_4 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2483) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) ~ (all_14_9 = e22)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1941) gives:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_22_5 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (2485) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_4_1 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_4_1 = e21
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2487) imply:
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) ~ (all_14_9 = e21)
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (567), (832), (1950), (2484), (2488) are
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 51.88/8.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) ~ (all_22_5 = e21)
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (2489) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) ~ (all_4_1 = e21)
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (340), (550), (560), (786), (818), (1767),
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868), (1889), (1893), (1930), (1932), (2422),
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430), (2490) are inconsistent by sub-proof #4.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_24_3 = e20 | all_24_8 = e20 | all_24_15 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_24_3 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1868), (2492) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) e23 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (550), (1888), (1889), (2493) are
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_24_8 = e20 | all_24_15 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_24_1 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2422), (2495) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) e22 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2496) implies:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) e22 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2497) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) $false
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2498) is inconsistent.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) ~ (all_24_1 = e20)
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_24_2 = e20 | all_24_7 = e20 | all_24_14 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2500) gives:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_24_2 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2501) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_4_1 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2502) implies:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_4_1 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (2503) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) $false
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2504) is inconsistent.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_24_7 = e20 | all_24_14 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2494) gives:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_24_8 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1930), (2506) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_6_2 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2507) implies:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_6_2 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1932), (2508) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ~ (all_14_7 = e20)
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2505) gives:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_24_7 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (2510) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_14_7 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2511) implies:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_14_7 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2509), (2512) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) $false
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2513) is inconsistent.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_24_14 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (550), (1888), (2514) are inconsistent
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #47.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_24_15 = e20
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (550), (2515) are inconsistent by sub-proof
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_24_2 = e22 | all_24_7 = e22 | all_24_14 = e22
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (560), (786), (1767), (1889), (2421), (2516)
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #28.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_22_11 = e22
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2517) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_14_10 = e22
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2518) implies:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_14_10 = e22
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (2519) imply:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) $false
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_24_15 = e23
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (550), (553), (783), (787), (1755),
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758), (1759), (1762), (2521) are inconsistent by
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_24_8 = e23 | all_24_15 = e23
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (550), (781), (1847), (2522) are
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.41 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | (2523) all_24_10 = e22 | all_24_11 = e22 | all_24_12 =
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | e22
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2523) gives:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | (2524) all_24_10 = e22
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2524) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | (2525) e22 = e20
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2525) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | (2526) $false
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2526) is inconsistent.
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | (2527) all_24_11 = e22 | all_24_12 = e22
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_24_11 = e22
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (347), (553), (783), (787), (1758), (1759),
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1762), (2528) are inconsistent by sub-proof #50.
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_24_12 = e22
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (2529) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (2530) e22 = e21
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2530) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (2531) $false
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2531) is inconsistent.
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | (2532) all_24_12 = e23
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (2532) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | (2533) e23 = e21
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2533) imply:
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | (2534) $false
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2534) is inconsistent.
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | (2535) all_26_4 = e13 | all_26_10 = e13
% 51.88/8.42 | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 51.88/8.42 | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | Case 1:
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | (2536) all_26_4 = e13
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | COMBINE_EQS: (789), (2536) imply:
% 51.88/8.42 | | | | | | | | | | | | | | (2537) all_12_9 = e13
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | SIMP: (2537) implies:
% 51.88/8.42 | | | | | | | | | | | | | | (2538) all_12_9 = e13
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | REDUCE: (1101), (2538) imply:
% 51.88/8.42 | | | | | | | | | | | | | | (2539) $false
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | CLOSE: (2539) is inconsistent.
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | (2540) all_26_10 = e13
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | COMBINE_EQS: (525), (2540) imply:
% 51.88/8.42 | | | | | | | | | | | | | | (2541) e13 = e10
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | REDUCE: (1131), (2541) imply:
% 51.88/8.42 | | | | | | | | | | | | | | (2542) $false
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | | CLOSE: (2542) is inconsistent.
% 51.88/8.42 | | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | (2543) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.88/8.42 | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | | REF_CLOSE: (669), (848), (852), (1115), (2543) are
% 51.88/8.42 | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.88/8.42 | | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | Case 2:
% 51.88/8.42 | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | (2544) all_20_11 = e12
% 51.88/8.42 | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | | REF_CLOSE: (667), (850), (2544) are inconsistent by sub-proof
% 51.88/8.42 | | | | | | | | | | #58.
% 51.88/8.42 | | | | | | | | | |
% 51.88/8.42 | | | | | | | | | End of split
% 51.88/8.42 | | | | | | | | |
% 51.88/8.42 | | | | | | | | End of split
% 51.88/8.42 | | | | | | | |
% 51.88/8.42 | | | | | | | End of split
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | End of split
% 51.88/8.42 | | | | | |
% 51.88/8.42 | | | | | End of split
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | End of split
% 51.88/8.42 | | | |
% 51.88/8.42 | | | End of split
% 51.88/8.42 | | |
% 51.88/8.42 | | End of split
% 51.88/8.42 | |
% 51.88/8.42 | Case 2:
% 51.88/8.42 | |
% 51.88/8.42 | | (2545) all_20_12 = e12 | all_20_12 = e11 | all_20_12 = e10
% 51.88/8.42 | |
% 51.88/8.42 | | BETA: splitting (2545) gives:
% 51.88/8.42 | |
% 51.88/8.42 | | Case 1:
% 51.88/8.42 | | |
% 51.88/8.42 | | | (2546) all_20_12 = e11
% 51.88/8.42 | | |
% 51.88/8.42 | | | COMBINE_EQS: (662), (2546) imply:
% 51.88/8.42 | | | (2547) all_12_12 = e11
% 51.88/8.42 | | |
% 51.88/8.42 | | | SIMP: (2547) implies:
% 51.88/8.42 | | | (2548) all_12_12 = e11
% 51.88/8.42 | | |
% 51.88/8.42 | | | REDUCE: (855), (2548) imply:
% 51.88/8.42 | | | (2549) $false
% 51.88/8.42 | | |
% 51.88/8.42 | | | CLOSE: (2549) is inconsistent.
% 51.88/8.42 | | |
% 51.88/8.42 | | Case 2:
% 51.88/8.42 | | |
% 51.88/8.42 | | | (2550) ~ (all_20_12 = e11)
% 51.88/8.42 | | | (2551) all_20_12 = e12 | all_20_12 = e10
% 51.88/8.42 | | |
% 51.88/8.42 | | | BETA: splitting (2551) gives:
% 51.88/8.42 | | |
% 51.88/8.42 | | | Case 1:
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | (2552) all_20_12 = e10
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | COMBINE_EQS: (662), (2552) imply:
% 51.88/8.42 | | | | (2553) all_12_12 = e10
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | SIMP: (2553) implies:
% 51.88/8.42 | | | | (2554) all_12_12 = e10
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (854), (2554) imply:
% 51.88/8.42 | | | | (2555) $false
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | CLOSE: (2555) is inconsistent.
% 51.88/8.42 | | | |
% 51.88/8.42 | | | Case 2:
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | (2556) all_20_12 = e12
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | COMBINE_EQS: (662), (2556) imply:
% 51.88/8.42 | | | | (2557) all_12_12 = e12
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | SIMP: (2557) implies:
% 51.88/8.42 | | | | (2558) all_12_12 = e12
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | COMBINE_EQS: (615), (2558) imply:
% 51.88/8.42 | | | | (2559) all_26_11 = e12
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (84), (2558) imply:
% 51.88/8.42 | | | | (2560) ~ (all_12_4 = e12)
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (72), (2558) imply:
% 51.88/8.42 | | | | (2561) ~ (all_12_8 = e12)
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (64), (2558) imply:
% 51.88/8.42 | | | | (2562) ~ (all_12_15 = e12)
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | SIMP: (2562) implies:
% 51.88/8.42 | | | | (2563) ~ (all_12_15 = e12)
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (855), (2558) imply:
% 51.88/8.42 | | | | (2564) ~ (e12 = e11)
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | REDUCE: (941), (2558) imply:
% 51.88/8.42 | | | | (2565) op1(e12, e12) = all_16_6
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | BETA: splitting (267) gives:
% 51.88/8.42 | | | |
% 51.88/8.42 | | | | Case 1:
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | (2566) all_20_14 = e13
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | COMBINE_EQS: (659), (2566) imply:
% 51.88/8.42 | | | | | (2567) all_12_15 = e13
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | SIMP: (2567) implies:
% 51.88/8.42 | | | | | (2568) all_12_15 = e13
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | REDUCE: (76), (2568) imply:
% 51.88/8.42 | | | | | (2569) ~ (all_12_7 = e13)
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | REDUCE: (67), (2568) imply:
% 51.88/8.42 | | | | | (2570) ~ (all_12_11 = e13)
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | REDUCE: (939), (2568) imply:
% 51.88/8.42 | | | | | (2571) op1(e13, e13) = all_16_2
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | GROUND_INST: instantiating (28) with all_12_11, all_16_6, e12, e12,
% 51.88/8.42 | | | | | simplifying with (113), (2565) gives:
% 51.88/8.42 | | | | | (2572) all_16_6 = all_12_11
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | GROUND_INST: instantiating (28) with e11, all_16_2, e13, e13,
% 51.88/8.42 | | | | | simplifying with (15), (2571) gives:
% 51.88/8.42 | | | | | (2573) all_16_2 = e11
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | BETA: splitting (215) gives:
% 51.88/8.42 | | | | |
% 51.88/8.42 | | | | | Case 1:
% 51.88/8.42 | | | | | |
% 51.88/8.42 | | | | | | (2574) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 &
% 51.88/8.42 | | | | | | all_16_6 = e10) | (all_16_8 = e13 & all_16_10 = e12 &
% 51.88/8.42 | | | | | | all_16_12 = e11 & all_16_14 = e10)
% 51.88/8.42 | | | | | |
% 51.88/8.42 | | | | | | BETA: splitting (2574) gives:
% 51.88/8.42 | | | | | |
% 51.88/8.42 | | | | | | Case 1:
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | (2575) all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 &
% 51.88/8.42 | | | | | | | all_16_6 = e10
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | ALPHA: (2575) implies:
% 51.88/8.42 | | | | | | | (2576) all_16_2 = e12
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | COMBINE_EQS: (2573), (2576) imply:
% 51.88/8.42 | | | | | | | (2577) e12 = e11
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | SIMP: (2577) implies:
% 51.88/8.42 | | | | | | | (2578) e12 = e11
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | REDUCE: (2564), (2578) imply:
% 51.88/8.42 | | | | | | | (2579) $false
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | CLOSE: (2579) is inconsistent.
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | Case 2:
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | (2580) all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 &
% 51.88/8.42 | | | | | | | all_16_14 = e10
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | ALPHA: (2580) implies:
% 51.88/8.42 | | | | | | | (2581) all_16_14 = e10
% 51.88/8.42 | | | | | | | (2582) all_16_8 = e13
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | REDUCE: (944), (2581) imply:
% 51.88/8.42 | | | | | | | (2583) op1(all_12_8, all_12_8) = e10
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | REDUCE: (942), (2582) imply:
% 51.88/8.42 | | | | | | | (2584) op1(all_12_10, all_12_10) = e13
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | BETA: splitting (269) gives:
% 51.88/8.42 | | | | | | |
% 51.88/8.42 | | | | | | | Case 1:
% 51.88/8.42 | | | | | | | |
% 51.88/8.42 | | | | | | | | (2585) all_20_11 = e13
% 51.88/8.42 | | | | | | | |
% 51.88/8.42 | | | | | | | | REF_CLOSE: (15), (28), (667), (853), (2584), (2585) are
% 51.88/8.42 | | | | | | | | inconsistent by sub-proof #55.
% 51.88/8.43 | | | | | | | |
% 51.88/8.43 | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | |
% 51.88/8.43 | | | | | | | | (2586) all_20_11 = e12 | all_20_11 = e11 | all_20_11 = e10
% 51.88/8.43 | | | | | | | |
% 51.88/8.43 | | | | | | | | BETA: splitting (2586) gives:
% 51.88/8.43 | | | | | | | |
% 51.88/8.43 | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | | (2587) all_20_11 = e11
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | | REF_CLOSE: (667), (853), (2587) are inconsistent by sub-proof
% 51.88/8.43 | | | | | | | | | #60.
