TSTP Solution File: ALG022+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG022+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 : n024.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 16:35:39 EDT 2023
% Result : Theorem 8.92s 2.02s
% Output : Proof 33.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 03:32:23 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.59 ________ _____
% 0.16/0.59 ___ __ \_________(_)________________________________
% 0.16/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.59
% 0.16/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.60 (2023-06-19)
% 0.16/0.60
% 0.16/0.60 (c) Philipp Rümmer, 2009-2023
% 0.16/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.60 Amanda Stjerna.
% 0.16/0.60 Free software under BSD-3-Clause.
% 0.16/0.60
% 0.16/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.60
% 0.16/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.16/0.61 Running up to 7 provers in parallel.
% 0.16/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.16/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.75/1.31 Prover 4: Preprocessing ...
% 3.75/1.31 Prover 1: Preprocessing ...
% 4.27/1.37 Prover 2: Preprocessing ...
% 4.27/1.37 Prover 6: Preprocessing ...
% 4.27/1.37 Prover 3: Preprocessing ...
% 4.27/1.37 Prover 5: Preprocessing ...
% 4.27/1.37 Prover 0: Preprocessing ...
% 8.31/1.96 Prover 2: Constructing countermodel ...
% 8.31/1.97 Prover 3: Constructing countermodel ...
% 8.31/1.99 Prover 1: Constructing countermodel ...
% 8.31/1.99 Prover 4: Constructing countermodel ...
% 8.92/2.01 Prover 2: proved (1389ms)
% 8.92/2.02
% 8.92/2.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.92/2.02
% 8.92/2.02 Prover 3: proved (1388ms)
% 8.92/2.02
% 8.92/2.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.92/2.02
% 8.92/2.03 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.92/2.03 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.92/2.03 Prover 6: Constructing countermodel ...
% 8.92/2.03 Prover 6: stopped
% 8.92/2.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.23/2.06 Prover 0: Constructing countermodel ...
% 9.23/2.07 Prover 5: Constructing countermodel ...
% 9.23/2.07 Prover 5: stopped
% 9.23/2.11 Prover 0: stopped
% 9.23/2.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.23/2.11 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.32/2.21 Prover 8: Preprocessing ...
% 10.32/2.23 Prover 7: Preprocessing ...
% 10.79/2.28 Prover 13: Preprocessing ...
% 10.79/2.33 Prover 11: Preprocessing ...
% 10.79/2.34 Prover 10: Preprocessing ...
% 11.87/2.41 Prover 8: Constructing countermodel ...
% 12.20/2.51 Prover 13: Constructing countermodel ...
% 12.20/2.53 Prover 7: Constructing countermodel ...
% 12.99/2.58 Prover 11: Constructing countermodel ...
% 13.44/2.61 Prover 10: Constructing countermodel ...
% 29.31/4.78 Prover 10: Found proof (size 947)
% 29.31/4.78 Prover 10: proved (2749ms)
% 29.31/4.79 Prover 11: stopped
% 29.31/4.79 Prover 1: stopped
% 29.31/4.79 Prover 7: stopped
% 29.31/4.79 Prover 4: stopped
% 29.31/4.79 Prover 8: stopped
% 29.31/4.79 Prover 13: stopped
% 29.31/4.79
% 29.31/4.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.31/4.79
% 30.39/4.86 % SZS output start Proof for theBenchmark
% 30.39/4.86 Assumptions after simplification:
% 30.39/4.87 ---------------------------------
% 30.39/4.87
% 30.39/4.87 (ax1)
% 30.39/4.87 ~ (e3 = e2) & ~ (e3 = e0) & ~ (e3 = e1) & ~ (e2 = e0) & ~ (e2 = e1) & ~
% 30.39/4.87 (e0 = e1) & $i(e3) & $i(e2) & $i(e0) & $i(e1)
% 30.39/4.87
% 30.39/4.88 (ax2)
% 30.39/4.92 op(e3, e3) = e0 & op(e3, e2) = e1 & op(e3, e0) = e3 & op(e3, e1) = e2 & op(e2,
% 30.39/4.92 e3) = e1 & op(e2, e2) = e3 & op(e2, e0) = e2 & op(e2, e1) = e0 & op(e0, e3)
% 30.39/4.92 = e3 & op(e0, e2) = e2 & op(e0, e0) = e0 & op(e0, e1) = e1 & op(e1, e3) = e2 &
% 30.39/4.92 op(e1, e2) = e0 & op(e1, e0) = e1 & op(e1, e1) = e3 & $i(e3) & $i(e2) & $i(e0)
% 30.39/4.92 & $i(e1)
% 30.39/4.92
% 30.39/4.92 (ax3)
% 30.39/4.92 unit = e0 & $i(e0)
% 30.39/4.92
% 30.39/4.92 (ax4)
% 30.39/4.93 inv(e3) = e3 & inv(e2) = e1 & inv(e0) = e0 & inv(e1) = e2 & $i(e3) & $i(e2) &
% 30.39/4.93 $i(e0) & $i(e1)
% 30.39/4.93
% 30.39/4.93 (co1)
% 31.07/5.01 $i(unit) & $i(e3) & $i(e2) & $i(e0) & $i(e1) & ? [v0: $i] : ? [v1: $i] : ?
% 31.07/5.01 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 31.07/5.01 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 31.07/5.01 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 31.07/5.01 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 31.07/5.01 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 31.07/5.01 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 31.07/5.01 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 31.07/5.01 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 31.07/5.01 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ?
% 31.07/5.01 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ?
% 31.07/5.02 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ?
% 31.07/5.02 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ?
% 31.07/5.02 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ?
% 31.07/5.02 [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ?
% 31.07/5.02 [v73: $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ?
% 31.07/5.02 [v78: $i] : ? [v79: $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ?
% 31.07/5.02 [v83: $i] : ? [v84: $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ?
% 31.07/5.02 [v88: $i] : ? [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ?
% 31.07/5.02 [v93: $i] : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ?
% 31.07/5.02 [v98: $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ?
% 31.07/5.02 [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] :
% 31.07/5.02 ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: $i] : ? [v112: $i] :
% 31.07/5.02 ? [v113: $i] : ? [v114: $i] : ? [v115: $i] : ? [v116: $i] : ? [v117: $i]
% 31.07/5.02 : ? [v118: $i] : ? [v119: $i] : ? [v120: $i] : ? [v121: $i] : ? [v122:
% 31.07/5.02 $i] : ? [v123: $i] : ? [v124: $i] : ? [v125: $i] : ? [v126: $i] : ?
% 31.07/5.02 [v127: $i] : ? [v128: $i] : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] :
% 31.07/5.02 ? [v132: $i] : ? [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] :
% 31.07/5.02 ? [v137: $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 31.07/5.02 : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? [v146:
% 31.07/5.02 $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: $i] : ?
% 31.07/5.02 [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] : ? [v155: $i] :
% 31.07/5.02 ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? [v159: $i] : ? [v160: $i] :
% 31.07/5.02 ? [v161: $i] : ? [v162: $i] : ? [v163: $i] : (( ~ (v163 = unit) & inv(e3) =
% 31.07/5.02 v161 & op(v161, e3) = v163 & $i(v163) & $i(v161)) | ( ~ (v162 = unit) &
% 31.07/5.02 inv(e3) = v161 & op(e3, v161) = v162 & $i(v162) & $i(v161)) | ( ~ (v161 =
% 31.07/5.02 e3) & ~ (v161 = e2) & ~ (v161 = e0) & ~ (v161 = e1) & inv(e3) = v161
% 31.07/5.02 & $i(v161)) | ( ~ (v160 = unit) & inv(e2) = v158 & op(v158, e2) = v160 &
% 31.07/5.02 $i(v160) & $i(v158)) | ( ~ (v159 = unit) & inv(e2) = v158 & op(e2, v158) =
% 31.07/5.02 v159 & $i(v159) & $i(v158)) | ( ~ (v158 = e3) & ~ (v158 = e2) & ~ (v158
% 31.07/5.02 = e0) & ~ (v158 = e1) & inv(e2) = v158 & $i(v158)) | ( ~ (v157 = unit)
% 31.07/5.02 & inv(e1) = v155 & op(v155, e1) = v157 & $i(v157) & $i(v155)) | ( ~ (v156
% 31.07/5.02 = unit) & inv(e1) = v155 & op(e1, v155) = v156 & $i(v156) & $i(v155)) |
% 31.07/5.02 ( ~ (v155 = e3) & ~ (v155 = e2) & ~ (v155 = e0) & ~ (v155 = e1) & inv(e1)
% 31.07/5.02 = v155 & $i(v155)) | ( ~ (v154 = unit) & inv(e0) = v152 & op(v152, e0) =
% 31.07/5.02 v154 & $i(v154) & $i(v152)) | ( ~ (v153 = unit) & inv(e0) = v152 & op(e0,
% 31.07/5.02 v152) = v153 & $i(v153) & $i(v152)) | ( ~ (v152 = e3) & ~ (v152 = e2) &
% 31.07/5.02 ~ (v152 = e0) & ~ (v152 = e1) & inv(e0) = v152 & $i(v152)) | ( ~ (v151 =
% 31.07/5.02 e3) & op(e3, unit) = v151 & $i(v151)) | ( ~ (v150 = e3) & op(unit, e3) =
% 31.07/5.02 v150 & $i(v150)) | ( ~ (v149 = e2) & op(e2, unit) = v149 & $i(v149)) | ( ~
% 31.07/5.02 (v148 = e2) & op(unit, e2) = v148 & $i(v148)) | ( ~ (v147 = e1) & op(e1,
% 31.07/5.02 unit) = v147 & $i(v147)) | ( ~ (v146 = e1) & op(unit, e1) = v146 &
% 31.07/5.02 $i(v146)) | ( ~ (v145 = e0) & op(e0, unit) = v145 & $i(v145)) | ( ~ (v144
% 31.07/5.02 = e0) & op(unit, e0) = v144 & $i(v144)) | ( ~ (v143 = v142) & op(v3, e3)
% 31.07/5.02 = v142 & op(e3, v3) = v143 & op(e3, e3) = v3 & $i(v143) & $i(v142) &
% 31.07/5.02 $i(v3)) | ( ~ (v141 = v140) & op(v3, e2) = v140 & op(e3, v15) = v141 &
% 31.07/5.02 op(e3, e3) = v3 & op(e3, e2) = v15 & $i(v141) & $i(v140) & $i(v15) &
% 31.07/5.02 $i(v3)) | ( ~ (v139 = v138) & op(v3, e1) = v138 & op(e3, v14) = v139 &
% 31.07/5.02 op(e3, e3) = v3 & op(e3, e1) = v14 & $i(v139) & $i(v138) & $i(v14) &
% 31.07/5.02 $i(v3)) | ( ~ (v137 = v136) & op(v3, e0) = v136 & op(e3, v13) = v137 &
% 31.07/5.02 op(e3, e3) = v3 & op(e3, e0) = v13 & $i(v137) & $i(v136) & $i(v13) &
% 31.07/5.02 $i(v3)) | ( ~ (v135 = v134) & op(v15, e3) = v134 & op(e3, v12) = v135 &
% 31.07/5.02 op(e3, e2) = v15 & op(e2, e3) = v12 & $i(v135) & $i(v134) & $i(v15) &
% 31.07/5.02 $i(v12)) | ( ~ (v133 = v132) & op(v15, e2) = v132 & op(e3, v2) = v133 &
% 31.07/5.02 op(e3, e2) = v15 & op(e2, e2) = v2 & $i(v133) & $i(v132) & $i(v15) &
% 31.07/5.02 $i(v2)) | ( ~ (v131 = v130) & op(v15, e1) = v130 & op(e3, v11) = v131 &
% 31.07/5.02 op(e3, e2) = v15 & op(e2, e1) = v11 & $i(v131) & $i(v130) & $i(v15) &
% 31.07/5.02 $i(v11)) | ( ~ (v129 = v128) & op(v15, e0) = v128 & op(e3, v10) = v129 &
% 31.07/5.02 op(e3, e2) = v15 & op(e2, e0) = v10 & $i(v129) & $i(v128) & $i(v15) &
% 31.07/5.02 $i(v10)) | ( ~ (v127 = v126) & op(v14, e3) = v126 & op(e3, v9) = v127 &
% 31.07/5.02 op(e3, e1) = v14 & op(e1, e3) = v9 & $i(v127) & $i(v126) & $i(v14) &
% 31.07/5.02 $i(v9)) | ( ~ (v125 = v124) & op(v14, e2) = v124 & op(e3, v8) = v125 &
% 31.07/5.02 op(e3, e1) = v14 & op(e1, e2) = v8 & $i(v125) & $i(v124) & $i(v14) &
% 31.07/5.02 $i(v8)) | ( ~ (v123 = v122) & op(v14, e1) = v122 & op(e3, v1) = v123 &
% 31.07/5.02 op(e3, e1) = v14 & op(e1, e1) = v1 & $i(v123) & $i(v122) & $i(v14) &
% 31.07/5.02 $i(v1)) | ( ~ (v121 = v120) & op(v14, e0) = v120 & op(e3, v7) = v121 &
% 31.07/5.02 op(e3, e1) = v14 & op(e1, e0) = v7 & $i(v121) & $i(v120) & $i(v14) &
% 31.07/5.02 $i(v7)) | ( ~ (v119 = v118) & op(v13, e3) = v118 & op(e3, v6) = v119 &
% 31.07/5.02 op(e3, e0) = v13 & op(e0, e3) = v6 & $i(v119) & $i(v118) & $i(v13) &
% 31.07/5.02 $i(v6)) | ( ~ (v117 = v116) & op(v13, e2) = v116 & op(e3, v5) = v117 &
% 31.07/5.02 op(e3, e0) = v13 & op(e0, e2) = v5 & $i(v117) & $i(v116) & $i(v13) &
% 31.07/5.03 $i(v5)) | ( ~ (v115 = v114) & op(v13, e1) = v114 & op(e3, v4) = v115 &
% 31.07/5.03 op(e3, e0) = v13 & op(e0, e1) = v4 & $i(v115) & $i(v114) & $i(v13) &
% 31.07/5.03 $i(v4)) | ( ~ (v113 = v112) & op(v13, e0) = v112 & op(e3, v0) = v113 &
% 31.07/5.03 op(e3, e0) = v13 & op(e0, e0) = v0 & $i(v113) & $i(v112) & $i(v13) &
% 31.07/5.03 $i(v0)) | ( ~ (v111 = v110) & op(v12, e3) = v110 & op(e3, e3) = v3 &
% 31.07/5.03 op(e2, v3) = v111 & op(e2, e3) = v12 & $i(v111) & $i(v110) & $i(v12) &
% 31.07/5.03 $i(v3)) | ( ~ (v109 = v108) & op(v12, e2) = v108 & op(e3, e2) = v15 &
% 31.07/5.03 op(e2, v15) = v109 & op(e2, e3) = v12 & $i(v109) & $i(v108) & $i(v15) &
% 31.07/5.03 $i(v12)) | ( ~ (v107 = v106) & op(v12, e1) = v106 & op(e3, e1) = v14 &
% 31.07/5.03 op(e2, v14) = v107 & op(e2, e3) = v12 & $i(v107) & $i(v106) & $i(v14) &
% 31.07/5.03 $i(v12)) | ( ~ (v105 = v104) & op(v12, e0) = v104 & op(e3, e0) = v13 &
% 31.07/5.03 op(e2, v13) = v105 & op(e2, e3) = v12 & $i(v105) & $i(v104) & $i(v13) &
% 31.07/5.03 $i(v12)) | ( ~ (v103 = v102) & op(v2, e3) = v102 & op(e2, v12) = v103 &
% 31.07/5.03 op(e2, e3) = v12 & op(e2, e2) = v2 & $i(v103) & $i(v102) & $i(v12) &
% 31.07/5.03 $i(v2)) | ( ~ (v101 = v100) & op(v2, e2) = v100 & op(e2, v2) = v101 &
% 31.07/5.03 op(e2, e2) = v2 & $i(v101) & $i(v100) & $i(v2)) | ( ~ (v99 = v98) & op(v2,
% 31.07/5.03 e1) = v98 & op(e2, v11) = v99 & op(e2, e2) = v2 & op(e2, e1) = v11 &
% 31.07/5.03 $i(v99) & $i(v98) & $i(v11) & $i(v2)) | ( ~ (v97 = v96) & op(v2, e0) = v96
% 31.07/5.03 & op(e2, v10) = v97 & op(e2, e2) = v2 & op(e2, e0) = v10 & $i(v97) &
% 31.07/5.03 $i(v96) & $i(v10) & $i(v2)) | ( ~ (v95 = v94) & op(v11, e3) = v94 & op(e2,
% 31.07/5.03 v9) = v95 & op(e2, e1) = v11 & op(e1, e3) = v9 & $i(v95) & $i(v94) &
% 31.07/5.03 $i(v11) & $i(v9)) | ( ~ (v93 = v92) & op(v11, e2) = v92 & op(e2, v8) = v93
% 31.07/5.03 & op(e2, e1) = v11 & op(e1, e2) = v8 & $i(v93) & $i(v92) & $i(v11) &
% 31.07/5.03 $i(v8)) | ( ~ (v91 = v90) & op(v11, e1) = v90 & op(e2, v1) = v91 & op(e2,
% 31.07/5.03 e1) = v11 & op(e1, e1) = v1 & $i(v91) & $i(v90) & $i(v11) & $i(v1)) | (
% 31.07/5.03 ~ (v89 = v88) & op(v11, e0) = v88 & op(e2, v7) = v89 & op(e2, e1) = v11 &
% 31.07/5.03 op(e1, e0) = v7 & $i(v89) & $i(v88) & $i(v11) & $i(v7)) | ( ~ (v87 = v86)
% 31.07/5.03 & op(v10, e3) = v86 & op(e2, v6) = v87 & op(e2, e0) = v10 & op(e0, e3) =
% 31.07/5.03 v6 & $i(v87) & $i(v86) & $i(v10) & $i(v6)) | ( ~ (v85 = v84) & op(v10, e2)
% 31.07/5.03 = v84 & op(e2, v5) = v85 & op(e2, e0) = v10 & op(e0, e2) = v5 & $i(v85) &
% 31.07/5.03 $i(v84) & $i(v10) & $i(v5)) | ( ~ (v83 = v82) & op(v10, e1) = v82 & op(e2,
% 31.07/5.03 v4) = v83 & op(e2, e0) = v10 & op(e0, e1) = v4 & $i(v83) & $i(v82) &
% 31.07/5.03 $i(v10) & $i(v4)) | ( ~ (v81 = v80) & op(v10, e0) = v80 & op(e2, v0) = v81
% 31.07/5.03 & op(e2, e0) = v10 & op(e0, e0) = v0 & $i(v81) & $i(v80) & $i(v10) &
% 31.07/5.03 $i(v0)) | ( ~ (v79 = v78) & op(v9, e3) = v78 & op(e3, e3) = v3 & op(e1,
% 31.07/5.03 v3) = v79 & op(e1, e3) = v9 & $i(v79) & $i(v78) & $i(v9) & $i(v3)) | ( ~
% 31.07/5.03 (v77 = v76) & op(v9, e2) = v76 & op(e3, e2) = v15 & op(e1, v15) = v77 &
% 31.07/5.03 op(e1, e3) = v9 & $i(v77) & $i(v76) & $i(v15) & $i(v9)) | ( ~ (v75 = v74)
% 31.07/5.03 & op(v9, e1) = v74 & op(e3, e1) = v14 & op(e1, v14) = v75 & op(e1, e3) =
% 31.07/5.03 v9 & $i(v75) & $i(v74) & $i(v14) & $i(v9)) | ( ~ (v73 = v72) & op(v9, e0)
% 31.07/5.03 = v72 & op(e3, e0) = v13 & op(e1, v13) = v73 & op(e1, e3) = v9 & $i(v73) &
% 31.07/5.03 $i(v72) & $i(v13) & $i(v9)) | ( ~ (v71 = v70) & op(v8, e3) = v70 & op(e2,
% 31.07/5.03 e3) = v12 & op(e1, v12) = v71 & op(e1, e2) = v8 & $i(v71) & $i(v70) &
% 31.07/5.03 $i(v12) & $i(v8)) | ( ~ (v69 = v68) & op(v8, e2) = v68 & op(e2, e2) = v2 &
% 31.07/5.03 op(e1, v2) = v69 & op(e1, e2) = v8 & $i(v69) & $i(v68) & $i(v8) & $i(v2))
% 31.07/5.03 | ( ~ (v67 = v66) & op(v8, e1) = v66 & op(e2, e1) = v11 & op(e1, v11) = v67
% 31.07/5.03 & op(e1, e2) = v8 & $i(v67) & $i(v66) & $i(v11) & $i(v8)) | ( ~ (v65 =
% 31.07/5.03 v64) & op(v8, e0) = v64 & op(e2, e0) = v10 & op(e1, v10) = v65 & op(e1,
% 31.07/5.03 e2) = v8 & $i(v65) & $i(v64) & $i(v10) & $i(v8)) | ( ~ (v63 = v62) &
% 31.07/5.03 op(v1, e3) = v62 & op(e1, v9) = v63 & op(e1, e3) = v9 & op(e1, e1) = v1 &
% 31.07/5.03 $i(v63) & $i(v62) & $i(v9) & $i(v1)) | ( ~ (v61 = v60) & op(v1, e2) = v60
% 31.07/5.03 & op(e1, v8) = v61 & op(e1, e2) = v8 & op(e1, e1) = v1 & $i(v61) & $i(v60)
% 31.07/5.03 & $i(v8) & $i(v1)) | ( ~ (v59 = v58) & op(v1, e1) = v58 & op(e1, v1) = v59
% 31.07/5.03 & op(e1, e1) = v1 & $i(v59) & $i(v58) & $i(v1)) | ( ~ (v57 = v56) & op(v1,
% 31.07/5.03 e0) = v56 & op(e1, v7) = v57 & op(e1, e0) = v7 & op(e1, e1) = v1 &
% 31.07/5.03 $i(v57) & $i(v56) & $i(v7) & $i(v1)) | ( ~ (v55 = v54) & op(v7, e3) = v54
% 31.07/5.03 & op(e0, e3) = v6 & op(e1, v6) = v55 & op(e1, e0) = v7 & $i(v55) & $i(v54)
% 31.07/5.03 & $i(v7) & $i(v6)) | ( ~ (v53 = v52) & op(v7, e2) = v52 & op(e0, e2) = v5
% 31.07/5.03 & op(e1, v5) = v53 & op(e1, e0) = v7 & $i(v53) & $i(v52) & $i(v7) &
% 31.07/5.03 $i(v5)) | ( ~ (v51 = v50) & op(v7, e1) = v50 & op(e0, e1) = v4 & op(e1,
% 31.07/5.03 v4) = v51 & op(e1, e0) = v7 & $i(v51) & $i(v50) & $i(v7) & $i(v4)) | ( ~
% 31.07/5.03 (v49 = v48) & op(v7, e0) = v48 & op(e0, e0) = v0 & op(e1, v0) = v49 &
% 31.07/5.03 op(e1, e0) = v7 & $i(v49) & $i(v48) & $i(v7) & $i(v0)) | ( ~ (v47 = v46) &
% 31.07/5.03 op(v6, e3) = v46 & op(e3, e3) = v3 & op(e0, v3) = v47 & op(e0, e3) = v6 &
% 31.07/5.03 $i(v47) & $i(v46) & $i(v6) & $i(v3)) | ( ~ (v45 = v44) & op(v6, e2) = v44
% 31.07/5.03 & op(e3, e2) = v15 & op(e0, v15) = v45 & op(e0, e3) = v6 & $i(v45) &
% 31.07/5.03 $i(v44) & $i(v15) & $i(v6)) | ( ~ (v43 = v42) & op(v6, e1) = v42 & op(e3,
% 31.07/5.03 e1) = v14 & op(e0, v14) = v43 & op(e0, e3) = v6 & $i(v43) & $i(v42) &
% 31.07/5.03 $i(v14) & $i(v6)) | ( ~ (v41 = v40) & op(v6, e0) = v40 & op(e3, e0) = v13
% 31.07/5.04 & op(e0, v13) = v41 & op(e0, e3) = v6 & $i(v41) & $i(v40) & $i(v13) &
% 31.07/5.04 $i(v6)) | ( ~ (v39 = v38) & op(v5, e3) = v38 & op(e2, e3) = v12 & op(e0,
% 31.07/5.04 v12) = v39 & op(e0, e2) = v5 & $i(v39) & $i(v38) & $i(v12) & $i(v5)) | (
% 31.07/5.04 ~ (v37 = v36) & op(v5, e2) = v36 & op(e2, e2) = v2 & op(e0, v2) = v37 &
% 31.07/5.04 op(e0, e2) = v5 & $i(v37) & $i(v36) & $i(v5) & $i(v2)) | ( ~ (v35 = v34) &
% 31.07/5.04 op(v5, e1) = v34 & op(e2, e1) = v11 & op(e0, v11) = v35 & op(e0, e2) = v5
% 31.07/5.04 & $i(v35) & $i(v34) & $i(v11) & $i(v5)) | ( ~ (v33 = v32) & op(v5, e0) =
% 31.07/5.04 v32 & op(e2, e0) = v10 & op(e0, v10) = v33 & op(e0, e2) = v5 & $i(v33) &
% 31.07/5.04 $i(v32) & $i(v10) & $i(v5)) | ( ~ (v31 = v30) & op(v4, e3) = v30 & op(e0,
% 31.07/5.04 v9) = v31 & op(e0, e1) = v4 & op(e1, e3) = v9 & $i(v31) & $i(v30) &
% 31.07/5.04 $i(v9) & $i(v4)) | ( ~ (v29 = v28) & op(v4, e2) = v28 & op(e0, v8) = v29 &
% 31.07/5.04 op(e0, e1) = v4 & op(e1, e2) = v8 & $i(v29) & $i(v28) & $i(v8) & $i(v4)) |
% 31.07/5.04 ( ~ (v27 = v26) & op(v4, e1) = v26 & op(e0, v1) = v27 & op(e0, e1) = v4 &
% 31.07/5.04 op(e1, e1) = v1 & $i(v27) & $i(v26) & $i(v4) & $i(v1)) | ( ~ (v25 = v24) &
% 31.07/5.04 op(v4, e0) = v24 & op(e0, v7) = v25 & op(e0, e1) = v4 & op(e1, e0) = v7 &
% 31.07/5.04 $i(v25) & $i(v24) & $i(v7) & $i(v4)) | ( ~ (v23 = v22) & op(v0, e3) = v22
% 31.07/5.04 & op(e0, v6) = v23 & op(e0, e3) = v6 & op(e0, e0) = v0 & $i(v23) & $i(v22)
% 31.07/5.04 & $i(v6) & $i(v0)) | ( ~ (v21 = v20) & op(v0, e2) = v20 & op(e0, v5) = v21
% 31.07/5.04 & op(e0, e2) = v5 & op(e0, e0) = v0 & $i(v21) & $i(v20) & $i(v5) & $i(v0))
% 31.07/5.04 | ( ~ (v19 = v18) & op(v0, e1) = v18 & op(e0, v4) = v19 & op(e0, e0) = v0 &
% 31.07/5.04 op(e0, e1) = v4 & $i(v19) & $i(v18) & $i(v4) & $i(v0)) | ( ~ (v17 = v16) &
% 31.07/5.04 op(v0, e0) = v16 & op(e0, v0) = v17 & op(e0, e0) = v0 & $i(v17) & $i(v16)
% 31.07/5.04 & $i(v0)) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ (v15 = e0) & ~ (v15 = e1)
% 31.07/5.04 & op(e3, e2) = v15 & $i(v15)) | ( ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 =
% 31.07/5.04 e0) & ~ (v14 = e1) & op(e3, e1) = v14 & $i(v14)) | ( ~ (v13 = e3) & ~
% 31.07/5.04 (v13 = e2) & ~ (v13 = e0) & ~ (v13 = e1) & op(e3, e0) = v13 & $i(v13)) |
% 31.07/5.04 ( ~ (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ (v12 = e1) & op(e2, e3)
% 31.07/5.04 = v12 & $i(v12)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~ (v11 = e0) & ~
% 31.07/5.04 (v11 = e1) & op(e2, e1) = v11 & $i(v11)) | ( ~ (v10 = e3) & ~ (v10 = e2)
% 31.07/5.04 & ~ (v10 = e0) & ~ (v10 = e1) & op(e2, e0) = v10 & $i(v10)) | ( ~ (v9 =
% 31.07/5.04 e3) & ~ (v9 = e2) & ~ (v9 = e0) & ~ (v9 = e1) & op(e1, e3) = v9 &
% 31.07/5.04 $i(v9)) | ( ~ (v8 = e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ (v8 = e1) &
% 31.07/5.04 op(e1, e2) = v8 & $i(v8)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e0) &
% 31.07/5.04 ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7)) | ( ~ (v6 = e3) & ~ (v6 = e2) &
% 31.07/5.04 ~ (v6 = e0) & ~ (v6 = e1) & op(e0, e3) = v6 & $i(v6)) | ( ~ (v5 = e3) &
% 31.07/5.04 ~ (v5 = e2) & ~ (v5 = e0) & ~ (v5 = e1) & op(e0, e2) = v5 & $i(v5)) | (
% 31.07/5.04 ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = e0) & ~ (v4 = e1) & op(e0, e1) = v4
% 31.07/5.04 & $i(v4)) | ( ~ (v3 = e3) & ~ (v3 = e2) & ~ (v3 = e0) & ~ (v3 = e1) &
% 31.07/5.04 op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) &
% 31.07/5.04 ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & ~ (v1 = e2) &
% 31.07/5.04 ~ (v1 = e0) & ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (unit = e3) &
% 31.07/5.04 ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | (op(e0, e0) = v0 &
% 31.07/5.04 $i(v0) & (( ~ (v0 = e3) & ~ (v0 = e2) & ~ (v0 = e0) & ~ (v0 = e1)) |
% 31.07/5.04 (op(e3, e3) = v3 & op(e2, e2) = v2 & op(e1, e1) = v1 & $i(v3) & $i(v2) &
% 31.07/5.04 $i(v1) & ((v3 = e3 & v2 = e3 & v1 = e3 & v0 = e3) | (v3 = e2 & v2 = e2
% 31.07/5.04 & v1 = e2 & v0 = e2) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0) |
% 31.07/5.04 (v3 = e1 & v2 = e1 & v1 = e1 & v0 = e1))))))
% 31.07/5.04
% 31.07/5.04 (function-axioms)
% 31.07/5.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 31.07/5.04 v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 31.07/5.04 $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 31.07/5.04
% 31.07/5.04 Those formulas are unsatisfiable:
% 31.07/5.04 ---------------------------------
% 31.07/5.04
% 31.07/5.04 Begin of proof
% 31.07/5.05 |
% 31.07/5.05 | ALPHA: (ax1) implies:
% 31.35/5.05 | (1) ~ (e0 = e1)
% 31.35/5.05 | (2) ~ (e2 = e0)
% 31.35/5.05 | (3) ~ (e3 = e0)
% 31.35/5.05 |
% 31.35/5.05 | ALPHA: (ax2) implies:
% 31.35/5.05 | (4) op(e1, e1) = e3
% 31.35/5.05 | (5) op(e1, e0) = e1
% 31.35/5.05 | (6) op(e1, e2) = e0
% 31.35/5.05 | (7) op(e1, e3) = e2
% 31.35/5.05 | (8) op(e0, e1) = e1
% 31.35/5.05 | (9) op(e0, e0) = e0
% 31.35/5.05 | (10) op(e0, e2) = e2
% 31.35/5.05 | (11) op(e0, e3) = e3
% 31.35/5.05 | (12) op(e2, e1) = e0
% 31.35/5.05 | (13) op(e2, e0) = e2
% 31.35/5.05 | (14) op(e2, e2) = e3
% 31.35/5.05 | (15) op(e2, e3) = e1
% 31.35/5.05 | (16) op(e3, e1) = e2
% 31.35/5.05 | (17) op(e3, e0) = e3
% 31.35/5.05 | (18) op(e3, e2) = e1
% 31.35/5.05 | (19) op(e3, e3) = e0
% 31.35/5.05 |
% 31.35/5.05 | ALPHA: (ax3) implies:
% 31.38/5.05 | (20) unit = e0
% 31.38/5.05 |
% 31.38/5.06 | ALPHA: (ax4) implies:
% 31.38/5.06 | (21) inv(e1) = e2
% 31.38/5.06 | (22) inv(e0) = e0
% 31.38/5.06 | (23) inv(e2) = e1
% 31.38/5.06 | (24) inv(e3) = e3
% 31.38/5.06 |
% 31.38/5.06 | ALPHA: (co1) implies:
% 31.38/5.09 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 31.38/5.09 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 31.38/5.09 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 31.38/5.09 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 31.38/5.09 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 31.38/5.09 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 31.38/5.09 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 31.38/5.10 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 31.38/5.10 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 31.38/5.10 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 31.38/5.10 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 31.38/5.10 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 31.38/5.10 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 31.38/5.10 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 31.38/5.10 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 31.38/5.10 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 31.38/5.10 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 31.38/5.10 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 31.38/5.10 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 31.38/5.10 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 31.38/5.10 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 31.38/5.10 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 31.38/5.10 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 31.38/5.10 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 31.38/5.10 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 31.38/5.10 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 31.38/5.10 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 31.38/5.10 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 31.38/5.10 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 31.38/5.10 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 31.38/5.10 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 31.38/5.10 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 31.38/5.10 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 31.38/5.10 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 31.38/5.10 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 31.38/5.10 | [v159: $i] : ? [v160: $i] : ? [v161: $i] : ? [v162: $i] : ? [v163:
% 31.38/5.10 | $i] : (( ~ (v163 = unit) & inv(e3) = v161 & op(v161, e3) = v163 &
% 31.38/5.10 | $i(v163) & $i(v161)) | ( ~ (v162 = unit) & inv(e3) = v161 & op(e3,
% 31.38/5.10 | v161) = v162 & $i(v162) & $i(v161)) | ( ~ (v161 = e3) & ~ (v161
% 31.38/5.10 | = e2) & ~ (v161 = e0) & ~ (v161 = e1) & inv(e3) = v161 &
% 31.38/5.10 | $i(v161)) | ( ~ (v160 = unit) & inv(e2) = v158 & op(v158, e2) =
% 31.38/5.10 | v160 & $i(v160) & $i(v158)) | ( ~ (v159 = unit) & inv(e2) = v158 &
% 31.38/5.10 | op(e2, v158) = v159 & $i(v159) & $i(v158)) | ( ~ (v158 = e3) & ~
% 31.38/5.10 | (v158 = e2) & ~ (v158 = e0) & ~ (v158 = e1) & inv(e2) = v158 &
% 31.38/5.10 | $i(v158)) | ( ~ (v157 = unit) & inv(e1) = v155 & op(v155, e1) =
% 31.38/5.10 | v157 & $i(v157) & $i(v155)) | ( ~ (v156 = unit) & inv(e1) = v155 &
% 31.38/5.10 | op(e1, v155) = v156 & $i(v156) & $i(v155)) | ( ~ (v155 = e3) & ~
% 31.38/5.10 | (v155 = e2) & ~ (v155 = e0) & ~ (v155 = e1) & inv(e1) = v155 &
% 31.38/5.10 | $i(v155)) | ( ~ (v154 = unit) & inv(e0) = v152 & op(v152, e0) =
% 31.38/5.10 | v154 & $i(v154) & $i(v152)) | ( ~ (v153 = unit) & inv(e0) = v152 &
% 31.38/5.10 | op(e0, v152) = v153 & $i(v153) & $i(v152)) | ( ~ (v152 = e3) & ~
% 31.38/5.10 | (v152 = e2) & ~ (v152 = e0) & ~ (v152 = e1) & inv(e0) = v152 &
% 31.38/5.10 | $i(v152)) | ( ~ (v151 = e3) & op(e3, unit) = v151 & $i(v151)) | (
% 31.38/5.10 | ~ (v150 = e3) & op(unit, e3) = v150 & $i(v150)) | ( ~ (v149 = e2)
% 31.38/5.10 | & op(e2, unit) = v149 & $i(v149)) | ( ~ (v148 = e2) & op(unit, e2)
% 31.38/5.10 | = v148 & $i(v148)) | ( ~ (v147 = e1) & op(e1, unit) = v147 &
% 31.38/5.10 | $i(v147)) | ( ~ (v146 = e1) & op(unit, e1) = v146 & $i(v146)) | (
% 31.38/5.10 | ~ (v145 = e0) & op(e0, unit) = v145 & $i(v145)) | ( ~ (v144 = e0)
% 31.38/5.10 | & op(unit, e0) = v144 & $i(v144)) | ( ~ (v143 = v142) & op(v3, e3)
% 31.38/5.10 | = v142 & op(e3, v3) = v143 & op(e3, e3) = v3 & $i(v143) & $i(v142)
% 31.38/5.10 | & $i(v3)) | ( ~ (v141 = v140) & op(v3, e2) = v140 & op(e3, v15) =
% 31.38/5.10 | v141 & op(e3, e3) = v3 & op(e3, e2) = v15 & $i(v141) & $i(v140) &
% 31.38/5.10 | $i(v15) & $i(v3)) | ( ~ (v139 = v138) & op(v3, e1) = v138 & op(e3,
% 31.38/5.10 | v14) = v139 & op(e3, e3) = v3 & op(e3, e1) = v14 & $i(v139) &
% 31.38/5.10 | $i(v138) & $i(v14) & $i(v3)) | ( ~ (v137 = v136) & op(v3, e0) =
% 31.38/5.10 | v136 & op(e3, v13) = v137 & op(e3, e3) = v3 & op(e3, e0) = v13 &
% 31.38/5.10 | $i(v137) & $i(v136) & $i(v13) & $i(v3)) | ( ~ (v135 = v134) &
% 31.38/5.10 | op(v15, e3) = v134 & op(e3, v12) = v135 & op(e3, e2) = v15 &
% 31.38/5.10 | op(e2, e3) = v12 & $i(v135) & $i(v134) & $i(v15) & $i(v12)) | ( ~
% 31.38/5.10 | (v133 = v132) & op(v15, e2) = v132 & op(e3, v2) = v133 & op(e3,
% 31.38/5.10 | e2) = v15 & op(e2, e2) = v2 & $i(v133) & $i(v132) & $i(v15) &
% 31.38/5.10 | $i(v2)) | ( ~ (v131 = v130) & op(v15, e1) = v130 & op(e3, v11) =
% 31.38/5.10 | v131 & op(e3, e2) = v15 & op(e2, e1) = v11 & $i(v131) & $i(v130) &
% 31.38/5.10 | $i(v15) & $i(v11)) | ( ~ (v129 = v128) & op(v15, e0) = v128 &
% 31.38/5.10 | op(e3, v10) = v129 & op(e3, e2) = v15 & op(e2, e0) = v10 &
% 31.38/5.10 | $i(v129) & $i(v128) & $i(v15) & $i(v10)) | ( ~ (v127 = v126) &
% 31.38/5.10 | op(v14, e3) = v126 & op(e3, v9) = v127 & op(e3, e1) = v14 & op(e1,
% 31.38/5.10 | e3) = v9 & $i(v127) & $i(v126) & $i(v14) & $i(v9)) | ( ~ (v125 =
% 31.38/5.10 | v124) & op(v14, e2) = v124 & op(e3, v8) = v125 & op(e3, e1) =
% 31.38/5.10 | v14 & op(e1, e2) = v8 & $i(v125) & $i(v124) & $i(v14) & $i(v8)) |
% 31.38/5.10 | ( ~ (v123 = v122) & op(v14, e1) = v122 & op(e3, v1) = v123 & op(e3,
% 31.38/5.10 | e1) = v14 & op(e1, e1) = v1 & $i(v123) & $i(v122) & $i(v14) &
% 31.38/5.10 | $i(v1)) | ( ~ (v121 = v120) & op(v14, e0) = v120 & op(e3, v7) =
% 31.38/5.10 | v121 & op(e3, e1) = v14 & op(e1, e0) = v7 & $i(v121) & $i(v120) &
% 31.38/5.10 | $i(v14) & $i(v7)) | ( ~ (v119 = v118) & op(v13, e3) = v118 &
% 31.38/5.10 | op(e3, v6) = v119 & op(e3, e0) = v13 & op(e0, e3) = v6 & $i(v119)
% 31.38/5.10 | & $i(v118) & $i(v13) & $i(v6)) | ( ~ (v117 = v116) & op(v13, e2) =
% 31.38/5.10 | v116 & op(e3, v5) = v117 & op(e3, e0) = v13 & op(e0, e2) = v5 &
% 31.38/5.10 | $i(v117) & $i(v116) & $i(v13) & $i(v5)) | ( ~ (v115 = v114) &
% 31.38/5.10 | op(v13, e1) = v114 & op(e3, v4) = v115 & op(e3, e0) = v13 & op(e0,
% 31.38/5.10 | e1) = v4 & $i(v115) & $i(v114) & $i(v13) & $i(v4)) | ( ~ (v113 =
% 31.38/5.10 | v112) & op(v13, e0) = v112 & op(e3, v0) = v113 & op(e3, e0) =
% 31.38/5.10 | v13 & op(e0, e0) = v0 & $i(v113) & $i(v112) & $i(v13) & $i(v0)) |
% 31.38/5.10 | ( ~ (v111 = v110) & op(v12, e3) = v110 & op(e3, e3) = v3 & op(e2,
% 31.38/5.10 | v3) = v111 & op(e2, e3) = v12 & $i(v111) & $i(v110) & $i(v12) &
% 31.38/5.10 | $i(v3)) | ( ~ (v109 = v108) & op(v12, e2) = v108 & op(e3, e2) =
% 31.38/5.10 | v15 & op(e2, v15) = v109 & op(e2, e3) = v12 & $i(v109) & $i(v108)
% 31.38/5.10 | & $i(v15) & $i(v12)) | ( ~ (v107 = v106) & op(v12, e1) = v106 &
% 31.38/5.10 | op(e3, e1) = v14 & op(e2, v14) = v107 & op(e2, e3) = v12 &
% 31.38/5.10 | $i(v107) & $i(v106) & $i(v14) & $i(v12)) | ( ~ (v105 = v104) &
% 31.38/5.10 | op(v12, e0) = v104 & op(e3, e0) = v13 & op(e2, v13) = v105 &
% 31.38/5.10 | op(e2, e3) = v12 & $i(v105) & $i(v104) & $i(v13) & $i(v12)) | ( ~
% 31.38/5.10 | (v103 = v102) & op(v2, e3) = v102 & op(e2, v12) = v103 & op(e2,
% 31.38/5.10 | e3) = v12 & op(e2, e2) = v2 & $i(v103) & $i(v102) & $i(v12) &
% 31.38/5.10 | $i(v2)) | ( ~ (v101 = v100) & op(v2, e2) = v100 & op(e2, v2) =
% 31.38/5.10 | v101 & op(e2, e2) = v2 & $i(v101) & $i(v100) & $i(v2)) | ( ~ (v99
% 31.38/5.10 | = v98) & op(v2, e1) = v98 & op(e2, v11) = v99 & op(e2, e2) = v2
% 31.38/5.10 | & op(e2, e1) = v11 & $i(v99) & $i(v98) & $i(v11) & $i(v2)) | ( ~
% 31.38/5.10 | (v97 = v96) & op(v2, e0) = v96 & op(e2, v10) = v97 & op(e2, e2) =
% 31.38/5.10 | v2 & op(e2, e0) = v10 & $i(v97) & $i(v96) & $i(v10) & $i(v2)) | (
% 31.38/5.10 | ~ (v95 = v94) & op(v11, e3) = v94 & op(e2, v9) = v95 & op(e2, e1)
% 31.38/5.10 | = v11 & op(e1, e3) = v9 & $i(v95) & $i(v94) & $i(v11) & $i(v9)) |
% 31.38/5.10 | ( ~ (v93 = v92) & op(v11, e2) = v92 & op(e2, v8) = v93 & op(e2, e1)
% 31.38/5.10 | = v11 & op(e1, e2) = v8 & $i(v93) & $i(v92) & $i(v11) & $i(v8)) |
% 31.38/5.10 | ( ~ (v91 = v90) & op(v11, e1) = v90 & op(e2, v1) = v91 & op(e2, e1)
% 31.38/5.10 | = v11 & op(e1, e1) = v1 & $i(v91) & $i(v90) & $i(v11) & $i(v1)) |
% 31.38/5.10 | ( ~ (v89 = v88) & op(v11, e0) = v88 & op(e2, v7) = v89 & op(e2, e1)
% 31.38/5.10 | = v11 & op(e1, e0) = v7 & $i(v89) & $i(v88) & $i(v11) & $i(v7)) |
% 31.38/5.10 | ( ~ (v87 = v86) & op(v10, e3) = v86 & op(e2, v6) = v87 & op(e2, e0)
% 31.38/5.10 | = v10 & op(e0, e3) = v6 & $i(v87) & $i(v86) & $i(v10) & $i(v6)) |
% 31.60/5.10 | ( ~ (v85 = v84) & op(v10, e2) = v84 & op(e2, v5) = v85 & op(e2, e0)
% 31.60/5.10 | = v10 & op(e0, e2) = v5 & $i(v85) & $i(v84) & $i(v10) & $i(v5)) |
% 31.60/5.10 | ( ~ (v83 = v82) & op(v10, e1) = v82 & op(e2, v4) = v83 & op(e2, e0)
% 31.60/5.10 | = v10 & op(e0, e1) = v4 & $i(v83) & $i(v82) & $i(v10) & $i(v4)) |
% 31.60/5.10 | ( ~ (v81 = v80) & op(v10, e0) = v80 & op(e2, v0) = v81 & op(e2, e0)
% 31.60/5.10 | = v10 & op(e0, e0) = v0 & $i(v81) & $i(v80) & $i(v10) & $i(v0)) |
% 31.60/5.10 | ( ~ (v79 = v78) & op(v9, e3) = v78 & op(e3, e3) = v3 & op(e1, v3) =
% 31.60/5.10 | v79 & op(e1, e3) = v9 & $i(v79) & $i(v78) & $i(v9) & $i(v3)) | ( ~
% 31.60/5.10 | (v77 = v76) & op(v9, e2) = v76 & op(e3, e2) = v15 & op(e1, v15) =
% 31.60/5.10 | v77 & op(e1, e3) = v9 & $i(v77) & $i(v76) & $i(v15) & $i(v9)) | (
% 31.60/5.10 | ~ (v75 = v74) & op(v9, e1) = v74 & op(e3, e1) = v14 & op(e1, v14)
% 31.60/5.10 | = v75 & op(e1, e3) = v9 & $i(v75) & $i(v74) & $i(v14) & $i(v9)) |
% 31.60/5.10 | ( ~ (v73 = v72) & op(v9, e0) = v72 & op(e3, e0) = v13 & op(e1, v13)
% 31.60/5.10 | = v73 & op(e1, e3) = v9 & $i(v73) & $i(v72) & $i(v13) & $i(v9)) |
% 31.60/5.10 | ( ~ (v71 = v70) & op(v8, e3) = v70 & op(e2, e3) = v12 & op(e1, v12)
% 31.60/5.10 | = v71 & op(e1, e2) = v8 & $i(v71) & $i(v70) & $i(v12) & $i(v8)) |
% 31.60/5.10 | ( ~ (v69 = v68) & op(v8, e2) = v68 & op(e2, e2) = v2 & op(e1, v2) =
% 31.60/5.10 | v69 & op(e1, e2) = v8 & $i(v69) & $i(v68) & $i(v8) & $i(v2)) | ( ~
% 31.60/5.10 | (v67 = v66) & op(v8, e1) = v66 & op(e2, e1) = v11 & op(e1, v11) =
% 31.60/5.10 | v67 & op(e1, e2) = v8 & $i(v67) & $i(v66) & $i(v11) & $i(v8)) | (
% 31.60/5.10 | ~ (v65 = v64) & op(v8, e0) = v64 & op(e2, e0) = v10 & op(e1, v10)
% 31.60/5.10 | = v65 & op(e1, e2) = v8 & $i(v65) & $i(v64) & $i(v10) & $i(v8)) |
% 31.60/5.10 | ( ~ (v63 = v62) & op(v1, e3) = v62 & op(e1, v9) = v63 & op(e1, e3) =
% 31.60/5.10 | v9 & op(e1, e1) = v1 & $i(v63) & $i(v62) & $i(v9) & $i(v1)) | ( ~
% 31.60/5.10 | (v61 = v60) & op(v1, e2) = v60 & op(e1, v8) = v61 & op(e1, e2) =
% 31.60/5.10 | v8 & op(e1, e1) = v1 & $i(v61) & $i(v60) & $i(v8) & $i(v1)) | ( ~
% 31.60/5.10 | (v59 = v58) & op(v1, e1) = v58 & op(e1, v1) = v59 & op(e1, e1) =
% 31.60/5.10 | v1 & $i(v59) & $i(v58) & $i(v1)) | ( ~ (v57 = v56) & op(v1, e0) =
% 31.60/5.10 | v56 & op(e1, v7) = v57 & op(e1, e0) = v7 & op(e1, e1) = v1 &
% 31.60/5.10 | $i(v57) & $i(v56) & $i(v7) & $i(v1)) | ( ~ (v55 = v54) & op(v7,
% 31.60/5.10 | e3) = v54 & op(e0, e3) = v6 & op(e1, v6) = v55 & op(e1, e0) = v7
% 31.60/5.10 | & $i(v55) & $i(v54) & $i(v7) & $i(v6)) | ( ~ (v53 = v52) & op(v7,
% 31.60/5.10 | e2) = v52 & op(e0, e2) = v5 & op(e1, v5) = v53 & op(e1, e0) = v7
% 31.60/5.10 | & $i(v53) & $i(v52) & $i(v7) & $i(v5)) | ( ~ (v51 = v50) & op(v7,
% 31.60/5.10 | e1) = v50 & op(e0, e1) = v4 & op(e1, v4) = v51 & op(e1, e0) = v7
% 31.60/5.10 | & $i(v51) & $i(v50) & $i(v7) & $i(v4)) | ( ~ (v49 = v48) & op(v7,
% 31.60/5.10 | e0) = v48 & op(e0, e0) = v0 & op(e1, v0) = v49 & op(e1, e0) = v7
% 31.60/5.10 | & $i(v49) & $i(v48) & $i(v7) & $i(v0)) | ( ~ (v47 = v46) & op(v6,
% 31.60/5.10 | e3) = v46 & op(e3, e3) = v3 & op(e0, v3) = v47 & op(e0, e3) = v6
% 31.60/5.10 | & $i(v47) & $i(v46) & $i(v6) & $i(v3)) | ( ~ (v45 = v44) & op(v6,
% 31.60/5.10 | e2) = v44 & op(e3, e2) = v15 & op(e0, v15) = v45 & op(e0, e3) =
% 31.60/5.10 | v6 & $i(v45) & $i(v44) & $i(v15) & $i(v6)) | ( ~ (v43 = v42) &
% 31.60/5.10 | op(v6, e1) = v42 & op(e3, e1) = v14 & op(e0, v14) = v43 & op(e0,
% 31.60/5.10 | e3) = v6 & $i(v43) & $i(v42) & $i(v14) & $i(v6)) | ( ~ (v41 =
% 31.60/5.10 | v40) & op(v6, e0) = v40 & op(e3, e0) = v13 & op(e0, v13) = v41 &
% 31.60/5.10 | op(e0, e3) = v6 & $i(v41) & $i(v40) & $i(v13) & $i(v6)) | ( ~ (v39
% 31.60/5.10 | = v38) & op(v5, e3) = v38 & op(e2, e3) = v12 & op(e0, v12) = v39
% 31.60/5.10 | & op(e0, e2) = v5 & $i(v39) & $i(v38) & $i(v12) & $i(v5)) | ( ~
% 31.60/5.10 | (v37 = v36) & op(v5, e2) = v36 & op(e2, e2) = v2 & op(e0, v2) =
% 31.60/5.10 | v37 & op(e0, e2) = v5 & $i(v37) & $i(v36) & $i(v5) & $i(v2)) | ( ~
% 31.60/5.10 | (v35 = v34) & op(v5, e1) = v34 & op(e2, e1) = v11 & op(e0, v11) =
% 31.60/5.10 | v35 & op(e0, e2) = v5 & $i(v35) & $i(v34) & $i(v11) & $i(v5)) | (
% 31.60/5.10 | ~ (v33 = v32) & op(v5, e0) = v32 & op(e2, e0) = v10 & op(e0, v10)
% 31.60/5.10 | = v33 & op(e0, e2) = v5 & $i(v33) & $i(v32) & $i(v10) & $i(v5)) |
% 31.60/5.10 | ( ~ (v31 = v30) & op(v4, e3) = v30 & op(e0, v9) = v31 & op(e0, e1) =
% 31.60/5.10 | v4 & op(e1, e3) = v9 & $i(v31) & $i(v30) & $i(v9) & $i(v4)) | ( ~
% 31.60/5.10 | (v29 = v28) & op(v4, e2) = v28 & op(e0, v8) = v29 & op(e0, e1) =
% 31.60/5.10 | v4 & op(e1, e2) = v8 & $i(v29) & $i(v28) & $i(v8) & $i(v4)) | ( ~
% 31.60/5.10 | (v27 = v26) & op(v4, e1) = v26 & op(e0, v1) = v27 & op(e0, e1) =
% 31.60/5.10 | v4 & op(e1, e1) = v1 & $i(v27) & $i(v26) & $i(v4) & $i(v1)) | ( ~
% 31.60/5.10 | (v25 = v24) & op(v4, e0) = v24 & op(e0, v7) = v25 & op(e0, e1) =
% 31.60/5.10 | v4 & op(e1, e0) = v7 & $i(v25) & $i(v24) & $i(v7) & $i(v4)) | ( ~
% 31.60/5.10 | (v23 = v22) & op(v0, e3) = v22 & op(e0, v6) = v23 & op(e0, e3) =
% 31.60/5.10 | v6 & op(e0, e0) = v0 & $i(v23) & $i(v22) & $i(v6) & $i(v0)) | ( ~
% 31.60/5.11 | (v21 = v20) & op(v0, e2) = v20 & op(e0, v5) = v21 & op(e0, e2) =
% 31.60/5.11 | v5 & op(e0, e0) = v0 & $i(v21) & $i(v20) & $i(v5) & $i(v0)) | ( ~
% 31.60/5.11 | (v19 = v18) & op(v0, e1) = v18 & op(e0, v4) = v19 & op(e0, e0) =
% 31.60/5.11 | v0 & op(e0, e1) = v4 & $i(v19) & $i(v18) & $i(v4) & $i(v0)) | ( ~
% 31.60/5.11 | (v17 = v16) & op(v0, e0) = v16 & op(e0, v0) = v17 & op(e0, e0) =
% 31.60/5.11 | v0 & $i(v17) & $i(v16) & $i(v0)) | ( ~ (v15 = e3) & ~ (v15 = e2)
% 31.60/5.11 | & ~ (v15 = e0) & ~ (v15 = e1) & op(e3, e2) = v15 & $i(v15)) | (
% 31.60/5.11 | ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 = e0) & ~ (v14 = e1) &
% 31.60/5.11 | op(e3, e1) = v14 & $i(v14)) | ( ~ (v13 = e3) & ~ (v13 = e2) & ~
% 31.60/5.11 | (v13 = e0) & ~ (v13 = e1) & op(e3, e0) = v13 & $i(v13)) | ( ~
% 31.60/5.11 | (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ (v12 = e1) &
% 31.60/5.11 | op(e2, e3) = v12 & $i(v12)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~
% 31.60/5.11 | (v11 = e0) & ~ (v11 = e1) & op(e2, e1) = v11 & $i(v11)) | ( ~
% 31.60/5.11 | (v10 = e3) & ~ (v10 = e2) & ~ (v10 = e0) & ~ (v10 = e1) &
% 31.60/5.11 | op(e2, e0) = v10 & $i(v10)) | ( ~ (v9 = e3) & ~ (v9 = e2) & ~
% 31.60/5.11 | (v9 = e0) & ~ (v9 = e1) & op(e1, e3) = v9 & $i(v9)) | ( ~ (v8 =
% 31.60/5.11 | e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ (v8 = e1) & op(e1, e2) =
% 31.60/5.11 | v8 & $i(v8)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e0) & ~
% 31.60/5.11 | (v7 = e1) & op(e1, e0) = v7 & $i(v7)) | ( ~ (v6 = e3) & ~ (v6 =
% 31.60/5.11 | e2) & ~ (v6 = e0) & ~ (v6 = e1) & op(e0, e3) = v6 & $i(v6)) |
% 31.60/5.11 | ( ~ (v5 = e3) & ~ (v5 = e2) & ~ (v5 = e0) & ~ (v5 = e1) & op(e0,
% 31.60/5.11 | e2) = v5 & $i(v5)) | ( ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = e0)
% 31.60/5.11 | & ~ (v4 = e1) & op(e0, e1) = v4 & $i(v4)) | ( ~ (v3 = e3) & ~
% 31.60/5.11 | (v3 = e2) & ~ (v3 = e0) & ~ (v3 = e1) & op(e3, e3) = v3 &
% 31.60/5.11 | $i(v3)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) & ~ (v2 =
% 31.60/5.11 | e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & ~ (v1 = e2) &
% 31.60/5.11 | ~ (v1 = e0) & ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~
% 31.60/5.11 | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) |
% 31.60/5.11 | (op(e0, e0) = v0 & $i(v0) & (( ~ (v0 = e3) & ~ (v0 = e2) & ~ (v0 =
% 31.60/5.11 | e0) & ~ (v0 = e1)) | (op(e3, e3) = v3 & op(e2, e2) = v2 &
% 31.60/5.11 | op(e1, e1) = v1 & $i(v3) & $i(v2) & $i(v1) & ((v3 = e3 & v2 =
% 31.60/5.11 | e3 & v1 = e3 & v0 = e3) | (v3 = e2 & v2 = e2 & v1 = e2 &
% 31.60/5.11 | v0 = e2) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0) | (v3 =
% 31.60/5.11 | e1 & v2 = e1 & v1 = e1 & v0 = e1))))))
% 31.60/5.11 |
% 31.60/5.11 | ALPHA: (function-axioms) implies:
% 31.60/5.11 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1)
% 31.60/5.11 | | ~ (inv(v2) = v0))
% 31.60/5.11 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.60/5.11 | (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 31.60/5.11 |
% 31.60/5.11 | DELTA: instantiating (25) with fresh symbols all_4_0, all_4_1, all_4_2,
% 31.60/5.11 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 31.60/5.11 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 31.60/5.11 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 31.60/5.11 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 31.60/5.11 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 31.60/5.11 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 31.60/5.11 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 31.60/5.11 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 31.60/5.11 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 31.60/5.11 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 31.60/5.11 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 31.60/5.11 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 31.60/5.11 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 31.60/5.11 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 31.60/5.11 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106,
% 31.60/5.11 | all_4_107, all_4_108, all_4_109, all_4_110, all_4_111, all_4_112,
% 31.60/5.11 | all_4_113, all_4_114, all_4_115, all_4_116, all_4_117, all_4_118,
% 31.60/5.11 | all_4_119, all_4_120, all_4_121, all_4_122, all_4_123, all_4_124,
% 31.60/5.11 | all_4_125, all_4_126, all_4_127, all_4_128, all_4_129, all_4_130,
% 31.60/5.11 | all_4_131, all_4_132, all_4_133, all_4_134, all_4_135, all_4_136,
% 31.60/5.11 | all_4_137, all_4_138, all_4_139, all_4_140, all_4_141, all_4_142,
% 31.60/5.11 | all_4_143, all_4_144, all_4_145, all_4_146, all_4_147, all_4_148,
% 31.60/5.11 | all_4_149, all_4_150, all_4_151, all_4_152, all_4_153, all_4_154,
% 31.60/5.11 | all_4_155, all_4_156, all_4_157, all_4_158, all_4_159, all_4_160,
% 31.60/5.11 | all_4_161, all_4_162, all_4_163 gives:
% 31.60/5.13 | (28) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = all_4_0 &
% 31.60/5.13 | $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & inv(e3) =
% 31.60/5.13 | all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2)) | (
% 31.60/5.13 | ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~
% 31.60/5.13 | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 =
% 31.60/5.13 | unit) & inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 &
% 31.60/5.13 | $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) =
% 31.60/5.13 | all_4_5 & op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) | (
% 31.60/5.13 | ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~
% 31.60/5.13 | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 =
% 31.60/5.13 | unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 &
% 31.60/5.13 | $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) =
% 31.60/5.13 | all_4_8 & op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) | (
% 31.60/5.13 | ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~
% 31.60/5.13 | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 =
% 31.60/5.13 | unit) & inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 &
% 31.60/5.13 | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) =
% 31.60/5.13 | all_4_11 & op(e0, all_4_11) = all_4_10 & $i(all_4_10) &
% 31.60/5.13 | $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~
% 31.60/5.13 | (all_4_11 = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 &
% 31.60/5.13 | $i(all_4_11)) | ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 &
% 31.60/5.13 | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 &
% 31.60/5.13 | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 &
% 31.60/5.13 | $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 &
% 31.60/5.13 | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 &
% 31.60/5.13 | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 &
% 31.60/5.13 | $i(all_4_17)) | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 &
% 31.60/5.13 | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 &
% 31.60/5.13 | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) =
% 31.60/5.13 | all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 &
% 31.60/5.13 | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 =
% 31.60/5.13 | all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) =
% 31.60/5.13 | all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 &
% 31.60/5.13 | $i(all_4_22) & $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~
% 31.60/5.13 | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3,
% 31.60/5.13 | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) =
% 31.60/5.13 | all_4_149 & $i(all_4_24) & $i(all_4_25) & $i(all_4_149) &
% 31.60/5.13 | $i(all_4_160)) | ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) =
% 31.60/5.13 | all_4_27 & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 &
% 31.60/5.13 | op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, e3) =
% 31.60/5.13 | all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148 &
% 31.60/5.13 | op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_151)) | ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) =
% 31.60/5.13 | all_4_31 & op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 &
% 31.60/5.13 | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1) =
% 31.60/5.13 | all_4_33 & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148 &
% 31.60/5.13 | op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) =
% 31.60/5.13 | all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 &
% 31.60/5.13 | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) =
% 31.60/5.13 | all_4_37 & op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_154)) | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) =
