%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG021+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 : n031.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 7.32s 1.72s % Output : Proof 24.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG021+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n031.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Aug 28 05:12:09 EDT 2023 % 0.20/0.34 % CPUTime : % 0.20/0.59 ________ _____ % 0.20/0.59 ___ __ \_________(_)________________________________ % 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.59 (2023-06-19) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2023 % 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.59 Amanda Stjerna. % 0.20/0.59 Free software under BSD-3-Clause. % 0.20/0.59 % 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.59 % 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.60 Running up to 7 provers in parallel. % 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.66/1.21 Prover 1: Preprocessing ... % 3.66/1.21 Prover 4: Preprocessing ... % 3.83/1.26 Prover 3: Preprocessing ... % 3.83/1.26 Prover 2: Preprocessing ... % 3.83/1.26 Prover 0: Preprocessing ... % 3.83/1.26 Prover 5: Preprocessing ... % 3.83/1.26 Prover 6: Preprocessing ... % 7.08/1.68 Prover 3: Constructing countermodel ... % 7.08/1.68 Prover 4: Constructing countermodel ... % 7.08/1.68 Prover 1: Constructing countermodel ... % 7.08/1.69 Prover 2: Constructing countermodel ... % 7.32/1.71 Prover 3: proved (1098ms) % 7.32/1.71 Prover 2: proved (1098ms) % 7.32/1.72 % 7.32/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.32/1.72 % 7.32/1.72 % 7.32/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.32/1.72 % 7.32/1.72 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.32/1.72 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.45/1.75 Prover 5: Constructing countermodel ... % 7.45/1.75 Prover 5: stopped % 7.45/1.75 Prover 6: Constructing countermodel ... % 7.45/1.75 Prover 6: stopped % 7.45/1.79 Prover 0: Constructing countermodel ... % 7.45/1.79 Prover 0: stopped % 7.45/1.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.45/1.79 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.45/1.80 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.50/1.90 Prover 7: Preprocessing ... % 8.50/1.95 Prover 8: Preprocessing ... % 9.24/1.98 Prover 10: Preprocessing ... % 9.24/2.00 Prover 13: Preprocessing ... % 9.24/2.01 Prover 11: Preprocessing ... % 9.24/2.02 Prover 7: Constructing countermodel ... % 9.24/2.06 Prover 8: Constructing countermodel ... % 9.24/2.11 Prover 13: Constructing countermodel ... % 10.10/2.13 Prover 10: Constructing countermodel ... % 10.10/2.14 Prover 11: Constructing countermodel ... % 21.59/3.68 Prover 10: Found proof (size 945) % 21.59/3.68 Prover 10: proved (1903ms) % 22.01/3.68 Prover 11: stopped % 22.01/3.68 Prover 8: stopped % 22.01/3.68 Prover 7: stopped % 22.01/3.73 Prover 4: Found proof (size 1063) % 22.01/3.73 Prover 4: proved (3117ms) % 22.46/3.77 Prover 13: Found proof (size 1063) % 22.46/3.77 Prover 13: proved (1965ms) % 22.55/3.78 Prover 1: Found proof (size 1063) % 22.55/3.78 Prover 1: proved (3161ms) % 22.55/3.78 % 22.55/3.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 22.55/3.78 % 22.55/3.81 % SZS output start Proof for theBenchmark % 22.55/3.81 Assumptions after simplification: % 22.55/3.81 --------------------------------- % 22.55/3.81 % 22.55/3.81 (ax2) % 22.83/3.85 op(e3, e3) = e0 & op(e3, e2) = e1 & op(e3, e0) = e3 & op(e3, e1) = e2 & op(e2, % 22.83/3.85 e3) = e1 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e2, e1) = e3 & op(e0, e3) % 22.83/3.85 = e3 & op(e0, e2) = e2 & op(e0, e0) = e0 & op(e0, e1) = e1 & op(e1, e3) = e2 & % 22.83/3.85 op(e1, e2) = e3 & op(e1, e0) = e1 & op(e1, e1) = e0 & $i(e3) & $i(e2) & $i(e0) % 22.83/3.85 & $i(e1) % 22.83/3.85 % 22.83/3.85 (ax3) % 22.83/3.85 unit = e0 & $i(e0) % 22.83/3.85 % 22.83/3.85 (ax4) % 22.83/3.85 inv(e3) = e3 & inv(e2) = e2 & inv(e0) = e0 & inv(e1) = e1 & $i(e3) & $i(e2) & % 22.83/3.85 $i(e0) & $i(e1) % 22.83/3.85 % 22.83/3.85 (co1) % 22.83/3.89 $i(unit) & $i(e3) & $i(e2) & $i(e0) & $i(e1) & ? [v0: $i] : ? [v1: $i] : ? % 22.83/3.89 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 22.83/3.89 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 22.83/3.89 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 22.83/3.89 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 22.83/3.89 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 22.83/3.89 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 22.83/3.89 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? % 22.83/3.89 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? % 22.83/3.89 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? % 22.83/3.89 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? % 22.83/3.89 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? % 22.83/3.89 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? % 22.83/3.89 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? % 22.83/3.89 [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? % 22.83/3.89 [v73: $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? % 22.83/3.89 [v78: $i] : ? [v79: $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? % 22.83/3.89 [v83: $i] : ? [v84: $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? % 22.83/3.89 [v88: $i] : ? [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? % 22.83/3.89 [v93: $i] : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? % 22.83/3.89 [v98: $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ? % 22.83/3.89 [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] : % 22.83/3.89 ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : % 22.83/3.89 ? [v113: $i] : ? [v114: $i] : ? [v115: $i] : ? [v116: $i] : ? [v117: $i] % 22.83/3.89 : ? [v118: $i] : ? [v119: $i] : ? [v120: $i] : ? [v121: $i] : ? [v122: % 22.83/3.89 $i] : ? [v123: $i] : ? [v124: $i] : ? [v125: $i] : ? [v126: $i] : ? % 22.83/3.89 [v127: $i] : ? [v128: $i] : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : % 22.83/3.89 ? [v132: $i] : ? [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : % 22.83/3.89 ? [v137: $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 22.83/3.89 : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? [v146: % 22.83/3.89 $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: $i] : ? % 22.83/3.89 [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] : ? [v155: $i] : % 22.83/3.89 ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? [v159: $i] : ? [v160: $i] : % 22.83/3.89 ? [v161: $i] : ? [v162: $i] : ? [v163: $i] : (( ~ (v163 = unit) & inv(e3) = % 22.83/3.89 v161 & op(v161, e3) = v163 & $i(v163) & $i(v161)) | ( ~ (v162 = unit) & % 22.83/3.89 inv(e3) = v161 & op(e3, v161) = v162 & $i(v162) & $i(v161)) | ( ~ (v161 = % 22.83/3.89 e3) & ~ (v161 = e2) & ~ (v161 = e0) & ~ (v161 = e1) & inv(e3) = v161 % 22.83/3.89 & $i(v161)) | ( ~ (v160 = unit) & inv(e2) = v158 & op(v158, e2) = v160 & % 22.83/3.89 $i(v160) & $i(v158)) | ( ~ (v159 = unit) & inv(e2) = v158 & op(e2, v158) = % 22.83/3.89 v159 & $i(v159) & $i(v158)) | ( ~ (v158 = e3) & ~ (v158 = e2) & ~ (v158 % 22.83/3.89 = e0) & ~ (v158 = e1) & inv(e2) = v158 & $i(v158)) | ( ~ (v157 = unit) % 22.83/3.89 & inv(e1) = v155 & op(v155, e1) = v157 & $i(v157) & $i(v155)) | ( ~ (v156 % 22.83/3.89 = unit) & inv(e1) = v155 & op(e1, v155) = v156 & $i(v156) & $i(v155)) | % 22.83/3.89 ( ~ (v155 = e3) & ~ (v155 = e2) & ~ (v155 = e0) & ~ (v155 = e1) & inv(e1) % 22.83/3.89 = v155 & $i(v155)) | ( ~ (v154 = unit) & inv(e0) = v152 & op(v152, e0) = % 22.83/3.89 v154 & $i(v154) & $i(v152)) | ( ~ (v153 = unit) & inv(e0) = v152 & op(e0, % 22.83/3.89 v152) = v153 & $i(v153) & $i(v152)) | ( ~ (v152 = e3) & ~ (v152 = e2) & % 22.83/3.89 ~ (v152 = e0) & ~ (v152 = e1) & inv(e0) = v152 & $i(v152)) | ( ~ (v151 = % 22.83/3.90 e3) & op(e3, unit) = v151 & $i(v151)) | ( ~ (v150 = e3) & op(unit, e3) = % 22.83/3.90 v150 & $i(v150)) | ( ~ (v149 = e2) & op(e2, unit) = v149 & $i(v149)) | ( ~ % 22.83/3.90 (v148 = e2) & op(unit, e2) = v148 & $i(v148)) | ( ~ (v147 = e1) & op(e1, % 22.83/3.90 unit) = v147 & $i(v147)) | ( ~ (v146 = e1) & op(unit, e1) = v146 & % 22.83/3.90 $i(v146)) | ( ~ (v145 = e0) & op(e0, unit) = v145 & $i(v145)) | ( ~ (v144 % 22.83/3.90 = e0) & op(unit, e0) = v144 & $i(v144)) | ( ~ (v143 = v142) & op(v3, e3) % 22.83/3.90 = v142 & op(e3, v3) = v143 & op(e3, e3) = v3 & $i(v143) & $i(v142) & % 22.83/3.90 $i(v3)) | ( ~ (v141 = v140) & op(v3, e2) = v140 & op(e3, v15) = v141 & % 22.83/3.90 op(e3, e3) = v3 & op(e3, e2) = v15 & $i(v141) & $i(v140) & $i(v15) & % 22.83/3.90 $i(v3)) | ( ~ (v139 = v138) & op(v3, e1) = v138 & op(e3, v14) = v139 & % 22.83/3.90 op(e3, e3) = v3 & op(e3, e1) = v14 & $i(v139) & $i(v138) & $i(v14) & % 22.83/3.90 $i(v3)) | ( ~ (v137 = v136) & op(v3, e0) = v136 & op(e3, v13) = v137 & % 22.83/3.90 op(e3, e3) = v3 & op(e3, e0) = v13 & $i(v137) & $i(v136) & $i(v13) & % 22.83/3.90 $i(v3)) | ( ~ (v135 = v134) & op(v15, e3) = v134 & op(e3, v12) = v135 & % 22.83/3.90 op(e3, e2) = v15 & op(e2, e3) = v12 & $i(v135) & $i(v134) & $i(v15) & % 22.83/3.90 $i(v12)) | ( ~ (v133 = v132) & op(v15, e2) = v132 & op(e3, v2) = v133 & % 22.83/3.90 op(e3, e2) = v15 & op(e2, e2) = v2 & $i(v133) & $i(v132) & $i(v15) & % 22.83/3.90 $i(v2)) | ( ~ (v131 = v130) & op(v15, e1) = v130 & op(e3, v11) = v131 & % 22.83/3.90 op(e3, e2) = v15 & op(e2, e1) = v11 & $i(v131) & $i(v130) & $i(v15) & % 22.83/3.90 $i(v11)) | ( ~ (v129 = v128) & op(v15, e0) = v128 & op(e3, v10) = v129 & % 22.83/3.90 op(e3, e2) = v15 & op(e2, e0) = v10 & $i(v129) & $i(v128) & $i(v15) & % 22.83/3.90 $i(v10)) | ( ~ (v127 = v126) & op(v14, e3) = v126 & op(e3, v9) = v127 & % 22.83/3.90 op(e3, e1) = v14 & op(e1, e3) = v9 & $i(v127) & $i(v126) & $i(v14) & % 22.83/3.90 $i(v9)) | ( ~ (v125 = v124) & op(v14, e2) = v124 & op(e3, v8) = v125 & % 22.83/3.90 op(e3, e1) = v14 & op(e1, e2) = v8 & $i(v125) & $i(v124) & $i(v14) & % 22.83/3.90 $i(v8)) | ( ~ (v123 = v122) & op(v14, e1) = v122 & op(e3, v1) = v123 & % 22.83/3.90 op(e3, e1) = v14 & op(e1, e1) = v1 & $i(v123) & $i(v122) & $i(v14) & % 22.83/3.90 $i(v1)) | ( ~ (v121 = v120) & op(v14, e0) = v120 & op(e3, v7) = v121 & % 22.83/3.90 op(e3, e1) = v14 & op(e1, e0) = v7 & $i(v121) & $i(v120) & $i(v14) & % 22.83/3.90 $i(v7)) | ( ~ (v119 = v118) & op(v13, e3) = v118 & op(e3, v6) = v119 & % 22.83/3.90 op(e3, e0) = v13 & op(e0, e3) = v6 & $i(v119) & $i(v118) & $i(v13) & % 22.83/3.90 $i(v6)) | ( ~ (v117 = v116) & op(v13, e2) = v116 & op(e3, v5) = v117 & % 22.83/3.90 op(e3, e0) = v13 & op(e0, e2) = v5 & $i(v117) & $i(v116) & $i(v13) & % 22.83/3.90 $i(v5)) | ( ~ (v115 = v114) & op(v13, e1) = v114 & op(e3, v4) = v115 & % 22.83/3.90 op(e3, e0) = v13 & op(e0, e1) = v4 & $i(v115) & $i(v114) & $i(v13) & % 22.83/3.90 $i(v4)) | ( ~ (v113 = v112) & op(v13, e0) = v112 & op(e3, v0) = v113 & % 22.83/3.90 op(e3, e0) = v13 & op(e0, e0) = v0 & $i(v113) & $i(v112) & $i(v13) & % 22.83/3.90 $i(v0)) | ( ~ (v111 = v110) & op(v12, e3) = v110 & op(e3, e3) = v3 & % 22.83/3.90 op(e2, v3) = v111 & op(e2, e3) = v12 & $i(v111) & $i(v110) & $i(v12) & % 22.83/3.90 $i(v3)) | ( ~ (v109 = v108) & op(v12, e2) = v108 & op(e3, e2) = v15 & % 22.83/3.90 op(e2, v15) = v109 & op(e2, e3) = v12 & $i(v109) & $i(v108) & $i(v15) & % 22.83/3.90 $i(v12)) | ( ~ (v107 = v106) & op(v12, e1) = v106 & op(e3, e1) = v14 & % 22.83/3.90 op(e2, v14) = v107 & op(e2, e3) = v12 & $i(v107) & $i(v106) & $i(v14) & % 22.83/3.90 $i(v12)) | ( ~ (v105 = v104) & op(v12, e0) = v104 & op(e3, e0) = v13 & % 22.83/3.90 op(e2, v13) = v105 & op(e2, e3) = v12 & $i(v105) & $i(v104) & $i(v13) & % 22.83/3.90 $i(v12)) | ( ~ (v103 = v102) & op(v2, e3) = v102 & op(e2, v12) = v103 & % 22.83/3.90 op(e2, e3) = v12 & op(e2, e2) = v2 & $i(v103) & $i(v102) & $i(v12) & % 22.83/3.90 $i(v2)) | ( ~ (v101 = v100) & op(v2, e2) = v100 & op(e2, v2) = v101 & % 22.83/3.90 op(e2, e2) = v2 & $i(v101) & $i(v100) & $i(v2)) | ( ~ (v99 = v98) & op(v2, % 22.83/3.90 e1) = v98 & op(e2, v11) = v99 & op(e2, e2) = v2 & op(e2, e1) = v11 & % 22.83/3.90 $i(v99) & $i(v98) & $i(v11) & $i(v2)) | ( ~ (v97 = v96) & op(v2, e0) = v96 % 22.83/3.90 & op(e2, v10) = v97 & op(e2, e2) = v2 & op(e2, e0) = v10 & $i(v97) & % 22.83/3.90 $i(v96) & $i(v10) & $i(v2)) | ( ~ (v95 = v94) & op(v11, e3) = v94 & op(e2, % 22.83/3.90 v9) = v95 & op(e2, e1) = v11 & op(e1, e3) = v9 & $i(v95) & $i(v94) & % 22.83/3.90 $i(v11) & $i(v9)) | ( ~ (v93 = v92) & op(v11, e2) = v92 & op(e2, v8) = v93 % 22.83/3.90 & op(e2, e1) = v11 & op(e1, e2) = v8 & $i(v93) & $i(v92) & $i(v11) & % 22.83/3.90 $i(v8)) | ( ~ (v91 = v90) & op(v11, e1) = v90 & op(e2, v1) = v91 & op(e2, % 22.83/3.90 e1) = v11 & op(e1, e1) = v1 & $i(v91) & $i(v90) & $i(v11) & $i(v1)) | ( % 22.83/3.90 ~ (v89 = v88) & op(v11, e0) = v88 & op(e2, v7) = v89 & op(e2, e1) = v11 & % 22.83/3.90 op(e1, e0) = v7 & $i(v89) & $i(v88) & $i(v11) & $i(v7)) | ( ~ (v87 = v86) % 22.83/3.90 & op(v10, e3) = v86 & op(e2, v6) = v87 & op(e2, e0) = v10 & op(e0, e3) = % 22.83/3.90 v6 & $i(v87) & $i(v86) & $i(v10) & $i(v6)) | ( ~ (v85 = v84) & op(v10, e2) % 22.83/3.90 = v84 & op(e2, v5) = v85 & op(e2, e0) = v10 & op(e0, e2) = v5 & $i(v85) & % 22.83/3.90 $i(v84) & $i(v10) & $i(v5)) | ( ~ (v83 = v82) & op(v10, e1) = v82 & op(e2, % 22.83/3.90 v4) = v83 & op(e2, e0) = v10 & op(e0, e1) = v4 & $i(v83) & $i(v82) & % 22.83/3.90 $i(v10) & $i(v4)) | ( ~ (v81 = v80) & op(v10, e0) = v80 & op(e2, v0) = v81 % 22.83/3.90 & op(e2, e0) = v10 & op(e0, e0) = v0 & $i(v81) & $i(v80) & $i(v10) & % 22.83/3.90 $i(v0)) | ( ~ (v79 = v78) & op(v9, e3) = v78 & op(e3, e3) = v3 & op(e1, % 22.83/3.90 v3) = v79 & op(e1, e3) = v9 & $i(v79) & $i(v78) & $i(v9) & $i(v3)) | ( ~ % 22.83/3.90 (v77 = v76) & op(v9, e2) = v76 & op(e3, e2) = v15 & op(e1, v15) = v77 & % 22.83/3.90 op(e1, e3) = v9 & $i(v77) & $i(v76) & $i(v15) & $i(v9)) | ( ~ (v75 = v74) % 22.83/3.90 & op(v9, e1) = v74 & op(e3, e1) = v14 & op(e1, v14) = v75 & op(e1, e3) = % 22.83/3.90 v9 & $i(v75) & $i(v74) & $i(v14) & $i(v9)) | ( ~ (v73 = v72) & op(v9, e0) % 22.83/3.90 = v72 & op(e3, e0) = v13 & op(e1, v13) = v73 & op(e1, e3) = v9 & $i(v73) & % 22.83/3.90 $i(v72) & $i(v13) & $i(v9)) | ( ~ (v71 = v70) & op(v8, e3) = v70 & op(e2, % 22.83/3.90 e3) = v12 & op(e1, v12) = v71 & op(e1, e2) = v8 & $i(v71) & $i(v70) & % 22.83/3.90 $i(v12) & $i(v8)) | ( ~ (v69 = v68) & op(v8, e2) = v68 & op(e2, e2) = v2 & % 22.83/3.90 op(e1, v2) = v69 & op(e1, e2) = v8 & $i(v69) & $i(v68) & $i(v8) & $i(v2)) % 22.83/3.90 | ( ~ (v67 = v66) & op(v8, e1) = v66 & op(e2, e1) = v11 & op(e1, v11) = v67 % 22.83/3.90 & op(e1, e2) = v8 & $i(v67) & $i(v66) & $i(v11) & $i(v8)) | ( ~ (v65 = % 22.83/3.90 v64) & op(v8, e0) = v64 & op(e2, e0) = v10 & op(e1, v10) = v65 & op(e1, % 22.83/3.90 e2) = v8 & $i(v65) & $i(v64) & $i(v10) & $i(v8)) | ( ~ (v63 = v62) & % 22.83/3.90 op(v1, e3) = v62 & op(e1, v9) = v63 & op(e1, e3) = v9 & op(e1, e1) = v1 & % 22.83/3.90 $i(v63) & $i(v62) & $i(v9) & $i(v1)) | ( ~ (v61 = v60) & op(v1, e2) = v60 % 22.83/3.90 & op(e1, v8) = v61 & op(e1, e2) = v8 & op(e1, e1) = v1 & $i(v61) & $i(v60) % 22.83/3.90 & $i(v8) & $i(v1)) | ( ~ (v59 = v58) & op(v1, e1) = v58 & op(e1, v1) = v59 % 22.83/3.90 & op(e1, e1) = v1 & $i(v59) & $i(v58) & $i(v1)) | ( ~ (v57 = v56) & op(v1, % 22.83/3.90 e0) = v56 & op(e1, v7) = v57 & op(e1, e0) = v7 & op(e1, e1) = v1 & % 22.83/3.90 $i(v57) & $i(v56) & $i(v7) & $i(v1)) | ( ~ (v55 = v54) & op(v7, e3) = v54 % 22.83/3.90 & op(e0, e3) = v6 & op(e1, v6) = v55 & op(e1, e0) = v7 & $i(v55) & $i(v54) % 22.83/3.90 & $i(v7) & $i(v6)) | ( ~ (v53 = v52) & op(v7, e2) = v52 & op(e0, e2) = v5 % 22.83/3.90 & op(e1, v5) = v53 & op(e1, e0) = v7 & $i(v53) & $i(v52) & $i(v7) & % 22.83/3.90 $i(v5)) | ( ~ (v51 = v50) & op(v7, e1) = v50 & op(e0, e1) = v4 & op(e1, % 22.83/3.90 v4) = v51 & op(e1, e0) = v7 & $i(v51) & $i(v50) & $i(v7) & $i(v4)) | ( ~ % 22.83/3.90 (v49 = v48) & op(v7, e0) = v48 & op(e0, e0) = v0 & op(e1, v0) = v49 & % 22.83/3.90 op(e1, e0) = v7 & $i(v49) & $i(v48) & $i(v7) & $i(v0)) | ( ~ (v47 = v46) & % 22.83/3.90 op(v6, e3) = v46 & op(e3, e3) = v3 & op(e0, v3) = v47 & op(e0, e3) = v6 & % 22.83/3.90 $i(v47) & $i(v46) & $i(v6) & $i(v3)) | ( ~ (v45 = v44) & op(v6, e2) = v44 % 22.83/3.90 & op(e3, e2) = v15 & op(e0, v15) = v45 & op(e0, e3) = v6 & $i(v45) & % 22.83/3.90 $i(v44) & $i(v15) & $i(v6)) | ( ~ (v43 = v42) & op(v6, e1) = v42 & op(e3, % 22.83/3.90 e1) = v14 & op(e0, v14) = v43 & op(e0, e3) = v6 & $i(v43) & $i(v42) & % 22.83/3.90 $i(v14) & $i(v6)) | ( ~ (v41 = v40) & op(v6, e0) = v40 & op(e3, e0) = v13 % 22.83/3.90 & op(e0, v13) = v41 & op(e0, e3) = v6 & $i(v41) & $i(v40) & $i(v13) & % 22.83/3.90 $i(v6)) | ( ~ (v39 = v38) & op(v5, e3) = v38 & op(e2, e3) = v12 & op(e0, % 22.83/3.90 v12) = v39 & op(e0, e2) = v5 & $i(v39) & $i(v38) & $i(v12) & $i(v5)) | ( % 22.83/3.90 ~ (v37 = v36) & op(v5, e2) = v36 & op(e2, e2) = v2 & op(e0, v2) = v37 & % 22.83/3.90 op(e0, e2) = v5 & $i(v37) & $i(v36) & $i(v5) & $i(v2)) | ( ~ (v35 = v34) & % 22.83/3.90 op(v5, e1) = v34 & op(e2, e1) = v11 & op(e0, v11) = v35 & op(e0, e2) = v5 % 22.83/3.90 & $i(v35) & $i(v34) & $i(v11) & $i(v5)) | ( ~ (v33 = v32) & op(v5, e0) = % 22.83/3.90 v32 & op(e2, e0) = v10 & op(e0, v10) = v33 & op(e0, e2) = v5 & $i(v33) & % 22.83/3.90 $i(v32) & $i(v10) & $i(v5)) | ( ~ (v31 = v30) & op(v4, e3) = v30 & op(e0, % 22.83/3.90 v9) = v31 & op(e0, e1) = v4 & op(e1, e3) = v9 & $i(v31) & $i(v30) & % 22.83/3.90 $i(v9) & $i(v4)) | ( ~ (v29 = v28) & op(v4, e2) = v28 & op(e0, v8) = v29 & % 22.83/3.90 op(e0, e1) = v4 & op(e1, e2) = v8 & $i(v29) & $i(v28) & $i(v8) & $i(v4)) | % 22.83/3.90 ( ~ (v27 = v26) & op(v4, e1) = v26 & op(e0, v1) = v27 & op(e0, e1) = v4 & % 22.83/3.90 op(e1, e1) = v1 & $i(v27) & $i(v26) & $i(v4) & $i(v1)) | ( ~ (v25 = v24) & % 22.83/3.90 op(v4, e0) = v24 & op(e0, v7) = v25 & op(e0, e1) = v4 & op(e1, e0) = v7 & % 22.83/3.90 $i(v25) & $i(v24) & $i(v7) & $i(v4)) | ( ~ (v23 = v22) & op(v0, e3) = v22 % 22.83/3.90 & op(e0, v6) = v23 & op(e0, e3) = v6 & op(e0, e0) = v0 & $i(v23) & $i(v22) % 22.83/3.90 & $i(v6) & $i(v0)) | ( ~ (v21 = v20) & op(v0, e2) = v20 & op(e0, v5) = v21 % 22.83/3.90 & op(e0, e2) = v5 & op(e0, e0) = v0 & $i(v21) & $i(v20) & $i(v5) & $i(v0)) % 22.83/3.90 | ( ~ (v19 = v18) & op(v0, e1) = v18 & op(e0, v4) = v19 & op(e0, e0) = v0 & % 22.83/3.90 op(e0, e1) = v4 & $i(v19) & $i(v18) & $i(v4) & $i(v0)) | ( ~ (v17 = v16) & % 22.83/3.90 op(v0, e0) = v16 & op(e0, v0) = v17 & op(e0, e0) = v0 & $i(v17) & $i(v16) % 22.83/3.90 & $i(v0)) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ (v15 = e0) & ~ (v15 = e1) % 22.83/3.90 & op(e3, e2) = v15 & $i(v15)) | ( ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 = % 22.83/3.90 e0) & ~ (v14 = e1) & op(e3, e1) = v14 & $i(v14)) | ( ~ (v13 = e3) & ~ % 22.83/3.90 (v13 = e2) & ~ (v13 = e0) & ~ (v13 = e1) & op(e3, e0) = v13 & $i(v13)) | % 22.83/3.90 ( ~ (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ (v12 = e1) & op(e2, e3) % 22.83/3.90 = v12 & $i(v12)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~ (v11 = e0) & ~ % 22.83/3.90 (v11 = e1) & op(e2, e1) = v11 & $i(v11)) | ( ~ (v10 = e3) & ~ (v10 = e2) % 22.83/3.90 & ~ (v10 = e0) & ~ (v10 = e1) & op(e2, e0) = v10 & $i(v10)) | ( ~ (v9 = % 22.83/3.90 e3) & ~ (v9 = e2) & ~ (v9 = e0) & ~ (v9 = e1) & op(e1, e3) = v9 & % 22.83/3.90 $i(v9)) | ( ~ (v8 = e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ (v8 = e1) & % 22.83/3.90 op(e1, e2) = v8 & $i(v8)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e0) & % 22.83/3.90 ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7)) | ( ~ (v6 = e3) & ~ (v6 = e2) & % 22.83/3.90 ~ (v6 = e0) & ~ (v6 = e1) & op(e0, e3) = v6 & $i(v6)) | ( ~ (v5 = e3) & % 22.83/3.90 ~ (v5 = e2) & ~ (v5 = e0) & ~ (v5 = e1) & op(e0, e2) = v5 & $i(v5)) | ( % 22.83/3.90 ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = e0) & ~ (v4 = e1) & op(e0, e1) = v4 % 22.83/3.90 & $i(v4)) | ( ~ (v3 = e3) & ~ (v3 = e2) & ~ (v3 = e0) & ~ (v3 = e1) & % 22.83/3.90 op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) & % 22.83/3.90 ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & ~ (v1 = e2) & % 22.83/3.90 ~ (v1 = e0) & ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e3) & % 22.83/3.90 ~ (v0 = e2) & ~ (v0 = e0) & ~ (v0 = e1) & op(e0, e0) = v0 & $i(v0)) | ( % 22.83/3.90 ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | ((( ~ % 22.83/3.90 (v3 = e3) & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e3) & op(e2, e2) = % 22.83/3.90 v2 & $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = % 22.83/3.90 e3) & op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e2) & op(e3, e3) = v3 % 22.83/3.90 & $i(v3)) | ( ~ (v2 = e2) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e2) % 22.83/3.90 & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e2) & op(e0, e0) = v0 & % 22.83/3.90 $i(v0))) & (( ~ (v3 = e0) & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e0) % 22.83/3.90 & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e0) & op(e1, e1) = v1 & % 22.83/3.90 $i(v1)) | ( ~ (v0 = e0) & op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e1) % 22.83/3.90 & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e1) & op(e2, e2) = v2 & % 22.83/3.90 $i(v2)) | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e1) & % 22.83/3.90 op(e0, e0) = v0 & $i(v0))))) % 22.83/3.90 % 22.83/3.90 (function-axioms) % 22.83/3.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 22.83/3.90 v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 22.83/3.90 $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) % 22.83/3.90 % 22.83/3.90 Further assumptions not needed in the proof: % 22.83/3.90 -------------------------------------------- % 22.83/3.90 ax1 % 22.83/3.90 % 22.83/3.90 Those formulas are unsatisfiable: % 22.83/3.90 --------------------------------- % 22.83/3.90 % 22.83/3.90 Begin of proof % 22.83/3.90 | % 22.83/3.91 | ALPHA: (ax2) implies: % 22.83/3.91 | (1) op(e1, e1) = e0 % 22.83/3.91 | (2) op(e1, e0) = e1 % 22.83/3.91 | (3) op(e1, e2) = e3 % 22.83/3.91 | (4) op(e1, e3) = e2 % 22.83/3.91 | (5) op(e0, e1) = e1 % 22.83/3.91 | (6) op(e0, e0) = e0 % 22.83/3.91 | (7) op(e0, e2) = e2 % 22.83/3.91 | (8) op(e0, e3) = e3 % 22.83/3.91 | (9) op(e2, e1) = e3 % 22.83/3.91 | (10) op(e2, e0) = e2 % 22.83/3.91 | (11) op(e2, e2) = e0 % 22.83/3.91 | (12) op(e2, e3) = e1 % 22.83/3.91 | (13) op(e3, e1) = e2 % 22.83/3.91 | (14) op(e3, e0) = e3 % 22.83/3.91 | (15) op(e3, e2) = e1 % 22.83/3.91 | (16) op(e3, e3) = e0 % 22.83/3.91 | % 22.83/3.91 | ALPHA: (ax3) implies: % 22.83/3.91 | (17) unit = e0 % 22.83/3.91 | % 22.83/3.91 | ALPHA: (ax4) implies: % 22.83/3.91 | (18) inv(e1) = e1 % 22.83/3.91 | (19) inv(e0) = e0 % 22.83/3.91 | (20) inv(e2) = e2 % 22.83/3.91 | (21) inv(e3) = e3 % 22.83/3.91 | % 22.83/3.91 | ALPHA: (co1) implies: % 23.23/3.93 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 23.23/3.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 23.23/3.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 23.23/3.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 23.23/3.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 23.23/3.93 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 23.23/3.93 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 23.23/3.93 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 23.23/3.93 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 23.23/3.93 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 23.23/3.93 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 23.23/3.93 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 23.23/3.93 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 23.23/3.93 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 23.23/3.93 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 23.23/3.93 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 23.23/3.93 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 23.23/3.93 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 23.23/3.93 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 23.23/3.93 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 23.23/3.93 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 23.23/3.93 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 23.23/3.93 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 23.23/3.93 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: % 23.23/3.93 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] % 23.23/3.93 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? % 23.23/3.93 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 23.23/3.93 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] % 23.23/3.93 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? % 23.23/3.93 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: % 23.23/3.93 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 23.23/3.93 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? % 23.23/3.93 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: % 23.23/3.93 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] % 23.23/3.93 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? % 23.23/3.93 | [v159: $i] : ? [v160: $i] : ? [v161: $i] : ? [v162: $i] : ? [v163: % 23.23/3.93 | $i] : (( ~ (v163 = unit) & inv(e3) = v161 & op(v161, e3) = v163 & % 23.23/3.93 | $i(v163) & $i(v161)) | ( ~ (v162 = unit) & inv(e3) = v161 & op(e3, % 23.23/3.93 | v161) = v162 & $i(v162) & $i(v161)) | ( ~ (v161 = e3) & ~ (v161 % 23.23/3.93 | = e2) & ~ (v161 = e0) & ~ (v161 = e1) & inv(e3) = v161 & % 23.23/3.93 | $i(v161)) | ( ~ (v160 = unit) & inv(e2) = v158 & op(v158, e2) = % 23.23/3.93 | v160 & $i(v160) & $i(v158)) | ( ~ (v159 = unit) & inv(e2) = v158 & % 23.23/3.93 | op(e2, v158) = v159 & $i(v159) & $i(v158)) | ( ~ (v158 = e3) & ~ % 23.23/3.93 | (v158 = e2) & ~ (v158 = e0) & ~ (v158 = e1) & inv(e2) = v158 & % 23.23/3.93 | $i(v158)) | ( ~ (v157 = unit) & inv(e1) = v155 & op(v155, e1) = % 23.23/3.93 | v157 & $i(v157) & $i(v155)) | ( ~ (v156 = unit) & inv(e1) = v155 & % 23.23/3.93 | op(e1, v155) = v156 & $i(v156) & $i(v155)) | ( ~ (v155 = e3) & ~ % 23.23/3.93 | (v155 = e2) & ~ (v155 = e0) & ~ (v155 = e1) & inv(e1) = v155 & % 23.23/3.93 | $i(v155)) | ( ~ (v154 = unit) & inv(e0) = v152 & op(v152, e0) = % 23.23/3.93 | v154 & $i(v154) & $i(v152)) | ( ~ (v153 = unit) & inv(e0) = v152 & % 23.23/3.93 | op(e0, v152) = v153 & $i(v153) & $i(v152)) | ( ~ (v152 = e3) & ~ % 23.23/3.93 | (v152 = e2) & ~ (v152 = e0) & ~ (v152 = e1) & inv(e0) = v152 & % 23.23/3.93 | $i(v152)) | ( ~ (v151 = e3) & op(e3, unit) = v151 & $i(v151)) | ( % 23.23/3.93 | ~ (v150 = e3) & op(unit, e3) = v150 & $i(v150)) | ( ~ (v149 = e2) % 23.23/3.93 | & op(e2, unit) = v149 & $i(v149)) | ( ~ (v148 = e2) & op(unit, e2) % 23.23/3.93 | = v148 & $i(v148)) | ( ~ (v147 = e1) & op(e1, unit) = v147 & % 23.23/3.93 | $i(v147)) | ( ~ (v146 = e1) & op(unit, e1) = v146 & $i(v146)) | ( % 23.23/3.93 | ~ (v145 = e0) & op(e0, unit) = v145 & $i(v145)) | ( ~ (v144 = e0) % 23.23/3.93 | & op(unit, e0) = v144 & $i(v144)) | ( ~ (v143 = v142) & op(v3, e3) % 23.23/3.93 | = v142 & op(e3, v3) = v143 & op(e3, e3) = v3 & $i(v143) & $i(v142) % 23.23/3.93 | & $i(v3)) | ( ~ (v141 = v140) & op(v3, e2) = v140 & op(e3, v15) = % 23.23/3.93 | v141 & op(e3, e3) = v3 & op(e3, e2) = v15 & $i(v141) & $i(v140) & % 23.23/3.93 | $i(v15) & $i(v3)) | ( ~ (v139 = v138) & op(v3, e1) = v138 & op(e3, % 23.23/3.93 | v14) = v139 & op(e3, e3) = v3 & op(e3, e1) = v14 & $i(v139) & % 23.23/3.93 | $i(v138) & $i(v14) & $i(v3)) | ( ~ (v137 = v136) & op(v3, e0) = % 23.23/3.93 | v136 & op(e3, v13) = v137 & op(e3, e3) = v3 & op(e3, e0) = v13 & % 23.23/3.93 | $i(v137) & $i(v136) & $i(v13) & $i(v3)) | ( ~ (v135 = v134) & % 23.23/3.93 | op(v15, e3) = v134 & op(e3, v12) = v135 & op(e3, e2) = v15 & % 23.23/3.93 | op(e2, e3) = v12 & $i(v135) & $i(v134) & $i(v15) & $i(v12)) | ( ~ % 23.23/3.93 | (v133 = v132) & op(v15, e2) = v132 & op(e3, v2) = v133 & op(e3, % 23.23/3.93 | e2) = v15 & op(e2, e2) = v2 & $i(v133) & $i(v132) & $i(v15) & % 23.23/3.93 | $i(v2)) | ( ~ (v131 = v130) & op(v15, e1) = v130 & op(e3, v11) = % 23.23/3.93 | v131 & op(e3, e2) = v15 & op(e2, e1) = v11 & $i(v131) & $i(v130) & % 23.23/3.93 | $i(v15) & $i(v11)) | ( ~ (v129 = v128) & op(v15, e0) = v128 & % 23.23/3.93 | op(e3, v10) = v129 & op(e3, e2) = v15 & op(e2, e0) = v10 & % 23.23/3.93 | $i(v129) & $i(v128) & $i(v15) & $i(v10)) | ( ~ (v127 = v126) & % 23.23/3.93 | op(v14, e3) = v126 & op(e3, v9) = v127 & op(e3, e1) = v14 & op(e1, % 23.23/3.93 | e3) = v9 & $i(v127) & $i(v126) & $i(v14) & $i(v9)) | ( ~ (v125 = % 23.23/3.93 | v124) & op(v14, e2) = v124 & op(e3, v8) = v125 & op(e3, e1) = % 23.23/3.93 | v14 & op(e1, e2) = v8 & $i(v125) & $i(v124) & $i(v14) & $i(v8)) | % 23.23/3.93 | ( ~ (v123 = v122) & op(v14, e1) = v122 & op(e3, v1) = v123 & op(e3, % 23.23/3.93 | e1) = v14 & op(e1, e1) = v1 & $i(v123) & $i(v122) & $i(v14) & % 23.23/3.93 | $i(v1)) | ( ~ (v121 = v120) & op(v14, e0) = v120 & op(e3, v7) = % 23.23/3.93 | v121 & op(e3, e1) = v14 & op(e1, e0) = v7 & $i(v121) & $i(v120) & % 23.23/3.93 | $i(v14) & $i(v7)) | ( ~ (v119 = v118) & op(v13, e3) = v118 & % 23.23/3.93 | op(e3, v6) = v119 & op(e3, e0) = v13 & op(e0, e3) = v6 & $i(v119) % 23.23/3.93 | & $i(v118) & $i(v13) & $i(v6)) | ( ~ (v117 = v116) & op(v13, e2) = % 23.23/3.93 | v116 & op(e3, v5) = v117 & op(e3, e0) = v13 & op(e0, e2) = v5 & % 23.23/3.93 | $i(v117) & $i(v116) & $i(v13) & $i(v5)) | ( ~ (v115 = v114) & % 23.23/3.93 | op(v13, e1) = v114 & op(e3, v4) = v115 & op(e3, e0) = v13 & op(e0, % 23.23/3.93 | e1) = v4 & $i(v115) & $i(v114) & $i(v13) & $i(v4)) | ( ~ (v113 = % 23.23/3.93 | v112) & op(v13, e0) = v112 & op(e3, v0) = v113 & op(e3, e0) = % 23.23/3.93 | v13 & op(e0, e0) = v0 & $i(v113) & $i(v112) & $i(v13) & $i(v0)) | % 23.23/3.93 | ( ~ (v111 = v110) & op(v12, e3) = v110 & op(e3, e3) = v3 & op(e2, % 23.23/3.93 | v3) = v111 & op(e2, e3) = v12 & $i(v111) & $i(v110) & $i(v12) & % 23.23/3.93 | $i(v3)) | ( ~ (v109 = v108) & op(v12, e2) = v108 & op(e3, e2) = % 23.23/3.93 | v15 & op(e2, v15) = v109 & op(e2, e3) = v12 & $i(v109) & $i(v108) % 23.23/3.93 | & $i(v15) & $i(v12)) | ( ~ (v107 = v106) & op(v12, e1) = v106 & % 23.23/3.93 | op(e3, e1) = v14 & op(e2, v14) = v107 & op(e2, e3) = v12 & % 23.23/3.93 | $i(v107) & $i(v106) & $i(v14) & $i(v12)) | ( ~ (v105 = v104) & % 23.23/3.93 | op(v12, e0) = v104 & op(e3, e0) = v13 & op(e2, v13) = v105 & % 23.23/3.93 | op(e2, e3) = v12 & $i(v105) & $i(v104) & $i(v13) & $i(v12)) | ( ~ % 23.23/3.93 | (v103 = v102) & op(v2, e3) = v102 & op(e2, v12) = v103 & op(e2, % 23.23/3.93 | e3) = v12 & op(e2, e2) = v2 & $i(v103) & $i(v102) & $i(v12) & % 23.23/3.93 | $i(v2)) | ( ~ (v101 = v100) & op(v2, e2) = v100 & op(e2, v2) = % 23.23/3.93 | v101 & op(e2, e2) = v2 & $i(v101) & $i(v100) & $i(v2)) | ( ~ (v99 % 23.23/3.93 | = v98) & op(v2, e1) = v98 & op(e2, v11) = v99 & op(e2, e2) = v2 % 23.23/3.93 | & op(e2, e1) = v11 & $i(v99) & $i(v98) & $i(v11) & $i(v2)) | ( ~ % 23.23/3.93 | (v97 = v96) & op(v2, e0) = v96 & op(e2, v10) = v97 & op(e2, e2) = % 23.23/3.93 | v2 & op(e2, e0) = v10 & $i(v97) & $i(v96) & $i(v10) & $i(v2)) | ( % 23.23/3.93 | ~ (v95 = v94) & op(v11, e3) = v94 & op(e2, v9) = v95 & op(e2, e1) % 23.23/3.93 | = v11 & op(e1, e3) = v9 & $i(v95) & $i(v94) & $i(v11) & $i(v9)) | % 23.23/3.93 | ( ~ (v93 = v92) & op(v11, e2) = v92 & op(e2, v8) = v93 & op(e2, e1) % 23.23/3.93 | = v11 & op(e1, e2) = v8 & $i(v93) & $i(v92) & $i(v11) & $i(v8)) | % 23.23/3.93 | ( ~ (v91 = v90) & op(v11, e1) = v90 & op(e2, v1) = v91 & op(e2, e1) % 23.23/3.93 | = v11 & op(e1, e1) = v1 & $i(v91) & $i(v90) & $i(v11) & $i(v1)) | % 23.23/3.93 | ( ~ (v89 = v88) & op(v11, e0) = v88 & op(e2, v7) = v89 & op(e2, e1) % 23.23/3.93 | = v11 & op(e1, e0) = v7 & $i(v89) & $i(v88) & $i(v11) & $i(v7)) | % 23.23/3.93 | ( ~ (v87 = v86) & op(v10, e3) = v86 & op(e2, v6) = v87 & op(e2, e0) % 23.23/3.93 | = v10 & op(e0, e3) = v6 & $i(v87) & $i(v86) & $i(v10) & $i(v6)) | % 23.23/3.93 | ( ~ (v85 = v84) & op(v10, e2) = v84 & op(e2, v5) = v85 & op(e2, e0) % 23.23/3.93 | = v10 & op(e0, e2) = v5 & $i(v85) & $i(v84) & $i(v10) & $i(v5)) | % 23.23/3.93 | ( ~ (v83 = v82) & op(v10, e1) = v82 & op(e2, v4) = v83 & op(e2, e0) % 23.23/3.93 | = v10 & op(e0, e1) = v4 & $i(v83) & $i(v82) & $i(v10) & $i(v4)) | % 23.23/3.93 | ( ~ (v81 = v80) & op(v10, e0) = v80 & op(e2, v0) = v81 & op(e2, e0) % 23.23/3.93 | = v10 & op(e0, e0) = v0 & $i(v81) & $i(v80) & $i(v10) & $i(v0)) | % 23.23/3.93 | ( ~ (v79 = v78) & op(v9, e3) = v78 & op(e3, e3) = v3 & op(e1, v3) = % 23.23/3.93 | v79 & op(e1, e3) = v9 & $i(v79) & $i(v78) & $i(v9) & $i(v3)) | ( ~ % 23.23/3.93 | (v77 = v76) & op(v9, e2) = v76 & op(e3, e2) = v15 & op(e1, v15) = % 23.23/3.93 | v77 & op(e1, e3) = v9 & $i(v77) & $i(v76) & $i(v15) & $i(v9)) | ( % 23.23/3.93 | ~ (v75 = v74) & op(v9, e1) = v74 & op(e3, e1) = v14 & op(e1, v14) % 23.23/3.93 | = v75 & op(e1, e3) = v9 & $i(v75) & $i(v74) & $i(v14) & $i(v9)) | % 23.23/3.93 | ( ~ (v73 = v72) & op(v9, e0) = v72 & op(e3, e0) = v13 & op(e1, v13) % 23.23/3.93 | = v73 & op(e1, e3) = v9 & $i(v73) & $i(v72) & $i(v13) & $i(v9)) | % 23.23/3.93 | ( ~ (v71 = v70) & op(v8, e3) = v70 & op(e2, e3) = v12 & op(e1, v12) % 23.23/3.93 | = v71 & op(e1, e2) = v8 & $i(v71) & $i(v70) & $i(v12) & $i(v8)) | % 23.23/3.93 | ( ~ (v69 = v68) & op(v8, e2) = v68 & op(e2, e2) = v2 & op(e1, v2) = % 23.23/3.93 | v69 & op(e1, e2) = v8 & $i(v69) & $i(v68) & $i(v8) & $i(v2)) | ( ~ % 23.23/3.93 | (v67 = v66) & op(v8, e1) = v66 & op(e2, e1) = v11 & op(e1, v11) = % 23.23/3.93 | v67 & op(e1, e2) = v8 & $i(v67) & $i(v66) & $i(v11) & $i(v8)) | ( % 23.23/3.93 | ~ (v65 = v64) & op(v8, e0) = v64 & op(e2, e0) = v10 & op(e1, v10) % 23.23/3.93 | = v65 & op(e1, e2) = v8 & $i(v65) & $i(v64) & $i(v10) & $i(v8)) | % 23.23/3.93 | ( ~ (v63 = v62) & op(v1, e3) = v62 & op(e1, v9) = v63 & op(e1, e3) = % 23.23/3.93 | v9 & op(e1, e1) = v1 & $i(v63) & $i(v62) & $i(v9) & $i(v1)) | ( ~ % 23.23/3.93 | (v61 = v60) & op(v1, e2) = v60 & op(e1, v8) = v61 & op(e1, e2) = % 23.23/3.93 | v8 & op(e1, e1) = v1 & $i(v61) & $i(v60) & $i(v8) & $i(v1)) | ( ~ % 23.23/3.93 | (v59 = v58) & op(v1, e1) = v58 & op(e1, v1) = v59 & op(e1, e1) = % 23.23/3.93 | v1 & $i(v59) & $i(v58) & $i(v1)) | ( ~ (v57 = v56) & op(v1, e0) = % 23.23/3.93 | v56 & op(e1, v7) = v57 & op(e1, e0) = v7 & op(e1, e1) = v1 & % 23.23/3.93 | $i(v57) & $i(v56) & $i(v7) & $i(v1)) | ( ~ (v55 = v54) & op(v7, % 23.23/3.93 | e3) = v54 & op(e0, e3) = v6 & op(e1, v6) = v55 & op(e1, e0) = v7 % 23.23/3.93 | & $i(v55) & $i(v54) & $i(v7) & $i(v6)) | ( ~ (v53 = v52) & op(v7, % 23.23/3.93 | e2) = v52 & op(e0, e2) = v5 & op(e1, v5) = v53 & op(e1, e0) = v7 % 23.23/3.93 | & $i(v53) & $i(v52) & $i(v7) & $i(v5)) | ( ~ (v51 = v50) & op(v7, % 23.23/3.93 | e1) = v50 & op(e0, e1) = v4 & op(e1, v4) = v51 & op(e1, e0) = v7 % 23.23/3.93 | & $i(v51) & $i(v50) & $i(v7) & $i(v4)) | ( ~ (v49 = v48) & op(v7, % 23.23/3.93 | e0) = v48 & op(e0, e0) = v0 & op(e1, v0) = v49 & op(e1, e0) = v7 % 23.23/3.93 | & $i(v49) & $i(v48) & $i(v7) & $i(v0)) | ( ~ (v47 = v46) & op(v6, % 23.23/3.93 | e3) = v46 & op(e3, e3) = v3 & op(e0, v3) = v47 & op(e0, e3) = v6 % 23.23/3.93 | & $i(v47) & $i(v46) & $i(v6) & $i(v3)) | ( ~ (v45 = v44) & op(v6, % 23.23/3.93 | e2) = v44 & op(e3, e2) = v15 & op(e0, v15) = v45 & op(e0, e3) = % 23.23/3.93 | v6 & $i(v45) & $i(v44) & $i(v15) & $i(v6)) | ( ~ (v43 = v42) & % 23.23/3.93 | op(v6, e1) = v42 & op(e3, e1) = v14 & op(e0, v14) = v43 & op(e0, % 23.23/3.93 | e3) = v6 & $i(v43) & $i(v42) & $i(v14) & $i(v6)) | ( ~ (v41 = % 23.23/3.93 | v40) & op(v6, e0) = v40 & op(e3, e0) = v13 & op(e0, v13) = v41 & % 23.23/3.93 | op(e0, e3) = v6 & $i(v41) & $i(v40) & $i(v13) & $i(v6)) | ( ~ (v39 % 23.23/3.93 | = v38) & op(v5, e3) = v38 & op(e2, e3) = v12 & op(e0, v12) = v39 % 23.23/3.93 | & op(e0, e2) = v5 & $i(v39) & $i(v38) & $i(v12) & $i(v5)) | ( ~ % 23.23/3.93 | (v37 = v36) & op(v5, e2) = v36 & op(e2, e2) = v2 & op(e0, v2) = % 23.23/3.93 | v37 & op(e0, e2) = v5 & $i(v37) & $i(v36) & $i(v5) & $i(v2)) | ( ~ % 23.23/3.93 | (v35 = v34) & op(v5, e1) = v34 & op(e2, e1) = v11 & op(e0, v11) = % 23.23/3.93 | v35 & op(e0, e2) = v5 & $i(v35) & $i(v34) & $i(v11) & $i(v5)) | ( % 23.23/3.93 | ~ (v33 = v32) & op(v5, e0) = v32 & op(e2, e0) = v10 & op(e0, v10) % 23.23/3.94 | = v33 & op(e0, e2) = v5 & $i(v33) & $i(v32) & $i(v10) & $i(v5)) | % 23.23/3.94 | ( ~ (v31 = v30) & op(v4, e3) = v30 & op(e0, v9) = v31 & op(e0, e1) = % 23.23/3.94 | v4 & op(e1, e3) = v9 & $i(v31) & $i(v30) & $i(v9) & $i(v4)) | ( ~ % 23.23/3.94 | (v29 = v28) & op(v4, e2) = v28 & op(e0, v8) = v29 & op(e0, e1) = % 23.23/3.94 | v4 & op(e1, e2) = v8 & $i(v29) & $i(v28) & $i(v8) & $i(v4)) | ( ~ % 23.23/3.94 | (v27 = v26) & op(v4, e1) = v26 & op(e0, v1) = v27 & op(e0, e1) = % 23.23/3.94 | v4 & op(e1, e1) = v1 & $i(v27) & $i(v26) & $i(v4) & $i(v1)) | ( ~ % 23.23/3.94 | (v25 = v24) & op(v4, e0) = v24 & op(e0, v7) = v25 & op(e0, e1) = % 23.23/3.94 | v4 & op(e1, e0) = v7 & $i(v25) & $i(v24) & $i(v7) & $i(v4)) | ( ~ % 23.23/3.94 | (v23 = v22) & op(v0, e3) = v22 & op(e0, v6) = v23 & op(e0, e3) = % 23.23/3.94 | v6 & op(e0, e0) = v0 & $i(v23) & $i(v22) & $i(v6) & $i(v0)) | ( ~ % 23.23/3.94 | (v21 = v20) & op(v0, e2) = v20 & op(e0, v5) = v21 & op(e0, e2) = % 23.23/3.94 | v5 & op(e0, e0) = v0 & $i(v21) & $i(v20) & $i(v5) & $i(v0)) | ( ~ % 23.23/3.94 | (v19 = v18) & op(v0, e1) = v18 & op(e0, v4) = v19 & op(e0, e0) = % 23.23/3.94 | v0 & op(e0, e1) = v4 & $i(v19) & $i(v18) & $i(v4) & $i(v0)) | ( ~ % 23.23/3.94 | (v17 = v16) & op(v0, e0) = v16 & op(e0, v0) = v17 & op(e0, e0) = % 23.23/3.94 | v0 & $i(v17) & $i(v16) & $i(v0)) | ( ~ (v15 = e3) & ~ (v15 = e2) % 23.23/3.94 | & ~ (v15 = e0) & ~ (v15 = e1) & op(e3, e2) = v15 & $i(v15)) | ( % 23.23/3.94 | ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 = e0) & ~ (v14 = e1) & % 23.23/3.94 | op(e3, e1) = v14 & $i(v14)) | ( ~ (v13 = e3) & ~ (v13 = e2) & ~ % 23.23/3.94 | (v13 = e0) & ~ (v13 = e1) & op(e3, e0) = v13 & $i(v13)) | ( ~ % 23.23/3.94 | (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ (v12 = e1) & % 23.23/3.94 | op(e2, e3) = v12 & $i(v12)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~ % 23.23/3.94 | (v11 = e0) & ~ (v11 = e1) & op(e2, e1) = v11 & $i(v11)) | ( ~ % 23.23/3.94 | (v10 = e3) & ~ (v10 = e2) & ~ (v10 = e0) & ~ (v10 = e1) & % 23.23/3.94 | op(e2, e0) = v10 & $i(v10)) | ( ~ (v9 = e3) & ~ (v9 = e2) & ~ % 23.23/3.94 | (v9 = e0) & ~ (v9 = e1) & op(e1, e3) = v9 & $i(v9)) | ( ~ (v8 = % 23.23/3.94 | e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ (v8 = e1) & op(e1, e2) = % 23.23/3.94 | v8 & $i(v8)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e0) & ~ % 23.23/3.94 | (v7 = e1) & op(e1, e0) = v7 & $i(v7)) | ( ~ (v6 = e3) & ~ (v6 = % 23.23/3.94 | e2) & ~ (v6 = e0) & ~ (v6 = e1) & op(e0, e3) = v6 & $i(v6)) | % 23.23/3.94 | ( ~ (v5 = e3) & ~ (v5 = e2) & ~ (v5 = e0) & ~ (v5 = e1) & op(e0, % 23.23/3.94 | e2) = v5 & $i(v5)) | ( ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = e0) % 23.23/3.94 | & ~ (v4 = e1) & op(e0, e1) = v4 & $i(v4)) | ( ~ (v3 = e3) & ~ % 23.23/3.94 | (v3 = e2) & ~ (v3 = e0) & ~ (v3 = e1) & op(e3, e3) = v3 & % 23.23/3.94 | $i(v3)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) & ~ (v2 = % 23.23/3.94 | e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & ~ (v1 = e2) & % 23.23/3.94 | ~ (v1 = e0) & ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 % 23.23/3.94 | = e3) & ~ (v0 = e2) & ~ (v0 = e0) & ~ (v0 = e1) & op(e0, e0) % 23.23/3.94 | = v0 & $i(v0)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) % 23.23/3.94 | & ~ (unit = e1)) | ((( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3)) | % 23.23/3.94 | ( ~ (v2 = e3) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & % 23.23/3.94 | op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e3) & op(e0, e0) = v0 & % 23.23/3.94 | $i(v0))) & (( ~ (v3 = e2) & op(e3, e3) = v3 & $i(v3)) | ( ~ % 23.23/3.94 | (v2 = e2) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e2) & op(e1, % 23.23/3.94 | e1) = v1 & $i(v1)) | ( ~ (v0 = e2) & op(e0, e0) = v0 & % 23.23/3.94 | $i(v0))) & (( ~ (v3 = e0) & op(e3, e3) = v3 & $i(v3)) | ( ~ % 23.23/3.94 | (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e0) & op(e1, % 23.23/3.94 | e1) = v1 & $i(v1)) | ( ~ (v0 = e0) & op(e0, e0) = v0 & % 23.23/3.94 | $i(v0))) & (( ~ (v3 = e1) & op(e3, e3) = v3 & $i(v3)) | ( ~ % 23.23/3.94 | (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e1) & op(e1, % 23.23/3.94 | e1) = v1 & $i(v1)) | ( ~ (v0 = e1) & op(e0, e0) = v0 & % 23.23/3.94 | $i(v0))))) % 23.23/3.94 | % 23.23/3.94 | ALPHA: (function-axioms) implies: % 23.23/3.94 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) % 23.23/3.94 | | ~ (inv(v2) = v0)) % 23.23/3.94 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.23/3.94 | (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 23.23/3.94 | % 23.23/3.94 | DELTA: instantiating (22) with fresh symbols all_4_0, all_4_1, all_4_2, % 23.23/3.94 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 23.23/3.94 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 23.23/3.94 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 23.23/3.94 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30, % 23.23/3.94 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37, % 23.23/3.94 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44, % 23.23/3.94 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51, % 23.23/3.94 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58, % 23.23/3.94 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65, % 23.23/3.94 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72, % 23.23/3.94 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79, % 23.23/3.94 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86, % 23.23/3.94 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93, % 23.23/3.94 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100, % 23.23/3.94 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106, % 23.23/3.94 | all_4_107, all_4_108, all_4_109, all_4_110, all_4_111, all_4_112, % 23.23/3.94 | all_4_113, all_4_114, all_4_115, all_4_116, all_4_117, all_4_118, % 23.23/3.94 | all_4_119, all_4_120, all_4_121, all_4_122, all_4_123, all_4_124, % 23.23/3.94 | all_4_125, all_4_126, all_4_127, all_4_128, all_4_129, all_4_130, % 23.23/3.94 | all_4_131, all_4_132, all_4_133, all_4_134, all_4_135, all_4_136, % 23.23/3.94 | all_4_137, all_4_138, all_4_139, all_4_140, all_4_141, all_4_142, % 23.23/3.94 | all_4_143, all_4_144, all_4_145, all_4_146, all_4_147, all_4_148, % 23.23/3.94 | all_4_149, all_4_150, all_4_151, all_4_152, all_4_153, all_4_154, % 23.23/3.94 | all_4_155, all_4_156, all_4_157, all_4_158, all_4_159, all_4_160, % 23.23/3.94 | all_4_161, all_4_162, all_4_163 gives: % 23.23/3.95 | (25) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = all_4_0 & % 23.23/3.95 | $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & inv(e3) = % 23.23/3.95 | all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2)) | ( % 23.23/3.95 | ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ % 23.23/3.95 | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 = % 23.23/3.95 | unit) & inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 & % 23.23/3.95 | $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) = % 23.23/3.95 | all_4_5 & op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( % 23.23/3.95 | ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ % 23.23/3.95 | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = % 23.23/3.95 | unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 & % 23.23/3.95 | $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) = % 23.23/3.95 | all_4_8 & op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( % 23.23/3.95 | ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 23.23/3.95 | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = % 23.23/3.95 | unit) & inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 & % 23.23/3.95 | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) = % 23.23/3.95 | all_4_11 & op(e0, all_4_11) = all_4_10 & $i(all_4_10) & % 23.23/3.95 | $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 23.23/3.95 | (all_4_11 = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 & % 23.23/3.95 | $i(all_4_11)) | ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & % 23.23/3.95 | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & % 23.23/3.95 | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 & % 23.23/3.95 | $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & % 23.23/3.95 | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & % 23.23/3.95 | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 & % 23.23/3.95 | $i(all_4_17)) | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & % 23.23/3.95 | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & % 23.23/3.95 | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = % 23.23/3.95 | all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 & % 23.23/3.95 | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 = % 23.23/3.95 | all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) = % 23.23/3.95 | all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 & % 23.23/3.95 | $i(all_4_22) & $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~ % 23.23/3.95 | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, % 23.23/3.95 | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) = % 23.23/3.95 | all_4_149 & $i(all_4_24) & $i(all_4_25) & $i(all_4_149) & % 23.23/3.95 | $i(all_4_160)) | ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = % 23.23/3.95 | all_4_27 & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & % 23.23/3.95 | op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, e3) = % 23.23/3.95 | all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148 & % 23.23/3.95 | op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_151)) | ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = % 23.23/3.95 | all_4_31 & op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & % 23.23/3.95 | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1) = % 23.23/3.95 | all_4_33 & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148 & % 23.23/3.95 | op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = % 23.23/3.95 | all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & % 23.23/3.95 | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = % 23.23/3.95 | all_4_37 & op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_154)) | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = % 23.23/3.95 | all_4_39 & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) & op(all_4_149, e1) = % 23.23/3.95 | all_4_41 & op(e3, all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & % 23.23/3.95 | op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_162)) | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = % 23.23/3.95 | all_4_43 & op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/3.95 | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3) = % 23.23/3.95 | all_4_45 & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150 & % 23.23/3.95 | op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_157)) | ( ~ (all_4_46 = all_4_47) & op(all_4_150, e2) = % 23.23/3.95 | all_4_47 & op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150 & % 23.23/3.95 | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_158)) | ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = % 23.23/3.95 | all_4_49 & op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & % 23.23/3.95 | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = % 23.23/3.95 | all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & % 23.23/3.95 | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & op(all_4_151, e3) = % 23.23/3.95 | all_4_53 & op(e3, e3) = all_4_160 & op(e2, all_4_160) = all_4_52 & % 23.23/3.95 | op(e2, e3) = all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151) % 23.23/3.95 | & $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = % 23.23/3.95 | all_4_55 & op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 & % 23.23/3.95 | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = % 23.23/3.95 | all_4_57 & op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & % 23.23/3.95 | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = % 23.23/3.95 | all_4_59 & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 & % 23.23/3.95 | op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3) = % 23.23/3.95 | all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 & % 23.23/3.95 | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) & $i(all_4_151) % 23.23/3.95 | & $i(all_4_161)) | ( ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = % 23.23/3.95 | all_4_63 & op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 & % 23.23/3.95 | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~ (all_4_64 = % 23.23/3.95 | all_4_65) & op(all_4_161, e1) = all_4_65 & op(e2, all_4_152) = % 23.23/3.95 | all_4_64 & op(e2, e2) = all_4_161 & op(e2, e1) = all_4_152 & % 23.23/3.95 | $i(all_4_64) & $i(all_4_65) & $i(all_4_152) & $i(all_4_161)) | ( ~ % 23.23/3.95 | (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2, % 23.23/3.95 | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) = % 23.23/3.95 | all_4_153 & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) & % 23.23/3.95 | $i(all_4_161)) | ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = % 23.23/3.95 | all_4_69 & op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) & $i(all_4_152) % 23.23/3.95 | & $i(all_4_154)) | ( ~ (all_4_70 = all_4_71) & op(all_4_152, e2) = % 23.23/3.95 | all_4_71 & op(e2, all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) & $i(all_4_152) % 23.23/3.95 | & $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = % 23.23/3.95 | all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & % 23.23/3.95 | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) & $i(all_4_152) % 23.23/3.95 | & $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0) = % 23.23/3.95 | all_4_75 & op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 & % 23.23/3.95 | op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) & $i(all_4_152) % 23.23/3.95 | & $i(all_4_156)) | ( ~ (all_4_76 = all_4_77) & op(all_4_153, e3) = % 23.23/3.95 | all_4_77 & op(e2, all_4_157) = all_4_76 & op(e2, e0) = all_4_153 & % 23.23/3.95 | op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) & $i(all_4_153) % 23.23/3.95 | & $i(all_4_157)) | ( ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = % 23.23/3.95 | all_4_79 & op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & % 23.23/3.95 | op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) % 23.23/3.95 | & $i(all_4_158)) | ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = % 23.23/3.95 | all_4_81 & op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & % 23.23/3.95 | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & $i(all_4_153) % 23.23/3.95 | & $i(all_4_159)) | ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = % 23.23/3.95 | all_4_83 & op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & % 23.23/3.95 | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & $i(all_4_153) % 23.23/3.95 | & $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = % 23.23/3.95 | all_4_85 & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) & $i(all_4_154) % 23.23/3.95 | & $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & op(all_4_154, e2) = % 23.23/3.95 | all_4_87 & op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) & $i(all_4_148) % 23.23/3.95 | & $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = % 23.23/3.95 | all_4_89 & op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89) & $i(all_4_149) % 23.23/3.95 | & $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = % 23.23/3.95 | all_4_91 & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90 & % 23.23/3.95 | op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) & $i(all_4_150) % 23.23/3.95 | & $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = % 23.23/3.95 | all_4_93 & op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) & $i(all_4_151) % 23.23/3.95 | & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = % 23.23/3.95 | all_4_95 & op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & $i(all_4_155) % 23.23/3.95 | & $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = % 23.23/3.95 | all_4_97 & op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) & $i(all_4_152) % 23.23/3.95 | & $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = % 23.23/3.95 | all_4_99 & op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) & $i(all_4_153) % 23.23/3.95 | & $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) = % 23.23/3.95 | all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3) = all_4_154 & % 23.23/3.95 | op(e1, e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) & % 23.23/3.95 | $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) & % 23.23/3.95 | op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) = all_4_102 & % 23.23/3.95 | op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) & % 23.23/3.95 | $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | ( ~ (all_4_104 = % 23.23/3.95 | all_4_105) & op(all_4_162, e1) = all_4_105 & op(e1, all_4_162) = % 23.23/3.95 | all_4_104 & op(e1, e1) = all_4_162 & $i(all_4_104) & $i(all_4_105) & % 23.23/3.95 | $i(all_4_162)) | ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) = % 23.23/3.95 | all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 & % 23.23/3.95 | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) & % 23.23/3.95 | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = all_4_109) & % 23.23/3.95 | op(all_4_156, e3) = all_4_109 & op(e0, e3) = all_4_157 & op(e1, % 23.23/3.95 | all_4_157) = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) & % 23.23/3.95 | $i(all_4_109) & $i(all_4_156) & $i(all_4_157)) | ( ~ (all_4_110 = % 23.23/3.95 | all_4_111) & op(all_4_156, e2) = all_4_111 & op(e0, e2) = % 23.23/3.95 | all_4_158 & op(e1, all_4_158) = all_4_110 & op(e1, e0) = all_4_156 & % 23.23/3.95 | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) | ( ~ % 23.23/3.95 | (all_4_112 = all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1) % 23.23/3.95 | = all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0) = all_4_156 % 23.23/3.95 | & $i(all_4_112) & $i(all_4_113) & $i(all_4_156) & $i(all_4_159)) | ( % 23.23/3.95 | ~ (all_4_114 = all_4_115) & op(all_4_156, e0) = all_4_115 & op(e0, % 23.23/3.95 | e0) = all_4_163 & op(e1, all_4_163) = all_4_114 & op(e1, e0) = % 23.23/3.95 | all_4_156 & $i(all_4_114) & $i(all_4_115) & $i(all_4_156) & % 23.23/3.95 | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & op(all_4_157, e3) = % 23.23/3.95 | all_4_117 & op(e3, e3) = all_4_160 & op(e0, all_4_160) = all_4_116 & % 23.23/3.95 | op(e0, e3) = all_4_157 & $i(all_4_116) & $i(all_4_117) & % 23.23/3.95 | $i(all_4_157) & $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & % 23.23/3.95 | op(all_4_157, e2) = all_4_119 & op(e3, e2) = all_4_148 & op(e0, % 23.23/3.95 | all_4_148) = all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) & % 23.23/3.95 | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 = % 23.23/3.95 | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) = % 23.23/3.95 | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) = all_4_157 & % 23.23/3.95 | $i(all_4_120) & $i(all_4_121) & $i(all_4_149) & $i(all_4_157)) | ( ~ % 23.23/3.95 | (all_4_122 = all_4_123) & op(all_4_157, e0) = all_4_123 & op(e3, e0) % 23.23/3.95 | = all_4_150 & op(e0, all_4_150) = all_4_122 & op(e0, e3) = all_4_157 % 23.23/3.95 | & $i(all_4_122) & $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | ( % 23.23/3.95 | ~ (all_4_124 = all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2, % 23.23/3.95 | e3) = all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2) = % 23.23/3.95 | all_4_158 & $i(all_4_124) & $i(all_4_125) & $i(all_4_151) & % 23.23/3.95 | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158, e2) = % 23.23/3.95 | all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161) = all_4_126 & % 23.23/3.95 | op(e0, e2) = all_4_158 & $i(all_4_126) & $i(all_4_127) & % 23.23/3.95 | $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) & % 23.23/3.95 | op(all_4_158, e1) = all_4_129 & op(e2, e1) = all_4_152 & op(e0, % 23.23/3.95 | all_4_152) = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) & % 23.23/3.95 | $i(all_4_129) & $i(all_4_152) & $i(all_4_158)) | ( ~ (all_4_130 = % 23.23/3.95 | all_4_131) & op(all_4_158, e0) = all_4_131 & op(e2, e0) = % 23.23/3.95 | all_4_153 & op(e0, all_4_153) = all_4_130 & op(e0, e2) = all_4_158 & % 23.23/3.95 | $i(all_4_130) & $i(all_4_131) & $i(all_4_153) & $i(all_4_158)) | ( ~ % 23.23/3.95 | (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0, % 23.23/3.95 | all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & op(e1, e3) = % 23.23/3.95 | all_4_154 & $i(all_4_132) & $i(all_4_133) & $i(all_4_154) & % 23.23/3.95 | $i(all_4_159)) | ( ~ (all_4_134 = all_4_135) & op(all_4_159, e2) = % 23.23/3.95 | all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & % 23.23/3.95 | op(e1, e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) & % 23.23/3.95 | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) & % 23.23/3.95 | op(all_4_159, e1) = all_4_137 & op(e0, all_4_162) = all_4_136 & % 23.23/3.95 | op(e0, e1) = all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) & % 23.23/3.95 | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 = % 23.23/3.95 | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0, all_4_156) = % 23.23/3.95 | all_4_138 & op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 & % 23.23/3.95 | $i(all_4_138) & $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | ( ~ % 23.23/3.95 | (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 & op(e0, % 23.23/3.95 | all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0, e0) = % 23.23/3.95 | all_4_163 & $i(all_4_140) & $i(all_4_141) & $i(all_4_157) & % 23.23/3.95 | $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & op(all_4_163, e2) = % 23.23/3.95 | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) = all_4_158 & % 23.23/3.95 | op(e0, e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) & % 23.23/3.95 | $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 = all_4_145) & % 23.23/3.95 | op(all_4_163, e1) = all_4_145 & op(e0, all_4_159) = all_4_144 & % 23.23/3.95 | op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) & % 23.23/3.95 | $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 = % 23.23/3.95 | all_4_147) & op(all_4_163, e0) = all_4_147 & op(e0, all_4_163) = % 23.23/3.95 | all_4_146 & op(e0, e0) = all_4_163 & $i(all_4_146) & $i(all_4_147) & % 23.23/3.95 | $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ % 23.23/3.95 | (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 & % 23.23/3.95 | $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ % 23.23/3.95 | (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, e1) = all_4_149 & % 23.23/3.95 | $i(all_4_149)) | ( ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ % 23.23/3.95 | (all_4_150 = e0) & ~ (all_4_150 = e1) & op(e3, e0) = all_4_150 & % 23.23/3.95 | $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ % 23.23/3.95 | (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 & % 23.23/3.95 | $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ % 23.23/3.95 | (all_4_152 = e0) & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 & % 23.23/3.95 | $i(all_4_152)) | ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ % 23.23/3.95 | (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 & % 23.23/3.95 | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ % 23.23/3.95 | (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = all_4_154 & % 23.23/3.95 | $i(all_4_154)) | ( ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ % 23.23/3.95 | (all_4_155 = e0) & ~ (all_4_155 = e1) & op(e1, e2) = all_4_155 & % 23.23/3.95 | $i(all_4_155)) | ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ % 23.23/3.95 | (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 & % 23.23/3.95 | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ % 23.23/3.95 | (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) = all_4_157 & % 23.23/3.95 | $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ % 23.23/3.95 | (all_4_158 = e0) & ~ (all_4_158 = e1) & op(e0, e2) = all_4_158 & % 23.23/3.95 | $i(all_4_158)) | ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ % 23.23/3.95 | (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0, e1) = all_4_159 & % 23.23/3.95 | $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ % 23.23/3.95 | (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) = all_4_160 & % 23.23/3.95 | $i(all_4_160)) | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ % 23.23/3.95 | (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 & % 23.23/3.95 | $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ % 23.23/3.95 | (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) = all_4_162 & % 23.23/3.95 | $i(all_4_162)) | ( ~ (all_4_163 = e3) & ~ (all_4_163 = e2) & ~ % 23.23/3.95 | (all_4_163 = e0) & ~ (all_4_163 = e1) & op(e0, e0) = all_4_163 & % 23.23/3.95 | $i(all_4_163)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 23.23/3.95 | ~ (unit = e1)) | ((( ~ (all_4_160 = e3) & op(e3, e3) = all_4_160 & % 23.23/3.95 | $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) = all_4_161 & % 23.23/3.95 | $i(all_4_161)) | ( ~ (all_4_162 = e3) & op(e1, e1) = all_4_162 & % 23.23/3.95 | $i(all_4_162)) | ( ~ (all_4_163 = e3) & op(e0, e0) = all_4_163 & % 23.23/3.95 | $i(all_4_163))) & (( ~ (all_4_160 = e2) & op(e3, e3) = all_4_160 % 23.23/3.95 | & $i(all_4_160)) | ( ~ (all_4_161 = e2) & op(e2, e2) = all_4_161 % 23.23/3.95 | & $i(all_4_161)) | ( ~ (all_4_162 = e2) & op(e1, e1) = all_4_162 % 23.23/3.95 | & $i(all_4_162)) | ( ~ (all_4_163 = e2) & op(e0, e0) = all_4_163 % 23.23/3.95 | & $i(all_4_163))) & (( ~ (all_4_160 = e0) & op(e3, e3) = % 23.23/3.95 | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) = % 23.23/3.95 | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e0) & op(e1, e1) = % 23.23/3.95 | all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e0) & op(e0, e0) = % 23.23/3.95 | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e1) & op(e3, e3) % 23.23/3.95 | = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e1) & op(e2, e2) % 23.23/3.95 | = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e1) & op(e1, e1) % 23.23/3.95 | = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e1) & op(e0, e0) % 23.23/3.95 | = all_4_163 & $i(all_4_163)))) % 23.23/3.95 | % 23.23/3.95 | BETA: splitting (25) gives: % 23.23/3.95 | % 23.23/3.95 | Case 1: % 23.23/3.95 | | % 23.23/3.96 | | (26) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = all_4_0 % 23.23/3.96 | | & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & inv(e3) = % 23.23/3.96 | | all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2)) | % 23.23/3.96 | | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ % 23.23/3.96 | | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 = % 23.23/3.96 | | unit) & inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 & % 23.23/3.96 | | $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) = % 23.23/3.96 | | all_4_5 & op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) | % 23.23/3.96 | | ( ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ % 23.23/3.96 | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = % 23.23/3.96 | | unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 & % 23.23/3.96 | | $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) = % 23.23/3.96 | | all_4_8 & op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) | % 23.23/3.96 | | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 23.23/3.96 | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = % 23.23/3.96 | | unit) & inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 & % 23.23/3.96 | | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) = % 23.23/3.96 | | all_4_11 & op(e0, all_4_11) = all_4_10 & $i(all_4_10) & % 23.23/3.96 | | $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 23.23/3.96 | | (all_4_11 = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 & % 23.23/3.96 | | $i(all_4_11)) | ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & % 23.23/3.96 | | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & % 23.23/3.96 | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 & % 23.23/3.96 | | $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & % 23.23/3.96 | | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & % 23.23/3.96 | | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 & % 23.23/3.96 | | $i(all_4_17)) | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & % 23.23/3.96 | | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & % 23.23/3.96 | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = % 23.23/3.96 | | all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 & % 23.23/3.96 | | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 = % 23.23/3.96 | | all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) = % 23.23/3.96 | | all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 & % 23.23/3.96 | | $i(all_4_22) & $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~ % 23.23/3.96 | | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, % 23.23/3.96 | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) = % 23.23/3.96 | | all_4_149 & $i(all_4_24) & $i(all_4_25) & $i(all_4_149) & % 23.23/3.96 | | $i(all_4_160)) | ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = % 23.23/3.96 | | all_4_27 & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & % 23.23/3.96 | | op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) & % 23.23/3.96 | | $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & % 23.23/3.96 | | op(all_4_148, e3) = all_4_29 & op(e3, all_4_151) = all_4_28 & % 23.23/3.96 | | op(e3, e2) = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) & % 23.23/3.96 | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_30 = % 23.23/3.96 | | all_4_31) & op(all_4_148, e2) = all_4_31 & op(e3, all_4_161) = % 23.23/3.96 | | all_4_30 & op(e3, e2) = all_4_148 & op(e2, e2) = all_4_161 & % 23.23/3.96 | | $i(all_4_30) & $i(all_4_31) & $i(all_4_148) & $i(all_4_161)) | ( ~ % 23.23/3.96 | | (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33 & op(e3, % 23.23/3.96 | | all_4_152) = all_4_32 & op(e3, e2) = all_4_148 & op(e2, e1) = % 23.23/3.96 | | all_4_152 & $i(all_4_32) & $i(all_4_33) & $i(all_4_148) & % 23.23/3.96 | | $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = % 23.23/3.96 | | all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & % 23.23/3.96 | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & % 23.23/3.96 | | $i(all_4_148) & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) & % 23.23/3.96 | | op(all_4_149, e3) = all_4_37 & op(e3, all_4_154) = all_4_36 & % 23.23/3.96 | | op(e3, e1) = all_4_149 & op(e1, e3) = all_4_154 & $i(all_4_36) & % 23.23/3.96 | | $i(all_4_37) & $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 = % 23.23/3.96 | | all_4_39) & op(all_4_149, e2) = all_4_39 & op(e3, all_4_155) = % 23.23/3.96 | | all_4_38 & op(e3, e1) = all_4_149 & op(e1, e2) = all_4_155 & % 23.23/3.96 | | $i(all_4_38) & $i(all_4_39) & $i(all_4_149) & $i(all_4_155)) | ( ~ % 23.23/3.96 | | (all_4_40 = all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3, % 23.23/3.96 | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & op(e1, e1) = % 23.23/3.96 | | all_4_162 & $i(all_4_40) & $i(all_4_41) & $i(all_4_149) & % 23.23/3.96 | | $i(all_4_162)) | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = % 23.23/3.96 | | all_4_43 & op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/3.96 | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & % 23.23/3.96 | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & % 23.23/3.96 | | op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) = all_4_44 & % 23.23/3.96 | | op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157 & $i(all_4_44) & % 23.23/3.96 | | $i(all_4_45) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 = % 23.23/3.96 | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, all_4_158) = % 23.23/3.96 | | all_4_46 & op(e3, e0) = all_4_150 & op(e0, e2) = all_4_158 & % 23.23/3.96 | | $i(all_4_46) & $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) | ( ~ % 23.23/3.96 | | (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & op(e3, % 23.23/3.96 | | all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & op(e0, e1) = % 23.23/3.96 | | all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150) & % 23.23/3.96 | | $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = % 23.23/3.96 | | all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & % 23.23/3.96 | | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & % 23.23/3.96 | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & % 23.23/3.96 | | op(all_4_151, e3) = all_4_53 & op(e3, e3) = all_4_160 & op(e2, % 23.23/3.96 | | all_4_160) = all_4_52 & op(e2, e3) = all_4_151 & $i(all_4_52) & % 23.23/3.96 | | $i(all_4_53) & $i(all_4_151) & $i(all_4_160)) | ( ~ (all_4_54 = % 23.23/3.96 | | all_4_55) & op(all_4_151, e2) = all_4_55 & op(e3, e2) = % 23.23/3.96 | | all_4_148 & op(e2, all_4_148) = all_4_54 & op(e2, e3) = all_4_151 % 23.23/3.96 | | & $i(all_4_54) & $i(all_4_55) & $i(all_4_148) & $i(all_4_151)) | ( % 23.23/3.96 | | ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & op(e3, % 23.23/3.96 | | e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & op(e2, e3) = % 23.23/3.96 | | all_4_151 & $i(all_4_56) & $i(all_4_57) & $i(all_4_149) & % 23.23/3.96 | | $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = % 23.23/3.96 | | all_4_59 & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 & % 23.23/3.96 | | op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) & % 23.23/3.96 | | $i(all_4_150) & $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & % 23.23/3.96 | | op(all_4_161, e3) = all_4_61 & op(e2, all_4_151) = all_4_60 & % 23.23/3.96 | | op(e2, e3) = all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) & % 23.23/3.96 | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 = % 23.23/3.96 | | all_4_63) & op(all_4_161, e2) = all_4_63 & op(e2, all_4_161) = % 23.23/3.96 | | all_4_62 & op(e2, e2) = all_4_161 & $i(all_4_62) & $i(all_4_63) & % 23.23/3.96 | | $i(all_4_161)) | ( ~ (all_4_64 = all_4_65) & op(all_4_161, e1) = % 23.23/3.96 | | all_4_65 & op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 & % 23.23/3.96 | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) & % 23.23/3.96 | | $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 = all_4_67) & % 23.23/3.96 | | op(all_4_161, e0) = all_4_67 & op(e2, all_4_153) = all_4_66 & % 23.23/3.96 | | op(e2, e2) = all_4_161 & op(e2, e0) = all_4_153 & $i(all_4_66) & % 23.23/3.96 | | $i(all_4_67) & $i(all_4_153) & $i(all_4_161)) | ( ~ (all_4_68 = % 23.23/3.96 | | all_4_69) & op(all_4_152, e3) = all_4_69 & op(e2, all_4_154) = % 23.23/3.96 | | all_4_68 & op(e2, e1) = all_4_152 & op(e1, e3) = all_4_154 & % 23.23/3.96 | | $i(all_4_68) & $i(all_4_69) & $i(all_4_152) & $i(all_4_154)) | ( ~ % 23.23/3.96 | | (all_4_70 = all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2, % 23.23/3.96 | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) = % 23.23/3.96 | | all_4_155 & $i(all_4_70) & $i(all_4_71) & $i(all_4_152) & % 23.23/3.96 | | $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = % 23.23/3.96 | | all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & % 23.23/3.96 | | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) & % 23.23/3.96 | | $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & % 23.23/3.96 | | op(all_4_152, e0) = all_4_75 & op(e2, all_4_156) = all_4_74 & % 23.23/3.96 | | op(e2, e1) = all_4_152 & op(e1, e0) = all_4_156 & $i(all_4_74) & % 23.23/3.96 | | $i(all_4_75) & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 = % 23.23/3.96 | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, all_4_157) = % 23.23/3.96 | | all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3) = all_4_157 & % 23.23/3.96 | | $i(all_4_76) & $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) | ( ~ % 23.23/3.96 | | (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2, % 23.23/3.96 | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, e2) = % 23.23/3.96 | | all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) & % 23.23/3.96 | | $i(all_4_158)) | ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = % 23.23/3.96 | | all_4_81 & op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & % 23.23/3.96 | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & % 23.23/3.96 | | $i(all_4_153) & $i(all_4_159)) % 23.23/3.96 | | % 23.23/3.96 | | BETA: splitting (26) gives: % 23.23/3.96 | | % 23.23/3.96 | | Case 1: % 23.23/3.96 | | | % 23.23/3.96 | | | (27) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = % 23.23/3.96 | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & % 23.23/3.96 | | | inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & % 23.23/3.96 | | | $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ % 23.23/3.96 | | | (all_4_2 = e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 & % 23.23/3.96 | | | $i(all_4_2)) | ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 & % 23.23/3.96 | | | op(all_4_5, e2) = all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~ % 23.23/3.96 | | | (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5) = all_4_4 % 23.23/3.96 | | | & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~ (all_4_5 % 23.23/3.96 | | | = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) & inv(e2) = % 23.23/3.96 | | | all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = unit) & inv(e1) = % 23.23/3.96 | | | all_4_8 & op(all_4_8, e1) = all_4_6 & $i(all_4_6) & $i(all_4_8)) % 23.23/3.96 | | | | ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1, all_4_8) = % 23.23/3.96 | | | all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~ % 23.23/3.96 | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) & inv(e1) % 23.23/3.96 | | | = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = unit) & inv(e0) = % 23.23/3.96 | | | all_4_11 & op(all_4_11, e0) = all_4_9 & $i(all_4_9) & % 23.23/3.96 | | | $i(all_4_11)) | ( ~ (all_4_10 = unit) & inv(e0) = all_4_11 & % 23.23/3.96 | | | op(e0, all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11)) | ( ~ % 23.23/3.96 | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ % 23.23/3.96 | | | (all_4_11 = e1) & inv(e0) = all_4_11 & $i(all_4_11)) | ( ~ % 23.23/3.96 | | | (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12)) | ( ~ % 23.23/3.96 | | | (all_4_13 = e3) & op(unit, e3) = all_4_13 & $i(all_4_13)) | ( ~ % 23.23/3.96 | | | (all_4_14 = e2) & op(e2, unit) = all_4_14 & $i(all_4_14)) | ( ~ % 23.23/3.96 | | | (all_4_15 = e2) & op(unit, e2) = all_4_15 & $i(all_4_15)) | ( ~ % 23.23/3.96 | | | (all_4_16 = e1) & op(e1, unit) = all_4_16 & $i(all_4_16)) | ( ~ % 23.23/3.96 | | | (all_4_17 = e1) & op(unit, e1) = all_4_17 & $i(all_4_17)) | ( ~ % 23.23/3.96 | | | (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18)) | ( ~ % 23.23/3.96 | | | (all_4_19 = e0) & op(unit, e0) = all_4_19 & $i(all_4_19)) | ( ~ % 23.23/3.96 | | | (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21 & op(e3, % 23.23/3.96 | | | all_4_160) = all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20) % 23.23/3.96 | | | & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 = all_4_23) & % 23.23/3.96 | | | op(all_4_160, e2) = all_4_23 & op(e3, all_4_148) = all_4_22 & % 23.23/3.96 | | | op(e3, e3) = all_4_160 & op(e3, e2) = all_4_148 & $i(all_4_22) & % 23.23/3.96 | | | $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 = % 23.23/3.96 | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, all_4_149) = % 23.23/3.96 | | | all_4_24 & op(e3, e3) = all_4_160 & op(e3, e1) = all_4_149 & % 23.23/3.96 | | | $i(all_4_24) & $i(all_4_25) & $i(all_4_149) & $i(all_4_160)) | ( % 23.23/3.96 | | | ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3, % 23.23/3.96 | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0) = % 23.23/3.96 | | | all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) & % 23.23/3.96 | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, e3) = % 23.23/3.96 | | | all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148 % 23.23/3.96 | | | & op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) & % 23.23/3.96 | | | $i(all_4_148) & $i(all_4_151)) % 23.23/3.96 | | | % 23.23/3.96 | | | BETA: splitting (27) gives: % 23.23/3.96 | | | % 23.23/3.96 | | | Case 1: % 23.23/3.96 | | | | % 23.23/3.97 | | | | (28) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = % 23.23/3.97 | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) & % 23.23/3.97 | | | | inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & $i(all_4_1) & % 23.23/3.97 | | | | $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ % 23.23/3.97 | | | | (all_4_2 = e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 & % 23.23/3.97 | | | | $i(all_4_2)) | ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 & % 23.23/3.97 | | | | op(all_4_5, e2) = all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~ % 23.23/3.97 | | | | (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5) = % 23.23/3.97 | | | | all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~ % 23.23/3.97 | | | | (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) & % 23.23/3.97 | | | | inv(e2) = all_4_5 & $i(all_4_5)) | ( ~ (all_4_6 = unit) & % 23.23/3.97 | | | | inv(e1) = all_4_8 & op(all_4_8, e1) = all_4_6 & $i(all_4_6) & % 23.23/3.97 | | | | $i(all_4_8)) | ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 & % 23.23/3.97 | | | | op(e1, all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~ % 23.23/3.97 | | | | (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 23.23/3.97 | | | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ % 23.23/3.97 | | | | (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11, e0) = % 23.23/3.97 | | | | all_4_9 & $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) % 23.23/3.97 | | | | & inv(e0) = all_4_11 & op(e0, all_4_11) = all_4_10 & % 23.23/3.97 | | | | $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ % 23.23/3.97 | | | | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1) & % 23.23/3.97 | | | | inv(e0) = all_4_11 & $i(all_4_11)) % 23.23/3.97 | | | | % 23.23/3.97 | | | | BETA: splitting (28) gives: % 23.23/3.97 | | | | % 23.23/3.97 | | | | Case 1: % 23.23/3.97 | | | | | % 23.23/3.97 | | | | | (29) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = % 23.23/3.97 | | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = unit) % 23.23/3.97 | | | | | & inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & % 23.23/3.97 | | | | | $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ % 23.23/3.97 | | | | | (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ (all_4_2 = e1) & % 23.23/3.97 | | | | | inv(e3) = all_4_2 & $i(all_4_2)) | ( ~ (all_4_3 = unit) & % 23.23/3.97 | | | | | inv(e2) = all_4_5 & op(all_4_5, e2) = all_4_3 & $i(all_4_3) % 23.23/3.97 | | | | | & $i(all_4_5)) | ( ~ (all_4_4 = unit) & inv(e2) = all_4_5 & % 23.23/3.97 | | | | | op(e2, all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~ % 23.23/3.97 | | | | | (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ % 23.23/3.97 | | | | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) % 23.23/3.97 | | | | | % 23.23/3.97 | | | | | BETA: splitting (29) gives: % 23.23/3.97 | | | | | % 23.23/3.97 | | | | | Case 1: % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | (30) ( ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) = % 23.23/3.97 | | | | | | all_4_0 & $i(all_4_0) & $i(all_4_2)) | ( ~ (all_4_1 = % 23.23/3.97 | | | | | | unit) & inv(e3) = all_4_2 & op(e3, all_4_2) = all_4_1 & % 23.23/3.97 | | | | | | $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 = e3) & ~ % 23.23/3.97 | | | | | | (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ (all_4_2 = e1) & % 23.23/3.97 | | | | | | inv(e3) = all_4_2 & $i(all_4_2)) % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | BETA: splitting (30) gives: % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | Case 1: % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | (31) ~ (all_4_0 = unit) & inv(e3) = all_4_2 & op(all_4_2, e3) % 23.23/3.97 | | | | | | | = all_4_0 & $i(all_4_0) & $i(all_4_2) % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | ALPHA: (31) implies: % 23.23/3.97 | | | | | | | (32) ~ (all_4_0 = unit) % 23.23/3.97 | | | | | | | (33) op(all_4_2, e3) = all_4_0 % 23.23/3.97 | | | | | | | (34) inv(e3) = all_4_2 % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | REDUCE: (17), (32) imply: % 23.23/3.97 | | | | | | | (35) ~ (all_4_0 = e0) % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | GROUND_INST: instantiating (23) with e3, all_4_2, e3, simplifying % 23.23/3.97 | | | | | | | with (21), (34) gives: % 23.23/3.97 | | | | | | | (36) all_4_2 = e3 % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | REDUCE: (33), (36) imply: % 23.23/3.97 | | | | | | | (37) op(e3, e3) = all_4_0 % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_0, e3, e3, % 23.23/3.97 | | | | | | | simplifying with (16), (37) gives: % 23.23/3.97 | | | | | | | (38) all_4_0 = e0 % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | REDUCE: (35), (38) imply: % 23.23/3.97 | | | | | | | (39) $false % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | CLOSE: (39) is inconsistent. % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | Case 2: % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | (40) ( ~ (all_4_1 = unit) & inv(e3) = all_4_2 & op(e3, all_4_2) % 23.23/3.97 | | | | | | | = all_4_1 & $i(all_4_1) & $i(all_4_2)) | ( ~ (all_4_2 = % 23.23/3.97 | | | | | | | e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = e0) & ~ % 23.23/3.97 | | | | | | | (all_4_2 = e1) & inv(e3) = all_4_2 & $i(all_4_2)) % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | BETA: splitting (40) gives: % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | Case 1: % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | (41) ~ (all_4_1 = unit) & inv(e3) = all_4_2 & op(e3, % 23.23/3.97 | | | | | | | | all_4_2) = all_4_1 & $i(all_4_1) & $i(all_4_2) % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | ALPHA: (41) implies: % 23.23/3.97 | | | | | | | | (42) ~ (all_4_1 = unit) % 23.23/3.97 | | | | | | | | (43) op(e3, all_4_2) = all_4_1 % 23.23/3.97 | | | | | | | | (44) inv(e3) = all_4_2 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | REDUCE: (17), (42) imply: % 23.23/3.97 | | | | | | | | (45) ~ (all_4_1 = e0) % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | GROUND_INST: instantiating (23) with e3, all_4_2, e3, % 23.23/3.97 | | | | | | | | simplifying with (21), (44) gives: % 23.23/3.97 | | | | | | | | (46) all_4_2 = e3 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | REDUCE: (43), (46) imply: % 23.23/3.97 | | | | | | | | (47) op(e3, e3) = all_4_1 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_1, e3, e3, % 23.23/3.97 | | | | | | | | simplifying with (16), (47) gives: % 23.23/3.97 | | | | | | | | (48) all_4_1 = e0 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | REDUCE: (45), (48) imply: % 23.23/3.97 | | | | | | | | (49) $false % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | CLOSE: (49) is inconsistent. % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | Case 2: % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | (50) ~ (all_4_2 = e3) & ~ (all_4_2 = e2) & ~ (all_4_2 = % 23.23/3.97 | | | | | | | | e0) & ~ (all_4_2 = e1) & inv(e3) = all_4_2 & % 23.23/3.97 | | | | | | | | $i(all_4_2) % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | ALPHA: (50) implies: % 23.23/3.97 | | | | | | | | (51) ~ (all_4_2 = e3) % 23.23/3.97 | | | | | | | | (52) inv(e3) = all_4_2 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | GROUND_INST: instantiating (23) with e3, all_4_2, e3, % 23.23/3.97 | | | | | | | | simplifying with (21), (52) gives: % 23.23/3.97 | | | | | | | | (53) all_4_2 = e3 % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | REDUCE: (51), (53) imply: % 23.23/3.97 | | | | | | | | (54) $false % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | | CLOSE: (54) is inconsistent. % 23.23/3.97 | | | | | | | | % 23.23/3.97 | | | | | | | End of split % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | End of split % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | Case 2: % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | (55) ( ~ (all_4_3 = unit) & inv(e2) = all_4_5 & op(all_4_5, e2) = % 23.23/3.97 | | | | | | all_4_3 & $i(all_4_3) & $i(all_4_5)) | ( ~ (all_4_4 = % 23.23/3.97 | | | | | | unit) & inv(e2) = all_4_5 & op(e2, all_4_5) = all_4_4 & % 23.23/3.97 | | | | | | $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = e3) & ~ % 23.23/3.97 | | | | | | (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ (all_4_5 = e1) & % 23.23/3.97 | | | | | | inv(e2) = all_4_5 & $i(all_4_5)) % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | BETA: splitting (55) gives: % 23.23/3.97 | | | | | | % 23.23/3.97 | | | | | | Case 1: % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | (56) ~ (all_4_3 = unit) & inv(e2) = all_4_5 & op(all_4_5, e2) % 23.23/3.97 | | | | | | | = all_4_3 & $i(all_4_3) & $i(all_4_5) % 23.23/3.97 | | | | | | | % 23.23/3.97 | | | | | | | ALPHA: (56) implies: % 23.23/3.98 | | | | | | | (57) ~ (all_4_3 = unit) % 23.23/3.98 | | | | | | | (58) op(all_4_5, e2) = all_4_3 % 23.23/3.98 | | | | | | | (59) inv(e2) = all_4_5 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (17), (57) imply: % 23.23/3.98 | | | | | | | (60) ~ (all_4_3 = e0) % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | GROUND_INST: instantiating (23) with e2, all_4_5, e2, simplifying % 23.23/3.98 | | | | | | | with (20), (59) gives: % 23.23/3.98 | | | | | | | (61) all_4_5 = e2 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (58), (61) imply: % 23.23/3.98 | | | | | | | (62) op(e2, e2) = all_4_3 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_3, e2, e2, % 23.23/3.98 | | | | | | | simplifying with (11), (62) gives: % 23.23/3.98 | | | | | | | (63) all_4_3 = e0 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (60), (63) imply: % 23.23/3.98 | | | | | | | (64) $false % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | CLOSE: (64) is inconsistent. % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | Case 2: % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | (65) ( ~ (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, all_4_5) % 23.23/3.98 | | | | | | | = all_4_4 & $i(all_4_4) & $i(all_4_5)) | ( ~ (all_4_5 = % 23.23/3.98 | | | | | | | e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = e0) & ~ % 23.23/3.98 | | | | | | | (all_4_5 = e1) & inv(e2) = all_4_5 & $i(all_4_5)) % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | BETA: splitting (65) gives: % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | Case 1: % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | (66) ~ (all_4_4 = unit) & inv(e2) = all_4_5 & op(e2, % 23.23/3.98 | | | | | | | | all_4_5) = all_4_4 & $i(all_4_4) & $i(all_4_5) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | ALPHA: (66) implies: % 23.23/3.98 | | | | | | | | (67) ~ (all_4_4 = unit) % 23.23/3.98 | | | | | | | | (68) op(e2, all_4_5) = all_4_4 % 23.23/3.98 | | | | | | | | (69) inv(e2) = all_4_5 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (17), (67) imply: % 23.23/3.98 | | | | | | | | (70) ~ (all_4_4 = e0) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | GROUND_INST: instantiating (23) with e2, all_4_5, e2, % 23.23/3.98 | | | | | | | | simplifying with (20), (69) gives: % 23.23/3.98 | | | | | | | | (71) all_4_5 = e2 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (68), (71) imply: % 23.23/3.98 | | | | | | | | (72) op(e2, e2) = all_4_4 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_4, e2, e2, % 23.23/3.98 | | | | | | | | simplifying with (11), (72) gives: % 23.23/3.98 | | | | | | | | (73) all_4_4 = e0 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (70), (73) imply: % 23.23/3.98 | | | | | | | | (74) $false % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | CLOSE: (74) is inconsistent. % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | Case 2: % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | (75) ~ (all_4_5 = e3) & ~ (all_4_5 = e2) & ~ (all_4_5 = % 23.23/3.98 | | | | | | | | e0) & ~ (all_4_5 = e1) & inv(e2) = all_4_5 & % 23.23/3.98 | | | | | | | | $i(all_4_5) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | ALPHA: (75) implies: % 23.23/3.98 | | | | | | | | (76) ~ (all_4_5 = e2) % 23.23/3.98 | | | | | | | | (77) inv(e2) = all_4_5 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | GROUND_INST: instantiating (23) with e2, all_4_5, e2, % 23.23/3.98 | | | | | | | | simplifying with (20), (77) gives: % 23.23/3.98 | | | | | | | | (78) all_4_5 = e2 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (76), (78) imply: % 23.23/3.98 | | | | | | | | (79) $false % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | CLOSE: (79) is inconsistent. % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | End of split % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | End of split % 23.23/3.98 | | | | | | % 23.23/3.98 | | | | | End of split % 23.23/3.98 | | | | | % 23.23/3.98 | | | | Case 2: % 23.23/3.98 | | | | | % 23.23/3.98 | | | | | (80) ( ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = % 23.23/3.98 | | | | | all_4_6 & $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = unit) % 23.23/3.98 | | | | | & inv(e1) = all_4_8 & op(e1, all_4_8) = all_4_7 & % 23.23/3.98 | | | | | $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~ % 23.23/3.98 | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) & % 23.23/3.98 | | | | | inv(e1) = all_4_8 & $i(all_4_8)) | ( ~ (all_4_9 = unit) & % 23.23/3.98 | | | | | inv(e0) = all_4_11 & op(all_4_11, e0) = all_4_9 & % 23.23/3.98 | | | | | $i(all_4_9) & $i(all_4_11)) | ( ~ (all_4_10 = unit) & % 23.23/3.98 | | | | | inv(e0) = all_4_11 & op(e0, all_4_11) = all_4_10 & % 23.23/3.98 | | | | | $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11 = e3) & ~ % 23.23/3.98 | | | | | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1) & % 23.23/3.98 | | | | | inv(e0) = all_4_11 & $i(all_4_11)) % 23.23/3.98 | | | | | % 23.23/3.98 | | | | | BETA: splitting (80) gives: % 23.23/3.98 | | | | | % 23.23/3.98 | | | | | Case 1: % 23.23/3.98 | | | | | | % 23.23/3.98 | | | | | | (81) ( ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1) = % 23.23/3.98 | | | | | | all_4_6 & $i(all_4_6) & $i(all_4_8)) | ( ~ (all_4_7 = % 23.23/3.98 | | | | | | unit) & inv(e1) = all_4_8 & op(e1, all_4_8) = all_4_7 & % 23.23/3.98 | | | | | | $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = e3) & ~ % 23.23/3.98 | | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1) & % 23.23/3.98 | | | | | | inv(e1) = all_4_8 & $i(all_4_8)) % 23.23/3.98 | | | | | | % 23.23/3.98 | | | | | | BETA: splitting (81) gives: % 23.23/3.98 | | | | | | % 23.23/3.98 | | | | | | Case 1: % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | (82) ~ (all_4_6 = unit) & inv(e1) = all_4_8 & op(all_4_8, e1) % 23.23/3.98 | | | | | | | = all_4_6 & $i(all_4_6) & $i(all_4_8) % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | ALPHA: (82) implies: % 23.23/3.98 | | | | | | | (83) ~ (all_4_6 = unit) % 23.23/3.98 | | | | | | | (84) op(all_4_8, e1) = all_4_6 % 23.23/3.98 | | | | | | | (85) inv(e1) = all_4_8 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (17), (83) imply: % 23.23/3.98 | | | | | | | (86) ~ (all_4_6 = e0) % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | GROUND_INST: instantiating (23) with e1, all_4_8, e1, simplifying % 23.23/3.98 | | | | | | | with (18), (85) gives: % 23.23/3.98 | | | | | | | (87) all_4_8 = e1 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (84), (87) imply: % 23.23/3.98 | | | | | | | (88) op(e1, e1) = all_4_6 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_6, e1, e1, % 23.23/3.98 | | | | | | | simplifying with (1), (88) gives: % 23.23/3.98 | | | | | | | (89) all_4_6 = e0 % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | REDUCE: (86), (89) imply: % 23.23/3.98 | | | | | | | (90) $false % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | CLOSE: (90) is inconsistent. % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | Case 2: % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | (91) ( ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1, all_4_8) % 23.23/3.98 | | | | | | | = all_4_7 & $i(all_4_7) & $i(all_4_8)) | ( ~ (all_4_8 = % 23.23/3.98 | | | | | | | e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 23.23/3.98 | | | | | | | (all_4_8 = e1) & inv(e1) = all_4_8 & $i(all_4_8)) % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | BETA: splitting (91) gives: % 23.23/3.98 | | | | | | | % 23.23/3.98 | | | | | | | Case 1: % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | (92) ~ (all_4_7 = unit) & inv(e1) = all_4_8 & op(e1, % 23.23/3.98 | | | | | | | | all_4_8) = all_4_7 & $i(all_4_7) & $i(all_4_8) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | ALPHA: (92) implies: % 23.23/3.98 | | | | | | | | (93) ~ (all_4_7 = unit) % 23.23/3.98 | | | | | | | | (94) op(e1, all_4_8) = all_4_7 % 23.23/3.98 | | | | | | | | (95) inv(e1) = all_4_8 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (17), (93) imply: % 23.23/3.98 | | | | | | | | (96) ~ (all_4_7 = e0) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | GROUND_INST: instantiating (23) with e1, all_4_8, e1, % 23.23/3.98 | | | | | | | | simplifying with (18), (95) gives: % 23.23/3.98 | | | | | | | | (97) all_4_8 = e1 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (94), (97) imply: % 23.23/3.98 | | | | | | | | (98) op(e1, e1) = all_4_7 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_7, e1, e1, % 23.23/3.98 | | | | | | | | simplifying with (1), (98) gives: % 23.23/3.98 | | | | | | | | (99) all_4_7 = e0 % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | REDUCE: (96), (99) imply: % 23.23/3.98 | | | | | | | | (100) $false % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | CLOSE: (100) is inconsistent. % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | Case 2: % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | (101) ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = % 23.23/3.98 | | | | | | | | e0) & ~ (all_4_8 = e1) & inv(e1) = all_4_8 & % 23.23/3.98 | | | | | | | | $i(all_4_8) % 23.23/3.98 | | | | | | | | % 23.23/3.98 | | | | | | | | ALPHA: (101) implies: % 23.23/3.98 | | | | | | | | (102) ~ (all_4_8 = e1) % 23.23/3.99 | | | | | | | | (103) inv(e1) = all_4_8 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | GROUND_INST: instantiating (23) with e1, all_4_8, e1, % 23.23/3.99 | | | | | | | | simplifying with (18), (103) gives: % 23.23/3.99 | | | | | | | | (104) all_4_8 = e1 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (102), (104) imply: % 23.23/3.99 | | | | | | | | (105) $false % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | CLOSE: (105) is inconsistent. % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | End of split % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | End of split % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | Case 2: % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | (106) ( ~ (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11, % 23.23/3.99 | | | | | | e0) = all_4_9 & $i(all_4_9) & $i(all_4_11)) | ( ~ % 23.23/3.99 | | | | | | (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0, all_4_11) % 23.23/3.99 | | | | | | = all_4_10 & $i(all_4_10) & $i(all_4_11)) | ( ~ (all_4_11 % 23.23/3.99 | | | | | | = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ % 23.23/3.99 | | | | | | (all_4_11 = e1) & inv(e0) = all_4_11 & $i(all_4_11)) % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | BETA: splitting (106) gives: % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | Case 1: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | (107) ~ (all_4_9 = unit) & inv(e0) = all_4_11 & op(all_4_11, % 23.23/3.99 | | | | | | | e0) = all_4_9 & $i(all_4_9) & $i(all_4_11) % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | ALPHA: (107) implies: % 23.23/3.99 | | | | | | | (108) ~ (all_4_9 = unit) % 23.23/3.99 | | | | | | | (109) op(all_4_11, e0) = all_4_9 % 23.23/3.99 | | | | | | | (110) inv(e0) = all_4_11 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | REDUCE: (17), (108) imply: % 23.23/3.99 | | | | | | | (111) ~ (all_4_9 = e0) % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | GROUND_INST: instantiating (23) with e0, all_4_11, e0, simplifying % 23.23/3.99 | | | | | | | with (19), (110) gives: % 23.23/3.99 | | | | | | | (112) all_4_11 = e0 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | REDUCE: (109), (112) imply: % 23.23/3.99 | | | | | | | (113) op(e0, e0) = all_4_9 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_9, e0, e0, % 23.23/3.99 | | | | | | | simplifying with (6), (113) gives: % 23.23/3.99 | | | | | | | (114) all_4_9 = e0 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | REDUCE: (111), (114) imply: % 23.23/3.99 | | | | | | | (115) $false % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | CLOSE: (115) is inconsistent. % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | Case 2: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | (116) ( ~ (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0, % 23.23/3.99 | | | | | | | all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11)) | % 23.23/3.99 | | | | | | | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = % 23.23/3.99 | | | | | | | e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 & % 23.23/3.99 | | | | | | | $i(all_4_11)) % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | BETA: splitting (116) gives: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | Case 1: % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | (117) ~ (all_4_10 = unit) & inv(e0) = all_4_11 & op(e0, % 23.23/3.99 | | | | | | | | all_4_11) = all_4_10 & $i(all_4_10) & $i(all_4_11) % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | ALPHA: (117) implies: % 23.23/3.99 | | | | | | | | (118) ~ (all_4_10 = unit) % 23.23/3.99 | | | | | | | | (119) op(e0, all_4_11) = all_4_10 % 23.23/3.99 | | | | | | | | (120) inv(e0) = all_4_11 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (17), (118) imply: % 23.23/3.99 | | | | | | | | (121) ~ (all_4_10 = e0) % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | GROUND_INST: instantiating (23) with e0, all_4_11, e0, % 23.23/3.99 | | | | | | | | simplifying with (19), (120) gives: % 23.23/3.99 | | | | | | | | (122) all_4_11 = e0 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (119), (122) imply: % 23.23/3.99 | | | | | | | | (123) op(e0, e0) = all_4_10 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_10, e0, e0, % 23.23/3.99 | | | | | | | | simplifying with (6), (123) gives: % 23.23/3.99 | | | | | | | | (124) all_4_10 = e0 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (121), (124) imply: % 23.23/3.99 | | | | | | | | (125) $false % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | CLOSE: (125) is inconsistent. % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | Case 2: % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | (126) ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 % 23.23/3.99 | | | | | | | | = e0) & ~ (all_4_11 = e1) & inv(e0) = all_4_11 & % 23.23/3.99 | | | | | | | | $i(all_4_11) % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | ALPHA: (126) implies: % 23.23/3.99 | | | | | | | | (127) ~ (all_4_11 = e0) % 23.23/3.99 | | | | | | | | (128) inv(e0) = all_4_11 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | GROUND_INST: instantiating (23) with e0, all_4_11, e0, % 23.23/3.99 | | | | | | | | simplifying with (19), (128) gives: % 23.23/3.99 | | | | | | | | (129) all_4_11 = e0 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (127), (129) imply: % 23.23/3.99 | | | | | | | | (130) $false % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | CLOSE: (130) is inconsistent. % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | End of split % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | End of split % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | End of split % 23.23/3.99 | | | | | % 23.23/3.99 | | | | End of split % 23.23/3.99 | | | | % 23.23/3.99 | | | Case 2: % 23.23/3.99 | | | | % 23.23/3.99 | | | | (131) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12)) | % 23.23/3.99 | | | | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & $i(all_4_13)) | % 23.23/3.99 | | | | ( ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 & $i(all_4_14)) | % 23.23/3.99 | | | | ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & $i(all_4_15)) | % 23.23/3.99 | | | | ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & $i(all_4_16)) | % 23.23/3.99 | | | | ( ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 & $i(all_4_17)) | % 23.23/3.99 | | | | ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18)) | % 23.23/3.99 | | | | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & $i(all_4_19)) | % 23.23/3.99 | | | | ( ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21 & % 23.23/3.99 | | | | op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 & % 23.23/3.99 | | | | $i(all_4_20) & $i(all_4_21) & $i(all_4_160)) | ( ~ (all_4_22 % 23.23/3.99 | | | | = all_4_23) & op(all_4_160, e2) = all_4_23 & op(e3, % 23.23/3.99 | | | | all_4_148) = all_4_22 & op(e3, e3) = all_4_160 & op(e3, e2) % 23.23/3.99 | | | | = all_4_148 & $i(all_4_22) & $i(all_4_23) & $i(all_4_148) & % 23.23/3.99 | | | | $i(all_4_160)) | ( ~ (all_4_24 = all_4_25) & op(all_4_160, % 23.23/3.99 | | | | e1) = all_4_25 & op(e3, all_4_149) = all_4_24 & op(e3, e3) % 23.23/3.99 | | | | = all_4_160 & op(e3, e1) = all_4_149 & $i(all_4_24) & % 23.23/3.99 | | | | $i(all_4_25) & $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26 % 23.23/3.99 | | | | = all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3, % 23.23/3.99 | | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0) % 23.23/3.99 | | | | = all_4_150 & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) & % 23.23/3.99 | | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, % 23.23/3.99 | | | | e3) = all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, e2) % 23.23/3.99 | | | | = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) & % 23.23/3.99 | | | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151)) % 23.23/3.99 | | | | % 23.23/3.99 | | | | BETA: splitting (131) gives: % 23.23/3.99 | | | | % 23.23/3.99 | | | | Case 1: % 23.23/3.99 | | | | | % 23.23/3.99 | | | | | (132) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & $i(all_4_12)) % 23.23/3.99 | | | | | | ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & % 23.23/3.99 | | | | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = % 23.23/3.99 | | | | | all_4_14 & $i(all_4_14)) | ( ~ (all_4_15 = e2) & op(unit, % 23.23/3.99 | | | | | e2) = all_4_15 & $i(all_4_15)) | ( ~ (all_4_16 = e1) & % 23.23/3.99 | | | | | op(e1, unit) = all_4_16 & $i(all_4_16)) | ( ~ (all_4_17 = % 23.23/3.99 | | | | | e1) & op(unit, e1) = all_4_17 & $i(all_4_17)) % 23.23/3.99 | | | | | % 23.23/3.99 | | | | | BETA: splitting (132) gives: % 23.23/3.99 | | | | | % 23.23/3.99 | | | | | Case 1: % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | (133) ( ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & % 23.23/3.99 | | | | | | $i(all_4_12)) | ( ~ (all_4_13 = e3) & op(unit, e3) = % 23.23/3.99 | | | | | | all_4_13 & $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, % 23.23/3.99 | | | | | | unit) = all_4_14 & $i(all_4_14)) % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | BETA: splitting (133) gives: % 23.23/3.99 | | | | | | % 23.23/3.99 | | | | | | Case 1: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | (134) ~ (all_4_12 = e3) & op(e3, unit) = all_4_12 & % 23.23/3.99 | | | | | | | $i(all_4_12) % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | ALPHA: (134) implies: % 23.23/3.99 | | | | | | | (135) ~ (all_4_12 = e3) % 23.23/3.99 | | | | | | | (136) op(e3, unit) = all_4_12 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | REDUCE: (17), (136) imply: % 23.23/3.99 | | | | | | | (137) op(e3, e0) = all_4_12 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_12, e0, e3, % 23.23/3.99 | | | | | | | simplifying with (14), (137) gives: % 23.23/3.99 | | | | | | | (138) all_4_12 = e3 % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | REDUCE: (135), (138) imply: % 23.23/3.99 | | | | | | | (139) $false % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | CLOSE: (139) is inconsistent. % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | Case 2: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | (140) ( ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & % 23.23/3.99 | | | | | | | $i(all_4_13)) | ( ~ (all_4_14 = e2) & op(e2, unit) = % 23.23/3.99 | | | | | | | all_4_14 & $i(all_4_14)) % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | BETA: splitting (140) gives: % 23.23/3.99 | | | | | | | % 23.23/3.99 | | | | | | | Case 1: % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | (141) ~ (all_4_13 = e3) & op(unit, e3) = all_4_13 & % 23.23/3.99 | | | | | | | | $i(all_4_13) % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | ALPHA: (141) implies: % 23.23/3.99 | | | | | | | | (142) ~ (all_4_13 = e3) % 23.23/3.99 | | | | | | | | (143) op(unit, e3) = all_4_13 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (17), (143) imply: % 23.23/3.99 | | | | | | | | (144) op(e0, e3) = all_4_13 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_13, e3, e0, % 23.23/3.99 | | | | | | | | simplifying with (8), (144) gives: % 23.23/3.99 | | | | | | | | (145) all_4_13 = e3 % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | REDUCE: (142), (145) imply: % 23.23/3.99 | | | | | | | | (146) $false % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | CLOSE: (146) is inconsistent. % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | Case 2: % 23.23/3.99 | | | | | | | | % 23.23/3.99 | | | | | | | | (147) ~ (all_4_14 = e2) & op(e2, unit) = all_4_14 & % 23.23/3.99 | | | | | | | | $i(all_4_14) % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | ALPHA: (147) implies: % 23.23/4.00 | | | | | | | | (148) ~ (all_4_14 = e2) % 23.23/4.00 | | | | | | | | (149) op(e2, unit) = all_4_14 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (17), (149) imply: % 23.23/4.00 | | | | | | | | (150) op(e2, e0) = all_4_14 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_14, e0, e2, % 23.23/4.00 | | | | | | | | simplifying with (10), (150) gives: % 23.23/4.00 | | | | | | | | (151) all_4_14 = e2 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (148), (151) imply: % 23.23/4.00 | | | | | | | | (152) $false % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | CLOSE: (152) is inconsistent. % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | End of split % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | End of split % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | Case 2: % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | (153) ( ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & % 23.23/4.00 | | | | | | $i(all_4_15)) | ( ~ (all_4_16 = e1) & op(e1, unit) = % 23.23/4.00 | | | | | | all_4_16 & $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, % 23.23/4.00 | | | | | | e1) = all_4_17 & $i(all_4_17)) % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | BETA: splitting (153) gives: % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | Case 1: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | (154) ~ (all_4_15 = e2) & op(unit, e2) = all_4_15 & % 23.23/4.00 | | | | | | | $i(all_4_15) % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | ALPHA: (154) implies: % 23.23/4.00 | | | | | | | (155) ~ (all_4_15 = e2) % 23.23/4.00 | | | | | | | (156) op(unit, e2) = all_4_15 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | REDUCE: (17), (156) imply: % 23.23/4.00 | | | | | | | (157) op(e0, e2) = all_4_15 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_15, e2, e0, % 23.23/4.00 | | | | | | | simplifying with (7), (157) gives: % 23.23/4.00 | | | | | | | (158) all_4_15 = e2 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | REDUCE: (155), (158) imply: % 23.23/4.00 | | | | | | | (159) $false % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | CLOSE: (159) is inconsistent. % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | Case 2: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | (160) ( ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & % 23.23/4.00 | | | | | | | $i(all_4_16)) | ( ~ (all_4_17 = e1) & op(unit, e1) = % 23.23/4.00 | | | | | | | all_4_17 & $i(all_4_17)) % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | BETA: splitting (160) gives: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | Case 1: % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | (161) ~ (all_4_16 = e1) & op(e1, unit) = all_4_16 & % 23.23/4.00 | | | | | | | | $i(all_4_16) % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | ALPHA: (161) implies: % 23.23/4.00 | | | | | | | | (162) ~ (all_4_16 = e1) % 23.23/4.00 | | | | | | | | (163) op(e1, unit) = all_4_16 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (17), (163) imply: % 23.23/4.00 | | | | | | | | (164) op(e1, e0) = all_4_16 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_16, e0, e1, % 23.23/4.00 | | | | | | | | simplifying with (2), (164) gives: % 23.23/4.00 | | | | | | | | (165) all_4_16 = e1 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (162), (165) imply: % 23.23/4.00 | | | | | | | | (166) $false % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | CLOSE: (166) is inconsistent. % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | Case 2: % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | (167) ~ (all_4_17 = e1) & op(unit, e1) = all_4_17 & % 23.23/4.00 | | | | | | | | $i(all_4_17) % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | ALPHA: (167) implies: % 23.23/4.00 | | | | | | | | (168) ~ (all_4_17 = e1) % 23.23/4.00 | | | | | | | | (169) op(unit, e1) = all_4_17 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (17), (169) imply: % 23.23/4.00 | | | | | | | | (170) op(e0, e1) = all_4_17 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_17, e1, e0, % 23.23/4.00 | | | | | | | | simplifying with (5), (170) gives: % 23.23/4.00 | | | | | | | | (171) all_4_17 = e1 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (168), (171) imply: % 23.23/4.00 | | | | | | | | (172) $false % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | CLOSE: (172) is inconsistent. % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | End of split % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | End of split % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | End of split % 23.23/4.00 | | | | | % 23.23/4.00 | | | | Case 2: % 23.23/4.00 | | | | | % 23.23/4.00 | | | | | (173) ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & $i(all_4_18)) % 23.23/4.00 | | | | | | ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & % 23.23/4.00 | | | | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & op(all_4_160, % 23.23/4.00 | | | | | e3) = all_4_21 & op(e3, all_4_160) = all_4_20 & op(e3, % 23.23/4.00 | | | | | e3) = all_4_160 & $i(all_4_20) & $i(all_4_21) & % 23.23/4.00 | | | | | $i(all_4_160)) | ( ~ (all_4_22 = all_4_23) & op(all_4_160, % 23.23/4.00 | | | | | e2) = all_4_23 & op(e3, all_4_148) = all_4_22 & op(e3, % 23.23/4.00 | | | | | e3) = all_4_160 & op(e3, e2) = all_4_148 & $i(all_4_22) & % 23.23/4.00 | | | | | $i(all_4_23) & $i(all_4_148) & $i(all_4_160)) | ( ~ % 23.23/4.00 | | | | | (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 & % 23.23/4.00 | | | | | op(e3, all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & % 23.23/4.00 | | | | | op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) & % 23.23/4.00 | | | | | $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26 = all_4_27) % 23.23/4.00 | | | | | & op(all_4_160, e0) = all_4_27 & op(e3, all_4_150) = % 23.23/4.00 | | | | | all_4_26 & op(e3, e3) = all_4_160 & op(e3, e0) = all_4_150 % 23.23/4.00 | | | | | & $i(all_4_26) & $i(all_4_27) & $i(all_4_150) & % 23.23/4.00 | | | | | $i(all_4_160)) | ( ~ (all_4_28 = all_4_29) & op(all_4_148, % 23.23/4.00 | | | | | e3) = all_4_29 & op(e3, all_4_151) = all_4_28 & op(e3, % 23.23/4.00 | | | | | e2) = all_4_148 & op(e2, e3) = all_4_151 & $i(all_4_28) & % 23.23/4.00 | | | | | $i(all_4_29) & $i(all_4_148) & $i(all_4_151)) % 23.23/4.00 | | | | | % 23.23/4.00 | | | | | BETA: splitting (173) gives: % 23.23/4.00 | | | | | % 23.23/4.00 | | | | | Case 1: % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | (174) ( ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & % 23.23/4.00 | | | | | | $i(all_4_18)) | ( ~ (all_4_19 = e0) & op(unit, e0) = % 23.23/4.00 | | | | | | all_4_19 & $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & % 23.23/4.00 | | | | | | op(all_4_160, e3) = all_4_21 & op(e3, all_4_160) = % 23.23/4.00 | | | | | | all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20) & % 23.23/4.00 | | | | | | $i(all_4_21) & $i(all_4_160)) % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | BETA: splitting (174) gives: % 23.23/4.00 | | | | | | % 23.23/4.00 | | | | | | Case 1: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | (175) ~ (all_4_18 = e0) & op(e0, unit) = all_4_18 & % 23.23/4.00 | | | | | | | $i(all_4_18) % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | ALPHA: (175) implies: % 23.23/4.00 | | | | | | | (176) ~ (all_4_18 = e0) % 23.23/4.00 | | | | | | | (177) op(e0, unit) = all_4_18 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | REDUCE: (17), (177) imply: % 23.23/4.00 | | | | | | | (178) op(e0, e0) = all_4_18 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_18, e0, e0, % 23.23/4.00 | | | | | | | simplifying with (6), (178) gives: % 23.23/4.00 | | | | | | | (179) all_4_18 = e0 % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | REDUCE: (176), (179) imply: % 23.23/4.00 | | | | | | | (180) $false % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | CLOSE: (180) is inconsistent. % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | Case 2: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | (181) ( ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & % 23.23/4.00 | | | | | | | $i(all_4_19)) | ( ~ (all_4_20 = all_4_21) & % 23.23/4.00 | | | | | | | op(all_4_160, e3) = all_4_21 & op(e3, all_4_160) = % 23.23/4.00 | | | | | | | all_4_20 & op(e3, e3) = all_4_160 & $i(all_4_20) & % 23.23/4.00 | | | | | | | $i(all_4_21) & $i(all_4_160)) % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | BETA: splitting (181) gives: % 23.23/4.00 | | | | | | | % 23.23/4.00 | | | | | | | Case 1: % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | (182) ~ (all_4_19 = e0) & op(unit, e0) = all_4_19 & % 23.23/4.00 | | | | | | | | $i(all_4_19) % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | ALPHA: (182) implies: % 23.23/4.00 | | | | | | | | (183) ~ (all_4_19 = e0) % 23.23/4.00 | | | | | | | | (184) op(unit, e0) = all_4_19 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (17), (184) imply: % 23.23/4.00 | | | | | | | | (185) op(e0, e0) = all_4_19 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_19, e0, e0, % 23.23/4.00 | | | | | | | | simplifying with (6), (185) gives: % 23.23/4.00 | | | | | | | | (186) all_4_19 = e0 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (183), (186) imply: % 23.23/4.00 | | | | | | | | (187) $false % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | CLOSE: (187) is inconsistent. % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | Case 2: % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | (188) ~ (all_4_20 = all_4_21) & op(all_4_160, e3) = all_4_21 % 23.23/4.00 | | | | | | | | & op(e3, all_4_160) = all_4_20 & op(e3, e3) = all_4_160 % 23.23/4.00 | | | | | | | | & $i(all_4_20) & $i(all_4_21) & $i(all_4_160) % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | ALPHA: (188) implies: % 23.23/4.00 | | | | | | | | (189) ~ (all_4_20 = all_4_21) % 23.23/4.00 | | | | | | | | (190) op(e3, e3) = all_4_160 % 23.23/4.00 | | | | | | | | (191) op(e3, all_4_160) = all_4_20 % 23.23/4.00 | | | | | | | | (192) op(all_4_160, e3) = all_4_21 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.23/4.00 | | | | | | | | simplifying with (16), (190) gives: % 23.23/4.00 | | | | | | | | (193) all_4_160 = e0 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (192), (193) imply: % 23.23/4.00 | | | | | | | | (194) op(e0, e3) = all_4_21 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (191), (193) imply: % 23.23/4.00 | | | | | | | | (195) op(e3, e0) = all_4_20 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_21, e3, e0, % 23.23/4.00 | | | | | | | | simplifying with (8), (194) gives: % 23.23/4.00 | | | | | | | | (196) all_4_21 = e3 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_20, e0, e3, % 23.23/4.00 | | | | | | | | simplifying with (14), (195) gives: % 23.23/4.00 | | | | | | | | (197) all_4_20 = e3 % 23.23/4.00 | | | | | | | | % 23.23/4.00 | | | | | | | | REDUCE: (189), (196), (197) imply: % 23.23/4.01 | | | | | | | | (198) $false % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | CLOSE: (198) is inconsistent. % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | End of split % 23.23/4.01 | | | | | | | % 23.23/4.01 | | | | | | End of split % 23.23/4.01 | | | | | | % 23.23/4.01 | | | | | Case 2: % 23.23/4.01 | | | | | | % 23.23/4.01 | | | | | | (199) ( ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23 & % 23.23/4.01 | | | | | | op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160 & % 23.23/4.01 | | | | | | op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23) & % 23.23/4.01 | | | | | | $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 = % 23.23/4.01 | | | | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, % 23.23/4.01 | | | | | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & op(e3, % 23.23/4.01 | | | | | | e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) & % 23.23/4.01 | | | | | | $i(all_4_149) & $i(all_4_160)) | ( ~ (all_4_26 = % 23.23/4.01 | | | | | | all_4_27) & op(all_4_160, e0) = all_4_27 & op(e3, % 23.23/4.01 | | | | | | all_4_150) = all_4_26 & op(e3, e3) = all_4_160 & op(e3, % 23.23/4.01 | | | | | | e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) & % 23.23/4.01 | | | | | | $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 = % 23.23/4.01 | | | | | | all_4_29) & op(all_4_148, e3) = all_4_29 & op(e3, % 23.23/4.01 | | | | | | all_4_151) = all_4_28 & op(e3, e2) = all_4_148 & op(e2, % 23.23/4.01 | | | | | | e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) & % 23.23/4.01 | | | | | | $i(all_4_148) & $i(all_4_151)) % 23.23/4.01 | | | | | | % 23.23/4.01 | | | | | | BETA: splitting (199) gives: % 23.23/4.01 | | | | | | % 23.23/4.01 | | | | | | Case 1: % 23.23/4.01 | | | | | | | % 23.23/4.01 | | | | | | | (200) ( ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23 % 23.23/4.01 | | | | | | | & op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160 % 23.23/4.01 | | | | | | | & op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23) % 23.23/4.01 | | | | | | | & $i(all_4_148) & $i(all_4_160)) | ( ~ (all_4_24 = % 23.23/4.01 | | | | | | | all_4_25) & op(all_4_160, e1) = all_4_25 & op(e3, % 23.23/4.01 | | | | | | | all_4_149) = all_4_24 & op(e3, e3) = all_4_160 & % 23.23/4.01 | | | | | | | op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) & % 23.23/4.01 | | | | | | | $i(all_4_149) & $i(all_4_160)) % 23.23/4.01 | | | | | | | % 23.23/4.01 | | | | | | | BETA: splitting (200) gives: % 23.23/4.01 | | | | | | | % 23.23/4.01 | | | | | | | Case 1: % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | (201) ~ (all_4_22 = all_4_23) & op(all_4_160, e2) = all_4_23 % 23.23/4.01 | | | | | | | | & op(e3, all_4_148) = all_4_22 & op(e3, e3) = all_4_160 % 23.23/4.01 | | | | | | | | & op(e3, e2) = all_4_148 & $i(all_4_22) & $i(all_4_23) % 23.23/4.01 | | | | | | | | & $i(all_4_148) & $i(all_4_160) % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | ALPHA: (201) implies: % 23.23/4.01 | | | | | | | | (202) ~ (all_4_22 = all_4_23) % 23.23/4.01 | | | | | | | | (203) op(e3, e2) = all_4_148 % 23.23/4.01 | | | | | | | | (204) op(e3, e3) = all_4_160 % 23.23/4.01 | | | | | | | | (205) op(e3, all_4_148) = all_4_22 % 23.23/4.01 | | | | | | | | (206) op(all_4_160, e2) = all_4_23 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.01 | | | | | | | | simplifying with (15), (203) gives: % 23.23/4.01 | | | | | | | | (207) all_4_148 = e1 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.23/4.01 | | | | | | | | simplifying with (16), (204) gives: % 23.23/4.01 | | | | | | | | (208) all_4_160 = e0 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | REDUCE: (206), (208) imply: % 23.23/4.01 | | | | | | | | (209) op(e0, e2) = all_4_23 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | REDUCE: (205), (207) imply: % 23.23/4.01 | | | | | | | | (210) op(e3, e1) = all_4_22 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_23, e2, e0, % 23.23/4.01 | | | | | | | | simplifying with (7), (209) gives: % 23.23/4.01 | | | | | | | | (211) all_4_23 = e2 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_22, e1, e3, % 23.23/4.01 | | | | | | | | simplifying with (13), (210) gives: % 23.23/4.01 | | | | | | | | (212) all_4_22 = e2 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | REDUCE: (202), (211), (212) imply: % 23.23/4.01 | | | | | | | | (213) $false % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | CLOSE: (213) is inconsistent. % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | Case 2: % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | (214) ~ (all_4_24 = all_4_25) & op(all_4_160, e1) = all_4_25 % 23.23/4.01 | | | | | | | | & op(e3, all_4_149) = all_4_24 & op(e3, e3) = all_4_160 % 23.23/4.01 | | | | | | | | & op(e3, e1) = all_4_149 & $i(all_4_24) & $i(all_4_25) % 23.23/4.01 | | | | | | | | & $i(all_4_149) & $i(all_4_160) % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | ALPHA: (214) implies: % 23.23/4.01 | | | | | | | | (215) ~ (all_4_24 = all_4_25) % 23.23/4.01 | | | | | | | | (216) op(e3, e1) = all_4_149 % 23.23/4.01 | | | | | | | | (217) op(e3, e3) = all_4_160 % 23.23/4.01 | | | | | | | | (218) op(e3, all_4_149) = all_4_24 % 23.23/4.01 | | | | | | | | (219) op(all_4_160, e1) = all_4_25 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.01 | | | | | | | | simplifying with (13), (216) gives: % 23.23/4.01 | | | | | | | | (220) all_4_149 = e2 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.23/4.01 | | | | | | | | simplifying with (16), (217) gives: % 23.23/4.01 | | | | | | | | (221) all_4_160 = e0 % 23.23/4.01 | | | | | | | | % 23.23/4.01 | | | | | | | | REDUCE: (219), (221) imply: % 23.23/4.02 | | | | | | | | (222) op(e0, e1) = all_4_25 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (218), (220) imply: % 23.23/4.02 | | | | | | | | (223) op(e3, e2) = all_4_24 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_25, e1, e0, % 23.23/4.02 | | | | | | | | simplifying with (5), (222) gives: % 23.23/4.02 | | | | | | | | (224) all_4_25 = e1 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_24, e2, e3, % 23.23/4.02 | | | | | | | | simplifying with (15), (223) gives: % 23.23/4.02 | | | | | | | | (225) all_4_24 = e1 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (215), (224), (225) imply: % 23.23/4.02 | | | | | | | | (226) $false % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | CLOSE: (226) is inconsistent. % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | End of split % 23.23/4.02 | | | | | | | % 23.23/4.02 | | | | | | Case 2: % 23.23/4.02 | | | | | | | % 23.23/4.02 | | | | | | | (227) ( ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27 % 23.23/4.02 | | | | | | | & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 % 23.23/4.02 | | | | | | | & op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) % 23.23/4.02 | | | | | | | & $i(all_4_150) & $i(all_4_160)) | ( ~ (all_4_28 = % 23.23/4.02 | | | | | | | all_4_29) & op(all_4_148, e3) = all_4_29 & op(e3, % 23.23/4.02 | | | | | | | all_4_151) = all_4_28 & op(e3, e2) = all_4_148 & % 23.23/4.02 | | | | | | | op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) & % 23.23/4.02 | | | | | | | $i(all_4_148) & $i(all_4_151)) % 23.23/4.02 | | | | | | | % 23.23/4.02 | | | | | | | BETA: splitting (227) gives: % 23.23/4.02 | | | | | | | % 23.23/4.02 | | | | | | | Case 1: % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | (228) ~ (all_4_26 = all_4_27) & op(all_4_160, e0) = all_4_27 % 23.23/4.02 | | | | | | | | & op(e3, all_4_150) = all_4_26 & op(e3, e3) = all_4_160 % 23.23/4.02 | | | | | | | | & op(e3, e0) = all_4_150 & $i(all_4_26) & $i(all_4_27) % 23.23/4.02 | | | | | | | | & $i(all_4_150) & $i(all_4_160) % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | ALPHA: (228) implies: % 23.23/4.02 | | | | | | | | (229) ~ (all_4_26 = all_4_27) % 23.23/4.02 | | | | | | | | (230) op(e3, e0) = all_4_150 % 23.23/4.02 | | | | | | | | (231) op(e3, e3) = all_4_160 % 23.23/4.02 | | | | | | | | (232) op(e3, all_4_150) = all_4_26 % 23.23/4.02 | | | | | | | | (233) op(all_4_160, e0) = all_4_27 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.02 | | | | | | | | simplifying with (14), (230) gives: % 23.23/4.02 | | | | | | | | (234) all_4_150 = e3 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.23/4.02 | | | | | | | | simplifying with (16), (231) gives: % 23.23/4.02 | | | | | | | | (235) all_4_160 = e0 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (233), (235) imply: % 23.23/4.02 | | | | | | | | (236) op(e0, e0) = all_4_27 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (232), (234) imply: % 23.23/4.02 | | | | | | | | (237) op(e3, e3) = all_4_26 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_27, e0, e0, % 23.23/4.02 | | | | | | | | simplifying with (6), (236) gives: % 23.23/4.02 | | | | | | | | (238) all_4_27 = e0 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_26, e3, e3, % 23.23/4.02 | | | | | | | | simplifying with (16), (237) gives: % 23.23/4.02 | | | | | | | | (239) all_4_26 = e0 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (229), (238), (239) imply: % 23.23/4.02 | | | | | | | | (240) $false % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | CLOSE: (240) is inconsistent. % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | Case 2: % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | (241) ~ (all_4_28 = all_4_29) & op(all_4_148, e3) = all_4_29 % 23.23/4.02 | | | | | | | | & op(e3, all_4_151) = all_4_28 & op(e3, e2) = all_4_148 % 23.23/4.02 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_28) & $i(all_4_29) % 23.23/4.02 | | | | | | | | & $i(all_4_148) & $i(all_4_151) % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | ALPHA: (241) implies: % 23.23/4.02 | | | | | | | | (242) ~ (all_4_28 = all_4_29) % 23.23/4.02 | | | | | | | | (243) op(e2, e3) = all_4_151 % 23.23/4.02 | | | | | | | | (244) op(e3, e2) = all_4_148 % 23.23/4.02 | | | | | | | | (245) op(e3, all_4_151) = all_4_28 % 23.23/4.02 | | | | | | | | (246) op(all_4_148, e3) = all_4_29 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.02 | | | | | | | | simplifying with (12), (243) gives: % 23.23/4.02 | | | | | | | | (247) all_4_151 = e1 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.02 | | | | | | | | simplifying with (15), (244) gives: % 23.23/4.02 | | | | | | | | (248) all_4_148 = e1 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (246), (248) imply: % 23.23/4.02 | | | | | | | | (249) op(e1, e3) = all_4_29 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (245), (247) imply: % 23.23/4.02 | | | | | | | | (250) op(e3, e1) = all_4_28 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_29, e3, e1, % 23.23/4.02 | | | | | | | | simplifying with (4), (249) gives: % 23.23/4.02 | | | | | | | | (251) all_4_29 = e2 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_28, e1, e3, % 23.23/4.02 | | | | | | | | simplifying with (13), (250) gives: % 23.23/4.02 | | | | | | | | (252) all_4_28 = e2 % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | REDUCE: (242), (251), (252) imply: % 23.23/4.02 | | | | | | | | (253) $false % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | | CLOSE: (253) is inconsistent. % 23.23/4.02 | | | | | | | | % 23.23/4.02 | | | | | | | End of split % 23.23/4.02 | | | | | | | % 23.23/4.02 | | | | | | End of split % 23.23/4.02 | | | | | | % 23.23/4.02 | | | | | End of split % 23.23/4.02 | | | | | % 23.23/4.02 | | | | End of split % 23.23/4.02 | | | | % 23.23/4.02 | | | End of split % 23.23/4.02 | | | % 23.23/4.02 | | Case 2: % 23.23/4.02 | | | % 23.23/4.02 | | | (254) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & op(e3, % 23.23/4.02 | | | all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & op(e2, e2) = % 23.23/4.02 | | | all_4_161 & $i(all_4_30) & $i(all_4_31) & $i(all_4_148) & % 23.23/4.02 | | | $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1) % 23.23/4.02 | | | = all_4_33 & op(e3, all_4_152) = all_4_32 & op(e3, e2) = % 23.23/4.02 | | | all_4_148 & op(e2, e1) = all_4_152 & $i(all_4_32) & % 23.23/4.02 | | | $i(all_4_33) & $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 = % 23.23/4.02 | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3, all_4_153) % 23.23/4.02 | | | = all_4_34 & op(e3, e2) = all_4_148 & op(e2, e0) = all_4_153 & % 23.23/4.02 | | | $i(all_4_34) & $i(all_4_35) & $i(all_4_148) & $i(all_4_153)) | % 23.23/4.02 | | | ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 & op(e3, % 23.23/4.02 | | | all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & op(e1, e3) = % 23.23/4.02 | | | all_4_154 & $i(all_4_36) & $i(all_4_37) & $i(all_4_149) & % 23.23/4.02 | | | $i(all_4_154)) | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) % 23.23/4.02 | | | = all_4_39 & op(e3, all_4_155) = all_4_38 & op(e3, e1) = % 23.23/4.02 | | | all_4_149 & op(e1, e2) = all_4_155 & $i(all_4_38) & % 23.23/4.02 | | | $i(all_4_39) & $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 = % 23.23/4.02 | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3, all_4_162) % 23.23/4.02 | | | = all_4_40 & op(e3, e1) = all_4_149 & op(e1, e1) = all_4_162 & % 23.23/4.02 | | | $i(all_4_40) & $i(all_4_41) & $i(all_4_149) & $i(all_4_162)) | % 23.23/4.02 | | | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & op(e3, % 23.23/4.02 | | | all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & op(e1, e0) = % 23.23/4.02 | | | all_4_156 & $i(all_4_42) & $i(all_4_43) & $i(all_4_149) & % 23.23/4.02 | | | $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3) % 23.23/4.02 | | | = all_4_45 & op(e3, all_4_157) = all_4_44 & op(e3, e0) = % 23.23/4.02 | | | all_4_150 & op(e0, e3) = all_4_157 & $i(all_4_44) & % 23.23/4.02 | | | $i(all_4_45) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 = % 23.23/4.02 | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, all_4_158) % 23.23/4.02 | | | = all_4_46 & op(e3, e0) = all_4_150 & op(e0, e2) = all_4_158 & % 23.23/4.02 | | | $i(all_4_46) & $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) | % 23.23/4.02 | | | ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & op(e3, % 23.23/4.02 | | | all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & op(e0, e1) = % 23.23/4.02 | | | all_4_159 & $i(all_4_48) & $i(all_4_49) & $i(all_4_150) & % 23.23/4.02 | | | $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) % 23.23/4.02 | | | = all_4_51 & op(e3, all_4_163) = all_4_50 & op(e3, e0) = % 23.23/4.02 | | | all_4_150 & op(e0, e0) = all_4_163 & $i(all_4_50) & % 23.23/4.02 | | | $i(all_4_51) & $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = % 23.23/4.02 | | | all_4_53) & op(all_4_151, e3) = all_4_53 & op(e3, e3) = % 23.23/4.02 | | | all_4_160 & op(e2, all_4_160) = all_4_52 & op(e2, e3) = % 23.23/4.02 | | | all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151) & % 23.23/4.02 | | | $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) % 23.23/4.02 | | | = all_4_55 & op(e3, e2) = all_4_148 & op(e2, all_4_148) = % 23.23/4.02 | | | all_4_54 & op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) % 23.23/4.02 | | | & $i(all_4_148) & $i(all_4_151)) | ( ~ (all_4_56 = all_4_57) & % 23.23/4.02 | | | op(all_4_151, e1) = all_4_57 & op(e3, e1) = all_4_149 & op(e2, % 23.23/4.02 | | | all_4_149) = all_4_56 & op(e2, e3) = all_4_151 & $i(all_4_56) % 23.23/4.02 | | | & $i(all_4_57) & $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58 % 23.23/4.02 | | | = all_4_59) & op(all_4_151, e0) = all_4_59 & op(e3, e0) = % 23.23/4.02 | | | all_4_150 & op(e2, all_4_150) = all_4_58 & op(e2, e3) = % 23.23/4.02 | | | all_4_151 & $i(all_4_58) & $i(all_4_59) & $i(all_4_150) & % 23.23/4.02 | | | $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3) % 23.23/4.02 | | | = all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2, e3) = % 23.23/4.02 | | | all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) & % 23.23/4.02 | | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 = % 23.23/4.02 | | | all_4_63) & op(all_4_161, e2) = all_4_63 & op(e2, all_4_161) % 23.23/4.02 | | | = all_4_62 & op(e2, e2) = all_4_161 & $i(all_4_62) & % 23.23/4.02 | | | $i(all_4_63) & $i(all_4_161)) | ( ~ (all_4_64 = all_4_65) & % 23.23/4.02 | | | op(all_4_161, e1) = all_4_65 & op(e2, all_4_152) = all_4_64 & % 23.23/4.02 | | | op(e2, e2) = all_4_161 & op(e2, e1) = all_4_152 & $i(all_4_64) % 23.23/4.02 | | | & $i(all_4_65) & $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 % 23.23/4.02 | | | = all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2, % 23.23/4.02 | | | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) = % 23.23/4.02 | | | all_4_153 & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) & % 23.23/4.02 | | | $i(all_4_161)) | ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) % 23.23/4.02 | | | = all_4_69 & op(e2, all_4_154) = all_4_68 & op(e2, e1) = % 23.23/4.02 | | | all_4_152 & op(e1, e3) = all_4_154 & $i(all_4_68) & % 23.23/4.02 | | | $i(all_4_69) & $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 = % 23.23/4.02 | | | all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2, all_4_155) % 23.23/4.02 | | | = all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) = all_4_155 & % 23.23/4.02 | | | $i(all_4_70) & $i(all_4_71) & $i(all_4_152) & $i(all_4_155)) | % 23.23/4.02 | | | ( ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73 & op(e2, % 23.23/4.02 | | | all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & op(e1, e1) = % 23.23/4.02 | | | all_4_162 & $i(all_4_72) & $i(all_4_73) & $i(all_4_152) & % 23.23/4.02 | | | $i(all_4_162)) | ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0) % 23.23/4.02 | | | = all_4_75 & op(e2, all_4_156) = all_4_74 & op(e2, e1) = % 23.23/4.02 | | | all_4_152 & op(e1, e0) = all_4_156 & $i(all_4_74) & % 23.23/4.02 | | | $i(all_4_75) & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 = % 23.23/4.02 | | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, all_4_157) % 23.23/4.02 | | | = all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3) = all_4_157 & % 23.23/4.02 | | | $i(all_4_76) & $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) | % 23.23/4.02 | | | ( ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2, % 23.23/4.02 | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, e2) = % 23.23/4.02 | | | all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) & % 23.23/4.02 | | | $i(all_4_158)) | ( ~ (all_4_80 = all_4_81) & op(all_4_153, e1) % 23.23/4.02 | | | = all_4_81 & op(e2, all_4_159) = all_4_80 & op(e2, e0) = % 23.23/4.02 | | | all_4_153 & op(e0, e1) = all_4_159 & $i(all_4_80) & % 23.23/4.02 | | | $i(all_4_81) & $i(all_4_153) & $i(all_4_159)) % 23.23/4.02 | | | % 23.23/4.02 | | | BETA: splitting (254) gives: % 23.23/4.02 | | | % 23.23/4.02 | | | Case 1: % 23.23/4.02 | | | | % 23.23/4.02 | | | | (255) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & % 23.23/4.02 | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & % 23.23/4.02 | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & % 23.23/4.02 | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) & % 23.23/4.02 | | | | op(all_4_148, e1) = all_4_33 & op(e3, all_4_152) = all_4_32 & % 23.23/4.02 | | | | op(e3, e2) = all_4_148 & op(e2, e1) = all_4_152 & % 23.23/4.02 | | | | $i(all_4_32) & $i(all_4_33) & $i(all_4_148) & $i(all_4_152)) % 23.23/4.02 | | | | | ( ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = all_4_35 & % 23.23/4.02 | | | | op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & % 23.23/4.02 | | | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & % 23.23/4.02 | | | | $i(all_4_148) & $i(all_4_153)) | ( ~ (all_4_36 = all_4_37) & % 23.23/4.02 | | | | op(all_4_149, e3) = all_4_37 & op(e3, all_4_154) = all_4_36 & % 23.23/4.02 | | | | op(e3, e1) = all_4_149 & op(e1, e3) = all_4_154 & % 23.23/4.02 | | | | $i(all_4_36) & $i(all_4_37) & $i(all_4_149) & $i(all_4_154)) % 23.23/4.02 | | | | | ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39 & % 23.23/4.02 | | | | op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 & % 23.23/4.02 | | | | op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) & % 23.23/4.02 | | | | $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) & % 23.23/4.02 | | | | op(all_4_149, e1) = all_4_41 & op(e3, all_4_162) = all_4_40 & % 23.23/4.02 | | | | op(e3, e1) = all_4_149 & op(e1, e1) = all_4_162 & % 23.23/4.02 | | | | $i(all_4_40) & $i(all_4_41) & $i(all_4_149) & $i(all_4_162)) % 23.23/4.02 | | | | | ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & % 23.23/4.02 | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/4.02 | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & % 23.23/4.02 | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) & % 23.23/4.02 | | | | op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) = all_4_44 & % 23.23/4.02 | | | | op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157 & % 23.23/4.02 | | | | $i(all_4_44) & $i(all_4_45) & $i(all_4_150) & $i(all_4_157)) % 23.23/4.02 | | | | | ( ~ (all_4_46 = all_4_47) & op(all_4_150, e2) = all_4_47 & % 23.23/4.02 | | | | op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150 & % 23.23/4.02 | | | | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) & % 23.23/4.02 | | | | $i(all_4_150) & $i(all_4_158)) | ( ~ (all_4_48 = all_4_49) & % 23.23/4.02 | | | | op(all_4_150, e1) = all_4_49 & op(e3, all_4_159) = all_4_48 & % 23.23/4.02 | | | | op(e3, e0) = all_4_150 & op(e0, e1) = all_4_159 & % 23.23/4.02 | | | | $i(all_4_48) & $i(all_4_49) & $i(all_4_150) & $i(all_4_159)) % 23.23/4.02 | | | | | ( ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = all_4_51 & % 23.23/4.02 | | | | op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & % 23.23/4.02 | | | | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & % 23.23/4.02 | | | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & % 23.23/4.02 | | | | op(all_4_151, e3) = all_4_53 & op(e3, e3) = all_4_160 & % 23.23/4.02 | | | | op(e2, all_4_160) = all_4_52 & op(e2, e3) = all_4_151 & % 23.23/4.02 | | | | $i(all_4_52) & $i(all_4_53) & $i(all_4_151) & $i(all_4_160)) % 23.23/4.02 | | | | | ( ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 & % 23.23/4.02 | | | | op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 & % 23.23/4.02 | | | | op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) & % 23.23/4.02 | | | | $i(all_4_148) & $i(all_4_151)) % 23.23/4.02 | | | | % 23.23/4.02 | | | | BETA: splitting (255) gives: % 23.23/4.02 | | | | % 23.23/4.02 | | | | Case 1: % 23.23/4.02 | | | | | % 23.23/4.02 | | | | | (256) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & % 23.23/4.02 | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & % 23.23/4.02 | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & % 23.23/4.02 | | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 = all_4_33) % 23.23/4.02 | | | | | & op(all_4_148, e1) = all_4_33 & op(e3, all_4_152) = % 23.23/4.02 | | | | | all_4_32 & op(e3, e2) = all_4_148 & op(e2, e1) = all_4_152 % 23.23/4.02 | | | | | & $i(all_4_32) & $i(all_4_33) & $i(all_4_148) & % 23.23/4.02 | | | | | $i(all_4_152)) | ( ~ (all_4_34 = all_4_35) & op(all_4_148, % 23.23/4.02 | | | | | e0) = all_4_35 & op(e3, all_4_153) = all_4_34 & op(e3, % 23.23/4.02 | | | | | e2) = all_4_148 & op(e2, e0) = all_4_153 & $i(all_4_34) & % 23.23/4.02 | | | | | $i(all_4_35) & $i(all_4_148) & $i(all_4_153)) | ( ~ % 23.23/4.02 | | | | | (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 & % 23.23/4.02 | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & % 23.23/4.02 | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) & % 23.23/4.02 | | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 = all_4_39) % 23.23/4.02 | | | | | & op(all_4_149, e2) = all_4_39 & op(e3, all_4_155) = % 23.23/4.02 | | | | | all_4_38 & op(e3, e1) = all_4_149 & op(e1, e2) = all_4_155 % 23.23/4.02 | | | | | & $i(all_4_38) & $i(all_4_39) & $i(all_4_149) & % 23.23/4.02 | | | | | $i(all_4_155)) | ( ~ (all_4_40 = all_4_41) & op(all_4_149, % 23.23/4.02 | | | | | e1) = all_4_41 & op(e3, all_4_162) = all_4_40 & op(e3, % 23.23/4.02 | | | | | e1) = all_4_149 & op(e1, e1) = all_4_162 & $i(all_4_40) & % 23.23/4.02 | | | | | $i(all_4_41) & $i(all_4_149) & $i(all_4_162)) % 23.23/4.02 | | | | | % 23.23/4.02 | | | | | BETA: splitting (256) gives: % 23.23/4.02 | | | | | % 23.23/4.02 | | | | | Case 1: % 23.23/4.02 | | | | | | % 23.23/4.03 | | | | | | (257) ( ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & % 23.23/4.03 | | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & % 23.23/4.03 | | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & % 23.23/4.03 | | | | | | $i(all_4_148) & $i(all_4_161)) | ( ~ (all_4_32 = % 23.23/4.03 | | | | | | all_4_33) & op(all_4_148, e1) = all_4_33 & op(e3, % 23.23/4.03 | | | | | | all_4_152) = all_4_32 & op(e3, e2) = all_4_148 & op(e2, % 23.23/4.03 | | | | | | e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) & % 23.23/4.03 | | | | | | $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 = % 23.23/4.03 | | | | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3, % 23.23/4.03 | | | | | | all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & op(e2, % 23.23/4.03 | | | | | | e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & % 23.23/4.03 | | | | | | $i(all_4_148) & $i(all_4_153)) % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | | BETA: splitting (257) gives: % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | | Case 1: % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | (258) ~ (all_4_30 = all_4_31) & op(all_4_148, e2) = all_4_31 & % 23.23/4.03 | | | | | | | op(e3, all_4_161) = all_4_30 & op(e3, e2) = all_4_148 & % 23.23/4.03 | | | | | | | op(e2, e2) = all_4_161 & $i(all_4_30) & $i(all_4_31) & % 23.23/4.03 | | | | | | | $i(all_4_148) & $i(all_4_161) % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | ALPHA: (258) implies: % 23.23/4.03 | | | | | | | (259) ~ (all_4_30 = all_4_31) % 23.23/4.03 | | | | | | | (260) op(e2, e2) = all_4_161 % 23.23/4.03 | | | | | | | (261) op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | (262) op(e3, all_4_161) = all_4_30 % 23.23/4.03 | | | | | | | (263) op(all_4_148, e2) = all_4_31 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.23/4.03 | | | | | | | simplifying with (11), (260) gives: % 23.23/4.03 | | | | | | | (264) all_4_161 = e0 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.03 | | | | | | | simplifying with (15), (261) gives: % 23.23/4.03 | | | | | | | (265) all_4_148 = e1 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (263), (265) imply: % 23.23/4.03 | | | | | | | (266) op(e1, e2) = all_4_31 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (262), (264) imply: % 23.23/4.03 | | | | | | | (267) op(e3, e0) = all_4_30 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_31, e2, e1, % 23.23/4.03 | | | | | | | simplifying with (3), (266) gives: % 23.23/4.03 | | | | | | | (268) all_4_31 = e3 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_30, e0, e3, % 23.23/4.03 | | | | | | | simplifying with (14), (267) gives: % 23.23/4.03 | | | | | | | (269) all_4_30 = e3 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (259), (268), (269) imply: % 23.23/4.03 | | | | | | | (270) $false % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | CLOSE: (270) is inconsistent. % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | Case 2: % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | (271) ( ~ (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33 % 23.23/4.03 | | | | | | | & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) % 23.23/4.03 | | | | | | | & $i(all_4_148) & $i(all_4_152)) | ( ~ (all_4_34 = % 23.23/4.03 | | | | | | | all_4_35) & op(all_4_148, e0) = all_4_35 & op(e3, % 23.23/4.03 | | | | | | | all_4_153) = all_4_34 & op(e3, e2) = all_4_148 & % 23.23/4.03 | | | | | | | op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) & % 23.23/4.03 | | | | | | | $i(all_4_148) & $i(all_4_153)) % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | BETA: splitting (271) gives: % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | Case 1: % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | (272) ~ (all_4_32 = all_4_33) & op(all_4_148, e1) = all_4_33 % 23.23/4.03 | | | | | | | | & op(e3, all_4_152) = all_4_32 & op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_32) & $i(all_4_33) % 23.23/4.03 | | | | | | | | & $i(all_4_148) & $i(all_4_152) % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | ALPHA: (272) implies: % 23.23/4.03 | | | | | | | | (273) ~ (all_4_32 = all_4_33) % 23.23/4.03 | | | | | | | | (274) op(e2, e1) = all_4_152 % 23.23/4.03 | | | | | | | | (275) op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | | (276) op(e3, all_4_152) = all_4_32 % 23.23/4.03 | | | | | | | | (277) op(all_4_148, e1) = all_4_33 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.23/4.03 | | | | | | | | simplifying with (9), (274) gives: % 23.23/4.03 | | | | | | | | (278) all_4_152 = e3 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.03 | | | | | | | | simplifying with (15), (275) gives: % 23.23/4.03 | | | | | | | | (279) all_4_148 = e1 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (277), (279) imply: % 23.23/4.03 | | | | | | | | (280) op(e1, e1) = all_4_33 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (276), (278) imply: % 23.23/4.03 | | | | | | | | (281) op(e3, e3) = all_4_32 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_33, e1, e1, % 23.23/4.03 | | | | | | | | simplifying with (1), (280) gives: % 23.23/4.03 | | | | | | | | (282) all_4_33 = e0 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_32, e3, e3, % 23.23/4.03 | | | | | | | | simplifying with (16), (281) gives: % 23.23/4.03 | | | | | | | | (283) all_4_32 = e0 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (273), (282), (283) imply: % 23.23/4.03 | | | | | | | | (284) $false % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | CLOSE: (284) is inconsistent. % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | Case 2: % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | (285) ~ (all_4_34 = all_4_35) & op(all_4_148, e0) = all_4_35 % 23.23/4.03 | | | | | | | | & op(e3, all_4_153) = all_4_34 & op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | | & op(e2, e0) = all_4_153 & $i(all_4_34) & $i(all_4_35) % 23.23/4.03 | | | | | | | | & $i(all_4_148) & $i(all_4_153) % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | ALPHA: (285) implies: % 23.23/4.03 | | | | | | | | (286) ~ (all_4_34 = all_4_35) % 23.23/4.03 | | | | | | | | (287) op(e2, e0) = all_4_153 % 23.23/4.03 | | | | | | | | (288) op(e3, e2) = all_4_148 % 23.23/4.03 | | | | | | | | (289) op(e3, all_4_153) = all_4_34 % 23.23/4.03 | | | | | | | | (290) op(all_4_148, e0) = all_4_35 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.23/4.03 | | | | | | | | simplifying with (10), (287) gives: % 23.23/4.03 | | | | | | | | (291) all_4_153 = e2 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.03 | | | | | | | | simplifying with (15), (288) gives: % 23.23/4.03 | | | | | | | | (292) all_4_148 = e1 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (290), (292) imply: % 23.23/4.03 | | | | | | | | (293) op(e1, e0) = all_4_35 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (289), (291) imply: % 23.23/4.03 | | | | | | | | (294) op(e3, e2) = all_4_34 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_35, e0, e1, % 23.23/4.03 | | | | | | | | simplifying with (2), (293) gives: % 23.23/4.03 | | | | | | | | (295) all_4_35 = e1 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_34, e2, e3, % 23.23/4.03 | | | | | | | | simplifying with (15), (294) gives: % 23.23/4.03 | | | | | | | | (296) all_4_34 = e1 % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | REDUCE: (286), (295), (296) imply: % 23.23/4.03 | | | | | | | | (297) $false % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | | CLOSE: (297) is inconsistent. % 23.23/4.03 | | | | | | | | % 23.23/4.03 | | | | | | | End of split % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | End of split % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | Case 2: % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | | (298) ( ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 & % 23.23/4.03 | | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & % 23.23/4.03 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) & % 23.23/4.03 | | | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_38 = % 23.23/4.03 | | | | | | all_4_39) & op(all_4_149, e2) = all_4_39 & op(e3, % 23.23/4.03 | | | | | | all_4_155) = all_4_38 & op(e3, e1) = all_4_149 & op(e1, % 23.23/4.03 | | | | | | e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) & % 23.23/4.03 | | | | | | $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 = % 23.23/4.03 | | | | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3, % 23.23/4.03 | | | | | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & op(e1, % 23.23/4.03 | | | | | | e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) & % 23.23/4.03 | | | | | | $i(all_4_149) & $i(all_4_162)) % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | | BETA: splitting (298) gives: % 23.23/4.03 | | | | | | % 23.23/4.03 | | | | | | Case 1: % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | (299) ~ (all_4_36 = all_4_37) & op(all_4_149, e3) = all_4_37 & % 23.23/4.03 | | | | | | | op(e3, all_4_154) = all_4_36 & op(e3, e1) = all_4_149 & % 23.23/4.03 | | | | | | | op(e1, e3) = all_4_154 & $i(all_4_36) & $i(all_4_37) & % 23.23/4.03 | | | | | | | $i(all_4_149) & $i(all_4_154) % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | ALPHA: (299) implies: % 23.23/4.03 | | | | | | | (300) ~ (all_4_36 = all_4_37) % 23.23/4.03 | | | | | | | (301) op(e1, e3) = all_4_154 % 23.23/4.03 | | | | | | | (302) op(e3, e1) = all_4_149 % 23.23/4.03 | | | | | | | (303) op(e3, all_4_154) = all_4_36 % 23.23/4.03 | | | | | | | (304) op(all_4_149, e3) = all_4_37 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.23/4.03 | | | | | | | simplifying with (4), (301) gives: % 23.23/4.03 | | | | | | | (305) all_4_154 = e2 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.03 | | | | | | | simplifying with (13), (302) gives: % 23.23/4.03 | | | | | | | (306) all_4_149 = e2 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (304), (306) imply: % 23.23/4.03 | | | | | | | (307) op(e2, e3) = all_4_37 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (303), (305) imply: % 23.23/4.03 | | | | | | | (308) op(e3, e2) = all_4_36 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_37, e3, e2, % 23.23/4.03 | | | | | | | simplifying with (12), (307) gives: % 23.23/4.03 | | | | | | | (309) all_4_37 = e1 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_36, e2, e3, % 23.23/4.03 | | | | | | | simplifying with (15), (308) gives: % 23.23/4.03 | | | | | | | (310) all_4_36 = e1 % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | REDUCE: (300), (309), (310) imply: % 23.23/4.03 | | | | | | | (311) $false % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | | CLOSE: (311) is inconsistent. % 23.23/4.03 | | | | | | | % 23.23/4.03 | | | | | | Case 2: % 23.23/4.03 | | | | | | | % 23.23/4.04 | | | | | | | (312) ( ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39 % 23.23/4.04 | | | | | | | & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) % 23.23/4.04 | | | | | | | & $i(all_4_149) & $i(all_4_155)) | ( ~ (all_4_40 = % 23.23/4.04 | | | | | | | all_4_41) & op(all_4_149, e1) = all_4_41 & op(e3, % 23.23/4.04 | | | | | | | all_4_162) = all_4_40 & op(e3, e1) = all_4_149 & % 23.23/4.04 | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) & % 23.23/4.04 | | | | | | | $i(all_4_149) & $i(all_4_162)) % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | BETA: splitting (312) gives: % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | Case 1: % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | (313) ~ (all_4_38 = all_4_39) & op(all_4_149, e2) = all_4_39 % 23.23/4.04 | | | | | | | | & op(e3, all_4_155) = all_4_38 & op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_38) & $i(all_4_39) % 23.23/4.04 | | | | | | | | & $i(all_4_149) & $i(all_4_155) % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | ALPHA: (313) implies: % 23.23/4.04 | | | | | | | | (314) ~ (all_4_38 = all_4_39) % 23.23/4.04 | | | | | | | | (315) op(e1, e2) = all_4_155 % 23.23/4.04 | | | | | | | | (316) op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | | (317) op(e3, all_4_155) = all_4_38 % 23.23/4.04 | | | | | | | | (318) op(all_4_149, e2) = all_4_39 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.23/4.04 | | | | | | | | simplifying with (3), (315) gives: % 23.23/4.04 | | | | | | | | (319) all_4_155 = e3 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.04 | | | | | | | | simplifying with (13), (316) gives: % 23.23/4.04 | | | | | | | | (320) all_4_149 = e2 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (318), (320) imply: % 23.23/4.04 | | | | | | | | (321) op(e2, e2) = all_4_39 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (317), (319) imply: % 23.23/4.04 | | | | | | | | (322) op(e3, e3) = all_4_38 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_39, e2, e2, % 23.23/4.04 | | | | | | | | simplifying with (11), (321) gives: % 23.23/4.04 | | | | | | | | (323) all_4_39 = e0 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_38, e3, e3, % 23.23/4.04 | | | | | | | | simplifying with (16), (322) gives: % 23.23/4.04 | | | | | | | | (324) all_4_38 = e0 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (314), (323), (324) imply: % 23.23/4.04 | | | | | | | | (325) $false % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | CLOSE: (325) is inconsistent. % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | Case 2: % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | (326) ~ (all_4_40 = all_4_41) & op(all_4_149, e1) = all_4_41 % 23.23/4.04 | | | | | | | | & op(e3, all_4_162) = all_4_40 & op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_40) & $i(all_4_41) % 23.23/4.04 | | | | | | | | & $i(all_4_149) & $i(all_4_162) % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | ALPHA: (326) implies: % 23.23/4.04 | | | | | | | | (327) ~ (all_4_40 = all_4_41) % 23.23/4.04 | | | | | | | | (328) op(e1, e1) = all_4_162 % 23.23/4.04 | | | | | | | | (329) op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | | (330) op(e3, all_4_162) = all_4_40 % 23.23/4.04 | | | | | | | | (331) op(all_4_149, e1) = all_4_41 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.23/4.04 | | | | | | | | simplifying with (1), (328) gives: % 23.23/4.04 | | | | | | | | (332) all_4_162 = e0 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.04 | | | | | | | | simplifying with (13), (329) gives: % 23.23/4.04 | | | | | | | | (333) all_4_149 = e2 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (331), (333) imply: % 23.23/4.04 | | | | | | | | (334) op(e2, e1) = all_4_41 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (330), (332) imply: % 23.23/4.04 | | | | | | | | (335) op(e3, e0) = all_4_40 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_41, e1, e2, % 23.23/4.04 | | | | | | | | simplifying with (9), (334) gives: % 23.23/4.04 | | | | | | | | (336) all_4_41 = e3 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_40, e0, e3, % 23.23/4.04 | | | | | | | | simplifying with (14), (335) gives: % 23.23/4.04 | | | | | | | | (337) all_4_40 = e3 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (327), (336), (337) imply: % 23.23/4.04 | | | | | | | | (338) $false % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | CLOSE: (338) is inconsistent. % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | End of split % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | End of split % 23.23/4.04 | | | | | | % 23.23/4.04 | | | | | End of split % 23.23/4.04 | | | | | % 23.23/4.04 | | | | Case 2: % 23.23/4.04 | | | | | % 23.23/4.04 | | | | | (339) ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & % 23.23/4.04 | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/4.04 | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & % 23.23/4.04 | | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = all_4_45) % 23.23/4.04 | | | | | & op(all_4_150, e3) = all_4_45 & op(e3, all_4_157) = % 23.23/4.04 | | | | | all_4_44 & op(e3, e0) = all_4_150 & op(e0, e3) = all_4_157 % 23.23/4.04 | | | | | & $i(all_4_44) & $i(all_4_45) & $i(all_4_150) & % 23.23/4.04 | | | | | $i(all_4_157)) | ( ~ (all_4_46 = all_4_47) & op(all_4_150, % 23.23/4.04 | | | | | e2) = all_4_47 & op(e3, all_4_158) = all_4_46 & op(e3, % 23.23/4.04 | | | | | e0) = all_4_150 & op(e0, e2) = all_4_158 & $i(all_4_46) & % 23.23/4.04 | | | | | $i(all_4_47) & $i(all_4_150) & $i(all_4_158)) | ( ~ % 23.23/4.04 | | | | | (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & % 23.23/4.04 | | | | | op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & % 23.23/4.04 | | | | | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) & % 23.23/4.04 | | | | | $i(all_4_150) & $i(all_4_159)) | ( ~ (all_4_50 = all_4_51) % 23.23/4.04 | | | | | & op(all_4_150, e0) = all_4_51 & op(e3, all_4_163) = % 23.23/4.04 | | | | | all_4_50 & op(e3, e0) = all_4_150 & op(e0, e0) = all_4_163 % 23.23/4.04 | | | | | & $i(all_4_50) & $i(all_4_51) & $i(all_4_150) & % 23.23/4.04 | | | | | $i(all_4_163)) | ( ~ (all_4_52 = all_4_53) & op(all_4_151, % 23.23/4.04 | | | | | e3) = all_4_53 & op(e3, e3) = all_4_160 & op(e2, % 23.23/4.04 | | | | | all_4_160) = all_4_52 & op(e2, e3) = all_4_151 & % 23.23/4.04 | | | | | $i(all_4_52) & $i(all_4_53) & $i(all_4_151) & % 23.23/4.04 | | | | | $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & op(all_4_151, % 23.23/4.04 | | | | | e2) = all_4_55 & op(e3, e2) = all_4_148 & op(e2, % 23.23/4.04 | | | | | all_4_148) = all_4_54 & op(e2, e3) = all_4_151 & % 23.23/4.04 | | | | | $i(all_4_54) & $i(all_4_55) & $i(all_4_148) & % 23.23/4.04 | | | | | $i(all_4_151)) % 23.23/4.04 | | | | | % 23.23/4.04 | | | | | BETA: splitting (339) gives: % 23.23/4.04 | | | | | % 23.23/4.04 | | | | | Case 1: % 23.23/4.04 | | | | | | % 23.23/4.04 | | | | | | (340) ( ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & % 23.23/4.04 | | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/4.04 | | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & % 23.23/4.04 | | | | | | $i(all_4_149) & $i(all_4_156)) | ( ~ (all_4_44 = % 23.23/4.04 | | | | | | all_4_45) & op(all_4_150, e3) = all_4_45 & op(e3, % 23.23/4.04 | | | | | | all_4_157) = all_4_44 & op(e3, e0) = all_4_150 & op(e0, % 23.23/4.04 | | | | | | e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) & % 23.23/4.04 | | | | | | $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 = % 23.23/4.04 | | | | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, % 23.23/4.04 | | | | | | all_4_158) = all_4_46 & op(e3, e0) = all_4_150 & op(e0, % 23.23/4.04 | | | | | | e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) & % 23.23/4.04 | | | | | | $i(all_4_150) & $i(all_4_158)) % 23.23/4.04 | | | | | | % 23.23/4.04 | | | | | | BETA: splitting (340) gives: % 23.23/4.04 | | | | | | % 23.23/4.04 | | | | | | Case 1: % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | (341) ~ (all_4_42 = all_4_43) & op(all_4_149, e0) = all_4_43 & % 23.23/4.04 | | | | | | | op(e3, all_4_156) = all_4_42 & op(e3, e1) = all_4_149 & % 23.23/4.04 | | | | | | | op(e1, e0) = all_4_156 & $i(all_4_42) & $i(all_4_43) & % 23.23/4.04 | | | | | | | $i(all_4_149) & $i(all_4_156) % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | ALPHA: (341) implies: % 23.23/4.04 | | | | | | | (342) ~ (all_4_42 = all_4_43) % 23.23/4.04 | | | | | | | (343) op(e1, e0) = all_4_156 % 23.23/4.04 | | | | | | | (344) op(e3, e1) = all_4_149 % 23.23/4.04 | | | | | | | (345) op(e3, all_4_156) = all_4_42 % 23.23/4.04 | | | | | | | (346) op(all_4_149, e0) = all_4_43 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.23/4.04 | | | | | | | simplifying with (2), (343) gives: % 23.23/4.04 | | | | | | | (347) all_4_156 = e1 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.04 | | | | | | | simplifying with (13), (344) gives: % 23.23/4.04 | | | | | | | (348) all_4_149 = e2 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | REDUCE: (346), (348) imply: % 23.23/4.04 | | | | | | | (349) op(e2, e0) = all_4_43 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | REDUCE: (345), (347) imply: % 23.23/4.04 | | | | | | | (350) op(e3, e1) = all_4_42 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_43, e0, e2, % 23.23/4.04 | | | | | | | simplifying with (10), (349) gives: % 23.23/4.04 | | | | | | | (351) all_4_43 = e2 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_42, e1, e3, % 23.23/4.04 | | | | | | | simplifying with (13), (350) gives: % 23.23/4.04 | | | | | | | (352) all_4_42 = e2 % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | REDUCE: (342), (351), (352) imply: % 23.23/4.04 | | | | | | | (353) $false % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | CLOSE: (353) is inconsistent. % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | Case 2: % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | (354) ( ~ (all_4_44 = all_4_45) & op(all_4_150, e3) = all_4_45 % 23.23/4.04 | | | | | | | & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150 % 23.23/4.04 | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) % 23.23/4.04 | | | | | | | & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_46 = % 23.23/4.04 | | | | | | | all_4_47) & op(all_4_150, e2) = all_4_47 & op(e3, % 23.23/4.04 | | | | | | | all_4_158) = all_4_46 & op(e3, e0) = all_4_150 & % 23.23/4.04 | | | | | | | op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) & % 23.23/4.04 | | | | | | | $i(all_4_150) & $i(all_4_158)) % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | BETA: splitting (354) gives: % 23.23/4.04 | | | | | | | % 23.23/4.04 | | | | | | | Case 1: % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | (355) ~ (all_4_44 = all_4_45) & op(all_4_150, e3) = all_4_45 % 23.23/4.04 | | | | | | | | & op(e3, all_4_157) = all_4_44 & op(e3, e0) = all_4_150 % 23.23/4.04 | | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_44) & $i(all_4_45) % 23.23/4.04 | | | | | | | | & $i(all_4_150) & $i(all_4_157) % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | ALPHA: (355) implies: % 23.23/4.04 | | | | | | | | (356) ~ (all_4_44 = all_4_45) % 23.23/4.04 | | | | | | | | (357) op(e0, e3) = all_4_157 % 23.23/4.04 | | | | | | | | (358) op(e3, e0) = all_4_150 % 23.23/4.04 | | | | | | | | (359) op(e3, all_4_157) = all_4_44 % 23.23/4.04 | | | | | | | | (360) op(all_4_150, e3) = all_4_45 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.23/4.04 | | | | | | | | simplifying with (8), (357) gives: % 23.23/4.04 | | | | | | | | (361) all_4_157 = e3 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.04 | | | | | | | | simplifying with (14), (358) gives: % 23.23/4.04 | | | | | | | | (362) all_4_150 = e3 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (360), (362) imply: % 23.23/4.04 | | | | | | | | (363) op(e3, e3) = all_4_45 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | REDUCE: (359), (361) imply: % 23.23/4.04 | | | | | | | | (364) op(e3, e3) = all_4_44 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_44, e3, e3, % 23.23/4.04 | | | | | | | | simplifying with (16), (364) gives: % 23.23/4.04 | | | | | | | | (365) all_4_44 = e0 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | GROUND_INST: instantiating (24) with all_4_45, all_4_44, e3, e3, % 23.23/4.04 | | | | | | | | simplifying with (363), (364) gives: % 23.23/4.04 | | | | | | | | (366) all_4_44 = all_4_45 % 23.23/4.04 | | | | | | | | % 23.23/4.04 | | | | | | | | COMBINE_EQS: (365), (366) imply: % 23.23/4.05 | | | | | | | | (367) all_4_45 = e0 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (356), (365), (367) imply: % 23.23/4.05 | | | | | | | | (368) $false % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | CLOSE: (368) is inconsistent. % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | Case 2: % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | (369) ~ (all_4_46 = all_4_47) & op(all_4_150, e2) = all_4_47 % 23.23/4.05 | | | | | | | | & op(e3, all_4_158) = all_4_46 & op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_46) & $i(all_4_47) % 23.23/4.05 | | | | | | | | & $i(all_4_150) & $i(all_4_158) % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | ALPHA: (369) implies: % 23.23/4.05 | | | | | | | | (370) ~ (all_4_46 = all_4_47) % 23.23/4.05 | | | | | | | | (371) op(e0, e2) = all_4_158 % 23.23/4.05 | | | | | | | | (372) op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | (373) op(e3, all_4_158) = all_4_46 % 23.23/4.05 | | | | | | | | (374) op(all_4_150, e2) = all_4_47 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 23.23/4.05 | | | | | | | | simplifying with (7), (371) gives: % 23.23/4.05 | | | | | | | | (375) all_4_158 = e2 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.05 | | | | | | | | simplifying with (14), (372) gives: % 23.23/4.05 | | | | | | | | (376) all_4_150 = e3 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (374), (376) imply: % 23.23/4.05 | | | | | | | | (377) op(e3, e2) = all_4_47 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (373), (375) imply: % 23.23/4.05 | | | | | | | | (378) op(e3, e2) = all_4_46 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_46, e2, e3, % 23.23/4.05 | | | | | | | | simplifying with (15), (378) gives: % 23.23/4.05 | | | | | | | | (379) all_4_46 = e1 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with all_4_47, all_4_46, e2, e3, % 23.23/4.05 | | | | | | | | simplifying with (377), (378) gives: % 23.23/4.05 | | | | | | | | (380) all_4_46 = all_4_47 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | COMBINE_EQS: (379), (380) imply: % 23.23/4.05 | | | | | | | | (381) all_4_47 = e1 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (370), (379), (381) imply: % 23.23/4.05 | | | | | | | | (382) $false % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | CLOSE: (382) is inconsistent. % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | End of split % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | End of split % 23.23/4.05 | | | | | | % 23.23/4.05 | | | | | Case 2: % 23.23/4.05 | | | | | | % 23.23/4.05 | | | | | | (383) ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 & % 23.23/4.05 | | | | | | op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 & % 23.23/4.05 | | | | | | op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) & % 23.23/4.05 | | | | | | $i(all_4_150) & $i(all_4_159)) | ( ~ (all_4_50 = % 23.23/4.05 | | | | | | all_4_51) & op(all_4_150, e0) = all_4_51 & op(e3, % 23.23/4.05 | | | | | | all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & op(e0, % 23.23/4.05 | | | | | | e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & % 23.23/4.05 | | | | | | $i(all_4_150) & $i(all_4_163)) | ( ~ (all_4_52 = % 23.23/4.05 | | | | | | all_4_53) & op(all_4_151, e3) = all_4_53 & op(e3, e3) = % 23.23/4.05 | | | | | | all_4_160 & op(e2, all_4_160) = all_4_52 & op(e2, e3) = % 23.23/4.05 | | | | | | all_4_151 & $i(all_4_52) & $i(all_4_53) & $i(all_4_151) & % 23.23/4.05 | | | | | | $i(all_4_160)) | ( ~ (all_4_54 = all_4_55) & % 23.23/4.05 | | | | | | op(all_4_151, e2) = all_4_55 & op(e3, e2) = all_4_148 & % 23.23/4.05 | | | | | | op(e2, all_4_148) = all_4_54 & op(e2, e3) = all_4_151 & % 23.23/4.05 | | | | | | $i(all_4_54) & $i(all_4_55) & $i(all_4_148) & % 23.23/4.05 | | | | | | $i(all_4_151)) % 23.23/4.05 | | | | | | % 23.23/4.05 | | | | | | BETA: splitting (383) gives: % 23.23/4.05 | | | | | | % 23.23/4.05 | | | | | | Case 1: % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | (384) ( ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 % 23.23/4.05 | | | | | | | & op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | & op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) % 23.23/4.05 | | | | | | | & $i(all_4_150) & $i(all_4_159)) | ( ~ (all_4_50 = % 23.23/4.05 | | | | | | | all_4_51) & op(all_4_150, e0) = all_4_51 & op(e3, % 23.23/4.05 | | | | | | | all_4_163) = all_4_50 & op(e3, e0) = all_4_150 & % 23.23/4.05 | | | | | | | op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) & % 23.23/4.05 | | | | | | | $i(all_4_150) & $i(all_4_163)) % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | BETA: splitting (384) gives: % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | Case 1: % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | (385) ~ (all_4_48 = all_4_49) & op(all_4_150, e1) = all_4_49 % 23.23/4.05 | | | | | | | | & op(e3, all_4_159) = all_4_48 & op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | & op(e0, e1) = all_4_159 & $i(all_4_48) & $i(all_4_49) % 23.23/4.05 | | | | | | | | & $i(all_4_150) & $i(all_4_159) % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | ALPHA: (385) implies: % 23.23/4.05 | | | | | | | | (386) ~ (all_4_48 = all_4_49) % 23.23/4.05 | | | | | | | | (387) op(e0, e1) = all_4_159 % 23.23/4.05 | | | | | | | | (388) op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | (389) op(e3, all_4_159) = all_4_48 % 23.23/4.05 | | | | | | | | (390) op(all_4_150, e1) = all_4_49 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 23.23/4.05 | | | | | | | | simplifying with (5), (387) gives: % 23.23/4.05 | | | | | | | | (391) all_4_159 = e1 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.05 | | | | | | | | simplifying with (14), (388) gives: % 23.23/4.05 | | | | | | | | (392) all_4_150 = e3 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (390), (392) imply: % 23.23/4.05 | | | | | | | | (393) op(e3, e1) = all_4_49 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (389), (391) imply: % 23.23/4.05 | | | | | | | | (394) op(e3, e1) = all_4_48 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_48, e1, e3, % 23.23/4.05 | | | | | | | | simplifying with (13), (394) gives: % 23.23/4.05 | | | | | | | | (395) all_4_48 = e2 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with all_4_49, all_4_48, e1, e3, % 23.23/4.05 | | | | | | | | simplifying with (393), (394) gives: % 23.23/4.05 | | | | | | | | (396) all_4_48 = all_4_49 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | COMBINE_EQS: (395), (396) imply: % 23.23/4.05 | | | | | | | | (397) all_4_49 = e2 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (386), (395), (397) imply: % 23.23/4.05 | | | | | | | | (398) $false % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | CLOSE: (398) is inconsistent. % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | Case 2: % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | (399) ~ (all_4_50 = all_4_51) & op(all_4_150, e0) = all_4_51 % 23.23/4.05 | | | | | | | | & op(e3, all_4_163) = all_4_50 & op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_50) & $i(all_4_51) % 23.23/4.05 | | | | | | | | & $i(all_4_150) & $i(all_4_163) % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | ALPHA: (399) implies: % 23.23/4.05 | | | | | | | | (400) ~ (all_4_50 = all_4_51) % 23.23/4.05 | | | | | | | | (401) op(e0, e0) = all_4_163 % 23.23/4.05 | | | | | | | | (402) op(e3, e0) = all_4_150 % 23.23/4.05 | | | | | | | | (403) op(e3, all_4_163) = all_4_50 % 23.23/4.05 | | | | | | | | (404) op(all_4_150, e0) = all_4_51 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 23.23/4.05 | | | | | | | | simplifying with (6), (401) gives: % 23.23/4.05 | | | | | | | | (405) all_4_163 = e0 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.05 | | | | | | | | simplifying with (14), (402) gives: % 23.23/4.05 | | | | | | | | (406) all_4_150 = e3 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (404), (406) imply: % 23.23/4.05 | | | | | | | | (407) op(e3, e0) = all_4_51 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (403), (405) imply: % 23.23/4.05 | | | | | | | | (408) op(e3, e0) = all_4_50 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_50, e0, e3, % 23.23/4.05 | | | | | | | | simplifying with (14), (408) gives: % 23.23/4.05 | | | | | | | | (409) all_4_50 = e3 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with all_4_51, all_4_50, e0, e3, % 23.23/4.05 | | | | | | | | simplifying with (407), (408) gives: % 23.23/4.05 | | | | | | | | (410) all_4_50 = all_4_51 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | COMBINE_EQS: (409), (410) imply: % 23.23/4.05 | | | | | | | | (411) all_4_51 = e3 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (400), (409), (411) imply: % 23.23/4.05 | | | | | | | | (412) $false % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | CLOSE: (412) is inconsistent. % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | End of split % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | Case 2: % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | (413) ( ~ (all_4_52 = all_4_53) & op(all_4_151, e3) = all_4_53 % 23.23/4.05 | | | | | | | & op(e3, e3) = all_4_160 & op(e2, all_4_160) = all_4_52 % 23.23/4.05 | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_52) & $i(all_4_53) % 23.23/4.05 | | | | | | | & $i(all_4_151) & $i(all_4_160)) | ( ~ (all_4_54 = % 23.23/4.05 | | | | | | | all_4_55) & op(all_4_151, e2) = all_4_55 & op(e3, e2) % 23.23/4.05 | | | | | | | = all_4_148 & op(e2, all_4_148) = all_4_54 & op(e2, e3) % 23.23/4.05 | | | | | | | = all_4_151 & $i(all_4_54) & $i(all_4_55) & % 23.23/4.05 | | | | | | | $i(all_4_148) & $i(all_4_151)) % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | BETA: splitting (413) gives: % 23.23/4.05 | | | | | | | % 23.23/4.05 | | | | | | | Case 1: % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | (414) ~ (all_4_52 = all_4_53) & op(all_4_151, e3) = all_4_53 % 23.23/4.05 | | | | | | | | & op(e3, e3) = all_4_160 & op(e2, all_4_160) = all_4_52 % 23.23/4.05 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_52) & $i(all_4_53) % 23.23/4.05 | | | | | | | | & $i(all_4_151) & $i(all_4_160) % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | ALPHA: (414) implies: % 23.23/4.05 | | | | | | | | (415) ~ (all_4_52 = all_4_53) % 23.23/4.05 | | | | | | | | (416) op(e2, e3) = all_4_151 % 23.23/4.05 | | | | | | | | (417) op(e2, all_4_160) = all_4_52 % 23.23/4.05 | | | | | | | | (418) op(e3, e3) = all_4_160 % 23.23/4.05 | | | | | | | | (419) op(all_4_151, e3) = all_4_53 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.05 | | | | | | | | simplifying with (12), (416) gives: % 23.23/4.05 | | | | | | | | (420) all_4_151 = e1 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.23/4.05 | | | | | | | | simplifying with (16), (418) gives: % 23.23/4.05 | | | | | | | | (421) all_4_160 = e0 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (419), (420) imply: % 23.23/4.05 | | | | | | | | (422) op(e1, e3) = all_4_53 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (417), (421) imply: % 23.23/4.05 | | | | | | | | (423) op(e2, e0) = all_4_52 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_53, e3, e1, % 23.23/4.05 | | | | | | | | simplifying with (4), (422) gives: % 23.23/4.05 | | | | | | | | (424) all_4_53 = e2 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_52, e0, e2, % 23.23/4.05 | | | | | | | | simplifying with (10), (423) gives: % 23.23/4.05 | | | | | | | | (425) all_4_52 = e2 % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | REDUCE: (415), (424), (425) imply: % 23.23/4.05 | | | | | | | | (426) $false % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | CLOSE: (426) is inconsistent. % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | Case 2: % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | (427) ~ (all_4_54 = all_4_55) & op(all_4_151, e2) = all_4_55 % 23.23/4.05 | | | | | | | | & op(e3, e2) = all_4_148 & op(e2, all_4_148) = all_4_54 % 23.23/4.05 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_54) & $i(all_4_55) % 23.23/4.05 | | | | | | | | & $i(all_4_148) & $i(all_4_151) % 23.23/4.05 | | | | | | | | % 23.23/4.05 | | | | | | | | ALPHA: (427) implies: % 23.23/4.05 | | | | | | | | (428) ~ (all_4_54 = all_4_55) % 23.23/4.05 | | | | | | | | (429) op(e2, e3) = all_4_151 % 23.23/4.05 | | | | | | | | (430) op(e2, all_4_148) = all_4_54 % 23.23/4.05 | | | | | | | | (431) op(e3, e2) = all_4_148 % 23.23/4.05 | | | | | | | | (432) op(all_4_151, e2) = all_4_55 % 23.23/4.05 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.06 | | | | | | | | simplifying with (12), (429) gives: % 23.23/4.06 | | | | | | | | (433) all_4_151 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.23/4.06 | | | | | | | | simplifying with (15), (431) gives: % 23.23/4.06 | | | | | | | | (434) all_4_148 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (432), (433) imply: % 23.23/4.06 | | | | | | | | (435) op(e1, e2) = all_4_55 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (430), (434) imply: % 23.23/4.06 | | | | | | | | (436) op(e2, e1) = all_4_54 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_55, e2, e1, % 23.23/4.06 | | | | | | | | simplifying with (3), (435) gives: % 23.23/4.06 | | | | | | | | (437) all_4_55 = e3 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_54, e1, e2, % 23.23/4.06 | | | | | | | | simplifying with (9), (436) gives: % 23.23/4.06 | | | | | | | | (438) all_4_54 = e3 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (428), (437), (438) imply: % 23.23/4.06 | | | | | | | | (439) $false % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | CLOSE: (439) is inconsistent. % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | End of split % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | End of split % 23.23/4.06 | | | | | | % 23.23/4.06 | | | | | End of split % 23.23/4.06 | | | | | % 23.23/4.06 | | | | End of split % 23.23/4.06 | | | | % 23.23/4.06 | | | Case 2: % 23.23/4.06 | | | | % 23.23/4.06 | | | | (440) ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & % 23.23/4.06 | | | | op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & % 23.23/4.06 | | | | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & % 23.23/4.06 | | | | $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) & % 23.23/4.06 | | | | op(all_4_151, e0) = all_4_59 & op(e3, e0) = all_4_150 & % 23.23/4.06 | | | | op(e2, all_4_150) = all_4_58 & op(e2, e3) = all_4_151 & % 23.23/4.06 | | | | $i(all_4_58) & $i(all_4_59) & $i(all_4_150) & $i(all_4_151)) % 23.23/4.06 | | | | | ( ~ (all_4_60 = all_4_61) & op(all_4_161, e3) = all_4_61 & % 23.23/4.06 | | | | op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 & % 23.23/4.06 | | | | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) & % 23.23/4.06 | | | | $i(all_4_151) & $i(all_4_161)) | ( ~ (all_4_62 = all_4_63) & % 23.23/4.06 | | | | op(all_4_161, e2) = all_4_63 & op(e2, all_4_161) = all_4_62 & % 23.23/4.06 | | | | op(e2, e2) = all_4_161 & $i(all_4_62) & $i(all_4_63) & % 23.23/4.06 | | | | $i(all_4_161)) | ( ~ (all_4_64 = all_4_65) & op(all_4_161, % 23.23/4.06 | | | | e1) = all_4_65 & op(e2, all_4_152) = all_4_64 & op(e2, e2) % 23.23/4.06 | | | | = all_4_161 & op(e2, e1) = all_4_152 & $i(all_4_64) & % 23.23/4.06 | | | | $i(all_4_65) & $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 % 23.23/4.06 | | | | = all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2, % 23.23/4.06 | | | | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) % 23.23/4.06 | | | | = all_4_153 & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) & % 23.23/4.06 | | | | $i(all_4_161)) | ( ~ (all_4_68 = all_4_69) & op(all_4_152, % 23.23/4.06 | | | | e3) = all_4_69 & op(e2, all_4_154) = all_4_68 & op(e2, e1) % 23.23/4.06 | | | | = all_4_152 & op(e1, e3) = all_4_154 & $i(all_4_68) & % 23.23/4.06 | | | | $i(all_4_69) & $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 % 23.23/4.06 | | | | = all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2, % 23.23/4.06 | | | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) % 23.23/4.06 | | | | = all_4_155 & $i(all_4_70) & $i(all_4_71) & $i(all_4_152) & % 23.23/4.06 | | | | $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, % 23.23/4.06 | | | | e1) = all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, e1) % 23.23/4.06 | | | | = all_4_152 & op(e1, e1) = all_4_162 & $i(all_4_72) & % 23.23/4.06 | | | | $i(all_4_73) & $i(all_4_152) & $i(all_4_162)) | ( ~ (all_4_74 % 23.23/4.06 | | | | = all_4_75) & op(all_4_152, e0) = all_4_75 & op(e2, % 23.23/4.06 | | | | all_4_156) = all_4_74 & op(e2, e1) = all_4_152 & op(e1, e0) % 23.23/4.06 | | | | = all_4_156 & $i(all_4_74) & $i(all_4_75) & $i(all_4_152) & % 23.23/4.06 | | | | $i(all_4_156)) | ( ~ (all_4_76 = all_4_77) & op(all_4_153, % 23.23/4.06 | | | | e3) = all_4_77 & op(e2, all_4_157) = all_4_76 & op(e2, e0) % 23.23/4.06 | | | | = all_4_153 & op(e0, e3) = all_4_157 & $i(all_4_76) & % 23.23/4.06 | | | | $i(all_4_77) & $i(all_4_153) & $i(all_4_157)) | ( ~ (all_4_78 % 23.23/4.06 | | | | = all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2, % 23.23/4.06 | | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, e2) % 23.23/4.06 | | | | = all_4_158 & $i(all_4_78) & $i(all_4_79) & $i(all_4_153) & % 23.23/4.06 | | | | $i(all_4_158)) | ( ~ (all_4_80 = all_4_81) & op(all_4_153, % 23.23/4.06 | | | | e1) = all_4_81 & op(e2, all_4_159) = all_4_80 & op(e2, e0) % 23.23/4.06 | | | | = all_4_153 & op(e0, e1) = all_4_159 & $i(all_4_80) & % 23.23/4.06 | | | | $i(all_4_81) & $i(all_4_153) & $i(all_4_159)) % 23.23/4.06 | | | | % 23.23/4.06 | | | | BETA: splitting (440) gives: % 23.23/4.06 | | | | % 23.23/4.06 | | | | Case 1: % 23.23/4.06 | | | | | % 23.23/4.06 | | | | | (441) ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & % 23.23/4.06 | | | | | op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & % 23.23/4.06 | | | | | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & % 23.23/4.06 | | | | | $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58 = all_4_59) % 23.23/4.06 | | | | | & op(all_4_151, e0) = all_4_59 & op(e3, e0) = all_4_150 & % 23.23/4.06 | | | | | op(e2, all_4_150) = all_4_58 & op(e2, e3) = all_4_151 & % 23.23/4.06 | | | | | $i(all_4_58) & $i(all_4_59) & $i(all_4_150) & % 23.23/4.06 | | | | | $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & op(all_4_161, % 23.23/4.06 | | | | | e3) = all_4_61 & op(e2, all_4_151) = all_4_60 & op(e2, % 23.23/4.06 | | | | | e3) = all_4_151 & op(e2, e2) = all_4_161 & $i(all_4_60) & % 23.23/4.06 | | | | | $i(all_4_61) & $i(all_4_151) & $i(all_4_161)) | ( ~ % 23.23/4.06 | | | | | (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63 & % 23.23/4.06 | | | | | op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 & % 23.23/4.06 | | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~ % 23.23/4.06 | | | | | (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 & % 23.23/4.06 | | | | | op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 & % 23.23/4.06 | | | | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) & % 23.23/4.06 | | | | | $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 = all_4_67) % 23.23/4.06 | | | | | & op(all_4_161, e0) = all_4_67 & op(e2, all_4_153) = % 23.23/4.06 | | | | | all_4_66 & op(e2, e2) = all_4_161 & op(e2, e0) = all_4_153 % 23.23/4.06 | | | | | & $i(all_4_66) & $i(all_4_67) & $i(all_4_153) & % 23.23/4.06 | | | | | $i(all_4_161)) % 23.23/4.06 | | | | | % 23.23/4.06 | | | | | BETA: splitting (441) gives: % 23.23/4.06 | | | | | % 23.23/4.06 | | | | | Case 1: % 23.23/4.06 | | | | | | % 23.23/4.06 | | | | | | (442) ( ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & % 23.23/4.06 | | | | | | op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & % 23.23/4.06 | | | | | | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & % 23.23/4.06 | | | | | | $i(all_4_149) & $i(all_4_151)) | ( ~ (all_4_58 = % 23.23/4.06 | | | | | | all_4_59) & op(all_4_151, e0) = all_4_59 & op(e3, e0) = % 23.23/4.06 | | | | | | all_4_150 & op(e2, all_4_150) = all_4_58 & op(e2, e3) = % 23.23/4.06 | | | | | | all_4_151 & $i(all_4_58) & $i(all_4_59) & $i(all_4_150) & % 23.23/4.06 | | | | | | $i(all_4_151)) | ( ~ (all_4_60 = all_4_61) & % 23.23/4.06 | | | | | | op(all_4_161, e3) = all_4_61 & op(e2, all_4_151) = % 23.23/4.06 | | | | | | all_4_60 & op(e2, e3) = all_4_151 & op(e2, e2) = % 23.23/4.06 | | | | | | all_4_161 & $i(all_4_60) & $i(all_4_61) & $i(all_4_151) & % 23.23/4.06 | | | | | | $i(all_4_161)) % 23.23/4.06 | | | | | | % 23.23/4.06 | | | | | | BETA: splitting (442) gives: % 23.23/4.06 | | | | | | % 23.23/4.06 | | | | | | Case 1: % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | (443) ~ (all_4_56 = all_4_57) & op(all_4_151, e1) = all_4_57 & % 23.23/4.06 | | | | | | | op(e3, e1) = all_4_149 & op(e2, all_4_149) = all_4_56 & % 23.23/4.06 | | | | | | | op(e2, e3) = all_4_151 & $i(all_4_56) & $i(all_4_57) & % 23.23/4.06 | | | | | | | $i(all_4_149) & $i(all_4_151) % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | ALPHA: (443) implies: % 23.23/4.06 | | | | | | | (444) ~ (all_4_56 = all_4_57) % 23.23/4.06 | | | | | | | (445) op(e2, e3) = all_4_151 % 23.23/4.06 | | | | | | | (446) op(e2, all_4_149) = all_4_56 % 23.23/4.06 | | | | | | | (447) op(e3, e1) = all_4_149 % 23.23/4.06 | | | | | | | (448) op(all_4_151, e1) = all_4_57 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.06 | | | | | | | simplifying with (12), (445) gives: % 23.23/4.06 | | | | | | | (449) all_4_151 = e1 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.23/4.06 | | | | | | | simplifying with (13), (447) gives: % 23.23/4.06 | | | | | | | (450) all_4_149 = e2 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | REDUCE: (448), (449) imply: % 23.23/4.06 | | | | | | | (451) op(e1, e1) = all_4_57 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | REDUCE: (446), (450) imply: % 23.23/4.06 | | | | | | | (452) op(e2, e2) = all_4_56 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_57, e1, e1, % 23.23/4.06 | | | | | | | simplifying with (1), (451) gives: % 23.23/4.06 | | | | | | | (453) all_4_57 = e0 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_56, e2, e2, % 23.23/4.06 | | | | | | | simplifying with (11), (452) gives: % 23.23/4.06 | | | | | | | (454) all_4_56 = e0 % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | REDUCE: (444), (453), (454) imply: % 23.23/4.06 | | | | | | | (455) $false % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | CLOSE: (455) is inconsistent. % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | Case 2: % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | (456) ( ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = all_4_59 % 23.23/4.06 | | | | | | | & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 % 23.23/4.06 | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) % 23.23/4.06 | | | | | | | & $i(all_4_150) & $i(all_4_151)) | ( ~ (all_4_60 = % 23.23/4.06 | | | | | | | all_4_61) & op(all_4_161, e3) = all_4_61 & op(e2, % 23.23/4.06 | | | | | | | all_4_151) = all_4_60 & op(e2, e3) = all_4_151 & % 23.23/4.06 | | | | | | | op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) & % 23.23/4.06 | | | | | | | $i(all_4_151) & $i(all_4_161)) % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | BETA: splitting (456) gives: % 23.23/4.06 | | | | | | | % 23.23/4.06 | | | | | | | Case 1: % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | (457) ~ (all_4_58 = all_4_59) & op(all_4_151, e0) = all_4_59 % 23.23/4.06 | | | | | | | | & op(e3, e0) = all_4_150 & op(e2, all_4_150) = all_4_58 % 23.23/4.06 | | | | | | | | & op(e2, e3) = all_4_151 & $i(all_4_58) & $i(all_4_59) % 23.23/4.06 | | | | | | | | & $i(all_4_150) & $i(all_4_151) % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | ALPHA: (457) implies: % 23.23/4.06 | | | | | | | | (458) ~ (all_4_58 = all_4_59) % 23.23/4.06 | | | | | | | | (459) op(e2, e3) = all_4_151 % 23.23/4.06 | | | | | | | | (460) op(e2, all_4_150) = all_4_58 % 23.23/4.06 | | | | | | | | (461) op(e3, e0) = all_4_150 % 23.23/4.06 | | | | | | | | (462) op(all_4_151, e0) = all_4_59 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.06 | | | | | | | | simplifying with (12), (459) gives: % 23.23/4.06 | | | | | | | | (463) all_4_151 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.23/4.06 | | | | | | | | simplifying with (14), (461) gives: % 23.23/4.06 | | | | | | | | (464) all_4_150 = e3 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (462), (463) imply: % 23.23/4.06 | | | | | | | | (465) op(e1, e0) = all_4_59 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (460), (464) imply: % 23.23/4.06 | | | | | | | | (466) op(e2, e3) = all_4_58 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_59, e0, e1, % 23.23/4.06 | | | | | | | | simplifying with (2), (465) gives: % 23.23/4.06 | | | | | | | | (467) all_4_59 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_58, e3, e2, % 23.23/4.06 | | | | | | | | simplifying with (12), (466) gives: % 23.23/4.06 | | | | | | | | (468) all_4_58 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (458), (467), (468) imply: % 23.23/4.06 | | | | | | | | (469) $false % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | CLOSE: (469) is inconsistent. % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | Case 2: % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | (470) ~ (all_4_60 = all_4_61) & op(all_4_161, e3) = all_4_61 % 23.23/4.06 | | | | | | | | & op(e2, all_4_151) = all_4_60 & op(e2, e3) = all_4_151 % 23.23/4.06 | | | | | | | | & op(e2, e2) = all_4_161 & $i(all_4_60) & $i(all_4_61) % 23.23/4.06 | | | | | | | | & $i(all_4_151) & $i(all_4_161) % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | ALPHA: (470) implies: % 23.23/4.06 | | | | | | | | (471) ~ (all_4_60 = all_4_61) % 23.23/4.06 | | | | | | | | (472) op(e2, e2) = all_4_161 % 23.23/4.06 | | | | | | | | (473) op(e2, e3) = all_4_151 % 23.23/4.06 | | | | | | | | (474) op(e2, all_4_151) = all_4_60 % 23.23/4.06 | | | | | | | | (475) op(all_4_161, e3) = all_4_61 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.23/4.06 | | | | | | | | simplifying with (11), (472) gives: % 23.23/4.06 | | | | | | | | (476) all_4_161 = e0 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.23/4.06 | | | | | | | | simplifying with (12), (473) gives: % 23.23/4.06 | | | | | | | | (477) all_4_151 = e1 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (475), (476) imply: % 23.23/4.06 | | | | | | | | (478) op(e0, e3) = all_4_61 % 23.23/4.06 | | | | | | | | % 23.23/4.06 | | | | | | | | REDUCE: (474), (477) imply: % 23.23/4.07 | | | | | | | | (479) op(e2, e1) = all_4_60 % 23.23/4.07 | | | | | | | | % 23.23/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_61, e3, e0, % 23.23/4.07 | | | | | | | | simplifying with (8), (478) gives: % 23.23/4.07 | | | | | | | | (480) all_4_61 = e3 % 23.23/4.07 | | | | | | | | % 23.23/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_60, e1, e2, % 23.23/4.07 | | | | | | | | simplifying with (9), (479) gives: % 23.23/4.07 | | | | | | | | (481) all_4_60 = e3 % 23.23/4.07 | | | | | | | | % 23.23/4.07 | | | | | | | | REDUCE: (471), (480), (481) imply: % 23.23/4.07 | | | | | | | | (482) $false % 23.23/4.07 | | | | | | | | % 23.23/4.07 | | | | | | | | CLOSE: (482) is inconsistent. % 23.23/4.07 | | | | | | | | % 23.23/4.07 | | | | | | | End of split % 23.23/4.07 | | | | | | | % 23.23/4.07 | | | | | | End of split % 23.23/4.07 | | | | | | % 23.23/4.07 | | | | | Case 2: % 23.23/4.07 | | | | | | % 23.80/4.07 | | | | | | (483) ( ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63 & % 23.80/4.07 | | | | | | op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 & % 23.80/4.07 | | | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161)) | ( ~ % 23.80/4.07 | | | | | | (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 & % 23.80/4.07 | | | | | | op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 & % 23.80/4.07 | | | | | | op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) & % 23.80/4.07 | | | | | | $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 = % 23.80/4.07 | | | | | | all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2, % 23.80/4.07 | | | | | | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & op(e2, % 23.80/4.07 | | | | | | e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) & % 23.80/4.07 | | | | | | $i(all_4_153) & $i(all_4_161)) % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | | BETA: splitting (483) gives: % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | | Case 1: % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | (484) ~ (all_4_62 = all_4_63) & op(all_4_161, e2) = all_4_63 & % 23.80/4.07 | | | | | | | op(e2, all_4_161) = all_4_62 & op(e2, e2) = all_4_161 & % 23.80/4.07 | | | | | | | $i(all_4_62) & $i(all_4_63) & $i(all_4_161) % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | ALPHA: (484) implies: % 23.80/4.07 | | | | | | | (485) ~ (all_4_62 = all_4_63) % 23.80/4.07 | | | | | | | (486) op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | (487) op(e2, all_4_161) = all_4_62 % 23.80/4.07 | | | | | | | (488) op(all_4_161, e2) = all_4_63 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.80/4.07 | | | | | | | simplifying with (11), (486) gives: % 23.80/4.07 | | | | | | | (489) all_4_161 = e0 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (488), (489) imply: % 23.80/4.07 | | | | | | | (490) op(e0, e2) = all_4_63 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (487), (489) imply: % 23.80/4.07 | | | | | | | (491) op(e2, e0) = all_4_62 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_63, e2, e0, % 23.80/4.07 | | | | | | | simplifying with (7), (490) gives: % 23.80/4.07 | | | | | | | (492) all_4_63 = e2 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_62, e0, e2, % 23.80/4.07 | | | | | | | simplifying with (10), (491) gives: % 23.80/4.07 | | | | | | | (493) all_4_62 = e2 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (485), (492), (493) imply: % 23.80/4.07 | | | | | | | (494) $false % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | CLOSE: (494) is inconsistent. % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | Case 2: % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | (495) ( ~ (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 % 23.80/4.07 | | | | | | | & op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) % 23.80/4.07 | | | | | | | & $i(all_4_152) & $i(all_4_161)) | ( ~ (all_4_66 = % 23.80/4.07 | | | | | | | all_4_67) & op(all_4_161, e0) = all_4_67 & op(e2, % 23.80/4.07 | | | | | | | all_4_153) = all_4_66 & op(e2, e2) = all_4_161 & % 23.80/4.07 | | | | | | | op(e2, e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) & % 23.80/4.07 | | | | | | | $i(all_4_153) & $i(all_4_161)) % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | BETA: splitting (495) gives: % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | Case 1: % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | (496) ~ (all_4_64 = all_4_65) & op(all_4_161, e1) = all_4_65 % 23.80/4.07 | | | | | | | | & op(e2, all_4_152) = all_4_64 & op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | | & op(e2, e1) = all_4_152 & $i(all_4_64) & $i(all_4_65) % 23.80/4.07 | | | | | | | | & $i(all_4_152) & $i(all_4_161) % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | ALPHA: (496) implies: % 23.80/4.07 | | | | | | | | (497) ~ (all_4_64 = all_4_65) % 23.80/4.07 | | | | | | | | (498) op(e2, e1) = all_4_152 % 23.80/4.07 | | | | | | | | (499) op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | | (500) op(e2, all_4_152) = all_4_64 % 23.80/4.07 | | | | | | | | (501) op(all_4_161, e1) = all_4_65 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.07 | | | | | | | | simplifying with (9), (498) gives: % 23.80/4.07 | | | | | | | | (502) all_4_152 = e3 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.80/4.07 | | | | | | | | simplifying with (11), (499) gives: % 23.80/4.07 | | | | | | | | (503) all_4_161 = e0 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (501), (503) imply: % 23.80/4.07 | | | | | | | | (504) op(e0, e1) = all_4_65 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (500), (502) imply: % 23.80/4.07 | | | | | | | | (505) op(e2, e3) = all_4_64 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_65, e1, e0, % 23.80/4.07 | | | | | | | | simplifying with (5), (504) gives: % 23.80/4.07 | | | | | | | | (506) all_4_65 = e1 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_64, e3, e2, % 23.80/4.07 | | | | | | | | simplifying with (12), (505) gives: % 23.80/4.07 | | | | | | | | (507) all_4_64 = e1 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (497), (506), (507) imply: % 23.80/4.07 | | | | | | | | (508) $false % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | CLOSE: (508) is inconsistent. % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | Case 2: % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | (509) ~ (all_4_66 = all_4_67) & op(all_4_161, e0) = all_4_67 % 23.80/4.07 | | | | | | | | & op(e2, all_4_153) = all_4_66 & op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | | & op(e2, e0) = all_4_153 & $i(all_4_66) & $i(all_4_67) % 23.80/4.07 | | | | | | | | & $i(all_4_153) & $i(all_4_161) % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | ALPHA: (509) implies: % 23.80/4.07 | | | | | | | | (510) ~ (all_4_66 = all_4_67) % 23.80/4.07 | | | | | | | | (511) op(e2, e0) = all_4_153 % 23.80/4.07 | | | | | | | | (512) op(e2, e2) = all_4_161 % 23.80/4.07 | | | | | | | | (513) op(e2, all_4_153) = all_4_66 % 23.80/4.07 | | | | | | | | (514) op(all_4_161, e0) = all_4_67 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.07 | | | | | | | | simplifying with (10), (511) gives: % 23.80/4.07 | | | | | | | | (515) all_4_153 = e2 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.80/4.07 | | | | | | | | simplifying with (11), (512) gives: % 23.80/4.07 | | | | | | | | (516) all_4_161 = e0 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (514), (516) imply: % 23.80/4.07 | | | | | | | | (517) op(e0, e0) = all_4_67 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (513), (515) imply: % 23.80/4.07 | | | | | | | | (518) op(e2, e2) = all_4_66 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_67, e0, e0, % 23.80/4.07 | | | | | | | | simplifying with (6), (517) gives: % 23.80/4.07 | | | | | | | | (519) all_4_67 = e0 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_66, e2, e2, % 23.80/4.07 | | | | | | | | simplifying with (11), (518) gives: % 23.80/4.07 | | | | | | | | (520) all_4_66 = e0 % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | REDUCE: (510), (519), (520) imply: % 23.80/4.07 | | | | | | | | (521) $false % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | | CLOSE: (521) is inconsistent. % 23.80/4.07 | | | | | | | | % 23.80/4.07 | | | | | | | End of split % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | End of split % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | End of split % 23.80/4.07 | | | | | % 23.80/4.07 | | | | Case 2: % 23.80/4.07 | | | | | % 23.80/4.07 | | | | | (522) ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = all_4_69 & % 23.80/4.07 | | | | | op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & % 23.80/4.07 | | | | | op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) & % 23.80/4.07 | | | | | $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 = all_4_71) % 23.80/4.07 | | | | | & op(all_4_152, e2) = all_4_71 & op(e2, all_4_155) = % 23.80/4.07 | | | | | all_4_70 & op(e2, e1) = all_4_152 & op(e1, e2) = all_4_155 % 23.80/4.07 | | | | | & $i(all_4_70) & $i(all_4_71) & $i(all_4_152) & % 23.80/4.07 | | | | | $i(all_4_155)) | ( ~ (all_4_72 = all_4_73) & op(all_4_152, % 23.80/4.07 | | | | | e1) = all_4_73 & op(e2, all_4_162) = all_4_72 & op(e2, % 23.80/4.07 | | | | | e1) = all_4_152 & op(e1, e1) = all_4_162 & $i(all_4_72) & % 23.80/4.07 | | | | | $i(all_4_73) & $i(all_4_152) & $i(all_4_162)) | ( ~ % 23.80/4.07 | | | | | (all_4_74 = all_4_75) & op(all_4_152, e0) = all_4_75 & % 23.80/4.07 | | | | | op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 & % 23.80/4.07 | | | | | op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) & % 23.80/4.07 | | | | | $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 = all_4_77) % 23.80/4.07 | | | | | & op(all_4_153, e3) = all_4_77 & op(e2, all_4_157) = % 23.80/4.07 | | | | | all_4_76 & op(e2, e0) = all_4_153 & op(e0, e3) = all_4_157 % 23.80/4.07 | | | | | & $i(all_4_76) & $i(all_4_77) & $i(all_4_153) & % 23.80/4.07 | | | | | $i(all_4_157)) | ( ~ (all_4_78 = all_4_79) & op(all_4_153, % 23.80/4.07 | | | | | e2) = all_4_79 & op(e2, all_4_158) = all_4_78 & op(e2, % 23.80/4.07 | | | | | e0) = all_4_153 & op(e0, e2) = all_4_158 & $i(all_4_78) & % 23.80/4.07 | | | | | $i(all_4_79) & $i(all_4_153) & $i(all_4_158)) | ( ~ % 23.80/4.07 | | | | | (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 & % 23.80/4.07 | | | | | op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & % 23.80/4.07 | | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & % 23.80/4.07 | | | | | $i(all_4_153) & $i(all_4_159)) % 23.80/4.07 | | | | | % 23.80/4.07 | | | | | BETA: splitting (522) gives: % 23.80/4.07 | | | | | % 23.80/4.07 | | | | | Case 1: % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | | (523) ( ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = all_4_69 & % 23.80/4.07 | | | | | | op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & % 23.80/4.07 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) & % 23.80/4.07 | | | | | | $i(all_4_152) & $i(all_4_154)) | ( ~ (all_4_70 = % 23.80/4.07 | | | | | | all_4_71) & op(all_4_152, e2) = all_4_71 & op(e2, % 23.80/4.07 | | | | | | all_4_155) = all_4_70 & op(e2, e1) = all_4_152 & op(e1, % 23.80/4.07 | | | | | | e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) & % 23.80/4.07 | | | | | | $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_72 = % 23.80/4.07 | | | | | | all_4_73) & op(all_4_152, e1) = all_4_73 & op(e2, % 23.80/4.07 | | | | | | all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & op(e1, % 23.80/4.07 | | | | | | e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) & % 23.80/4.07 | | | | | | $i(all_4_152) & $i(all_4_162)) % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | | BETA: splitting (523) gives: % 23.80/4.07 | | | | | | % 23.80/4.07 | | | | | | Case 1: % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | (524) ~ (all_4_68 = all_4_69) & op(all_4_152, e3) = all_4_69 & % 23.80/4.07 | | | | | | | op(e2, all_4_154) = all_4_68 & op(e2, e1) = all_4_152 & % 23.80/4.07 | | | | | | | op(e1, e3) = all_4_154 & $i(all_4_68) & $i(all_4_69) & % 23.80/4.07 | | | | | | | $i(all_4_152) & $i(all_4_154) % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | ALPHA: (524) implies: % 23.80/4.07 | | | | | | | (525) ~ (all_4_68 = all_4_69) % 23.80/4.07 | | | | | | | (526) op(e1, e3) = all_4_154 % 23.80/4.07 | | | | | | | (527) op(e2, e1) = all_4_152 % 23.80/4.07 | | | | | | | (528) op(e2, all_4_154) = all_4_68 % 23.80/4.07 | | | | | | | (529) op(all_4_152, e3) = all_4_69 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.07 | | | | | | | simplifying with (4), (526) gives: % 23.80/4.07 | | | | | | | (530) all_4_154 = e2 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.07 | | | | | | | simplifying with (9), (527) gives: % 23.80/4.07 | | | | | | | (531) all_4_152 = e3 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (529), (531) imply: % 23.80/4.07 | | | | | | | (532) op(e3, e3) = all_4_69 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (528), (530) imply: % 23.80/4.07 | | | | | | | (533) op(e2, e2) = all_4_68 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_68, e2, e2, % 23.80/4.07 | | | | | | | simplifying with (11), (533) gives: % 23.80/4.07 | | | | | | | (534) all_4_68 = e0 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_69, e3, e3, % 23.80/4.07 | | | | | | | simplifying with (16), (532) gives: % 23.80/4.07 | | | | | | | (535) all_4_69 = e0 % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | REDUCE: (525), (534), (535) imply: % 23.80/4.07 | | | | | | | (536) $false % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | CLOSE: (536) is inconsistent. % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | Case 2: % 23.80/4.07 | | | | | | | % 23.80/4.07 | | | | | | | (537) ( ~ (all_4_70 = all_4_71) & op(all_4_152, e2) = all_4_71 % 23.80/4.08 | | | | | | | & op(e2, all_4_155) = all_4_70 & op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) % 23.80/4.08 | | | | | | | & $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_72 = % 23.80/4.08 | | | | | | | all_4_73) & op(all_4_152, e1) = all_4_73 & op(e2, % 23.80/4.08 | | | | | | | all_4_162) = all_4_72 & op(e2, e1) = all_4_152 & % 23.80/4.08 | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) & % 23.80/4.08 | | | | | | | $i(all_4_152) & $i(all_4_162)) % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | BETA: splitting (537) gives: % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | Case 1: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (538) ~ (all_4_70 = all_4_71) & op(all_4_152, e2) = all_4_71 % 23.80/4.08 | | | | | | | | & op(e2, all_4_155) = all_4_70 & op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_70) & $i(all_4_71) % 23.80/4.08 | | | | | | | | & $i(all_4_152) & $i(all_4_155) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (538) implies: % 23.80/4.08 | | | | | | | | (539) ~ (all_4_70 = all_4_71) % 23.80/4.08 | | | | | | | | (540) op(e1, e2) = all_4_155 % 23.80/4.08 | | | | | | | | (541) op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | (542) op(e2, all_4_155) = all_4_70 % 23.80/4.08 | | | | | | | | (543) op(all_4_152, e2) = all_4_71 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.08 | | | | | | | | simplifying with (3), (540) gives: % 23.80/4.08 | | | | | | | | (544) all_4_155 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.08 | | | | | | | | simplifying with (9), (541) gives: % 23.80/4.08 | | | | | | | | (545) all_4_152 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (543), (545) imply: % 23.80/4.08 | | | | | | | | (546) op(e3, e2) = all_4_71 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (542), (544) imply: % 23.80/4.08 | | | | | | | | (547) op(e2, e3) = all_4_70 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_70, e3, e2, % 23.80/4.08 | | | | | | | | simplifying with (12), (547) gives: % 23.80/4.08 | | | | | | | | (548) all_4_70 = e1 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_71, e2, e3, % 23.80/4.08 | | | | | | | | simplifying with (15), (546) gives: % 23.80/4.08 | | | | | | | | (549) all_4_71 = e1 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (539), (548), (549) imply: % 23.80/4.08 | | | | | | | | (550) $false % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | CLOSE: (550) is inconsistent. % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | Case 2: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (551) ~ (all_4_72 = all_4_73) & op(all_4_152, e1) = all_4_73 % 23.80/4.08 | | | | | | | | & op(e2, all_4_162) = all_4_72 & op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_72) & $i(all_4_73) % 23.80/4.08 | | | | | | | | & $i(all_4_152) & $i(all_4_162) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (551) implies: % 23.80/4.08 | | | | | | | | (552) ~ (all_4_72 = all_4_73) % 23.80/4.08 | | | | | | | | (553) op(e1, e1) = all_4_162 % 23.80/4.08 | | | | | | | | (554) op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | (555) op(e2, all_4_162) = all_4_72 % 23.80/4.08 | | | | | | | | (556) op(all_4_152, e1) = all_4_73 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.80/4.08 | | | | | | | | simplifying with (1), (553) gives: % 23.80/4.08 | | | | | | | | (557) all_4_162 = e0 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.08 | | | | | | | | simplifying with (9), (554) gives: % 23.80/4.08 | | | | | | | | (558) all_4_152 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (556), (558) imply: % 23.80/4.08 | | | | | | | | (559) op(e3, e1) = all_4_73 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (555), (557) imply: % 23.80/4.08 | | | | | | | | (560) op(e2, e0) = all_4_72 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_72, e0, e2, % 23.80/4.08 | | | | | | | | simplifying with (10), (560) gives: % 23.80/4.08 | | | | | | | | (561) all_4_72 = e2 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_73, e1, e3, % 23.80/4.08 | | | | | | | | simplifying with (13), (559) gives: % 23.80/4.08 | | | | | | | | (562) all_4_73 = e2 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (552), (561), (562) imply: % 23.80/4.08 | | | | | | | | (563) $false % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | CLOSE: (563) is inconsistent. % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | End of split % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | End of split % 23.80/4.08 | | | | | | % 23.80/4.08 | | | | | Case 2: % 23.80/4.08 | | | | | | % 23.80/4.08 | | | | | | (564) ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0) = all_4_75 & % 23.80/4.08 | | | | | | op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 & % 23.80/4.08 | | | | | | op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) & % 23.80/4.08 | | | | | | $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 = % 23.80/4.08 | | | | | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, % 23.80/4.08 | | | | | | all_4_157) = all_4_76 & op(e2, e0) = all_4_153 & op(e0, % 23.80/4.08 | | | | | | e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) & % 23.80/4.08 | | | | | | $i(all_4_153) & $i(all_4_157)) | ( ~ (all_4_78 = % 23.80/4.08 | | | | | | all_4_79) & op(all_4_153, e2) = all_4_79 & op(e2, % 23.80/4.08 | | | | | | all_4_158) = all_4_78 & op(e2, e0) = all_4_153 & op(e0, % 23.80/4.08 | | | | | | e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) & % 23.80/4.08 | | | | | | $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_80 = % 23.80/4.08 | | | | | | all_4_81) & op(all_4_153, e1) = all_4_81 & op(e2, % 23.80/4.08 | | | | | | all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & op(e0, % 23.80/4.08 | | | | | | e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & % 23.80/4.08 | | | | | | $i(all_4_153) & $i(all_4_159)) % 23.80/4.08 | | | | | | % 23.80/4.08 | | | | | | BETA: splitting (564) gives: % 23.80/4.08 | | | | | | % 23.80/4.08 | | | | | | Case 1: % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | (565) ( ~ (all_4_74 = all_4_75) & op(all_4_152, e0) = all_4_75 % 23.80/4.08 | | | | | | | & op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) % 23.80/4.08 | | | | | | | & $i(all_4_152) & $i(all_4_156)) | ( ~ (all_4_76 = % 23.80/4.08 | | | | | | | all_4_77) & op(all_4_153, e3) = all_4_77 & op(e2, % 23.80/4.08 | | | | | | | all_4_157) = all_4_76 & op(e2, e0) = all_4_153 & % 23.80/4.08 | | | | | | | op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) & % 23.80/4.08 | | | | | | | $i(all_4_153) & $i(all_4_157)) % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | BETA: splitting (565) gives: % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | Case 1: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (566) ~ (all_4_74 = all_4_75) & op(all_4_152, e0) = all_4_75 % 23.80/4.08 | | | | | | | | & op(e2, all_4_156) = all_4_74 & op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_74) & $i(all_4_75) % 23.80/4.08 | | | | | | | | & $i(all_4_152) & $i(all_4_156) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (566) implies: % 23.80/4.08 | | | | | | | | (567) ~ (all_4_74 = all_4_75) % 23.80/4.08 | | | | | | | | (568) op(e1, e0) = all_4_156 % 23.80/4.08 | | | | | | | | (569) op(e2, e1) = all_4_152 % 23.80/4.08 | | | | | | | | (570) op(e2, all_4_156) = all_4_74 % 23.80/4.08 | | | | | | | | (571) op(all_4_152, e0) = all_4_75 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.08 | | | | | | | | simplifying with (2), (568) gives: % 23.80/4.08 | | | | | | | | (572) all_4_156 = e1 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.08 | | | | | | | | simplifying with (9), (569) gives: % 23.80/4.08 | | | | | | | | (573) all_4_152 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (571), (573) imply: % 23.80/4.08 | | | | | | | | (574) op(e3, e0) = all_4_75 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (570), (572) imply: % 23.80/4.08 | | | | | | | | (575) op(e2, e1) = all_4_74 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_74, e1, e2, % 23.80/4.08 | | | | | | | | simplifying with (9), (575) gives: % 23.80/4.08 | | | | | | | | (576) all_4_74 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_75, e0, e3, % 23.80/4.08 | | | | | | | | simplifying with (14), (574) gives: % 23.80/4.08 | | | | | | | | (577) all_4_75 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (567), (576), (577) imply: % 23.80/4.08 | | | | | | | | (578) $false % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | CLOSE: (578) is inconsistent. % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | Case 2: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (579) ~ (all_4_76 = all_4_77) & op(all_4_153, e3) = all_4_77 % 23.80/4.08 | | | | | | | | & op(e2, all_4_157) = all_4_76 & op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_76) & $i(all_4_77) % 23.80/4.08 | | | | | | | | & $i(all_4_153) & $i(all_4_157) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (579) implies: % 23.80/4.08 | | | | | | | | (580) ~ (all_4_76 = all_4_77) % 23.80/4.08 | | | | | | | | (581) op(e0, e3) = all_4_157 % 23.80/4.08 | | | | | | | | (582) op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | (583) op(e2, all_4_157) = all_4_76 % 23.80/4.08 | | | | | | | | (584) op(all_4_153, e3) = all_4_77 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.08 | | | | | | | | simplifying with (8), (581) gives: % 23.80/4.08 | | | | | | | | (585) all_4_157 = e3 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.08 | | | | | | | | simplifying with (10), (582) gives: % 23.80/4.08 | | | | | | | | (586) all_4_153 = e2 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (584), (586) imply: % 23.80/4.08 | | | | | | | | (587) op(e2, e3) = all_4_77 