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | | (2588) all_20_11 = e12 | all_20_11 = e10
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | | BETA: splitting (2588) gives:
% 51.88/8.43 | | | | | | | | |
% 51.88/8.43 | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | (2589) all_20_11 = e10
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | COMBINE_EQS: (667), (2589) imply:
% 51.88/8.43 | | | | | | | | | | (2590) all_12_10 = e10
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | SIMP: (2590) implies:
% 51.88/8.43 | | | | | | | | | | (2591) all_12_10 = e10
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | REDUCE: (78), (2591) imply:
% 51.88/8.43 | | | | | | | | | | (2592) ~ (all_12_6 = e10)
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | REDUCE: (74), (2591) imply:
% 51.88/8.43 | | | | | | | | | | (2593) ~ (all_12_8 = e10)
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | REDUCE: (2584), (2591) imply:
% 51.88/8.43 | | | | | | | | | | (2594) op1(e10, e10) = e13
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | BETA: splitting (273) gives:
% 51.88/8.43 | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | (2595) all_20_7 = e13
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | COMBINE_EQS: (669), (2595) imply:
% 51.88/8.43 | | | | | | | | | | | (2596) all_12_6 = e13
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | REDUCE: (83), (2596) imply:
% 51.88/8.43 | | | | | | | | | | | (2597) ~ (all_12_5 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | REDUCE: (79), (2596) imply:
% 51.88/8.43 | | | | | | | | | | | (2598) ~ (all_12_7 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | REDUCE: (2592), (2596) imply:
% 51.88/8.43 | | | | | | | | | | | (2599) ~ (e13 = e10)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_0, e13, e10, e10,
% 51.88/8.43 | | | | | | | | | | | simplifying with (103), (2594) gives:
% 51.88/8.43 | | | | | | | | | | | (2600) all_12_0 = e13
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | COMBINE_EQS: (471), (2600) imply:
% 51.88/8.43 | | | | | | | | | | | (2601) all_26_0 = e13
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | REDUCE: (102), (2600) imply:
% 51.88/8.43 | | | | | | | | | | | (2602) ~ (all_12_1 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | SIMP: (2602) implies:
% 51.88/8.43 | | | | | | | | | | | (2603) ~ (all_12_1 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | REDUCE: (99), (2600) imply:
% 51.88/8.43 | | | | | | | | | | | (2604) ~ (all_12_8 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | SIMP: (2604) implies:
% 51.88/8.43 | | | | | | | | | | | (2605) ~ (all_12_8 = e13)
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | BETA: splitting (278) gives:
% 51.88/8.43 | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | (2606) all_20_1 = e13
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | REF_CLOSE: (646), (2603), (2606) are inconsistent by
% 51.88/8.43 | | | | | | | | | | | | sub-proof #2.
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | (2607) all_20_1 = e12 | all_20_1 = e11 | all_20_1 = e10
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | BETA: splitting (2607) gives:
% 51.88/8.43 | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | (2608) all_20_1 = e11
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | COMBINE_EQS: (646), (2608) imply:
% 51.88/8.43 | | | | | | | | | | | | | (2609) all_12_1 = e11
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | SIMP: (2609) implies:
% 51.88/8.43 | | | | | | | | | | | | | (2610) all_12_1 = e11
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | REDUCE: (95), (2610) imply:
% 51.88/8.43 | | | | | | | | | | | | | (2611) ~ (all_12_5 = e11)
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | SIMP: (2611) implies:
% 51.88/8.43 | | | | | | | | | | | | | (2612) ~ (all_12_5 = e11)
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | REDUCE: (951), (2610) imply:
% 51.88/8.43 | | | | | | | | | | | | | (2613) op1(e11, e11) = all_16_28
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | BETA: splitting (275) gives:
% 51.88/8.43 | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | (2614) all_20_5 = e13
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | COMBINE_EQS: (644), (2614) imply:
% 51.88/8.43 | | | | | | | | | | | | | | (2615) all_12_5 = e13
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | SIMP: (2615) implies:
% 51.88/8.43 | | | | | | | | | | | | | | (2616) all_12_5 = e13
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | REDUCE: (2597), (2616) imply:
% 51.88/8.43 | | | | | | | | | | | | | | (2617) $false
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | CLOSE: (2617) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | (2618) all_20_5 = e12 | all_20_5 = e11 | all_20_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | BETA: splitting (2618) gives:
% 51.88/8.43 | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | (2619) all_20_5 = e11
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2619) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | (2620) all_12_5 = e11
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | SIMP: (2620) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | (2621) all_12_5 = e11
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | REDUCE: (2612), (2621) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | (2622) $false
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | CLOSE: (2622) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | (2623) all_20_5 = e12 | all_20_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 51.88/8.43 | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | (2624) all_20_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2624) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2625) all_12_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | SIMP: (2625) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2626) all_12_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | REDUCE: (851), (2626) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2627) $false
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | CLOSE: (2627) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | (2628) all_20_5 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (2628) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2629) all_12_5 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | SIMP: (2629) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2630) all_12_5 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | REDUCE: (82), (2630) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2631) ~ (all_12_7 = e12)
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2632) ~ (all_12_7 = e12)
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | REDUCE: (851), (2630) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2633) ~ (e12 = e10)
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | REDUCE: (108), (2630) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | (2634) op1(e11, e11) = e12
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | (2635) all_20_8 = e13
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2605), (2635) are inconsistent by
% 51.88/8.43 | | | | | | | | | | | | | | | | | sub-proof #53.
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | (2636) all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | (2637) all_26_0 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2637) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | (2638) e13 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | SIMP: (2638) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | (2639) e13 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (2599), (2639) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | (2640) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | CLOSE: (2640) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | (2641) all_26_1 = e10 | all_26_5 = e10 | all_26_11 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | BETA: splitting (2641) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2642) all_26_1 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2642) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2643) all_12_4 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | SIMP: (2643) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2644) all_12_4 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2644) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2645) ~ (all_12_7 = e10)
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | SIMP: (2645) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2646) ~ (all_12_7 = e10)
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2644) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2647) ~ (all_12_8 = e10)
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | REDUCE: (2560), (2644) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2648) ~ (e12 = e10)
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (2636) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2649) all_20_8 = e11
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2649) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2650) all_12_8 = e11
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (2583), (2650) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2651) op1(e11, e11) = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2652) all_20_6 = e13
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2652) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2653) all_12_7 = e13
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2569), (2653) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2654) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2654) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2655) all_20_6 = e12 | all_20_6 = e11 | all_20_6 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2655) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2656) all_20_6 = e11
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2656) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2657) all_12_7 = e11
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (2657) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2658) op1(e11, e11) = all_16_18
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_16_28, all_16_18, e11,
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (2613), (2658) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2659) all_16_18 = all_16_28
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_18, e11, e11,
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2634), (2658) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2660) all_16_18 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e10, all_16_18, e11, e11,
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2651), (2658) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2661) all_16_18 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2659), (2660) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2662) all_16_28 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2659), (2661) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2663) all_16_28 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2662), (2663) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2664) e12 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2664) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2665) e12 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2665) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2666) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2666) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | (2667) all_20_6 = e12 | all_20_6 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (2632), (2646), (2667) are inconsistent by
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2668) all_20_8 = e12 | all_20_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2669) all_20_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2669) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2670) all_12_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2593), (2670) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2671) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2671) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2672) all_20_8 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2672) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2673) all_12_8 = e12
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2561), (2673) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | (2674) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2674) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | (2675) all_26_5 = e10 | all_26_11 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2676) all_26_5 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (2676) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2677) all_12_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | SIMP: (2677) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2678) all_12_8 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (2593), (2678) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2679) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (2679) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2680) all_26_11 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2559), (2680) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2681) e12 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | SIMP: (2681) implies:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2682) e12 = e10
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2682) imply:
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | (2683) $false
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (2683) is inconsistent.
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | | |
% 51.88/8.43 | | | | | | | | | | | | | | | | End of split
% 51.88/8.43 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | (2684) all_20_1 = e12 | all_20_1 = e10
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | REF_CLOSE: (646), (845), (846), (2684) are inconsistent by
% 51.88/8.44 | | | | | | | | | | | | | sub-proof #1.
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | (2685) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REF_CLOSE: (669), (848), (852), (2592), (2685) are
% 51.88/8.44 | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | (2686) all_20_11 = e12
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | REF_CLOSE: (667), (850), (2686) are inconsistent by sub-proof
% 51.88/8.44 | | | | | | | | | | #58.
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | End of split
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | End of split
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | End of split
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | End of split
% 51.88/8.44 | | | | | |
% 51.88/8.44 | | | | | Case 2:
% 51.88/8.44 | | | | | |
% 51.88/8.44 | | | | | | (2687) (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.88/8.44 | | | | | | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 &
% 51.88/8.44 | | | | | | all_16_28 = e11 & all_16_30 = e10)
% 51.88/8.44 | | | | | |
% 51.88/8.44 | | | | | | BETA: splitting (2687) gives:
% 51.88/8.44 | | | | | |
% 51.88/8.44 | | | | | | Case 1:
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | (2688) all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.88/8.44 | | | | | | | all_16_22 = e10
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | ALPHA: (2688) implies:
% 51.88/8.44 | | | | | | | (2689) all_16_18 = e12
% 51.88/8.44 | | | | | | | (2690) all_16_16 = e13
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | REDUCE: (945), (2690) imply:
% 51.88/8.44 | | | | | | | (2691) op1(all_12_6, all_12_6) = e13
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | REDUCE: (946), (2689) imply:
% 51.88/8.44 | | | | | | | (2692) op1(all_12_7, all_12_7) = e12
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | BETA: splitting (269) gives:
% 51.88/8.44 | | | | | | |
% 51.88/8.44 | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | (2693) all_20_11 = e13
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | COMBINE_EQS: (667), (2693) imply:
% 51.88/8.44 | | | | | | | | (2694) all_12_10 = e13
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | SIMP: (2694) implies:
% 51.88/8.44 | | | | | | | | (2695) all_12_10 = e13
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | COMBINE_EQS: (617), (2695) imply:
% 51.88/8.44 | | | | | | | | (2696) all_26_13 = e13
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | REDUCE: (78), (2695) imply:
% 51.88/8.44 | | | | | | | | (2697) ~ (all_12_6 = e13)
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | REDUCE: (71), (2695) imply:
% 51.88/8.44 | | | | | | | | (2698) ~ (all_12_9 = e13)
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | REDUCE: (69), (2695) imply:
% 51.88/8.44 | | | | | | | | (2699) ~ (all_12_11 = e13)
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | BETA: splitting (273) gives:
% 51.88/8.44 | | | | | | | |
% 51.88/8.44 | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | (2700) all_20_7 = e13
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | COMBINE_EQS: (669), (2700) imply:
% 51.88/8.44 | | | | | | | | | (2701) all_12_6 = e13
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | REDUCE: (2697), (2701) imply:
% 51.88/8.44 | | | | | | | | | (2702) $false
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | CLOSE: (2702) is inconsistent.
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | (2703) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | BETA: splitting (2703) gives:
% 51.88/8.44 | | | | | | | | |
% 51.88/8.44 | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | (2704) all_20_7 = e11
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | COMBINE_EQS: (669), (2704) imply:
% 51.88/8.44 | | | | | | | | | | (2705) all_12_6 = e11
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | REDUCE: (852), (2705) imply:
% 51.88/8.44 | | | | | | | | | | (2706) $false
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | CLOSE: (2706) is inconsistent.
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | (2707) all_20_7 = e12 | all_20_7 = e10
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | BETA: splitting (2707) gives:
% 51.88/8.44 | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | (2708) all_20_7 = e10
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | COMBINE_EQS: (669), (2708) imply:
% 51.88/8.44 | | | | | | | | | | | (2709) all_12_6 = e10
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (87), (2709) imply:
% 51.88/8.44 | | | | | | | | | | | (2710) ~ (all_12_4 = e10)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (79), (2709) imply:
% 51.88/8.44 | | | | | | | | | | | (2711) ~ (all_12_7 = e10)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | SIMP: (2711) implies:
% 51.88/8.44 | | | | | | | | | | | (2712) ~ (all_12_7 = e10)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (2691), (2709) imply:
% 51.88/8.44 | | | | | | | | | | | (2713) op1(e10, e10) = e13
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_0, e13, e10, e10,
% 51.88/8.44 | | | | | | | | | | | simplifying with (103), (2713) gives:
% 51.88/8.44 | | | | | | | | | | | (2714) all_12_0 = e13
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (102), (2714) imply:
% 51.88/8.44 | | | | | | | | | | | (2715) ~ (all_12_1 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | SIMP: (2715) implies:
% 51.88/8.44 | | | | | | | | | | | (2716) ~ (all_12_1 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (100), (2714) imply:
% 51.88/8.44 | | | | | | | | | | | (2717) ~ (all_12_4 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | SIMP: (2717) implies:
% 51.88/8.44 | | | | | | | | | | | (2718) ~ (all_12_4 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | REDUCE: (99), (2714) imply:
% 51.88/8.44 | | | | | | | | | | | (2719) ~ (all_12_8 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | SIMP: (2719) implies:
% 51.88/8.44 | | | | | | | | | | | (2720) ~ (all_12_8 = e13)
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | BETA: splitting (278) gives:
% 51.88/8.44 | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | (2721) all_20_1 = e13
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | REF_CLOSE: (646), (2716), (2721) are inconsistent by
% 51.88/8.44 | | | | | | | | | | | | sub-proof #2.