% 31.60/5.13 | all_4_39 & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) & op(all_4_149, e1) =
% 31.60/5.13 | all_4_41 & op(e3, all_4_162) = all_4_40 & op(e3, e1) = all_4_149 &
% 31.60/5.13 | op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_162)) | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) =
% 31.60/5.13 | all_4_43 & op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 31.60/5.13 | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3) =
% 31.60/5.13 | all_4_45 & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150 &
% 31.60/5.13 | op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_157)) | ( ~ (all_4_46 = all_4_47) & op(all_4_150, e2) =
% 31.60/5.13 | all_4_47 & op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150 &
% 31.60/5.13 | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_158)) | ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) =
% 31.60/5.13 | all_4_49 & op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 &
% 31.60/5.13 | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) =
% 31.60/5.13 | all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 &
% 31.60/5.13 | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & op(all_4_151, e3) =
% 31.60/5.13 | all_4_53 & op(e3, e3) = all_4_160 & op(e2, all_4_160) = all_4_52 &
% 31.60/5.13 | op(e2, e3) = all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151)
% 31.60/5.13 | & $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) =
% 31.60/5.13 | all_4_55 & op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 &
% 31.60/5.13 | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) =
% 31.60/5.13 | all_4_57 & op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 &
% 31.60/5.13 | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) =
% 31.60/5.13 | all_4_59 & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 &
% 31.60/5.13 | op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3) =
% 31.60/5.13 | all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 &
% 31.60/5.13 | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) & $i(all_4_151)
% 31.60/5.13 | & $i(all_4_161)) | ( ~ (all_4_62 = all_4_63) & op(all_4_161, e2) =
% 31.60/5.13 | all_4_63 & op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 &
% 31.60/5.13 | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~ (all_4_64 =
% 31.60/5.13 | all_4_65) & op(all_4_161, e1) = all_4_65 & op(e2, all_4_152) =
% 31.60/5.13 | all_4_64 & op(e2, e2) = all_4_161 & op(e2, e1) = all_4_152 &
% 31.60/5.13 | $i(all_4_64) & $i(all_4_65) & $i(all_4_152) & $i(all_4_161)) | ( ~
% 31.60/5.13 | (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2,
% 31.60/5.13 | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) =
% 31.60/5.13 | all_4_153 & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) &
% 31.60/5.13 | $i(all_4_161)) | ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) =
% 31.60/5.13 | all_4_69 & op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) & $i(all_4_152)
% 31.60/5.13 | & $i(all_4_154)) | ( ~ (all_4_70 = all_4_71) & op(all_4_152, e2) =
% 31.60/5.13 | all_4_71 & op(e2, all_4_155) = all_4_70 & op(e2, e1) = all_4_152 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) & $i(all_4_152)
% 31.60/5.13 | & $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) =
% 31.60/5.13 | all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 &
% 31.60/5.13 | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) & $i(all_4_152)
% 31.60/5.13 | & $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0) =
% 31.60/5.13 | all_4_75 & op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 &
% 31.60/5.13 | op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) & $i(all_4_152)
% 31.60/5.13 | & $i(all_4_156)) | ( ~ (all_4_76 = all_4_77) & op(all_4_153, e3) =
% 31.60/5.13 | all_4_77 & op(e2, all_4_157) = all_4_76 & op(e2, e0) = all_4_153 &
% 31.60/5.13 | op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) & $i(all_4_153)
% 31.60/5.13 | & $i(all_4_157)) | ( ~ (all_4_78 = all_4_79) & op(all_4_153, e2) =
% 31.60/5.13 | all_4_79 & op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153 &
% 31.60/5.13 | op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153)
% 31.60/5.13 | & $i(all_4_158)) | ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) =
% 31.60/5.13 | all_4_81 & op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 &
% 31.60/5.13 | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & $i(all_4_153)
% 31.60/5.13 | & $i(all_4_159)) | ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) =
% 31.60/5.13 | all_4_83 & op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 &
% 31.60/5.13 | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & $i(all_4_153)
% 31.60/5.13 | & $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) =
% 31.60/5.13 | all_4_85 & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) & $i(all_4_154)
% 31.60/5.13 | & $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & op(all_4_154, e2) =
% 31.60/5.13 | all_4_87 & op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) & $i(all_4_148)
% 31.60/5.13 | & $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) =
% 31.60/5.13 | all_4_89 & op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89) & $i(all_4_149)
% 31.60/5.13 | & $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) =
% 31.60/5.13 | all_4_91 & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90 &
% 31.60/5.13 | op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) & $i(all_4_150)
% 31.60/5.13 | & $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) =
% 31.60/5.13 | all_4_93 & op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) & $i(all_4_151)
% 31.60/5.13 | & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) =
% 31.60/5.13 | all_4_95 & op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & $i(all_4_155)
% 31.60/5.13 | & $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) =
% 31.60/5.13 | all_4_97 & op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) & $i(all_4_152)
% 31.60/5.13 | & $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) =
% 31.60/5.13 | all_4_99 & op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) & $i(all_4_153)
% 31.60/5.13 | & $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) =
% 31.60/5.13 | all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3) = all_4_154 &
% 31.60/5.13 | op(e1, e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) &
% 31.60/5.13 | $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) &
% 31.60/5.13 | op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) = all_4_102 &
% 31.60/5.13 | op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) &
% 31.60/5.13 | $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | ( ~ (all_4_104 =
% 31.60/5.13 | all_4_105) & op(all_4_162, e1) = all_4_105 & op(e1, all_4_162) =
% 31.60/5.13 | all_4_104 & op(e1, e1) = all_4_162 & $i(all_4_104) & $i(all_4_105) &
% 31.60/5.13 | $i(all_4_162)) | ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) =
% 31.60/5.13 | all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 &
% 31.60/5.13 | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) &
% 31.60/5.13 | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = all_4_109) &
% 31.60/5.13 | op(all_4_156, e3) = all_4_109 & op(e0, e3) = all_4_157 & op(e1,
% 31.60/5.13 | all_4_157) = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) &
% 31.60/5.13 | $i(all_4_109) & $i(all_4_156) & $i(all_4_157)) | ( ~ (all_4_110 =
% 31.60/5.13 | all_4_111) & op(all_4_156, e2) = all_4_111 & op(e0, e2) =
% 31.60/5.13 | all_4_158 & op(e1, all_4_158) = all_4_110 & op(e1, e0) = all_4_156 &
% 31.60/5.13 | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) | ( ~
% 31.60/5.13 | (all_4_112 = all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1)
% 31.60/5.13 | = all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0) = all_4_156
% 31.60/5.13 | & $i(all_4_112) & $i(all_4_113) & $i(all_4_156) & $i(all_4_159)) | (
% 31.60/5.13 | ~ (all_4_114 = all_4_115) & op(all_4_156, e0) = all_4_115 & op(e0,
% 31.60/5.13 | e0) = all_4_163 & op(e1, all_4_163) = all_4_114 & op(e1, e0) =
% 31.60/5.13 | all_4_156 & $i(all_4_114) & $i(all_4_115) & $i(all_4_156) &
% 31.60/5.13 | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & op(all_4_157, e3) =
% 31.60/5.13 | all_4_117 & op(e3, e3) = all_4_160 & op(e0, all_4_160) = all_4_116 &
% 31.60/5.13 | op(e0, e3) = all_4_157 & $i(all_4_116) & $i(all_4_117) &
% 31.60/5.13 | $i(all_4_157) & $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) &
% 31.60/5.13 | op(all_4_157, e2) = all_4_119 & op(e3, e2) = all_4_148 & op(e0,
% 31.60/5.14 | all_4_148) = all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) &
% 31.60/5.14 | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 =
% 31.60/5.14 | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) =
% 31.60/5.14 | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) = all_4_157 &
% 31.60/5.14 | $i(all_4_120) & $i(all_4_121) & $i(all_4_149) & $i(all_4_157)) | ( ~
% 31.60/5.14 | (all_4_122 = all_4_123) & op(all_4_157, e0) = all_4_123 & op(e3, e0)
% 31.60/5.14 | = all_4_150 & op(e0, all_4_150) = all_4_122 & op(e0, e3) = all_4_157
% 31.60/5.14 | & $i(all_4_122) & $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | (
% 31.60/5.14 | ~ (all_4_124 = all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2,
% 31.60/5.14 | e3) = all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2) =
% 31.60/5.14 | all_4_158 & $i(all_4_124) & $i(all_4_125) & $i(all_4_151) &
% 31.60/5.14 | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158, e2) =
% 31.60/5.14 | all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161) = all_4_126 &
% 31.60/5.14 | op(e0, e2) = all_4_158 & $i(all_4_126) & $i(all_4_127) &
% 31.60/5.14 | $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) &
% 31.60/5.14 | op(all_4_158, e1) = all_4_129 & op(e2, e1) = all_4_152 & op(e0,
% 31.60/5.14 | all_4_152) = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) &
% 31.60/5.14 | $i(all_4_129) & $i(all_4_152) & $i(all_4_158)) | ( ~ (all_4_130 =
% 31.60/5.14 | all_4_131) & op(all_4_158, e0) = all_4_131 & op(e2, e0) =
% 31.60/5.14 | all_4_153 & op(e0, all_4_153) = all_4_130 & op(e0, e2) = all_4_158 &
% 31.60/5.14 | $i(all_4_130) & $i(all_4_131) & $i(all_4_153) & $i(all_4_158)) | ( ~
% 31.60/5.14 | (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0,
% 31.60/5.14 | all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & op(e1, e3) =
% 31.60/5.14 | all_4_154 & $i(all_4_132) & $i(all_4_133) & $i(all_4_154) &
% 31.60/5.14 | $i(all_4_159)) | ( ~ (all_4_134 = all_4_135) & op(all_4_159, e2) =
% 31.60/5.14 | all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0, e1) = all_4_159 &
% 31.60/5.14 | op(e1, e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) &
% 31.60/5.14 | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) &
% 31.60/5.14 | op(all_4_159, e1) = all_4_137 & op(e0, all_4_162) = all_4_136 &
% 31.60/5.14 | op(e0, e1) = all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) &
% 31.60/5.14 | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 =
% 31.60/5.14 | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0, all_4_156) =
% 31.60/5.14 | all_4_138 & op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 &
% 31.60/5.14 | $i(all_4_138) & $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | ( ~
% 31.60/5.14 | (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 & op(e0,
% 31.60/5.14 | all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0, e0) =
% 31.60/5.14 | all_4_163 & $i(all_4_140) & $i(all_4_141) & $i(all_4_157) &
% 31.60/5.14 | $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & op(all_4_163, e2) =
% 31.60/5.14 | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) = all_4_158 &
% 31.60/5.14 | op(e0, e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) &
% 31.60/5.14 | $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 = all_4_145) &
% 31.60/5.14 | op(all_4_163, e1) = all_4_145 & op(e0, all_4_159) = all_4_144 &
% 31.60/5.14 | op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) &
% 31.60/5.14 | $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 =
% 31.60/5.14 | all_4_147) & op(all_4_163, e0) = all_4_147 & op(e0, all_4_163) =
% 31.60/5.14 | all_4_146 & op(e0, e0) = all_4_163 & $i(all_4_146) & $i(all_4_147) &
% 31.60/5.14 | $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~
% 31.60/5.14 | (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 &
% 31.60/5.14 | $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~
% 31.60/5.14 | (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, e1) = all_4_149 &
% 31.60/5.14 | $i(all_4_149)) | ( ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~
% 31.60/5.14 | (all_4_150 = e0) & ~ (all_4_150 = e1) & op(e3, e0) = all_4_150 &
% 31.60/5.14 | $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~
% 31.60/5.14 | (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 &
% 31.60/5.14 | $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~
% 31.60/5.14 | (all_4_152 = e0) & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 &
% 31.60/5.14 | $i(all_4_152)) | ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~
% 31.60/5.14 | (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 &
% 31.60/5.14 | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & ~
% 31.60/5.14 | (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = all_4_154 &
% 31.60/5.14 | $i(all_4_154)) | ( ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~
% 31.60/5.14 | (all_4_155 = e0) & ~ (all_4_155 = e1) & op(e1, e2) = all_4_155 &
% 31.60/5.14 | $i(all_4_155)) | ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~
% 31.60/5.14 | (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 &
% 31.60/5.14 | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~
% 31.60/5.14 | (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) = all_4_157 &
% 31.60/5.14 | $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~
% 31.60/5.14 | (all_4_158 = e0) & ~ (all_4_158 = e1) & op(e0, e2) = all_4_158 &
% 31.60/5.14 | $i(all_4_158)) | ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~
% 31.60/5.14 | (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0, e1) = all_4_159 &
% 31.60/5.14 | $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~
% 31.60/5.14 | (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) = all_4_160 &
% 31.60/5.14 | $i(all_4_160)) | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~
% 31.60/5.14 | (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 &
% 31.60/5.14 | $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~
% 31.60/5.14 | (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) = all_4_162 &
% 31.60/5.14 | $i(all_4_162)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) &
% 31.60/5.14 | ~ (unit = e1)) | (op(e0, e0) = all_4_163 & $i(all_4_163) & (( ~
% 31.60/5.14 | (all_4_163 = e3) & ~ (all_4_163 = e2) & ~ (all_4_163 = e0) &
% 31.60/5.14 | ~ (all_4_163 = e1)) | (op(e3, e3) = all_4_160 & op(e2, e2) =
% 31.60/5.14 | all_4_161 & op(e1, e1) = all_4_162 & $i(all_4_160) &
% 31.60/5.14 | $i(all_4_161) & $i(all_4_162) & ((all_4_160 = e3 & all_4_161 =
% 31.60/5.14 | e3 & all_4_162 = e3 & all_4_163 = e3) | (all_4_160 = e2 &
% 31.60/5.14 | all_4_161 = e2 & all_4_162 = e2 & all_4_163 = e2) |
% 31.60/5.14 | (all_4_160 = e0 & all_4_161 = e0 & all_4_162 = e0 & all_4_163
% 31.60/5.14 | = e0) | (all_4_160 = e1 & all_4_161 = e1 & all_4_162 = e1 &
% 31.60/5.14 | all_4_163 = e1)))))
% 31.60/5.14 |
% 31.60/5.14 | BETA: splitting (28) gives:
% 31.60/5.14 |
% 31.60/5.14 | Case 1:
% 31.60/5.14 | |
% 31.79/5.15 | | (29) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = all_4_0
% 31.79/5.15 | | & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & inv(e3) =
% 31.79/5.15 | | all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2)) |
% 31.79/5.15 | | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~
% 31.79/5.15 | | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 =
% 31.79/5.15 | | unit) & inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 &
% 31.79/5.15 | | $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) =
% 31.79/5.15 | | all_4_5 & op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) |
% 31.79/5.15 | | ( ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~
% 31.79/5.15 | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 =
% 31.79/5.15 | | unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 &
% 31.79/5.15 | | $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) =
% 31.79/5.15 | | all_4_8 & op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) |
% 31.79/5.15 | | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~
% 31.79/5.15 | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 =
% 31.79/5.15 | | unit) & inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 &
% 31.79/5.15 | | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) =
% 31.79/5.15 | | all_4_11 & op(e0, all_4_11) = all_4_10 & $i(all_4_10) &
% 31.79/5.15 | | $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~
% 31.79/5.15 | | (all_4_11 = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 &
% 31.79/5.15 | | $i(all_4_11)) | ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 &
% 31.79/5.15 | | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 &
% 31.79/5.15 | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 &
% 31.79/5.15 | | $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 &
% 31.79/5.15 | | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 &
% 31.79/5.15 | | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 &
% 31.79/5.15 | | $i(all_4_17)) | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 &
% 31.79/5.15 | | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 &
% 31.79/5.15 | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) =
% 31.79/5.15 | | all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 &
% 31.79/5.15 | | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 =
% 31.79/5.15 | | all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) =
% 31.79/5.15 | | all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 &
% 31.79/5.15 | | $i(all_4_22) & $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~
% 31.79/5.15 | | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3,
% 31.79/5.15 | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) =
% 31.79/5.15 | | all_4_149 & $i(all_4_24) & $i(all_4_25) & $i(all_4_149) &
% 31.79/5.15 | | $i(all_4_160)) | ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) =
% 31.79/5.15 | | all_4_27 & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 &
% 31.79/5.15 | | op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) &
% 31.79/5.15 | | $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) &
% 31.79/5.15 | | op(all_4_148, e3) = all_4_29 & op(e3, all_4_151) = all_4_28 &
% 31.79/5.15 | | op(e3, e2) = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) &
% 31.79/5.15 | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_30 =
% 31.79/5.15 | | all_4_31) & op(all_4_148, e2) = all_4_31 & op(e3, all_4_161) =
% 31.79/5.15 | | all_4_30 & op(e3, e2) = all_4_148 & op(e2, e2) = all_4_161 &
% 31.79/5.15 | | $i(all_4_30) & $i(all_4_31) & $i(all_4_148) & $i(all_4_161)) | ( ~
% 31.79/5.15 | | (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33 & op(e3,
% 31.79/5.15 | | all_4_152) = all_4_32 & op(e3, e2) = all_4_148 & op(e2, e1) =
% 31.79/5.15 | | all_4_152 & $i(all_4_32) & $i(all_4_33) & $i(all_4_148) &
% 31.79/5.15 | | $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) =
% 31.79/5.15 | | all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 &
% 31.79/5.15 | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) &
% 31.79/5.15 | | $i(all_4_148) & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) &
% 31.79/5.15 | | op(all_4_149, e3) = all_4_37 & op(e3, all_4_154) = all_4_36 &
% 31.79/5.15 | | op(e3, e1) = all_4_149 & op(e1, e3) = all_4_154 & $i(all_4_36) &
% 31.79/5.15 | | $i(all_4_37) & $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 =
% 31.79/5.15 | | all_4_39) & op(all_4_149, e2) = all_4_39 & op(e3, all_4_155) =
% 31.79/5.15 | | all_4_38 & op(e3, e1) = all_4_149 & op(e1, e2) = all_4_155 &
% 31.79/5.15 | | $i(all_4_38) & $i(all_4_39) & $i(all_4_149) & $i(all_4_155)) | ( ~
% 31.79/5.15 | | (all_4_40 = all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3,
% 31.79/5.15 | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & op(e1, e1) =
% 31.79/5.15 | | all_4_162 & $i(all_4_40) & $i(all_4_41) & $i(all_4_149) &
% 31.79/5.15 | | $i(all_4_162)) | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) =
% 31.79/5.15 | | all_4_43 & op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 31.79/5.15 | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) &
% 31.79/5.15 | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) &
% 31.79/5.15 | | op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) = all_4_44 &
% 31.79/5.15 | | op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157 & $i(all_4_44) &
% 31.79/5.15 | | $i(all_4_45) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 =
% 31.79/5.15 | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, all_4_158) =
% 31.79/5.15 | | all_4_46 & op(e3, e0) = all_4_150 & op(e0, e2) = all_4_158 &
% 31.79/5.15 | | $i(all_4_46) & $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) | ( ~
% 31.79/5.15 | | (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & op(e3,
% 31.79/5.15 | | all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & op(e0, e1) =
% 31.79/5.15 | | all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150) &
% 31.79/5.15 | | $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) =
% 31.79/5.15 | | all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 &
% 31.79/5.15 | | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) &
% 31.79/5.15 | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) &
% 31.79/5.15 | | op(all_4_151, e3) = all_4_53 & op(e3, e3) = all_4_160 & op(e2,
% 31.79/5.15 | | all_4_160) = all_4_52 & op(e2, e3) = all_4_151 & $i(all_4_52) &
% 31.79/5.15 | | $i(all_4_53) & $i(all_4_151) & $i(all_4_160)) | ( ~ (all_4_54 =
% 31.79/5.15 | | all_4_55) & op(all_4_151, e2) = all_4_55 & op(e3, e2) =
% 31.79/5.15 | | all_4_148 & op(e2, all_4_148) = all_4_54 & op(e2, e3) = all_4_151
% 31.79/5.15 | | & $i(all_4_54) & $i(all_4_55) & $i(all_4_148) & $i(all_4_151)) | (
% 31.79/5.15 | | ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & op(e3,
% 31.79/5.15 | | e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & op(e2, e3) =
% 31.79/5.15 | | all_4_151 & $i(all_4_56) & $i(all_4_57) & $i(all_4_149) &
% 31.79/5.15 | | $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) =
% 31.79/5.15 | | all_4_59 & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 &
% 31.79/5.15 | | op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) &
% 31.79/5.15 | | $i(all_4_150) & $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) &
% 31.79/5.15 | | op(all_4_161, e3) = all_4_61 & op(e2, all_4_151) = all_4_60 &
% 31.79/5.15 | | op(e2, e3) = all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) &
% 31.79/5.15 | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 =
% 31.79/5.15 | | all_4_63) & op(all_4_161, e2) = all_4_63 & op(e2, all_4_161) =
% 31.79/5.15 | | all_4_62 & op(e2, e2) = all_4_161 & $i(all_4_62) & $i(all_4_63) &
% 31.79/5.15 | | $i(all_4_161)) | ( ~ (all_4_64 = all_4_65) & op(all_4_161, e1) =
% 31.79/5.15 | | all_4_65 & op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 &
% 31.79/5.15 | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) &
% 31.79/5.15 | | $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 = all_4_67) &
% 31.79/5.15 | | op(all_4_161, e0) = all_4_67 & op(e2, all_4_153) = all_4_66 &
% 31.79/5.15 | | op(e2, e2) = all_4_161 & op(e2, e0) = all_4_153 & $i(all_4_66) &
% 31.79/5.15 | | $i(all_4_67) & $i(all_4_153) & $i(all_4_161)) | ( ~ (all_4_68 =
% 31.79/5.15 | | all_4_69) & op(all_4_152, e3) = all_4_69 & op(e2, all_4_154) =
% 31.79/5.15 | | all_4_68 & op(e2, e1) = all_4_152 & op(e1, e3) = all_4_154 &
% 31.79/5.15 | | $i(all_4_68) & $i(all_4_69) & $i(all_4_152) & $i(all_4_154)) | ( ~
% 31.79/5.15 | | (all_4_70 = all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2,
% 31.79/5.15 | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) =
% 31.79/5.15 | | all_4_155 & $i(all_4_70) & $i(all_4_71) & $i(all_4_152) &
% 31.79/5.15 | | $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) =
% 31.79/5.15 | | all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 &
% 31.79/5.15 | | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) &
% 31.79/5.15 | | $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) &
% 31.79/5.15 | | op(all_4_152, e0) = all_4_75 & op(e2, all_4_156) = all_4_74 &
% 31.79/5.15 | | op(e2, e1) = all_4_152 & op(e1, e0) = all_4_156 & $i(all_4_74) &
% 31.79/5.15 | | $i(all_4_75) & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 =
% 31.79/5.15 | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, all_4_157) =
% 31.79/5.15 | | all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3) = all_4_157 &
% 31.79/5.15 | | $i(all_4_76) & $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) | ( ~
% 31.79/5.15 | | (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2,
% 31.79/5.15 | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, e2) =
% 31.79/5.15 | | all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) &
% 31.79/5.15 | | $i(all_4_158))
% 31.79/5.15 | |
% 31.79/5.15 | | BETA: splitting (29) gives:
% 31.79/5.15 | |
% 31.79/5.15 | | Case 1:
% 31.79/5.15 | | |
% 31.79/5.15 | | | (30) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) =
% 31.79/5.15 | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) &
% 31.79/5.15 | | | inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) &
% 31.79/5.15 | | | $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~
% 31.79/5.15 | | | (all_4_2 = e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 &
% 31.79/5.15 | | | $i(all_4_2)) | ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 &
% 31.79/5.15 | | | op(all_4_5, e2) = all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~
% 31.79/5.15 | | | (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5) = all_4_4
% 31.79/5.15 | | | & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~ (all_4_5
% 31.79/5.15 | | | = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) & inv(e2) =
% 31.79/5.15 | | | all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = unit) & inv(e1) =
% 31.79/5.15 | | | all_4_8 & op(all_4_8, e1) = all_4_6 & $i(all_4_6) & $i(all_4_8))
% 31.79/5.15 | | | | ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1, all_4_8) =
% 31.79/5.15 | | | all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~
% 31.79/5.15 | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) & inv(e1)
% 31.79/5.15 | | | = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = unit) & inv(e0) =
% 31.79/5.15 | | | all_4_11 & op(all_4_11, e0) = all_4_9 & $i(all_4_9) &
% 31.79/5.15 | | | $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) = all_4_11 &
% 31.79/5.15 | | | op(e0, all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11)) | ( ~
% 31.79/5.15 | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~
% 31.79/5.15 | | | (all_4_11 = e1) & inv(e0) = all_4_11 & $i(all_4_11)) | ( ~
% 31.79/5.15 | | | (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12)) | ( ~
% 31.79/5.15 | | | (all_4_13 = e3) & op(unit, e3) = all_4_13 & $i(all_4_13)) | ( ~
% 31.79/5.15 | | | (all_4_14 = e2) & op(e2, unit) = all_4_14 & $i(all_4_14)) | ( ~
% 31.79/5.15 | | | (all_4_15 = e2) & op(unit, e2) = all_4_15 & $i(all_4_15)) | ( ~
% 31.79/5.15 | | | (all_4_16 = e1) & op(e1, unit) = all_4_16 & $i(all_4_16)) | ( ~
% 31.79/5.15 | | | (all_4_17 = e1) & op(unit, e1) = all_4_17 & $i(all_4_17)) | ( ~
% 31.79/5.15 | | | (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18)) | ( ~
% 31.79/5.15 | | | (all_4_19 = e0) & op(unit, e0) = all_4_19 & $i(all_4_19)) | ( ~
% 31.79/5.15 | | | (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21 & op(e3,
% 31.79/5.15 | | | all_4_160) = all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20)
% 31.79/5.15 | | | & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 = all_4_23) &
% 31.79/5.15 | | | op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) = all_4_22 &
% 31.79/5.15 | | | op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 & $i(all_4_22) &
% 31.79/5.16 | | | $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 =
% 31.79/5.16 | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, all_4_149) =
% 31.79/5.16 | | | all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) = all_4_149 &
% 31.79/5.16 | | | $i(all_4_24) & $i(all_4_25) & $i(all_4_149) & $i(all_4_160)) | (
% 31.79/5.16 | | | ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3,
% 31.79/5.16 | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0) =
% 31.79/5.16 | | | all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) &
% 31.79/5.16 | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, e3) =
% 31.79/5.16 | | | all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148
% 31.79/5.16 | | | & op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) &
% 31.79/5.16 | | | $i(all_4_148) & $i(all_4_151))
% 31.79/5.16 | | |
% 31.79/5.16 | | | BETA: splitting (30) gives:
% 31.79/5.16 | | |
% 31.79/5.16 | | | Case 1:
% 31.79/5.16 | | | |
% 31.79/5.16 | | | | (31) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) =
% 31.79/5.16 | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) &
% 31.79/5.16 | | | | inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) &
% 31.79/5.16 | | | | $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~
% 31.79/5.16 | | | | (all_4_2 = e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 &
% 31.79/5.16 | | | | $i(all_4_2)) | ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 &
% 31.79/5.16 | | | | op(all_4_5, e2) = all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~
% 31.79/5.16 | | | | (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5) =
% 31.79/5.16 | | | | all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~
% 31.79/5.16 | | | | (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) &
% 31.79/5.16 | | | | inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = unit) &
% 31.79/5.16 | | | | inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 & $i(all_4_6) &
% 31.79/5.16 | | | | $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 &
% 31.79/5.16 | | | | op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~
% 31.79/5.16 | | | | (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~
% 31.79/5.16 | | | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~
% 31.79/5.16 | | | | (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11, e0) =
% 31.79/5.16 | | | | all_4_9 & $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit)
% 31.79/5.16 | | | | & inv(e0) = all_4_11 & op(e0, all_4_11) = all_4_10 &
% 31.79/5.16 | | | | $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~
% 31.79/5.16 | | | | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1) &
% 31.79/5.16 | | | | inv(e0) = all_4_11 & $i(all_4_11))
% 31.79/5.16 | | | |
% 31.79/5.16 | | | | BETA: splitting (31) gives:
% 31.79/5.16 | | | |
% 31.79/5.16 | | | | Case 1:
% 31.79/5.16 | | | | |
% 31.79/5.16 | | | | | (32) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) =
% 31.79/5.16 | | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit)
% 31.79/5.16 | | | | | & inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 &
% 31.79/5.16 | | | | | $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~
% 31.79/5.16 | | | | | (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ (all_4_2 = e1) &
% 31.79/5.16 | | | | | inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 = unit) &
% 31.79/5.16 | | | | | inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 & $i(all_4_3)
% 31.79/5.16 | | | | | & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) = all_4_5 &
% 31.79/5.16 | | | | | op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~
% 31.79/5.16 | | | | | (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~
% 31.79/5.16 | | | | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5))
% 31.79/5.16 | | | | |
% 31.79/5.16 | | | | | BETA: splitting (32) gives:
% 31.79/5.16 | | | | |
% 31.79/5.16 | | | | | Case 1:
% 31.79/5.16 | | | | | |
% 31.79/5.16 | | | | | | (33) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) =
% 31.79/5.16 | | | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 =
% 31.79/5.16 | | | | | | unit) & inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 &
% 31.79/5.16 | | | | | | $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~
% 31.79/5.16 | | | | | | (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ (all_4_2 = e1) &
% 31.79/5.16 | | | | | | inv(e3) = all_4_2 & $i(all_4_2))
% 31.79/5.16 | | | | | |
% 31.79/5.16 | | | | | | BETA: splitting (33) gives:
% 31.79/5.16 | | | | | |
% 31.79/5.16 | | | | | | Case 1:
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | (34) ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3)
% 31.79/5.16 | | | | | | | = all_4_0 & $i(all_4_0) & $i(all_4_2)
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | ALPHA: (34) implies:
% 31.79/5.16 | | | | | | | (35) ~ (all_4_0 = unit)
% 31.79/5.16 | | | | | | | (36) op(all_4_2, e3) = all_4_0
% 31.79/5.16 | | | | | | | (37) inv(e3) = all_4_2
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | REDUCE: (20), (35) imply:
% 31.79/5.16 | | | | | | | (38) ~ (all_4_0 = e0)
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | GROUND_INST: instantiating (26) with e3, all_4_2, e3, simplifying
% 31.79/5.16 | | | | | | | with (24), (37) gives:
% 31.79/5.16 | | | | | | | (39) all_4_2 = e3
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | REDUCE: (36), (39) imply:
% 31.79/5.16 | | | | | | | (40) op(e3, e3) = all_4_0
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_0, e3, e3,
% 31.79/5.16 | | | | | | | simplifying with (19), (40) gives:
% 31.79/5.16 | | | | | | | (41) all_4_0 = e0
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | REDUCE: (38), (41) imply:
% 31.79/5.16 | | | | | | | (42) $false
% 31.79/5.16 | | | | | | |
% 31.79/5.16 | | | | | | | CLOSE: (42) is inconsistent.
% 31.79/5.16 | | | | | | |
% 31.79/5.17 | | | | | | Case 2:
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | (43) ( ~ (all_4_1 = unit) & inv(e3) = all_4_2 & op(e3, all_4_2)
% 31.79/5.17 | | | | | | | = all_4_1 & $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 =
% 31.79/5.17 | | | | | | | e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~
% 31.79/5.17 | | | | | | | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2))
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | BETA: splitting (43) gives:
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | Case 1:
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | (44) ~ (all_4_1 = unit) & inv(e3) = all_4_2 & op(e3,
% 31.79/5.17 | | | | | | | | all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2)
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | ALPHA: (44) implies:
% 31.79/5.17 | | | | | | | | (45) ~ (all_4_1 = unit)
% 31.79/5.17 | | | | | | | | (46) op(e3, all_4_2) = all_4_1
% 31.79/5.17 | | | | | | | | (47) inv(e3) = all_4_2
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | REDUCE: (20), (45) imply:
% 31.79/5.17 | | | | | | | | (48) ~ (all_4_1 = e0)
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | GROUND_INST: instantiating (26) with e3, all_4_2, e3,
% 31.79/5.17 | | | | | | | | simplifying with (24), (47) gives:
% 31.79/5.17 | | | | | | | | (49) all_4_2 = e3
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | REDUCE: (46), (49) imply:
% 31.79/5.17 | | | | | | | | (50) op(e3, e3) = all_4_1
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_1, e3, e3,
% 31.79/5.17 | | | | | | | | simplifying with (19), (50) gives:
% 31.79/5.17 | | | | | | | | (51) all_4_1 = e0
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | REDUCE: (48), (51) imply:
% 31.79/5.17 | | | | | | | | (52) $false
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | CLOSE: (52) is inconsistent.
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | Case 2:
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | (53) ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 =
% 31.79/5.17 | | | | | | | | e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 &
% 31.79/5.17 | | | | | | | | $i(all_4_2)
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | ALPHA: (53) implies:
% 31.79/5.17 | | | | | | | | (54) ~ (all_4_2 = e3)
% 31.79/5.17 | | | | | | | | (55) inv(e3) = all_4_2
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | GROUND_INST: instantiating (26) with e3, all_4_2, e3,
% 31.79/5.17 | | | | | | | | simplifying with (24), (55) gives:
% 31.79/5.17 | | | | | | | | (56) all_4_2 = e3
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | REDUCE: (54), (56) imply:
% 31.79/5.17 | | | | | | | | (57) $false
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | CLOSE: (57) is inconsistent.
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | End of split
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | End of split
% 31.79/5.17 | | | | | |
% 31.79/5.17 | | | | | Case 2:
% 31.79/5.17 | | | | | |
% 31.79/5.17 | | | | | | (58) ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 & op(all_4_5, e2) =
% 31.79/5.17 | | | | | | all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 =
% 31.79/5.17 | | | | | | unit) & inv(e2) = all_4_5 & op(e2, all_4_5) = all_4_4 &
% 31.79/5.17 | | | | | | $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~
% 31.79/5.17 | | | | | | (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) &
% 31.79/5.17 | | | | | | inv(e2) = all_4_5 & $i(all_4_5))
% 31.79/5.17 | | | | | |
% 31.79/5.17 | | | | | | BETA: splitting (58) gives:
% 31.79/5.17 | | | | | |
% 31.79/5.17 | | | | | | Case 1:
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | (59) ~ (all_4_3 = unit) & inv(e2) = all_4_5 & op(all_4_5, e2)
% 31.79/5.17 | | | | | | | = all_4_3 & $i(all_4_3) & $i(all_4_5)
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | ALPHA: (59) implies:
% 31.79/5.17 | | | | | | | (60) ~ (all_4_3 = unit)
% 31.79/5.17 | | | | | | | (61) op(all_4_5, e2) = all_4_3
% 31.79/5.17 | | | | | | | (62) inv(e2) = all_4_5
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | REDUCE: (20), (60) imply:
% 31.79/5.17 | | | | | | | (63) ~ (all_4_3 = e0)
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | GROUND_INST: instantiating (26) with e1, all_4_5, e2, simplifying
% 31.79/5.17 | | | | | | | with (23), (62) gives:
% 31.79/5.17 | | | | | | | (64) all_4_5 = e1
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | REDUCE: (61), (64) imply:
% 31.79/5.17 | | | | | | | (65) op(e1, e2) = all_4_3
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_3, e2, e1,
% 31.79/5.17 | | | | | | | simplifying with (6), (65) gives:
% 31.79/5.17 | | | | | | | (66) all_4_3 = e0
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | REDUCE: (63), (66) imply:
% 31.79/5.17 | | | | | | | (67) $false
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | CLOSE: (67) is inconsistent.
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | Case 2:
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | (68) ( ~ (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5)
% 31.79/5.17 | | | | | | | = all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 =
% 31.79/5.17 | | | | | | | e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~
% 31.79/5.17 | | | | | | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5))
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | BETA: splitting (68) gives:
% 31.79/5.17 | | | | | | |
% 31.79/5.17 | | | | | | | Case 1:
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | (69) ~ (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2,
% 31.79/5.17 | | | | | | | | all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)
% 31.79/5.17 | | | | | | | |
% 31.79/5.17 | | | | | | | | ALPHA: (69) implies:
% 31.79/5.18 | | | | | | | | (70) ~ (all_4_4 = unit)
% 31.79/5.18 | | | | | | | | (71) op(e2, all_4_5) = all_4_4
% 31.79/5.18 | | | | | | | | (72) inv(e2) = all_4_5
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | REDUCE: (20), (70) imply:
% 31.79/5.18 | | | | | | | | (73) ~ (all_4_4 = e0)
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | GROUND_INST: instantiating (26) with e1, all_4_5, e2,
% 31.79/5.18 | | | | | | | | simplifying with (23), (72) gives:
% 31.79/5.18 | | | | | | | | (74) all_4_5 = e1
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | REDUCE: (71), (74) imply:
% 31.79/5.18 | | | | | | | | (75) op(e2, e1) = all_4_4
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_4, e1, e2,
% 31.79/5.18 | | | | | | | | simplifying with (12), (75) gives:
% 31.79/5.18 | | | | | | | | (76) all_4_4 = e0
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | REDUCE: (73), (76) imply:
% 31.79/5.18 | | | | | | | | (77) $false
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | CLOSE: (77) is inconsistent.
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | Case 2:
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | (78) ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 =
% 31.79/5.18 | | | | | | | | e0) & ~ (all_4_5 = e1) & inv(e2) = all_4_5 &
% 31.79/5.18 | | | | | | | | $i(all_4_5)
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | ALPHA: (78) implies:
% 31.79/5.18 | | | | | | | | (79) ~ (all_4_5 = e1)
% 31.79/5.18 | | | | | | | | (80) inv(e2) = all_4_5
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | GROUND_INST: instantiating (26) with e1, all_4_5, e2,
% 31.79/5.18 | | | | | | | | simplifying with (23), (80) gives:
% 31.79/5.18 | | | | | | | | (81) all_4_5 = e1
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | REDUCE: (79), (81) imply:
% 31.79/5.18 | | | | | | | | (82) $false
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | CLOSE: (82) is inconsistent.
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | End of split
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | End of split
% 31.79/5.18 | | | | | |
% 31.79/5.18 | | | | | End of split
% 31.79/5.18 | | | | |
% 31.79/5.18 | | | | Case 2:
% 31.79/5.18 | | | | |
% 31.79/5.18 | | | | | (83) ( ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1) =
% 31.79/5.18 | | | | | all_4_6 & $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit)
% 31.79/5.18 | | | | | & inv(e1) = all_4_8 & op(e1, all_4_8) = all_4_7 &
% 31.79/5.18 | | | | | $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~
% 31.79/5.18 | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) &
% 31.79/5.18 | | | | | inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = unit) &
% 31.79/5.18 | | | | | inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 &
% 31.79/5.18 | | | | | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) &
% 31.79/5.18 | | | | | inv(e0) = all_4_11 & op(e0, all_4_11) = all_4_10 &
% 31.79/5.18 | | | | | $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~
% 31.79/5.18 | | | | | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1) &
% 31.79/5.18 | | | | | inv(e0) = all_4_11 & $i(all_4_11))
% 31.79/5.18 | | | | |
% 31.79/5.18 | | | | | BETA: splitting (83) gives:
% 31.79/5.18 | | | | |
% 31.79/5.18 | | | | | Case 1:
% 31.79/5.18 | | | | | |
% 31.79/5.18 | | | | | | (84) ( ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1) =
% 31.79/5.18 | | | | | | all_4_6 & $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 =
% 31.79/5.18 | | | | | | unit) & inv(e1) = all_4_8 & op(e1, all_4_8) = all_4_7 &
% 31.79/5.18 | | | | | | $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~
% 31.79/5.18 | | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) &
% 31.79/5.18 | | | | | | inv(e1) = all_4_8 & $i(all_4_8))
% 31.79/5.18 | | | | | |
% 31.79/5.18 | | | | | | BETA: splitting (84) gives:
% 31.79/5.18 | | | | | |
% 31.79/5.18 | | | | | | Case 1:
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | (85) ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1)
% 31.79/5.18 | | | | | | | = all_4_6 & $i(all_4_6) & $i(all_4_8)
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | ALPHA: (85) implies:
% 31.79/5.18 | | | | | | | (86) ~ (all_4_6 = unit)
% 31.79/5.18 | | | | | | | (87) op(all_4_8, e1) = all_4_6
% 31.79/5.18 | | | | | | | (88) inv(e1) = all_4_8
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | REDUCE: (20), (86) imply:
% 31.79/5.18 | | | | | | | (89) ~ (all_4_6 = e0)
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | GROUND_INST: instantiating (26) with e2, all_4_8, e1, simplifying
% 31.79/5.18 | | | | | | | with (21), (88) gives:
% 31.79/5.18 | | | | | | | (90) all_4_8 = e2
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | REDUCE: (87), (90) imply:
% 31.79/5.18 | | | | | | | (91) op(e2, e1) = all_4_6
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_6, e1, e2,
% 31.79/5.18 | | | | | | | simplifying with (12), (91) gives:
% 31.79/5.18 | | | | | | | (92) all_4_6 = e0
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | REDUCE: (89), (92) imply:
% 31.79/5.18 | | | | | | | (93) $false
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | CLOSE: (93) is inconsistent.
