%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------