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | (2722) ~ (all_20_1 = e13)
% 51.88/8.44 | | | | | | | | | | | | (2723) all_20_1 = e12 | all_20_1 = e11 | all_20_1 = e10
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | BETA: splitting (276) gives:
% 51.88/8.44 | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | (2724) all_20_4 = e13
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | COMBINE_EQS: (643), (2724) imply:
% 51.88/8.44 | | | | | | | | | | | | | (2725) all_12_4 = e13
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | SIMP: (2725) implies:
% 51.88/8.44 | | | | | | | | | | | | | (2726) all_12_4 = e13
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | REDUCE: (2718), (2726) imply:
% 51.88/8.44 | | | | | | | | | | | | | (2727) $false
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | CLOSE: (2727) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | (2728) all_20_4 = e12 | all_20_4 = e11 | all_20_4 = e10
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 51.88/8.44 | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | (2729) all_20_4 = e11
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | COMBINE_EQS: (643), (2729) imply:
% 51.88/8.44 | | | | | | | | | | | | | | (2730) all_12_4 = e11
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | SIMP: (2730) implies:
% 51.88/8.44 | | | | | | | | | | | | | | (2731) all_12_4 = e11
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | REDUCE: (86), (2731) imply:
% 51.88/8.44 | | | | | | | | | | | | | | (2732) ~ (all_12_7 = e11)
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | SIMP: (2732) implies:
% 51.88/8.44 | | | | | | | | | | | | | | (2733) ~ (all_12_7 = e11)
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | REDUCE: (85), (2731) imply:
% 51.88/8.44 | | | | | | | | | | | | | | (2734) ~ (all_12_8 = e11)
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | SIMP: (2734) implies:
% 51.88/8.44 | | | | | | | | | | | | | | (2735) ~ (all_12_8 = e11)
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | BETA: splitting (2723) gives:
% 51.88/8.44 | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | (2736) all_20_1 = e11
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | COMBINE_EQS: (646), (2736) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | (2737) all_12_1 = e11
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | SIMP: (2737) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | (2738) all_12_1 = e11
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | REDUCE: (94), (2738) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | (2739) ~ (all_12_9 = e11)
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | SIMP: (2739) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | (2740) ~ (all_12_9 = e11)
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | REDUCE: (2716), (2738) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | (2741) ~ (e13 = e11)
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | SIMP: (2741) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | (2742) ~ (e13 = e11)
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 51.88/8.44 | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | (2743) all_20_9 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2743) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | (2744) all_12_9 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | SIMP: (2744) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | (2745) all_12_9 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | REDUCE: (2698), (2745) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | (2746) $false
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | CLOSE: (2746) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | (2747) all_20_9 = e12 | all_20_9 = e11 | all_20_9 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | (2748) all_20_8 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2720), (2748) are inconsistent by
% 51.88/8.44 | | | | | | | | | | | | | | | | | sub-proof #53.
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | (2749) all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | (2750) all_20_6 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2750) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | (2751) all_12_7 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | SIMP: (2751) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | (2752) all_12_7 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | REDUCE: (2569), (2752) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | (2753) $false
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | CLOSE: (2753) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | (2754) all_20_6 = e12 | all_20_6 = e11 | all_20_6 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | (2755) all_20_8 = e11
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2735), (2755) are inconsistent by
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | (2756) ~ (all_20_8 = e11)
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | (2757) all_20_8 = e12 | all_20_8 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (2757) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2758) all_20_8 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2758) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2759) all_12_8 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | SIMP: (2759) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2760) all_12_8 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (2760) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2761) all_26_5 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2760) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2762) ~ (all_12_9 = e10)
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | SIMP: (2762) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | (2763) ~ (all_12_9 = e10)
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2754) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | (2764) all_20_6 = e11
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2764) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | (2765) all_12_7 = e11
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | SIMP: (2765) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | (2766) all_12_7 = e11
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2733), (2766) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | (2767) $false
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2767) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | (2768) all_20_6 = e12 | all_20_6 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2769) all_20_6 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2769) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2770) all_12_7 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2770) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2771) all_12_7 = e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2712), (2771) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2772) $false
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2772) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2773) all_20_6 = e12
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2773) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2774) all_12_7 = e12
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2774) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2775) all_12_7 = e12
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2692), (2775) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | (2776) op1(e12, e12) = e12
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | (2777) all_20_10 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (2777) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | (2778) all_12_11 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2778) implies:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | (2779) all_12_11 = e13
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2570), (2779) imply:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | (2780) $false
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2780) is inconsistent.
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | (2781) all_20_10 = e12 | all_20_10 = e11 | all_20_10 =
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | e10
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_20_10 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (2782) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_12_11 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2783) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_12_11 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2784) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2785) op1(e12, e12) = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_26_4 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2786) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_12_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2787) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_12_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (2788) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2789) op1(e12, e12) = all_16_12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_16_12, e12, e12,
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2776), (2789) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_16_12 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_16_12, e12, e12,
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2785), (2789) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_16_12 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2790), (2791) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2792) e12 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2792) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2793) e12 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2564), (2793) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2794) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2794) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2795) ~ (all_26_4 = e12)
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (2795) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_12_9 = e12)
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_20_9 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2797) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_12_9 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2798) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_12_9 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2740), (2799) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2800) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_20_9 = e12 | all_20_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2801) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_20_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2802) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_12_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2803) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_12_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2763), (2804) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2805) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_20_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2806) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_12_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_12_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2796), (2808) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2809) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_20_10 = e11)
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (2810) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | (2811) ~ (all_12_11 = e11)
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_20_9 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2812) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_12_9 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2740), (2813) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2814) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2814) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_20_9 = e11)
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_20_9 = e12 | all_20_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2816) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_20_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2817) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_12_9 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2763), (2818) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2819) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_20_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2820) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_12_9 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2821) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_26_4 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_26_4 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2822), (2823) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) e12 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2824) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) e12 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2564), (2825) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2826) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_26_5 = e11 | all_26_6 = e11 | all_26_13 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_26_5 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2761), (2828) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) e11 = e10
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2829) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2830) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_26_6 = e11 | all_26_13 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2831) gives:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_26_6 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (2832) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_12_11 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2833) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_12_11 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2811), (2834) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2835) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_26_13 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2696), (2836) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) e13 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2837) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) e13 = e11
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2742), (2838) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2839) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | (2840) all_20_8 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2840) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | (2841) all_12_8 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | SIMP: (2841) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | (2842) all_12_8 = e12
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (2561), (2842) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | (2843) $false
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (2843) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | (2844) all_20_1 = e12 | all_20_1 = e10
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | REF_CLOSE: (646), (845), (846), (2844) are inconsistent by
% 51.88/8.45 | | | | | | | | | | | | | | | sub-proof #1.
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | (2845) all_20_4 = e12 | all_20_4 = e10
% 51.88/8.45 | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 51.88/8.45 | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | Case 1:
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | (2846) all_20_4 = e10
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | COMBINE_EQS: (643), (2846) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | (2847) all_12_4 = e10
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | SIMP: (2847) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | (2848) all_12_4 = e10
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | REDUCE: (2710), (2848) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | (2849) $false
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | CLOSE: (2849) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | Case 2:
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | (2850) all_20_4 = e12
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | COMBINE_EQS: (643), (2850) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | (2851) all_12_4 = e12
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | SIMP: (2851) implies:
% 51.88/8.45 | | | | | | | | | | | | | | | (2852) all_12_4 = e12
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | REDUCE: (2560), (2852) imply:
% 51.88/8.45 | | | | | | | | | | | | | | | (2853) $false
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | | CLOSE: (2853) is inconsistent.
% 51.88/8.45 | | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | | |
% 51.88/8.45 | | | | | | | | | | | End of split
% 51.88/8.45 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | Case 2:
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | (2854) all_20_7 = e12
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | COMBINE_EQS: (669), (2854) imply:
% 51.88/8.46 | | | | | | | | | | | (2855) all_12_6 = e12
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | REDUCE: (848), (2855) imply:
% 51.88/8.46 | | | | | | | | | | | (2856) $false
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | CLOSE: (2856) is inconsistent.
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | End of split
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | End of split
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | End of split
% 51.88/8.46 | | | | | | | |
% 51.88/8.46 | | | | | | | Case 2:
% 51.88/8.46 | | | | | | | |
% 51.88/8.46 | | | | | | | | (2857) all_20_11 = e12 | all_20_11 = e11 | all_20_11 = e10
% 51.88/8.46 | | | | | | | |
% 51.88/8.46 | | | | | | | | BETA: splitting (2857) gives:
% 51.88/8.46 | | | | | | | |
% 51.88/8.46 | | | | | | | | Case 1:
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | | (2858) all_20_11 = e11
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | | REF_CLOSE: (667), (853), (2858) are inconsistent by sub-proof
% 51.88/8.46 | | | | | | | | | #60.
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | Case 2:
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | | (2859) all_20_11 = e12 | all_20_11 = e10
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | | BETA: splitting (2859) gives:
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | | Case 1:
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | (2860) all_20_11 = e10
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | COMBINE_EQS: (667), (2860) imply:
% 51.88/8.46 | | | | | | | | | | (2861) all_12_10 = e10
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | SIMP: (2861) implies:
% 51.88/8.46 | | | | | | | | | | (2862) all_12_10 = e10
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | REDUCE: (78), (2862) imply:
% 51.88/8.46 | | | | | | | | | | (2863) ~ (all_12_6 = e10)
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | BETA: splitting (273) gives:
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | Case 1:
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | (2864) all_20_7 = e13
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | COMBINE_EQS: (669), (2864) imply:
% 51.88/8.46 | | | | | | | | | | | (2865) all_12_6 = e13
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | REDUCE: (852), (2865) imply:
% 51.88/8.46 | | | | | | | | | | | (2866) ~ (e13 = e11)
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | REDUCE: (2691), (2865) imply:
% 51.88/8.46 | | | | | | | | | | | (2867) op1(e13, e13) = e13
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | REF_CLOSE: (15), (28), (2866), (2867) are inconsistent by
% 51.88/8.46 | | | | | | | | | | | sub-proof #56.
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | Case 2:
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | (2868) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | | REF_CLOSE: (669), (848), (852), (2863), (2868) are
% 51.88/8.46 | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.88/8.46 | | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | End of split
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | Case 2:
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | (2869) all_20_11 = e12
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | | REF_CLOSE: (667), (850), (2869) are inconsistent by sub-proof
% 51.88/8.46 | | | | | | | | | | #58.
% 51.88/8.46 | | | | | | | | | |
% 51.88/8.46 | | | | | | | | | End of split
% 51.88/8.46 | | | | | | | | |
% 51.88/8.46 | | | | | | | | End of split
% 51.88/8.46 | | | | | | | |
% 51.88/8.46 | | | | | | | End of split
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | Case 2:
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | (2870) all_16_24 = e13 & all_16_26 = e12 & all_16_28 = e11 &
% 51.88/8.46 | | | | | | | all_16_30 = e10
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | ALPHA: (2870) implies:
% 51.88/8.46 | | | | | | | (2871) all_16_24 = e13
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | COMBINE_EQS: (955), (2871) imply:
% 51.88/8.46 | | | | | | | (2872) all_12_11 = e13
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | REDUCE: (2570), (2872) imply:
% 51.88/8.46 | | | | | | | (2873) $false
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | CLOSE: (2873) is inconsistent.
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | End of split
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | End of split
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | Case 2:
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | | (2874) all_20_14 = e12 | all_20_14 = e11 | all_20_14 = e10
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | | BETA: splitting (2874) gives:
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | | Case 1:
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | | (2875) all_20_14 = e11
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | | REF_CLOSE: (659), (861), (2875) are inconsistent by sub-proof #63.
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | Case 2:
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | | (2876) all_20_14 = e12 | all_20_14 = e10
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | | BETA: splitting (2876) gives:
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | | Case 1:
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | (2877) all_20_14 = e10
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | REF_CLOSE: (659), (859), (2877) are inconsistent by sub-proof #62.
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | Case 2:
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | (2878) all_20_14 = e12
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | COMBINE_EQS: (659), (2878) imply:
% 51.88/8.46 | | | | | | | (2879) all_12_15 = e12
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | SIMP: (2879) implies:
% 51.88/8.46 | | | | | | | (2880) all_12_15 = e12
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | REDUCE: (2563), (2880) imply:
% 51.88/8.46 | | | | | | | (2881) $false
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | | CLOSE: (2881) is inconsistent.
% 51.88/8.46 | | | | | | |
% 51.88/8.46 | | | | | | End of split
% 51.88/8.46 | | | | | |
% 51.88/8.46 | | | | | End of split
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | End of split
% 51.88/8.46 | | | |
% 51.88/8.46 | | | End of split
% 51.88/8.46 | | |
% 51.88/8.46 | | End of split
% 51.88/8.46 | |
% 51.88/8.46 | End of split
% 51.88/8.46 |
% 51.88/8.46 End of proof
% 51.88/8.46
% 51.88/8.46 Sub-proof #1 shows that the following formulas are inconsistent:
% 51.88/8.46 ----------------------------------------------------------------
% 51.88/8.46 (1) all_20_1 = e12 | all_20_1 = e10
% 51.88/8.46 (2) all_20_1 = all_12_1
% 51.88/8.46 (3) ~ (all_12_1 = e10)
% 51.88/8.46 (4) ~ (all_12_1 = e12)
% 51.88/8.46
% 51.88/8.46 Begin of proof
% 51.88/8.46 |
% 51.88/8.46 | BETA: splitting (1) gives:
% 51.88/8.46 |
% 51.88/8.46 | Case 1:
% 51.88/8.46 | |
% 51.88/8.46 | | (5) all_20_1 = e10
% 51.88/8.46 | |
% 51.88/8.46 | | COMBINE_EQS: (2), (5) imply:
% 51.88/8.46 | | (6) all_12_1 = e10
% 51.88/8.46 | |
% 51.88/8.46 | | SIMP: (6) implies:
% 51.88/8.46 | | (7) all_12_1 = e10
% 51.88/8.46 | |
% 51.88/8.46 | | REDUCE: (3), (7) imply:
% 51.88/8.46 | | (8) $false
% 51.88/8.46 | |
% 51.88/8.46 | | CLOSE: (8) is inconsistent.