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | Case 2:
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | (94) ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1, all_4_8)
% 31.79/5.18 | | | | | | | = all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 =
% 31.79/5.18 | | | | | | | e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~
% 31.79/5.18 | | | | | | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8))
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | BETA: splitting (94) gives:
% 31.79/5.18 | | | | | | |
% 31.79/5.18 | | | | | | | Case 1:
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | (95) ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1,
% 31.79/5.18 | | | | | | | | all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)
% 31.79/5.18 | | | | | | | |
% 31.79/5.18 | | | | | | | | ALPHA: (95) implies:
% 31.79/5.18 | | | | | | | | (96) ~ (all_4_7 = unit)
% 31.79/5.18 | | | | | | | | (97) op(e1, all_4_8) = all_4_7
% 31.79/5.18 | | | | | | | | (98) inv(e1) = all_4_8
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (20), (96) imply:
% 31.79/5.19 | | | | | | | | (99) ~ (all_4_7 = e0)
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | GROUND_INST: instantiating (26) with e2, all_4_8, e1,
% 31.79/5.19 | | | | | | | | simplifying with (21), (98) gives:
% 31.79/5.19 | | | | | | | | (100) all_4_8 = e2
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (97), (100) imply:
% 31.79/5.19 | | | | | | | | (101) op(e1, e2) = all_4_7
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_7, e2, e1,
% 31.79/5.19 | | | | | | | | simplifying with (6), (101) gives:
% 31.79/5.19 | | | | | | | | (102) all_4_7 = e0
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (99), (102) imply:
% 31.79/5.19 | | | | | | | | (103) $false
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | CLOSE: (103) is inconsistent.
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | Case 2:
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | (104) ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 =
% 31.79/5.19 | | | | | | | | e0) & ~ (all_4_8 = e1) & inv(e1) = all_4_8 &
% 31.79/5.19 | | | | | | | | $i(all_4_8)
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | ALPHA: (104) implies:
% 31.79/5.19 | | | | | | | | (105) ~ (all_4_8 = e2)
% 31.79/5.19 | | | | | | | | (106) inv(e1) = all_4_8
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | GROUND_INST: instantiating (26) with e2, all_4_8, e1,
% 31.79/5.19 | | | | | | | | simplifying with (21), (106) gives:
% 31.79/5.19 | | | | | | | | (107) all_4_8 = e2
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (105), (107) imply:
% 31.79/5.19 | | | | | | | | (108) $false
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | CLOSE: (108) is inconsistent.
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | End of split
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | End of split
% 31.79/5.19 | | | | | |
% 31.79/5.19 | | | | | Case 2:
% 31.79/5.19 | | | | | |
% 31.79/5.19 | | | | | | (109) ( ~ (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11,
% 31.79/5.19 | | | | | | e0) = all_4_9 & $i(all_4_9) & $i(all_4_11)) | ( ~
% 31.79/5.19 | | | | | | (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0, all_4_11)
% 31.79/5.19 | | | | | | = all_4_10 & $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11
% 31.79/5.19 | | | | | | = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~
% 31.79/5.19 | | | | | | (all_4_11 = e1) & inv(e0) = all_4_11 & $i(all_4_11))
% 31.79/5.19 | | | | | |
% 31.79/5.19 | | | | | | BETA: splitting (109) gives:
% 31.79/5.19 | | | | | |
% 31.79/5.19 | | | | | | Case 1:
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | (110) ~ (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11,
% 31.79/5.19 | | | | | | | e0) = all_4_9 & $i(all_4_9) & $i(all_4_11)
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | ALPHA: (110) implies:
% 31.79/5.19 | | | | | | | (111) ~ (all_4_9 = unit)
% 31.79/5.19 | | | | | | | (112) op(all_4_11, e0) = all_4_9
% 31.79/5.19 | | | | | | | (113) inv(e0) = all_4_11
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | REDUCE: (20), (111) imply:
% 31.79/5.19 | | | | | | | (114) ~ (all_4_9 = e0)
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | GROUND_INST: instantiating (26) with e0, all_4_11, e0, simplifying
% 31.79/5.19 | | | | | | | with (22), (113) gives:
% 31.79/5.19 | | | | | | | (115) all_4_11 = e0
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | REDUCE: (112), (115) imply:
% 31.79/5.19 | | | | | | | (116) op(e0, e0) = all_4_9
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_9, e0, e0,
% 31.79/5.19 | | | | | | | simplifying with (9), (116) gives:
% 31.79/5.19 | | | | | | | (117) all_4_9 = e0
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | REDUCE: (114), (117) imply:
% 31.79/5.19 | | | | | | | (118) $false
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | CLOSE: (118) is inconsistent.
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | Case 2:
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | (119) ( ~ (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0,
% 31.79/5.19 | | | | | | | all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11)) |
% 31.79/5.19 | | | | | | | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 =
% 31.79/5.19 | | | | | | | e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 &
% 31.79/5.19 | | | | | | | $i(all_4_11))
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | BETA: splitting (119) gives:
% 31.79/5.19 | | | | | | |
% 31.79/5.19 | | | | | | | Case 1:
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | (120) ~ (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0,
% 31.79/5.19 | | | | | | | | all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11)
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | ALPHA: (120) implies:
% 31.79/5.19 | | | | | | | | (121) ~ (all_4_10 = unit)
% 31.79/5.19 | | | | | | | | (122) op(e0, all_4_11) = all_4_10
% 31.79/5.19 | | | | | | | | (123) inv(e0) = all_4_11
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (20), (121) imply:
% 31.79/5.19 | | | | | | | | (124) ~ (all_4_10 = e0)
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | GROUND_INST: instantiating (26) with e0, all_4_11, e0,
% 31.79/5.19 | | | | | | | | simplifying with (22), (123) gives:
% 31.79/5.19 | | | | | | | | (125) all_4_11 = e0
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (122), (125) imply:
% 31.79/5.19 | | | | | | | | (126) op(e0, e0) = all_4_10
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_10, e0, e0,
% 31.79/5.19 | | | | | | | | simplifying with (9), (126) gives:
% 31.79/5.19 | | | | | | | | (127) all_4_10 = e0
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | REDUCE: (124), (127) imply:
% 31.79/5.19 | | | | | | | | (128) $false
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | CLOSE: (128) is inconsistent.
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | Case 2:
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | (129) ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11
% 31.79/5.19 | | | | | | | | = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 &
% 31.79/5.19 | | | | | | | | $i(all_4_11)
% 31.79/5.19 | | | | | | | |
% 31.79/5.19 | | | | | | | | ALPHA: (129) implies:
% 31.79/5.19 | | | | | | | | (130) ~ (all_4_11 = e0)
% 31.79/5.19 | | | | | | | | (131) inv(e0) = all_4_11
% 31.79/5.19 | | | | | | | |
% 31.79/5.20 | | | | | | | | GROUND_INST: instantiating (26) with e0, all_4_11, e0,
% 31.79/5.20 | | | | | | | | simplifying with (22), (131) gives:
% 31.79/5.20 | | | | | | | | (132) all_4_11 = e0
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | REDUCE: (130), (132) imply:
% 31.79/5.20 | | | | | | | | (133) $false
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | CLOSE: (133) is inconsistent.
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | End of split
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | End of split
% 31.79/5.20 | | | | | |
% 31.79/5.20 | | | | | End of split
% 31.79/5.20 | | | | |
% 31.79/5.20 | | | | End of split
% 31.79/5.20 | | | |
% 31.79/5.20 | | | Case 2:
% 31.79/5.20 | | | |
% 31.79/5.20 | | | | (134) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12)) |
% 31.79/5.20 | | | | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & $i(all_4_13)) |
% 31.79/5.20 | | | | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 & $i(all_4_14)) |
% 31.79/5.20 | | | | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & $i(all_4_15)) |
% 31.79/5.20 | | | | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & $i(all_4_16)) |
% 31.79/5.20 | | | | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 & $i(all_4_17)) |
% 31.79/5.20 | | | | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18)) |
% 31.79/5.20 | | | | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & $i(all_4_19)) |
% 31.79/5.20 | | | | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21 &
% 31.79/5.20 | | | | op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 &
% 31.79/5.20 | | | | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22
% 31.79/5.20 | | | | = all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3,
% 31.79/5.20 | | | | all_4_148) = all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2)
% 31.79/5.20 | | | | = all_4_148 & $i(all_4_22) & $i(all_4_23) & $i(all_4_148) &
% 31.79/5.20 | | | | $i(all_4_160)) | ( ~ (all_4_24 = all_4_25) & op(all_4_160,
% 31.79/5.20 | | | | e1) = all_4_25 & op(e3, all_4_149) = all_4_24 & op(e3, e3)
% 31.79/5.20 | | | | = all_4_160 & op(e3, e1) = all_4_149 & $i(all_4_24) &
% 31.79/5.20 | | | | $i(all_4_25) & $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26
% 31.79/5.20 | | | | = all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3,
% 31.79/5.20 | | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0)
% 31.79/5.20 | | | | = all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) &
% 31.79/5.20 | | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148,
% 31.79/5.20 | | | | e3) = all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2)
% 31.79/5.20 | | | | = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) &
% 31.79/5.20 | | | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151))
% 31.79/5.20 | | | |
% 31.79/5.20 | | | | BETA: splitting (134) gives:
% 31.79/5.20 | | | |
% 31.79/5.20 | | | | Case 1:
% 31.79/5.20 | | | | |
% 31.79/5.20 | | | | | (135) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12))
% 31.79/5.20 | | | | | | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 &
% 31.79/5.20 | | | | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) =
% 31.79/5.20 | | | | | all_4_14 & $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit,
% 31.79/5.20 | | | | | e2) = all_4_15 & $i(all_4_15)) | ( ~ (all_4_16 = e1) &
% 31.79/5.20 | | | | | op(e1, unit) = all_4_16 & $i(all_4_16)) | ( ~ (all_4_17 =
% 31.79/5.20 | | | | | e1) & op(unit, e1) = all_4_17 & $i(all_4_17))
% 31.79/5.20 | | | | |
% 31.79/5.20 | | | | | BETA: splitting (135) gives:
% 31.79/5.20 | | | | |
% 31.79/5.20 | | | | | Case 1:
% 31.79/5.20 | | | | | |
% 31.79/5.20 | | | | | | (136) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 &
% 31.79/5.20 | | | | | | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) =
% 31.79/5.20 | | | | | | all_4_13 & $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2,
% 31.79/5.20 | | | | | | unit) = all_4_14 & $i(all_4_14))
% 31.79/5.20 | | | | | |
% 31.79/5.20 | | | | | | BETA: splitting (136) gives:
% 31.79/5.20 | | | | | |
% 31.79/5.20 | | | | | | Case 1:
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | (137) ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 &
% 31.79/5.20 | | | | | | | $i(all_4_12)
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | ALPHA: (137) implies:
% 31.79/5.20 | | | | | | | (138) ~ (all_4_12 = e3)
% 31.79/5.20 | | | | | | | (139) op(e3, unit) = all_4_12
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | REDUCE: (20), (139) imply:
% 31.79/5.20 | | | | | | | (140) op(e3, e0) = all_4_12
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_12, e0, e3,
% 31.79/5.20 | | | | | | | simplifying with (17), (140) gives:
% 31.79/5.20 | | | | | | | (141) all_4_12 = e3
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | REDUCE: (138), (141) imply:
% 31.79/5.20 | | | | | | | (142) $false
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | CLOSE: (142) is inconsistent.
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | Case 2:
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | (143) ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 &
% 31.79/5.20 | | | | | | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) =
% 31.79/5.20 | | | | | | | all_4_14 & $i(all_4_14))
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | BETA: splitting (143) gives:
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | | Case 1:
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | (144) ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 &
% 31.79/5.20 | | | | | | | | $i(all_4_13)
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | ALPHA: (144) implies:
% 31.79/5.20 | | | | | | | | (145) ~ (all_4_13 = e3)
% 31.79/5.20 | | | | | | | | (146) op(unit, e3) = all_4_13
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | REDUCE: (20), (146) imply:
% 31.79/5.20 | | | | | | | | (147) op(e0, e3) = all_4_13
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_13, e3, e0,
% 31.79/5.20 | | | | | | | | simplifying with (11), (147) gives:
% 31.79/5.20 | | | | | | | | (148) all_4_13 = e3
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | REDUCE: (145), (148) imply:
% 31.79/5.20 | | | | | | | | (149) $false
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | CLOSE: (149) is inconsistent.
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | Case 2:
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | (150) ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 &
% 31.79/5.20 | | | | | | | | $i(all_4_14)
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | ALPHA: (150) implies:
% 31.79/5.20 | | | | | | | | (151) ~ (all_4_14 = e2)
% 31.79/5.20 | | | | | | | | (152) op(e2, unit) = all_4_14
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | REDUCE: (20), (152) imply:
% 31.79/5.20 | | | | | | | | (153) op(e2, e0) = all_4_14
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_14, e0, e2,
% 31.79/5.20 | | | | | | | | simplifying with (13), (153) gives:
% 31.79/5.20 | | | | | | | | (154) all_4_14 = e2
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | REDUCE: (151), (154) imply:
% 31.79/5.20 | | | | | | | | (155) $false
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | | CLOSE: (155) is inconsistent.
% 31.79/5.20 | | | | | | | |
% 31.79/5.20 | | | | | | | End of split
% 31.79/5.20 | | | | | | |
% 31.79/5.20 | | | | | | End of split
% 31.79/5.20 | | | | | |
% 31.79/5.20 | | | | | Case 2:
% 31.79/5.20 | | | | | |
% 31.79/5.21 | | | | | | (156) ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 &
% 31.79/5.21 | | | | | | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) =
% 31.79/5.21 | | | | | | all_4_16 & $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit,
% 31.79/5.21 | | | | | | e1) = all_4_17 & $i(all_4_17))
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | | BETA: splitting (156) gives:
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | | Case 1:
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | (157) ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 &
% 31.79/5.21 | | | | | | | $i(all_4_15)
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | ALPHA: (157) implies:
% 31.79/5.21 | | | | | | | (158) ~ (all_4_15 = e2)
% 31.79/5.21 | | | | | | | (159) op(unit, e2) = all_4_15
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | REDUCE: (20), (159) imply:
% 31.79/5.21 | | | | | | | (160) op(e0, e2) = all_4_15
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_15, e2, e0,
% 31.79/5.21 | | | | | | | simplifying with (10), (160) gives:
% 31.79/5.21 | | | | | | | (161) all_4_15 = e2
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | REDUCE: (158), (161) imply:
% 31.79/5.21 | | | | | | | (162) $false
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | CLOSE: (162) is inconsistent.
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | Case 2:
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | (163) ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 &
% 31.79/5.21 | | | | | | | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) =
% 31.79/5.21 | | | | | | | all_4_17 & $i(all_4_17))
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | BETA: splitting (163) gives:
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | Case 1:
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | (164) ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 &
% 31.79/5.21 | | | | | | | | $i(all_4_16)
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | ALPHA: (164) implies:
% 31.79/5.21 | | | | | | | | (165) ~ (all_4_16 = e1)
% 31.79/5.21 | | | | | | | | (166) op(e1, unit) = all_4_16
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | REDUCE: (20), (166) imply:
% 31.79/5.21 | | | | | | | | (167) op(e1, e0) = all_4_16
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_16, e0, e1,
% 31.79/5.21 | | | | | | | | simplifying with (5), (167) gives:
% 31.79/5.21 | | | | | | | | (168) all_4_16 = e1
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | REDUCE: (165), (168) imply:
% 31.79/5.21 | | | | | | | | (169) $false
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | CLOSE: (169) is inconsistent.
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | Case 2:
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | (170) ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 &
% 31.79/5.21 | | | | | | | | $i(all_4_17)
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | ALPHA: (170) implies:
% 31.79/5.21 | | | | | | | | (171) ~ (all_4_17 = e1)
% 31.79/5.21 | | | | | | | | (172) op(unit, e1) = all_4_17
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | REDUCE: (20), (172) imply:
% 31.79/5.21 | | | | | | | | (173) op(e0, e1) = all_4_17
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_17, e1, e0,
% 31.79/5.21 | | | | | | | | simplifying with (8), (173) gives:
% 31.79/5.21 | | | | | | | | (174) all_4_17 = e1
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | REDUCE: (171), (174) imply:
% 31.79/5.21 | | | | | | | | (175) $false
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | | CLOSE: (175) is inconsistent.
% 31.79/5.21 | | | | | | | |
% 31.79/5.21 | | | | | | | End of split
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | End of split
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | End of split
% 31.79/5.21 | | | | |
% 31.79/5.21 | | | | Case 2:
% 31.79/5.21 | | | | |
% 31.79/5.21 | | | | | (176) ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18))
% 31.79/5.21 | | | | | | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 &
% 31.79/5.21 | | | | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160,
% 31.79/5.21 | | | | | e3) = all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3,
% 31.79/5.21 | | | | | e3) = all_4_160 & $i(all_4_20) & $i(all_4_21) &
% 31.79/5.21 | | | | | $i(all_4_160)) | ( ~ (all_4_22 = all_4_23) & op(all_4_160,
% 31.79/5.21 | | | | | e2) = all_4_23 & op(e3, all_4_148) = all_4_22 & op(e3,
% 31.79/5.21 | | | | | e3) = all_4_160 & op(e3, e2) = all_4_148 & $i(all_4_22) &
% 31.79/5.21 | | | | | $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~
% 31.79/5.21 | | | | | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 &
% 31.79/5.21 | | | | | op(e3, all_4_149) = all_4_24 & op(e3, e3) = all_4_160 &
% 31.79/5.21 | | | | | op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) &
% 31.79/5.21 | | | | | $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26 = all_4_27)
% 31.79/5.21 | | | | | & op(all_4_160, e0) = all_4_27 & op(e3, all_4_150) =
% 31.79/5.21 | | | | | all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0) = all_4_150
% 31.79/5.21 | | | | | & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) &
% 31.79/5.21 | | | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148,
% 31.79/5.21 | | | | | e3) = all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3,
% 31.79/5.21 | | | | | e2) = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) &
% 31.79/5.21 | | | | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151))
% 31.79/5.21 | | | | |
% 31.79/5.21 | | | | | BETA: splitting (176) gives:
% 31.79/5.21 | | | | |
% 31.79/5.21 | | | | | Case 1:
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | | (177) ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 &
% 31.79/5.21 | | | | | | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) =
% 31.79/5.21 | | | | | | all_4_19 & $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) &
% 31.79/5.21 | | | | | | op(all_4_160, e3) = all_4_21 & op(e3, all_4_160) =
% 31.79/5.21 | | | | | | all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20) &
% 31.79/5.21 | | | | | | $i(all_4_21) & $i(all_4_160))
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | | BETA: splitting (177) gives:
% 31.79/5.21 | | | | | |
% 31.79/5.21 | | | | | | Case 1:
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | (178) ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 &
% 31.79/5.21 | | | | | | | $i(all_4_18)
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | ALPHA: (178) implies:
% 31.79/5.21 | | | | | | | (179) ~ (all_4_18 = e0)
% 31.79/5.21 | | | | | | | (180) op(e0, unit) = all_4_18
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | REDUCE: (20), (180) imply:
% 31.79/5.21 | | | | | | | (181) op(e0, e0) = all_4_18
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_18, e0, e0,
% 31.79/5.21 | | | | | | | simplifying with (9), (181) gives:
% 31.79/5.21 | | | | | | | (182) all_4_18 = e0
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | REDUCE: (179), (182) imply:
% 31.79/5.21 | | | | | | | (183) $false
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | | CLOSE: (183) is inconsistent.
% 31.79/5.21 | | | | | | |
% 31.79/5.21 | | | | | | Case 2:
% 31.79/5.21 | | | | | | |
% 31.79/5.22 | | | | | | | (184) ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 &
% 31.79/5.22 | | | | | | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) &
% 31.79/5.22 | | | | | | | op(all_4_160, e3) = all_4_21 & op(e3, all_4_160) =
% 31.79/5.22 | | | | | | | all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20) &
% 31.79/5.22 | | | | | | | $i(all_4_21) & $i(all_4_160))
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | | BETA: splitting (184) gives:
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | | Case 1:
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | (185) ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 &
% 31.79/5.22 | | | | | | | | $i(all_4_19)
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | ALPHA: (185) implies:
% 31.79/5.22 | | | | | | | | (186) ~ (all_4_19 = e0)
% 31.79/5.22 | | | | | | | | (187) op(unit, e0) = all_4_19
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (20), (187) imply:
% 31.79/5.22 | | | | | | | | (188) op(e0, e0) = all_4_19
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_19, e0, e0,
% 31.79/5.22 | | | | | | | | simplifying with (9), (188) gives:
% 31.79/5.22 | | | | | | | | (189) all_4_19 = e0
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (186), (189) imply:
% 31.79/5.22 | | | | | | | | (190) $false
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | CLOSE: (190) is inconsistent.
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | Case 2:
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | (191) ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21
% 31.79/5.22 | | | | | | | | & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160
% 31.79/5.22 | | | | | | | | & $i(all_4_20) & $i(all_4_21) & $i(all_4_160)
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | ALPHA: (191) implies:
% 31.79/5.22 | | | | | | | | (192) ~ (all_4_20 = all_4_21)
% 31.79/5.22 | | | | | | | | (193) op(e3, e3) = all_4_160
% 31.79/5.22 | | | | | | | | (194) op(e3, all_4_160) = all_4_20
% 31.79/5.22 | | | | | | | | (195) op(all_4_160, e3) = all_4_21
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 31.79/5.22 | | | | | | | | simplifying with (19), (193) gives:
% 31.79/5.22 | | | | | | | | (196) all_4_160 = e0
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (195), (196) imply:
% 31.79/5.22 | | | | | | | | (197) op(e0, e3) = all_4_21
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (194), (196) imply:
% 31.79/5.22 | | | | | | | | (198) op(e3, e0) = all_4_20
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_21, e3, e0,
% 31.79/5.22 | | | | | | | | simplifying with (11), (197) gives:
% 31.79/5.22 | | | | | | | | (199) all_4_21 = e3
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_20, e0, e3,
% 31.79/5.22 | | | | | | | | simplifying with (17), (198) gives:
% 31.79/5.22 | | | | | | | | (200) all_4_20 = e3
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (192), (199), (200) imply:
% 31.79/5.22 | | | | | | | | (201) $false
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | CLOSE: (201) is inconsistent.
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | End of split
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | End of split
% 31.79/5.22 | | | | | |
% 31.79/5.22 | | | | | Case 2:
% 31.79/5.22 | | | | | |
% 31.79/5.22 | | | | | | (202) ( ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23 &
% 31.79/5.22 | | | | | | op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160 &
% 31.79/5.22 | | | | | | op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23) &
% 31.79/5.22 | | | | | | $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 =
% 31.79/5.22 | | | | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3,
% 31.79/5.22 | | | | | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3,
% 31.79/5.22 | | | | | | e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) &
% 31.79/5.22 | | | | | | $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26 =
% 31.79/5.22 | | | | | | all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3,
% 31.79/5.22 | | | | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3,
% 31.79/5.22 | | | | | | e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) &
% 31.79/5.22 | | | | | | $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 =
% 31.79/5.22 | | | | | | all_4_29) & op(all_4_148, e3) = all_4_29 & op(e3,
% 31.79/5.22 | | | | | | all_4_151) = all_4_28 & op(e3, e2) = all_4_148 & op(e2,
% 31.79/5.22 | | | | | | e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) &
% 31.79/5.22 | | | | | | $i(all_4_148) & $i(all_4_151))
% 31.79/5.22 | | | | | |
% 31.79/5.22 | | | | | | BETA: splitting (202) gives:
% 31.79/5.22 | | | | | |
% 31.79/5.22 | | | | | | Case 1:
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | | (203) ( ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23
% 31.79/5.22 | | | | | | | & op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160
% 31.79/5.22 | | | | | | | & op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23)
% 31.79/5.22 | | | | | | | & $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 =
% 31.79/5.22 | | | | | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3,
% 31.79/5.22 | | | | | | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 &
% 31.79/5.22 | | | | | | | op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) &
% 31.79/5.22 | | | | | | | $i(all_4_149) & $i(all_4_160))
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | | BETA: splitting (203) gives:
% 31.79/5.22 | | | | | | |
% 31.79/5.22 | | | | | | | Case 1:
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | (204) ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23
% 31.79/5.22 | | | | | | | | & op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160
% 31.79/5.22 | | | | | | | | & op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23)
% 31.79/5.22 | | | | | | | | & $i(all_4_148) & $i(all_4_160)
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | ALPHA: (204) implies:
% 31.79/5.22 | | | | | | | | (205) ~ (all_4_22 = all_4_23)
% 31.79/5.22 | | | | | | | | (206) op(e3, e2) = all_4_148
% 31.79/5.22 | | | | | | | | (207) op(e3, e3) = all_4_160
% 31.79/5.22 | | | | | | | | (208) op(e3, all_4_148) = all_4_22
% 31.79/5.22 | | | | | | | | (209) op(all_4_160, e2) = all_4_23
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 31.79/5.22 | | | | | | | | simplifying with (18), (206) gives:
% 31.79/5.22 | | | | | | | | (210) all_4_148 = e1
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 31.79/5.22 | | | | | | | | simplifying with (19), (207) gives:
% 31.79/5.22 | | | | | | | | (211) all_4_160 = e0
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (209), (211) imply:
% 31.79/5.22 | | | | | | | | (212) op(e0, e2) = all_4_23
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | REDUCE: (208), (210) imply:
% 31.79/5.22 | | | | | | | | (213) op(e3, e1) = all_4_22
% 31.79/5.22 | | | | | | | |
% 31.79/5.22 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_23, e2, e0,
% 31.79/5.22 | | | | | | | | simplifying with (10), (212) gives:
% 31.79/5.23 | | | | | | | | (214) all_4_23 = e2
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_22, e1, e3,
% 31.79/5.23 | | | | | | | | simplifying with (16), (213) gives:
% 31.79/5.23 | | | | | | | | (215) all_4_22 = e2
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (205), (214), (215) imply:
% 31.79/5.23 | | | | | | | | (216) $false
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | CLOSE: (216) is inconsistent.
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | Case 2:
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | (217) ~ (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25
% 31.79/5.23 | | | | | | | | & op(e3, all_4_149) = all_4_24 & op(e3, e3) = all_4_160
% 31.79/5.23 | | | | | | | | & op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25)
% 31.79/5.23 | | | | | | | | & $i(all_4_149) & $i(all_4_160)
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | ALPHA: (217) implies:
% 31.79/5.23 | | | | | | | | (218) ~ (all_4_24 = all_4_25)
% 31.79/5.23 | | | | | | | | (219) op(e3, e1) = all_4_149
% 31.79/5.23 | | | | | | | | (220) op(e3, e3) = all_4_160
% 31.79/5.23 | | | | | | | | (221) op(e3, all_4_149) = all_4_24
% 31.79/5.23 | | | | | | | | (222) op(all_4_160, e1) = all_4_25
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 31.79/5.23 | | | | | | | | simplifying with (16), (219) gives:
% 31.79/5.23 | | | | | | | | (223) all_4_149 = e2
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 31.79/5.23 | | | | | | | | simplifying with (19), (220) gives:
% 31.79/5.23 | | | | | | | | (224) all_4_160 = e0
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (222), (224) imply:
% 31.79/5.23 | | | | | | | | (225) op(e0, e1) = all_4_25
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (221), (223) imply:
% 31.79/5.23 | | | | | | | | (226) op(e3, e2) = all_4_24
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_25, e1, e0,
% 31.79/5.23 | | | | | | | | simplifying with (8), (225) gives:
% 31.79/5.23 | | | | | | | | (227) all_4_25 = e1
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_24, e2, e3,
% 31.79/5.23 | | | | | | | | simplifying with (18), (226) gives:
% 31.79/5.23 | | | | | | | | (228) all_4_24 = e1
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (218), (227), (228) imply:
% 31.79/5.23 | | | | | | | | (229) $false
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | CLOSE: (229) is inconsistent.
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | End of split
% 31.79/5.23 | | | | | | |
% 31.79/5.23 | | | | | | Case 2:
% 31.79/5.23 | | | | | | |
% 31.79/5.23 | | | | | | | (230) ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27
% 31.79/5.23 | | | | | | | & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160
% 31.79/5.23 | | | | | | | & op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27)
% 31.79/5.23 | | | | | | | & $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 =
% 31.79/5.23 | | | | | | | all_4_29) & op(all_4_148, e3) = all_4_29 & op(e3,
% 31.79/5.23 | | | | | | | all_4_151) = all_4_28 & op(e3, e2) = all_4_148 &
% 31.79/5.23 | | | | | | | op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) &
% 31.79/5.23 | | | | | | | $i(all_4_148) & $i(all_4_151))
% 31.79/5.23 | | | | | | |
% 31.79/5.23 | | | | | | | BETA: splitting (230) gives:
% 31.79/5.23 | | | | | | |
% 31.79/5.23 | | | | | | | Case 1:
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | (231) ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27
% 31.79/5.23 | | | | | | | | & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160
% 31.79/5.23 | | | | | | | | & op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27)
% 31.79/5.23 | | | | | | | | & $i(all_4_150) & $i(all_4_160)
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | ALPHA: (231) implies:
% 31.79/5.23 | | | | | | | | (232) ~ (all_4_26 = all_4_27)
% 31.79/5.23 | | | | | | | | (233) op(e3, e0) = all_4_150
% 31.79/5.23 | | | | | | | | (234) op(e3, e3) = all_4_160
% 31.79/5.23 | | | | | | | | (235) op(e3, all_4_150) = all_4_26
% 31.79/5.23 | | | | | | | | (236) op(all_4_160, e0) = all_4_27
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 31.79/5.23 | | | | | | | | simplifying with (17), (233) gives:
% 31.79/5.23 | | | | | | | | (237) all_4_150 = e3
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 31.79/5.23 | | | | | | | | simplifying with (19), (234) gives:
% 31.79/5.23 | | | | | | | | (238) all_4_160 = e0
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (236), (238) imply:
% 31.79/5.23 | | | | | | | | (239) op(e0, e0) = all_4_27
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (235), (237) imply:
% 31.79/5.23 | | | | | | | | (240) op(e3, e3) = all_4_26
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_27, e0, e0,
% 31.79/5.23 | | | | | | | | simplifying with (9), (239) gives:
% 31.79/5.23 | | | | | | | | (241) all_4_27 = e0
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_26, e3, e3,
% 31.79/5.23 | | | | | | | | simplifying with (19), (240) gives:
% 31.79/5.23 | | | | | | | | (242) all_4_26 = e0
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | REDUCE: (232), (241), (242) imply:
% 31.79/5.23 | | | | | | | | (243) $false
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | CLOSE: (243) is inconsistent.
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | Case 2:
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | (244) ~ (all_4_28 = all_4_29) & op(all_4_148, e3) = all_4_29
% 31.79/5.23 | | | | | | | | & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148
% 31.79/5.23 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29)
% 31.79/5.23 | | | | | | | | & $i(all_4_148) & $i(all_4_151)
% 31.79/5.23 | | | | | | | |
% 31.79/5.23 | | | | | | | | ALPHA: (244) implies:
% 31.79/5.23 | | | | | | | | (245) ~ (all_4_28 = all_4_29)
% 31.79/5.23 | | | | | | | | (246) op(e2, e3) = all_4_151
% 31.79/5.23 | | | | | | | | (247) op(e3, e2) = all_4_148
% 31.79/5.23 | | | | | | | | (248) op(e3, all_4_151) = all_4_28
% 31.79/5.23 | | | | | | | | (249) op(all_4_148, e3) = all_4_29
% 31.79/5.23 | | | | | | | |
% 31.79/5.24 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 31.79/5.24 | | | | | | | | simplifying with (15), (246) gives:
% 31.79/5.24 | | | | | | | | (250) all_4_151 = e1
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 31.79/5.24 | | | | | | | | simplifying with (18), (247) gives:
% 31.79/5.24 | | | | | | | | (251) all_4_148 = e1
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | REDUCE: (249), (251) imply:
% 31.79/5.24 | | | | | | | | (252) op(e1, e3) = all_4_29
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | REDUCE: (248), (250) imply:
% 31.79/5.24 | | | | | | | | (253) op(e3, e1) = all_4_28
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_29, e3, e1,
% 31.79/5.24 | | | | | | | | simplifying with (7), (252) gives:
% 31.79/5.24 | | | | | | | | (254) all_4_29 = e2
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_28, e1, e3,
% 31.79/5.24 | | | | | | | | simplifying with (16), (253) gives:
% 31.79/5.24 | | | | | | | | (255) all_4_28 = e2
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | REDUCE: (245), (254), (255) imply:
% 31.79/5.24 | | | | | | | | (256) $false
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | | CLOSE: (256) is inconsistent.
% 31.79/5.24 | | | | | | | |
% 31.79/5.24 | | | | | | | End of split
% 31.79/5.24 | | | | | | |
% 31.79/5.24 | | | | | | End of split
% 31.79/5.24 | | | | | |
% 31.79/5.24 | | | | | End of split
% 31.79/5.24 | | | | |
% 31.79/5.24 | | | | End of split
% 31.79/5.24 | | | |
% 31.79/5.24 | | | End of split
% 31.79/5.24 | | |
% 31.79/5.24 | | Case 2:
% 31.79/5.24 | | |
% 32.21/5.24 | | | (257) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & op(e3,
% 32.21/5.24 | | | all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & op(e2, e2) =
% 32.21/5.24 | | | all_4_161 & $i(all_4_30) & $i(all_4_31) & $i(all_4_148) &
% 32.21/5.24 | | | $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1)
% 32.21/5.24 | | | = all_4_33 & op(e3, all_4_152) = all_4_32 & op(e3, e2) =
% 32.21/5.24 | | | all_4_148 & op(e2, e1) = all_4_152 & $i(all_4_32) &
% 32.21/5.24 | | | $i(all_4_33) & $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 =
% 32.21/5.24 | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3, all_4_153)
% 32.21/5.24 | | | = all_4_34 & op(e3, e2) = all_4_148 & op(e2, e0) = all_4_153 &
% 32.21/5.24 | | | $i(all_4_34) & $i(all_4_35) & $i(all_4_148) & $i(all_4_153)) |
% 32.21/5.24 | | | ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 & op(e3,
% 32.21/5.24 | | | all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & op(e1, e3) =
% 32.21/5.24 | | | all_4_154 & $i(all_4_36) & $i(all_4_37) & $i(all_4_149) &
% 32.21/5.24 | | | $i(all_4_154)) | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2)
% 32.21/5.24 | | | = all_4_39 & op(e3, all_4_155) = all_4_38 & op(e3, e1) =
% 32.21/5.24 | | | all_4_149 & op(e1, e2) = all_4_155 & $i(all_4_38) &
% 32.21/5.24 | | | $i(all_4_39) & $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 =
% 32.21/5.24 | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3, all_4_162)
% 32.21/5.24 | | | = all_4_40 & op(e3, e1) = all_4_149 & op(e1, e1) = all_4_162 &
% 32.21/5.24 | | | $i(all_4_40) & $i(all_4_41) & $i(all_4_149) & $i(all_4_162)) |
% 32.21/5.24 | | | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & op(e3,
% 32.21/5.24 | | | all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & op(e1, e0) =
% 32.21/5.24 | | | all_4_156 & $i(all_4_42) & $i(all_4_43) & $i(all_4_149) &
% 32.21/5.24 | | | $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3)
% 32.21/5.24 | | | = all_4_45 & op(e3, all_4_157) = all_4_44 & op(e3, e0) =
% 32.21/5.24 | | | all_4_150 & op(e0, e3) = all_4_157 & $i(all_4_44) &
% 32.21/5.24 | | | $i(all_4_45) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 =
% 32.21/5.24 | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, all_4_158)
% 32.21/5.24 | | | = all_4_46 & op(e3, e0) = all_4_150 & op(e0, e2) = all_4_158 &
% 32.21/5.24 | | | $i(all_4_46) & $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) |
% 32.21/5.24 | | | ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & op(e3,
% 32.21/5.24 | | | all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & op(e0, e1) =
% 32.21/5.24 | | | all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150) &
% 32.21/5.24 | | | $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0)
% 32.21/5.24 | | | = all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) =
% 32.21/5.24 | | | all_4_150 & op(e0, e0) = all_4_163 & $i(all_4_50) &
% 32.21/5.24 | | | $i(all_4_51) & $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 =
% 32.21/5.24 | | | all_4_53) & op(all_4_151, e3) = all_4_53 & op(e3, e3) =
% 32.21/5.24 | | | all_4_160 & op(e2, all_4_160) = all_4_52 & op(e2, e3) =
% 32.21/5.24 | | | all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151) &
% 32.21/5.24 | | | $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2)
% 32.21/5.24 | | | = all_4_55 & op(e3, e2) = all_4_148 & op(e2, all_4_148) =
% 32.21/5.24 | | | all_4_54 & op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55)
% 32.21/5.24 | | | & $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57) &
% 32.21/5.24 | | | op(all_4_151, e1) = all_4_57 & op(e3, e1) = all_4_149 & op(e2,
% 32.21/5.24 | | | all_4_149) = all_4_56 & op(e2, e3) = all_4_151 & $i(all_4_56)
% 32.21/5.24 | | | & $i(all_4_57) & $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58
% 32.21/5.24 | | | = all_4_59) & op(all_4_151, e0) = all_4_59 & op(e3, e0) =
% 32.21/5.24 | | | all_4_150 & op(e2, all_4_150) = all_4_58 & op(e2, e3) =
% 32.21/5.24 | | | all_4_151 & $i(all_4_58) & $i(all_4_59) & $i(all_4_150) &
% 32.21/5.24 | | | $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3)
% 32.21/5.24 | | | = all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2, e3) =
% 32.21/5.24 | | | all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) &
% 32.21/5.24 | | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 =
% 32.21/5.24 | | | all_4_63) & op(all_4_161, e2) = all_4_63 & op(e2, all_4_161)
% 32.21/5.24 | | | = all_4_62 & op(e2, e2) = all_4_161 & $i(all_4_62) &
% 32.21/5.24 | | | $i(all_4_63) & $i(all_4_161)) | ( ~ (all_4_64 = all_4_65) &
% 32.21/5.24 | | | op(all_4_161, e1) = all_4_65 & op(e2, all_4_152) = all_4_64 &
% 32.21/5.24 | | | op(e2, e2) = all_4_161 & op(e2, e1) = all_4_152 & $i(all_4_64)
% 32.21/5.24 | | | & $i(all_4_65) & $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66
% 32.21/5.24 | | | = all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2,
% 32.21/5.24 | | | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) =
% 32.21/5.24 | | | all_4_153 & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) &
% 32.21/5.24 | | | $i(all_4_161)) | ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3)
% 32.21/5.24 | | | = all_4_69 & op(e2, all_4_154) = all_4_68 & op(e2, e1) =
% 32.21/5.24 | | | all_4_152 & op(e1, e3) = all_4_154 & $i(all_4_68) &
% 32.21/5.24 | | | $i(all_4_69) & $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 =
% 32.21/5.24 | | | all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2, all_4_155)
% 32.21/5.24 | | | = all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) = all_4_155 &
% 32.21/5.24 | | | $i(all_4_70) & $i(all_4_71) & $i(all_4_152) & $i(all_4_155)) |
% 32.21/5.24 | | | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73 & op(e2,
% 32.21/5.24 | | | all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & op(e1, e1) =
% 32.21/5.24 | | | all_4_162 & $i(all_4_72) & $i(all_4_73) & $i(all_4_152) &
% 32.21/5.24 | | | $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0)
% 32.21/5.24 | | | = all_4_75 & op(e2, all_4_156) = all_4_74 & op(e2, e1) =
% 32.21/5.24 | | | all_4_152 & op(e1, e0) = all_4_156 & $i(all_4_74) &
% 32.21/5.24 | | | $i(all_4_75) & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 =
% 32.21/5.24 | | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, all_4_157)
% 32.21/5.24 | | | = all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3) = all_4_157 &
% 32.21/5.24 | | | $i(all_4_76) & $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) |
% 32.21/5.24 | | | ( ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2,
% 32.21/5.24 | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, e2) =
% 32.21/5.24 | | | all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) &
% 32.21/5.24 | | | $i(all_4_158))
% 32.21/5.24 | | |
% 32.21/5.24 | | | BETA: splitting (257) gives:
% 32.21/5.24 | | |
% 32.21/5.24 | | | Case 1:
% 32.21/5.24 | | | |
% 32.21/5.25 | | | | (258) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 &
% 32.21/5.25 | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 &
% 32.21/5.25 | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) &
% 32.21/5.25 | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) &
% 32.21/5.25 | | | | op(all_4_148, e1) = all_4_33 & op(e3, all_4_152) = all_4_32 &
% 32.21/5.25 | | | | op(e3, e2) = all_4_148 & op(e2, e1) = all_4_152 &
% 32.21/5.25 | | | | $i(all_4_32) & $i(all_4_33) & $i(all_4_148) & $i(all_4_152))
% 32.21/5.25 | | | | | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = all_4_35 &
% 32.21/5.25 | | | | op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 &
% 32.21/5.25 | | | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) &
% 32.21/5.25 | | | | $i(all_4_148) & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) &
% 32.21/5.25 | | | | op(all_4_149, e3) = all_4_37 & op(e3, all_4_154) = all_4_36 &
% 32.21/5.25 | | | | op(e3, e1) = all_4_149 & op(e1, e3) = all_4_154 &
% 32.21/5.25 | | | | $i(all_4_36) & $i(all_4_37) & $i(all_4_149) & $i(all_4_154))
% 32.21/5.25 | | | | | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39 &
% 32.21/5.25 | | | | op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 &
% 32.21/5.25 | | | | op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) &
% 32.21/5.25 | | | | $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) &
% 32.21/5.25 | | | | op(all_4_149, e1) = all_4_41 & op(e3, all_4_162) = all_4_40 &
% 32.21/5.25 | | | | op(e3, e1) = all_4_149 & op(e1, e1) = all_4_162 &
% 32.21/5.25 | | | | $i(all_4_40) & $i(all_4_41) & $i(all_4_149) & $i(all_4_162))
% 32.21/5.25 | | | | | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 &
% 32.21/5.25 | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 32.21/5.25 | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) &
% 32.21/5.25 | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) &
% 32.21/5.25 | | | | op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) = all_4_44 &
% 32.21/5.25 | | | | op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157 &
% 32.21/5.25 | | | | $i(all_4_44) & $i(all_4_45) & $i(all_4_150) & $i(all_4_157))
% 32.21/5.25 | | | | | ( ~ (all_4_46 = all_4_47) & op(all_4_150, e2) = all_4_47 &
% 32.21/5.25 | | | | op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150 &
% 32.21/5.25 | | | | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) &
% 32.21/5.25 | | | | $i(all_4_150) & $i(all_4_158)) | ( ~ (all_4_48 = all_4_49) &
% 32.21/5.25 | | | | op(all_4_150, e1) = all_4_49 & op(e3, all_4_159) = all_4_48 &
% 32.21/5.25 | | | | op(e3, e0) = all_4_150 & op(e0, e1) = all_4_159 &
% 32.21/5.25 | | | | $i(all_4_48) & $i(all_4_49) & $i(all_4_150) & $i(all_4_159))
% 32.21/5.25 | | | | | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = all_4_51 &
% 32.21/5.25 | | | | op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 &
% 32.21/5.25 | | | | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) &
% 32.21/5.25 | | | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) &
% 32.21/5.25 | | | | op(all_4_151, e3) = all_4_53 & op(e3, e3) = all_4_160 &
% 32.21/5.25 | | | | op(e2, all_4_160) = all_4_52 & op(e2, e3) = all_4_151 &
% 32.21/5.25 | | | | $i(all_4_52) & $i(all_4_53) & $i(all_4_151) & $i(all_4_160))
% 32.21/5.25 | | | |
% 32.21/5.25 | | | | BETA: splitting (258) gives:
% 32.21/5.25 | | | |
% 32.21/5.25 | | | | Case 1:
% 32.21/5.25 | | | | |
% 32.21/5.25 | | | | | (259) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 &
% 32.21/5.25 | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 &
% 32.21/5.25 | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) &
% 32.21/5.25 | | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33)
% 32.21/5.25 | | | | | & op(all_4_148, e1) = all_4_33 & op(e3, all_4_152) =
% 32.21/5.25 | | | | | all_4_32 & op(e3, e2) = all_4_148 & op(e2, e1) = all_4_152
% 32.21/5.25 | | | | | & $i(all_4_32) & $i(all_4_33) & $i(all_4_148) &
% 32.21/5.25 | | | | | $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148,
% 32.21/5.25 | | | | | e0) = all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3,
% 32.21/5.25 | | | | | e2) = all_4_148 & op(e2, e0) = all_4_153 & $i(all_4_34) &
% 32.21/5.25 | | | | | $i(all_4_35) & $i(all_4_148) & $i(all_4_153)) | ( ~
% 32.21/5.25 | | | | | (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 &
% 32.21/5.25 | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 &
% 32.21/5.25 | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) &
% 32.21/5.25 | | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 = all_4_39)
% 32.21/5.25 | | | | | & op(all_4_149, e2) = all_4_39 & op(e3, all_4_155) =
% 32.21/5.25 | | | | | all_4_38 & op(e3, e1) = all_4_149 & op(e1, e2) = all_4_155
% 32.21/5.25 | | | | | & $i(all_4_38) & $i(all_4_39) & $i(all_4_149) &
% 32.21/5.25 | | | | | $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) & op(all_4_149,
% 32.21/5.25 | | | | | e1) = all_4_41 & op(e3, all_4_162) = all_4_40 & op(e3,
% 32.21/5.25 | | | | | e1) = all_4_149 & op(e1, e1) = all_4_162 & $i(all_4_40) &
% 32.21/5.25 | | | | | $i(all_4_41) & $i(all_4_149) & $i(all_4_162))
% 32.21/5.25 | | | | |
% 32.21/5.25 | | | | | BETA: splitting (259) gives:
% 32.21/5.25 | | | | |
% 32.21/5.25 | | | | | Case 1:
% 32.21/5.25 | | | | | |
% 32.21/5.25 | | | | | | (260) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 &
% 32.21/5.25 | | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 &
% 32.21/5.25 | | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) &
% 32.21/5.25 | | | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 =
% 32.21/5.25 | | | | | | all_4_33) & op(all_4_148, e1) = all_4_33 & op(e3,
% 32.21/5.25 | | | | | | all_4_152) = all_4_32 & op(e3, e2) = all_4_148 & op(e2,
% 32.21/5.25 | | | | | | e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) &
% 32.21/5.25 | | | | | | $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 =
% 32.21/5.25 | | | | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3,
% 32.21/5.25 | | | | | | all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & op(e2,
% 32.21/5.25 | | | | | | e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) &
% 32.21/5.25 | | | | | | $i(all_4_148) & $i(all_4_153))
% 32.21/5.25 | | | | | |
% 32.21/5.25 | | | | | | BETA: splitting (260) gives:
% 32.21/5.25 | | | | | |
% 32.21/5.25 | | | | | | Case 1:
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | (261) ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 &
% 32.21/5.25 | | | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 &
% 32.21/5.25 | | | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) &
% 32.21/5.25 | | | | | | | $i(all_4_148) & $i(all_4_161)
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | ALPHA: (261) implies:
% 32.21/5.25 | | | | | | | (262) ~ (all_4_30 = all_4_31)
% 32.21/5.25 | | | | | | | (263) op(e2, e2) = all_4_161
% 32.21/5.25 | | | | | | | (264) op(e3, e2) = all_4_148
% 32.21/5.25 | | | | | | | (265) op(e3, all_4_161) = all_4_30
% 32.21/5.25 | | | | | | | (266) op(all_4_148, e2) = all_4_31
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.21/5.25 | | | | | | | simplifying with (14), (263) gives:
% 32.21/5.25 | | | | | | | (267) all_4_161 = e3
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 32.21/5.25 | | | | | | | simplifying with (18), (264) gives:
% 32.21/5.25 | | | | | | | (268) all_4_148 = e1
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | REDUCE: (266), (268) imply:
% 32.21/5.25 | | | | | | | (269) op(e1, e2) = all_4_31
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | REDUCE: (265), (267) imply:
% 32.21/5.25 | | | | | | | (270) op(e3, e3) = all_4_30
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_31, e2, e1,
% 32.21/5.25 | | | | | | | simplifying with (6), (269) gives:
% 32.21/5.25 | | | | | | | (271) all_4_31 = e0
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_30, e3, e3,
% 32.21/5.25 | | | | | | | simplifying with (19), (270) gives:
% 32.21/5.25 | | | | | | | (272) all_4_30 = e0
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | REDUCE: (262), (271), (272) imply:
% 32.21/5.25 | | | | | | | (273) $false
% 32.21/5.25 | | | | | | |
% 32.21/5.25 | | | | | | | CLOSE: (273) is inconsistent.
% 32.21/5.25 | | | | | | |
% 32.21/5.26 | | | | | | Case 2:
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | | (274) ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33
% 32.21/5.26 | | | | | | | & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148
% 32.21/5.26 | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33)
% 32.21/5.26 | | | | | | | & $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 =
% 32.21/5.26 | | | | | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3,
% 32.21/5.26 | | | | | | | all_4_153) = all_4_34 & op(e3, e2) = all_4_148 &
% 32.21/5.26 | | | | | | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) &
% 32.21/5.26 | | | | | | | $i(all_4_148) & $i(all_4_153))
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | | BETA: splitting (274) gives:
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | | Case 1:
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | (275) ~ (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33
% 32.21/5.26 | | | | | | | | & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148
% 32.21/5.26 | | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33)
% 32.21/5.26 | | | | | | | | & $i(all_4_148) & $i(all_4_152)
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | ALPHA: (275) implies:
% 32.21/5.26 | | | | | | | | (276) ~ (all_4_32 = all_4_33)
% 32.21/5.26 | | | | | | | | (277) op(e2, e1) = all_4_152
% 32.21/5.26 | | | | | | | | (278) op(e3, e2) = all_4_148
% 32.21/5.26 | | | | | | | | (279) op(e3, all_4_152) = all_4_32
% 32.21/5.26 | | | | | | | | (280) op(all_4_148, e1) = all_4_33
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.21/5.26 | | | | | | | | simplifying with (12), (277) gives:
% 32.21/5.26 | | | | | | | | (281) all_4_152 = e0
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 32.21/5.26 | | | | | | | | simplifying with (18), (278) gives:
% 32.21/5.26 | | | | | | | | (282) all_4_148 = e1
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (280), (282) imply:
% 32.21/5.26 | | | | | | | | (283) op(e1, e1) = all_4_33
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (279), (281) imply:
% 32.21/5.26 | | | | | | | | (284) op(e3, e0) = all_4_32
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_33, e1, e1,
% 32.21/5.26 | | | | | | | | simplifying with (4), (283) gives:
% 32.21/5.26 | | | | | | | | (285) all_4_33 = e3
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_32, e0, e3,
% 32.21/5.26 | | | | | | | | simplifying with (17), (284) gives:
% 32.21/5.26 | | | | | | | | (286) all_4_32 = e3
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (276), (285), (286) imply:
% 32.21/5.26 | | | | | | | | (287) $false
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | CLOSE: (287) is inconsistent.
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | Case 2:
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | (288) ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = all_4_35
% 32.21/5.26 | | | | | | | | & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148
% 32.21/5.26 | | | | | | | | & op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35)
% 32.21/5.26 | | | | | | | | & $i(all_4_148) & $i(all_4_153)
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | ALPHA: (288) implies:
% 32.21/5.26 | | | | | | | | (289) ~ (all_4_34 = all_4_35)
% 32.21/5.26 | | | | | | | | (290) op(e2, e0) = all_4_153
% 32.21/5.26 | | | | | | | | (291) op(e3, e2) = all_4_148
% 32.21/5.26 | | | | | | | | (292) op(e3, all_4_153) = all_4_34
% 32.21/5.26 | | | | | | | | (293) op(all_4_148, e0) = all_4_35
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.21/5.26 | | | | | | | | simplifying with (13), (290) gives:
% 32.21/5.26 | | | | | | | | (294) all_4_153 = e2
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 32.21/5.26 | | | | | | | | simplifying with (18), (291) gives:
% 32.21/5.26 | | | | | | | | (295) all_4_148 = e1
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (293), (295) imply:
% 32.21/5.26 | | | | | | | | (296) op(e1, e0) = all_4_35
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (292), (294) imply:
% 32.21/5.26 | | | | | | | | (297) op(e3, e2) = all_4_34
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_35, e0, e1,
% 32.21/5.26 | | | | | | | | simplifying with (5), (296) gives:
% 32.21/5.26 | | | | | | | | (298) all_4_35 = e1
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_34, e2, e3,
% 32.21/5.26 | | | | | | | | simplifying with (18), (297) gives:
% 32.21/5.26 | | | | | | | | (299) all_4_34 = e1
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | REDUCE: (289), (298), (299) imply:
% 32.21/5.26 | | | | | | | | (300) $false
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | | CLOSE: (300) is inconsistent.