% 51.88/8.46 | |
% 51.88/8.46 | Case 2:
% 51.88/8.46 | |
% 51.88/8.46 | | (9) all_20_1 = e12
% 51.88/8.46 | |
% 51.88/8.46 | | COMBINE_EQS: (2), (9) imply:
% 51.88/8.46 | | (10) all_12_1 = e12
% 51.88/8.46 | |
% 51.88/8.46 | | SIMP: (10) implies:
% 51.88/8.46 | | (11) all_12_1 = e12
% 51.88/8.46 | |
% 51.88/8.46 | | REDUCE: (4), (11) imply:
% 51.88/8.46 | | (12) $false
% 51.88/8.46 | |
% 51.88/8.46 | | CLOSE: (12) is inconsistent.
% 51.88/8.46 | |
% 51.88/8.46 | End of split
% 51.88/8.46 |
% 51.88/8.46 End of proof
% 51.88/8.46
% 51.88/8.46 Sub-proof #2 shows that the following formulas are inconsistent:
% 51.88/8.46 ----------------------------------------------------------------
% 51.88/8.46 (1) all_20_1 = all_12_1
% 51.88/8.46 (2) all_20_1 = e13
% 51.88/8.46 (3) ~ (all_12_1 = e13)
% 51.88/8.46
% 51.88/8.46 Begin of proof
% 51.88/8.46 |
% 51.88/8.46 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.46 | (4) all_12_1 = e13
% 51.88/8.46 |
% 51.88/8.46 | SIMP: (4) implies:
% 51.88/8.46 | (5) all_12_1 = e13
% 51.88/8.46 |
% 51.88/8.46 | REDUCE: (3), (5) imply:
% 51.88/8.46 | (6) $false
% 51.88/8.46 |
% 51.88/8.46 | CLOSE: (6) is inconsistent.
% 51.88/8.46 |
% 51.88/8.46 End of proof
% 51.88/8.46
% 51.88/8.46 Sub-proof #3 shows that the following formulas are inconsistent:
% 51.88/8.46 ----------------------------------------------------------------
% 51.88/8.46 (1) ~ (all_12_6 = e10)
% 51.88/8.46 (2) all_20_7 = all_12_6
% 51.88/8.46 (3) ~ (all_12_6 = e12)
% 51.88/8.46 (4) ~ (all_12_6 = e11)
% 51.88/8.46 (5) all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 51.88/8.46
% 51.88/8.46 Begin of proof
% 51.88/8.46 |
% 51.88/8.46 | BETA: splitting (5) gives:
% 51.88/8.46 |
% 51.88/8.46 | Case 1:
% 51.88/8.46 | |
% 51.88/8.46 | | (6) all_20_7 = e11
% 51.88/8.46 | |
% 51.88/8.46 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #57.
% 51.88/8.46 | |
% 51.88/8.46 | Case 2:
% 51.88/8.46 | |
% 51.88/8.46 | | (7) all_20_7 = e12 | all_20_7 = e10
% 51.88/8.46 | |
% 51.88/8.46 | | BETA: splitting (7) gives:
% 51.88/8.46 | |
% 51.88/8.46 | | Case 1:
% 51.88/8.46 | | |
% 51.88/8.46 | | | (8) all_20_7 = e10
% 51.88/8.46 | | |
% 51.88/8.46 | | | COMBINE_EQS: (2), (8) imply:
% 51.88/8.46 | | | (9) all_12_6 = e10
% 51.88/8.46 | | |
% 51.88/8.46 | | | SIMP: (9) implies:
% 51.88/8.46 | | | (10) all_12_6 = e10
% 51.88/8.46 | | |
% 51.88/8.46 | | | REDUCE: (1), (10) imply:
% 51.88/8.46 | | | (11) $false
% 51.88/8.46 | | |
% 51.88/8.46 | | | CLOSE: (11) is inconsistent.
% 51.88/8.46 | | |
% 51.88/8.46 | | Case 2:
% 51.88/8.46 | | |
% 51.88/8.46 | | | (12) all_20_7 = e12
% 51.88/8.46 | | |
% 51.88/8.46 | | | REF_CLOSE: (2), (3), (12) are inconsistent by sub-proof #54.
% 51.88/8.46 | | |
% 51.88/8.46 | | End of split
% 51.88/8.46 | |
% 51.88/8.46 | End of split
% 51.88/8.46 |
% 51.88/8.46 End of proof
% 51.88/8.46
% 51.88/8.46 Sub-proof #4 shows that the following formulas are inconsistent:
% 51.88/8.46 ----------------------------------------------------------------
% 51.88/8.46 (1) all_24_7 = all_14_7
% 51.88/8.46 (2) all_24_1 = e22
% 51.88/8.46 (3) ~ (all_14_7 = e22)
% 51.88/8.46 (4) all_24_1 = e21 | all_24_2 = e21 | all_24_7 = e21 | all_24_14 = e21
% 51.88/8.46 (5) ~ (all_4_1 = e21)
% 51.88/8.46 (6) ~ (e22 = e21)
% 51.88/8.46 (7) ~ (e23 = e21)
% 51.88/8.46 (8) all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21
% 51.88/8.46 (9) all_24_2 = all_4_1
% 51.88/8.46 (10) all_24_3 = e23
% 51.88/8.46 (11) all_24_8 = all_6_2
% 51.88/8.46 (12) ~ (all_14_7 = all_6_2)
% 51.88/8.46 (13) all_24_14 = e23
% 51.88/8.46 (14) all_24_15 = e22
% 51.88/8.46 (15) ~ (all_14_7 = e23)
% 51.88/8.46
% 51.88/8.46 Begin of proof
% 51.88/8.46 |
% 51.88/8.46 | BETA: splitting (4) gives:
% 51.88/8.46 |
% 51.88/8.46 | Case 1:
% 51.88/8.46 | |
% 51.88/8.46 | | (16) all_24_1 = e21
% 51.88/8.46 | |
% 51.88/8.46 | | COMBINE_EQS: (2), (16) imply:
% 51.88/8.46 | | (17) e22 = e21
% 51.88/8.46 | |
% 51.88/8.46 | | REDUCE: (6), (17) imply:
% 51.88/8.46 | | (18) $false
% 51.88/8.46 | |
% 51.88/8.46 | | CLOSE: (18) is inconsistent.
% 51.88/8.46 | |
% 51.88/8.46 | Case 2:
% 51.88/8.46 | |
% 51.88/8.46 | | (19) all_24_2 = e21 | all_24_7 = e21 | all_24_14 = e21
% 51.88/8.46 | |
% 51.88/8.46 | | BETA: splitting (19) gives:
% 51.88/8.46 | |
% 51.88/8.46 | | Case 1:
% 51.88/8.46 | | |
% 51.88/8.46 | | | (20) all_24_2 = e21
% 51.88/8.46 | | |
% 51.88/8.46 | | | COMBINE_EQS: (9), (20) imply:
% 51.88/8.46 | | | (21) all_4_1 = e21
% 51.88/8.46 | | |
% 51.88/8.46 | | | SIMP: (21) implies:
% 51.88/8.46 | | | (22) all_4_1 = e21
% 51.88/8.46 | | |
% 51.88/8.46 | | | REDUCE: (5), (22) imply:
% 51.88/8.46 | | | (23) $false
% 51.88/8.46 | | |
% 51.88/8.46 | | | CLOSE: (23) is inconsistent.
% 51.88/8.46 | | |
% 51.88/8.46 | | Case 2:
% 51.88/8.46 | | |
% 51.88/8.46 | | | (24) all_24_7 = e21 | all_24_14 = e21
% 51.88/8.46 | | |
% 51.88/8.46 | | | BETA: splitting (24) gives:
% 51.88/8.46 | | |
% 51.88/8.46 | | | Case 1:
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | (25) all_24_7 = e21
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | COMBINE_EQS: (1), (25) imply:
% 51.88/8.46 | | | | (26) all_14_7 = e21
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | SIMP: (26) implies:
% 51.88/8.46 | | | | (27) all_14_7 = e21
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | REDUCE: (12), (27) imply:
% 51.88/8.46 | | | | (28) ~ (all_6_2 = e21)
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | SIMP: (28) implies:
% 51.88/8.46 | | | | (29) ~ (all_6_2 = e21)
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | REDUCE: (15), (27) imply:
% 51.88/8.46 | | | | (30) ~ (e23 = e21)
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | REDUCE: (3), (27) imply:
% 51.88/8.46 | | | | (31) ~ (e22 = e21)
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | BETA: splitting (8) gives:
% 51.88/8.46 | | | |
% 51.88/8.46 | | | | Case 1:
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | | (32) all_24_3 = e21
% 51.88/8.46 | | | | |
% 51.88/8.46 | | | | | COMBINE_EQS: (10), (32) imply:
% 51.88/8.46 | | | | | (33) e23 = e21
% 51.88/8.46 | | | | |
% 51.88/8.47 | | | | | SIMP: (33) implies:
% 51.88/8.47 | | | | | (34) e23 = e21
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | | REDUCE: (7), (34) imply:
% 51.88/8.47 | | | | | (35) $false
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | | CLOSE: (35) is inconsistent.
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | Case 2:
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | | (36) all_24_8 = e21 | all_24_15 = e21
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | | BETA: splitting (36) gives:
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | | Case 1:
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | (37) all_24_8 = e21
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | COMBINE_EQS: (11), (37) imply:
% 51.88/8.47 | | | | | | (38) all_6_2 = e21
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | SIMP: (38) implies:
% 51.88/8.47 | | | | | | (39) all_6_2 = e21
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | REDUCE: (29), (39) imply:
% 51.88/8.47 | | | | | | (40) $false
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | CLOSE: (40) is inconsistent.
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | Case 2:
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | (41) all_24_15 = e21
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | | REF_CLOSE: (6), (14), (41) are inconsistent by sub-proof #5.
% 51.88/8.47 | | | | | |
% 51.88/8.47 | | | | | End of split
% 51.88/8.47 | | | | |
% 51.88/8.47 | | | | End of split
% 51.88/8.47 | | | |
% 51.88/8.47 | | | Case 2:
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | (42) all_24_14 = e21
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | COMBINE_EQS: (13), (42) imply:
% 51.88/8.47 | | | | (43) e23 = e21
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | SIMP: (43) implies:
% 51.88/8.47 | | | | (44) e23 = e21
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | REDUCE: (7), (44) imply:
% 51.88/8.47 | | | | (45) $false
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | CLOSE: (45) is inconsistent.
% 51.88/8.47 | | | |
% 51.88/8.47 | | | End of split
% 51.88/8.47 | | |
% 51.88/8.47 | | End of split
% 51.88/8.47 | |
% 51.88/8.47 | End of split
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #5 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_24_15 = e22
% 51.88/8.47 (2) all_24_15 = e21
% 51.88/8.47 (3) ~ (e22 = e21)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.47 | (4) e22 = e21
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (4) implies:
% 51.88/8.47 | (5) e22 = e21
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (3), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #6 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_24_6 = e23
% 51.88/8.47 (2) all_24_6 = e21
% 51.88/8.47 (3) ~ (e23 = e21)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.47 | (4) e23 = e21
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (4) implies:
% 51.88/8.47 | (5) e23 = e21
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (3), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #7 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) ~ (all_12_5 = e12)
% 51.88/8.47 (2) ~ (e12 = e11)
% 51.88/8.47 (3) all_26_7 = all_12_7
% 51.88/8.47 (4) ~ (all_12_8 = e13)
% 51.88/8.47 (5) all_26_6 = e13
% 51.88/8.47 (6) ~ (all_12_4 = all_12_8)
% 51.88/8.47 (7) all_26_1 = all_12_4
% 51.88/8.47 (8) all_26_14 = e13
% 51.88/8.47 (9) all_26_2 = all_12_5
% 51.88/8.47 (10) all_26_1 = e12 | all_26_2 = e12 | all_26_7 = e12 | all_26_14 = e12
% 51.88/8.47 (11) ~ (e12 = e10)
% 51.88/8.47 (12) ~ (e13 = e12)
% 51.88/8.47 (13) all_26_4 = e12 | all_26_5 = e12 | all_26_6 = e12 | all_26_13 = e12
% 51.88/8.47 (14) all_26_5 = all_12_8
% 51.88/8.47 (15) all_26_13 = e10
% 51.88/8.47 (16) ~ (all_12_7 = e12)
% 51.88/8.47 (17) all_26_4 = e11
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | BETA: splitting (13) gives:
% 51.88/8.47 |
% 51.88/8.47 | Case 1:
% 51.88/8.47 | |
% 51.88/8.47 | | (18) all_26_4 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (17), (18) imply:
% 51.88/8.47 | | (19) e12 = e11
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (2), (19) imply:
% 51.88/8.47 | | (20) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (20) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | Case 2:
% 51.88/8.47 | |
% 51.88/8.47 | | (21) all_26_5 = e12 | all_26_6 = e12 | all_26_13 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | BETA: splitting (21) gives:
% 51.88/8.47 | |
% 51.88/8.47 | | Case 1:
% 51.88/8.47 | | |
% 51.88/8.47 | | | (22) all_26_5 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | COMBINE_EQS: (14), (22) imply:
% 51.88/8.47 | | | (23) all_12_8 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | SIMP: (23) implies:
% 51.88/8.47 | | | (24) all_12_8 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | REDUCE: (6), (24) imply:
% 51.88/8.47 | | | (25) ~ (all_12_4 = e12)
% 51.88/8.47 | | |
% 51.88/8.47 | | | REDUCE: (4), (24) imply:
% 51.88/8.47 | | | (26) ~ (e13 = e12)
% 51.88/8.47 | | |
% 51.88/8.47 | | | BETA: splitting (10) gives:
% 51.88/8.47 | | |
% 51.88/8.47 | | | Case 1:
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | (27) all_26_1 = e12
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | COMBINE_EQS: (7), (27) imply:
% 51.88/8.47 | | | | (28) all_12_4 = e12
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | SIMP: (28) implies:
% 51.88/8.47 | | | | (29) all_12_4 = e12
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | REDUCE: (25), (29) imply:
% 51.88/8.47 | | | | (30) $false
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | CLOSE: (30) is inconsistent.
% 51.88/8.47 | | | |
% 51.88/8.47 | | | Case 2:
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | (31) all_26_2 = e12 | all_26_7 = e12 | all_26_14 = e12
% 51.88/8.47 | | | |
% 51.88/8.47 | | | | REF_CLOSE: (1), (3), (8), (9), (12), (16), (31) are inconsistent by
% 51.88/8.47 | | | | sub-proof #9.
% 51.88/8.47 | | | |
% 51.88/8.47 | | | End of split
% 51.88/8.47 | | |
% 51.88/8.47 | | Case 2:
% 51.88/8.47 | | |
% 51.88/8.47 | | | (32) all_26_6 = e12 | all_26_13 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | REF_CLOSE: (5), (11), (12), (15), (32) are inconsistent by sub-proof #8.
% 51.88/8.47 | | |
% 51.88/8.47 | | End of split
% 51.88/8.47 | |
% 51.88/8.47 | End of split
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #8 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_26_6 = e13
% 51.88/8.47 (2) ~ (e12 = e10)
% 51.88/8.47 (3) ~ (e13 = e12)
% 51.88/8.47 (4) all_26_13 = e10
% 51.88/8.47 (5) all_26_6 = e12 | all_26_13 = e12
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | BETA: splitting (5) gives:
% 51.88/8.47 |
% 51.88/8.47 | Case 1:
% 51.88/8.47 | |
% 51.88/8.47 | | (6) all_26_6 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (1), (6) imply:
% 51.88/8.47 | | (7) e13 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | SIMP: (7) implies:
% 51.88/8.47 | | (8) e13 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (3), (8) imply:
% 51.88/8.47 | | (9) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (9) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | Case 2:
% 51.88/8.47 | |
% 51.88/8.47 | | (10) all_26_13 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (4), (10) imply:
% 51.88/8.47 | | (11) e12 = e10
% 51.88/8.47 | |
% 51.88/8.47 | | SIMP: (11) implies:
% 51.88/8.47 | | (12) e12 = e10
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (2), (12) imply:
% 51.88/8.47 | | (13) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (13) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | End of split
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #9 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) ~ (all_12_5 = e12)
% 51.88/8.47 (2) all_26_7 = all_12_7
% 51.88/8.47 (3) all_26_14 = e13
% 51.88/8.47 (4) all_26_2 = all_12_5
% 51.88/8.47 (5) all_26_2 = e12 | all_26_7 = e12 | all_26_14 = e12
% 51.88/8.47 (6) ~ (e13 = e12)
% 51.88/8.47 (7) ~ (all_12_7 = e12)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | BETA: splitting (5) gives:
% 51.88/8.47 |
% 51.88/8.47 | Case 1:
% 51.88/8.47 | |
% 51.88/8.47 | | (8) all_26_2 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (4), (8) imply:
% 51.88/8.47 | | (9) all_12_5 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | SIMP: (9) implies:
% 51.88/8.47 | | (10) all_12_5 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (1), (10) imply:
% 51.88/8.47 | | (11) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (11) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | Case 2:
% 51.88/8.47 | |
% 51.88/8.47 | | (12) all_26_7 = e12 | all_26_14 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | BETA: splitting (12) gives:
% 51.88/8.47 | |
% 51.88/8.47 | | Case 1:
% 51.88/8.47 | | |
% 51.88/8.47 | | | (13) all_26_7 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | COMBINE_EQS: (2), (13) imply:
% 51.88/8.47 | | | (14) all_12_7 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | REDUCE: (7), (14) imply:
% 51.88/8.47 | | | (15) $false
% 51.88/8.47 | | |
% 51.88/8.47 | | | CLOSE: (15) is inconsistent.
% 51.88/8.47 | | |
% 51.88/8.47 | | Case 2:
% 51.88/8.47 | | |
% 51.88/8.47 | | | (16) all_26_14 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | COMBINE_EQS: (3), (16) imply:
% 51.88/8.47 | | | (17) e13 = e12
% 51.88/8.47 | | |
% 51.88/8.47 | | | REDUCE: (6), (17) imply:
% 51.88/8.47 | | | (18) $false
% 51.88/8.47 | | |
% 51.88/8.47 | | | CLOSE: (18) is inconsistent.
% 51.88/8.47 | | |
% 51.88/8.47 | | End of split
% 51.88/8.47 | |
% 51.88/8.47 | End of split
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #10 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_26_5 = e12
% 51.88/8.47 (2) all_26_5 = e11
% 51.88/8.47 (3) ~ (e12 = e11)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.47 | (4) e12 = e11
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (4) implies:
% 51.88/8.47 | (5) e12 = e11
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (3), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #11 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_20_6 = e12 | all_20_6 = e10
% 51.88/8.47 (2) all_20_6 = all_12_7
% 51.88/8.47 (3) ~ (all_12_7 = e10)
% 51.88/8.47 (4) ~ (all_12_7 = e12)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | BETA: splitting (1) gives:
% 51.88/8.47 |
% 51.88/8.47 | Case 1:
% 51.88/8.47 | |
% 51.88/8.47 | | (5) all_20_6 = e10
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (2), (5) imply:
% 51.88/8.47 | | (6) all_12_7 = e10
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (3), (6) imply:
% 51.88/8.47 | | (7) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (7) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | Case 2:
% 51.88/8.47 | |
% 51.88/8.47 | | (8) all_20_6 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | COMBINE_EQS: (2), (8) imply:
% 51.88/8.47 | | (9) all_12_7 = e12
% 51.88/8.47 | |
% 51.88/8.47 | | REDUCE: (4), (9) imply:
% 51.88/8.47 | | (10) $false
% 51.88/8.47 | |
% 51.88/8.47 | | CLOSE: (10) is inconsistent.
% 51.88/8.47 | |
% 51.88/8.47 | End of split
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #12 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_20_8 = all_12_8
% 51.88/8.47 (2) all_20_8 = e11
% 51.88/8.47 (3) ~ (all_12_8 = e11)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.47 | (4) all_12_8 = e11
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (4) implies:
% 51.88/8.47 | (5) all_12_8 = e11
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (3), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #13 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) e23 = e20
% 51.88/8.47 (2) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.47 (3) ~ (e23 = e20)
% 51.88/8.47 (4) all_24_14 = e23
% 51.88/8.47 (5) all_24_15 = e22
% 51.88/8.47 (6) ~ (e23 = e22)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (1) implies:
% 51.88/8.47 | (7) e23 = e20
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (4), (7) imply:
% 51.88/8.47 | (8) all_24_14 = e20
% 51.88/8.47 |
% 51.88/8.47 | REF_CLOSE: (2), (3), (5), (6), (8) are inconsistent by sub-proof #47.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #14 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) ~ (all_10_1 = e23)
% 51.88/8.47 (2) all_24_15 = e23
% 51.88/8.47 (3) all_24_0 = all_10_1
% 51.88/8.47 (4) all_24_5 = all_14_8
% 51.88/8.47 (5) ~ (all_14_8 = e23)
% 51.88/8.47 (6) ~ (all_14_4 = e23)
% 51.88/8.47 (7) all_24_15 = e22
% 51.88/8.47 (8) ~ (e23 = e22)
% 51.88/8.47 (9) all_24_11 = e23
% 51.88/8.47 (10) all_24_0 = e23 | all_24_1 = e23 | all_24_5 = e23 | all_24_11 = e23
% 51.88/8.47 (11) all_24_1 = all_14_4
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (2), (7) imply:
% 51.88/8.47 | (12) e23 = e22
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (9), (12) imply:
% 51.88/8.47 | (13) all_24_11 = e22
% 51.88/8.47 |
% 51.88/8.47 | REF_CLOSE: (1), (3), (4), (5), (6), (8), (10), (11), (13) are inconsistent by
% 51.88/8.47 | sub-proof #50.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #15 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) all_24_13 = all_14_10
% 51.88/8.47 (2) all_24_13 = e23
% 51.88/8.47 (3) ~ (all_14_10 = e23)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.47 | (4) all_14_10 = e23
% 51.88/8.47 |
% 51.88/8.47 | SIMP: (4) implies:
% 51.88/8.47 | (5) all_14_10 = e23
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (3), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.47
% 51.88/8.47 Sub-proof #16 shows that the following formulas are inconsistent:
% 51.88/8.47 ----------------------------------------------------------------
% 51.88/8.47 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.88/8.47 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 51.88/8.47 (2) op2(e23, e23) = e23
% 51.88/8.47 (3) op2(e23, e23) = e21
% 51.88/8.47 (4) ~ (e23 = e21)
% 51.88/8.47
% 51.88/8.47 Begin of proof
% 51.88/8.47 |
% 51.88/8.47 | GROUND_INST: instantiating (1) with e21, e23, e23, e23, simplifying with (2),
% 51.88/8.47 | (3) gives:
% 51.88/8.47 | (5) e23 = e21
% 51.88/8.47 |
% 51.88/8.47 | REDUCE: (4), (5) imply:
% 51.88/8.47 | (6) $false
% 51.88/8.47 |
% 51.88/8.47 | CLOSE: (6) is inconsistent.
% 51.88/8.47 |
% 51.88/8.47 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #17 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) ~ (e21 = e20)
% 51.88/8.48 (2) ~ (all_14_1 = e20)
% 51.88/8.48 (3) ~ (e22 = e21)
% 51.88/8.48 (4) ~ (all_14_1 = e21)
% 51.88/8.48 (5) ~ (all_14_3 = e23)
% 51.88/8.48 (6) all_24_0 = e23 | all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.88/8.48 (7) ~ (e23 = e21)
% 51.88/8.48 (8) ~ (all_14_1 = e23)
% 51.88/8.48 (9) all_24_8 = all_14_3
% 51.88/8.48 (10) ~ (e23 = e20)
% 51.88/8.48 (11) all_24_0 = e20 | all_24_3 = e20 | all_24_8 = e20 | all_24_15 = e20
% 51.88/8.48 (12) ~ (e22 = e20)
% 51.88/8.48 (13) all_24_3 = all_14_1
% 51.88/8.48 (14) all_24_0 = e21 | all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21
% 51.88/8.48 (15) all_24_15 = e22
% 51.88/8.48 (16) ~ (e23 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (6) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (17) all_24_0 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | BETA: splitting (11) gives:
% 51.88/8.48 | |
% 51.88/8.48 | | Case 1:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (18) all_24_0 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | COMBINE_EQS: (17), (18) imply:
% 51.88/8.48 | | | (19) e23 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | SIMP: (19) implies:
% 51.88/8.48 | | | (20) e23 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | REDUCE: (10), (20) imply:
% 51.88/8.48 | | | (21) $false
% 51.88/8.48 | | |
% 51.88/8.48 | | | CLOSE: (21) is inconsistent.
% 51.88/8.48 | | |
% 51.88/8.48 | | Case 2:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (22) all_24_3 = e20 | all_24_8 = e20 | all_24_15 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | BETA: splitting (14) gives:
% 51.88/8.48 | | |
% 51.88/8.48 | | | Case 1:
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | (23) all_24_0 = e21
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | COMBINE_EQS: (17), (23) imply:
% 51.88/8.48 | | | | (24) e23 = e21
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | SIMP: (24) implies:
% 51.88/8.48 | | | | (25) e23 = e21
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | REDUCE: (7), (25) imply:
% 51.88/8.48 | | | | (26) $false
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | CLOSE: (26) is inconsistent.
% 51.88/8.48 | | | |
% 51.88/8.48 | | | Case 2:
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | (27) all_24_3 = e21 | all_24_8 = e21 | all_24_15 = e21
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | BETA: splitting (27) gives:
% 51.88/8.48 | | | |
% 51.88/8.48 | | | | Case 1:
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | (28) all_24_3 = e21
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | COMBINE_EQS: (13), (28) imply:
% 51.88/8.48 | | | | | (29) all_14_1 = e21
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | SIMP: (29) implies:
% 51.88/8.48 | | | | | (30) all_14_1 = e21
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | REDUCE: (4), (30) imply:
% 51.88/8.48 | | | | | (31) $false
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | CLOSE: (31) is inconsistent.