% 32.21/5.26 | | | | | | | |
% 32.21/5.26 | | | | | | | End of split
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | End of split
% 32.21/5.26 | | | | | |
% 32.21/5.26 | | | | | Case 2:
% 32.21/5.26 | | | | | |
% 32.21/5.26 | | | | | | (301) ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 &
% 32.21/5.26 | | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 &
% 32.21/5.26 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) &
% 32.21/5.26 | | | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 =
% 32.21/5.26 | | | | | | all_4_39) & op(all_4_149, e2) = all_4_39 & op(e3,
% 32.21/5.26 | | | | | | all_4_155) = all_4_38 & op(e3, e1) = all_4_149 & op(e1,
% 32.21/5.26 | | | | | | e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) &
% 32.21/5.26 | | | | | | $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 =
% 32.21/5.26 | | | | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3,
% 32.21/5.26 | | | | | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & op(e1,
% 32.21/5.26 | | | | | | e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) &
% 32.21/5.26 | | | | | | $i(all_4_149) & $i(all_4_162))
% 32.21/5.26 | | | | | |
% 32.21/5.26 | | | | | | BETA: splitting (301) gives:
% 32.21/5.26 | | | | | |
% 32.21/5.26 | | | | | | Case 1:
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | | (302) ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 &
% 32.21/5.26 | | | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 &
% 32.21/5.26 | | | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) &
% 32.21/5.26 | | | | | | | $i(all_4_149) & $i(all_4_154)
% 32.21/5.26 | | | | | | |
% 32.21/5.26 | | | | | | | ALPHA: (302) implies:
% 32.21/5.26 | | | | | | | (303) ~ (all_4_36 = all_4_37)
% 32.21/5.26 | | | | | | | (304) op(e1, e3) = all_4_154
% 32.21/5.27 | | | | | | | (305) op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | (306) op(e3, all_4_154) = all_4_36
% 32.21/5.27 | | | | | | | (307) op(all_4_149, e3) = all_4_37
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.21/5.27 | | | | | | | simplifying with (7), (304) gives:
% 32.21/5.27 | | | | | | | (308) all_4_154 = e2
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.21/5.27 | | | | | | | simplifying with (16), (305) gives:
% 32.21/5.27 | | | | | | | (309) all_4_149 = e2
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | REDUCE: (307), (309) imply:
% 32.21/5.27 | | | | | | | (310) op(e2, e3) = all_4_37
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | REDUCE: (306), (308) imply:
% 32.21/5.27 | | | | | | | (311) op(e3, e2) = all_4_36
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_37, e3, e2,
% 32.21/5.27 | | | | | | | simplifying with (15), (310) gives:
% 32.21/5.27 | | | | | | | (312) all_4_37 = e1
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_36, e2, e3,
% 32.21/5.27 | | | | | | | simplifying with (18), (311) gives:
% 32.21/5.27 | | | | | | | (313) all_4_36 = e1
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | REDUCE: (303), (312), (313) imply:
% 32.21/5.27 | | | | | | | (314) $false
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | CLOSE: (314) is inconsistent.
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | Case 2:
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | (315) ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39
% 32.21/5.27 | | | | | | | & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39)
% 32.21/5.27 | | | | | | | & $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 =
% 32.21/5.27 | | | | | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3,
% 32.21/5.27 | | | | | | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 &
% 32.21/5.27 | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) &
% 32.21/5.27 | | | | | | | $i(all_4_149) & $i(all_4_162))
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | BETA: splitting (315) gives:
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | | Case 1:
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | (316) ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39
% 32.21/5.27 | | | | | | | | & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39)
% 32.21/5.27 | | | | | | | | & $i(all_4_149) & $i(all_4_155)
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | ALPHA: (316) implies:
% 32.21/5.27 | | | | | | | | (317) ~ (all_4_38 = all_4_39)
% 32.21/5.27 | | | | | | | | (318) op(e1, e2) = all_4_155
% 32.21/5.27 | | | | | | | | (319) op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | | (320) op(e3, all_4_155) = all_4_38
% 32.21/5.27 | | | | | | | | (321) op(all_4_149, e2) = all_4_39
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.21/5.27 | | | | | | | | simplifying with (6), (318) gives:
% 32.21/5.27 | | | | | | | | (322) all_4_155 = e0
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.21/5.27 | | | | | | | | simplifying with (16), (319) gives:
% 32.21/5.27 | | | | | | | | (323) all_4_149 = e2
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (321), (323) imply:
% 32.21/5.27 | | | | | | | | (324) op(e2, e2) = all_4_39
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (320), (322) imply:
% 32.21/5.27 | | | | | | | | (325) op(e3, e0) = all_4_38
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_39, e2, e2,
% 32.21/5.27 | | | | | | | | simplifying with (14), (324) gives:
% 32.21/5.27 | | | | | | | | (326) all_4_39 = e3
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_38, e0, e3,
% 32.21/5.27 | | | | | | | | simplifying with (17), (325) gives:
% 32.21/5.27 | | | | | | | | (327) all_4_38 = e3
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (317), (326), (327) imply:
% 32.21/5.27 | | | | | | | | (328) $false
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | CLOSE: (328) is inconsistent.
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | Case 2:
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | (329) ~ (all_4_40 = all_4_41) & op(all_4_149, e1) = all_4_41
% 32.21/5.27 | | | | | | | | & op(e3, all_4_162) = all_4_40 & op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41)
% 32.21/5.27 | | | | | | | | & $i(all_4_149) & $i(all_4_162)
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | ALPHA: (329) implies:
% 32.21/5.27 | | | | | | | | (330) ~ (all_4_40 = all_4_41)
% 32.21/5.27 | | | | | | | | (331) op(e1, e1) = all_4_162
% 32.21/5.27 | | | | | | | | (332) op(e3, e1) = all_4_149
% 32.21/5.27 | | | | | | | | (333) op(e3, all_4_162) = all_4_40
% 32.21/5.27 | | | | | | | | (334) op(all_4_149, e1) = all_4_41
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 32.21/5.27 | | | | | | | | simplifying with (4), (331) gives:
% 32.21/5.27 | | | | | | | | (335) all_4_162 = e3
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.21/5.27 | | | | | | | | simplifying with (16), (332) gives:
% 32.21/5.27 | | | | | | | | (336) all_4_149 = e2
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (334), (336) imply:
% 32.21/5.27 | | | | | | | | (337) op(e2, e1) = all_4_41
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (333), (335) imply:
% 32.21/5.27 | | | | | | | | (338) op(e3, e3) = all_4_40
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_41, e1, e2,
% 32.21/5.27 | | | | | | | | simplifying with (12), (337) gives:
% 32.21/5.27 | | | | | | | | (339) all_4_41 = e0
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_40, e3, e3,
% 32.21/5.27 | | | | | | | | simplifying with (19), (338) gives:
% 32.21/5.27 | | | | | | | | (340) all_4_40 = e0
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | REDUCE: (330), (339), (340) imply:
% 32.21/5.27 | | | | | | | | (341) $false
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | | CLOSE: (341) is inconsistent.
% 32.21/5.27 | | | | | | | |
% 32.21/5.27 | | | | | | | End of split
% 32.21/5.27 | | | | | | |
% 32.21/5.27 | | | | | | End of split
% 32.21/5.27 | | | | | |
% 32.21/5.27 | | | | | End of split
% 32.21/5.27 | | | | |
% 32.21/5.27 | | | | Case 2:
% 32.21/5.27 | | | | |
% 32.21/5.28 | | | | | (342) ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 &
% 32.21/5.28 | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 32.21/5.28 | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) &
% 32.21/5.28 | | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45)
% 32.21/5.28 | | | | | & op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) =
% 32.21/5.28 | | | | | all_4_44 & op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157
% 32.21/5.28 | | | | | & $i(all_4_44) & $i(all_4_45) & $i(all_4_150) &
% 32.21/5.28 | | | | | $i(all_4_157)) | ( ~ (all_4_46 = all_4_47) & op(all_4_150,
% 32.21/5.28 | | | | | e2) = all_4_47 & op(e3, all_4_158) = all_4_46 & op(e3,
% 32.21/5.28 | | | | | e0) = all_4_150 & op(e0, e2) = all_4_158 & $i(all_4_46) &
% 32.21/5.28 | | | | | $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) | ( ~
% 32.21/5.28 | | | | | (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 &
% 32.21/5.28 | | | | | op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 &
% 32.21/5.28 | | | | | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) &
% 32.21/5.28 | | | | | $i(all_4_150) & $i(all_4_159)) | ( ~ (all_4_50 = all_4_51)
% 32.21/5.28 | | | | | & op(all_4_150, e0) = all_4_51 & op(e3, all_4_163) =
% 32.21/5.28 | | | | | all_4_50 & op(e3, e0) = all_4_150 & op(e0, e0) = all_4_163
% 32.21/5.28 | | | | | & $i(all_4_50) & $i(all_4_51) & $i(all_4_150) &
% 32.21/5.28 | | | | | $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & op(all_4_151,
% 32.21/5.28 | | | | | e3) = all_4_53 & op(e3, e3) = all_4_160 & op(e2,
% 32.21/5.28 | | | | | all_4_160) = all_4_52 & op(e2, e3) = all_4_151 &
% 32.21/5.28 | | | | | $i(all_4_52) & $i(all_4_53) & $i(all_4_151) &
% 32.21/5.28 | | | | | $i(all_4_160))
% 32.21/5.28 | | | | |
% 32.21/5.28 | | | | | BETA: splitting (342) gives:
% 32.21/5.28 | | | | |
% 32.21/5.28 | | | | | Case 1:
% 32.21/5.28 | | | | | |
% 32.21/5.28 | | | | | | (343) ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 &
% 32.21/5.28 | | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 32.21/5.28 | | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) &
% 32.21/5.28 | | | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 =
% 32.21/5.28 | | | | | | all_4_45) & op(all_4_150, e3) = all_4_45 & op(e3,
% 32.21/5.28 | | | | | | all_4_157) = all_4_44 & op(e3, e0) = all_4_150 & op(e0,
% 32.21/5.28 | | | | | | e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) &
% 32.21/5.28 | | | | | | $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 =
% 32.21/5.28 | | | | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3,
% 32.21/5.28 | | | | | | all_4_158) = all_4_46 & op(e3, e0) = all_4_150 & op(e0,
% 32.21/5.28 | | | | | | e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) &
% 32.21/5.28 | | | | | | $i(all_4_150) & $i(all_4_158))
% 32.21/5.28 | | | | | |
% 32.21/5.28 | | | | | | BETA: splitting (343) gives:
% 32.21/5.28 | | | | | |
% 32.21/5.28 | | | | | | Case 1:
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | (344) ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 &
% 32.21/5.28 | | | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 &
% 32.21/5.28 | | | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) &
% 32.21/5.28 | | | | | | | $i(all_4_149) & $i(all_4_156)
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | ALPHA: (344) implies:
% 32.21/5.28 | | | | | | | (345) ~ (all_4_42 = all_4_43)
% 32.21/5.28 | | | | | | | (346) op(e1, e0) = all_4_156
% 32.21/5.28 | | | | | | | (347) op(e3, e1) = all_4_149
% 32.21/5.28 | | | | | | | (348) op(e3, all_4_156) = all_4_42
% 32.21/5.28 | | | | | | | (349) op(all_4_149, e0) = all_4_43
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 32.21/5.28 | | | | | | | simplifying with (5), (346) gives:
% 32.21/5.28 | | | | | | | (350) all_4_156 = e1
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.21/5.28 | | | | | | | simplifying with (16), (347) gives:
% 32.21/5.28 | | | | | | | (351) all_4_149 = e2
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | REDUCE: (349), (351) imply:
% 32.21/5.28 | | | | | | | (352) op(e2, e0) = all_4_43
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | REDUCE: (348), (350) imply:
% 32.21/5.28 | | | | | | | (353) op(e3, e1) = all_4_42
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_43, e0, e2,
% 32.21/5.28 | | | | | | | simplifying with (13), (352) gives:
% 32.21/5.28 | | | | | | | (354) all_4_43 = e2
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_42, e1, e3,
% 32.21/5.28 | | | | | | | simplifying with (16), (353) gives:
% 32.21/5.28 | | | | | | | (355) all_4_42 = e2
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | REDUCE: (345), (354), (355) imply:
% 32.21/5.28 | | | | | | | (356) $false
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | CLOSE: (356) is inconsistent.
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | Case 2:
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | (357) ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3) = all_4_45
% 32.21/5.28 | | | | | | | & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150
% 32.21/5.28 | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45)
% 32.21/5.28 | | | | | | | & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 =
% 32.21/5.28 | | | | | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3,
% 32.21/5.28 | | | | | | | all_4_158) = all_4_46 & op(e3, e0) = all_4_150 &
% 32.21/5.28 | | | | | | | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) &
% 32.21/5.28 | | | | | | | $i(all_4_150) & $i(all_4_158))
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | BETA: splitting (357) gives:
% 32.21/5.28 | | | | | | |
% 32.21/5.28 | | | | | | | Case 1:
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | (358) ~ (all_4_44 = all_4_45) & op(all_4_150, e3) = all_4_45
% 32.21/5.28 | | | | | | | | & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150
% 32.21/5.28 | | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45)
% 32.21/5.28 | | | | | | | | & $i(all_4_150) & $i(all_4_157)
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | ALPHA: (358) implies:
% 32.21/5.28 | | | | | | | | (359) ~ (all_4_44 = all_4_45)
% 32.21/5.28 | | | | | | | | (360) op(e0, e3) = all_4_157
% 32.21/5.28 | | | | | | | | (361) op(e3, e0) = all_4_150
% 32.21/5.28 | | | | | | | | (362) op(e3, all_4_157) = all_4_44
% 32.21/5.28 | | | | | | | | (363) op(all_4_150, e3) = all_4_45
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 32.21/5.28 | | | | | | | | simplifying with (11), (360) gives:
% 32.21/5.28 | | | | | | | | (364) all_4_157 = e3
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.21/5.28 | | | | | | | | simplifying with (17), (361) gives:
% 32.21/5.28 | | | | | | | | (365) all_4_150 = e3
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | REDUCE: (363), (365) imply:
% 32.21/5.28 | | | | | | | | (366) op(e3, e3) = all_4_45
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | REDUCE: (362), (364) imply:
% 32.21/5.28 | | | | | | | | (367) op(e3, e3) = all_4_44
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_44, e3, e3,
% 32.21/5.28 | | | | | | | | simplifying with (19), (367) gives:
% 32.21/5.28 | | | | | | | | (368) all_4_44 = e0
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | GROUND_INST: instantiating (27) with all_4_45, all_4_44, e3, e3,
% 32.21/5.28 | | | | | | | | simplifying with (366), (367) gives:
% 32.21/5.28 | | | | | | | | (369) all_4_44 = all_4_45
% 32.21/5.28 | | | | | | | |
% 32.21/5.28 | | | | | | | | COMBINE_EQS: (368), (369) imply:
% 32.21/5.29 | | | | | | | | (370) all_4_45 = e0
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | REDUCE: (359), (368), (370) imply:
% 32.21/5.29 | | | | | | | | (371) $false
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | CLOSE: (371) is inconsistent.
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | Case 2:
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | (372) ~ (all_4_46 = all_4_47) & op(all_4_150, e2) = all_4_47
% 32.21/5.29 | | | | | | | | & op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150
% 32.21/5.29 | | | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47)
% 32.21/5.29 | | | | | | | | & $i(all_4_150) & $i(all_4_158)
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | ALPHA: (372) implies:
% 32.21/5.29 | | | | | | | | (373) ~ (all_4_46 = all_4_47)
% 32.21/5.29 | | | | | | | | (374) op(e0, e2) = all_4_158
% 32.21/5.29 | | | | | | | | (375) op(e3, e0) = all_4_150
% 32.21/5.29 | | | | | | | | (376) op(e3, all_4_158) = all_4_46
% 32.21/5.29 | | | | | | | | (377) op(all_4_150, e2) = all_4_47
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 32.21/5.29 | | | | | | | | simplifying with (10), (374) gives:
% 32.21/5.29 | | | | | | | | (378) all_4_158 = e2
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.21/5.29 | | | | | | | | simplifying with (17), (375) gives:
% 32.21/5.29 | | | | | | | | (379) all_4_150 = e3
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | REDUCE: (377), (379) imply:
% 32.21/5.29 | | | | | | | | (380) op(e3, e2) = all_4_47
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | REDUCE: (376), (378) imply:
% 32.21/5.29 | | | | | | | | (381) op(e3, e2) = all_4_46
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_46, e2, e3,
% 32.21/5.29 | | | | | | | | simplifying with (18), (381) gives:
% 32.21/5.29 | | | | | | | | (382) all_4_46 = e1
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | GROUND_INST: instantiating (27) with all_4_47, all_4_46, e2, e3,
% 32.21/5.29 | | | | | | | | simplifying with (380), (381) gives:
% 32.21/5.29 | | | | | | | | (383) all_4_46 = all_4_47
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | COMBINE_EQS: (382), (383) imply:
% 32.21/5.29 | | | | | | | | (384) all_4_47 = e1
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | REDUCE: (373), (382), (384) imply:
% 32.21/5.29 | | | | | | | | (385) $false
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | | CLOSE: (385) is inconsistent.
% 32.21/5.29 | | | | | | | |
% 32.21/5.29 | | | | | | | End of split
% 32.21/5.29 | | | | | | |
% 32.21/5.29 | | | | | | End of split
% 32.21/5.29 | | | | | |
% 32.21/5.29 | | | | | Case 2:
% 32.21/5.29 | | | | | |
% 32.42/5.29 | | | | | | (386) ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 &
% 32.42/5.29 | | | | | | op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 &
% 32.42/5.29 | | | | | | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) &
% 32.42/5.29 | | | | | | $i(all_4_150) & $i(all_4_159)) | ( ~ (all_4_50 =
% 32.42/5.29 | | | | | | all_4_51) & op(all_4_150, e0) = all_4_51 & op(e3,
% 32.42/5.29 | | | | | | all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & op(e0,
% 32.42/5.29 | | | | | | e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) &
% 32.42/5.29 | | | | | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 =
% 32.42/5.29 | | | | | | all_4_53) & op(all_4_151, e3) = all_4_53 & op(e3, e3) =
% 32.42/5.29 | | | | | | all_4_160 & op(e2, all_4_160) = all_4_52 & op(e2, e3) =
% 32.42/5.29 | | | | | | all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151) &
% 32.42/5.29 | | | | | | $i(all_4_160))
% 32.42/5.29 | | | | | |
% 32.42/5.29 | | | | | | BETA: splitting (386) gives:
% 32.42/5.29 | | | | | |
% 32.42/5.29 | | | | | | Case 1:
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | (387) ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 &
% 32.42/5.29 | | | | | | | op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 &
% 32.42/5.29 | | | | | | | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) &
% 32.42/5.29 | | | | | | | $i(all_4_150) & $i(all_4_159)
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | ALPHA: (387) implies:
% 32.42/5.29 | | | | | | | (388) ~ (all_4_48 = all_4_49)
% 32.42/5.29 | | | | | | | (389) op(e0, e1) = all_4_159
% 32.42/5.29 | | | | | | | (390) op(e3, e0) = all_4_150
% 32.42/5.29 | | | | | | | (391) op(e3, all_4_159) = all_4_48
% 32.42/5.29 | | | | | | | (392) op(all_4_150, e1) = all_4_49
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 32.42/5.29 | | | | | | | simplifying with (8), (389) gives:
% 32.42/5.29 | | | | | | | (393) all_4_159 = e1
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.42/5.29 | | | | | | | simplifying with (17), (390) gives:
% 32.42/5.29 | | | | | | | (394) all_4_150 = e3
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | REDUCE: (392), (394) imply:
% 32.42/5.29 | | | | | | | (395) op(e3, e1) = all_4_49
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | REDUCE: (391), (393) imply:
% 32.42/5.29 | | | | | | | (396) op(e3, e1) = all_4_48
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_48, e1, e3,
% 32.42/5.29 | | | | | | | simplifying with (16), (396) gives:
% 32.42/5.29 | | | | | | | (397) all_4_48 = e2
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | GROUND_INST: instantiating (27) with all_4_49, all_4_48, e1, e3,
% 32.42/5.29 | | | | | | | simplifying with (395), (396) gives:
% 32.42/5.29 | | | | | | | (398) all_4_48 = all_4_49
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | COMBINE_EQS: (397), (398) imply:
% 32.42/5.29 | | | | | | | (399) all_4_49 = e2
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | REDUCE: (388), (397), (399) imply:
% 32.42/5.29 | | | | | | | (400) $false
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | CLOSE: (400) is inconsistent.
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | Case 2:
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | (401) ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = all_4_51
% 32.42/5.29 | | | | | | | & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150
% 32.42/5.29 | | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51)
% 32.42/5.29 | | | | | | | & $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 =
% 32.42/5.29 | | | | | | | all_4_53) & op(all_4_151, e3) = all_4_53 & op(e3, e3)
% 32.42/5.29 | | | | | | | = all_4_160 & op(e2, all_4_160) = all_4_52 & op(e2, e3)
% 32.42/5.29 | | | | | | | = all_4_151 & $i(all_4_52) & $i(all_4_53) &
% 32.42/5.29 | | | | | | | $i(all_4_151) & $i(all_4_160))
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | BETA: splitting (401) gives:
% 32.42/5.29 | | | | | | |
% 32.42/5.29 | | | | | | | Case 1:
% 32.42/5.29 | | | | | | | |
% 32.42/5.29 | | | | | | | | (402) ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = all_4_51
% 32.42/5.29 | | | | | | | | & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150
% 32.42/5.29 | | | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51)
% 32.42/5.29 | | | | | | | | & $i(all_4_150) & $i(all_4_163)
% 32.42/5.29 | | | | | | | |
% 32.42/5.29 | | | | | | | | ALPHA: (402) implies:
% 32.42/5.29 | | | | | | | | (403) ~ (all_4_50 = all_4_51)
% 32.42/5.29 | | | | | | | | (404) op(e0, e0) = all_4_163
% 32.42/5.29 | | | | | | | | (405) op(e3, e0) = all_4_150
% 32.42/5.29 | | | | | | | | (406) op(e3, all_4_163) = all_4_50
% 32.42/5.29 | | | | | | | | (407) op(all_4_150, e0) = all_4_51
% 32.42/5.29 | | | | | | | |
% 32.42/5.29 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 32.42/5.29 | | | | | | | | simplifying with (9), (404) gives:
% 32.42/5.29 | | | | | | | | (408) all_4_163 = e0
% 32.42/5.29 | | | | | | | |
% 32.42/5.30 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.42/5.30 | | | | | | | | simplifying with (17), (405) gives:
% 32.42/5.30 | | | | | | | | (409) all_4_150 = e3
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | REDUCE: (407), (409) imply:
% 32.42/5.30 | | | | | | | | (410) op(e3, e0) = all_4_51
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | REDUCE: (406), (408) imply:
% 32.42/5.30 | | | | | | | | (411) op(e3, e0) = all_4_50
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_50, e0, e3,
% 32.42/5.30 | | | | | | | | simplifying with (17), (411) gives:
% 32.42/5.30 | | | | | | | | (412) all_4_50 = e3
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | GROUND_INST: instantiating (27) with all_4_51, all_4_50, e0, e3,
% 32.42/5.30 | | | | | | | | simplifying with (410), (411) gives:
% 32.42/5.30 | | | | | | | | (413) all_4_50 = all_4_51
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | COMBINE_EQS: (412), (413) imply:
% 32.42/5.30 | | | | | | | | (414) all_4_51 = e3
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | REDUCE: (403), (412), (414) imply:
% 32.42/5.30 | | | | | | | | (415) $false
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | CLOSE: (415) is inconsistent.
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | Case 2:
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | (416) ~ (all_4_52 = all_4_53) & op(all_4_151, e3) = all_4_53
% 32.42/5.30 | | | | | | | | & op(e3, e3) = all_4_160 & op(e2, all_4_160) = all_4_52
% 32.42/5.30 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_52) & $i(all_4_53)
% 32.42/5.30 | | | | | | | | & $i(all_4_151) & $i(all_4_160)
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | ALPHA: (416) implies:
% 32.42/5.30 | | | | | | | | (417) ~ (all_4_52 = all_4_53)
% 32.42/5.30 | | | | | | | | (418) op(e2, e3) = all_4_151
% 32.42/5.30 | | | | | | | | (419) op(e2, all_4_160) = all_4_52
% 32.42/5.30 | | | | | | | | (420) op(e3, e3) = all_4_160
% 32.42/5.30 | | | | | | | | (421) op(all_4_151, e3) = all_4_53
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.42/5.30 | | | | | | | | simplifying with (15), (418) gives:
% 32.42/5.30 | | | | | | | | (422) all_4_151 = e1
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 32.42/5.30 | | | | | | | | simplifying with (19), (420) gives:
% 32.42/5.30 | | | | | | | | (423) all_4_160 = e0
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | REDUCE: (421), (422) imply:
% 32.42/5.30 | | | | | | | | (424) op(e1, e3) = all_4_53
% 32.42/5.30 | | | | | | | |
% 32.42/5.30 | | | | | | | | REDUCE: (419), (423) imply:
% 32.42/5.30 | | | | | | | | (425) op(e2, e0) = all_4_52
% 32.42/5.30 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_53, e3, e1,
% 32.42/5.31 | | | | | | | | simplifying with (7), (424) gives:
% 32.42/5.31 | | | | | | | | (426) all_4_53 = e2
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_52, e0, e2,
% 32.42/5.31 | | | | | | | | simplifying with (13), (425) gives:
% 32.42/5.31 | | | | | | | | (427) all_4_52 = e2
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (417), (426), (427) imply:
% 32.42/5.31 | | | | | | | | (428) $false
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | CLOSE: (428) is inconsistent.
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | End of split
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | End of split
% 32.42/5.31 | | | | | |
% 32.42/5.31 | | | | | End of split
% 32.42/5.31 | | | | |
% 32.42/5.31 | | | | End of split
% 32.42/5.31 | | | |
% 32.42/5.31 | | | Case 2:
% 32.42/5.31 | | | |
% 32.42/5.31 | | | | (429) ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 &
% 32.42/5.31 | | | | op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 &
% 32.42/5.31 | | | | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) &
% 32.42/5.31 | | | | $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57) &
% 32.42/5.31 | | | | op(all_4_151, e1) = all_4_57 & op(e3, e1) = all_4_149 &
% 32.42/5.31 | | | | op(e2, all_4_149) = all_4_56 & op(e2, e3) = all_4_151 &
% 32.42/5.31 | | | | $i(all_4_56) & $i(all_4_57) & $i(all_4_149) & $i(all_4_151))
% 32.42/5.31 | | | | | ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = all_4_59 &
% 32.42/5.31 | | | | op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 &
% 32.42/5.31 | | | | op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) &
% 32.42/5.31 | | | | $i(all_4_150) & $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) &
% 32.42/5.31 | | | | op(all_4_161, e3) = all_4_61 & op(e2, all_4_151) = all_4_60 &
% 32.42/5.31 | | | | op(e2, e3) = all_4_151 & op(e2, e2) = all_4_161 &
% 32.42/5.31 | | | | $i(all_4_60) & $i(all_4_61) & $i(all_4_151) & $i(all_4_161))
% 32.42/5.31 | | | | | ( ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63 &
% 32.42/5.31 | | | | op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 &
% 32.42/5.31 | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~ (all_4_64
% 32.42/5.31 | | | | = all_4_65) & op(all_4_161, e1) = all_4_65 & op(e2,
% 32.42/5.31 | | | | all_4_152) = all_4_64 & op(e2, e2) = all_4_161 & op(e2, e1)
% 32.42/5.31 | | | | = all_4_152 & $i(all_4_64) & $i(all_4_65) & $i(all_4_152) &
% 32.42/5.31 | | | | $i(all_4_161)) | ( ~ (all_4_66 = all_4_67) & op(all_4_161,
% 32.42/5.31 | | | | e0) = all_4_67 & op(e2, all_4_153) = all_4_66 & op(e2, e2)
% 32.42/5.31 | | | | = all_4_161 & op(e2, e0) = all_4_153 & $i(all_4_66) &
% 32.42/5.31 | | | | $i(all_4_67) & $i(all_4_153) & $i(all_4_161)) | ( ~ (all_4_68
% 32.42/5.31 | | | | = all_4_69) & op(all_4_152, e3) = all_4_69 & op(e2,
% 32.42/5.31 | | | | all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & op(e1, e3)
% 32.42/5.31 | | | | = all_4_154 & $i(all_4_68) & $i(all_4_69) & $i(all_4_152) &
% 32.42/5.31 | | | | $i(all_4_154)) | ( ~ (all_4_70 = all_4_71) & op(all_4_152,
% 32.42/5.31 | | | | e2) = all_4_71 & op(e2, all_4_155) = all_4_70 & op(e2, e1)
% 32.42/5.31 | | | | = all_4_152 & op(e1, e2) = all_4_155 & $i(all_4_70) &
% 32.42/5.31 | | | | $i(all_4_71) & $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_72
% 32.42/5.31 | | | | = all_4_73) & op(all_4_152, e1) = all_4_73 & op(e2,
% 32.42/5.31 | | | | all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & op(e1, e1)
% 32.42/5.31 | | | | = all_4_162 & $i(all_4_72) & $i(all_4_73) & $i(all_4_152) &
% 32.42/5.31 | | | | $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & op(all_4_152,
% 32.42/5.31 | | | | e0) = all_4_75 & op(e2, all_4_156) = all_4_74 & op(e2, e1)
% 32.42/5.31 | | | | = all_4_152 & op(e1, e0) = all_4_156 & $i(all_4_74) &
% 32.42/5.31 | | | | $i(all_4_75) & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76
% 32.42/5.31 | | | | = all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2,
% 32.42/5.31 | | | | all_4_157) = all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3)
% 32.42/5.31 | | | | = all_4_157 & $i(all_4_76) & $i(all_4_77) & $i(all_4_153) &
% 32.42/5.31 | | | | $i(all_4_157)) | ( ~ (all_4_78 = all_4_79) & op(all_4_153,
% 32.42/5.31 | | | | e2) = all_4_79 & op(e2, all_4_158) = all_4_78 & op(e2, e0)
% 32.42/5.31 | | | | = all_4_153 & op(e0, e2) = all_4_158 & $i(all_4_78) &
% 32.42/5.31 | | | | $i(all_4_79) & $i(all_4_153) & $i(all_4_158))
% 32.42/5.31 | | | |
% 32.42/5.31 | | | | BETA: splitting (429) gives:
% 32.42/5.31 | | | |
% 32.42/5.31 | | | | Case 1:
% 32.42/5.31 | | | | |
% 32.42/5.31 | | | | | (430) ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 &
% 32.42/5.31 | | | | | op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 &
% 32.42/5.31 | | | | | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) &
% 32.42/5.31 | | | | | $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57)
% 32.42/5.31 | | | | | & op(all_4_151, e1) = all_4_57 & op(e3, e1) = all_4_149 &
% 32.42/5.31 | | | | | op(e2, all_4_149) = all_4_56 & op(e2, e3) = all_4_151 &
% 32.42/5.31 | | | | | $i(all_4_56) & $i(all_4_57) & $i(all_4_149) &
% 32.42/5.31 | | | | | $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & op(all_4_151,
% 32.42/5.31 | | | | | e0) = all_4_59 & op(e3, e0) = all_4_150 & op(e2,
% 32.42/5.31 | | | | | all_4_150) = all_4_58 & op(e2, e3) = all_4_151 &
% 32.42/5.31 | | | | | $i(all_4_58) & $i(all_4_59) & $i(all_4_150) &
% 32.42/5.31 | | | | | $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161,
% 32.42/5.31 | | | | | e3) = all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2,
% 32.42/5.31 | | | | | e3) = all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) &
% 32.42/5.31 | | | | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~
% 32.42/5.31 | | | | | (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63 &
% 32.42/5.31 | | | | | op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 &
% 32.42/5.31 | | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~
% 32.42/5.31 | | | | | (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 &
% 32.42/5.31 | | | | | op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 &
% 32.42/5.31 | | | | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) &
% 32.42/5.31 | | | | | $i(all_4_152) & $i(all_4_161))
% 32.42/5.31 | | | | |
% 32.42/5.31 | | | | | BETA: splitting (430) gives:
% 32.42/5.31 | | | | |
% 32.42/5.31 | | | | | Case 1:
% 32.42/5.31 | | | | | |
% 32.42/5.31 | | | | | | (431) ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 &
% 32.42/5.31 | | | | | | op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 &
% 32.42/5.31 | | | | | | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) &
% 32.42/5.31 | | | | | | $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_56 =
% 32.42/5.31 | | | | | | all_4_57) & op(all_4_151, e1) = all_4_57 & op(e3, e1) =
% 32.42/5.31 | | | | | | all_4_149 & op(e2, all_4_149) = all_4_56 & op(e2, e3) =
% 32.42/5.31 | | | | | | all_4_151 & $i(all_4_56) & $i(all_4_57) & $i(all_4_149) &
% 32.42/5.31 | | | | | | $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) &
% 32.42/5.31 | | | | | | op(all_4_151, e0) = all_4_59 & op(e3, e0) = all_4_150 &
% 32.42/5.31 | | | | | | op(e2, all_4_150) = all_4_58 & op(e2, e3) = all_4_151 &
% 32.42/5.31 | | | | | | $i(all_4_58) & $i(all_4_59) & $i(all_4_150) &
% 32.42/5.31 | | | | | | $i(all_4_151))
% 32.42/5.31 | | | | | |
% 32.42/5.31 | | | | | | BETA: splitting (431) gives:
% 32.42/5.31 | | | | | |
% 32.42/5.31 | | | | | | Case 1:
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | (432) ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 &
% 32.42/5.31 | | | | | | | op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 &
% 32.42/5.31 | | | | | | | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) &
% 32.42/5.31 | | | | | | | $i(all_4_148) & $i(all_4_151)
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | ALPHA: (432) implies:
% 32.42/5.31 | | | | | | | (433) ~ (all_4_54 = all_4_55)
% 32.42/5.31 | | | | | | | (434) op(e2, e3) = all_4_151
% 32.42/5.31 | | | | | | | (435) op(e2, all_4_148) = all_4_54
% 32.42/5.31 | | | | | | | (436) op(e3, e2) = all_4_148
% 32.42/5.31 | | | | | | | (437) op(all_4_151, e2) = all_4_55
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.42/5.31 | | | | | | | simplifying with (15), (434) gives:
% 32.42/5.31 | | | | | | | (438) all_4_151 = e1
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 32.42/5.31 | | | | | | | simplifying with (18), (436) gives:
% 32.42/5.31 | | | | | | | (439) all_4_148 = e1
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | REDUCE: (437), (438) imply:
% 32.42/5.31 | | | | | | | (440) op(e1, e2) = all_4_55
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | REDUCE: (435), (439) imply:
% 32.42/5.31 | | | | | | | (441) op(e2, e1) = all_4_54
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_55, e2, e1,
% 32.42/5.31 | | | | | | | simplifying with (6), (440) gives:
% 32.42/5.31 | | | | | | | (442) all_4_55 = e0
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_54, e1, e2,
% 32.42/5.31 | | | | | | | simplifying with (12), (441) gives:
% 32.42/5.31 | | | | | | | (443) all_4_54 = e0
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | REDUCE: (433), (442), (443) imply:
% 32.42/5.31 | | | | | | | (444) $false
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | CLOSE: (444) is inconsistent.
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | Case 2:
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | (445) ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57
% 32.42/5.31 | | | | | | | & op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56
% 32.42/5.31 | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57)
% 32.42/5.31 | | | | | | | & $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58 =
% 32.42/5.31 | | | | | | | all_4_59) & op(all_4_151, e0) = all_4_59 & op(e3, e0)
% 32.42/5.31 | | | | | | | = all_4_150 & op(e2, all_4_150) = all_4_58 & op(e2, e3)
% 32.42/5.31 | | | | | | | = all_4_151 & $i(all_4_58) & $i(all_4_59) &
% 32.42/5.31 | | | | | | | $i(all_4_150) & $i(all_4_151))
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | BETA: splitting (445) gives:
% 32.42/5.31 | | | | | | |
% 32.42/5.31 | | | | | | | Case 1:
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | (446) ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57
% 32.42/5.31 | | | | | | | | & op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56
% 32.42/5.31 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57)
% 32.42/5.31 | | | | | | | | & $i(all_4_149) & $i(all_4_151)
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | ALPHA: (446) implies:
% 32.42/5.31 | | | | | | | | (447) ~ (all_4_56 = all_4_57)
% 32.42/5.31 | | | | | | | | (448) op(e2, e3) = all_4_151
% 32.42/5.31 | | | | | | | | (449) op(e2, all_4_149) = all_4_56
% 32.42/5.31 | | | | | | | | (450) op(e3, e1) = all_4_149
% 32.42/5.31 | | | | | | | | (451) op(all_4_151, e1) = all_4_57
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.42/5.31 | | | | | | | | simplifying with (15), (448) gives:
% 32.42/5.31 | | | | | | | | (452) all_4_151 = e1
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.42/5.31 | | | | | | | | simplifying with (16), (450) gives:
% 32.42/5.31 | | | | | | | | (453) all_4_149 = e2
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (451), (452) imply:
% 32.42/5.31 | | | | | | | | (454) op(e1, e1) = all_4_57
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (449), (453) imply:
% 32.42/5.31 | | | | | | | | (455) op(e2, e2) = all_4_56
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_57, e1, e1,
% 32.42/5.31 | | | | | | | | simplifying with (4), (454) gives:
% 32.42/5.31 | | | | | | | | (456) all_4_57 = e3
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_56, e2, e2,
% 32.42/5.31 | | | | | | | | simplifying with (14), (455) gives:
% 32.42/5.31 | | | | | | | | (457) all_4_56 = e3
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (447), (456), (457) imply:
% 32.42/5.31 | | | | | | | | (458) $false
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | CLOSE: (458) is inconsistent.
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | Case 2:
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | (459) ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = all_4_59
% 32.42/5.31 | | | | | | | | & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58
% 32.42/5.31 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59)
% 32.42/5.31 | | | | | | | | & $i(all_4_150) & $i(all_4_151)
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | ALPHA: (459) implies:
% 32.42/5.31 | | | | | | | | (460) ~ (all_4_58 = all_4_59)
% 32.42/5.31 | | | | | | | | (461) op(e2, e3) = all_4_151
% 32.42/5.31 | | | | | | | | (462) op(e2, all_4_150) = all_4_58
% 32.42/5.31 | | | | | | | | (463) op(e3, e0) = all_4_150
% 32.42/5.31 | | | | | | | | (464) op(all_4_151, e0) = all_4_59
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.42/5.31 | | | | | | | | simplifying with (15), (461) gives:
% 32.42/5.31 | | | | | | | | (465) all_4_151 = e1
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.42/5.31 | | | | | | | | simplifying with (17), (463) gives:
% 32.42/5.31 | | | | | | | | (466) all_4_150 = e3
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (464), (465) imply:
% 32.42/5.31 | | | | | | | | (467) op(e1, e0) = all_4_59
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | REDUCE: (462), (466) imply:
% 32.42/5.31 | | | | | | | | (468) op(e2, e3) = all_4_58
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_59, e0, e1,
% 32.42/5.31 | | | | | | | | simplifying with (5), (467) gives:
% 32.42/5.31 | | | | | | | | (469) all_4_59 = e1
% 32.42/5.31 | | | | | | | |
% 32.42/5.31 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_58, e3, e2,
% 32.42/5.31 | | | | | | | | simplifying with (15), (468) gives:
% 32.42/5.32 | | | | | | | | (470) all_4_58 = e1
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (460), (469), (470) imply:
% 32.42/5.32 | | | | | | | | (471) $false
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | CLOSE: (471) is inconsistent.
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | End of split
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | End of split
% 32.42/5.32 | | | | | |
% 32.42/5.32 | | | | | Case 2:
% 32.42/5.32 | | | | | |
% 32.42/5.32 | | | | | | (472) ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3) = all_4_61 &
% 32.42/5.32 | | | | | | op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 &
% 32.42/5.32 | | | | | | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) &
% 32.42/5.32 | | | | | | $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 =
% 32.42/5.32 | | | | | | all_4_63) & op(all_4_161, e2) = all_4_63 & op(e2,
% 32.42/5.32 | | | | | | all_4_161) = all_4_62 & op(e2, e2) = all_4_161 &
% 32.42/5.32 | | | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~
% 32.42/5.32 | | | | | | (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 &
% 32.42/5.32 | | | | | | op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 &
% 32.42/5.32 | | | | | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) &
% 32.42/5.32 | | | | | | $i(all_4_152) & $i(all_4_161))
% 32.42/5.32 | | | | | |
% 32.42/5.32 | | | | | | BETA: splitting (472) gives:
% 32.42/5.32 | | | | | |
% 32.42/5.32 | | | | | | Case 1:
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | (473) ~ (all_4_60 = all_4_61) & op(all_4_161, e3) = all_4_61 &
% 32.42/5.32 | | | | | | | op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 &
% 32.42/5.32 | | | | | | | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) &
% 32.42/5.32 | | | | | | | $i(all_4_151) & $i(all_4_161)
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | ALPHA: (473) implies:
% 32.42/5.32 | | | | | | | (474) ~ (all_4_60 = all_4_61)
% 32.42/5.32 | | | | | | | (475) op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | (476) op(e2, e3) = all_4_151
% 32.42/5.32 | | | | | | | (477) op(e2, all_4_151) = all_4_60
% 32.42/5.32 | | | | | | | (478) op(all_4_161, e3) = all_4_61
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.42/5.32 | | | | | | | simplifying with (14), (475) gives:
% 32.42/5.32 | | | | | | | (479) all_4_161 = e3
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.42/5.32 | | | | | | | simplifying with (15), (476) gives:
% 32.42/5.32 | | | | | | | (480) all_4_151 = e1
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | REDUCE: (478), (479) imply:
% 32.42/5.32 | | | | | | | (481) op(e3, e3) = all_4_61
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | REDUCE: (477), (480) imply:
% 32.42/5.32 | | | | | | | (482) op(e2, e1) = all_4_60
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_60, e1, e2,
% 32.42/5.32 | | | | | | | simplifying with (12), (482) gives:
% 32.42/5.32 | | | | | | | (483) all_4_60 = e0
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_61, e3, e3,
% 32.42/5.32 | | | | | | | simplifying with (19), (481) gives:
% 32.42/5.32 | | | | | | | (484) all_4_61 = e0
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | REDUCE: (474), (483), (484) imply:
% 32.42/5.32 | | | | | | | (485) $false
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | CLOSE: (485) is inconsistent.
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | Case 2:
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | (486) ( ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63
% 32.42/5.32 | | | | | | | & op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | & $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~
% 32.42/5.32 | | | | | | | (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 &
% 32.42/5.32 | | | | | | | op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 &
% 32.42/5.32 | | | | | | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) &
% 32.42/5.32 | | | | | | | $i(all_4_152) & $i(all_4_161))
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | BETA: splitting (486) gives:
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | | Case 1:
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | (487) ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63
% 32.42/5.32 | | | | | | | | & op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | | & $i(all_4_62) & $i(all_4_63) & $i(all_4_161)
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | ALPHA: (487) implies:
% 32.42/5.32 | | | | | | | | (488) ~ (all_4_62 = all_4_63)
% 32.42/5.32 | | | | | | | | (489) op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | | (490) op(e2, all_4_161) = all_4_62
% 32.42/5.32 | | | | | | | | (491) op(all_4_161, e2) = all_4_63
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.42/5.32 | | | | | | | | simplifying with (14), (489) gives:
% 32.42/5.32 | | | | | | | | (492) all_4_161 = e3
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (491), (492) imply:
% 32.42/5.32 | | | | | | | | (493) op(e3, e2) = all_4_63
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (490), (492) imply:
% 32.42/5.32 | | | | | | | | (494) op(e2, e3) = all_4_62
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_62, e3, e2,
% 32.42/5.32 | | | | | | | | simplifying with (15), (494) gives:
% 32.42/5.32 | | | | | | | | (495) all_4_62 = e1
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_63, e2, e3,
% 32.42/5.32 | | | | | | | | simplifying with (18), (493) gives:
% 32.42/5.32 | | | | | | | | (496) all_4_63 = e1
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (488), (495), (496) imply:
% 32.42/5.32 | | | | | | | | (497) $false
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | CLOSE: (497) is inconsistent.
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | Case 2:
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | (498) ~ (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65
% 32.42/5.32 | | | | | | | | & op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65)
% 32.42/5.32 | | | | | | | | & $i(all_4_152) & $i(all_4_161)
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | ALPHA: (498) implies:
% 32.42/5.32 | | | | | | | | (499) ~ (all_4_64 = all_4_65)
% 32.42/5.32 | | | | | | | | (500) op(e2, e1) = all_4_152
% 32.42/5.32 | | | | | | | | (501) op(e2, e2) = all_4_161
% 32.42/5.32 | | | | | | | | (502) op(e2, all_4_152) = all_4_64
% 32.42/5.32 | | | | | | | | (503) op(all_4_161, e1) = all_4_65
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.42/5.32 | | | | | | | | simplifying with (12), (500) gives:
% 32.42/5.32 | | | | | | | | (504) all_4_152 = e0
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.42/5.32 | | | | | | | | simplifying with (14), (501) gives:
% 32.42/5.32 | | | | | | | | (505) all_4_161 = e3
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (503), (505) imply:
% 32.42/5.32 | | | | | | | | (506) op(e3, e1) = all_4_65
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (502), (504) imply:
% 32.42/5.32 | | | | | | | | (507) op(e2, e0) = all_4_64
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_64, e0, e2,
% 32.42/5.32 | | | | | | | | simplifying with (13), (507) gives:
% 32.42/5.32 | | | | | | | | (508) all_4_64 = e2
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_65, e1, e3,
% 32.42/5.32 | | | | | | | | simplifying with (16), (506) gives:
% 32.42/5.32 | | | | | | | | (509) all_4_65 = e2
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | REDUCE: (499), (508), (509) imply:
% 32.42/5.32 | | | | | | | | (510) $false
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | | CLOSE: (510) is inconsistent.
% 32.42/5.32 | | | | | | | |
% 32.42/5.32 | | | | | | | End of split
% 32.42/5.32 | | | | | | |
% 32.42/5.32 | | | | | | End of split
% 32.42/5.32 | | | | | |
% 32.42/5.32 | | | | | End of split
% 32.42/5.32 | | | | |
% 32.42/5.32 | | | | Case 2:
% 32.42/5.32 | | | | |
% 32.42/5.33 | | | | | (511) ( ~ (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 &
% 32.42/5.33 | | | | | op(e2, all_4_153) = all_4_66 & op(e2, e2) = all_4_161 &
% 32.42/5.33 | | | | | op(e2, e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) &
% 32.42/5.33 | | | | | $i(all_4_153) & $i(all_4_161)) | ( ~ (all_4_68 = all_4_69)
% 32.42/5.33 | | | | | & op(all_4_152, e3) = all_4_69 & op(e2, all_4_154) =
% 32.42/5.33 | | | | | all_4_68 & op(e2, e1) = all_4_152 & op(e1, e3) = all_4_154
% 32.42/5.33 | | | | | & $i(all_4_68) & $i(all_4_69) & $i(all_4_152) &
% 32.42/5.33 | | | | | $i(all_4_154)) | ( ~ (all_4_70 = all_4_71) & op(all_4_152,
% 32.42/5.33 | | | | | e2) = all_4_71 & op(e2, all_4_155) = all_4_70 & op(e2,
% 32.42/5.33 | | | | | e1) = all_4_152 & op(e1, e2) = all_4_155 & $i(all_4_70) &
% 32.42/5.33 | | | | | $i(all_4_71) & $i(all_4_152) & $i(all_4_155)) | ( ~
% 32.42/5.33 | | | | | (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73 &
% 32.42/5.33 | | | | | op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 &
% 32.42/5.33 | | | | | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) &
% 32.42/5.33 | | | | | $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 = all_4_75)
% 32.42/5.33 | | | | | & op(all_4_152, e0) = all_4_75 & op(e2, all_4_156) =
% 32.42/5.33 | | | | | all_4_74 & op(e2, e1) = all_4_152 & op(e1, e0) = all_4_156
% 32.42/5.33 | | | | | & $i(all_4_74) & $i(all_4_75) & $i(all_4_152) &
% 32.42/5.33 | | | | | $i(all_4_156)) | ( ~ (all_4_76 = all_4_77) & op(all_4_153,
% 32.42/5.33 | | | | | e3) = all_4_77 & op(e2, all_4_157) = all_4_76 & op(e2,
% 32.42/5.33 | | | | | e0) = all_4_153 & op(e0, e3) = all_4_157 & $i(all_4_76) &
% 32.42/5.33 | | | | | $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) | ( ~
% 32.42/5.33 | | | | | (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 &
% 32.42/5.33 | | | | | op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153 &
% 32.42/5.33 | | | | | op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) &
% 32.42/5.33 | | | | | $i(all_4_153) & $i(all_4_158))
% 32.42/5.33 | | | | |
% 32.42/5.33 | | | | | BETA: splitting (511) gives:
% 32.42/5.33 | | | | |
% 32.42/5.33 | | | | | Case 1:
% 32.42/5.33 | | | | | |
% 32.42/5.33 | | | | | | (512) ( ~ (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 &
% 32.42/5.33 | | | | | | op(e2, all_4_153) = all_4_66 & op(e2, e2) = all_4_161 &
% 32.42/5.33 | | | | | | op(e2, e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) &
% 32.42/5.33 | | | | | | $i(all_4_153) & $i(all_4_161)) | ( ~ (all_4_68 =
% 32.42/5.33 | | | | | | all_4_69) & op(all_4_152, e3) = all_4_69 & op(e2,
% 32.42/5.33 | | | | | | all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & op(e1,
% 32.42/5.33 | | | | | | e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) &
% 32.42/5.33 | | | | | | $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 =
% 32.42/5.33 | | | | | | all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2,
% 32.42/5.33 | | | | | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & op(e1,
% 32.42/5.33 | | | | | | e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) &
% 32.42/5.33 | | | | | | $i(all_4_152) & $i(all_4_155))
% 32.42/5.33 | | | | | |
% 32.42/5.33 | | | | | | BETA: splitting (512) gives:
% 32.42/5.33 | | | | | |
% 32.42/5.33 | | | | | | Case 1:
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | (513) ~ (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 &
% 32.42/5.33 | | | | | | | op(e2, all_4_153) = all_4_66 & op(e2, e2) = all_4_161 &
% 32.42/5.33 | | | | | | | op(e2, e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) &
% 32.42/5.33 | | | | | | | $i(all_4_153) & $i(all_4_161)
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | ALPHA: (513) implies:
% 32.42/5.33 | | | | | | | (514) ~ (all_4_66 = all_4_67)
% 32.42/5.33 | | | | | | | (515) op(e2, e0) = all_4_153
% 32.42/5.33 | | | | | | | (516) op(e2, e2) = all_4_161
% 32.42/5.33 | | | | | | | (517) op(e2, all_4_153) = all_4_66
% 32.42/5.33 | | | | | | | (518) op(all_4_161, e0) = all_4_67
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.42/5.33 | | | | | | | simplifying with (13), (515) gives:
% 32.42/5.33 | | | | | | | (519) all_4_153 = e2
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.42/5.33 | | | | | | | simplifying with (14), (516) gives:
% 32.42/5.33 | | | | | | | (520) all_4_161 = e3
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | REDUCE: (518), (520) imply:
% 32.42/5.33 | | | | | | | (521) op(e3, e0) = all_4_67
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | REDUCE: (517), (519) imply:
% 32.42/5.33 | | | | | | | (522) op(e2, e2) = all_4_66
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_66, e2, e2,
% 32.42/5.33 | | | | | | | simplifying with (14), (522) gives:
% 32.42/5.33 | | | | | | | (523) all_4_66 = e3
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_67, e0, e3,
% 32.42/5.33 | | | | | | | simplifying with (17), (521) gives:
% 32.42/5.33 | | | | | | | (524) all_4_67 = e3
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | REDUCE: (514), (523), (524) imply:
% 32.42/5.33 | | | | | | | (525) $false
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | CLOSE: (525) is inconsistent.