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | Case 2:
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | (32) all_24_8 = e21 | all_24_15 = e21
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | BETA: splitting (22) gives:
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | | Case 1:
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | (33) all_24_3 = e20
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | COMBINE_EQS: (13), (33) imply:
% 51.88/8.48 | | | | | | (34) all_14_1 = e20
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | SIMP: (34) implies:
% 51.88/8.48 | | | | | | (35) all_14_1 = e20
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | REDUCE: (2), (35) imply:
% 51.88/8.48 | | | | | | (36) $false
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | CLOSE: (36) is inconsistent.
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | Case 2:
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | (37) all_24_8 = e20 | all_24_15 = e20
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | BETA: splitting (32) gives:
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | | Case 1:
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | (38) all_24_8 = e21
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | BETA: splitting (37) gives:
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | Case 1:
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | (39) all_24_8 = e20
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | COMBINE_EQS: (38), (39) imply:
% 51.88/8.48 | | | | | | | | (40) e21 = e20
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | SIMP: (40) implies:
% 51.88/8.48 | | | | | | | | (41) e21 = e20
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | REDUCE: (1), (41) imply:
% 51.88/8.48 | | | | | | | | (42) $false
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | CLOSE: (42) is inconsistent.
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | Case 2:
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | (43) all_24_15 = e20
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | | REF_CLOSE: (12), (15), (43) are inconsistent by sub-proof #18.
% 51.88/8.48 | | | | | | | |
% 51.88/8.48 | | | | | | | End of split
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | Case 2:
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | (44) all_24_15 = e21
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | COMBINE_EQS: (15), (44) imply:
% 51.88/8.48 | | | | | | | (45) e22 = e21
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | REDUCE: (3), (45) imply:
% 51.88/8.48 | | | | | | | (46) $false
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | | CLOSE: (46) is inconsistent.
% 51.88/8.48 | | | | | | |
% 51.88/8.48 | | | | | | End of split
% 51.88/8.48 | | | | | |
% 51.88/8.48 | | | | | End of split
% 51.88/8.48 | | | | |
% 51.88/8.48 | | | | End of split
% 51.88/8.48 | | | |
% 51.88/8.48 | | | End of split
% 51.88/8.48 | | |
% 51.88/8.48 | | End of split
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (47) all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | REF_CLOSE: (5), (8), (9), (13), (15), (16), (47) are inconsistent by
% 51.88/8.48 | | sub-proof #19.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #18 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_24_15 = e22
% 51.88/8.48 (2) all_24_15 = e20
% 51.88/8.48 (3) ~ (e22 = e20)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.48 | (4) e22 = e20
% 51.88/8.48 |
% 51.88/8.48 | SIMP: (4) implies:
% 51.88/8.48 | (5) e22 = e20
% 51.88/8.48 |
% 51.88/8.48 | REDUCE: (3), (5) imply:
% 51.88/8.48 | (6) $false
% 51.88/8.48 |
% 51.88/8.48 | CLOSE: (6) is inconsistent.
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #19 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) ~ (all_14_3 = e23)
% 51.88/8.48 (2) all_24_3 = e23 | all_24_8 = e23 | all_24_15 = e23
% 51.88/8.48 (3) ~ (all_14_1 = e23)
% 51.88/8.48 (4) all_24_8 = all_14_3
% 51.88/8.48 (5) all_24_3 = all_14_1
% 51.88/8.48 (6) all_24_15 = e22
% 51.88/8.48 (7) ~ (e23 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (2) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (8) all_24_3 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (5), (8) imply:
% 51.88/8.48 | | (9) all_14_1 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | SIMP: (9) implies:
% 51.88/8.48 | | (10) all_14_1 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (3), (10) imply:
% 51.88/8.48 | | (11) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (11) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (12) all_24_8 = e23 | all_24_15 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | REF_CLOSE: (1), (4), (6), (7), (12) are inconsistent by sub-proof #20.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #20 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) ~ (all_14_3 = e23)
% 51.88/8.48 (2) all_24_8 = e23 | all_24_15 = e23
% 51.88/8.48 (3) all_24_8 = all_14_3
% 51.88/8.48 (4) all_24_15 = e22
% 51.88/8.48 (5) ~ (e23 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (2) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (6) all_24_8 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (3), (6) imply:
% 51.88/8.48 | | (7) all_14_3 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | SIMP: (7) implies:
% 51.88/8.48 | | (8) all_14_3 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (1), (8) imply:
% 51.88/8.48 | | (9) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (9) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (10) all_24_15 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (4), (10) imply:
% 51.88/8.48 | | (11) e23 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (5), (11) imply:
% 51.88/8.48 | | (12) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (12) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #21 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_22_2 = all_14_3
% 51.88/8.48 (2) all_22_2 = e22
% 51.88/8.48 (3) ~ (all_14_3 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.48 | (4) all_14_3 = e22
% 51.88/8.48 |
% 51.88/8.48 | SIMP: (4) implies:
% 51.88/8.48 | (5) all_14_3 = e22
% 51.88/8.48 |
% 51.88/8.48 | REDUCE: (3), (5) imply:
% 51.88/8.48 | (6) $false
% 51.88/8.48 |
% 51.88/8.48 | CLOSE: (6) is inconsistent.
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #22 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_22_8 = e22 | all_22_8 = e20
% 51.88/8.48 (2) all_22_8 = all_10_2
% 51.88/8.48 (3) ~ (all_10_2 = e20)
% 51.88/8.48 (4) ~ (all_10_2 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (1) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (5) all_22_8 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (2), (5) imply:
% 51.88/8.48 | | (6) all_10_2 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (3), (6) imply:
% 51.88/8.48 | | (7) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (7) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (8) all_22_8 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (2), (8) imply:
% 51.88/8.48 | | (9) all_10_2 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (4), (9) imply:
% 51.88/8.48 | | (10) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (10) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #23 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) ~ (all_14_4 = e20)
% 51.88/8.48 (2) all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 51.88/8.48 (3) all_22_4 = all_14_4
% 51.88/8.48 (4) ~ (all_14_4 = e22)
% 51.88/8.48 (5) ~ (all_14_4 = e21)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (2) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (6) all_22_4 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (3), (6) imply:
% 51.88/8.48 | | (7) all_14_4 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | SIMP: (7) implies:
% 51.88/8.48 | | (8) all_14_4 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (5), (8) imply:
% 51.88/8.48 | | (9) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (9) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (10) all_22_4 = e22 | all_22_4 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #34.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #24 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_22_5 = all_4_1
% 51.88/8.48 (2) ~ (all_4_1 = e21)
% 51.88/8.48 (3) ~ (all_14_9 = all_4_1)
% 51.88/8.48 (4) ~ (all_4_1 = e20)
% 51.88/8.48 (5) ~ (all_14_9 = e23)
% 51.88/8.48 (6) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.88/8.48 (7) ~ (all_14_9 = e21)
% 51.88/8.48 (8) all_22_9 = all_14_9
% 51.88/8.48 (9) ~ (all_14_9 = e20)
% 51.88/8.48 (10) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (10) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (11) all_22_9 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (8), (11) imply:
% 51.88/8.48 | | (12) all_14_9 = e23
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (5), (12) imply:
% 51.88/8.48 | | (13) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (13) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (14) all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (14) are inconsistent by
% 51.88/8.48 | | sub-proof #25.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #25 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_22_5 = all_4_1
% 51.88/8.48 (2) ~ (all_4_1 = e21)
% 51.88/8.48 (3) ~ (all_14_9 = all_4_1)
% 51.88/8.48 (4) ~ (all_4_1 = e20)
% 51.88/8.48 (5) all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 51.88/8.48 (6) ~ (all_14_9 = e21)
% 51.88/8.48 (7) all_22_9 = all_14_9
% 51.88/8.48 (8) ~ (all_14_9 = e20)
% 51.88/8.48 (9) all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (5) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (10) all_22_5 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (1), (10) imply:
% 51.88/8.48 | | (11) all_4_1 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | SIMP: (11) implies:
% 51.88/8.48 | | (12) all_4_1 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (2), (12) imply:
% 51.88/8.48 | | (13) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (13) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (14) all_22_5 = e22 | all_22_5 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | BETA: splitting (14) gives:
% 51.88/8.48 | |
% 51.88/8.48 | | Case 1:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (15) all_22_5 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | COMBINE_EQS: (1), (15) imply:
% 51.88/8.48 | | | (16) all_4_1 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | SIMP: (16) implies:
% 51.88/8.48 | | | (17) all_4_1 = e20
% 51.88/8.48 | | |
% 51.88/8.48 | | | REDUCE: (4), (17) imply:
% 51.88/8.48 | | | (18) $false
% 51.88/8.48 | | |
% 51.88/8.48 | | | CLOSE: (18) is inconsistent.
% 51.88/8.48 | | |
% 51.88/8.48 | | Case 2:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (19) all_22_5 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | COMBINE_EQS: (1), (19) imply:
% 51.88/8.48 | | | (20) all_4_1 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | SIMP: (20) implies:
% 51.88/8.48 | | | (21) all_4_1 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | REDUCE: (3), (21) imply:
% 51.88/8.48 | | | (22) ~ (all_14_9 = e22)
% 51.88/8.48 | | |
% 51.88/8.48 | | | REF_CLOSE: (6), (7), (8), (9), (22) are inconsistent by sub-proof #26.
% 51.88/8.48 | | |
% 51.88/8.48 | | End of split
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #26 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) ~ (all_14_9 = e21)
% 51.88/8.48 (2) all_22_9 = all_14_9
% 51.88/8.48 (3) ~ (all_14_9 = e20)
% 51.88/8.48 (4) all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 51.88/8.48 (5) ~ (all_14_9 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (4) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (6) all_22_9 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (2), (6) imply:
% 51.88/8.48 | | (7) all_14_9 = e21
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (1), (7) imply:
% 51.88/8.48 | | (8) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (8) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (9) all_22_9 = e22 | all_22_9 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #27.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #27 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_22_9 = e22 | all_22_9 = e20
% 51.88/8.48 (2) all_22_9 = all_14_9
% 51.88/8.48 (3) ~ (all_14_9 = e20)
% 51.88/8.48 (4) ~ (all_14_9 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (1) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (5) all_22_9 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (2), (5) imply:
% 51.88/8.48 | | (6) all_14_9 = e20
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (3), (6) imply:
% 51.88/8.48 | | (7) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (7) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (8) all_22_9 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (2), (8) imply:
% 51.88/8.48 | | (9) all_14_9 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (4), (9) imply:
% 51.88/8.48 | | (10) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (10) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | End of split
% 51.88/8.48 |
% 51.88/8.48 End of proof
% 51.88/8.48
% 51.88/8.48 Sub-proof #28 shows that the following formulas are inconsistent:
% 51.88/8.48 ----------------------------------------------------------------
% 51.88/8.48 (1) all_24_7 = all_14_7
% 51.88/8.48 (2) ~ (all_14_7 = e22)
% 51.88/8.48 (3) ~ (all_4_1 = e22)
% 51.88/8.48 (4) all_24_2 = e22 | all_24_7 = e22 | all_24_14 = e22
% 51.88/8.48 (5) all_24_2 = all_4_1
% 51.88/8.48 (6) all_24_14 = e23
% 51.88/8.48 (7) ~ (e23 = e22)
% 51.88/8.48
% 51.88/8.48 Begin of proof
% 51.88/8.48 |
% 51.88/8.48 | BETA: splitting (4) gives:
% 51.88/8.48 |
% 51.88/8.48 | Case 1:
% 51.88/8.48 | |
% 51.88/8.48 | | (8) all_24_2 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | COMBINE_EQS: (5), (8) imply:
% 51.88/8.48 | | (9) all_4_1 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | SIMP: (9) implies:
% 51.88/8.48 | | (10) all_4_1 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | REDUCE: (3), (10) imply:
% 51.88/8.48 | | (11) $false
% 51.88/8.48 | |
% 51.88/8.48 | | CLOSE: (11) is inconsistent.
% 51.88/8.48 | |
% 51.88/8.48 | Case 2:
% 51.88/8.48 | |
% 51.88/8.48 | | (12) all_24_7 = e22 | all_24_14 = e22
% 51.88/8.48 | |
% 51.88/8.48 | | BETA: splitting (12) gives:
% 51.88/8.48 | |
% 51.88/8.48 | | Case 1:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (13) all_24_7 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | COMBINE_EQS: (1), (13) imply:
% 51.88/8.48 | | | (14) all_14_7 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | SIMP: (14) implies:
% 51.88/8.48 | | | (15) all_14_7 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | REDUCE: (2), (15) imply:
% 51.88/8.48 | | | (16) $false
% 51.88/8.48 | | |
% 51.88/8.48 | | | CLOSE: (16) is inconsistent.
% 51.88/8.48 | | |
% 51.88/8.48 | | Case 2:
% 51.88/8.48 | | |
% 51.88/8.48 | | | (17) all_24_14 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | COMBINE_EQS: (6), (17) imply:
% 51.88/8.48 | | | (18) e23 = e22
% 51.88/8.48 | | |
% 51.88/8.48 | | | SIMP: (18) implies:
% 51.88/8.48 | | | (19) e23 = e22
% 51.88/8.48 | | |
% 51.88/8.49 | | | REDUCE: (7), (19) imply:
% 51.88/8.49 | | | (20) $false
% 51.88/8.49 | | |
% 51.88/8.49 | | | CLOSE: (20) is inconsistent.
% 51.88/8.49 | | |
% 51.88/8.49 | | End of split
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #29 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) op2(e21, e21) = e22
% 51.88/8.49 (2) op2(e21, e21) = all_18_18
% 51.88/8.49 (3) op2(e21, e21) = e20
% 51.88/8.49 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.88/8.49 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 51.88/8.49 (5) ~ (e22 = e20)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | GROUND_INST: instantiating (4) with e22, all_18_18, e21, e21, simplifying with
% 51.88/8.49 | (1), (2) gives:
% 51.88/8.49 | (6) all_18_18 = e22
% 51.88/8.49 |
% 51.88/8.49 | GROUND_INST: instantiating (4) with e20, all_18_18, e21, e21, simplifying with
% 51.88/8.49 | (2), (3) gives:
% 51.88/8.49 | (7) all_18_18 = e20
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (6), (7) imply:
% 51.88/8.49 | (8) e22 = e20
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (5), (8) imply:
% 51.88/8.49 | (9) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (9) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #30 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_8 = all_10_2
% 51.88/8.49 (2) all_22_8 = e23
% 51.88/8.49 (3) ~ (all_10_2 = e23)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_10_2 = e23
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_10_2 = e23
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #31 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_5 = all_4_1
% 51.88/8.49 (2) all_22_5 = e23
% 51.88/8.49 (3) ~ (all_4_1 = e23)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_4_1 = e23
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_4_1 = e23
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #32 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) ~ (all_14_6 = e22)
% 51.88/8.49 (2) all_22_7 = all_14_6
% 51.88/8.49 (3) all_24_6 = e20 | all_24_13 = e20
% 51.88/8.49 (4) ~ (e23 = e21)
% 51.88/8.49 (5) all_24_6 = all_6_1
% 51.88/8.49 (6) ~ (all_6_1 = e20)
% 51.88/8.49 (7) ~ (all_14_6 = e23)
% 51.88/8.49 (8) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 (9) ~ (e23 = e20)
% 51.88/8.49 (10) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.49 (11) all_24_14 = all_14_6
% 51.88/8.49 (12) ~ (all_14_6 = e21)
% 51.88/8.49 (13) all_24_15 = e22
% 51.88/8.49 (14) all_24_12 = e21
% 51.88/8.49 (15) ~ (e23 = e22)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (3) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (16) all_24_6 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (5), (16) imply:
% 51.88/8.49 | | (17) all_6_1 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | SIMP: (17) implies:
% 51.88/8.49 | | (18) all_6_1 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (6), (18) imply:
% 51.88/8.49 | | (19) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (19) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (20) all_24_13 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 51.88/8.49 | | (20) are inconsistent by sub-proof #33.
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #33 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) ~ (all_14_6 = e22)
% 51.88/8.49 (2) all_22_7 = all_14_6
% 51.88/8.49 (3) all_24_13 = e20
% 51.88/8.49 (4) ~ (e23 = e21)
% 51.88/8.49 (5) ~ (all_14_6 = e23)
% 51.88/8.49 (6) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 (7) ~ (e23 = e20)
% 51.88/8.49 (8) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.49 (9) all_24_14 = all_14_6
% 51.88/8.49 (10) ~ (all_14_6 = e21)
% 51.88/8.49 (11) all_24_15 = e22
% 51.88/8.49 (12) all_24_12 = e21
% 51.88/8.49 (13) ~ (e23 = e22)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (8) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (14) all_22_7 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | REF_CLOSE: (2), (10), (14) are inconsistent by sub-proof #48.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (15) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (15)
% 51.88/8.49 | | are inconsistent by sub-proof #38.
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #34 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_4 = e22 | all_22_4 = e20
% 51.88/8.49 (2) all_22_4 = all_14_4
% 51.88/8.49 (3) ~ (all_14_4 = e20)
% 51.88/8.49 (4) ~ (all_14_4 = e22)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (1) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (5) all_22_4 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (2), (5) imply:
% 51.88/8.49 | | (6) all_14_4 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | SIMP: (6) implies:
% 51.88/8.49 | | (7) all_14_4 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (3), (7) imply:
% 51.88/8.49 | | (8) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (8) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (9) all_22_4 = e22
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (2), (9) imply:
% 51.88/8.49 | | (10) all_14_4 = e22
% 51.88/8.49 | |
% 51.88/8.49 | | SIMP: (10) implies:
% 51.88/8.49 | | (11) all_14_4 = e22
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (4), (11) imply:
% 51.88/8.49 | | (12) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (12) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #35 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) ~ (e21 = e20)
% 51.88/8.49 (2) ~ (all_6_1 = e21)
% 51.88/8.49 (3) ~ (e22 = e21)
% 51.88/8.49 (4) ~ (e23 = e21)
% 51.88/8.49 (5) all_24_8 = e20
% 51.88/8.49 (6) all_24_6 = all_6_1
% 51.88/8.49 (7) all_24_9 = e23
% 51.88/8.49 (8) all_24_6 = e21 | all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21
% 51.88/8.49 (9) all_24_7 = e22
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (8) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (10) all_24_6 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (6), (10) imply:
% 51.88/8.49 | | (11) all_6_1 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | SIMP: (11) implies:
% 51.88/8.49 | | (12) all_6_1 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (2), (12) imply:
% 51.88/8.49 | | (13) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (13) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (14) all_24_7 = e21 | all_24_8 = e21 | all_24_9 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | BETA: splitting (14) gives:
% 51.88/8.49 | |
% 51.88/8.49 | | Case 1:
% 51.88/8.49 | | |
% 51.88/8.49 | | | (15) all_24_7 = e21
% 51.88/8.49 | | |
% 51.88/8.49 | | | COMBINE_EQS: (9), (15) imply:
% 51.88/8.49 | | | (16) e22 = e21
% 51.88/8.49 | | |
% 51.88/8.49 | | | SIMP: (16) implies:
% 51.88/8.49 | | | (17) e22 = e21
% 51.88/8.49 | | |
% 51.88/8.49 | | | REDUCE: (3), (17) imply:
% 51.88/8.49 | | | (18) $false
% 51.88/8.49 | | |
% 51.88/8.49 | | | CLOSE: (18) is inconsistent.
% 51.88/8.49 | | |
% 51.88/8.49 | | Case 2:
% 51.88/8.49 | | |
% 51.88/8.49 | | | (19) all_24_8 = e21 | all_24_9 = e21
% 51.88/8.49 | | |
% 51.88/8.49 | | | REF_CLOSE: (1), (4), (5), (7), (19) are inconsistent by sub-proof #36.
% 51.88/8.49 | | |
% 51.88/8.49 | | End of split
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #36 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) ~ (e21 = e20)
% 51.88/8.49 (2) ~ (e23 = e21)
% 51.88/8.49 (3) all_24_8 = e20
% 51.88/8.49 (4) all_24_8 = e21 | all_24_9 = e21
% 51.88/8.49 (5) all_24_9 = e23
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (4) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (6) all_24_8 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (3), (6) imply:
% 51.88/8.49 | | (7) e21 = e20
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (1), (7) imply:
% 51.88/8.49 | | (8) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (8) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (9) all_24_9 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (5), (9) imply:
% 51.88/8.49 | | (10) e23 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | SIMP: (10) implies:
% 51.88/8.49 | | (11) e23 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (2), (11) imply:
% 51.88/8.49 | | (12) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (12) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #37 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.49 (2) ~ (all_14_6 = e22)
% 51.88/8.49 (3) all_22_7 = all_14_6
% 51.88/8.49 (4) all_24_13 = e23
% 51.88/8.49 (5) ~ (e23 = e21)
% 51.88/8.49 (6) e23 = e20
% 51.88/8.49 (7) ~ (all_14_6 = e23)
% 51.88/8.49 (8) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 (9) ~ (e23 = e20)
% 51.88/8.49 (10) all_24_14 = all_14_6
% 51.88/8.49 (11) all_24_15 = e22
% 51.88/8.49 (12) all_24_12 = e21
% 51.88/8.49 (13) ~ (e23 = e22)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (6) implies:
% 51.88/8.49 | (14) e23 = e20
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (4), (14) imply:
% 51.88/8.49 | (15) all_24_13 = e20
% 51.88/8.49 |
% 51.88/8.49 | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (15) are
% 51.88/8.49 | inconsistent by sub-proof #38.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #38 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.49 (2) ~ (all_14_6 = e22)
% 51.88/8.49 (3) all_22_7 = all_14_6
% 51.88/8.49 (4) all_24_13 = e20
% 51.88/8.49 (5) ~ (e23 = e21)
% 51.88/8.49 (6) ~ (all_14_6 = e23)
% 51.88/8.49 (7) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 (8) ~ (e23 = e20)
% 51.88/8.49 (9) all_24_14 = all_14_6
% 51.88/8.49 (10) all_24_15 = e22
% 51.88/8.49 (11) all_24_12 = e21
% 51.88/8.49 (12) ~ (e23 = e22)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | BETA: splitting (7) gives:
% 51.88/8.49 |
% 51.88/8.49 | Case 1:
% 51.88/8.49 | |
% 51.88/8.49 | | (13) all_24_12 = e23
% 51.88/8.49 | |
% 51.88/8.49 | | COMBINE_EQS: (11), (13) imply:
% 51.88/8.49 | | (14) e23 = e21
% 51.88/8.49 | |
% 51.88/8.49 | | REDUCE: (5), (14) imply:
% 51.88/8.49 | | (15) $false
% 51.88/8.49 | |
% 51.88/8.49 | | CLOSE: (15) is inconsistent.
% 51.88/8.49 | |
% 51.88/8.49 | Case 2:
% 51.88/8.49 | |
% 51.88/8.49 | | (16) all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 | |
% 51.88/8.49 | | BETA: splitting (16) gives:
% 51.88/8.49 | |
% 51.88/8.49 | | Case 1:
% 51.88/8.49 | | |
% 51.88/8.49 | | | (17) all_24_13 = e23
% 51.88/8.49 | | |
% 51.88/8.49 | | | COMBINE_EQS: (4), (17) imply:
% 51.88/8.49 | | | (18) e23 = e20
% 51.88/8.49 | | |
% 51.88/8.49 | | | REDUCE: (8), (18) imply:
% 51.88/8.49 | | | (19) $false
% 51.88/8.49 | | |
% 51.88/8.49 | | | CLOSE: (19) is inconsistent.
% 51.88/8.49 | | |
% 51.88/8.49 | | Case 2:
% 51.88/8.49 | | |
% 51.88/8.49 | | | (20) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 | | |
% 51.88/8.49 | | | REF_CLOSE: (1), (2), (3), (6), (9), (10), (12), (20) are inconsistent by
% 51.88/8.49 | | | sub-proof #45.
% 51.88/8.49 | | |
% 51.88/8.49 | | End of split
% 51.88/8.49 | |
% 51.88/8.49 | End of split
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #39 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_10 = all_6_1
% 51.88/8.49 (2) all_22_10 = e23
% 51.88/8.49 (3) ~ (all_6_1 = e23)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_6_1 = e23
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_6_1 = e23
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #40 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_4 = all_14_4
% 51.88/8.49 (2) all_22_4 = e23
% 51.88/8.49 (3) ~ (all_14_4 = e23)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_14_4 = e23
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_14_4 = e23
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #41 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_24_4 = all_14_9
% 51.88/8.49 (2) all_24_4 = e20
% 51.88/8.49 (3) ~ (all_14_9 = e20)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_14_9 = e20
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_14_9 = e20
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #42 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_7 = all_14_6
% 51.88/8.49 (2) all_22_7 = e23
% 51.88/8.49 (3) ~ (all_14_6 = e23)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_14_6 = e23
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_14_6 = e23
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #43 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) all_22_2 = all_14_3
% 51.88/8.49 (2) all_22_2 = e21
% 51.88/8.49 (3) ~ (all_14_3 = e21)
% 51.88/8.49
% 51.88/8.49 Begin of proof
% 51.88/8.49 |
% 51.88/8.49 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.49 | (4) all_14_3 = e21
% 51.88/8.49 |
% 51.88/8.49 | SIMP: (4) implies:
% 51.88/8.49 | (5) all_14_3 = e21
% 51.88/8.49 |
% 51.88/8.49 | REDUCE: (3), (5) imply:
% 51.88/8.49 | (6) $false
% 51.88/8.49 |
% 51.88/8.49 | CLOSE: (6) is inconsistent.