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | Case 2:
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | (526) ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = all_4_69
% 32.42/5.33 | | | | | | | & op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152
% 32.42/5.33 | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69)
% 32.42/5.33 | | | | | | | & $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 =
% 32.42/5.33 | | | | | | | all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2,
% 32.42/5.33 | | | | | | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 &
% 32.42/5.33 | | | | | | | op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) &
% 32.42/5.33 | | | | | | | $i(all_4_152) & $i(all_4_155))
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | BETA: splitting (526) gives:
% 32.42/5.33 | | | | | | |
% 32.42/5.33 | | | | | | | Case 1:
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | (527) ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = all_4_69
% 32.42/5.33 | | | | | | | | & op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152
% 32.42/5.33 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69)
% 32.42/5.33 | | | | | | | | & $i(all_4_152) & $i(all_4_154)
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | ALPHA: (527) implies:
% 32.42/5.33 | | | | | | | | (528) ~ (all_4_68 = all_4_69)
% 32.42/5.33 | | | | | | | | (529) op(e1, e3) = all_4_154
% 32.42/5.33 | | | | | | | | (530) op(e2, e1) = all_4_152
% 32.42/5.33 | | | | | | | | (531) op(e2, all_4_154) = all_4_68
% 32.42/5.33 | | | | | | | | (532) op(all_4_152, e3) = all_4_69
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.42/5.33 | | | | | | | | simplifying with (7), (529) gives:
% 32.42/5.33 | | | | | | | | (533) all_4_154 = e2
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.42/5.33 | | | | | | | | simplifying with (12), (530) gives:
% 32.42/5.33 | | | | | | | | (534) all_4_152 = e0
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | REDUCE: (532), (534) imply:
% 32.42/5.33 | | | | | | | | (535) op(e0, e3) = all_4_69
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | REDUCE: (531), (533) imply:
% 32.42/5.33 | | | | | | | | (536) op(e2, e2) = all_4_68
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_69, e3, e0,
% 32.42/5.33 | | | | | | | | simplifying with (11), (535) gives:
% 32.42/5.33 | | | | | | | | (537) all_4_69 = e3
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_68, e2, e2,
% 32.42/5.33 | | | | | | | | simplifying with (14), (536) gives:
% 32.42/5.33 | | | | | | | | (538) all_4_68 = e3
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | REDUCE: (528), (537), (538) imply:
% 32.42/5.33 | | | | | | | | (539) $false
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | CLOSE: (539) is inconsistent.
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | Case 2:
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | (540) ~ (all_4_70 = all_4_71) & op(all_4_152, e2) = all_4_71
% 32.42/5.33 | | | | | | | | & op(e2, all_4_155) = all_4_70 & op(e2, e1) = all_4_152
% 32.42/5.33 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71)
% 32.42/5.33 | | | | | | | | & $i(all_4_152) & $i(all_4_155)
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | ALPHA: (540) implies:
% 32.42/5.33 | | | | | | | | (541) ~ (all_4_70 = all_4_71)
% 32.42/5.33 | | | | | | | | (542) op(e1, e2) = all_4_155
% 32.42/5.33 | | | | | | | | (543) op(e2, e1) = all_4_152
% 32.42/5.33 | | | | | | | | (544) op(e2, all_4_155) = all_4_70
% 32.42/5.33 | | | | | | | | (545) op(all_4_152, e2) = all_4_71
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.42/5.33 | | | | | | | | simplifying with (6), (542) gives:
% 32.42/5.33 | | | | | | | | (546) all_4_155 = e0
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.42/5.33 | | | | | | | | simplifying with (12), (543) gives:
% 32.42/5.33 | | | | | | | | (547) all_4_152 = e0
% 32.42/5.33 | | | | | | | |
% 32.42/5.33 | | | | | | | | REDUCE: (545), (547) imply:
% 32.42/5.33 | | | | | | | | (548) op(e0, e2) = all_4_71
% 32.42/5.33 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (544), (546) imply:
% 32.42/5.34 | | | | | | | | (549) op(e2, e0) = all_4_70
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_71, e2, e0,
% 32.42/5.34 | | | | | | | | simplifying with (10), (548) gives:
% 32.42/5.34 | | | | | | | | (550) all_4_71 = e2
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_70, e0, e2,
% 32.42/5.34 | | | | | | | | simplifying with (13), (549) gives:
% 32.42/5.34 | | | | | | | | (551) all_4_70 = e2
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (541), (550), (551) imply:
% 32.42/5.34 | | | | | | | | (552) $false
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | CLOSE: (552) is inconsistent.
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | End of split
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | End of split
% 32.42/5.34 | | | | | |
% 32.42/5.34 | | | | | Case 2:
% 32.42/5.34 | | | | | |
% 32.42/5.34 | | | | | | (553) ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73 &
% 32.42/5.34 | | | | | | op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 &
% 32.42/5.34 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) &
% 32.42/5.34 | | | | | | $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 =
% 32.42/5.34 | | | | | | all_4_75) & op(all_4_152, e0) = all_4_75 & op(e2,
% 32.42/5.34 | | | | | | all_4_156) = all_4_74 & op(e2, e1) = all_4_152 & op(e1,
% 32.42/5.34 | | | | | | e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) &
% 32.42/5.34 | | | | | | $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 =
% 32.42/5.34 | | | | | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2,
% 32.42/5.34 | | | | | | all_4_157) = all_4_76 & op(e2, e0) = all_4_153 & op(e0,
% 32.42/5.34 | | | | | | e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) &
% 32.42/5.34 | | | | | | $i(all_4_153) & $i(all_4_157)) | ( ~ (all_4_78 =
% 32.42/5.34 | | | | | | all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2,
% 32.42/5.34 | | | | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0,
% 32.42/5.34 | | | | | | e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) &
% 32.42/5.34 | | | | | | $i(all_4_153) & $i(all_4_158))
% 32.42/5.34 | | | | | |
% 32.42/5.34 | | | | | | BETA: splitting (553) gives:
% 32.42/5.34 | | | | | |
% 32.42/5.34 | | | | | | Case 1:
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | (554) ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73
% 32.42/5.34 | | | | | | | & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152
% 32.42/5.34 | | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73)
% 32.42/5.34 | | | | | | | & $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 =
% 32.42/5.34 | | | | | | | all_4_75) & op(all_4_152, e0) = all_4_75 & op(e2,
% 32.42/5.34 | | | | | | | all_4_156) = all_4_74 & op(e2, e1) = all_4_152 &
% 32.42/5.34 | | | | | | | op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) &
% 32.42/5.34 | | | | | | | $i(all_4_152) & $i(all_4_156))
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | BETA: splitting (554) gives:
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | Case 1:
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | (555) ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73
% 32.42/5.34 | | | | | | | | & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152
% 32.42/5.34 | | | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73)
% 32.42/5.34 | | | | | | | | & $i(all_4_152) & $i(all_4_162)
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | ALPHA: (555) implies:
% 32.42/5.34 | | | | | | | | (556) ~ (all_4_72 = all_4_73)
% 32.42/5.34 | | | | | | | | (557) op(e1, e1) = all_4_162
% 32.42/5.34 | | | | | | | | (558) op(e2, e1) = all_4_152
% 32.42/5.34 | | | | | | | | (559) op(e2, all_4_162) = all_4_72
% 32.42/5.34 | | | | | | | | (560) op(all_4_152, e1) = all_4_73
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 32.42/5.34 | | | | | | | | simplifying with (4), (557) gives:
% 32.42/5.34 | | | | | | | | (561) all_4_162 = e3
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.42/5.34 | | | | | | | | simplifying with (12), (558) gives:
% 32.42/5.34 | | | | | | | | (562) all_4_152 = e0
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (560), (562) imply:
% 32.42/5.34 | | | | | | | | (563) op(e0, e1) = all_4_73
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (559), (561) imply:
% 32.42/5.34 | | | | | | | | (564) op(e2, e3) = all_4_72
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_73, e1, e0,
% 32.42/5.34 | | | | | | | | simplifying with (8), (563) gives:
% 32.42/5.34 | | | | | | | | (565) all_4_73 = e1
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_72, e3, e2,
% 32.42/5.34 | | | | | | | | simplifying with (15), (564) gives:
% 32.42/5.34 | | | | | | | | (566) all_4_72 = e1
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (556), (565), (566) imply:
% 32.42/5.34 | | | | | | | | (567) $false
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | CLOSE: (567) is inconsistent.
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | Case 2:
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | (568) ~ (all_4_74 = all_4_75) & op(all_4_152, e0) = all_4_75
% 32.42/5.34 | | | | | | | | & op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152
% 32.42/5.34 | | | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75)
% 32.42/5.34 | | | | | | | | & $i(all_4_152) & $i(all_4_156)
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | ALPHA: (568) implies:
% 32.42/5.34 | | | | | | | | (569) ~ (all_4_74 = all_4_75)
% 32.42/5.34 | | | | | | | | (570) op(e1, e0) = all_4_156
% 32.42/5.34 | | | | | | | | (571) op(e2, e1) = all_4_152
% 32.42/5.34 | | | | | | | | (572) op(e2, all_4_156) = all_4_74
% 32.42/5.34 | | | | | | | | (573) op(all_4_152, e0) = all_4_75
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 32.42/5.34 | | | | | | | | simplifying with (5), (570) gives:
% 32.42/5.34 | | | | | | | | (574) all_4_156 = e1
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.42/5.34 | | | | | | | | simplifying with (12), (571) gives:
% 32.42/5.34 | | | | | | | | (575) all_4_152 = e0
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (573), (575) imply:
% 32.42/5.34 | | | | | | | | (576) op(e0, e0) = all_4_75
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (572), (574) imply:
% 32.42/5.34 | | | | | | | | (577) op(e2, e1) = all_4_74
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_75, e0, e0,
% 32.42/5.34 | | | | | | | | simplifying with (9), (576) gives:
% 32.42/5.34 | | | | | | | | (578) all_4_75 = e0
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_74, e1, e2,
% 32.42/5.34 | | | | | | | | simplifying with (12), (577) gives:
% 32.42/5.34 | | | | | | | | (579) all_4_74 = e0
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | REDUCE: (569), (578), (579) imply:
% 32.42/5.34 | | | | | | | | (580) $false
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | CLOSE: (580) is inconsistent.
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | End of split
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | Case 2:
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | (581) ( ~ (all_4_76 = all_4_77) & op(all_4_153, e3) = all_4_77
% 32.42/5.34 | | | | | | | & op(e2, all_4_157) = all_4_76 & op(e2, e0) = all_4_153
% 32.42/5.34 | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77)
% 32.42/5.34 | | | | | | | & $i(all_4_153) & $i(all_4_157)) | ( ~ (all_4_78 =
% 32.42/5.34 | | | | | | | all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2,
% 32.42/5.34 | | | | | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 &
% 32.42/5.34 | | | | | | | op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) &
% 32.42/5.34 | | | | | | | $i(all_4_153) & $i(all_4_158))
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | BETA: splitting (581) gives:
% 32.42/5.34 | | | | | | |
% 32.42/5.34 | | | | | | | Case 1:
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | (582) ~ (all_4_76 = all_4_77) & op(all_4_153, e3) = all_4_77
% 32.42/5.34 | | | | | | | | & op(e2, all_4_157) = all_4_76 & op(e2, e0) = all_4_153
% 32.42/5.34 | | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77)
% 32.42/5.34 | | | | | | | | & $i(all_4_153) & $i(all_4_157)
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | ALPHA: (582) implies:
% 32.42/5.34 | | | | | | | | (583) ~ (all_4_76 = all_4_77)
% 32.42/5.34 | | | | | | | | (584) op(e0, e3) = all_4_157
% 32.42/5.34 | | | | | | | | (585) op(e2, e0) = all_4_153
% 32.42/5.34 | | | | | | | | (586) op(e2, all_4_157) = all_4_76
% 32.42/5.34 | | | | | | | | (587) op(all_4_153, e3) = all_4_77
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 32.42/5.34 | | | | | | | | simplifying with (11), (584) gives:
% 32.42/5.34 | | | | | | | | (588) all_4_157 = e3
% 32.42/5.34 | | | | | | | |
% 32.42/5.34 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.42/5.34 | | | | | | | | simplifying with (13), (585) gives:
% 32.42/5.34 | | | | | | | | (589) all_4_153 = e2
% 32.42/5.34 | | | | | | | |
% 32.42/5.35 | | | | | | | | REDUCE: (587), (589) imply:
% 32.42/5.35 | | | | | | | | (590) op(e2, e3) = all_4_77
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | REDUCE: (586), (588) imply:
% 32.42/5.35 | | | | | | | | (591) op(e2, e3) = all_4_76
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_76, e3, e2,
% 32.42/5.35 | | | | | | | | simplifying with (15), (591) gives:
% 32.42/5.35 | | | | | | | | (592) all_4_76 = e1
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | GROUND_INST: instantiating (27) with all_4_77, all_4_76, e3, e2,
% 32.42/5.35 | | | | | | | | simplifying with (590), (591) gives:
% 32.42/5.35 | | | | | | | | (593) all_4_76 = all_4_77
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | COMBINE_EQS: (592), (593) imply:
% 32.42/5.35 | | | | | | | | (594) all_4_77 = e1
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | REDUCE: (583), (592), (594) imply:
% 32.42/5.35 | | | | | | | | (595) $false
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | CLOSE: (595) is inconsistent.
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | Case 2:
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | (596) ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79
% 32.42/5.35 | | | | | | | | & op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153
% 32.42/5.35 | | | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79)
% 32.42/5.35 | | | | | | | | & $i(all_4_153) & $i(all_4_158)
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | ALPHA: (596) implies:
% 32.42/5.35 | | | | | | | | (597) ~ (all_4_78 = all_4_79)
% 32.42/5.35 | | | | | | | | (598) op(e0, e2) = all_4_158
% 32.42/5.35 | | | | | | | | (599) op(e2, e0) = all_4_153
% 32.42/5.35 | | | | | | | | (600) op(e2, all_4_158) = all_4_78
% 32.42/5.35 | | | | | | | | (601) op(all_4_153, e2) = all_4_79
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 32.42/5.35 | | | | | | | | simplifying with (10), (598) gives:
% 32.42/5.35 | | | | | | | | (602) all_4_158 = e2
% 32.42/5.35 | | | | | | | |
% 32.42/5.35 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.42/5.35 | | | | | | | | simplifying with (13), (599) gives:
% 32.42/5.35 | | | | | | | | (603) all_4_153 = e2
% 32.42/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | REDUCE: (601), (603) imply:
% 32.71/5.35 | | | | | | | | (604) op(e2, e2) = all_4_79
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | REDUCE: (600), (602) imply:
% 32.71/5.35 | | | | | | | | (605) op(e2, e2) = all_4_78
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_78, e2, e2,
% 32.71/5.35 | | | | | | | | simplifying with (14), (605) gives:
% 32.71/5.35 | | | | | | | | (606) all_4_78 = e3
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | GROUND_INST: instantiating (27) with all_4_79, all_4_78, e2, e2,
% 32.71/5.35 | | | | | | | | simplifying with (604), (605) gives:
% 32.71/5.35 | | | | | | | | (607) all_4_78 = all_4_79
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | COMBINE_EQS: (606), (607) imply:
% 32.71/5.35 | | | | | | | | (608) all_4_79 = e3
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | REDUCE: (597), (606), (608) imply:
% 32.71/5.35 | | | | | | | | (609) $false
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | | CLOSE: (609) is inconsistent.
% 32.71/5.35 | | | | | | | |
% 32.71/5.35 | | | | | | | End of split
% 32.71/5.35 | | | | | | |
% 32.71/5.35 | | | | | | End of split
% 32.71/5.35 | | | | | |
% 32.71/5.35 | | | | | End of split
% 32.71/5.35 | | | | |
% 32.71/5.35 | | | | End of split
% 32.71/5.35 | | | |
% 32.71/5.35 | | | End of split
% 32.71/5.35 | | |
% 32.71/5.35 | | End of split
% 32.71/5.35 | |
% 32.71/5.35 | Case 2:
% 32.71/5.35 | |
% 32.71/5.36 | | (610) ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 & op(e2,
% 32.71/5.36 | | all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & op(e0, e1) =
% 32.71/5.36 | | all_4_159 & $i(all_4_80) & $i(all_4_81) & $i(all_4_153) &
% 32.71/5.36 | | $i(all_4_159)) | ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) =
% 32.71/5.36 | | all_4_83 & op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153
% 32.71/5.36 | | & op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) &
% 32.71/5.36 | | $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) &
% 32.71/5.36 | | op(all_4_154, e3) = all_4_85 & op(e3, e3) = all_4_160 & op(e1,
% 32.71/5.36 | | all_4_160) = all_4_84 & op(e1, e3) = all_4_154 & $i(all_4_84) &
% 32.71/5.36 | | $i(all_4_85) & $i(all_4_154) & $i(all_4_160)) | ( ~ (all_4_86 =
% 32.71/5.36 | | all_4_87) & op(all_4_154, e2) = all_4_87 & op(e3, e2) =
% 32.71/5.36 | | all_4_148 & op(e1, all_4_148) = all_4_86 & op(e1, e3) = all_4_154
% 32.71/5.36 | | & $i(all_4_86) & $i(all_4_87) & $i(all_4_148) & $i(all_4_154)) |
% 32.71/5.36 | | ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89 & op(e3,
% 32.71/5.36 | | e1) = all_4_149 & op(e1, all_4_149) = all_4_88 & op(e1, e3) =
% 32.71/5.36 | | all_4_154 & $i(all_4_88) & $i(all_4_89) & $i(all_4_149) &
% 32.71/5.36 | | $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) =
% 32.71/5.36 | | all_4_91 & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90
% 32.71/5.36 | | & op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) &
% 32.71/5.36 | | $i(all_4_150) & $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) &
% 32.71/5.36 | | op(all_4_155, e3) = all_4_93 & op(e2, e3) = all_4_151 & op(e1,
% 32.71/5.36 | | all_4_151) = all_4_92 & op(e1, e2) = all_4_155 & $i(all_4_92) &
% 32.71/5.36 | | $i(all_4_93) & $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 =
% 32.71/5.36 | | all_4_95) & op(all_4_155, e2) = all_4_95 & op(e2, e2) =
% 32.71/5.36 | | all_4_161 & op(e1, all_4_161) = all_4_94 & op(e1, e2) = all_4_155
% 32.71/5.36 | | & $i(all_4_94) & $i(all_4_95) & $i(all_4_155) & $i(all_4_161)) |
% 32.71/5.36 | | ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = all_4_97 & op(e2,
% 32.71/5.36 | | e1) = all_4_152 & op(e1, all_4_152) = all_4_96 & op(e1, e2) =
% 32.71/5.36 | | all_4_155 & $i(all_4_96) & $i(all_4_97) & $i(all_4_152) &
% 32.71/5.36 | | $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) =
% 32.71/5.36 | | all_4_99 & op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98
% 32.71/5.36 | | & op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) &
% 32.71/5.36 | | $i(all_4_153) & $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) &
% 32.71/5.36 | | op(all_4_162, e3) = all_4_101 & op(e1, all_4_154) = all_4_100 &
% 32.71/5.36 | | op(e1, e3) = all_4_154 & op(e1, e1) = all_4_162 & $i(all_4_100) &
% 32.71/5.36 | | $i(all_4_101) & $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 =
% 32.71/5.36 | | all_4_103) & op(all_4_162, e2) = all_4_103 & op(e1, all_4_155)
% 32.71/5.36 | | = all_4_102 & op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 &
% 32.71/5.36 | | $i(all_4_102) & $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) |
% 32.71/5.36 | | ( ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 &
% 32.71/5.36 | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 &
% 32.71/5.36 | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~ (all_4_106 =
% 32.71/5.36 | | all_4_107) & op(all_4_162, e0) = all_4_107 & op(e1, all_4_156)
% 32.71/5.36 | | = all_4_106 & op(e1, e0) = all_4_156 & op(e1, e1) = all_4_162 &
% 32.71/5.36 | | $i(all_4_106) & $i(all_4_107) & $i(all_4_156) & $i(all_4_162)) |
% 32.71/5.36 | | ( ~ (all_4_108 = all_4_109) & op(all_4_156, e3) = all_4_109 &
% 32.71/5.36 | | op(e0, e3) = all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1,
% 32.71/5.36 | | e0) = all_4_156 & $i(all_4_108) & $i(all_4_109) & $i(all_4_156)
% 32.71/5.36 | | & $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & op(all_4_156,
% 32.71/5.36 | | e2) = all_4_111 & op(e0, e2) = all_4_158 & op(e1, all_4_158) =
% 32.71/5.36 | | all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) &
% 32.71/5.36 | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) | ( ~ (all_4_112 =
% 32.71/5.36 | | all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1) =
% 32.71/5.36 | | all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0) =
% 32.71/5.36 | | all_4_156 & $i(all_4_112) & $i(all_4_113) & $i(all_4_156) &
% 32.71/5.36 | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & op(all_4_156, e0)
% 32.71/5.36 | | = all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163) =
% 32.71/5.36 | | all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) &
% 32.71/5.36 | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163)) | ( ~ (all_4_116 =
% 32.71/5.36 | | all_4_117) & op(all_4_157, e3) = all_4_117 & op(e3, e3) =
% 32.71/5.36 | | all_4_160 & op(e0, all_4_160) = all_4_116 & op(e0, e3) =
% 32.71/5.36 | | all_4_157 & $i(all_4_116) & $i(all_4_117) & $i(all_4_157) &
% 32.71/5.36 | | $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & op(all_4_157, e2)
% 32.71/5.36 | | = all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148) =
% 32.71/5.36 | | all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) &
% 32.71/5.36 | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 =
% 32.71/5.36 | | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) =
% 32.71/5.36 | | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) =
% 32.71/5.36 | | all_4_157 & $i(all_4_120) & $i(all_4_121) & $i(all_4_149) &
% 32.71/5.36 | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & op(all_4_157, e0)
% 32.71/5.36 | | = all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150) =
% 32.71/5.36 | | all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) &
% 32.71/5.36 | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_124 =
% 32.71/5.36 | | all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2, e3) =
% 32.71/5.36 | | all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2) =
% 32.71/5.36 | | all_4_158 & $i(all_4_124) & $i(all_4_125) & $i(all_4_151) &
% 32.71/5.36 | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158, e2)
% 32.71/5.36 | | = all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161) =
% 32.71/5.36 | | all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) &
% 32.71/5.36 | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 =
% 32.71/5.36 | | all_4_129) & op(all_4_158, e1) = all_4_129 & op(e2, e1) =
% 32.71/5.36 | | all_4_152 & op(e0, all_4_152) = all_4_128 & op(e0, e2) =
% 32.71/5.36 | | all_4_158 & $i(all_4_128) & $i(all_4_129) & $i(all_4_152) &
% 32.71/5.36 | | $i(all_4_158)) | ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0)
% 32.71/5.36 | | = all_4_131 & op(e2, e0) = all_4_153 & op(e0, all_4_153) =
% 32.71/5.36 | | all_4_130 & op(e0, e2) = all_4_158 & $i(all_4_130) &
% 32.71/5.36 | | $i(all_4_131) & $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 =
% 32.71/5.36 | | all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0, all_4_154)
% 32.71/5.36 | | = all_4_132 & op(e0, e1) = all_4_159 & op(e1, e3) = all_4_154 &
% 32.71/5.36 | | $i(all_4_132) & $i(all_4_133) & $i(all_4_154) & $i(all_4_159)) |
% 32.71/5.36 | | ( ~ (all_4_134 = all_4_135) & op(all_4_159, e2) = all_4_135 &
% 32.71/5.36 | | op(e0, all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & op(e1,
% 32.71/5.36 | | e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) & $i(all_4_155)
% 32.71/5.36 | | & $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) & op(all_4_159,
% 32.71/5.36 | | e1) = all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, e1) =
% 32.71/5.36 | | all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) &
% 32.71/5.36 | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 =
% 32.71/5.36 | | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0, all_4_156)
% 32.71/5.36 | | = all_4_138 & op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 &
% 32.71/5.36 | | $i(all_4_138) & $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) |
% 32.71/5.36 | | ( ~ (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 &
% 32.71/5.36 | | op(e0, all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0,
% 32.71/5.36 | | e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) & $i(all_4_157)
% 32.71/5.36 | | & $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & op(all_4_163,
% 32.71/5.36 | | e2) = all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) =
% 32.71/5.36 | | all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) &
% 32.71/5.36 | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 =
% 32.71/5.36 | | all_4_145) & op(all_4_163, e1) = all_4_145 & op(e0, all_4_159)
% 32.71/5.36 | | = all_4_144 & op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 &
% 32.71/5.36 | | $i(all_4_144) & $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) |
% 32.71/5.36 | | ( ~ (all_4_146 = all_4_147) & op(all_4_163, e0) = all_4_147 &
% 32.71/5.36 | | op(e0, all_4_163) = all_4_146 & op(e0, e0) = all_4_163 &
% 32.71/5.36 | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~ (all_4_148 =
% 32.71/5.36 | | e3) & ~ (all_4_148 = e2) & ~ (all_4_148 = e0) & ~ (all_4_148
% 32.71/5.36 | | = e1) & op(e3, e2) = all_4_148 & $i(all_4_148)) | ( ~
% 32.71/5.36 | | (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ (all_4_149 = e0) & ~
% 32.71/5.36 | | (all_4_149 = e1) & op(e3, e1) = all_4_149 & $i(all_4_149)) | ( ~
% 32.71/5.36 | | (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~
% 32.71/5.36 | | (all_4_150 = e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) | ( ~
% 32.71/5.36 | | (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 = e0) & ~
% 32.71/5.36 | | (all_4_151 = e1) & op(e2, e3) = all_4_151 & $i(all_4_151)) | ( ~
% 32.71/5.36 | | (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152 = e0) & ~
% 32.71/5.36 | | (all_4_152 = e1) & op(e2, e1) = all_4_152 & $i(all_4_152)) | ( ~
% 32.71/5.36 | | (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 = e0) & ~
% 32.71/5.36 | | (all_4_153 = e1) & op(e2, e0) = all_4_153 & $i(all_4_153)) | ( ~
% 32.71/5.36 | | (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ (all_4_154 = e0) & ~
% 32.71/5.36 | | (all_4_154 = e1) & op(e1, e3) = all_4_154 & $i(all_4_154)) | ( ~
% 32.71/5.36 | | (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ (all_4_155 = e0) & ~
% 32.71/5.36 | | (all_4_155 = e1) & op(e1, e2) = all_4_155 & $i(all_4_155)) | ( ~
% 32.71/5.36 | | (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 = e0) & ~
% 32.71/5.36 | | (all_4_156 = e1) & op(e1, e0) = all_4_156 & $i(all_4_156)) | ( ~
% 32.71/5.36 | | (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ (all_4_157 = e0) & ~
% 32.71/5.36 | | (all_4_157 = e1) & op(e0, e3) = all_4_157 & $i(all_4_157)) | ( ~
% 32.71/5.36 | | (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ (all_4_158 = e0) & ~
% 32.71/5.36 | | (all_4_158 = e1) & op(e0, e2) = all_4_158 & $i(all_4_158)) | ( ~
% 32.71/5.36 | | (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ (all_4_159 = e0) & ~
% 32.71/5.36 | | (all_4_159 = e1) & op(e0, e1) = all_4_159 & $i(all_4_159)) | ( ~
% 32.71/5.36 | | (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) & ~
% 32.71/5.36 | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~
% 32.71/5.36 | | (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161 = e0) & ~
% 32.71/5.36 | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~
% 32.71/5.36 | | (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ (all_4_162 = e0) & ~
% 32.71/5.36 | | (all_4_162 = e1) & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~
% 32.71/5.36 | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) |
% 32.71/5.36 | | (op(e0, e0) = all_4_163 & $i(all_4_163) & (( ~ (all_4_163 = e3) &
% 32.71/5.36 | | ~ (all_4_163 = e2) & ~ (all_4_163 = e0) & ~ (all_4_163 =
% 32.71/5.36 | | e1)) | (op(e3, e3) = all_4_160 & op(e2, e2) = all_4_161 &
% 32.71/5.36 | | op(e1, e1) = all_4_162 & $i(all_4_160) & $i(all_4_161) &
% 32.71/5.36 | | $i(all_4_162) & ((all_4_160 = e3 & all_4_161 = e3 & all_4_162
% 32.71/5.36 | | = e3 & all_4_163 = e3) | (all_4_160 = e2 & all_4_161 = e2
% 32.71/5.36 | | & all_4_162 = e2 & all_4_163 = e2) | (all_4_160 = e0 &
% 32.71/5.36 | | all_4_161 = e0 & all_4_162 = e0 & all_4_163 = e0) |
% 32.71/5.36 | | (all_4_160 = e1 & all_4_161 = e1 & all_4_162 = e1 &
% 32.71/5.36 | | all_4_163 = e1)))))
% 32.71/5.36 | |
% 32.71/5.36 | | BETA: splitting (610) gives:
% 32.71/5.36 | |
% 32.71/5.36 | | Case 1:
% 32.71/5.36 | | |
% 32.71/5.37 | | | (611) ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 & op(e2,
% 32.71/5.37 | | | all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & op(e0, e1) =
% 32.71/5.37 | | | all_4_159 & $i(all_4_80) & $i(all_4_81) & $i(all_4_153) &
% 32.71/5.37 | | | $i(all_4_159)) | ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0)
% 32.71/5.37 | | | = all_4_83 & op(e2, all_4_163) = all_4_82 & op(e2, e0) =
% 32.71/5.37 | | | all_4_153 & op(e0, e0) = all_4_163 & $i(all_4_82) &
% 32.71/5.37 | | | $i(all_4_83) & $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 =
% 32.71/5.37 | | | all_4_85) & op(all_4_154, e3) = all_4_85 & op(e3, e3) =
% 32.71/5.37 | | | all_4_160 & op(e1, all_4_160) = all_4_84 & op(e1, e3) =
% 32.71/5.37 | | | all_4_154 & $i(all_4_84) & $i(all_4_85) & $i(all_4_154) &
% 32.71/5.37 | | | $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & op(all_4_154, e2)
% 32.71/5.37 | | | = all_4_87 & op(e3, e2) = all_4_148 & op(e1, all_4_148) =
% 32.71/5.37 | | | all_4_86 & op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87)
% 32.71/5.37 | | | & $i(all_4_148) & $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) &
% 32.71/5.37 | | | op(all_4_154, e1) = all_4_89 & op(e3, e1) = all_4_149 & op(e1,
% 32.71/5.37 | | | all_4_149) = all_4_88 & op(e1, e3) = all_4_154 & $i(all_4_88)
% 32.71/5.37 | | | & $i(all_4_89) & $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_90
% 32.71/5.37 | | | = all_4_91) & op(all_4_154, e0) = all_4_91 & op(e3, e0) =
% 32.71/5.37 | | | all_4_150 & op(e1, all_4_150) = all_4_90 & op(e1, e3) =
% 32.71/5.37 | | | all_4_154 & $i(all_4_90) & $i(all_4_91) & $i(all_4_150) &
% 32.71/5.37 | | | $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3)
% 32.71/5.37 | | | = all_4_93 & op(e2, e3) = all_4_151 & op(e1, all_4_151) =
% 32.71/5.37 | | | all_4_92 & op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93)
% 32.71/5.37 | | | & $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95) &
% 32.71/5.37 | | | op(all_4_155, e2) = all_4_95 & op(e2, e2) = all_4_161 & op(e1,
% 32.71/5.37 | | | all_4_161) = all_4_94 & op(e1, e2) = all_4_155 & $i(all_4_94)
% 32.71/5.37 | | | & $i(all_4_95) & $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96
% 32.71/5.37 | | | = all_4_97) & op(all_4_155, e1) = all_4_97 & op(e2, e1) =
% 32.71/5.37 | | | all_4_152 & op(e1, all_4_152) = all_4_96 & op(e1, e2) =
% 32.71/5.37 | | | all_4_155 & $i(all_4_96) & $i(all_4_97) & $i(all_4_152) &
% 32.71/5.37 | | | $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0)
% 32.71/5.37 | | | = all_4_99 & op(e2, e0) = all_4_153 & op(e1, all_4_153) =
% 32.71/5.37 | | | all_4_98 & op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99)
% 32.71/5.37 | | | & $i(all_4_153) & $i(all_4_155)) | ( ~ (all_4_100 = all_4_101)
% 32.71/5.37 | | | & op(all_4_162, e3) = all_4_101 & op(e1, all_4_154) = all_4_100
% 32.71/5.37 | | | & op(e1, e3) = all_4_154 & op(e1, e1) = all_4_162 &
% 32.71/5.37 | | | $i(all_4_100) & $i(all_4_101) & $i(all_4_154) & $i(all_4_162))
% 32.71/5.37 | | | | ( ~ (all_4_102 = all_4_103) & op(all_4_162, e2) = all_4_103 &
% 32.71/5.37 | | | op(e1, all_4_155) = all_4_102 & op(e1, e2) = all_4_155 & op(e1,
% 32.71/5.37 | | | e1) = all_4_162 & $i(all_4_102) & $i(all_4_103) &
% 32.71/5.37 | | | $i(all_4_155) & $i(all_4_162)) | ( ~ (all_4_104 = all_4_105) &
% 32.71/5.37 | | | op(all_4_162, e1) = all_4_105 & op(e1, all_4_162) = all_4_104 &
% 32.71/5.37 | | | op(e1, e1) = all_4_162 & $i(all_4_104) & $i(all_4_105) &
% 32.71/5.37 | | | $i(all_4_162)) | ( ~ (all_4_106 = all_4_107) & op(all_4_162,
% 32.71/5.37 | | | e0) = all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0)
% 32.71/5.37 | | | = all_4_156 & op(e1, e1) = all_4_162 & $i(all_4_106) &
% 32.71/5.37 | | | $i(all_4_107) & $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108
% 32.71/5.37 | | | = all_4_109) & op(all_4_156, e3) = all_4_109 & op(e0, e3) =
% 32.71/5.37 | | | all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, e0) =
% 32.71/5.37 | | | all_4_156 & $i(all_4_108) & $i(all_4_109) & $i(all_4_156) &
% 32.71/5.37 | | | $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & op(all_4_156,
% 32.71/5.37 | | | e2) = all_4_111 & op(e0, e2) = all_4_158 & op(e1, all_4_158)
% 32.71/5.37 | | | = all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) &
% 32.71/5.37 | | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) | ( ~ (all_4_112
% 32.71/5.37 | | | = all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1) =
% 32.71/5.37 | | | all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0) =
% 32.71/5.37 | | | all_4_156 & $i(all_4_112) & $i(all_4_113) & $i(all_4_156) &
% 32.71/5.37 | | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & op(all_4_156,
% 32.71/5.37 | | | e0) = all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163)
% 32.71/5.37 | | | = all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) &
% 32.71/5.37 | | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163)) | ( ~ (all_4_116
% 32.71/5.37 | | | = all_4_117) & op(all_4_157, e3) = all_4_117 & op(e3, e3) =
% 32.71/5.37 | | | all_4_160 & op(e0, all_4_160) = all_4_116 & op(e0, e3) =
% 32.71/5.37 | | | all_4_157 & $i(all_4_116) & $i(all_4_117) & $i(all_4_157) &
% 32.71/5.37 | | | $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & op(all_4_157,
% 32.71/5.37 | | | e2) = all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148)
% 32.71/5.37 | | | = all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) &
% 32.71/5.37 | | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120
% 32.71/5.37 | | | = all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) =
% 32.71/5.37 | | | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) =
% 32.71/5.37 | | | all_4_157 & $i(all_4_120) & $i(all_4_121) & $i(all_4_149) &
% 32.71/5.37 | | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & op(all_4_157,
% 32.71/5.37 | | | e0) = all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150)
% 32.71/5.37 | | | = all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) &
% 32.71/5.37 | | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_124
% 32.71/5.37 | | | = all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2, e3) =
% 32.71/5.37 | | | all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2) =
% 32.71/5.37 | | | all_4_158 & $i(all_4_124) & $i(all_4_125) & $i(all_4_151) &
% 32.71/5.37 | | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158,
% 32.71/5.37 | | | e2) = all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161)
% 32.71/5.37 | | | = all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) &
% 32.71/5.37 | | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128
% 32.71/5.37 | | | = all_4_129) & op(all_4_158, e1) = all_4_129 & op(e2, e1) =
% 32.71/5.37 | | | all_4_152 & op(e0, all_4_152) = all_4_128 & op(e0, e2) =
% 32.71/5.37 | | | all_4_158 & $i(all_4_128) & $i(all_4_129) & $i(all_4_152) &
% 32.71/5.37 | | | $i(all_4_158))
% 32.71/5.37 | | |
% 32.71/5.37 | | | BETA: splitting (611) gives:
% 32.71/5.37 | | |
% 32.71/5.37 | | | Case 1:
% 32.71/5.37 | | | |
% 32.71/5.38 | | | | (612) ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 &
% 32.71/5.38 | | | | op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 &
% 32.71/5.38 | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) &
% 32.71/5.38 | | | | $i(all_4_153) & $i(all_4_159)) | ( ~ (all_4_82 = all_4_83) &
% 32.71/5.38 | | | | op(all_4_153, e0) = all_4_83 & op(e2, all_4_163) = all_4_82 &
% 32.71/5.38 | | | | op(e2, e0) = all_4_153 & op(e0, e0) = all_4_163 &
% 32.71/5.38 | | | | $i(all_4_82) & $i(all_4_83) & $i(all_4_153) & $i(all_4_163))
% 32.71/5.38 | | | | | ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = all_4_85 &
% 32.71/5.38 | | | | op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 &
% 32.71/5.38 | | | | op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) &
% 32.71/5.38 | | | | $i(all_4_154) & $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) &
% 32.71/5.38 | | | | op(all_4_154, e2) = all_4_87 & op(e3, e2) = all_4_148 &
% 32.71/5.38 | | | | op(e1, all_4_148) = all_4_86 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | $i(all_4_86) & $i(all_4_87) & $i(all_4_148) & $i(all_4_154))
% 32.71/5.38 | | | | | ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89 &
% 32.71/5.38 | | | | op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88 &
% 32.71/5.38 | | | | op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89) &
% 32.71/5.38 | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) &
% 32.71/5.38 | | | | op(all_4_154, e0) = all_4_91 & op(e3, e0) = all_4_150 &
% 32.71/5.38 | | | | op(e1, all_4_150) = all_4_90 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | $i(all_4_90) & $i(all_4_91) & $i(all_4_150) & $i(all_4_154))
% 32.71/5.38 | | | | | ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = all_4_93 &
% 32.71/5.38 | | | | op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 &
% 32.71/5.38 | | | | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) &
% 32.71/5.38 | | | | $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95) &
% 32.71/5.38 | | | | op(all_4_155, e2) = all_4_95 & op(e2, e2) = all_4_161 &
% 32.71/5.38 | | | | op(e1, all_4_161) = all_4_94 & op(e1, e2) = all_4_155 &
% 32.71/5.38 | | | | $i(all_4_94) & $i(all_4_95) & $i(all_4_155) & $i(all_4_161))
% 32.71/5.38 | | | | | ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = all_4_97 &
% 32.71/5.38 | | | | op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96 &
% 32.71/5.38 | | | | op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) &
% 32.71/5.38 | | | | $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) &
% 32.71/5.38 | | | | op(all_4_155, e0) = all_4_99 & op(e2, e0) = all_4_153 &
% 32.71/5.38 | | | | op(e1, all_4_153) = all_4_98 & op(e1, e2) = all_4_155 &
% 32.71/5.38 | | | | $i(all_4_98) & $i(all_4_99) & $i(all_4_153) & $i(all_4_155))
% 32.71/5.38 | | | | | ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) = all_4_101 &
% 32.71/5.38 | | | | op(e1, all_4_154) = all_4_100 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | op(e1, e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) &
% 32.71/5.38 | | | | $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = all_4_103)
% 32.71/5.38 | | | | & op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) =
% 32.71/5.38 | | | | all_4_102 & op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 &
% 32.71/5.38 | | | | $i(all_4_102) & $i(all_4_103) & $i(all_4_155) &
% 32.71/5.38 | | | | $i(all_4_162))
% 32.71/5.38 | | | |
% 32.71/5.38 | | | | BETA: splitting (612) gives:
% 32.71/5.38 | | | |
% 32.71/5.38 | | | | Case 1:
% 32.71/5.38 | | | | |
% 32.71/5.38 | | | | | (613) ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 &
% 32.71/5.38 | | | | | op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 &
% 32.71/5.38 | | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) &
% 32.71/5.38 | | | | | $i(all_4_153) & $i(all_4_159)) | ( ~ (all_4_82 = all_4_83)
% 32.71/5.38 | | | | | & op(all_4_153, e0) = all_4_83 & op(e2, all_4_163) =
% 32.71/5.38 | | | | | all_4_82 & op(e2, e0) = all_4_153 & op(e0, e0) = all_4_163
% 32.71/5.38 | | | | | & $i(all_4_82) & $i(all_4_83) & $i(all_4_153) &
% 32.71/5.38 | | | | | $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & op(all_4_154,
% 32.71/5.38 | | | | | e3) = all_4_85 & op(e3, e3) = all_4_160 & op(e1,
% 32.71/5.38 | | | | | all_4_160) = all_4_84 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | | $i(all_4_84) & $i(all_4_85) & $i(all_4_154) &
% 32.71/5.38 | | | | | $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & op(all_4_154,
% 32.71/5.38 | | | | | e2) = all_4_87 & op(e3, e2) = all_4_148 & op(e1,
% 32.71/5.38 | | | | | all_4_148) = all_4_86 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | | $i(all_4_86) & $i(all_4_87) & $i(all_4_148) &
% 32.71/5.38 | | | | | $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) & op(all_4_154,
% 32.71/5.38 | | | | | e1) = all_4_89 & op(e3, e1) = all_4_149 & op(e1,
% 32.71/5.38 | | | | | all_4_149) = all_4_88 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | | $i(all_4_88) & $i(all_4_89) & $i(all_4_149) &
% 32.71/5.38 | | | | | $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154,
% 32.71/5.38 | | | | | e0) = all_4_91 & op(e3, e0) = all_4_150 & op(e1,
% 32.71/5.38 | | | | | all_4_150) = all_4_90 & op(e1, e3) = all_4_154 &
% 32.71/5.38 | | | | | $i(all_4_90) & $i(all_4_91) & $i(all_4_150) &
% 32.71/5.38 | | | | | $i(all_4_154))
% 32.71/5.38 | | | | |
% 32.71/5.38 | | | | | BETA: splitting (613) gives:
% 32.71/5.38 | | | | |
% 32.71/5.38 | | | | | Case 1:
% 32.71/5.38 | | | | | |
% 32.71/5.38 | | | | | | (614) ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 &
% 32.71/5.38 | | | | | | op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 &
% 32.71/5.38 | | | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) &
% 32.71/5.38 | | | | | | $i(all_4_153) & $i(all_4_159)) | ( ~ (all_4_82 =
% 32.71/5.38 | | | | | | all_4_83) & op(all_4_153, e0) = all_4_83 & op(e2,
% 32.71/5.38 | | | | | | all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & op(e0,
% 32.71/5.38 | | | | | | e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) &
% 32.71/5.38 | | | | | | $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 =
% 32.71/5.38 | | | | | | all_4_85) & op(all_4_154, e3) = all_4_85 & op(e3, e3) =
% 32.71/5.38 | | | | | | all_4_160 & op(e1, all_4_160) = all_4_84 & op(e1, e3) =
% 32.71/5.38 | | | | | | all_4_154 & $i(all_4_84) & $i(all_4_85) & $i(all_4_154) &
% 32.71/5.38 | | | | | | $i(all_4_160))
% 32.71/5.38 | | | | | |
% 32.71/5.38 | | | | | | BETA: splitting (614) gives:
% 32.71/5.38 | | | | | |
% 32.71/5.38 | | | | | | Case 1:
% 32.71/5.38 | | | | | | |
% 32.71/5.38 | | | | | | | (615) ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 &
% 32.71/5.38 | | | | | | | op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 &
% 32.71/5.38 | | | | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) &
% 32.71/5.38 | | | | | | | $i(all_4_153) & $i(all_4_159)
% 32.71/5.38 | | | | | | |
% 32.71/5.38 | | | | | | | ALPHA: (615) implies:
% 32.71/5.38 | | | | | | | (616) ~ (all_4_80 = all_4_81)
% 32.71/5.38 | | | | | | | (617) op(e0, e1) = all_4_159
% 32.71/5.38 | | | | | | | (618) op(e2, e0) = all_4_153
% 32.71/5.38 | | | | | | | (619) op(e2, all_4_159) = all_4_80
% 32.71/5.38 | | | | | | | (620) op(all_4_153, e1) = all_4_81
% 32.71/5.38 | | | | | | |
% 32.71/5.38 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 32.71/5.38 | | | | | | | simplifying with (8), (617) gives:
% 32.71/5.38 | | | | | | | (621) all_4_159 = e1
% 32.71/5.38 | | | | | | |
% 32.71/5.38 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.71/5.38 | | | | | | | simplifying with (13), (618) gives:
% 32.71/5.39 | | | | | | | (622) all_4_153 = e2
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | REDUCE: (620), (622) imply:
% 32.71/5.39 | | | | | | | (623) op(e2, e1) = all_4_81
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | REDUCE: (619), (621) imply:
% 32.71/5.39 | | | | | | | (624) op(e2, e1) = all_4_80
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_80, e1, e2,
% 32.71/5.39 | | | | | | | simplifying with (12), (624) gives:
% 32.71/5.39 | | | | | | | (625) all_4_80 = e0
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | GROUND_INST: instantiating (27) with all_4_81, all_4_80, e1, e2,
% 32.71/5.39 | | | | | | | simplifying with (623), (624) gives:
% 32.71/5.39 | | | | | | | (626) all_4_80 = all_4_81
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | COMBINE_EQS: (625), (626) imply:
% 32.71/5.39 | | | | | | | (627) all_4_81 = e0
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | REDUCE: (616), (625), (627) imply:
% 32.71/5.39 | | | | | | | (628) $false
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | CLOSE: (628) is inconsistent.
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | Case 2:
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | (629) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83
% 32.71/5.39 | | | | | | | & op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153
% 32.71/5.39 | | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83)
% 32.71/5.39 | | | | | | | & $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 =
% 32.71/5.39 | | | | | | | all_4_85) & op(all_4_154, e3) = all_4_85 & op(e3, e3)
% 32.71/5.39 | | | | | | | = all_4_160 & op(e1, all_4_160) = all_4_84 & op(e1, e3)
% 32.71/5.39 | | | | | | | = all_4_154 & $i(all_4_84) & $i(all_4_85) &
% 32.71/5.39 | | | | | | | $i(all_4_154) & $i(all_4_160))
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | BETA: splitting (629) gives:
% 32.71/5.39 | | | | | | |
% 32.71/5.39 | | | | | | | Case 1:
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | (630) ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83
% 32.71/5.39 | | | | | | | | & op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153
% 32.71/5.39 | | | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83)
% 32.71/5.39 | | | | | | | | & $i(all_4_153) & $i(all_4_163)
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | ALPHA: (630) implies:
% 32.71/5.39 | | | | | | | | (631) ~ (all_4_82 = all_4_83)
% 32.71/5.39 | | | | | | | | (632) op(e0, e0) = all_4_163
% 32.71/5.39 | | | | | | | | (633) op(e2, e0) = all_4_153
% 32.71/5.39 | | | | | | | | (634) op(e2, all_4_163) = all_4_82
% 32.71/5.39 | | | | | | | | (635) op(all_4_153, e0) = all_4_83
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 32.71/5.39 | | | | | | | | simplifying with (9), (632) gives:
% 32.71/5.39 | | | | | | | | (636) all_4_163 = e0
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.71/5.39 | | | | | | | | simplifying with (13), (633) gives:
% 32.71/5.39 | | | | | | | | (637) all_4_153 = e2
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | REDUCE: (635), (637) imply:
% 32.71/5.39 | | | | | | | | (638) op(e2, e0) = all_4_83
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | REDUCE: (634), (636) imply:
% 32.71/5.39 | | | | | | | | (639) op(e2, e0) = all_4_82
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_82, e0, e2,
% 32.71/5.39 | | | | | | | | simplifying with (13), (639) gives:
% 32.71/5.39 | | | | | | | | (640) all_4_82 = e2
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | GROUND_INST: instantiating (27) with all_4_83, all_4_82, e0, e2,
% 32.71/5.39 | | | | | | | | simplifying with (638), (639) gives:
% 32.71/5.39 | | | | | | | | (641) all_4_82 = all_4_83
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | COMBINE_EQS: (640), (641) imply:
% 32.71/5.39 | | | | | | | | (642) all_4_83 = e2
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | REDUCE: (631), (640), (642) imply:
% 32.71/5.39 | | | | | | | | (643) $false
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | | CLOSE: (643) is inconsistent.
% 32.71/5.39 | | | | | | | |
% 32.71/5.39 | | | | | | | Case 2:
% 32.71/5.39 | | | | | | | |
% 32.71/5.40 | | | | | | | | (644) ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = all_4_85
% 32.71/5.40 | | | | | | | | & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84
% 32.71/5.40 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85)
% 32.71/5.40 | | | | | | | | & $i(all_4_154) & $i(all_4_160)
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | ALPHA: (644) implies:
% 32.71/5.40 | | | | | | | | (645) ~ (all_4_84 = all_4_85)
% 32.71/5.40 | | | | | | | | (646) op(e1, e3) = all_4_154
% 32.71/5.40 | | | | | | | | (647) op(e1, all_4_160) = all_4_84
% 32.71/5.40 | | | | | | | | (648) op(e3, e3) = all_4_160
% 32.71/5.40 | | | | | | | | (649) op(all_4_154, e3) = all_4_85
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.71/5.40 | | | | | | | | simplifying with (7), (646) gives:
% 32.71/5.40 | | | | | | | | (650) all_4_154 = e2
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 32.71/5.40 | | | | | | | | simplifying with (19), (648) gives:
% 32.71/5.40 | | | | | | | | (651) all_4_160 = e0
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | REDUCE: (649), (650) imply:
% 32.71/5.40 | | | | | | | | (652) op(e2, e3) = all_4_85
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | REDUCE: (647), (651) imply:
% 32.71/5.40 | | | | | | | | (653) op(e1, e0) = all_4_84
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_84, e0, e1,
% 32.71/5.40 | | | | | | | | simplifying with (5), (653) gives:
% 32.71/5.40 | | | | | | | | (654) all_4_84 = e1
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_85, e3, e2,
% 32.71/5.40 | | | | | | | | simplifying with (15), (652) gives:
% 32.71/5.40 | | | | | | | | (655) all_4_85 = e1
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | REDUCE: (645), (654), (655) imply:
% 32.71/5.40 | | | | | | | | (656) $false
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | | CLOSE: (656) is inconsistent.