% 51.88/8.49 |
% 51.88/8.49 End of proof
% 51.88/8.49
% 51.88/8.49 Sub-proof #44 shows that the following formulas are inconsistent:
% 51.88/8.49 ----------------------------------------------------------------
% 51.88/8.49 (1) ~ (all_14_6 = e22)
% 51.88/8.49 (2) all_22_7 = all_14_6
% 51.88/8.49 (3) ~ (all_14_6 = e23)
% 51.88/8.49 (4) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.49 (5) all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 51.88/8.49 (6) all_24_14 = all_14_6
% 51.88/8.49 (7) ~ (all_14_6 = e21)
% 51.88/8.49 (8) all_24_15 = e22
% 51.88/8.50 (9) ~ (e23 = e22)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | BETA: splitting (5) gives:
% 51.88/8.50 |
% 51.88/8.50 | Case 1:
% 51.88/8.50 | |
% 51.88/8.50 | | (10) all_22_7 = e21
% 51.88/8.50 | |
% 51.88/8.50 | | REF_CLOSE: (2), (7), (10) are inconsistent by sub-proof #48.
% 51.88/8.50 | |
% 51.88/8.50 | Case 2:
% 51.88/8.50 | |
% 51.88/8.50 | | (11) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11) are inconsistent by
% 51.88/8.50 | | sub-proof #45.
% 51.88/8.50 | |
% 51.88/8.50 | End of split
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #45 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_22_7 = e22 | all_22_7 = e20
% 51.88/8.50 (2) ~ (all_14_6 = e22)
% 51.88/8.50 (3) all_22_7 = all_14_6
% 51.88/8.50 (4) ~ (all_14_6 = e23)
% 51.88/8.50 (5) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.50 (6) all_24_14 = all_14_6
% 51.88/8.50 (7) all_24_15 = e22
% 51.88/8.50 (8) ~ (e23 = e22)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | BETA: splitting (1) gives:
% 51.88/8.50 |
% 51.88/8.50 | Case 1:
% 51.88/8.50 | |
% 51.88/8.50 | | (9) all_22_7 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | COMBINE_EQS: (3), (9) imply:
% 51.88/8.50 | | (10) all_14_6 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | SIMP: (10) implies:
% 51.88/8.50 | | (11) all_14_6 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | COMBINE_EQS: (6), (11) imply:
% 51.88/8.50 | | (12) all_24_14 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | REDUCE: (4), (11) imply:
% 51.88/8.50 | | (13) ~ (e23 = e20)
% 51.88/8.50 | |
% 51.88/8.50 | | SIMP: (13) implies:
% 51.88/8.50 | | (14) ~ (e23 = e20)
% 51.88/8.50 | |
% 51.88/8.50 | | REF_CLOSE: (5), (7), (8), (12), (14) are inconsistent by sub-proof #47.
% 51.88/8.50 | |
% 51.88/8.50 | Case 2:
% 51.88/8.50 | |
% 51.88/8.50 | | (15) all_22_7 = e22
% 51.88/8.50 | |
% 51.88/8.50 | | REF_CLOSE: (2), (3), (15) are inconsistent by sub-proof #46.
% 51.88/8.50 | |
% 51.88/8.50 | End of split
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #46 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_22_7 = all_14_6
% 51.88/8.50 (2) all_22_7 = e22
% 51.88/8.50 (3) ~ (all_14_6 = e22)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_14_6 = e22
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_14_6 = e22
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #47 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_24_14 = e20
% 51.88/8.50 (2) all_24_14 = e23 | all_24_15 = e23
% 51.88/8.50 (3) ~ (e23 = e20)
% 51.88/8.50 (4) all_24_15 = e22
% 51.88/8.50 (5) ~ (e23 = e22)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | BETA: splitting (2) gives:
% 51.88/8.50 |
% 51.88/8.50 | Case 1:
% 51.88/8.50 | |
% 51.88/8.50 | | (6) all_24_14 = e23
% 51.88/8.50 | |
% 51.88/8.50 | | COMBINE_EQS: (1), (6) imply:
% 51.88/8.50 | | (7) e23 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | SIMP: (7) implies:
% 51.88/8.50 | | (8) e23 = e20
% 51.88/8.50 | |
% 51.88/8.50 | | REDUCE: (3), (8) imply:
% 51.88/8.50 | | (9) $false
% 51.88/8.50 | |
% 51.88/8.50 | | CLOSE: (9) is inconsistent.
% 51.88/8.50 | |
% 51.88/8.50 | Case 2:
% 51.88/8.50 | |
% 51.88/8.50 | | (10) all_24_15 = e23
% 51.88/8.50 | |
% 51.88/8.50 | | COMBINE_EQS: (4), (10) imply:
% 51.88/8.50 | | (11) e23 = e22
% 51.88/8.50 | |
% 51.88/8.50 | | SIMP: (11) implies:
% 51.88/8.50 | | (12) e23 = e22
% 51.88/8.50 | |
% 51.88/8.50 | | REDUCE: (5), (12) imply:
% 51.88/8.50 | | (13) $false
% 51.88/8.50 | |
% 51.88/8.50 | | CLOSE: (13) is inconsistent.
% 51.88/8.50 | |
% 51.88/8.50 | End of split
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #48 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_22_7 = all_14_6
% 51.88/8.50 (2) all_22_7 = e21
% 51.88/8.50 (3) ~ (all_14_6 = e21)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_14_6 = e21
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_14_6 = e21
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #49 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_24_12 = e23
% 51.88/8.50 (2) all_24_12 = e21
% 51.88/8.50 (3) ~ (e23 = e21)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) e23 = e21
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) e23 = e21
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #50 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) ~ (all_10_1 = e23)
% 51.88/8.50 (2) all_24_0 = all_10_1
% 51.88/8.50 (3) all_24_5 = all_14_8
% 51.88/8.50 (4) ~ (all_14_8 = e23)
% 51.88/8.50 (5) all_24_11 = e22
% 51.88/8.50 (6) ~ (all_14_4 = e23)
% 51.88/8.50 (7) ~ (e23 = e22)
% 51.88/8.50 (8) all_24_0 = e23 | all_24_1 = e23 | all_24_5 = e23 | all_24_11 = e23
% 51.88/8.50 (9) all_24_1 = all_14_4
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | BETA: splitting (8) gives:
% 51.88/8.50 |
% 51.88/8.50 | Case 1:
% 51.88/8.50 | |
% 51.88/8.50 | | (10) all_24_0 = e23
% 51.88/8.50 | |
% 51.88/8.50 | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #51.
% 51.88/8.50 | |
% 51.88/8.50 | Case 2:
% 51.88/8.50 | |
% 51.88/8.50 | | (11) all_24_1 = e23 | all_24_5 = e23 | all_24_11 = e23
% 51.88/8.50 | |
% 51.88/8.50 | | BETA: splitting (11) gives:
% 51.88/8.50 | |
% 51.88/8.50 | | Case 1:
% 51.88/8.50 | | |
% 51.88/8.50 | | | (12) all_24_1 = e23
% 51.88/8.50 | | |
% 51.88/8.50 | | | COMBINE_EQS: (9), (12) imply:
% 51.88/8.50 | | | (13) all_14_4 = e23
% 51.88/8.50 | | |
% 51.88/8.50 | | | SIMP: (13) implies:
% 51.88/8.50 | | | (14) all_14_4 = e23
% 51.88/8.50 | | |
% 51.88/8.50 | | | REDUCE: (6), (14) imply:
% 51.88/8.50 | | | (15) $false
% 51.88/8.50 | | |
% 51.88/8.50 | | | CLOSE: (15) is inconsistent.
% 51.88/8.50 | | |
% 51.88/8.50 | | Case 2:
% 51.88/8.50 | | |
% 51.88/8.50 | | | (16) all_24_5 = e23 | all_24_11 = e23
% 51.88/8.50 | | |
% 51.88/8.50 | | | BETA: splitting (16) gives:
% 51.88/8.50 | | |
% 51.88/8.50 | | | Case 1:
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | (17) all_24_5 = e23
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | COMBINE_EQS: (3), (17) imply:
% 51.88/8.50 | | | | (18) all_14_8 = e23
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | REDUCE: (4), (18) imply:
% 51.88/8.50 | | | | (19) $false
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | CLOSE: (19) is inconsistent.
% 51.88/8.50 | | | |
% 51.88/8.50 | | | Case 2:
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | (20) all_24_11 = e23
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | COMBINE_EQS: (5), (20) imply:
% 51.88/8.50 | | | | (21) e23 = e22
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | REDUCE: (7), (21) imply:
% 51.88/8.50 | | | | (22) $false
% 51.88/8.50 | | | |
% 51.88/8.50 | | | | CLOSE: (22) is inconsistent.
% 51.88/8.50 | | | |
% 51.88/8.50 | | | End of split
% 51.88/8.50 | | |
% 51.88/8.50 | | End of split
% 51.88/8.50 | |
% 51.88/8.50 | End of split
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #51 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_24_0 = all_10_1
% 51.88/8.50 (2) all_24_0 = e23
% 51.88/8.50 (3) ~ (all_10_1 = e23)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_10_1 = e23
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_10_1 = e23
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #52 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_24_4 = all_14_9
% 51.88/8.50 (2) all_24_4 = e23
% 51.88/8.50 (3) ~ (all_14_9 = e23)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_14_9 = e23
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_14_9 = e23
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #53 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_8 = all_12_8
% 51.88/8.50 (2) all_20_8 = e13
% 51.88/8.50 (3) ~ (all_12_8 = e13)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_8 = e13
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_8 = e13
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #54 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_7 = all_12_6
% 51.88/8.50 (2) all_20_7 = e12
% 51.88/8.50 (3) ~ (all_12_6 = e12)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_6 = e12
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_6 = e12
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #55 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_11 = all_12_10
% 51.88/8.50 (2) op1(e13, e13) = e11
% 51.88/8.50 (3) all_20_11 = e13
% 51.88/8.50 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.88/8.50 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 51.88/8.50 (5) op1(all_12_10, all_12_10) = e13
% 51.88/8.50 (6) ~ (all_12_10 = e11)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (3) imply:
% 51.88/8.50 | (7) all_12_10 = e13
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (7) implies:
% 51.88/8.50 | (8) all_12_10 = e13
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (6), (8) imply:
% 51.88/8.50 | (9) ~ (e13 = e11)
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (5), (8) imply:
% 51.88/8.50 | (10) op1(e13, e13) = e13
% 51.88/8.50 |
% 51.88/8.50 | REF_CLOSE: (2), (4), (9), (10) are inconsistent by sub-proof #56.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #56 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.88/8.50 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 51.88/8.50 (2) op1(e13, e13) = e13
% 51.88/8.50 (3) op1(e13, e13) = e11
% 51.88/8.50 (4) ~ (e13 = e11)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | GROUND_INST: instantiating (1) with e11, e13, e13, e13, simplifying with (2),
% 51.88/8.50 | (3) gives:
% 51.88/8.50 | (5) e13 = e11
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (4), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #57 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_7 = all_12_6
% 51.88/8.50 (2) all_20_7 = e11
% 51.88/8.50 (3) ~ (all_12_6 = e11)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_6 = e11
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_6 = e11
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #58 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_11 = all_12_10
% 51.88/8.50 (2) all_20_11 = e12
% 51.88/8.50 (3) ~ (all_12_10 = e12)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_10 = e12
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_10 = e12
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #59 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.88/8.50 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 51.88/8.50 (2) op1(e10, e10) = all_12_0
% 51.88/8.50 (3) op1(e10, e10) = e13
% 51.88/8.50 (4) ~ (all_12_0 = e13)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | GROUND_INST: instantiating (1) with all_12_0, e13, e10, e10, simplifying with
% 51.88/8.50 | (2), (3) gives:
% 51.88/8.50 | (5) all_12_0 = e13
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (4), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #60 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_11 = all_12_10
% 51.88/8.50 (2) all_20_11 = e11
% 51.88/8.50 (3) ~ (all_12_10 = e11)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_10 = e11
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_10 = e11
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #61 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_11 = all_12_10
% 51.88/8.50 (2) all_20_11 = e13
% 51.88/8.50 (3) ~ (all_12_10 = e13)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_10 = e13
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_10 = e13
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #62 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_14 = all_12_15
% 51.88/8.50 (2) all_20_14 = e10
% 51.88/8.50 (3) ~ (all_12_15 = e10)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_15 = e10
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_15 = e10
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50
% 51.88/8.50 Sub-proof #63 shows that the following formulas are inconsistent:
% 51.88/8.50 ----------------------------------------------------------------
% 51.88/8.50 (1) all_20_14 = all_12_15
% 51.88/8.50 (2) all_20_14 = e11
% 51.88/8.50 (3) ~ (all_12_15 = e11)
% 51.88/8.50
% 51.88/8.50 Begin of proof
% 51.88/8.50 |
% 51.88/8.50 | COMBINE_EQS: (1), (2) imply:
% 51.88/8.50 | (4) all_12_15 = e11
% 51.88/8.50 |
% 51.88/8.50 | SIMP: (4) implies:
% 51.88/8.50 | (5) all_12_15 = e11
% 51.88/8.50 |
% 51.88/8.50 | REDUCE: (3), (5) imply:
% 51.88/8.50 | (6) $false
% 51.88/8.50 |
% 51.88/8.50 | CLOSE: (6) is inconsistent.
% 51.88/8.50 |
% 51.88/8.50 End of proof
% 51.88/8.50 % SZS output end Proof for theBenchmark
% 51.88/8.50
% 51.88/8.50 7899ms
%------------------------------------------------------------------------------