% 32.71/5.40 | | | | | | | |
% 32.71/5.40 | | | | | | | End of split
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | End of split
% 32.71/5.40 | | | | | |
% 32.71/5.40 | | | | | Case 2:
% 32.71/5.40 | | | | | |
% 32.71/5.40 | | | | | | (657) ( ~ (all_4_86 = all_4_87) & op(all_4_154, e2) = all_4_87 &
% 32.71/5.40 | | | | | | op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 &
% 32.71/5.40 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) &
% 32.71/5.40 | | | | | | $i(all_4_148) & $i(all_4_154)) | ( ~ (all_4_88 =
% 32.71/5.40 | | | | | | all_4_89) & op(all_4_154, e1) = all_4_89 & op(e3, e1) =
% 32.71/5.40 | | | | | | all_4_149 & op(e1, all_4_149) = all_4_88 & op(e1, e3) =
% 32.71/5.40 | | | | | | all_4_154 & $i(all_4_88) & $i(all_4_89) & $i(all_4_149) &
% 32.71/5.40 | | | | | | $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) &
% 32.71/5.40 | | | | | | op(all_4_154, e0) = all_4_91 & op(e3, e0) = all_4_150 &
% 32.71/5.40 | | | | | | op(e1, all_4_150) = all_4_90 & op(e1, e3) = all_4_154 &
% 32.71/5.40 | | | | | | $i(all_4_90) & $i(all_4_91) & $i(all_4_150) &
% 32.71/5.40 | | | | | | $i(all_4_154))
% 32.71/5.40 | | | | | |
% 32.71/5.40 | | | | | | BETA: splitting (657) gives:
% 32.71/5.40 | | | | | |
% 32.71/5.40 | | | | | | Case 1:
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | (658) ~ (all_4_86 = all_4_87) & op(all_4_154, e2) = all_4_87 &
% 32.71/5.40 | | | | | | | op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 &
% 32.71/5.40 | | | | | | | op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) &
% 32.71/5.40 | | | | | | | $i(all_4_148) & $i(all_4_154)
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | ALPHA: (658) implies:
% 32.71/5.40 | | | | | | | (659) ~ (all_4_86 = all_4_87)
% 32.71/5.40 | | | | | | | (660) op(e1, e3) = all_4_154
% 32.71/5.40 | | | | | | | (661) op(e1, all_4_148) = all_4_86
% 32.71/5.40 | | | | | | | (662) op(e3, e2) = all_4_148
% 32.71/5.40 | | | | | | | (663) op(all_4_154, e2) = all_4_87
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.71/5.40 | | | | | | | simplifying with (7), (660) gives:
% 32.71/5.40 | | | | | | | (664) all_4_154 = e2
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 32.71/5.40 | | | | | | | simplifying with (18), (662) gives:
% 32.71/5.40 | | | | | | | (665) all_4_148 = e1
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | REDUCE: (663), (664) imply:
% 32.71/5.40 | | | | | | | (666) op(e2, e2) = all_4_87
% 32.71/5.40 | | | | | | |
% 32.71/5.40 | | | | | | | REDUCE: (661), (665) imply:
% 32.71/5.40 | | | | | | | (667) op(e1, e1) = all_4_86
% 32.71/5.40 | | | | | | |
% 32.71/5.41 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_86, e1, e1,
% 32.71/5.41 | | | | | | | simplifying with (4), (667) gives:
% 32.71/5.41 | | | | | | | (668) all_4_86 = e3
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_87, e2, e2,
% 32.71/5.41 | | | | | | | simplifying with (14), (666) gives:
% 32.71/5.41 | | | | | | | (669) all_4_87 = e3
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | REDUCE: (659), (668), (669) imply:
% 32.71/5.41 | | | | | | | (670) $false
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | CLOSE: (670) is inconsistent.
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | Case 2:
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | (671) ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89
% 32.71/5.41 | | | | | | | & op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88
% 32.71/5.41 | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89)
% 32.71/5.41 | | | | | | | & $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_90 =
% 32.71/5.41 | | | | | | | all_4_91) & op(all_4_154, e0) = all_4_91 & op(e3, e0)
% 32.71/5.41 | | | | | | | = all_4_150 & op(e1, all_4_150) = all_4_90 & op(e1, e3)
% 32.71/5.41 | | | | | | | = all_4_154 & $i(all_4_90) & $i(all_4_91) &
% 32.71/5.41 | | | | | | | $i(all_4_150) & $i(all_4_154))
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | BETA: splitting (671) gives:
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | | Case 1:
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | (672) ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89
% 32.71/5.41 | | | | | | | | & op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88
% 32.71/5.41 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89)
% 32.71/5.41 | | | | | | | | & $i(all_4_149) & $i(all_4_154)
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | ALPHA: (672) implies:
% 32.71/5.41 | | | | | | | | (673) ~ (all_4_88 = all_4_89)
% 32.71/5.41 | | | | | | | | (674) op(e1, e3) = all_4_154
% 32.71/5.41 | | | | | | | | (675) op(e1, all_4_149) = all_4_88
% 32.71/5.41 | | | | | | | | (676) op(e3, e1) = all_4_149
% 32.71/5.41 | | | | | | | | (677) op(all_4_154, e1) = all_4_89
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.71/5.41 | | | | | | | | simplifying with (7), (674) gives:
% 32.71/5.41 | | | | | | | | (678) all_4_154 = e2
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 32.71/5.41 | | | | | | | | simplifying with (16), (676) gives:
% 32.71/5.41 | | | | | | | | (679) all_4_149 = e2
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (677), (678) imply:
% 32.71/5.41 | | | | | | | | (680) op(e2, e1) = all_4_89
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (675), (679) imply:
% 32.71/5.41 | | | | | | | | (681) op(e1, e2) = all_4_88
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_88, e2, e1,
% 32.71/5.41 | | | | | | | | simplifying with (6), (681) gives:
% 32.71/5.41 | | | | | | | | (682) all_4_88 = e0
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_89, e1, e2,
% 32.71/5.41 | | | | | | | | simplifying with (12), (680) gives:
% 32.71/5.41 | | | | | | | | (683) all_4_89 = e0
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (673), (682), (683) imply:
% 32.71/5.41 | | | | | | | | (684) $false
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | CLOSE: (684) is inconsistent.
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | Case 2:
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | (685) ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = all_4_91
% 32.71/5.41 | | | | | | | | & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90
% 32.71/5.41 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91)
% 32.71/5.41 | | | | | | | | & $i(all_4_150) & $i(all_4_154)
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | ALPHA: (685) implies:
% 32.71/5.41 | | | | | | | | (686) ~ (all_4_90 = all_4_91)
% 32.71/5.41 | | | | | | | | (687) op(e1, e3) = all_4_154
% 32.71/5.41 | | | | | | | | (688) op(e1, all_4_150) = all_4_90
% 32.71/5.41 | | | | | | | | (689) op(e3, e0) = all_4_150
% 32.71/5.41 | | | | | | | | (690) op(all_4_154, e0) = all_4_91
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 32.71/5.41 | | | | | | | | simplifying with (7), (687) gives:
% 32.71/5.41 | | | | | | | | (691) all_4_154 = e2
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 32.71/5.41 | | | | | | | | simplifying with (17), (689) gives:
% 32.71/5.41 | | | | | | | | (692) all_4_150 = e3
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (690), (691) imply:
% 32.71/5.41 | | | | | | | | (693) op(e2, e0) = all_4_91
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (688), (692) imply:
% 32.71/5.41 | | | | | | | | (694) op(e1, e3) = all_4_90
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_90, e3, e1,
% 32.71/5.41 | | | | | | | | simplifying with (7), (694) gives:
% 32.71/5.41 | | | | | | | | (695) all_4_90 = e2
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_91, e0, e2,
% 32.71/5.41 | | | | | | | | simplifying with (13), (693) gives:
% 32.71/5.41 | | | | | | | | (696) all_4_91 = e2
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | REDUCE: (686), (695), (696) imply:
% 32.71/5.41 | | | | | | | | (697) $false
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | | CLOSE: (697) is inconsistent.
% 32.71/5.41 | | | | | | | |
% 32.71/5.41 | | | | | | | End of split
% 32.71/5.41 | | | | | | |
% 32.71/5.41 | | | | | | End of split
% 32.71/5.41 | | | | | |
% 32.71/5.41 | | | | | End of split
% 32.71/5.41 | | | | |
% 32.71/5.41 | | | | Case 2:
% 32.71/5.41 | | | | |
% 32.71/5.42 | | | | | (698) ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = all_4_93 &
% 32.71/5.42 | | | | | op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 &
% 32.71/5.42 | | | | | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) &
% 32.71/5.42 | | | | | $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95)
% 32.71/5.42 | | | | | & op(all_4_155, e2) = all_4_95 & op(e2, e2) = all_4_161 &
% 32.71/5.42 | | | | | op(e1, all_4_161) = all_4_94 & op(e1, e2) = all_4_155 &
% 32.71/5.42 | | | | | $i(all_4_94) & $i(all_4_95) & $i(all_4_155) &
% 32.71/5.42 | | | | | $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) & op(all_4_155,
% 32.71/5.42 | | | | | e1) = all_4_97 & op(e2, e1) = all_4_152 & op(e1,
% 32.71/5.42 | | | | | all_4_152) = all_4_96 & op(e1, e2) = all_4_155 &
% 32.71/5.42 | | | | | $i(all_4_96) & $i(all_4_97) & $i(all_4_152) &
% 32.71/5.42 | | | | | $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155,
% 32.71/5.42 | | | | | e0) = all_4_99 & op(e2, e0) = all_4_153 & op(e1,
% 32.71/5.42 | | | | | all_4_153) = all_4_98 & op(e1, e2) = all_4_155 &
% 32.71/5.42 | | | | | $i(all_4_98) & $i(all_4_99) & $i(all_4_153) &
% 32.71/5.42 | | | | | $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) &
% 32.71/5.42 | | | | | op(all_4_162, e3) = all_4_101 & op(e1, all_4_154) =
% 32.71/5.42 | | | | | all_4_100 & op(e1, e3) = all_4_154 & op(e1, e1) = all_4_162
% 32.71/5.42 | | | | | & $i(all_4_100) & $i(all_4_101) & $i(all_4_154) &
% 32.71/5.42 | | | | | $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) &
% 32.71/5.42 | | | | | op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) =
% 32.71/5.42 | | | | | all_4_102 & op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162
% 32.71/5.42 | | | | | & $i(all_4_102) & $i(all_4_103) & $i(all_4_155) &
% 32.71/5.42 | | | | | $i(all_4_162))
% 32.71/5.42 | | | | |
% 32.71/5.42 | | | | | BETA: splitting (698) gives:
% 32.71/5.42 | | | | |
% 32.71/5.42 | | | | | Case 1:
% 32.71/5.42 | | | | | |
% 32.71/5.42 | | | | | | (699) ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = all_4_93 &
% 32.71/5.42 | | | | | | op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 &
% 32.71/5.42 | | | | | | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) &
% 32.71/5.42 | | | | | | $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 =
% 32.71/5.42 | | | | | | all_4_95) & op(all_4_155, e2) = all_4_95 & op(e2, e2) =
% 32.71/5.42 | | | | | | all_4_161 & op(e1, all_4_161) = all_4_94 & op(e1, e2) =
% 32.71/5.42 | | | | | | all_4_155 & $i(all_4_94) & $i(all_4_95) & $i(all_4_155) &
% 32.71/5.42 | | | | | | $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) &
% 32.71/5.42 | | | | | | op(all_4_155, e1) = all_4_97 & op(e2, e1) = all_4_152 &
% 32.71/5.42 | | | | | | op(e1, all_4_152) = all_4_96 & op(e1, e2) = all_4_155 &
% 32.71/5.42 | | | | | | $i(all_4_96) & $i(all_4_97) & $i(all_4_152) &
% 32.71/5.42 | | | | | | $i(all_4_155))
% 32.71/5.42 | | | | | |
% 32.71/5.42 | | | | | | BETA: splitting (699) gives:
% 32.71/5.42 | | | | | |
% 32.71/5.42 | | | | | | Case 1:
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | (700) ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = all_4_93 &
% 32.71/5.42 | | | | | | | op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 &
% 32.71/5.42 | | | | | | | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) &
% 32.71/5.42 | | | | | | | $i(all_4_151) & $i(all_4_155)
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | ALPHA: (700) implies:
% 32.71/5.42 | | | | | | | (701) ~ (all_4_92 = all_4_93)
% 32.71/5.42 | | | | | | | (702) op(e1, e2) = all_4_155
% 32.71/5.42 | | | | | | | (703) op(e1, all_4_151) = all_4_92
% 32.71/5.42 | | | | | | | (704) op(e2, e3) = all_4_151
% 32.71/5.42 | | | | | | | (705) op(all_4_155, e3) = all_4_93
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.71/5.42 | | | | | | | simplifying with (6), (702) gives:
% 32.71/5.42 | | | | | | | (706) all_4_155 = e0
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 32.71/5.42 | | | | | | | simplifying with (15), (704) gives:
% 32.71/5.42 | | | | | | | (707) all_4_151 = e1
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | REDUCE: (705), (706) imply:
% 32.71/5.42 | | | | | | | (708) op(e0, e3) = all_4_93
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | REDUCE: (703), (707) imply:
% 32.71/5.42 | | | | | | | (709) op(e1, e1) = all_4_92
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_92, e1, e1,
% 32.71/5.42 | | | | | | | simplifying with (4), (709) gives:
% 32.71/5.42 | | | | | | | (710) all_4_92 = e3
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_93, e3, e0,
% 32.71/5.42 | | | | | | | simplifying with (11), (708) gives:
% 32.71/5.42 | | | | | | | (711) all_4_93 = e3
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | REDUCE: (701), (710), (711) imply:
% 32.71/5.42 | | | | | | | (712) $false
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | CLOSE: (712) is inconsistent.
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | Case 2:
% 32.71/5.42 | | | | | | |
% 32.71/5.42 | | | | | | | (713) ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95
% 32.71/5.42 | | | | | | | & op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94
% 32.71/5.43 | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95)
% 32.71/5.43 | | | | | | | & $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96 =
% 32.71/5.43 | | | | | | | all_4_97) & op(all_4_155, e1) = all_4_97 & op(e2, e1)
% 32.71/5.43 | | | | | | | = all_4_152 & op(e1, all_4_152) = all_4_96 & op(e1, e2)
% 32.71/5.43 | | | | | | | = all_4_155 & $i(all_4_96) & $i(all_4_97) &
% 32.71/5.43 | | | | | | | $i(all_4_152) & $i(all_4_155))
% 32.71/5.43 | | | | | | |
% 32.71/5.43 | | | | | | | BETA: splitting (713) gives:
% 32.71/5.43 | | | | | | |
% 32.71/5.43 | | | | | | | Case 1:
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | (714) ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95
% 32.71/5.43 | | | | | | | | & op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94
% 32.71/5.43 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95)
% 32.71/5.43 | | | | | | | | & $i(all_4_155) & $i(all_4_161)
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | ALPHA: (714) implies:
% 32.71/5.43 | | | | | | | | (715) ~ (all_4_94 = all_4_95)
% 32.71/5.43 | | | | | | | | (716) op(e1, e2) = all_4_155
% 32.71/5.43 | | | | | | | | (717) op(e1, all_4_161) = all_4_94
% 32.71/5.43 | | | | | | | | (718) op(e2, e2) = all_4_161
% 32.71/5.43 | | | | | | | | (719) op(all_4_155, e2) = all_4_95
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.71/5.43 | | | | | | | | simplifying with (6), (716) gives:
% 32.71/5.43 | | | | | | | | (720) all_4_155 = e0
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 32.71/5.43 | | | | | | | | simplifying with (14), (718) gives:
% 32.71/5.43 | | | | | | | | (721) all_4_161 = e3
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | REDUCE: (719), (720) imply:
% 32.71/5.43 | | | | | | | | (722) op(e0, e2) = all_4_95
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | REDUCE: (717), (721) imply:
% 32.71/5.43 | | | | | | | | (723) op(e1, e3) = all_4_94
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_94, e3, e1,
% 32.71/5.43 | | | | | | | | simplifying with (7), (723) gives:
% 32.71/5.43 | | | | | | | | (724) all_4_94 = e2
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_95, e2, e0,
% 32.71/5.43 | | | | | | | | simplifying with (10), (722) gives:
% 32.71/5.43 | | | | | | | | (725) all_4_95 = e2
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | REDUCE: (715), (724), (725) imply:
% 32.71/5.43 | | | | | | | | (726) $false
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | CLOSE: (726) is inconsistent.
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | Case 2:
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | (727) ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = all_4_97
% 32.71/5.43 | | | | | | | | & op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96
% 32.71/5.43 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97)
% 32.71/5.43 | | | | | | | | & $i(all_4_152) & $i(all_4_155)
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | ALPHA: (727) implies:
% 32.71/5.43 | | | | | | | | (728) ~ (all_4_96 = all_4_97)
% 32.71/5.43 | | | | | | | | (729) op(e1, e2) = all_4_155
% 32.71/5.43 | | | | | | | | (730) op(e1, all_4_152) = all_4_96
% 32.71/5.43 | | | | | | | | (731) op(e2, e1) = all_4_152
% 32.71/5.43 | | | | | | | | (732) op(all_4_155, e1) = all_4_97
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.71/5.43 | | | | | | | | simplifying with (6), (729) gives:
% 32.71/5.43 | | | | | | | | (733) all_4_155 = e0
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 32.71/5.43 | | | | | | | | simplifying with (12), (731) gives:
% 32.71/5.43 | | | | | | | | (734) all_4_152 = e0
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | REDUCE: (732), (733) imply:
% 32.71/5.43 | | | | | | | | (735) op(e0, e1) = all_4_97
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | REDUCE: (730), (734) imply:
% 32.71/5.43 | | | | | | | | (736) op(e1, e0) = all_4_96
% 32.71/5.43 | | | | | | | |
% 32.71/5.43 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_96, e0, e1,
% 32.71/5.43 | | | | | | | | simplifying with (5), (736) gives:
% 32.71/5.43 | | | | | | | | (737) all_4_96 = e1
% 32.71/5.43 | | | | | | | |
% 32.71/5.44 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_97, e1, e0,
% 32.71/5.44 | | | | | | | | simplifying with (8), (735) gives:
% 32.71/5.44 | | | | | | | | (738) all_4_97 = e1
% 32.71/5.44 | | | | | | | |
% 32.71/5.44 | | | | | | | | REDUCE: (728), (737), (738) imply:
% 32.71/5.44 | | | | | | | | (739) $false
% 32.71/5.44 | | | | | | | |
% 32.71/5.44 | | | | | | | | CLOSE: (739) is inconsistent.
% 32.71/5.44 | | | | | | | |
% 32.71/5.44 | | | | | | | End of split
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | End of split
% 32.71/5.44 | | | | | |
% 32.71/5.44 | | | | | Case 2:
% 32.71/5.44 | | | | | |
% 32.71/5.44 | | | | | | (740) ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = all_4_99 &
% 32.71/5.44 | | | | | | op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 &
% 32.71/5.44 | | | | | | op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) &
% 32.71/5.44 | | | | | | $i(all_4_153) & $i(all_4_155)) | ( ~ (all_4_100 =
% 32.71/5.44 | | | | | | all_4_101) & op(all_4_162, e3) = all_4_101 & op(e1,
% 32.71/5.44 | | | | | | all_4_154) = all_4_100 & op(e1, e3) = all_4_154 &
% 32.71/5.44 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) &
% 32.71/5.44 | | | | | | $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 =
% 32.71/5.44 | | | | | | all_4_103) & op(all_4_162, e2) = all_4_103 & op(e1,
% 32.71/5.44 | | | | | | all_4_155) = all_4_102 & op(e1, e2) = all_4_155 &
% 32.71/5.44 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_102) & $i(all_4_103) &
% 32.71/5.44 | | | | | | $i(all_4_155) & $i(all_4_162))
% 32.71/5.44 | | | | | |
% 32.71/5.44 | | | | | | BETA: splitting (740) gives:
% 32.71/5.44 | | | | | |
% 32.71/5.44 | | | | | | Case 1:
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | (741) ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = all_4_99 &
% 32.71/5.44 | | | | | | | op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 &
% 32.71/5.44 | | | | | | | op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) &
% 32.71/5.44 | | | | | | | $i(all_4_153) & $i(all_4_155)
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | ALPHA: (741) implies:
% 32.71/5.44 | | | | | | | (742) ~ (all_4_98 = all_4_99)
% 32.71/5.44 | | | | | | | (743) op(e1, e2) = all_4_155
% 32.71/5.44 | | | | | | | (744) op(e1, all_4_153) = all_4_98
% 32.71/5.44 | | | | | | | (745) op(e2, e0) = all_4_153
% 32.71/5.44 | | | | | | | (746) op(all_4_155, e0) = all_4_99
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 32.71/5.44 | | | | | | | simplifying with (6), (743) gives:
% 32.71/5.44 | | | | | | | (747) all_4_155 = e0
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 32.71/5.44 | | | | | | | simplifying with (13), (745) gives:
% 32.71/5.44 | | | | | | | (748) all_4_153 = e2
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | REDUCE: (746), (747) imply:
% 32.71/5.44 | | | | | | | (749) op(e0, e0) = all_4_99
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | REDUCE: (744), (748) imply:
% 32.71/5.44 | | | | | | | (750) op(e1, e2) = all_4_98
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_98, e2, e1,
% 32.71/5.44 | | | | | | | simplifying with (6), (750) gives:
% 32.71/5.44 | | | | | | | (751) all_4_98 = e0
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_99, e0, e0,
% 32.71/5.44 | | | | | | | simplifying with (9), (749) gives:
% 32.71/5.44 | | | | | | | (752) all_4_99 = e0
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | REDUCE: (742), (751), (752) imply:
% 32.71/5.44 | | | | | | | (753) $false
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | CLOSE: (753) is inconsistent.
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | Case 2:
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | (754) ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) =
% 32.71/5.44 | | | | | | | all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3)
% 32.71/5.44 | | | | | | | = all_4_154 & op(e1, e1) = all_4_162 & $i(all_4_100) &
% 32.71/5.44 | | | | | | | $i(all_4_101) & $i(all_4_154) & $i(all_4_162)) | ( ~
% 32.71/5.44 | | | | | | | (all_4_102 = all_4_103) & op(all_4_162, e2) = all_4_103
% 32.71/5.44 | | | | | | | & op(e1, all_4_155) = all_4_102 & op(e1, e2) =
% 32.71/5.44 | | | | | | | all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) &
% 32.71/5.44 | | | | | | | $i(all_4_103) & $i(all_4_155) & $i(all_4_162))
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | BETA: splitting (754) gives:
% 32.71/5.44 | | | | | | |
% 32.71/5.44 | | | | | | | Case 1:
% 32.71/5.44 | | | | | | | |
% 32.71/5.44 | | | | | | | | (755) ~ (all_4_100 = all_4_101) & op(all_4_162, e3) =
% 32.71/5.44 | | | | | | | | all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3)
% 32.71/5.44 | | | | | | | | = all_4_154 & op(e1, e1) = all_4_162 & $i(all_4_100) &
% 32.71/5.44 | | | | | | | | $i(all_4_101) & $i(all_4_154) & $i(all_4_162)
% 32.71/5.44 | | | | | | | |
% 32.71/5.44 | | | | | | | | ALPHA: (755) implies:
% 32.71/5.45 | | | | | | | | (756) ~ (all_4_100 = all_4_101)
% 32.71/5.45 | | | | | | | | (757) op(e1, e1) = all_4_162
% 32.71/5.45 | | | | | | | | (758) op(e1, e3) = all_4_154
% 32.71/5.45 | | | | | | | | (759) op(e1, all_4_154) = all_4_100
% 33.03/5.45 | | | | | | | | (760) op(all_4_162, e3) = all_4_101
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.03/5.45 | | | | | | | | simplifying with (4), (757) gives:
% 33.03/5.45 | | | | | | | | (761) all_4_162 = e3
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 33.03/5.45 | | | | | | | | simplifying with (7), (758) gives:
% 33.03/5.45 | | | | | | | | (762) all_4_154 = e2
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (760), (761) imply:
% 33.03/5.45 | | | | | | | | (763) op(e3, e3) = all_4_101
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (759), (762) imply:
% 33.03/5.45 | | | | | | | | (764) op(e1, e2) = all_4_100
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_100, e2, e1,
% 33.03/5.45 | | | | | | | | simplifying with (6), (764) gives:
% 33.03/5.45 | | | | | | | | (765) all_4_100 = e0
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_101, e3, e3,
% 33.03/5.45 | | | | | | | | simplifying with (19), (763) gives:
% 33.03/5.45 | | | | | | | | (766) all_4_101 = e0
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (756), (765), (766) imply:
% 33.03/5.45 | | | | | | | | (767) $false
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | CLOSE: (767) is inconsistent.
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | Case 2:
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | (768) ~ (all_4_102 = all_4_103) & op(all_4_162, e2) =
% 33.03/5.45 | | | | | | | | all_4_103 & op(e1, all_4_155) = all_4_102 & op(e1, e2)
% 33.03/5.45 | | | | | | | | = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) &
% 33.03/5.45 | | | | | | | | $i(all_4_103) & $i(all_4_155) & $i(all_4_162)
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | ALPHA: (768) implies:
% 33.03/5.45 | | | | | | | | (769) ~ (all_4_102 = all_4_103)
% 33.03/5.45 | | | | | | | | (770) op(e1, e1) = all_4_162
% 33.03/5.45 | | | | | | | | (771) op(e1, e2) = all_4_155
% 33.03/5.45 | | | | | | | | (772) op(e1, all_4_155) = all_4_102
% 33.03/5.45 | | | | | | | | (773) op(all_4_162, e2) = all_4_103
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.03/5.45 | | | | | | | | simplifying with (4), (770) gives:
% 33.03/5.45 | | | | | | | | (774) all_4_162 = e3
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 33.03/5.45 | | | | | | | | simplifying with (6), (771) gives:
% 33.03/5.45 | | | | | | | | (775) all_4_155 = e0
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (773), (774) imply:
% 33.03/5.45 | | | | | | | | (776) op(e3, e2) = all_4_103
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (772), (775) imply:
% 33.03/5.45 | | | | | | | | (777) op(e1, e0) = all_4_102
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_102, e0, e1,
% 33.03/5.45 | | | | | | | | simplifying with (5), (777) gives:
% 33.03/5.45 | | | | | | | | (778) all_4_102 = e1
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_103, e2, e3,
% 33.03/5.45 | | | | | | | | simplifying with (18), (776) gives:
% 33.03/5.45 | | | | | | | | (779) all_4_103 = e1
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | REDUCE: (769), (778), (779) imply:
% 33.03/5.45 | | | | | | | | (780) $false
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | | CLOSE: (780) is inconsistent.
% 33.03/5.45 | | | | | | | |
% 33.03/5.45 | | | | | | | End of split
% 33.03/5.45 | | | | | | |
% 33.03/5.45 | | | | | | End of split
% 33.03/5.45 | | | | | |
% 33.03/5.45 | | | | | End of split
% 33.03/5.45 | | | | |
% 33.03/5.45 | | | | End of split
% 33.03/5.45 | | | |
% 33.03/5.45 | | | Case 2:
% 33.03/5.45 | | | |
% 33.03/5.46 | | | | (781) ( ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 &
% 33.03/5.46 | | | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 &
% 33.03/5.46 | | | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~
% 33.03/5.46 | | | | (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 &
% 33.03/5.46 | | | | op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) &
% 33.03/5.46 | | | | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = all_4_109)
% 33.03/5.46 | | | | & op(all_4_156, e3) = all_4_109 & op(e0, e3) = all_4_157 &
% 33.03/5.46 | | | | op(e1, all_4_157) = all_4_108 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | $i(all_4_108) & $i(all_4_109) & $i(all_4_156) &
% 33.03/5.46 | | | | $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & op(all_4_156,
% 33.03/5.46 | | | | e2) = all_4_111 & op(e0, e2) = all_4_158 & op(e1,
% 33.03/5.46 | | | | all_4_158) = all_4_110 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) &
% 33.03/5.46 | | | | $i(all_4_158)) | ( ~ (all_4_112 = all_4_113) & op(all_4_156,
% 33.03/5.46 | | | | e1) = all_4_113 & op(e0, e1) = all_4_159 & op(e1,
% 33.03/5.46 | | | | all_4_159) = all_4_112 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | $i(all_4_112) & $i(all_4_113) & $i(all_4_156) &
% 33.03/5.46 | | | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & op(all_4_156,
% 33.03/5.46 | | | | e0) = all_4_115 & op(e0, e0) = all_4_163 & op(e1,
% 33.03/5.46 | | | | all_4_163) = all_4_114 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | $i(all_4_114) & $i(all_4_115) & $i(all_4_156) &
% 33.03/5.46 | | | | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & op(all_4_157,
% 33.03/5.46 | | | | e3) = all_4_117 & op(e3, e3) = all_4_160 & op(e0,
% 33.03/5.46 | | | | all_4_160) = all_4_116 & op(e0, e3) = all_4_157 &
% 33.03/5.46 | | | | $i(all_4_116) & $i(all_4_117) & $i(all_4_157) &
% 33.03/5.46 | | | | $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & op(all_4_157,
% 33.03/5.46 | | | | e2) = all_4_119 & op(e3, e2) = all_4_148 & op(e0,
% 33.03/5.46 | | | | all_4_148) = all_4_118 & op(e0, e3) = all_4_157 &
% 33.03/5.46 | | | | $i(all_4_118) & $i(all_4_119) & $i(all_4_148) &
% 33.03/5.46 | | | | $i(all_4_157)) | ( ~ (all_4_120 = all_4_121) & op(all_4_157,
% 33.03/5.46 | | | | e1) = all_4_121 & op(e3, e1) = all_4_149 & op(e0,
% 33.03/5.46 | | | | all_4_149) = all_4_120 & op(e0, e3) = all_4_157 &
% 33.03/5.46 | | | | $i(all_4_120) & $i(all_4_121) & $i(all_4_149) &
% 33.03/5.46 | | | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & op(all_4_157,
% 33.03/5.46 | | | | e0) = all_4_123 & op(e3, e0) = all_4_150 & op(e0,
% 33.03/5.46 | | | | all_4_150) = all_4_122 & op(e0, e3) = all_4_157 &
% 33.03/5.46 | | | | $i(all_4_122) & $i(all_4_123) & $i(all_4_150) &
% 33.03/5.46 | | | | $i(all_4_157)) | ( ~ (all_4_124 = all_4_125) & op(all_4_158,
% 33.03/5.46 | | | | e3) = all_4_125 & op(e2, e3) = all_4_151 & op(e0,
% 33.03/5.46 | | | | all_4_151) = all_4_124 & op(e0, e2) = all_4_158 &
% 33.03/5.46 | | | | $i(all_4_124) & $i(all_4_125) & $i(all_4_151) &
% 33.03/5.46 | | | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158,
% 33.03/5.46 | | | | e2) = all_4_127 & op(e2, e2) = all_4_161 & op(e0,
% 33.03/5.46 | | | | all_4_161) = all_4_126 & op(e0, e2) = all_4_158 &
% 33.03/5.46 | | | | $i(all_4_126) & $i(all_4_127) & $i(all_4_158) &
% 33.03/5.46 | | | | $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) & op(all_4_158,
% 33.03/5.46 | | | | e1) = all_4_129 & op(e2, e1) = all_4_152 & op(e0,
% 33.03/5.46 | | | | all_4_152) = all_4_128 & op(e0, e2) = all_4_158 &
% 33.03/5.46 | | | | $i(all_4_128) & $i(all_4_129) & $i(all_4_152) &
% 33.03/5.46 | | | | $i(all_4_158))
% 33.03/5.46 | | | |
% 33.03/5.46 | | | | BETA: splitting (781) gives:
% 33.03/5.46 | | | |
% 33.03/5.46 | | | | Case 1:
% 33.03/5.46 | | | | |
% 33.03/5.46 | | | | | (782) ( ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 &
% 33.03/5.46 | | | | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 &
% 33.03/5.46 | | | | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~
% 33.03/5.46 | | | | | (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 &
% 33.03/5.46 | | | | | op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) &
% 33.03/5.46 | | | | | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 =
% 33.03/5.46 | | | | | all_4_109) & op(all_4_156, e3) = all_4_109 & op(e0, e3) =
% 33.03/5.46 | | | | | all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, e0) =
% 33.03/5.46 | | | | | all_4_156 & $i(all_4_108) & $i(all_4_109) & $i(all_4_156) &
% 33.03/5.46 | | | | | $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) &
% 33.03/5.46 | | | | | op(all_4_156, e2) = all_4_111 & op(e0, e2) = all_4_158 &
% 33.03/5.46 | | | | | op(e1, all_4_158) = all_4_110 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) &
% 33.03/5.46 | | | | | $i(all_4_158)) | ( ~ (all_4_112 = all_4_113) &
% 33.03/5.46 | | | | | op(all_4_156, e1) = all_4_113 & op(e0, e1) = all_4_159 &
% 33.03/5.46 | | | | | op(e1, all_4_159) = all_4_112 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | | $i(all_4_112) & $i(all_4_113) & $i(all_4_156) &
% 33.03/5.46 | | | | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) &
% 33.03/5.46 | | | | | op(all_4_156, e0) = all_4_115 & op(e0, e0) = all_4_163 &
% 33.03/5.46 | | | | | op(e1, all_4_163) = all_4_114 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | | $i(all_4_114) & $i(all_4_115) & $i(all_4_156) &
% 33.03/5.46 | | | | | $i(all_4_163))
% 33.03/5.46 | | | | |
% 33.03/5.46 | | | | | BETA: splitting (782) gives:
% 33.03/5.46 | | | | |
% 33.03/5.46 | | | | | Case 1:
% 33.03/5.46 | | | | | |
% 33.03/5.46 | | | | | | (783) ( ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105
% 33.03/5.46 | | | | | | & op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162
% 33.03/5.46 | | | | | | & $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~
% 33.03/5.46 | | | | | | (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 &
% 33.03/5.46 | | | | | | op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 &
% 33.03/5.46 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) &
% 33.03/5.46 | | | | | | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 =
% 33.03/5.46 | | | | | | all_4_109) & op(all_4_156, e3) = all_4_109 & op(e0, e3)
% 33.03/5.46 | | | | | | = all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, e0)
% 33.03/5.46 | | | | | | = all_4_156 & $i(all_4_108) & $i(all_4_109) &
% 33.03/5.46 | | | | | | $i(all_4_156) & $i(all_4_157))
% 33.03/5.46 | | | | | |
% 33.03/5.46 | | | | | | BETA: splitting (783) gives:
% 33.03/5.46 | | | | | |
% 33.03/5.46 | | | | | | Case 1:
% 33.03/5.46 | | | | | | |
% 33.03/5.46 | | | | | | | (784) ~ (all_4_104 = all_4_105) & op(all_4_162, e1) =
% 33.03/5.46 | | | | | | | all_4_105 & op(e1, all_4_162) = all_4_104 & op(e1, e1) =
% 33.03/5.46 | | | | | | | all_4_162 & $i(all_4_104) & $i(all_4_105) & $i(all_4_162)
% 33.03/5.46 | | | | | | |
% 33.03/5.46 | | | | | | | ALPHA: (784) implies:
% 33.03/5.46 | | | | | | | (785) ~ (all_4_104 = all_4_105)
% 33.03/5.46 | | | | | | | (786) op(e1, e1) = all_4_162
% 33.03/5.46 | | | | | | | (787) op(e1, all_4_162) = all_4_104
% 33.03/5.47 | | | | | | | (788) op(all_4_162, e1) = all_4_105
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.03/5.47 | | | | | | | simplifying with (4), (786) gives:
% 33.03/5.47 | | | | | | | (789) all_4_162 = e3
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | REDUCE: (788), (789) imply:
% 33.03/5.47 | | | | | | | (790) op(e3, e1) = all_4_105
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | REDUCE: (787), (789) imply:
% 33.03/5.47 | | | | | | | (791) op(e1, e3) = all_4_104
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_104, e3, e1,
% 33.03/5.47 | | | | | | | simplifying with (7), (791) gives:
% 33.03/5.47 | | | | | | | (792) all_4_104 = e2
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_105, e1, e3,
% 33.03/5.47 | | | | | | | simplifying with (16), (790) gives:
% 33.03/5.47 | | | | | | | (793) all_4_105 = e2
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | REDUCE: (785), (792), (793) imply:
% 33.03/5.47 | | | | | | | (794) $false
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | CLOSE: (794) is inconsistent.
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | Case 2:
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | (795) ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) =
% 33.03/5.47 | | | | | | | all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0)
% 33.03/5.47 | | | | | | | = all_4_156 & op(e1, e1) = all_4_162 & $i(all_4_106) &
% 33.03/5.47 | | | | | | | $i(all_4_107) & $i(all_4_156) & $i(all_4_162)) | ( ~
% 33.03/5.47 | | | | | | | (all_4_108 = all_4_109) & op(all_4_156, e3) = all_4_109
% 33.03/5.47 | | | | | | | & op(e0, e3) = all_4_157 & op(e1, all_4_157) =
% 33.03/5.47 | | | | | | | all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) &
% 33.03/5.47 | | | | | | | $i(all_4_109) & $i(all_4_156) & $i(all_4_157))
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | BETA: splitting (795) gives:
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | | Case 1:
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | (796) ~ (all_4_106 = all_4_107) & op(all_4_162, e0) =
% 33.03/5.47 | | | | | | | | all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0)
% 33.03/5.47 | | | | | | | | = all_4_156 & op(e1, e1) = all_4_162 & $i(all_4_106) &
% 33.03/5.47 | | | | | | | | $i(all_4_107) & $i(all_4_156) & $i(all_4_162)
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | ALPHA: (796) implies:
% 33.03/5.47 | | | | | | | | (797) ~ (all_4_106 = all_4_107)
% 33.03/5.47 | | | | | | | | (798) op(e1, e1) = all_4_162
% 33.03/5.47 | | | | | | | | (799) op(e1, e0) = all_4_156
% 33.03/5.47 | | | | | | | | (800) op(e1, all_4_156) = all_4_106
% 33.03/5.47 | | | | | | | | (801) op(all_4_162, e0) = all_4_107
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.03/5.47 | | | | | | | | simplifying with (4), (798) gives:
% 33.03/5.47 | | | | | | | | (802) all_4_162 = e3
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.03/5.47 | | | | | | | | simplifying with (5), (799) gives:
% 33.03/5.47 | | | | | | | | (803) all_4_156 = e1
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (801), (802) imply:
% 33.03/5.47 | | | | | | | | (804) op(e3, e0) = all_4_107
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (800), (803) imply:
% 33.03/5.47 | | | | | | | | (805) op(e1, e1) = all_4_106
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_106, e1, e1,
% 33.03/5.47 | | | | | | | | simplifying with (4), (805) gives:
% 33.03/5.47 | | | | | | | | (806) all_4_106 = e3
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_107, e0, e3,
% 33.03/5.47 | | | | | | | | simplifying with (17), (804) gives:
% 33.03/5.47 | | | | | | | | (807) all_4_107 = e3
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (797), (806), (807) imply:
% 33.03/5.47 | | | | | | | | (808) $false
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | CLOSE: (808) is inconsistent.
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | Case 2:
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | (809) ~ (all_4_108 = all_4_109) & op(all_4_156, e3) =
% 33.03/5.47 | | | | | | | | all_4_109 & op(e0, e3) = all_4_157 & op(e1, all_4_157)
% 33.03/5.47 | | | | | | | | = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) &
% 33.03/5.47 | | | | | | | | $i(all_4_109) & $i(all_4_156) & $i(all_4_157)
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | ALPHA: (809) implies:
% 33.03/5.47 | | | | | | | | (810) ~ (all_4_108 = all_4_109)
% 33.03/5.47 | | | | | | | | (811) op(e1, e0) = all_4_156
% 33.03/5.47 | | | | | | | | (812) op(e1, all_4_157) = all_4_108
% 33.03/5.47 | | | | | | | | (813) op(e0, e3) = all_4_157
% 33.03/5.47 | | | | | | | | (814) op(all_4_156, e3) = all_4_109
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.03/5.47 | | | | | | | | simplifying with (5), (811) gives:
% 33.03/5.47 | | | | | | | | (815) all_4_156 = e1
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.03/5.47 | | | | | | | | simplifying with (11), (813) gives:
% 33.03/5.47 | | | | | | | | (816) all_4_157 = e3
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (814), (815) imply:
% 33.03/5.47 | | | | | | | | (817) op(e1, e3) = all_4_109
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (812), (816) imply:
% 33.03/5.47 | | | | | | | | (818) op(e1, e3) = all_4_108
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_108, e3, e1,
% 33.03/5.47 | | | | | | | | simplifying with (7), (818) gives:
% 33.03/5.47 | | | | | | | | (819) all_4_108 = e2
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | GROUND_INST: instantiating (27) with all_4_109, all_4_108, e3,
% 33.03/5.47 | | | | | | | | e1, simplifying with (817), (818) gives:
% 33.03/5.47 | | | | | | | | (820) all_4_108 = all_4_109
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | COMBINE_EQS: (819), (820) imply:
% 33.03/5.47 | | | | | | | | (821) all_4_109 = e2
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | REDUCE: (810), (819), (821) imply:
% 33.03/5.47 | | | | | | | | (822) $false
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | | CLOSE: (822) is inconsistent.
% 33.03/5.47 | | | | | | | |
% 33.03/5.47 | | | | | | | End of split
% 33.03/5.47 | | | | | | |
% 33.03/5.47 | | | | | | End of split
% 33.03/5.47 | | | | | |
% 33.03/5.47 | | | | | Case 2:
% 33.03/5.47 | | | | | |
% 33.03/5.48 | | | | | | (823) ( ~ (all_4_110 = all_4_111) & op(all_4_156, e2) = all_4_111
% 33.03/5.48 | | | | | | & op(e0, e2) = all_4_158 & op(e1, all_4_158) = all_4_110
% 33.03/5.48 | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_110) & $i(all_4_111)
% 33.03/5.48 | | | | | | & $i(all_4_156) & $i(all_4_158)) | ( ~ (all_4_112 =
% 33.03/5.48 | | | | | | all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1)
% 33.03/5.48 | | | | | | = all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0)
% 33.03/5.48 | | | | | | = all_4_156 & $i(all_4_112) & $i(all_4_113) &
% 33.03/5.48 | | | | | | $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_114 =
% 33.03/5.48 | | | | | | all_4_115) & op(all_4_156, e0) = all_4_115 & op(e0, e0)
% 33.03/5.48 | | | | | | = all_4_163 & op(e1, all_4_163) = all_4_114 & op(e1, e0)
% 33.03/5.48 | | | | | | = all_4_156 & $i(all_4_114) & $i(all_4_115) &
% 33.03/5.48 | | | | | | $i(all_4_156) & $i(all_4_163))
% 33.03/5.48 | | | | | |
% 33.03/5.48 | | | | | | BETA: splitting (823) gives:
% 33.03/5.48 | | | | | |
% 33.03/5.48 | | | | | | Case 1:
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | (824) ~ (all_4_110 = all_4_111) & op(all_4_156, e2) =
% 33.03/5.48 | | | | | | | all_4_111 & op(e0, e2) = all_4_158 & op(e1, all_4_158) =
% 33.03/5.48 | | | | | | | all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) &
% 33.03/5.48 | | | | | | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158)
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | ALPHA: (824) implies:
% 33.03/5.48 | | | | | | | (825) ~ (all_4_110 = all_4_111)
% 33.03/5.48 | | | | | | | (826) op(e1, e0) = all_4_156
% 33.03/5.48 | | | | | | | (827) op(e1, all_4_158) = all_4_110
% 33.03/5.48 | | | | | | | (828) op(e0, e2) = all_4_158
% 33.03/5.48 | | | | | | | (829) op(all_4_156, e2) = all_4_111
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.03/5.48 | | | | | | | simplifying with (5), (826) gives:
% 33.03/5.48 | | | | | | | (830) all_4_156 = e1
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.03/5.48 | | | | | | | simplifying with (10), (828) gives:
% 33.03/5.48 | | | | | | | (831) all_4_158 = e2
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | REDUCE: (829), (830) imply:
% 33.03/5.48 | | | | | | | (832) op(e1, e2) = all_4_111
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | REDUCE: (827), (831) imply:
% 33.03/5.48 | | | | | | | (833) op(e1, e2) = all_4_110
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_110, e2, e1,
% 33.03/5.48 | | | | | | | simplifying with (6), (833) gives:
% 33.03/5.48 | | | | | | | (834) all_4_110 = e0
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | GROUND_INST: instantiating (27) with all_4_111, all_4_110, e2, e1,
% 33.03/5.48 | | | | | | | simplifying with (832), (833) gives:
% 33.03/5.48 | | | | | | | (835) all_4_110 = all_4_111
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | COMBINE_EQS: (834), (835) imply:
% 33.03/5.48 | | | | | | | (836) all_4_111 = e0
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | REDUCE: (825), (834), (836) imply:
% 33.03/5.48 | | | | | | | (837) $false
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | CLOSE: (837) is inconsistent.
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | Case 2:
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | (838) ( ~ (all_4_112 = all_4_113) & op(all_4_156, e1) =
% 33.03/5.48 | | | | | | | all_4_113 & op(e0, e1) = all_4_159 & op(e1, all_4_159)
% 33.03/5.48 | | | | | | | = all_4_112 & op(e1, e0) = all_4_156 & $i(all_4_112) &
% 33.03/5.48 | | | | | | | $i(all_4_113) & $i(all_4_156) & $i(all_4_159)) | ( ~
% 33.03/5.48 | | | | | | | (all_4_114 = all_4_115) & op(all_4_156, e0) = all_4_115
% 33.03/5.48 | | | | | | | & op(e0, e0) = all_4_163 & op(e1, all_4_163) =
% 33.03/5.48 | | | | | | | all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) &
% 33.03/5.48 | | | | | | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163))
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | BETA: splitting (838) gives:
% 33.03/5.48 | | | | | | |
% 33.03/5.48 | | | | | | | Case 1:
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | (839) ~ (all_4_112 = all_4_113) & op(all_4_156, e1) =
% 33.03/5.48 | | | | | | | | all_4_113 & op(e0, e1) = all_4_159 & op(e1, all_4_159)
% 33.03/5.48 | | | | | | | | = all_4_112 & op(e1, e0) = all_4_156 & $i(all_4_112) &
% 33.03/5.48 | | | | | | | | $i(all_4_113) & $i(all_4_156) & $i(all_4_159)
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | ALPHA: (839) implies:
% 33.03/5.48 | | | | | | | | (840) ~ (all_4_112 = all_4_113)
% 33.03/5.48 | | | | | | | | (841) op(e1, e0) = all_4_156
% 33.03/5.48 | | | | | | | | (842) op(e1, all_4_159) = all_4_112
% 33.03/5.48 | | | | | | | | (843) op(e0, e1) = all_4_159
% 33.03/5.48 | | | | | | | | (844) op(all_4_156, e1) = all_4_113
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.03/5.48 | | | | | | | | simplifying with (5), (841) gives:
% 33.03/5.48 | | | | | | | | (845) all_4_156 = e1
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.03/5.48 | | | | | | | | simplifying with (8), (843) gives:
% 33.03/5.48 | | | | | | | | (846) all_4_159 = e1
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | REDUCE: (844), (845) imply:
% 33.03/5.48 | | | | | | | | (847) op(e1, e1) = all_4_113
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | REDUCE: (842), (846) imply:
% 33.03/5.48 | | | | | | | | (848) op(e1, e1) = all_4_112
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_112, e1, e1,
% 33.03/5.48 | | | | | | | | simplifying with (4), (848) gives:
% 33.03/5.48 | | | | | | | | (849) all_4_112 = e3
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with all_4_113, all_4_112, e1,
% 33.03/5.48 | | | | | | | | e1, simplifying with (847), (848) gives:
% 33.03/5.48 | | | | | | | | (850) all_4_112 = all_4_113
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | COMBINE_EQS: (849), (850) imply:
% 33.03/5.48 | | | | | | | | (851) all_4_113 = e3
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | REDUCE: (840), (849), (851) imply:
% 33.03/5.48 | | | | | | | | (852) $false
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | CLOSE: (852) is inconsistent.
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | Case 2:
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | (853) ~ (all_4_114 = all_4_115) & op(all_4_156, e0) =
% 33.03/5.48 | | | | | | | | all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163)
% 33.03/5.48 | | | | | | | | = all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) &
% 33.03/5.48 | | | | | | | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163)
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | ALPHA: (853) implies:
% 33.03/5.48 | | | | | | | | (854) ~ (all_4_114 = all_4_115)
% 33.03/5.48 | | | | | | | | (855) op(e1, e0) = all_4_156
% 33.03/5.48 | | | | | | | | (856) op(e1, all_4_163) = all_4_114
% 33.03/5.48 | | | | | | | | (857) op(e0, e0) = all_4_163
% 33.03/5.48 | | | | | | | | (858) op(all_4_156, e0) = all_4_115
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.03/5.48 | | | | | | | | simplifying with (5), (855) gives:
% 33.03/5.48 | | | | | | | | (859) all_4_156 = e1
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.03/5.48 | | | | | | | | simplifying with (9), (857) gives:
% 33.03/5.48 | | | | | | | | (860) all_4_163 = e0
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | REDUCE: (858), (859) imply:
% 33.03/5.48 | | | | | | | | (861) op(e1, e0) = all_4_115
% 33.03/5.48 | | | | | | | |
% 33.03/5.48 | | | | | | | | REDUCE: (856), (860) imply:
% 33.03/5.48 | | | | | | | | (862) op(e1, e0) = all_4_114
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_114, e0, e1,
% 33.03/5.49 | | | | | | | | simplifying with (5), (862) gives:
% 33.03/5.49 | | | | | | | | (863) all_4_114 = e1
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | GROUND_INST: instantiating (27) with all_4_115, all_4_114, e0,
% 33.03/5.49 | | | | | | | | e1, simplifying with (861), (862) gives:
% 33.03/5.49 | | | | | | | | (864) all_4_114 = all_4_115
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | COMBINE_EQS: (863), (864) imply:
% 33.03/5.49 | | | | | | | | (865) all_4_115 = e1
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | REDUCE: (854), (863), (865) imply:
% 33.03/5.49 | | | | | | | | (866) $false
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | CLOSE: (866) is inconsistent.
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | End of split
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | End of split
% 33.03/5.49 | | | | | |
% 33.03/5.49 | | | | | End of split
% 33.03/5.49 | | | | |
% 33.03/5.49 | | | | Case 2:
% 33.03/5.49 | | | | |
% 33.03/5.49 | | | | | (867) ( ~ (all_4_116 = all_4_117) & op(all_4_157, e3) = all_4_117 &
% 33.03/5.49 | | | | | op(e3, e3) = all_4_160 & op(e0, all_4_160) = all_4_116 &
% 33.03/5.49 | | | | | op(e0, e3) = all_4_157 & $i(all_4_116) & $i(all_4_117) &
% 33.03/5.49 | | | | | $i(all_4_157) & $i(all_4_160)) | ( ~ (all_4_118 =
% 33.03/5.49 | | | | | all_4_119) & op(all_4_157, e2) = all_4_119 & op(e3, e2) =
% 33.03/5.49 | | | | | all_4_148 & op(e0, all_4_148) = all_4_118 & op(e0, e3) =
% 33.03/5.49 | | | | | all_4_157 & $i(all_4_118) & $i(all_4_119) & $i(all_4_148) &
% 33.03/5.49 | | | | | $i(all_4_157)) | ( ~ (all_4_120 = all_4_121) &
% 33.03/5.49 | | | | | op(all_4_157, e1) = all_4_121 & op(e3, e1) = all_4_149 &
% 33.03/5.49 | | | | | op(e0, all_4_149) = all_4_120 & op(e0, e3) = all_4_157 &
% 33.03/5.49 | | | | | $i(all_4_120) & $i(all_4_121) & $i(all_4_149) &
% 33.03/5.49 | | | | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) &
% 33.03/5.49 | | | | | op(all_4_157, e0) = all_4_123 & op(e3, e0) = all_4_150 &
% 33.03/5.49 | | | | | op(e0, all_4_150) = all_4_122 & op(e0, e3) = all_4_157 &
% 33.03/5.49 | | | | | $i(all_4_122) & $i(all_4_123) & $i(all_4_150) &
% 33.03/5.49 | | | | | $i(all_4_157)) | ( ~ (all_4_124 = all_4_125) &
% 33.03/5.49 | | | | | op(all_4_158, e3) = all_4_125 & op(e2, e3) = all_4_151 &
% 33.03/5.49 | | | | | op(e0, all_4_151) = all_4_124 & op(e0, e2) = all_4_158 &
% 33.03/5.49 | | | | | $i(all_4_124) & $i(all_4_125) & $i(all_4_151) &
% 33.03/5.49 | | | | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) &
% 33.03/5.49 | | | | | op(all_4_158, e2) = all_4_127 & op(e2, e2) = all_4_161 &
% 33.03/5.49 | | | | | op(e0, all_4_161) = all_4_126 & op(e0, e2) = all_4_158 &
% 33.03/5.49 | | | | | $i(all_4_126) & $i(all_4_127) & $i(all_4_158) &
% 33.03/5.49 | | | | | $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) &
% 33.03/5.49 | | | | | op(all_4_158, e1) = all_4_129 & op(e2, e1) = all_4_152 &
% 33.03/5.49 | | | | | op(e0, all_4_152) = all_4_128 & op(e0, e2) = all_4_158 &
% 33.03/5.49 | | | | | $i(all_4_128) & $i(all_4_129) & $i(all_4_152) &
% 33.03/5.49 | | | | | $i(all_4_158))
% 33.03/5.49 | | | | |
% 33.03/5.49 | | | | | BETA: splitting (867) gives:
% 33.03/5.49 | | | | |
% 33.03/5.49 | | | | | Case 1:
% 33.03/5.49 | | | | | |
% 33.03/5.49 | | | | | | (868) ( ~ (all_4_116 = all_4_117) & op(all_4_157, e3) = all_4_117
% 33.03/5.49 | | | | | | & op(e3, e3) = all_4_160 & op(e0, all_4_160) = all_4_116
% 33.03/5.49 | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_116) & $i(all_4_117)
% 33.03/5.49 | | | | | | & $i(all_4_157) & $i(all_4_160)) | ( ~ (all_4_118 =
% 33.03/5.49 | | | | | | all_4_119) & op(all_4_157, e2) = all_4_119 & op(e3, e2)
% 33.03/5.49 | | | | | | = all_4_148 & op(e0, all_4_148) = all_4_118 & op(e0, e3)
% 33.03/5.49 | | | | | | = all_4_157 & $i(all_4_118) & $i(all_4_119) &
% 33.03/5.49 | | | | | | $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 =
% 33.03/5.49 | | | | | | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1)
% 33.03/5.49 | | | | | | = all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3)
% 33.03/5.49 | | | | | | = all_4_157 & $i(all_4_120) & $i(all_4_121) &
% 33.03/5.49 | | | | | | $i(all_4_149) & $i(all_4_157))
% 33.03/5.49 | | | | | |
% 33.03/5.49 | | | | | | BETA: splitting (868) gives:
% 33.03/5.49 | | | | | |
% 33.03/5.49 | | | | | | Case 1:
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | (869) ~ (all_4_116 = all_4_117) & op(all_4_157, e3) =
% 33.03/5.49 | | | | | | | all_4_117 & op(e3, e3) = all_4_160 & op(e0, all_4_160) =
% 33.03/5.49 | | | | | | | all_4_116 & op(e0, e3) = all_4_157 & $i(all_4_116) &
% 33.03/5.49 | | | | | | | $i(all_4_117) & $i(all_4_157) & $i(all_4_160)
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | ALPHA: (869) implies:
% 33.03/5.49 | | | | | | | (870) ~ (all_4_116 = all_4_117)
% 33.03/5.49 | | | | | | | (871) op(e0, e3) = all_4_157
% 33.03/5.49 | | | | | | | (872) op(e0, all_4_160) = all_4_116
% 33.03/5.49 | | | | | | | (873) op(e3, e3) = all_4_160
% 33.03/5.49 | | | | | | | (874) op(all_4_157, e3) = all_4_117
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.03/5.49 | | | | | | | simplifying with (11), (871) gives:
% 33.03/5.49 | | | | | | | (875) all_4_157 = e3
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 33.03/5.49 | | | | | | | simplifying with (19), (873) gives:
% 33.03/5.49 | | | | | | | (876) all_4_160 = e0
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | REDUCE: (874), (875) imply:
% 33.03/5.49 | | | | | | | (877) op(e3, e3) = all_4_117
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | REDUCE: (872), (876) imply:
% 33.03/5.49 | | | | | | | (878) op(e0, e0) = all_4_116
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_116, e0, e0,
% 33.03/5.49 | | | | | | | simplifying with (9), (878) gives:
% 33.03/5.49 | | | | | | | (879) all_4_116 = e0
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_117, e3, e3,
% 33.03/5.49 | | | | | | | simplifying with (19), (877) gives:
% 33.03/5.49 | | | | | | | (880) all_4_117 = e0
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | REDUCE: (870), (879), (880) imply:
% 33.03/5.49 | | | | | | | (881) $false
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | CLOSE: (881) is inconsistent.
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | Case 2:
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | (882) ( ~ (all_4_118 = all_4_119) & op(all_4_157, e2) =
% 33.03/5.49 | | | | | | | all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148)
% 33.03/5.49 | | | | | | | = all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) &
% 33.03/5.49 | | | | | | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~
% 33.03/5.49 | | | | | | | (all_4_120 = all_4_121) & op(all_4_157, e1) = all_4_121
% 33.03/5.49 | | | | | | | & op(e3, e1) = all_4_149 & op(e0, all_4_149) =
% 33.03/5.49 | | | | | | | all_4_120 & op(e0, e3) = all_4_157 & $i(all_4_120) &
% 33.03/5.49 | | | | | | | $i(all_4_121) & $i(all_4_149) & $i(all_4_157))
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | BETA: splitting (882) gives:
% 33.03/5.49 | | | | | | |
% 33.03/5.49 | | | | | | | Case 1:
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | (883) ~ (all_4_118 = all_4_119) & op(all_4_157, e2) =
% 33.03/5.49 | | | | | | | | all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148)
% 33.03/5.49 | | | | | | | | = all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) &
% 33.03/5.49 | | | | | | | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)
% 33.03/5.49 | | | | | | | |
% 33.03/5.49 | | | | | | | | ALPHA: (883) implies:
% 33.41/5.49 | | | | | | | | (884) ~ (all_4_118 = all_4_119)
% 33.41/5.49 | | | | | | | | (885) op(e0, e3) = all_4_157
% 33.41/5.49 | | | | | | | | (886) op(e0, all_4_148) = all_4_118
% 33.41/5.49 | | | | | | | | (887) op(e3, e2) = all_4_148
% 33.41/5.49 | | | | | | | | (888) op(all_4_157, e2) = all_4_119
% 33.41/5.49 | | | | | | | |
% 33.41/5.49 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.41/5.50 | | | | | | | | simplifying with (11), (885) gives:
% 33.41/5.50 | | | | | | | | (889) all_4_157 = e3
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 33.41/5.50 | | | | | | | | simplifying with (18), (887) gives:
% 33.41/5.50 | | | | | | | | (890) all_4_148 = e1
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (888), (889) imply:
% 33.41/5.50 | | | | | | | | (891) op(e3, e2) = all_4_119
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (886), (890) imply:
% 33.41/5.50 | | | | | | | | (892) op(e0, e1) = all_4_118
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_118, e1, e0,
% 33.41/5.50 | | | | | | | | simplifying with (8), (892) gives:
% 33.41/5.50 | | | | | | | | (893) all_4_118 = e1
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_119, e2, e3,
% 33.41/5.50 | | | | | | | | simplifying with (18), (891) gives:
% 33.41/5.50 | | | | | | | | (894) all_4_119 = e1
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (884), (893), (894) imply:
% 33.41/5.50 | | | | | | | | (895) $false
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | CLOSE: (895) is inconsistent.
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | Case 2:
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | (896) ~ (all_4_120 = all_4_121) & op(all_4_157, e1) =
% 33.41/5.50 | | | | | | | | all_4_121 & op(e3, e1) = all_4_149 & op(e0, all_4_149)
% 33.41/5.50 | | | | | | | | = all_4_120 & op(e0, e3) = all_4_157 & $i(all_4_120) &
% 33.41/5.50 | | | | | | | | $i(all_4_121) & $i(all_4_149) & $i(all_4_157)
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | ALPHA: (896) implies:
% 33.41/5.50 | | | | | | | | (897) ~ (all_4_120 = all_4_121)
% 33.41/5.50 | | | | | | | | (898) op(e0, e3) = all_4_157
% 33.41/5.50 | | | | | | | | (899) op(e0, all_4_149) = all_4_120
% 33.41/5.50 | | | | | | | | (900) op(e3, e1) = all_4_149
% 33.41/5.50 | | | | | | | | (901) op(all_4_157, e1) = all_4_121
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.41/5.50 | | | | | | | | simplifying with (11), (898) gives:
% 33.41/5.50 | | | | | | | | (902) all_4_157 = e3
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 33.41/5.50 | | | | | | | | simplifying with (16), (900) gives:
% 33.41/5.50 | | | | | | | | (903) all_4_149 = e2
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (901), (902) imply:
% 33.41/5.50 | | | | | | | | (904) op(e3, e1) = all_4_121
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (899), (903) imply:
% 33.41/5.50 | | | | | | | | (905) op(e0, e2) = all_4_120
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_120, e2, e0,
% 33.41/5.50 | | | | | | | | simplifying with (10), (905) gives:
% 33.41/5.50 | | | | | | | | (906) all_4_120 = e2
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_121, e1, e3,
% 33.41/5.50 | | | | | | | | simplifying with (16), (904) gives:
% 33.41/5.50 | | | | | | | | (907) all_4_121 = e2
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (897), (906), (907) imply:
% 33.41/5.50 | | | | | | | | (908) $false
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | CLOSE: (908) is inconsistent.
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | End of split
% 33.41/5.50 | | | | | | |
% 33.41/5.50 | | | | | | End of split
% 33.41/5.50 | | | | | |
% 33.41/5.50 | | | | | Case 2:
% 33.41/5.50 | | | | | |
% 33.41/5.50 | | | | | | (909) ( ~ (all_4_122 = all_4_123) & op(all_4_157, e0) = all_4_123
% 33.41/5.50 | | | | | | & op(e3, e0) = all_4_150 & op(e0, all_4_150) = all_4_122
% 33.41/5.50 | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_122) & $i(all_4_123)
% 33.41/5.50 | | | | | | & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_124 =
% 33.41/5.50 | | | | | | all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2, e3)
% 33.41/5.50 | | | | | | = all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2)
% 33.41/5.50 | | | | | | = all_4_158 & $i(all_4_124) & $i(all_4_125) &
% 33.41/5.50 | | | | | | $i(all_4_151) & $i(all_4_158)) | ( ~ (all_4_126 =
% 33.41/5.50 | | | | | | all_4_127) & op(all_4_158, e2) = all_4_127 & op(e2, e2)
% 33.41/5.50 | | | | | | = all_4_161 & op(e0, all_4_161) = all_4_126 & op(e0, e2)
% 33.41/5.50 | | | | | | = all_4_158 & $i(all_4_126) & $i(all_4_127) &
% 33.41/5.50 | | | | | | $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 =
% 33.41/5.50 | | | | | | all_4_129) & op(all_4_158, e1) = all_4_129 & op(e2, e1)
% 33.41/5.50 | | | | | | = all_4_152 & op(e0, all_4_152) = all_4_128 & op(e0, e2)
% 33.41/5.50 | | | | | | = all_4_158 & $i(all_4_128) & $i(all_4_129) &
% 33.41/5.50 | | | | | | $i(all_4_152) & $i(all_4_158))
% 33.41/5.50 | | | | | |
% 33.41/5.50 | | | | | | BETA: splitting (909) gives:
% 33.41/5.50 | | | | | |
% 33.41/5.50 | | | | | | Case 1:
% 33.41/5.50 | | | | | | |
% 33.41/5.50 | | | | | | | (910) ( ~ (all_4_122 = all_4_123) & op(all_4_157, e0) =
% 33.41/5.50 | | | | | | | all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150)
% 33.41/5.50 | | | | | | | = all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) &
% 33.41/5.50 | | | | | | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | ( ~
% 33.41/5.50 | | | | | | | (all_4_124 = all_4_125) & op(all_4_158, e3) = all_4_125
% 33.41/5.50 | | | | | | | & op(e2, e3) = all_4_151 & op(e0, all_4_151) =
% 33.41/5.50 | | | | | | | all_4_124 & op(e0, e2) = all_4_158 & $i(all_4_124) &
% 33.41/5.50 | | | | | | | $i(all_4_125) & $i(all_4_151) & $i(all_4_158))
% 33.41/5.50 | | | | | | |
% 33.41/5.50 | | | | | | | BETA: splitting (910) gives:
% 33.41/5.50 | | | | | | |
% 33.41/5.50 | | | | | | | Case 1:
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | (911) ~ (all_4_122 = all_4_123) & op(all_4_157, e0) =
% 33.41/5.50 | | | | | | | | all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150)
% 33.41/5.50 | | | | | | | | = all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) &
% 33.41/5.50 | | | | | | | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | ALPHA: (911) implies:
% 33.41/5.50 | | | | | | | | (912) ~ (all_4_122 = all_4_123)
% 33.41/5.50 | | | | | | | | (913) op(e0, e3) = all_4_157
% 33.41/5.50 | | | | | | | | (914) op(e0, all_4_150) = all_4_122
% 33.41/5.50 | | | | | | | | (915) op(e3, e0) = all_4_150
% 33.41/5.50 | | | | | | | | (916) op(all_4_157, e0) = all_4_123
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.41/5.50 | | | | | | | | simplifying with (11), (913) gives:
% 33.41/5.50 | | | | | | | | (917) all_4_157 = e3
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 33.41/5.50 | | | | | | | | simplifying with (17), (915) gives:
% 33.41/5.50 | | | | | | | | (918) all_4_150 = e3
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (916), (917) imply:
% 33.41/5.50 | | | | | | | | (919) op(e3, e0) = all_4_123
% 33.41/5.50 | | | | | | | |
% 33.41/5.50 | | | | | | | | REDUCE: (914), (918) imply:
% 33.41/5.51 | | | | | | | | (920) op(e0, e3) = all_4_122
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_122, e3, e0,
% 33.41/5.51 | | | | | | | | simplifying with (11), (920) gives:
% 33.41/5.51 | | | | | | | | (921) all_4_122 = e3
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_123, e0, e3,
% 33.41/5.51 | | | | | | | | simplifying with (17), (919) gives:
% 33.41/5.51 | | | | | | | | (922) all_4_123 = e3
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (912), (921), (922) imply:
% 33.41/5.51 | | | | | | | | (923) $false
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | CLOSE: (923) is inconsistent.
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | Case 2:
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | (924) ~ (all_4_124 = all_4_125) & op(all_4_158, e3) =
% 33.41/5.51 | | | | | | | | all_4_125 & op(e2, e3) = all_4_151 & op(e0, all_4_151)
% 33.41/5.51 | | | | | | | | = all_4_124 & op(e0, e2) = all_4_158 & $i(all_4_124) &
% 33.41/5.51 | | | | | | | | $i(all_4_125) & $i(all_4_151) & $i(all_4_158)
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | ALPHA: (924) implies:
% 33.41/5.51 | | | | | | | | (925) ~ (all_4_124 = all_4_125)
% 33.41/5.51 | | | | | | | | (926) op(e0, e2) = all_4_158
% 33.41/5.51 | | | | | | | | (927) op(e0, all_4_151) = all_4_124
% 33.41/5.51 | | | | | | | | (928) op(e2, e3) = all_4_151
% 33.41/5.51 | | | | | | | | (929) op(all_4_158, e3) = all_4_125
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.41/5.51 | | | | | | | | simplifying with (10), (926) gives:
% 33.41/5.51 | | | | | | | | (930) all_4_158 = e2
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 33.41/5.51 | | | | | | | | simplifying with (15), (928) gives:
% 33.41/5.51 | | | | | | | | (931) all_4_151 = e1
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (929), (930) imply:
% 33.41/5.51 | | | | | | | | (932) op(e2, e3) = all_4_125
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (927), (931) imply:
% 33.41/5.51 | | | | | | | | (933) op(e0, e1) = all_4_124
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_124, e1, e0,
% 33.41/5.51 | | | | | | | | simplifying with (8), (933) gives:
% 33.41/5.51 | | | | | | | | (934) all_4_124 = e1
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_125, e3, e2,
% 33.41/5.51 | | | | | | | | simplifying with (15), (932) gives:
% 33.41/5.51 | | | | | | | | (935) all_4_125 = e1
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (925), (934), (935) imply:
% 33.41/5.51 | | | | | | | | (936) $false
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | CLOSE: (936) is inconsistent.
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | End of split
% 33.41/5.51 | | | | | | |
% 33.41/5.51 | | | | | | Case 2:
% 33.41/5.51 | | | | | | |
% 33.41/5.51 | | | | | | | (937) ( ~ (all_4_126 = all_4_127) & op(all_4_158, e2) =
% 33.41/5.51 | | | | | | | all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161)
% 33.41/5.51 | | | | | | | = all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) &
% 33.41/5.51 | | | | | | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)) | ( ~
% 33.41/5.51 | | | | | | | (all_4_128 = all_4_129) & op(all_4_158, e1) = all_4_129
% 33.41/5.51 | | | | | | | & op(e2, e1) = all_4_152 & op(e0, all_4_152) =
% 33.41/5.51 | | | | | | | all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) &
% 33.41/5.51 | | | | | | | $i(all_4_129) & $i(all_4_152) & $i(all_4_158))
% 33.41/5.51 | | | | | | |
% 33.41/5.51 | | | | | | | BETA: splitting (937) gives:
% 33.41/5.51 | | | | | | |
% 33.41/5.51 | | | | | | | Case 1:
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | (938) ~ (all_4_126 = all_4_127) & op(all_4_158, e2) =
% 33.41/5.51 | | | | | | | | all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161)
% 33.41/5.51 | | | | | | | | = all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) &
% 33.41/5.51 | | | | | | | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | ALPHA: (938) implies:
% 33.41/5.51 | | | | | | | | (939) ~ (all_4_126 = all_4_127)
% 33.41/5.51 | | | | | | | | (940) op(e0, e2) = all_4_158
% 33.41/5.51 | | | | | | | | (941) op(e0, all_4_161) = all_4_126
% 33.41/5.51 | | | | | | | | (942) op(e2, e2) = all_4_161
% 33.41/5.51 | | | | | | | | (943) op(all_4_158, e2) = all_4_127
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.41/5.51 | | | | | | | | simplifying with (10), (940) gives:
% 33.41/5.51 | | | | | | | | (944) all_4_158 = e2
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 33.41/5.51 | | | | | | | | simplifying with (14), (942) gives:
% 33.41/5.51 | | | | | | | | (945) all_4_161 = e3
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (943), (944) imply:
% 33.41/5.51 | | | | | | | | (946) op(e2, e2) = all_4_127
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (941), (945) imply:
% 33.41/5.51 | | | | | | | | (947) op(e0, e3) = all_4_126
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_126, e3, e0,
% 33.41/5.51 | | | | | | | | simplifying with (11), (947) gives:
% 33.41/5.51 | | | | | | | | (948) all_4_126 = e3
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_127, e2, e2,
% 33.41/5.51 | | | | | | | | simplifying with (14), (946) gives:
% 33.41/5.51 | | | | | | | | (949) all_4_127 = e3
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | REDUCE: (939), (948), (949) imply:
% 33.41/5.51 | | | | | | | | (950) $false
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | CLOSE: (950) is inconsistent.
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | Case 2:
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | (951) ~ (all_4_128 = all_4_129) & op(all_4_158, e1) =
% 33.41/5.51 | | | | | | | | all_4_129 & op(e2, e1) = all_4_152 & op(e0, all_4_152)
% 33.41/5.51 | | | | | | | | = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) &
% 33.41/5.51 | | | | | | | | $i(all_4_129) & $i(all_4_152) & $i(all_4_158)
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | ALPHA: (951) implies:
% 33.41/5.51 | | | | | | | | (952) ~ (all_4_128 = all_4_129)
% 33.41/5.51 | | | | | | | | (953) op(e0, e2) = all_4_158
% 33.41/5.51 | | | | | | | | (954) op(e0, all_4_152) = all_4_128
% 33.41/5.51 | | | | | | | | (955) op(e2, e1) = all_4_152
% 33.41/5.51 | | | | | | | | (956) op(all_4_158, e1) = all_4_129
% 33.41/5.51 | | | | | | | |
% 33.41/5.51 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.41/5.51 | | | | | | | | simplifying with (10), (953) gives:
% 33.41/5.51 | | | | | | | | (957) all_4_158 = e2
% 33.41/5.51 | | | | | | | |
% 33.41/5.52 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 33.41/5.52 | | | | | | | | simplifying with (12), (955) gives:
% 33.41/5.52 | | | | | | | | (958) all_4_152 = e0
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | REDUCE: (956), (957) imply:
% 33.41/5.52 | | | | | | | | (959) op(e2, e1) = all_4_129
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | REDUCE: (954), (958) imply:
% 33.41/5.52 | | | | | | | | (960) op(e0, e0) = all_4_128
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_128, e0, e0,
% 33.41/5.52 | | | | | | | | simplifying with (9), (960) gives:
% 33.41/5.52 | | | | | | | | (961) all_4_128 = e0
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_129, e1, e2,
% 33.41/5.52 | | | | | | | | simplifying with (12), (959) gives:
% 33.41/5.52 | | | | | | | | (962) all_4_129 = e0
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | REDUCE: (952), (961), (962) imply:
% 33.41/5.52 | | | | | | | | (963) $false
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | | CLOSE: (963) is inconsistent.
% 33.41/5.52 | | | | | | | |
% 33.41/5.52 | | | | | | | End of split
% 33.41/5.52 | | | | | | |
% 33.41/5.52 | | | | | | End of split
% 33.41/5.52 | | | | | |
% 33.41/5.52 | | | | | End of split
% 33.41/5.52 | | | | |
% 33.41/5.52 | | | | End of split
% 33.41/5.52 | | | |
% 33.41/5.52 | | | End of split
% 33.41/5.52 | | |
% 33.41/5.52 | | Case 2:
% 33.41/5.52 | | |
% 33.41/5.52 | | | (964) ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0) = all_4_131 &
% 33.41/5.52 | | | op(e2, e0) = all_4_153 & op(e0, all_4_153) = all_4_130 & op(e0,
% 33.41/5.52 | | | e2) = all_4_158 & $i(all_4_130) & $i(all_4_131) &
% 33.41/5.52 | | | $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 = all_4_133) &
% 33.41/5.52 | | | op(all_4_159, e3) = all_4_133 & op(e0, all_4_154) = all_4_132 &
% 33.41/5.52 | | | op(e0, e1) = all_4_159 & op(e1, e3) = all_4_154 & $i(all_4_132)
% 33.41/5.52 | | | & $i(all_4_133) & $i(all_4_154) & $i(all_4_159)) | ( ~
% 33.41/5.52 | | | (all_4_134 = all_4_135) & op(all_4_159, e2) = all_4_135 &
% 33.41/5.52 | | | op(e0, all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.52 | | | e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) &
% 33.41/5.52 | | | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) &
% 33.41/5.52 | | | op(all_4_159, e1) = all_4_137 & op(e0, all_4_162) = all_4_136 &
% 33.41/5.52 | | | op(e0, e1) = all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136)
% 33.41/5.52 | | | & $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~
% 33.41/5.52 | | | (all_4_138 = all_4_139) & op(all_4_159, e0) = all_4_139 &
% 33.41/5.52 | | | op(e0, all_4_156) = all_4_138 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.52 | | | e0) = all_4_156 & $i(all_4_138) & $i(all_4_139) &
% 33.41/5.52 | | | $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_140 = all_4_141) &
% 33.41/5.52 | | | op(all_4_163, e3) = all_4_141 & op(e0, all_4_157) = all_4_140 &
% 33.41/5.52 | | | op(e0, e3) = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140)
% 33.41/5.52 | | | & $i(all_4_141) & $i(all_4_157) & $i(all_4_163)) | ( ~
% 33.41/5.52 | | | (all_4_142 = all_4_143) & op(all_4_163, e2) = all_4_143 &
% 33.41/5.52 | | | op(e0, all_4_158) = all_4_142 & op(e0, e2) = all_4_158 & op(e0,
% 33.41/5.52 | | | e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) &
% 33.41/5.52 | | | $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 = all_4_145) &
% 33.41/5.52 | | | op(all_4_163, e1) = all_4_145 & op(e0, all_4_159) = all_4_144 &
% 33.41/5.52 | | | op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144)
% 33.41/5.52 | | | & $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | ( ~
% 33.41/5.52 | | | (all_4_146 = all_4_147) & op(all_4_163, e0) = all_4_147 &
% 33.41/5.52 | | | op(e0, all_4_163) = all_4_146 & op(e0, e0) = all_4_163 &
% 33.41/5.52 | | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~ (all_4_148
% 33.41/5.52 | | | = e3) & ~ (all_4_148 = e2) & ~ (all_4_148 = e0) & ~
% 33.41/5.52 | | | (all_4_148 = e1) & op(e3, e2) = all_4_148 & $i(all_4_148)) | (
% 33.41/5.52 | | | ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ (all_4_149 = e0)
% 33.41/5.52 | | | & ~ (all_4_149 = e1) & op(e3, e1) = all_4_149 & $i(all_4_149))
% 33.41/5.52 | | | | ( ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ (all_4_150 =
% 33.41/5.52 | | | e0) & ~ (all_4_150 = e1) & op(e3, e0) = all_4_150 &
% 33.41/5.52 | | | $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) &
% 33.41/5.52 | | | ~ (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) =
% 33.41/5.52 | | | all_4_151 & $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~
% 33.41/5.52 | | | (all_4_152 = e2) & ~ (all_4_152 = e0) & ~ (all_4_152 = e1) &
% 33.41/5.52 | | | op(e2, e1) = all_4_152 & $i(all_4_152)) | ( ~ (all_4_153 = e3)
% 33.41/5.52 | | | & ~ (all_4_153 = e2) & ~ (all_4_153 = e0) & ~ (all_4_153 =
% 33.41/5.52 | | | e1) & op(e2, e0) = all_4_153 & $i(all_4_153)) | ( ~
% 33.41/5.52 | | | (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ (all_4_154 = e0) &
% 33.41/5.52 | | | ~ (all_4_154 = e1) & op(e1, e3) = all_4_154 & $i(all_4_154)) |
% 33.41/5.52 | | | ( ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ (all_4_155 = e0)
% 33.41/5.52 | | | & ~ (all_4_155 = e1) & op(e1, e2) = all_4_155 & $i(all_4_155))
% 33.41/5.52 | | | | ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 =
% 33.41/5.52 | | | e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 &
% 33.41/5.52 | | | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2) &
% 33.41/5.52 | | | ~ (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) =
% 33.41/5.52 | | | all_4_157 & $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~
% 33.41/5.52 | | | (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ (all_4_158 = e1) &
% 33.41/5.52 | | | op(e0, e2) = all_4_158 & $i(all_4_158)) | ( ~ (all_4_159 = e3)
% 33.41/5.52 | | | & ~ (all_4_159 = e2) & ~ (all_4_159 = e0) & ~ (all_4_159 =
% 33.41/5.52 | | | e1) & op(e0, e1) = all_4_159 & $i(all_4_159)) | ( ~
% 33.41/5.52 | | | (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) &
% 33.41/5.52 | | | ~ (all_4_160 = e1) & op(e3, e3) = all_4_160 & $i(all_4_160)) |
% 33.41/5.52 | | | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161 = e0)
% 33.41/5.52 | | | & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 & $i(all_4_161))
% 33.41/5.52 | | | | ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ (all_4_162 =
% 33.41/5.52 | | | e0) & ~ (all_4_162 = e1) & op(e1, e1) = all_4_162 &
% 33.41/5.52 | | | $i(all_4_162)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit =
% 33.41/5.52 | | | e0) & ~ (unit = e1)) | (op(e0, e0) = all_4_163 &
% 33.41/5.52 | | | $i(all_4_163) & (( ~ (all_4_163 = e3) & ~ (all_4_163 = e2) &
% 33.41/5.52 | | | ~ (all_4_163 = e0) & ~ (all_4_163 = e1)) | (op(e3, e3) =
% 33.41/5.52 | | | all_4_160 & op(e2, e2) = all_4_161 & op(e1, e1) = all_4_162
% 33.41/5.52 | | | & $i(all_4_160) & $i(all_4_161) & $i(all_4_162) &
% 33.41/5.52 | | | ((all_4_160 = e3 & all_4_161 = e3 & all_4_162 = e3 &
% 33.41/5.52 | | | all_4_163 = e3) | (all_4_160 = e2 & all_4_161 = e2 &
% 33.41/5.52 | | | all_4_162 = e2 & all_4_163 = e2) | (all_4_160 = e0 &
% 33.41/5.52 | | | all_4_161 = e0 & all_4_162 = e0 & all_4_163 = e0) |
% 33.41/5.52 | | | (all_4_160 = e1 & all_4_161 = e1 & all_4_162 = e1 &
% 33.41/5.52 | | | all_4_163 = e1)))))
% 33.41/5.52 | | |
% 33.41/5.52 | | | BETA: splitting (964) gives:
% 33.41/5.52 | | |
% 33.41/5.52 | | | Case 1:
% 33.41/5.52 | | | |
% 33.41/5.52 | | | | (965) ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0) = all_4_131 &
% 33.41/5.52 | | | | op(e2, e0) = all_4_153 & op(e0, all_4_153) = all_4_130 &
% 33.41/5.52 | | | | op(e0, e2) = all_4_158 & $i(all_4_130) & $i(all_4_131) &
% 33.41/5.53 | | | | $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 = all_4_133)
% 33.41/5.53 | | | | & op(all_4_159, e3) = all_4_133 & op(e0, all_4_154) =
% 33.41/5.53 | | | | all_4_132 & op(e0, e1) = all_4_159 & op(e1, e3) = all_4_154 &
% 33.41/5.53 | | | | $i(all_4_132) & $i(all_4_133) & $i(all_4_154) &
% 33.41/5.53 | | | | $i(all_4_159)) | ( ~ (all_4_134 = all_4_135) & op(all_4_159,
% 33.41/5.53 | | | | e2) = all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0,
% 33.41/5.53 | | | | e1) = all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) &
% 33.41/5.53 | | | | $i(all_4_135) & $i(all_4_155) & $i(all_4_159)) | ( ~
% 33.41/5.53 | | | | (all_4_136 = all_4_137) & op(all_4_159, e1) = all_4_137 &
% 33.41/5.53 | | | | op(e0, all_4_162) = all_4_136 & op(e0, e1) = all_4_159 &
% 33.41/5.53 | | | | op(e1, e1) = all_4_162 & $i(all_4_136) & $i(all_4_137) &
% 33.41/5.53 | | | | $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 = all_4_139)
% 33.41/5.53 | | | | & op(all_4_159, e0) = all_4_139 & op(e0, all_4_156) =
% 33.41/5.53 | | | | all_4_138 & op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 &
% 33.41/5.53 | | | | $i(all_4_138) & $i(all_4_139) & $i(all_4_156) &
% 33.41/5.53 | | | | $i(all_4_159)) | ( ~ (all_4_140 = all_4_141) & op(all_4_163,
% 33.41/5.53 | | | | e3) = all_4_141 & op(e0, all_4_157) = all_4_140 & op(e0,
% 33.41/5.53 | | | | e3) = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140) &
% 33.41/5.53 | | | | $i(all_4_141) & $i(all_4_157) & $i(all_4_163)) | ( ~
% 33.41/5.53 | | | | (all_4_142 = all_4_143) & op(all_4_163, e2) = all_4_143 &
% 33.41/5.53 | | | | op(e0, all_4_158) = all_4_142 & op(e0, e2) = all_4_158 &
% 33.41/5.53 | | | | op(e0, e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) &
% 33.41/5.53 | | | | $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 = all_4_145)
% 33.41/5.53 | | | | & op(all_4_163, e1) = all_4_145 & op(e0, all_4_159) =
% 33.41/5.53 | | | | all_4_144 & op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 &
% 33.41/5.53 | | | | $i(all_4_144) & $i(all_4_145) & $i(all_4_159) &
% 33.41/5.53 | | | | $i(all_4_163)) | ( ~ (all_4_146 = all_4_147) & op(all_4_163,
% 33.41/5.53 | | | | e0) = all_4_147 & op(e0, all_4_163) = all_4_146 & op(e0,
% 33.41/5.53 | | | | e0) = all_4_163 & $i(all_4_146) & $i(all_4_147) &
% 33.41/5.53 | | | | $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) &
% 33.41/5.53 | | | | ~ (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) =
% 33.41/5.53 | | | | all_4_148 & $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~
% 33.41/5.53 | | | | (all_4_149 = e2) & ~ (all_4_149 = e0) & ~ (all_4_149 = e1)
% 33.41/5.53 | | | | & op(e3, e1) = all_4_149 & $i(all_4_149)) | ( ~ (all_4_150 =
% 33.41/5.53 | | | | e3) & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~
% 33.41/5.53 | | | | (all_4_150 = e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) |
% 33.41/5.53 | | | | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 =
% 33.41/5.53 | | | | e0) & ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 &
% 33.41/5.53 | | | | $i(all_4_151))
% 33.41/5.53 | | | |
% 33.41/5.53 | | | | BETA: splitting (965) gives:
% 33.41/5.53 | | | |
% 33.41/5.53 | | | | Case 1:
% 33.41/5.53 | | | | |
% 33.41/5.53 | | | | | (966) ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0) = all_4_131 &
% 33.41/5.53 | | | | | op(e2, e0) = all_4_153 & op(e0, all_4_153) = all_4_130 &
% 33.41/5.53 | | | | | op(e0, e2) = all_4_158 & $i(all_4_130) & $i(all_4_131) &
% 33.41/5.53 | | | | | $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 =
% 33.41/5.53 | | | | | all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0,
% 33.41/5.53 | | | | | all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.53 | | | | | e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) &
% 33.41/5.53 | | | | | $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 =
% 33.41/5.53 | | | | | all_4_135) & op(all_4_159, e2) = all_4_135 & op(e0,
% 33.41/5.53 | | | | | all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.53 | | | | | e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) &
% 33.41/5.53 | | | | | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 =
% 33.41/5.53 | | | | | all_4_137) & op(all_4_159, e1) = all_4_137 & op(e0,
% 33.41/5.53 | | | | | all_4_162) = all_4_136 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.53 | | | | | e1) = all_4_162 & $i(all_4_136) & $i(all_4_137) &
% 33.41/5.53 | | | | | $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 =
% 33.41/5.53 | | | | | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0,
% 33.41/5.53 | | | | | all_4_156) = all_4_138 & op(e0, e1) = all_4_159 & op(e1,
% 33.41/5.53 | | | | | e0) = all_4_156 & $i(all_4_138) & $i(all_4_139) &
% 33.41/5.53 | | | | | $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_140 =
% 33.41/5.53 | | | | | all_4_141) & op(all_4_163, e3) = all_4_141 & op(e0,
% 33.41/5.53 | | | | | all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0,
% 33.41/5.53 | | | | | e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) &
% 33.41/5.53 | | | | | $i(all_4_157) & $i(all_4_163))
% 33.41/5.53 | | | | |
% 33.41/5.53 | | | | | BETA: splitting (966) gives:
% 33.41/5.53 | | | | |
% 33.41/5.53 | | | | | Case 1:
% 33.41/5.53 | | | | | |
% 33.41/5.53 | | | | | | (967) ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0) = all_4_131
% 33.41/5.53 | | | | | | & op(e2, e0) = all_4_153 & op(e0, all_4_153) = all_4_130
% 33.41/5.53 | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_130) & $i(all_4_131)
% 33.41/5.53 | | | | | | & $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 =
% 33.41/5.53 | | | | | | all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0,
% 33.41/5.53 | | | | | | all_4_154) = all_4_132 & op(e0, e1) = all_4_159 &
% 33.41/5.53 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) &
% 33.41/5.53 | | | | | | $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 =
% 33.41/5.53 | | | | | | all_4_135) & op(all_4_159, e2) = all_4_135 & op(e0,
% 33.41/5.53 | | | | | | all_4_155) = all_4_134 & op(e0, e1) = all_4_159 &
% 33.41/5.53 | | | | | | op(e1, e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) &
% 33.41/5.53 | | | | | | $i(all_4_155) & $i(all_4_159))
% 33.41/5.53 | | | | | |
% 33.41/5.53 | | | | | | BETA: splitting (967) gives:
% 33.41/5.53 | | | | | |
% 33.41/5.53 | | | | | | Case 1:
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | (968) ~ (all_4_130 = all_4_131) & op(all_4_158, e0) =
% 33.41/5.53 | | | | | | | all_4_131 & op(e2, e0) = all_4_153 & op(e0, all_4_153) =
% 33.41/5.53 | | | | | | | all_4_130 & op(e0, e2) = all_4_158 & $i(all_4_130) &
% 33.41/5.53 | | | | | | | $i(all_4_131) & $i(all_4_153) & $i(all_4_158)
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | ALPHA: (968) implies:
% 33.41/5.53 | | | | | | | (969) ~ (all_4_130 = all_4_131)
% 33.41/5.53 | | | | | | | (970) op(e0, e2) = all_4_158
% 33.41/5.53 | | | | | | | (971) op(e0, all_4_153) = all_4_130
% 33.41/5.53 | | | | | | | (972) op(e2, e0) = all_4_153
% 33.41/5.53 | | | | | | | (973) op(all_4_158, e0) = all_4_131
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.41/5.53 | | | | | | | simplifying with (10), (970) gives:
% 33.41/5.53 | | | | | | | (974) all_4_158 = e2
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 33.41/5.53 | | | | | | | simplifying with (13), (972) gives:
% 33.41/5.53 | | | | | | | (975) all_4_153 = e2
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | REDUCE: (973), (974) imply:
% 33.41/5.53 | | | | | | | (976) op(e2, e0) = all_4_131
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | REDUCE: (971), (975) imply:
% 33.41/5.53 | | | | | | | (977) op(e0, e2) = all_4_130
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_130, e2, e0,
% 33.41/5.53 | | | | | | | simplifying with (10), (977) gives:
% 33.41/5.53 | | | | | | | (978) all_4_130 = e2
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_131, e0, e2,
% 33.41/5.53 | | | | | | | simplifying with (13), (976) gives:
% 33.41/5.53 | | | | | | | (979) all_4_131 = e2
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | REDUCE: (969), (978), (979) imply:
% 33.41/5.53 | | | | | | | (980) $false
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | CLOSE: (980) is inconsistent.
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | Case 2:
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | (981) ( ~ (all_4_132 = all_4_133) & op(all_4_159, e3) =
% 33.41/5.53 | | | | | | | all_4_133 & op(e0, all_4_154) = all_4_132 & op(e0, e1)
% 33.41/5.53 | | | | | | | = all_4_159 & op(e1, e3) = all_4_154 & $i(all_4_132) &
% 33.41/5.53 | | | | | | | $i(all_4_133) & $i(all_4_154) & $i(all_4_159)) | ( ~
% 33.41/5.53 | | | | | | | (all_4_134 = all_4_135) & op(all_4_159, e2) = all_4_135
% 33.41/5.53 | | | | | | | & op(e0, all_4_155) = all_4_134 & op(e0, e1) =
% 33.41/5.53 | | | | | | | all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) &
% 33.41/5.53 | | | | | | | $i(all_4_135) & $i(all_4_155) & $i(all_4_159))
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | BETA: splitting (981) gives:
% 33.41/5.53 | | | | | | |
% 33.41/5.53 | | | | | | | Case 1:
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | (982) ~ (all_4_132 = all_4_133) & op(all_4_159, e3) =
% 33.41/5.53 | | | | | | | | all_4_133 & op(e0, all_4_154) = all_4_132 & op(e0, e1)
% 33.41/5.53 | | | | | | | | = all_4_159 & op(e1, e3) = all_4_154 & $i(all_4_132) &
% 33.41/5.53 | | | | | | | | $i(all_4_133) & $i(all_4_154) & $i(all_4_159)
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | ALPHA: (982) implies:
% 33.41/5.53 | | | | | | | | (983) ~ (all_4_132 = all_4_133)
% 33.41/5.53 | | | | | | | | (984) op(e1, e3) = all_4_154
% 33.41/5.53 | | | | | | | | (985) op(e0, e1) = all_4_159
% 33.41/5.53 | | | | | | | | (986) op(e0, all_4_154) = all_4_132
% 33.41/5.53 | | | | | | | | (987) op(all_4_159, e3) = all_4_133
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 33.41/5.53 | | | | | | | | simplifying with (7), (984) gives:
% 33.41/5.53 | | | | | | | | (988) all_4_154 = e2
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.41/5.53 | | | | | | | | simplifying with (8), (985) gives:
% 33.41/5.53 | | | | | | | | (989) all_4_159 = e1
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | REDUCE: (987), (989) imply:
% 33.41/5.53 | | | | | | | | (990) op(e1, e3) = all_4_133
% 33.41/5.53 | | | | | | | |
% 33.41/5.53 | | | | | | | | REDUCE: (986), (988) imply:
% 33.41/5.53 | | | | | | | | (991) op(e0, e2) = all_4_132
% 33.41/5.53 | | | | | | | |
% 33.41/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_133, e3, e1,
% 33.41/5.54 | | | | | | | | simplifying with (7), (990) gives:
% 33.41/5.54 | | | | | | | | (992) all_4_133 = e2
% 33.41/5.54 | | | | | | | |
% 33.41/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_132, e2, e0,
% 33.41/5.54 | | | | | | | | simplifying with (10), (991) gives:
% 33.41/5.54 | | | | | | | | (993) all_4_132 = e2
% 33.41/5.54 | | | | | | | |
% 33.41/5.54 | | | | | | | | REDUCE: (983), (992), (993) imply:
% 33.41/5.54 | | | | | | | | (994) $false
% 33.41/5.54 | | | | | | | |
% 33.41/5.54 | | | | | | | | CLOSE: (994) is inconsistent.
% 33.41/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | Case 2:
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | (995) ~ (all_4_134 = all_4_135) & op(all_4_159, e2) =
% 33.61/5.54 | | | | | | | | all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0, e1)
% 33.61/5.54 | | | | | | | | = all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) &
% 33.61/5.54 | | | | | | | | $i(all_4_135) & $i(all_4_155) & $i(all_4_159)
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | ALPHA: (995) implies:
% 33.61/5.54 | | | | | | | | (996) ~ (all_4_134 = all_4_135)
% 33.61/5.54 | | | | | | | | (997) op(e1, e2) = all_4_155
% 33.61/5.54 | | | | | | | | (998) op(e0, e1) = all_4_159
% 33.61/5.54 | | | | | | | | (999) op(e0, all_4_155) = all_4_134
% 33.61/5.54 | | | | | | | | (1000) op(all_4_159, e2) = all_4_135
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 33.61/5.54 | | | | | | | | simplifying with (6), (997) gives:
% 33.61/5.54 | | | | | | | | (1001) all_4_155 = e0
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.61/5.54 | | | | | | | | simplifying with (8), (998) gives:
% 33.61/5.54 | | | | | | | | (1002) all_4_159 = e1
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | REDUCE: (1000), (1002) imply:
% 33.61/5.54 | | | | | | | | (1003) op(e1, e2) = all_4_135
% 33.61/5.54 | | | | | | | |
% 33.61/5.54 | | | | | | | | REDUCE: (999), (1001) imply:
% 33.61/5.54 | | | | | | | | (1004) op(e0, e0) = all_4_134
% 33.61/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_135, e2, e1,
% 33.62/5.54 | | | | | | | | simplifying with (6), (1003) gives:
% 33.62/5.54 | | | | | | | | (1005) all_4_135 = e0
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_134, e0, e0,
% 33.62/5.54 | | | | | | | | simplifying with (9), (1004) gives:
% 33.62/5.54 | | | | | | | | (1006) all_4_134 = e0
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | REDUCE: (996), (1005), (1006) imply:
% 33.62/5.54 | | | | | | | | (1007) $false
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | CLOSE: (1007) is inconsistent.
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | End of split
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | End of split
% 33.62/5.54 | | | | | |
% 33.62/5.54 | | | | | Case 2:
% 33.62/5.54 | | | | | |
% 33.62/5.54 | | | | | | (1008) ( ~ (all_4_136 = all_4_137) & op(all_4_159, e1) =
% 33.62/5.54 | | | | | | all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, e1) =
% 33.62/5.54 | | | | | | all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) &
% 33.62/5.54 | | | | | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~
% 33.62/5.54 | | | | | | (all_4_138 = all_4_139) & op(all_4_159, e0) = all_4_139
% 33.62/5.54 | | | | | | & op(e0, all_4_156) = all_4_138 & op(e0, e1) = all_4_159
% 33.62/5.54 | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_138) & $i(all_4_139)
% 33.62/5.54 | | | | | | & $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_140 =
% 33.62/5.54 | | | | | | all_4_141) & op(all_4_163, e3) = all_4_141 & op(e0,
% 33.62/5.54 | | | | | | all_4_157) = all_4_140 & op(e0, e3) = all_4_157 &
% 33.62/5.54 | | | | | | op(e0, e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) &
% 33.62/5.54 | | | | | | $i(all_4_157) & $i(all_4_163))
% 33.62/5.54 | | | | | |
% 33.62/5.54 | | | | | | BETA: splitting (1008) gives:
% 33.62/5.54 | | | | | |
% 33.62/5.54 | | | | | | Case 1:
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | (1009) ~ (all_4_136 = all_4_137) & op(all_4_159, e1) =
% 33.62/5.54 | | | | | | | all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, e1) =
% 33.62/5.54 | | | | | | | all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) &
% 33.62/5.54 | | | | | | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | ALPHA: (1009) implies:
% 33.62/5.54 | | | | | | | (1010) ~ (all_4_136 = all_4_137)
% 33.62/5.54 | | | | | | | (1011) op(e1, e1) = all_4_162
% 33.62/5.54 | | | | | | | (1012) op(e0, e1) = all_4_159
% 33.62/5.54 | | | | | | | (1013) op(e0, all_4_162) = all_4_136
% 33.62/5.54 | | | | | | | (1014) op(all_4_159, e1) = all_4_137
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.62/5.54 | | | | | | | simplifying with (4), (1011) gives:
% 33.62/5.54 | | | | | | | (1015) all_4_162 = e3
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.62/5.54 | | | | | | | simplifying with (8), (1012) gives:
% 33.62/5.54 | | | | | | | (1016) all_4_159 = e1
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | REDUCE: (1014), (1016) imply:
% 33.62/5.54 | | | | | | | (1017) op(e1, e1) = all_4_137
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | REDUCE: (1013), (1015) imply:
% 33.62/5.54 | | | | | | | (1018) op(e0, e3) = all_4_136
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_137, e1, e1,
% 33.62/5.54 | | | | | | | simplifying with (4), (1017) gives:
% 33.62/5.54 | | | | | | | (1019) all_4_137 = e3
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_136, e3, e0,
% 33.62/5.54 | | | | | | | simplifying with (11), (1018) gives:
% 33.62/5.54 | | | | | | | (1020) all_4_136 = e3
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | REDUCE: (1010), (1019), (1020) imply:
% 33.62/5.54 | | | | | | | (1021) $false
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | CLOSE: (1021) is inconsistent.
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | Case 2:
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | (1022) ( ~ (all_4_138 = all_4_139) & op(all_4_159, e0) =
% 33.62/5.54 | | | | | | | all_4_139 & op(e0, all_4_156) = all_4_138 & op(e0, e1)
% 33.62/5.54 | | | | | | | = all_4_159 & op(e1, e0) = all_4_156 & $i(all_4_138) &
% 33.62/5.54 | | | | | | | $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | ( ~
% 33.62/5.54 | | | | | | | (all_4_140 = all_4_141) & op(all_4_163, e3) =
% 33.62/5.54 | | | | | | | all_4_141 & op(e0, all_4_157) = all_4_140 & op(e0, e3)
% 33.62/5.54 | | | | | | | = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140) &
% 33.62/5.54 | | | | | | | $i(all_4_141) & $i(all_4_157) & $i(all_4_163))
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | BETA: splitting (1022) gives:
% 33.62/5.54 | | | | | | |
% 33.62/5.54 | | | | | | | Case 1:
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | (1023) ~ (all_4_138 = all_4_139) & op(all_4_159, e0) =
% 33.62/5.54 | | | | | | | | all_4_139 & op(e0, all_4_156) = all_4_138 & op(e0, e1)
% 33.62/5.54 | | | | | | | | = all_4_159 & op(e1, e0) = all_4_156 & $i(all_4_138) &
% 33.62/5.54 | | | | | | | | $i(all_4_139) & $i(all_4_156) & $i(all_4_159)
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | ALPHA: (1023) implies:
% 33.62/5.54 | | | | | | | | (1024) ~ (all_4_138 = all_4_139)
% 33.62/5.54 | | | | | | | | (1025) op(e1, e0) = all_4_156
% 33.62/5.54 | | | | | | | | (1026) op(e0, e1) = all_4_159
% 33.62/5.54 | | | | | | | | (1027) op(e0, all_4_156) = all_4_138
% 33.62/5.54 | | | | | | | | (1028) op(all_4_159, e0) = all_4_139
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.62/5.54 | | | | | | | | simplifying with (5), (1025) gives:
% 33.62/5.54 | | | | | | | | (1029) all_4_156 = e1
% 33.62/5.54 | | | | | | | |
% 33.62/5.54 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.62/5.55 | | | | | | | | simplifying with (8), (1026) gives:
% 33.62/5.55 | | | | | | | | (1030) all_4_159 = e1
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1028), (1030) imply:
% 33.62/5.55 | | | | | | | | (1031) op(e1, e0) = all_4_139
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1027), (1029) imply:
% 33.62/5.55 | | | | | | | | (1032) op(e0, e1) = all_4_138
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_139, e0, e1,
% 33.62/5.55 | | | | | | | | simplifying with (5), (1031) gives:
% 33.62/5.55 | | | | | | | | (1033) all_4_139 = e1
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_138, e1, e0,
% 33.62/5.55 | | | | | | | | simplifying with (8), (1032) gives:
% 33.62/5.55 | | | | | | | | (1034) all_4_138 = e1
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1024), (1033), (1034) imply:
% 33.62/5.55 | | | | | | | | (1035) $false
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | CLOSE: (1035) is inconsistent.
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | Case 2:
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | (1036) ~ (all_4_140 = all_4_141) & op(all_4_163, e3) =
% 33.62/5.55 | | | | | | | | all_4_141 & op(e0, all_4_157) = all_4_140 & op(e0, e3)
% 33.62/5.55 | | | | | | | | = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140) &
% 33.62/5.55 | | | | | | | | $i(all_4_141) & $i(all_4_157) & $i(all_4_163)
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | ALPHA: (1036) implies:
% 33.62/5.55 | | | | | | | | (1037) ~ (all_4_140 = all_4_141)
% 33.62/5.55 | | | | | | | | (1038) op(e0, e0) = all_4_163
% 33.62/5.55 | | | | | | | | (1039) op(e0, e3) = all_4_157
% 33.62/5.55 | | | | | | | | (1040) op(e0, all_4_157) = all_4_140
% 33.62/5.55 | | | | | | | | (1041) op(all_4_163, e3) = all_4_141
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.55 | | | | | | | | simplifying with (9), (1038) gives:
% 33.62/5.55 | | | | | | | | (1042) all_4_163 = e0
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.62/5.55 | | | | | | | | simplifying with (11), (1039) gives:
% 33.62/5.55 | | | | | | | | (1043) all_4_157 = e3
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1041), (1042) imply:
% 33.62/5.55 | | | | | | | | (1044) op(e0, e3) = all_4_141
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1040), (1043) imply:
% 33.62/5.55 | | | | | | | | (1045) op(e0, e3) = all_4_140
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_140, e3, e0,
% 33.62/5.55 | | | | | | | | simplifying with (11), (1045) gives:
% 33.62/5.55 | | | | | | | | (1046) all_4_140 = e3
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | GROUND_INST: instantiating (27) with all_4_141, all_4_140, e3,
% 33.62/5.55 | | | | | | | | e0, simplifying with (1044), (1045) gives:
% 33.62/5.55 | | | | | | | | (1047) all_4_140 = all_4_141
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | COMBINE_EQS: (1046), (1047) imply:
% 33.62/5.55 | | | | | | | | (1048) all_4_141 = e3
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | REDUCE: (1037), (1046), (1048) imply:
% 33.62/5.55 | | | | | | | | (1049) $false
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | | CLOSE: (1049) is inconsistent.
% 33.62/5.55 | | | | | | | |
% 33.62/5.55 | | | | | | | End of split
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | End of split
% 33.62/5.55 | | | | | |
% 33.62/5.55 | | | | | End of split
% 33.62/5.55 | | | | |
% 33.62/5.55 | | | | Case 2:
% 33.62/5.55 | | | | |
% 33.62/5.55 | | | | | (1050) ( ~ (all_4_142 = all_4_143) & op(all_4_163, e2) = all_4_143
% 33.62/5.55 | | | | | & op(e0, all_4_158) = all_4_142 & op(e0, e2) = all_4_158 &
% 33.62/5.55 | | | | | op(e0, e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) &
% 33.62/5.55 | | | | | $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 =
% 33.62/5.55 | | | | | all_4_145) & op(all_4_163, e1) = all_4_145 & op(e0,
% 33.62/5.55 | | | | | all_4_159) = all_4_144 & op(e0, e0) = all_4_163 & op(e0,
% 33.62/5.55 | | | | | e1) = all_4_159 & $i(all_4_144) & $i(all_4_145) &
% 33.62/5.55 | | | | | $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 =
% 33.62/5.55 | | | | | all_4_147) & op(all_4_163, e0) = all_4_147 & op(e0,
% 33.62/5.55 | | | | | all_4_163) = all_4_146 & op(e0, e0) = all_4_163 &
% 33.62/5.55 | | | | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~
% 33.62/5.55 | | | | | (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ (all_4_148 =
% 33.62/5.55 | | | | | e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 &
% 33.62/5.55 | | | | | $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ (all_4_149 =
% 33.62/5.55 | | | | | e2) & ~ (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3,
% 33.62/5.55 | | | | | e1) = all_4_149 & $i(all_4_149)) | ( ~ (all_4_150 = e3)
% 33.62/5.55 | | | | | & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~
% 33.62/5.55 | | | | | (all_4_150 = e1) & op(e3, e0) = all_4_150 & $i(all_4_150))
% 33.62/5.55 | | | | | | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151
% 33.62/5.55 | | | | | = e0) & ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 &
% 33.62/5.55 | | | | | $i(all_4_151))
% 33.62/5.55 | | | | |
% 33.62/5.55 | | | | | BETA: splitting (1050) gives:
% 33.62/5.55 | | | | |
% 33.62/5.55 | | | | | Case 1:
% 33.62/5.55 | | | | | |
% 33.62/5.55 | | | | | | (1051) ( ~ (all_4_142 = all_4_143) & op(all_4_163, e2) =
% 33.62/5.55 | | | | | | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) =
% 33.62/5.55 | | | | | | all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) &
% 33.62/5.55 | | | | | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) | ( ~
% 33.62/5.55 | | | | | | (all_4_144 = all_4_145) & op(all_4_163, e1) = all_4_145
% 33.62/5.55 | | | | | | & op(e0, all_4_159) = all_4_144 & op(e0, e0) = all_4_163
% 33.62/5.55 | | | | | | & op(e0, e1) = all_4_159 & $i(all_4_144) & $i(all_4_145)
% 33.62/5.55 | | | | | | & $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 =
% 33.62/5.55 | | | | | | all_4_147) & op(all_4_163, e0) = all_4_147 & op(e0,
% 33.62/5.55 | | | | | | all_4_163) = all_4_146 & op(e0, e0) = all_4_163 &
% 33.62/5.55 | | | | | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163))
% 33.62/5.55 | | | | | |
% 33.62/5.55 | | | | | | BETA: splitting (1051) gives:
% 33.62/5.55 | | | | | |
% 33.62/5.55 | | | | | | Case 1:
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | (1052) ~ (all_4_142 = all_4_143) & op(all_4_163, e2) =
% 33.62/5.55 | | | | | | | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) =
% 33.62/5.55 | | | | | | | all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) &
% 33.62/5.55 | | | | | | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | ALPHA: (1052) implies:
% 33.62/5.55 | | | | | | | (1053) ~ (all_4_142 = all_4_143)
% 33.62/5.55 | | | | | | | (1054) op(e0, e0) = all_4_163
% 33.62/5.55 | | | | | | | (1055) op(e0, e2) = all_4_158
% 33.62/5.55 | | | | | | | (1056) op(e0, all_4_158) = all_4_142
% 33.62/5.55 | | | | | | | (1057) op(all_4_163, e2) = all_4_143
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.55 | | | | | | | simplifying with (9), (1054) gives:
% 33.62/5.55 | | | | | | | (1058) all_4_163 = e0
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.62/5.55 | | | | | | | simplifying with (10), (1055) gives:
% 33.62/5.55 | | | | | | | (1059) all_4_158 = e2
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | REDUCE: (1057), (1058) imply:
% 33.62/5.55 | | | | | | | (1060) op(e0, e2) = all_4_143
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | REDUCE: (1056), (1059) imply:
% 33.62/5.55 | | | | | | | (1061) op(e0, e2) = all_4_142
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_142, e2, e0,
% 33.62/5.55 | | | | | | | simplifying with (10), (1061) gives:
% 33.62/5.55 | | | | | | | (1062) all_4_142 = e2
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | GROUND_INST: instantiating (27) with all_4_143, all_4_142, e2, e0,
% 33.62/5.55 | | | | | | | simplifying with (1060), (1061) gives:
% 33.62/5.55 | | | | | | | (1063) all_4_142 = all_4_143
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | COMBINE_EQS: (1062), (1063) imply:
% 33.62/5.55 | | | | | | | (1064) all_4_143 = e2
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | REDUCE: (1053), (1062), (1064) imply:
% 33.62/5.55 | | | | | | | (1065) $false
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | CLOSE: (1065) is inconsistent.
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | Case 2:
% 33.62/5.55 | | | | | | |
% 33.62/5.55 | | | | | | | (1066) ( ~ (all_4_144 = all_4_145) & op(all_4_163, e1) =
% 33.62/5.55 | | | | | | | all_4_145 & op(e0, all_4_159) = all_4_144 & op(e0, e0)
% 33.62/5.55 | | | | | | | = all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) &
% 33.62/5.55 | | | | | | | $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | ( ~
% 33.62/5.55 | | | | | | | (all_4_146 = all_4_147) & op(all_4_163, e0) =
% 33.62/5.55 | | | | | | | all_4_147 & op(e0, all_4_163) = all_4_146 & op(e0, e0)
% 33.62/5.55 | | | | | | | = all_4_163 & $i(all_4_146) & $i(all_4_147) &
% 33.62/5.55 | | | | | | | $i(all_4_163))
% 33.62/5.55 | | | | | | |
% 33.62/5.56 | | | | | | | BETA: splitting (1066) gives:
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | Case 1:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1067) ~ (all_4_144 = all_4_145) & op(all_4_163, e1) =
% 33.62/5.56 | | | | | | | | all_4_145 & op(e0, all_4_159) = all_4_144 & op(e0, e0)
% 33.62/5.56 | | | | | | | | = all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) &
% 33.62/5.56 | | | | | | | | $i(all_4_145) & $i(all_4_159) & $i(all_4_163)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1067) implies:
% 33.62/5.56 | | | | | | | | (1068) ~ (all_4_144 = all_4_145)
% 33.62/5.56 | | | | | | | | (1069) op(e0, e1) = all_4_159
% 33.62/5.56 | | | | | | | | (1070) op(e0, e0) = all_4_163
% 33.62/5.56 | | | | | | | | (1071) op(e0, all_4_159) = all_4_144
% 33.62/5.56 | | | | | | | | (1072) op(all_4_163, e1) = all_4_145
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.62/5.56 | | | | | | | | simplifying with (8), (1069) gives:
% 33.62/5.56 | | | | | | | | (1073) all_4_159 = e1
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.56 | | | | | | | | simplifying with (9), (1070) gives:
% 33.62/5.56 | | | | | | | | (1074) all_4_163 = e0
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1072), (1074) imply:
% 33.62/5.56 | | | | | | | | (1075) op(e0, e1) = all_4_145
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1071), (1073) imply:
% 33.62/5.56 | | | | | | | | (1076) op(e0, e1) = all_4_144
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_144, e1, e0,
% 33.62/5.56 | | | | | | | | simplifying with (8), (1076) gives:
% 33.62/5.56 | | | | | | | | (1077) all_4_144 = e1
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with all_4_145, all_4_144, e1,
% 33.62/5.56 | | | | | | | | e0, simplifying with (1075), (1076) gives:
% 33.62/5.56 | | | | | | | | (1078) all_4_144 = all_4_145
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | COMBINE_EQS: (1077), (1078) imply:
% 33.62/5.56 | | | | | | | | (1079) all_4_145 = e1
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1068), (1077), (1079) imply:
% 33.62/5.56 | | | | | | | | (1080) $false
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | CLOSE: (1080) is inconsistent.
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | Case 2:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1081) ~ (all_4_146 = all_4_147) & op(all_4_163, e0) =
% 33.62/5.56 | | | | | | | | all_4_147 & op(e0, all_4_163) = all_4_146 & op(e0, e0)
% 33.62/5.56 | | | | | | | | = all_4_163 & $i(all_4_146) & $i(all_4_147) &
% 33.62/5.56 | | | | | | | | $i(all_4_163)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1081) implies:
% 33.62/5.56 | | | | | | | | (1082) ~ (all_4_146 = all_4_147)
% 33.62/5.56 | | | | | | | | (1083) op(e0, e0) = all_4_163
% 33.62/5.56 | | | | | | | | (1084) op(e0, all_4_163) = all_4_146
% 33.62/5.56 | | | | | | | | (1085) op(all_4_163, e0) = all_4_147
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.56 | | | | | | | | simplifying with (9), (1083) gives:
% 33.62/5.56 | | | | | | | | (1086) all_4_163 = e0
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1085), (1086) imply:
% 33.62/5.56 | | | | | | | | (1087) op(e0, e0) = all_4_147
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1084), (1086) imply:
% 33.62/5.56 | | | | | | | | (1088) op(e0, e0) = all_4_146
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_146, e0, e0,
% 33.62/5.56 | | | | | | | | simplifying with (9), (1088) gives:
% 33.62/5.56 | | | | | | | | (1089) all_4_146 = e0
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with all_4_147, all_4_146, e0,
% 33.62/5.56 | | | | | | | | e0, simplifying with (1087), (1088) gives:
% 33.62/5.56 | | | | | | | | (1090) all_4_146 = all_4_147
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | COMBINE_EQS: (1089), (1090) imply:
% 33.62/5.56 | | | | | | | | (1091) all_4_147 = e0
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1082), (1089), (1091) imply:
% 33.62/5.56 | | | | | | | | (1092) $false
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | CLOSE: (1092) is inconsistent.
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | End of split
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | End of split
% 33.62/5.56 | | | | | |
% 33.62/5.56 | | | | | Case 2:
% 33.62/5.56 | | | | | |
% 33.62/5.56 | | | | | | (1093) ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ (all_4_148
% 33.62/5.56 | | | | | | = e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 &
% 33.62/5.56 | | | | | | $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ (all_4_149 =
% 33.62/5.56 | | | | | | e2) & ~ (all_4_149 = e0) & ~ (all_4_149 = e1) &
% 33.62/5.56 | | | | | | op(e3, e1) = all_4_149 & $i(all_4_149)) | ( ~ (all_4_150
% 33.62/5.56 | | | | | | = e3) & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~
% 33.62/5.56 | | | | | | (all_4_150 = e1) & op(e3, e0) = all_4_150 &
% 33.62/5.56 | | | | | | $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~ (all_4_151 =
% 33.62/5.56 | | | | | | e2) & ~ (all_4_151 = e0) & ~ (all_4_151 = e1) &
% 33.62/5.56 | | | | | | op(e2, e3) = all_4_151 & $i(all_4_151))
% 33.62/5.56 | | | | | |
% 33.62/5.56 | | | | | | BETA: splitting (1093) gives:
% 33.62/5.56 | | | | | |
% 33.62/5.56 | | | | | | Case 1:
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | (1094) ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~
% 33.62/5.56 | | | | | | | (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) =
% 33.62/5.56 | | | | | | | all_4_148 & $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~
% 33.62/5.56 | | | | | | | (all_4_149 = e2) & ~ (all_4_149 = e0) & ~ (all_4_149
% 33.62/5.56 | | | | | | | = e1) & op(e3, e1) = all_4_149 & $i(all_4_149))
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | BETA: splitting (1094) gives:
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | Case 1:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1095) ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~
% 33.62/5.56 | | | | | | | | (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) =
% 33.62/5.56 | | | | | | | | all_4_148 & $i(all_4_148)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1095) implies:
% 33.62/5.56 | | | | | | | | (1096) ~ (all_4_148 = e1)
% 33.62/5.56 | | | | | | | | (1097) op(e3, e2) = all_4_148
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_148, e2, e3,
% 33.62/5.56 | | | | | | | | simplifying with (18), (1097) gives:
% 33.62/5.56 | | | | | | | | (1098) all_4_148 = e1
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1096), (1098) imply:
% 33.62/5.56 | | | | | | | | (1099) $false
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | CLOSE: (1099) is inconsistent.
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | Case 2:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1100) ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~
% 33.62/5.56 | | | | | | | | (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, e1) =
% 33.62/5.56 | | | | | | | | all_4_149 & $i(all_4_149)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1100) implies:
% 33.62/5.56 | | | | | | | | (1101) ~ (all_4_149 = e2)
% 33.62/5.56 | | | | | | | | (1102) op(e3, e1) = all_4_149
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_149, e1, e3,
% 33.62/5.56 | | | | | | | | simplifying with (16), (1102) gives:
% 33.62/5.56 | | | | | | | | (1103) all_4_149 = e2
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1101), (1103) imply:
% 33.62/5.56 | | | | | | | | (1104) $false
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | CLOSE: (1104) is inconsistent.
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | End of split
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | Case 2:
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | (1105) ( ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~
% 33.62/5.56 | | | | | | | (all_4_150 = e0) & ~ (all_4_150 = e1) & op(e3, e0) =
% 33.62/5.56 | | | | | | | all_4_150 & $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~
% 33.62/5.56 | | | | | | | (all_4_151 = e2) & ~ (all_4_151 = e0) & ~ (all_4_151
% 33.62/5.56 | | | | | | | = e1) & op(e2, e3) = all_4_151 & $i(all_4_151))
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | BETA: splitting (1105) gives:
% 33.62/5.56 | | | | | | |
% 33.62/5.56 | | | | | | | Case 1:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1106) ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~
% 33.62/5.56 | | | | | | | | (all_4_150 = e0) & ~ (all_4_150 = e1) & op(e3, e0) =
% 33.62/5.56 | | | | | | | | all_4_150 & $i(all_4_150)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1106) implies:
% 33.62/5.56 | | | | | | | | (1107) ~ (all_4_150 = e3)
% 33.62/5.56 | | | | | | | | (1108) op(e3, e0) = all_4_150
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_150, e0, e3,
% 33.62/5.56 | | | | | | | | simplifying with (17), (1108) gives:
% 33.62/5.56 | | | | | | | | (1109) all_4_150 = e3
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | REDUCE: (1107), (1109) imply:
% 33.62/5.56 | | | | | | | | (1110) $false
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | CLOSE: (1110) is inconsistent.
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | Case 2:
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | (1111) ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~
% 33.62/5.56 | | | | | | | | (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) =
% 33.62/5.56 | | | | | | | | all_4_151 & $i(all_4_151)
% 33.62/5.56 | | | | | | | |
% 33.62/5.56 | | | | | | | | ALPHA: (1111) implies:
% 33.62/5.56 | | | | | | | | (1112) ~ (all_4_151 = e1)
% 33.62/5.57 | | | | | | | | (1113) op(e2, e3) = all_4_151
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_151, e3, e2,
% 33.62/5.57 | | | | | | | | simplifying with (15), (1113) gives:
% 33.62/5.57 | | | | | | | | (1114) all_4_151 = e1
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | REDUCE: (1112), (1114) imply:
% 33.62/5.57 | | | | | | | | (1115) $false
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | CLOSE: (1115) is inconsistent.
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | End of split
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | End of split
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | End of split
% 33.62/5.57 | | | | |
% 33.62/5.57 | | | | End of split
% 33.62/5.57 | | | |
% 33.62/5.57 | | | Case 2:
% 33.62/5.57 | | | |
% 33.62/5.57 | | | | (1116) ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152 =
% 33.62/5.57 | | | | e0) & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 &
% 33.62/5.57 | | | | $i(all_4_152)) | ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2)
% 33.62/5.57 | | | | & ~ (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) =
% 33.62/5.57 | | | | all_4_153 & $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~
% 33.62/5.57 | | | | (all_4_154 = e2) & ~ (all_4_154 = e0) & ~ (all_4_154 = e1)
% 33.62/5.57 | | | | & op(e1, e3) = all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 =
% 33.62/5.57 | | | | e3) & ~ (all_4_155 = e2) & ~ (all_4_155 = e0) & ~
% 33.62/5.57 | | | | (all_4_155 = e1) & op(e1, e2) = all_4_155 & $i(all_4_155)) |
% 33.62/5.57 | | | | ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 =
% 33.62/5.57 | | | | e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 &
% 33.62/5.57 | | | | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2)
% 33.62/5.57 | | | | & ~ (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) =
% 33.62/5.57 | | | | all_4_157 & $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~
% 33.62/5.57 | | | | (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ (all_4_158 = e1)
% 33.62/5.57 | | | | & op(e0, e2) = all_4_158 & $i(all_4_158)) | ( ~ (all_4_159 =
% 33.62/5.57 | | | | e3) & ~ (all_4_159 = e2) & ~ (all_4_159 = e0) & ~
% 33.62/5.57 | | | | (all_4_159 = e1) & op(e0, e1) = all_4_159 & $i(all_4_159)) |
% 33.62/5.57 | | | | ( ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ (all_4_160 =
% 33.62/5.57 | | | | e0) & ~ (all_4_160 = e1) & op(e3, e3) = all_4_160 &
% 33.62/5.57 | | | | $i(all_4_160)) | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2)
% 33.62/5.57 | | | | & ~ (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) =
% 33.62/5.57 | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~
% 33.62/5.57 | | | | (all_4_162 = e2) & ~ (all_4_162 = e0) & ~ (all_4_162 = e1)
% 33.62/5.57 | | | | & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (unit = e3)
% 33.62/5.57 | | | | & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) |
% 33.62/5.57 | | | | (op(e0, e0) = all_4_163 & $i(all_4_163) & (( ~ (all_4_163 =
% 33.62/5.57 | | | | e3) & ~ (all_4_163 = e2) & ~ (all_4_163 = e0) & ~
% 33.62/5.57 | | | | (all_4_163 = e1)) | (op(e3, e3) = all_4_160 & op(e2, e2)
% 33.62/5.57 | | | | = all_4_161 & op(e1, e1) = all_4_162 & $i(all_4_160) &
% 33.62/5.57 | | | | $i(all_4_161) & $i(all_4_162) & ((all_4_160 = e3 &
% 33.62/5.57 | | | | all_4_161 = e3 & all_4_162 = e3 & all_4_163 = e3) |
% 33.62/5.57 | | | | (all_4_160 = e2 & all_4_161 = e2 & all_4_162 = e2 &
% 33.62/5.57 | | | | all_4_163 = e2) | (all_4_160 = e0 & all_4_161 = e0 &
% 33.62/5.57 | | | | all_4_162 = e0 & all_4_163 = e0) | (all_4_160 = e1 &
% 33.62/5.57 | | | | all_4_161 = e1 & all_4_162 = e1 & all_4_163 =
% 33.62/5.57 | | | | e1)))))
% 33.62/5.57 | | | |
% 33.62/5.57 | | | | BETA: splitting (1116) gives:
% 33.62/5.57 | | | |
% 33.62/5.57 | | | | Case 1:
% 33.62/5.57 | | | | |
% 33.62/5.57 | | | | | (1117) ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152 =
% 33.62/5.57 | | | | | e0) & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 &
% 33.62/5.57 | | | | | $i(all_4_152)) | ( ~ (all_4_153 = e3) & ~ (all_4_153 =
% 33.62/5.57 | | | | | e2) & ~ (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2,
% 33.62/5.57 | | | | | e0) = all_4_153 & $i(all_4_153)) | ( ~ (all_4_154 = e3)
% 33.62/5.57 | | | | | & ~ (all_4_154 = e2) & ~ (all_4_154 = e0) & ~
% 33.62/5.57 | | | | | (all_4_154 = e1) & op(e1, e3) = all_4_154 & $i(all_4_154))
% 33.62/5.57 | | | | | | ( ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ (all_4_155
% 33.62/5.57 | | | | | = e0) & ~ (all_4_155 = e1) & op(e1, e2) = all_4_155 &
% 33.62/5.57 | | | | | $i(all_4_155)) | ( ~ (all_4_156 = e3) & ~ (all_4_156 =
% 33.62/5.57 | | | | | e2) & ~ (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1,
% 33.62/5.57 | | | | | e0) = all_4_156 & $i(all_4_156)) | ( ~ (all_4_157 = e3)
% 33.62/5.57 | | | | | & ~ (all_4_157 = e2) & ~ (all_4_157 = e0) & ~
% 33.62/5.57 | | | | | (all_4_157 = e1) & op(e0, e3) = all_4_157 & $i(all_4_157))
% 33.62/5.57 | | | | |
% 33.62/5.57 | | | | | BETA: splitting (1117) gives:
% 33.62/5.57 | | | | |
% 33.62/5.57 | | | | | Case 1:
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | (1118) ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152
% 33.62/5.57 | | | | | | = e0) & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 &
% 33.62/5.57 | | | | | | $i(all_4_152)) | ( ~ (all_4_153 = e3) & ~ (all_4_153 =
% 33.62/5.57 | | | | | | e2) & ~ (all_4_153 = e0) & ~ (all_4_153 = e1) &
% 33.62/5.57 | | | | | | op(e2, e0) = all_4_153 & $i(all_4_153)) | ( ~ (all_4_154
% 33.62/5.57 | | | | | | = e3) & ~ (all_4_154 = e2) & ~ (all_4_154 = e0) & ~
% 33.62/5.57 | | | | | | (all_4_154 = e1) & op(e1, e3) = all_4_154 &
% 33.62/5.57 | | | | | | $i(all_4_154))
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | BETA: splitting (1118) gives:
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | Case 1:
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | (1119) ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~
% 33.62/5.57 | | | | | | | (all_4_152 = e0) & ~ (all_4_152 = e1) & op(e2, e1) =
% 33.62/5.57 | | | | | | | all_4_152 & $i(all_4_152)
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | ALPHA: (1119) implies:
% 33.62/5.57 | | | | | | | (1120) ~ (all_4_152 = e0)
% 33.62/5.57 | | | | | | | (1121) op(e2, e1) = all_4_152
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_152, e1, e2,
% 33.62/5.57 | | | | | | | simplifying with (12), (1121) gives:
% 33.62/5.57 | | | | | | | (1122) all_4_152 = e0
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | REDUCE: (1120), (1122) imply:
% 33.62/5.57 | | | | | | | (1123) $false
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | CLOSE: (1123) is inconsistent.
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | Case 2:
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | (1124) ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~
% 33.62/5.57 | | | | | | | (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) =
% 33.62/5.57 | | | | | | | all_4_153 & $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~
% 33.62/5.57 | | | | | | | (all_4_154 = e2) & ~ (all_4_154 = e0) & ~ (all_4_154
% 33.62/5.57 | | | | | | | = e1) & op(e1, e3) = all_4_154 & $i(all_4_154))
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | BETA: splitting (1124) gives:
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | Case 1:
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | (1125) ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~
% 33.62/5.57 | | | | | | | | (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) =
% 33.62/5.57 | | | | | | | | all_4_153 & $i(all_4_153)
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | ALPHA: (1125) implies:
% 33.62/5.57 | | | | | | | | (1126) ~ (all_4_153 = e2)
% 33.62/5.57 | | | | | | | | (1127) op(e2, e0) = all_4_153
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_153, e0, e2,
% 33.62/5.57 | | | | | | | | simplifying with (13), (1127) gives:
% 33.62/5.57 | | | | | | | | (1128) all_4_153 = e2
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | REDUCE: (1126), (1128) imply:
% 33.62/5.57 | | | | | | | | (1129) $false
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | CLOSE: (1129) is inconsistent.
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | Case 2:
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | (1130) ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & ~
% 33.62/5.57 | | | | | | | | (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) =
% 33.62/5.57 | | | | | | | | all_4_154 & $i(all_4_154)
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | ALPHA: (1130) implies:
% 33.62/5.57 | | | | | | | | (1131) ~ (all_4_154 = e2)
% 33.62/5.57 | | | | | | | | (1132) op(e1, e3) = all_4_154
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_154, e3, e1,
% 33.62/5.57 | | | | | | | | simplifying with (7), (1132) gives:
% 33.62/5.57 | | | | | | | | (1133) all_4_154 = e2
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | REDUCE: (1131), (1133) imply:
% 33.62/5.57 | | | | | | | | (1134) $false
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | | CLOSE: (1134) is inconsistent.
% 33.62/5.57 | | | | | | | |
% 33.62/5.57 | | | | | | | End of split
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | End of split
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | Case 2:
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | (1135) ( ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ (all_4_155
% 33.62/5.57 | | | | | | = e0) & ~ (all_4_155 = e1) & op(e1, e2) = all_4_155 &
% 33.62/5.57 | | | | | | $i(all_4_155)) | ( ~ (all_4_156 = e3) & ~ (all_4_156 =
% 33.62/5.57 | | | | | | e2) & ~ (all_4_156 = e0) & ~ (all_4_156 = e1) &
% 33.62/5.57 | | | | | | op(e1, e0) = all_4_156 & $i(all_4_156)) | ( ~ (all_4_157
% 33.62/5.57 | | | | | | = e3) & ~ (all_4_157 = e2) & ~ (all_4_157 = e0) & ~
% 33.62/5.57 | | | | | | (all_4_157 = e1) & op(e0, e3) = all_4_157 &
% 33.62/5.57 | | | | | | $i(all_4_157))
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | BETA: splitting (1135) gives:
% 33.62/5.57 | | | | | |
% 33.62/5.57 | | | | | | Case 1:
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | (1136) ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~
% 33.62/5.57 | | | | | | | (all_4_155 = e0) & ~ (all_4_155 = e1) & op(e1, e2) =
% 33.62/5.57 | | | | | | | all_4_155 & $i(all_4_155)
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | ALPHA: (1136) implies:
% 33.62/5.57 | | | | | | | (1137) ~ (all_4_155 = e0)
% 33.62/5.57 | | | | | | | (1138) op(e1, e2) = all_4_155
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_155, e2, e1,
% 33.62/5.57 | | | | | | | simplifying with (6), (1138) gives:
% 33.62/5.57 | | | | | | | (1139) all_4_155 = e0
% 33.62/5.57 | | | | | | |
% 33.62/5.57 | | | | | | | REDUCE: (1137), (1139) imply:
% 33.62/5.58 | | | | | | | (1140) $false
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | CLOSE: (1140) is inconsistent.
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | Case 2:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | (1141) ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~
% 33.62/5.58 | | | | | | | (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1, e0) =
% 33.62/5.58 | | | | | | | all_4_156 & $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~
% 33.62/5.58 | | | | | | | (all_4_157 = e2) & ~ (all_4_157 = e0) & ~ (all_4_157
% 33.62/5.58 | | | | | | | = e1) & op(e0, e3) = all_4_157 & $i(all_4_157))
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | BETA: splitting (1141) gives:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | Case 1:
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | (1142) ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~
% 33.62/5.58 | | | | | | | | (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1, e0) =
% 33.62/5.58 | | | | | | | | all_4_156 & $i(all_4_156)
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | ALPHA: (1142) implies:
% 33.62/5.58 | | | | | | | | (1143) ~ (all_4_156 = e1)
% 33.62/5.58 | | | | | | | | (1144) op(e1, e0) = all_4_156
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_156, e0, e1,
% 33.62/5.58 | | | | | | | | simplifying with (5), (1144) gives:
% 33.62/5.58 | | | | | | | | (1145) all_4_156 = e1
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | REDUCE: (1143), (1145) imply:
% 33.62/5.58 | | | | | | | | (1146) $false
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | CLOSE: (1146) is inconsistent.
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | Case 2:
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | (1147) ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~
% 33.62/5.58 | | | | | | | | (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) =
% 33.62/5.58 | | | | | | | | all_4_157 & $i(all_4_157)
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | ALPHA: (1147) implies:
% 33.62/5.58 | | | | | | | | (1148) ~ (all_4_157 = e3)
% 33.62/5.58 | | | | | | | | (1149) op(e0, e3) = all_4_157
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_157, e3, e0,
% 33.62/5.58 | | | | | | | | simplifying with (11), (1149) gives:
% 33.62/5.58 | | | | | | | | (1150) all_4_157 = e3
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | REDUCE: (1148), (1150) imply:
% 33.62/5.58 | | | | | | | | (1151) $false
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | CLOSE: (1151) is inconsistent.
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | End of split
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | End of split
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | End of split
% 33.62/5.58 | | | | |
% 33.62/5.58 | | | | Case 2:
% 33.62/5.58 | | | | |
% 33.62/5.58 | | | | | (1152) ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ (all_4_158 =
% 33.62/5.58 | | | | | e0) & ~ (all_4_158 = e1) & op(e0, e2) = all_4_158 &
% 33.62/5.58 | | | | | $i(all_4_158)) | ( ~ (all_4_159 = e3) & ~ (all_4_159 =
% 33.62/5.58 | | | | | e2) & ~ (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0,
% 33.62/5.58 | | | | | e1) = all_4_159 & $i(all_4_159)) | ( ~ (all_4_160 = e3)
% 33.62/5.58 | | | | | & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) & ~
% 33.62/5.58 | | | | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & $i(all_4_160))
% 33.62/5.58 | | | | | | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161
% 33.62/5.58 | | | | | = e0) & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 &
% 33.62/5.58 | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~ (all_4_162 =
% 33.62/5.58 | | | | | e2) & ~ (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1,
% 33.62/5.58 | | | | | e1) = all_4_162 & $i(all_4_162)) | ( ~ (unit = e3) & ~
% 33.62/5.58 | | | | | (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | (op(e0,
% 33.62/5.58 | | | | | e0) = all_4_163 & $i(all_4_163) & (( ~ (all_4_163 = e3)
% 33.62/5.58 | | | | | & ~ (all_4_163 = e2) & ~ (all_4_163 = e0) & ~
% 33.62/5.58 | | | | | (all_4_163 = e1)) | (op(e3, e3) = all_4_160 & op(e2,
% 33.62/5.58 | | | | | e2) = all_4_161 & op(e1, e1) = all_4_162 &
% 33.62/5.58 | | | | | $i(all_4_160) & $i(all_4_161) & $i(all_4_162) &
% 33.62/5.58 | | | | | ((all_4_160 = e3 & all_4_161 = e3 & all_4_162 = e3 &
% 33.62/5.58 | | | | | all_4_163 = e3) | (all_4_160 = e2 & all_4_161 = e2
% 33.62/5.58 | | | | | & all_4_162 = e2 & all_4_163 = e2) | (all_4_160 =
% 33.62/5.58 | | | | | e0 & all_4_161 = e0 & all_4_162 = e0 & all_4_163 =
% 33.62/5.58 | | | | | e0) | (all_4_160 = e1 & all_4_161 = e1 & all_4_162
% 33.62/5.58 | | | | | = e1 & all_4_163 = e1)))))
% 33.62/5.58 | | | | |
% 33.62/5.58 | | | | | BETA: splitting (1152) gives:
% 33.62/5.58 | | | | |
% 33.62/5.58 | | | | | Case 1:
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | (1153) ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ (all_4_158
% 33.62/5.58 | | | | | | = e0) & ~ (all_4_158 = e1) & op(e0, e2) = all_4_158 &
% 33.62/5.58 | | | | | | $i(all_4_158)) | ( ~ (all_4_159 = e3) & ~ (all_4_159 =
% 33.62/5.58 | | | | | | e2) & ~ (all_4_159 = e0) & ~ (all_4_159 = e1) &
% 33.62/5.58 | | | | | | op(e0, e1) = all_4_159 & $i(all_4_159)) | ( ~ (all_4_160
% 33.62/5.58 | | | | | | = e3) & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) & ~
% 33.62/5.58 | | | | | | (all_4_160 = e1) & op(e3, e3) = all_4_160 &
% 33.62/5.58 | | | | | | $i(all_4_160))
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | BETA: splitting (1153) gives:
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | Case 1:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | (1154) ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~
% 33.62/5.58 | | | | | | | (all_4_158 = e0) & ~ (all_4_158 = e1) & op(e0, e2) =
% 33.62/5.58 | | | | | | | all_4_158 & $i(all_4_158)
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | ALPHA: (1154) implies:
% 33.62/5.58 | | | | | | | (1155) ~ (all_4_158 = e2)
% 33.62/5.58 | | | | | | | (1156) op(e0, e2) = all_4_158
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | GROUND_INST: instantiating (27) with e2, all_4_158, e2, e0,
% 33.62/5.58 | | | | | | | simplifying with (10), (1156) gives:
% 33.62/5.58 | | | | | | | (1157) all_4_158 = e2
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | REDUCE: (1155), (1157) imply:
% 33.62/5.58 | | | | | | | (1158) $false
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | CLOSE: (1158) is inconsistent.
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | Case 2:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | (1159) ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~
% 33.62/5.58 | | | | | | | (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0, e1) =
% 33.62/5.58 | | | | | | | all_4_159 & $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~
% 33.62/5.58 | | | | | | | (all_4_160 = e2) & ~ (all_4_160 = e0) & ~ (all_4_160
% 33.62/5.58 | | | | | | | = e1) & op(e3, e3) = all_4_160 & $i(all_4_160))
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | BETA: splitting (1159) gives:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | Case 1:
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | (1160) ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~
% 33.62/5.58 | | | | | | | | (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0, e1) =
% 33.62/5.58 | | | | | | | | all_4_159 & $i(all_4_159)
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | ALPHA: (1160) implies:
% 33.62/5.58 | | | | | | | | (1161) ~ (all_4_159 = e1)
% 33.62/5.58 | | | | | | | | (1162) op(e0, e1) = all_4_159
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | GROUND_INST: instantiating (27) with e1, all_4_159, e1, e0,
% 33.62/5.58 | | | | | | | | simplifying with (8), (1162) gives:
% 33.62/5.58 | | | | | | | | (1163) all_4_159 = e1
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | REDUCE: (1161), (1163) imply:
% 33.62/5.58 | | | | | | | | (1164) $false
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | CLOSE: (1164) is inconsistent.
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | Case 2:
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | (1165) ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~
% 33.62/5.58 | | | | | | | | (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) =
% 33.62/5.58 | | | | | | | | all_4_160 & $i(all_4_160)
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | ALPHA: (1165) implies:
% 33.62/5.58 | | | | | | | | (1166) ~ (all_4_160 = e0)
% 33.62/5.58 | | | | | | | | (1167) op(e3, e3) = all_4_160
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_160, e3, e3,
% 33.62/5.58 | | | | | | | | simplifying with (19), (1167) gives:
% 33.62/5.58 | | | | | | | | (1168) all_4_160 = e0
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | REDUCE: (1166), (1168) imply:
% 33.62/5.58 | | | | | | | | (1169) $false
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | CLOSE: (1169) is inconsistent.
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | End of split
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | End of split
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | Case 2:
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | (1170) ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161
% 33.62/5.58 | | | | | | = e0) & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 &
% 33.62/5.58 | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~ (all_4_162 =
% 33.62/5.58 | | | | | | e2) & ~ (all_4_162 = e0) & ~ (all_4_162 = e1) &
% 33.62/5.58 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (unit =
% 33.62/5.58 | | | | | | e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit =
% 33.62/5.58 | | | | | | e1)) | (op(e0, e0) = all_4_163 & $i(all_4_163) & (( ~
% 33.62/5.58 | | | | | | (all_4_163 = e3) & ~ (all_4_163 = e2) & ~
% 33.62/5.58 | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1)) | (op(e3,
% 33.62/5.58 | | | | | | e3) = all_4_160 & op(e2, e2) = all_4_161 & op(e1,
% 33.62/5.58 | | | | | | e1) = all_4_162 & $i(all_4_160) & $i(all_4_161) &
% 33.62/5.58 | | | | | | $i(all_4_162) & ((all_4_160 = e3 & all_4_161 = e3 &
% 33.62/5.58 | | | | | | all_4_162 = e3 & all_4_163 = e3) | (all_4_160 =
% 33.62/5.58 | | | | | | e2 & all_4_161 = e2 & all_4_162 = e2 & all_4_163
% 33.62/5.58 | | | | | | = e2) | (all_4_160 = e0 & all_4_161 = e0 &
% 33.62/5.58 | | | | | | all_4_162 = e0 & all_4_163 = e0) | (all_4_160 =
% 33.62/5.58 | | | | | | e1 & all_4_161 = e1 & all_4_162 = e1 & all_4_163
% 33.62/5.58 | | | | | | = e1)))))
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | BETA: splitting (1170) gives:
% 33.62/5.58 | | | | | |
% 33.62/5.58 | | | | | | Case 1:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | (1171) ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~
% 33.62/5.58 | | | | | | | (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) =
% 33.62/5.58 | | | | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~
% 33.62/5.58 | | | | | | | (all_4_162 = e2) & ~ (all_4_162 = e0) & ~ (all_4_162
% 33.62/5.58 | | | | | | | = e1) & op(e1, e1) = all_4_162 & $i(all_4_162))
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | BETA: splitting (1171) gives:
% 33.62/5.58 | | | | | | |
% 33.62/5.58 | | | | | | | Case 1:
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | (1172) ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~
% 33.62/5.58 | | | | | | | | (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) =
% 33.62/5.58 | | | | | | | | all_4_161 & $i(all_4_161)
% 33.62/5.58 | | | | | | | |
% 33.62/5.58 | | | | | | | | ALPHA: (1172) implies:
% 33.62/5.59 | | | | | | | | (1173) ~ (all_4_161 = e3)
% 33.62/5.59 | | | | | | | | (1174) op(e2, e2) = all_4_161
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_161, e2, e2,
% 33.62/5.59 | | | | | | | | simplifying with (14), (1174) gives:
% 33.62/5.59 | | | | | | | | (1175) all_4_161 = e3
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | REDUCE: (1173), (1175) imply:
% 33.62/5.59 | | | | | | | | (1176) $false
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | CLOSE: (1176) is inconsistent.
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | (1177) ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~
% 33.62/5.59 | | | | | | | | (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) =
% 33.62/5.59 | | | | | | | | all_4_162 & $i(all_4_162)
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | ALPHA: (1177) implies:
% 33.62/5.59 | | | | | | | | (1178) ~ (all_4_162 = e3)
% 33.62/5.59 | | | | | | | | (1179) op(e1, e1) = all_4_162
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.62/5.59 | | | | | | | | simplifying with (4), (1179) gives:
% 33.62/5.59 | | | | | | | | (1180) all_4_162 = e3
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | REDUCE: (1178), (1180) imply:
% 33.62/5.59 | | | | | | | | (1181) $false
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | CLOSE: (1181) is inconsistent.
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | End of split
% 33.62/5.59 | | | | | | |
% 33.62/5.59 | | | | | | Case 2:
% 33.62/5.59 | | | | | | |
% 33.62/5.59 | | | | | | | (1182) ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~
% 33.62/5.59 | | | | | | | (unit = e1)) | (op(e0, e0) = all_4_163 & $i(all_4_163)
% 33.62/5.59 | | | | | | | & (( ~ (all_4_163 = e3) & ~ (all_4_163 = e2) & ~
% 33.62/5.59 | | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1)) | (op(e3,
% 33.62/5.59 | | | | | | | e3) = all_4_160 & op(e2, e2) = all_4_161 &
% 33.62/5.59 | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_160) &
% 33.62/5.59 | | | | | | | $i(all_4_161) & $i(all_4_162) & ((all_4_160 = e3 &
% 33.62/5.59 | | | | | | | all_4_161 = e3 & all_4_162 = e3 & all_4_163 =
% 33.62/5.59 | | | | | | | e3) | (all_4_160 = e2 & all_4_161 = e2 &
% 33.62/5.59 | | | | | | | all_4_162 = e2 & all_4_163 = e2) | (all_4_160
% 33.62/5.59 | | | | | | | = e0 & all_4_161 = e0 & all_4_162 = e0 &
% 33.62/5.59 | | | | | | | all_4_163 = e0) | (all_4_160 = e1 & all_4_161
% 33.62/5.59 | | | | | | | = e1 & all_4_162 = e1 & all_4_163 = e1)))))
% 33.62/5.59 | | | | | | |
% 33.62/5.59 | | | | | | | BETA: splitting (1182) gives:
% 33.62/5.59 | | | | | | |
% 33.62/5.59 | | | | | | | Case 1:
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | (1183) ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~
% 33.62/5.59 | | | | | | | | (unit = e1)
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | ALPHA: (1183) implies:
% 33.62/5.59 | | | | | | | | (1184) ~ (unit = e0)
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | REDUCE: (20), (1184) imply:
% 33.62/5.59 | | | | | | | | (1185) $false
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | CLOSE: (1185) is inconsistent.
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | (1186) op(e0, e0) = all_4_163 & $i(all_4_163) & (( ~
% 33.62/5.59 | | | | | | | | (all_4_163 = e3) & ~ (all_4_163 = e2) & ~
% 33.62/5.59 | | | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1)) | (op(e3,
% 33.62/5.59 | | | | | | | | e3) = all_4_160 & op(e2, e2) = all_4_161 &
% 33.62/5.59 | | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_160) &
% 33.62/5.59 | | | | | | | | $i(all_4_161) & $i(all_4_162) & ((all_4_160 = e3 &
% 33.62/5.59 | | | | | | | | all_4_161 = e3 & all_4_162 = e3 & all_4_163 =
% 33.62/5.59 | | | | | | | | e3) | (all_4_160 = e2 & all_4_161 = e2 &
% 33.62/5.59 | | | | | | | | all_4_162 = e2 & all_4_163 = e2) | (all_4_160
% 33.62/5.59 | | | | | | | | = e0 & all_4_161 = e0 & all_4_162 = e0 &
% 33.62/5.59 | | | | | | | | all_4_163 = e0) | (all_4_160 = e1 & all_4_161
% 33.62/5.59 | | | | | | | | = e1 & all_4_162 = e1 & all_4_163 = e1))))
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | ALPHA: (1186) implies:
% 33.62/5.59 | | | | | | | | (1187) op(e0, e0) = all_4_163
% 33.62/5.59 | | | | | | | | (1188) ( ~ (all_4_163 = e3) & ~ (all_4_163 = e2) & ~
% 33.62/5.59 | | | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1)) | (op(e3,
% 33.62/5.59 | | | | | | | | e3) = all_4_160 & op(e2, e2) = all_4_161 & op(e1,
% 33.62/5.59 | | | | | | | | e1) = all_4_162 & $i(all_4_160) & $i(all_4_161) &
% 33.62/5.59 | | | | | | | | $i(all_4_162) & ((all_4_160 = e3 & all_4_161 = e3 &
% 33.62/5.59 | | | | | | | | all_4_162 = e3 & all_4_163 = e3) | (all_4_160 =
% 33.62/5.59 | | | | | | | | e2 & all_4_161 = e2 & all_4_162 = e2 & all_4_163
% 33.62/5.59 | | | | | | | | = e2) | (all_4_160 = e0 & all_4_161 = e0 &
% 33.62/5.59 | | | | | | | | all_4_162 = e0 & all_4_163 = e0) | (all_4_160 =
% 33.62/5.59 | | | | | | | | e1 & all_4_161 = e1 & all_4_162 = e1 & all_4_163
% 33.62/5.59 | | | | | | | | = e1)))
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | BETA: splitting (1188) gives:
% 33.62/5.59 | | | | | | | |
% 33.62/5.59 | | | | | | | | Case 1:
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | (1189) ~ (all_4_163 = e3) & ~ (all_4_163 = e2) & ~
% 33.62/5.59 | | | | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1)
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | ALPHA: (1189) implies:
% 33.62/5.59 | | | | | | | | | (1190) ~ (all_4_163 = e0)
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.59 | | | | | | | | | simplifying with (9), (1187) gives:
% 33.62/5.59 | | | | | | | | | (1191) all_4_163 = e0
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | REDUCE: (1190), (1191) imply:
% 33.62/5.59 | | | | | | | | | (1192) $false
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | CLOSE: (1192) is inconsistent.
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | (1193) op(e3, e3) = all_4_160 & op(e2, e2) = all_4_161 &
% 33.62/5.59 | | | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_160) &
% 33.62/5.59 | | | | | | | | | $i(all_4_161) & $i(all_4_162) & ((all_4_160 = e3 &
% 33.62/5.59 | | | | | | | | | all_4_161 = e3 & all_4_162 = e3 & all_4_163 =
% 33.62/5.59 | | | | | | | | | e3) | (all_4_160 = e2 & all_4_161 = e2 &
% 33.62/5.59 | | | | | | | | | all_4_162 = e2 & all_4_163 = e2) | (all_4_160 =
% 33.62/5.59 | | | | | | | | | e0 & all_4_161 = e0 & all_4_162 = e0 & all_4_163
% 33.62/5.59 | | | | | | | | | = e0) | (all_4_160 = e1 & all_4_161 = e1 &
% 33.62/5.59 | | | | | | | | | all_4_162 = e1 & all_4_163 = e1))
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | ALPHA: (1193) implies:
% 33.62/5.59 | | | | | | | | | (1194) op(e1, e1) = all_4_162
% 33.62/5.59 | | | | | | | | | (1195) (all_4_160 = e3 & all_4_161 = e3 & all_4_162 = e3 &
% 33.62/5.59 | | | | | | | | | all_4_163 = e3) | (all_4_160 = e2 & all_4_161 = e2
% 33.62/5.59 | | | | | | | | | & all_4_162 = e2 & all_4_163 = e2) | (all_4_160 =
% 33.62/5.59 | | | | | | | | | e0 & all_4_161 = e0 & all_4_162 = e0 & all_4_163 =
% 33.62/5.59 | | | | | | | | | e0) | (all_4_160 = e1 & all_4_161 = e1 & all_4_162
% 33.62/5.59 | | | | | | | | | = e1 & all_4_163 = e1)
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | GROUND_INST: instantiating (27) with e3, all_4_162, e1, e1,
% 33.62/5.59 | | | | | | | | | simplifying with (4), (1194) gives:
% 33.62/5.59 | | | | | | | | | (1196) all_4_162 = e3
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | GROUND_INST: instantiating (27) with e0, all_4_163, e0, e0,
% 33.62/5.59 | | | | | | | | | simplifying with (9), (1187) gives:
% 33.62/5.59 | | | | | | | | | (1197) all_4_163 = e0
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | BETA: splitting (1195) gives:
% 33.62/5.59 | | | | | | | | |
% 33.62/5.59 | | | | | | | | | Case 1:
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | (1198) (all_4_160 = e3 & all_4_161 = e3 & all_4_162 = e3
% 33.62/5.59 | | | | | | | | | | & all_4_163 = e3) | (all_4_160 = e2 & all_4_161
% 33.62/5.59 | | | | | | | | | | = e2 & all_4_162 = e2 & all_4_163 = e2)
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | BETA: splitting (1198) gives:
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | Case 1:
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | (1199) all_4_160 = e3 & all_4_161 = e3 & all_4_162 = e3 &
% 33.62/5.59 | | | | | | | | | | | all_4_163 = e3
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | ALPHA: (1199) implies:
% 33.62/5.59 | | | | | | | | | | | (1200) all_4_163 = e3
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | COMBINE_EQS: (1197), (1200) imply:
% 33.62/5.59 | | | | | | | | | | | (1201) e3 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | REDUCE: (3), (1201) imply:
% 33.62/5.59 | | | | | | | | | | | (1202) $false
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | CLOSE: (1202) is inconsistent.
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | (1203) all_4_160 = e2 & all_4_161 = e2 & all_4_162 = e2 &
% 33.62/5.59 | | | | | | | | | | | all_4_163 = e2
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | ALPHA: (1203) implies:
% 33.62/5.59 | | | | | | | | | | | (1204) all_4_163 = e2
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | COMBINE_EQS: (1197), (1204) imply:
% 33.62/5.59 | | | | | | | | | | | (1205) e2 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | REDUCE: (2), (1205) imply:
% 33.62/5.59 | | | | | | | | | | | (1206) $false
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | CLOSE: (1206) is inconsistent.
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | End of split
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | (1207) (all_4_160 = e0 & all_4_161 = e0 & all_4_162 = e0
% 33.62/5.59 | | | | | | | | | | & all_4_163 = e0) | (all_4_160 = e1 & all_4_161
% 33.62/5.59 | | | | | | | | | | = e1 & all_4_162 = e1 & all_4_163 = e1)
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | BETA: splitting (1207) gives:
% 33.62/5.59 | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | Case 1:
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | (1208) all_4_160 = e0 & all_4_161 = e0 & all_4_162 = e0 &
% 33.62/5.59 | | | | | | | | | | | all_4_163 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | ALPHA: (1208) implies:
% 33.62/5.59 | | | | | | | | | | | (1209) all_4_162 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | COMBINE_EQS: (1196), (1209) imply:
% 33.62/5.59 | | | | | | | | | | | (1210) e3 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | SIMP: (1210) implies:
% 33.62/5.59 | | | | | | | | | | | (1211) e3 = e0
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | REDUCE: (3), (1211) imply:
% 33.62/5.59 | | | | | | | | | | | (1212) $false
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | CLOSE: (1212) is inconsistent.
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | Case 2:
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | (1213) all_4_160 = e1 & all_4_161 = e1 & all_4_162 = e1 &
% 33.62/5.59 | | | | | | | | | | | all_4_163 = e1
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | ALPHA: (1213) implies:
% 33.62/5.59 | | | | | | | | | | | (1214) all_4_163 = e1
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | COMBINE_EQS: (1197), (1214) imply:
% 33.62/5.59 | | | | | | | | | | | (1215) e0 = e1
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | SIMP: (1215) implies:
% 33.62/5.59 | | | | | | | | | | | (1216) e0 = e1
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | REDUCE: (1), (1216) imply:
% 33.62/5.59 | | | | | | | | | | | (1217) $false
% 33.62/5.59 | | | | | | | | | | |
% 33.62/5.59 | | | | | | | | | | | CLOSE: (1217) is inconsistent.
% 33.62/5.60 | | | | | | | | | | |
% 33.62/5.60 | | | | | | | | | | End of split
% 33.62/5.60 | | | | | | | | | |
% 33.62/5.60 | | | | | | | | | End of split
% 33.62/5.60 | | | | | | | | |
% 33.62/5.60 | | | | | | | | End of split
% 33.62/5.60 | | | | | | | |
% 33.62/5.60 | | | | | | | End of split
% 33.62/5.60 | | | | | | |
% 33.62/5.60 | | | | | | End of split
% 33.62/5.60 | | | | | |
% 33.62/5.60 | | | | | End of split
% 33.62/5.60 | | | | |
% 33.62/5.60 | | | | End of split
% 33.62/5.60 | | | |
% 33.62/5.60 | | | End of split
% 33.62/5.60 | | |
% 33.62/5.60 | | End of split
% 33.62/5.60 | |
% 33.62/5.60 | End of split
% 33.62/5.60 |
% 33.62/5.60 End of proof
% 33.62/5.60 % SZS output end Proof for theBenchmark
% 33.62/5.60
% 33.62/5.60 4999ms
%------------------------------------------------------------------------------