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (583), (585) imply: % 23.80/4.08 | | | | | | | | (588) op(e2, e3) = all_4_76 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_76, e3, e2, % 23.80/4.08 | | | | | | | | simplifying with (12), (588) gives: % 23.80/4.08 | | | | | | | | (589) all_4_76 = e1 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with all_4_77, all_4_76, e3, e2, % 23.80/4.08 | | | | | | | | simplifying with (587), (588) gives: % 23.80/4.08 | | | | | | | | (590) all_4_76 = all_4_77 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | COMBINE_EQS: (589), (590) imply: % 23.80/4.08 | | | | | | | | (591) all_4_77 = e1 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (580), (589), (591) imply: % 23.80/4.08 | | | | | | | | (592) $false % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | CLOSE: (592) is inconsistent. % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | End of split % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | Case 2: % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | (593) ( ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 % 23.80/4.08 | | | | | | | & op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) % 23.80/4.08 | | | | | | | & $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_80 = % 23.80/4.08 | | | | | | | all_4_81) & op(all_4_153, e1) = all_4_81 & op(e2, % 23.80/4.08 | | | | | | | all_4_159) = all_4_80 & op(e2, e0) = all_4_153 & % 23.80/4.08 | | | | | | | op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) & % 23.80/4.08 | | | | | | | $i(all_4_153) & $i(all_4_159)) % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | BETA: splitting (593) gives: % 23.80/4.08 | | | | | | | % 23.80/4.08 | | | | | | | Case 1: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (594) ~ (all_4_78 = all_4_79) & op(all_4_153, e2) = all_4_79 % 23.80/4.08 | | | | | | | | & op(e2, all_4_158) = all_4_78 & op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_78) & $i(all_4_79) % 23.80/4.08 | | | | | | | | & $i(all_4_153) & $i(all_4_158) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (594) implies: % 23.80/4.08 | | | | | | | | (595) ~ (all_4_78 = all_4_79) % 23.80/4.08 | | | | | | | | (596) op(e0, e2) = all_4_158 % 23.80/4.08 | | | | | | | | (597) op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | (598) op(e2, all_4_158) = all_4_78 % 23.80/4.08 | | | | | | | | (599) op(all_4_153, e2) = all_4_79 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 23.80/4.08 | | | | | | | | simplifying with (7), (596) gives: % 23.80/4.08 | | | | | | | | (600) all_4_158 = e2 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.08 | | | | | | | | simplifying with (10), (597) gives: % 23.80/4.08 | | | | | | | | (601) all_4_153 = e2 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (599), (601) imply: % 23.80/4.08 | | | | | | | | (602) op(e2, e2) = all_4_79 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (598), (600) imply: % 23.80/4.08 | | | | | | | | (603) op(e2, e2) = all_4_78 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_78, e2, e2, % 23.80/4.08 | | | | | | | | simplifying with (11), (603) gives: % 23.80/4.08 | | | | | | | | (604) all_4_78 = e0 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | GROUND_INST: instantiating (24) with all_4_79, all_4_78, e2, e2, % 23.80/4.08 | | | | | | | | simplifying with (602), (603) gives: % 23.80/4.08 | | | | | | | | (605) all_4_78 = all_4_79 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | COMBINE_EQS: (604), (605) imply: % 23.80/4.08 | | | | | | | | (606) all_4_79 = e0 % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | REDUCE: (595), (604), (606) imply: % 23.80/4.08 | | | | | | | | (607) $false % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | CLOSE: (607) is inconsistent. % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | Case 2: % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | (608) ~ (all_4_80 = all_4_81) & op(all_4_153, e1) = all_4_81 % 23.80/4.08 | | | | | | | | & op(e2, all_4_159) = all_4_80 & op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | & op(e0, e1) = all_4_159 & $i(all_4_80) & $i(all_4_81) % 23.80/4.08 | | | | | | | | & $i(all_4_153) & $i(all_4_159) % 23.80/4.08 | | | | | | | | % 23.80/4.08 | | | | | | | | ALPHA: (608) implies: % 23.80/4.08 | | | | | | | | (609) ~ (all_4_80 = all_4_81) % 23.80/4.08 | | | | | | | | (610) op(e0, e1) = all_4_159 % 23.80/4.08 | | | | | | | | (611) op(e2, e0) = all_4_153 % 23.80/4.08 | | | | | | | | (612) op(e2, all_4_159) = all_4_80 % 23.80/4.08 | | | | | | | | (613) op(all_4_153, e1) = all_4_81 % 23.80/4.08 | | | | | | | | % 23.80/4.09 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 23.80/4.09 | | | | | | | | simplifying with (5), (610) gives: % 23.80/4.09 | | | | | | | | (614) all_4_159 = e1 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.09 | | | | | | | | simplifying with (10), (611) gives: % 23.80/4.09 | | | | | | | | (615) all_4_153 = e2 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | REDUCE: (613), (615) imply: % 23.80/4.09 | | | | | | | | (616) op(e2, e1) = all_4_81 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | REDUCE: (612), (614) imply: % 23.80/4.09 | | | | | | | | (617) op(e2, e1) = all_4_80 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_80, e1, e2, % 23.80/4.09 | | | | | | | | simplifying with (9), (617) gives: % 23.80/4.09 | | | | | | | | (618) all_4_80 = e3 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | GROUND_INST: instantiating (24) with all_4_81, all_4_80, e1, e2, % 23.80/4.09 | | | | | | | | simplifying with (616), (617) gives: % 23.80/4.09 | | | | | | | | (619) all_4_80 = all_4_81 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | COMBINE_EQS: (618), (619) imply: % 23.80/4.09 | | | | | | | | (620) all_4_81 = e3 % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | REDUCE: (609), (618), (620) imply: % 23.80/4.09 | | | | | | | | (621) $false % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | | CLOSE: (621) is inconsistent. % 23.80/4.09 | | | | | | | | % 23.80/4.09 | | | | | | | End of split % 23.80/4.09 | | | | | | | % 23.80/4.09 | | | | | | End of split % 23.80/4.09 | | | | | | % 23.80/4.09 | | | | | End of split % 23.80/4.09 | | | | | % 23.80/4.09 | | | | End of split % 23.80/4.09 | | | | % 23.80/4.09 | | | End of split % 23.80/4.09 | | | % 23.80/4.09 | | End of split % 23.80/4.09 | | % 23.80/4.09 | Case 2: % 23.80/4.09 | | % 23.80/4.09 | | (622) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & op(e2, % 23.80/4.09 | | all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & op(e0, e0) = % 23.80/4.09 | | all_4_163 & $i(all_4_82) & $i(all_4_83) & $i(all_4_153) & % 23.80/4.09 | | $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = % 23.80/4.09 | | all_4_85 & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 % 23.80/4.09 | | & op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) & % 23.80/4.09 | | $i(all_4_154) & $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & % 23.80/4.09 | | op(all_4_154, e2) = all_4_87 & op(e3, e2) = all_4_148 & op(e1, % 23.80/4.09 | | all_4_148) = all_4_86 & op(e1, e3) = all_4_154 & $i(all_4_86) & % 23.80/4.09 | | $i(all_4_87) & $i(all_4_148) & $i(all_4_154)) | ( ~ (all_4_88 = % 23.80/4.09 | | all_4_89) & op(all_4_154, e1) = all_4_89 & op(e3, e1) = % 23.80/4.09 | | all_4_149 & op(e1, all_4_149) = all_4_88 & op(e1, e3) = all_4_154 % 23.80/4.09 | | & $i(all_4_88) & $i(all_4_89) & $i(all_4_149) & $i(all_4_154)) | % 23.80/4.09 | | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = all_4_91 & op(e3, % 23.80/4.09 | | e0) = all_4_150 & op(e1, all_4_150) = all_4_90 & op(e1, e3) = % 23.80/4.09 | | all_4_154 & $i(all_4_90) & $i(all_4_91) & $i(all_4_150) & % 23.80/4.09 | | $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = % 23.80/4.09 | | all_4_93 & op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 % 23.80/4.09 | | & op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) & % 23.80/4.09 | | $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 = all_4_95) & % 23.80/4.09 | | op(all_4_155, e2) = all_4_95 & op(e2, e2) = all_4_161 & op(e1, % 23.80/4.09 | | all_4_161) = all_4_94 & op(e1, e2) = all_4_155 & $i(all_4_94) & % 23.80/4.09 | | $i(all_4_95) & $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96 = % 23.80/4.09 | | all_4_97) & op(all_4_155, e1) = all_4_97 & op(e2, e1) = % 23.80/4.09 | | all_4_152 & op(e1, all_4_152) = all_4_96 & op(e1, e2) = all_4_155 % 23.80/4.09 | | & $i(all_4_96) & $i(all_4_97) & $i(all_4_152) & $i(all_4_155)) | % 23.80/4.09 | | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = all_4_99 & op(e2, % 23.80/4.09 | | e0) = all_4_153 & op(e1, all_4_153) = all_4_98 & op(e1, e2) = % 23.80/4.09 | | all_4_155 & $i(all_4_98) & $i(all_4_99) & $i(all_4_153) & % 23.80/4.09 | | $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) % 23.80/4.09 | | = all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3) = % 23.80/4.09 | | all_4_154 & op(e1, e1) = all_4_162 & $i(all_4_100) & % 23.80/4.09 | | $i(all_4_101) & $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = % 23.80/4.09 | | all_4_103) & op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) % 23.80/4.09 | | = all_4_102 & op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 & % 23.80/4.09 | | $i(all_4_102) & $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | % 23.80/4.09 | | ( ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 & % 23.80/4.09 | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 & % 23.80/4.09 | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~ (all_4_106 = % 23.80/4.09 | | all_4_107) & op(all_4_162, e0) = all_4_107 & op(e1, all_4_156) % 23.80/4.09 | | = all_4_106 & op(e1, e0) = all_4_156 & op(e1, e1) = all_4_162 & % 23.80/4.09 | | $i(all_4_106) & $i(all_4_107) & $i(all_4_156) & $i(all_4_162)) | % 23.80/4.09 | | ( ~ (all_4_108 = all_4_109) & op(all_4_156, e3) = all_4_109 & % 23.80/4.09 | | op(e0, e3) = all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, % 23.80/4.09 | | e0) = all_4_156 & $i(all_4_108) & $i(all_4_109) & $i(all_4_156) % 23.80/4.09 | | & $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & op(all_4_156, % 23.80/4.09 | | e2) = all_4_111 & op(e0, e2) = all_4_158 & op(e1, all_4_158) = % 23.80/4.09 | | all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) & % 23.80/4.09 | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) | ( ~ (all_4_112 = % 23.80/4.09 | | all_4_113) & op(all_4_156, e1) = all_4_113 & op(e0, e1) = % 23.80/4.09 | | all_4_159 & op(e1, all_4_159) = all_4_112 & op(e1, e0) = % 23.80/4.09 | | all_4_156 & $i(all_4_112) & $i(all_4_113) & $i(all_4_156) & % 23.80/4.09 | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & op(all_4_156, e0) % 23.80/4.09 | | = all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163) = % 23.80/4.09 | | all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) & % 23.80/4.09 | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163)) | ( ~ (all_4_116 = % 23.80/4.09 | | all_4_117) & op(all_4_157, e3) = all_4_117 & op(e3, e3) = % 23.80/4.09 | | all_4_160 & op(e0, all_4_160) = all_4_116 & op(e0, e3) = % 23.80/4.09 | | all_4_157 & $i(all_4_116) & $i(all_4_117) & $i(all_4_157) & % 23.80/4.09 | | $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & op(all_4_157, e2) % 23.80/4.09 | | = all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148) = % 23.80/4.09 | | all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) & % 23.80/4.09 | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 = % 23.80/4.09 | | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) = % 23.80/4.09 | | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) = % 23.80/4.09 | | all_4_157 & $i(all_4_120) & $i(all_4_121) & $i(all_4_149) & % 23.80/4.09 | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & op(all_4_157, e0) % 23.80/4.09 | | = all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150) = % 23.80/4.09 | | all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) & % 23.80/4.09 | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) | ( ~ (all_4_124 = % 23.80/4.09 | | all_4_125) & op(all_4_158, e3) = all_4_125 & op(e2, e3) = % 23.80/4.09 | | all_4_151 & op(e0, all_4_151) = all_4_124 & op(e0, e2) = % 23.80/4.09 | | all_4_158 & $i(all_4_124) & $i(all_4_125) & $i(all_4_151) & % 23.80/4.09 | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158, e2) % 23.80/4.09 | | = all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161) = % 23.80/4.09 | | all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) & % 23.80/4.09 | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 = % 23.80/4.09 | | all_4_129) & op(all_4_158, e1) = all_4_129 & op(e2, e1) = % 23.80/4.09 | | all_4_152 & op(e0, all_4_152) = all_4_128 & op(e0, e2) = % 23.80/4.09 | | all_4_158 & $i(all_4_128) & $i(all_4_129) & $i(all_4_152) & % 23.80/4.09 | | $i(all_4_158)) | ( ~ (all_4_130 = all_4_131) & op(all_4_158, e0) % 23.80/4.09 | | = all_4_131 & op(e2, e0) = all_4_153 & op(e0, all_4_153) = % 23.80/4.09 | | all_4_130 & op(e0, e2) = all_4_158 & $i(all_4_130) & % 23.80/4.09 | | $i(all_4_131) & $i(all_4_153) & $i(all_4_158)) | ( ~ (all_4_132 = % 23.80/4.09 | | all_4_133) & op(all_4_159, e3) = all_4_133 & op(e0, all_4_154) % 23.80/4.09 | | = all_4_132 & op(e0, e1) = all_4_159 & op(e1, e3) = all_4_154 & % 23.80/4.09 | | $i(all_4_132) & $i(all_4_133) & $i(all_4_154) & $i(all_4_159)) | % 23.80/4.09 | | ( ~ (all_4_134 = all_4_135) & op(all_4_159, e2) = all_4_135 & % 23.80/4.09 | | op(e0, all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & op(e1, % 23.80/4.09 | | e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) & $i(all_4_155) % 23.80/4.09 | | & $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) & op(all_4_159, % 23.80/4.09 | | e1) = all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, e1) = % 23.80/4.09 | | all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) & % 23.80/4.09 | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 = % 23.80/4.09 | | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0, all_4_156) % 23.80/4.09 | | = all_4_138 & op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 & % 23.80/4.09 | | $i(all_4_138) & $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | % 23.80/4.09 | | ( ~ (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 & % 23.80/4.09 | | op(e0, all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0, % 23.80/4.09 | | e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) & $i(all_4_157) % 23.80/4.09 | | & $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & op(all_4_163, % 23.80/4.09 | | e2) = all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) = % 23.80/4.09 | | all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) & % 23.80/4.09 | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) | ( ~ (all_4_144 = % 23.80/4.09 | | all_4_145) & op(all_4_163, e1) = all_4_145 & op(e0, all_4_159) % 23.80/4.09 | | = all_4_144 & op(e0, e0) = all_4_163 & op(e0, e1) = all_4_159 & % 23.80/4.09 | | $i(all_4_144) & $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | % 23.80/4.09 | | ( ~ (all_4_146 = all_4_147) & op(all_4_163, e0) = all_4_147 & % 23.80/4.09 | | op(e0, all_4_163) = all_4_146 & op(e0, e0) = all_4_163 & % 23.80/4.09 | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~ (all_4_148 = % 23.80/4.09 | | e3) & ~ (all_4_148 = e2) & ~ (all_4_148 = e0) & ~ (all_4_148 % 23.80/4.09 | | = e1) & op(e3, e2) = all_4_148 & $i(all_4_148)) | ( ~ % 23.80/4.09 | | (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ (all_4_149 = e0) & ~ % 23.80/4.09 | | (all_4_149 = e1) & op(e3, e1) = all_4_149 & $i(all_4_149)) | ( ~ % 23.80/4.09 | | (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~ % 23.80/4.09 | | (all_4_150 = e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) | ( ~ % 23.80/4.09 | | (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 = e0) & ~ % 23.80/4.09 | | (all_4_151 = e1) & op(e2, e3) = all_4_151 & $i(all_4_151)) | ( ~ % 23.80/4.09 | | (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152 = e0) & ~ % 23.80/4.09 | | (all_4_152 = e1) & op(e2, e1) = all_4_152 & $i(all_4_152)) | ( ~ % 23.80/4.09 | | (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 = e0) & ~ % 23.80/4.09 | | (all_4_153 = e1) & op(e2, e0) = all_4_153 & $i(all_4_153)) | ( ~ % 23.80/4.09 | | (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ (all_4_154 = e0) & ~ % 23.80/4.09 | | (all_4_154 = e1) & op(e1, e3) = all_4_154 & $i(all_4_154)) | ( ~ % 23.80/4.09 | | (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ % 23.80/4.09 | | (all_4_155 = e1) & op(e1, e2) = all_4_155 & $i(all_4_155)) | ( ~ % 23.80/4.09 | | (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 = e0) & ~ % 23.80/4.09 | | (all_4_156 = e1) & op(e1, e0) = all_4_156 & $i(all_4_156)) | ( ~ % 23.80/4.09 | | (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ (all_4_157 = e0) & ~ % 23.80/4.09 | | (all_4_157 = e1) & op(e0, e3) = all_4_157 & $i(all_4_157)) | ( ~ % 23.80/4.09 | | (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ % 23.80/4.09 | | (all_4_158 = e1) & op(e0, e2) = all_4_158 & $i(all_4_158)) | ( ~ % 23.80/4.09 | | (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ (all_4_159 = e0) & ~ % 23.80/4.09 | | (all_4_159 = e1) & op(e0, e1) = all_4_159 & $i(all_4_159)) | ( ~ % 23.80/4.09 | | (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) & ~ % 23.80/4.09 | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ % 23.80/4.09 | | (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161 = e0) & ~ % 23.80/4.09 | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ % 23.80/4.09 | | (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ (all_4_162 = e0) & ~ % 23.80/4.09 | | (all_4_162 = e1) & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 23.80/4.09 | | (all_4_163 = e3) & ~ (all_4_163 = e2) & ~ (all_4_163 = e0) & ~ % 23.80/4.09 | | (all_4_163 = e1) & op(e0, e0) = all_4_163 & $i(all_4_163)) | ( ~ % 23.80/4.09 | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | % 23.80/4.09 | | ((( ~ (all_4_160 = e3) & op(e3, e3) = all_4_160 & $i(all_4_160)) | % 23.80/4.09 | | ( ~ (all_4_161 = e3) & op(e2, e2) = all_4_161 & $i(all_4_161)) % 23.80/4.09 | | | ( ~ (all_4_162 = e3) & op(e1, e1) = all_4_162 & % 23.80/4.09 | | $i(all_4_162)) | ( ~ (all_4_163 = e3) & op(e0, e0) = % 23.80/4.09 | | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e2) & op(e3, % 23.80/4.09 | | e3) = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e2) & % 23.80/4.09 | | op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = % 23.80/4.09 | | e2) & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 23.80/4.09 | | (all_4_163 = e2) & op(e0, e0) = all_4_163 & $i(all_4_163))) & % 23.80/4.09 | | (( ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & $i(all_4_160)) | % 23.80/4.09 | | ( ~ (all_4_161 = e0) & op(e2, e2) = all_4_161 & $i(all_4_161)) % 23.80/4.09 | | | ( ~ (all_4_162 = e0) & op(e1, e1) = all_4_162 & % 23.80/4.09 | | $i(all_4_162)) | ( ~ (all_4_163 = e0) & op(e0, e0) = % 23.80/4.09 | | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e1) & op(e3, % 23.80/4.09 | | e3) = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e1) & % 23.80/4.09 | | op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = % 23.80/4.09 | | e1) & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 23.80/4.09 | | (all_4_163 = e1) & op(e0, e0) = all_4_163 & $i(all_4_163)))) % 23.80/4.09 | | % 23.80/4.09 | | BETA: splitting (622) gives: % 23.80/4.09 | | % 23.80/4.09 | | Case 1: % 23.80/4.09 | | | % 23.80/4.10 | | | (623) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & op(e2, % 23.80/4.10 | | | all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & op(e0, e0) = % 23.80/4.10 | | | all_4_163 & $i(all_4_82) & $i(all_4_83) & $i(all_4_153) & % 23.80/4.10 | | | $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) % 23.80/4.10 | | | = all_4_85 & op(e3, e3) = all_4_160 & op(e1, all_4_160) = % 23.80/4.10 | | | all_4_84 & op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) % 23.80/4.10 | | | & $i(all_4_154) & $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & % 23.80/4.10 | | | op(all_4_154, e2) = all_4_87 & op(e3, e2) = all_4_148 & op(e1, % 23.80/4.10 | | | all_4_148) = all_4_86 & op(e1, e3) = all_4_154 & $i(all_4_86) % 23.80/4.10 | | | & $i(all_4_87) & $i(all_4_148) & $i(all_4_154)) | ( ~ (all_4_88 % 23.80/4.10 | | | = all_4_89) & op(all_4_154, e1) = all_4_89 & op(e3, e1) = % 23.80/4.10 | | | all_4_149 & op(e1, all_4_149) = all_4_88 & op(e1, e3) = % 23.80/4.10 | | | all_4_154 & $i(all_4_88) & $i(all_4_89) & $i(all_4_149) & % 23.80/4.10 | | | $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) % 23.80/4.10 | | | = all_4_91 & op(e3, e0) = all_4_150 & op(e1, all_4_150) = % 23.80/4.10 | | | all_4_90 & op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) % 23.80/4.10 | | | & $i(all_4_150) & $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & % 23.80/4.10 | | | op(all_4_155, e3) = all_4_93 & op(e2, e3) = all_4_151 & op(e1, % 23.80/4.10 | | | all_4_151) = all_4_92 & op(e1, e2) = all_4_155 & $i(all_4_92) % 23.80/4.10 | | | & $i(all_4_93) & $i(all_4_151) & $i(all_4_155)) | ( ~ (all_4_94 % 23.80/4.10 | | | = all_4_95) & op(all_4_155, e2) = all_4_95 & op(e2, e2) = % 23.80/4.10 | | | all_4_161 & op(e1, all_4_161) = all_4_94 & op(e1, e2) = % 23.80/4.10 | | | all_4_155 & $i(all_4_94) & $i(all_4_95) & $i(all_4_155) & % 23.80/4.10 | | | $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) % 23.80/4.10 | | | = all_4_97 & op(e2, e1) = all_4_152 & op(e1, all_4_152) = % 23.80/4.10 | | | all_4_96 & op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) % 23.80/4.10 | | | & $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & % 23.80/4.10 | | | op(all_4_155, e0) = all_4_99 & op(e2, e0) = all_4_153 & op(e1, % 23.80/4.10 | | | all_4_153) = all_4_98 & op(e1, e2) = all_4_155 & $i(all_4_98) % 23.80/4.10 | | | & $i(all_4_99) & $i(all_4_153) & $i(all_4_155)) | ( ~ % 23.80/4.10 | | | (all_4_100 = all_4_101) & op(all_4_162, e3) = all_4_101 & % 23.80/4.10 | | | op(e1, all_4_154) = all_4_100 & op(e1, e3) = all_4_154 & op(e1, % 23.80/4.10 | | | e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) & % 23.80/4.10 | | | $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) & % 23.80/4.10 | | | op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) = all_4_102 & % 23.80/4.10 | | | op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) % 23.80/4.10 | | | & $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | ( ~ % 23.80/4.10 | | | (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 & % 23.80/4.10 | | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 & % 23.80/4.10 | | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) | ( ~ (all_4_106 % 23.80/4.10 | | | = all_4_107) & op(all_4_162, e0) = all_4_107 & op(e1, % 23.80/4.10 | | | all_4_156) = all_4_106 & op(e1, e0) = all_4_156 & op(e1, e1) % 23.80/4.10 | | | = all_4_162 & $i(all_4_106) & $i(all_4_107) & $i(all_4_156) & % 23.80/4.10 | | | $i(all_4_162)) | ( ~ (all_4_108 = all_4_109) & op(all_4_156, % 23.80/4.10 | | | e3) = all_4_109 & op(e0, e3) = all_4_157 & op(e1, all_4_157) % 23.80/4.10 | | | = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) & % 23.80/4.10 | | | $i(all_4_109) & $i(all_4_156) & $i(all_4_157)) | ( ~ (all_4_110 % 23.80/4.10 | | | = all_4_111) & op(all_4_156, e2) = all_4_111 & op(e0, e2) = % 23.80/4.10 | | | all_4_158 & op(e1, all_4_158) = all_4_110 & op(e1, e0) = % 23.80/4.10 | | | all_4_156 & $i(all_4_110) & $i(all_4_111) & $i(all_4_156) & % 23.80/4.10 | | | $i(all_4_158)) | ( ~ (all_4_112 = all_4_113) & op(all_4_156, % 23.80/4.10 | | | e1) = all_4_113 & op(e0, e1) = all_4_159 & op(e1, all_4_159) % 23.80/4.10 | | | = all_4_112 & op(e1, e0) = all_4_156 & $i(all_4_112) & % 23.80/4.10 | | | $i(all_4_113) & $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_114 % 23.80/4.10 | | | = all_4_115) & op(all_4_156, e0) = all_4_115 & op(e0, e0) = % 23.80/4.10 | | | all_4_163 & op(e1, all_4_163) = all_4_114 & op(e1, e0) = % 23.80/4.10 | | | all_4_156 & $i(all_4_114) & $i(all_4_115) & $i(all_4_156) & % 23.80/4.10 | | | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & op(all_4_157, % 23.80/4.10 | | | e3) = all_4_117 & op(e3, e3) = all_4_160 & op(e0, all_4_160) % 23.80/4.10 | | | = all_4_116 & op(e0, e3) = all_4_157 & $i(all_4_116) & % 23.80/4.10 | | | $i(all_4_117) & $i(all_4_157) & $i(all_4_160)) | ( ~ (all_4_118 % 23.80/4.10 | | | = all_4_119) & op(all_4_157, e2) = all_4_119 & op(e3, e2) = % 23.80/4.10 | | | all_4_148 & op(e0, all_4_148) = all_4_118 & op(e0, e3) = % 23.80/4.10 | | | all_4_157 & $i(all_4_118) & $i(all_4_119) & $i(all_4_148) & % 23.80/4.10 | | | $i(all_4_157)) | ( ~ (all_4_120 = all_4_121) & op(all_4_157, % 23.80/4.10 | | | e1) = all_4_121 & op(e3, e1) = all_4_149 & op(e0, all_4_149) % 23.80/4.10 | | | = all_4_120 & op(e0, e3) = all_4_157 & $i(all_4_120) & % 23.80/4.10 | | | $i(all_4_121) & $i(all_4_149) & $i(all_4_157)) | ( ~ (all_4_122 % 23.80/4.10 | | | = all_4_123) & op(all_4_157, e0) = all_4_123 & op(e3, e0) = % 23.80/4.10 | | | all_4_150 & op(e0, all_4_150) = all_4_122 & op(e0, e3) = % 23.80/4.10 | | | all_4_157 & $i(all_4_122) & $i(all_4_123) & $i(all_4_150) & % 23.80/4.10 | | | $i(all_4_157)) | ( ~ (all_4_124 = all_4_125) & op(all_4_158, % 23.80/4.10 | | | e3) = all_4_125 & op(e2, e3) = all_4_151 & op(e0, all_4_151) % 23.80/4.10 | | | = all_4_124 & op(e0, e2) = all_4_158 & $i(all_4_124) & % 23.80/4.10 | | | $i(all_4_125) & $i(all_4_151) & $i(all_4_158)) | ( ~ (all_4_126 % 23.80/4.10 | | | = all_4_127) & op(all_4_158, e2) = all_4_127 & op(e2, e2) = % 23.80/4.10 | | | all_4_161 & op(e0, all_4_161) = all_4_126 & op(e0, e2) = % 23.80/4.10 | | | all_4_158 & $i(all_4_126) & $i(all_4_127) & $i(all_4_158) & % 23.80/4.10 | | | $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) & op(all_4_158, % 23.80/4.10 | | | e1) = all_4_129 & op(e2, e1) = all_4_152 & op(e0, all_4_152) % 23.80/4.10 | | | = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) & % 23.80/4.10 | | | $i(all_4_129) & $i(all_4_152) & $i(all_4_158)) | ( ~ (all_4_130 % 23.80/4.10 | | | = all_4_131) & op(all_4_158, e0) = all_4_131 & op(e2, e0) = % 23.80/4.10 | | | all_4_153 & op(e0, all_4_153) = all_4_130 & op(e0, e2) = % 23.80/4.10 | | | all_4_158 & $i(all_4_130) & $i(all_4_131) & $i(all_4_153) & % 23.80/4.10 | | | $i(all_4_158)) % 23.80/4.10 | | | % 23.80/4.10 | | | BETA: splitting (623) gives: % 23.80/4.10 | | | % 23.80/4.10 | | | Case 1: % 23.80/4.10 | | | | % 23.80/4.10 | | | | (624) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & % 23.80/4.10 | | | | op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & % 23.80/4.10 | | | | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & % 23.80/4.10 | | | | $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) & % 23.80/4.10 | | | | op(all_4_154, e3) = all_4_85 & op(e3, e3) = all_4_160 & % 23.80/4.10 | | | | op(e1, all_4_160) = all_4_84 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | $i(all_4_84) & $i(all_4_85) & $i(all_4_154) & $i(all_4_160)) % 23.80/4.10 | | | | | ( ~ (all_4_86 = all_4_87) & op(all_4_154, e2) = all_4_87 & % 23.80/4.10 | | | | op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 & % 23.80/4.10 | | | | op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) & % 23.80/4.10 | | | | $i(all_4_148) & $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) & % 23.80/4.10 | | | | op(all_4_154, e1) = all_4_89 & op(e3, e1) = all_4_149 & % 23.80/4.10 | | | | op(e1, all_4_149) = all_4_88 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | $i(all_4_88) & $i(all_4_89) & $i(all_4_149) & $i(all_4_154)) % 23.80/4.10 | | | | | ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = all_4_91 & % 23.80/4.10 | | | | op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90 & % 23.80/4.10 | | | | op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) & % 23.80/4.10 | | | | $i(all_4_150) & $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & % 23.80/4.10 | | | | op(all_4_155, e3) = all_4_93 & op(e2, e3) = all_4_151 & % 23.80/4.10 | | | | op(e1, all_4_151) = all_4_92 & op(e1, e2) = all_4_155 & % 23.80/4.10 | | | | $i(all_4_92) & $i(all_4_93) & $i(all_4_151) & $i(all_4_155)) % 23.80/4.10 | | | | | ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95 & % 23.80/4.10 | | | | op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 & % 23.80/4.10 | | | | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & % 23.80/4.10 | | | | $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) & % 23.80/4.10 | | | | op(all_4_155, e1) = all_4_97 & op(e2, e1) = all_4_152 & % 23.80/4.10 | | | | op(e1, all_4_152) = all_4_96 & op(e1, e2) = all_4_155 & % 23.80/4.10 | | | | $i(all_4_96) & $i(all_4_97) & $i(all_4_152) & $i(all_4_155)) % 23.80/4.10 | | | | | ( ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = all_4_99 & % 23.80/4.10 | | | | op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 & % 23.80/4.10 | | | | op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) & % 23.80/4.10 | | | | $i(all_4_153) & $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) % 23.80/4.10 | | | | & op(all_4_162, e3) = all_4_101 & op(e1, all_4_154) = % 23.80/4.10 | | | | all_4_100 & op(e1, e3) = all_4_154 & op(e1, e1) = all_4_162 & % 23.80/4.10 | | | | $i(all_4_100) & $i(all_4_101) & $i(all_4_154) & % 23.80/4.10 | | | | $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) & op(all_4_162, % 23.80/4.10 | | | | e2) = all_4_103 & op(e1, all_4_155) = all_4_102 & op(e1, % 23.80/4.10 | | | | e2) = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) & % 23.80/4.10 | | | | $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | ( ~ % 23.80/4.10 | | | | (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 & % 23.80/4.10 | | | | op(e1, all_4_162) = all_4_104 & op(e1, e1) = all_4_162 & % 23.80/4.10 | | | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) % 23.80/4.10 | | | | % 23.80/4.10 | | | | BETA: splitting (624) gives: % 23.80/4.10 | | | | % 23.80/4.10 | | | | Case 1: % 23.80/4.10 | | | | | % 23.80/4.10 | | | | | (625) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & % 23.80/4.10 | | | | | op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & % 23.80/4.10 | | | | | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & % 23.80/4.10 | | | | | $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 = all_4_85) % 23.80/4.10 | | | | | & op(all_4_154, e3) = all_4_85 & op(e3, e3) = all_4_160 & % 23.80/4.10 | | | | | op(e1, all_4_160) = all_4_84 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | | $i(all_4_84) & $i(all_4_85) & $i(all_4_154) & % 23.80/4.10 | | | | | $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & op(all_4_154, % 23.80/4.10 | | | | | e2) = all_4_87 & op(e3, e2) = all_4_148 & op(e1, % 23.80/4.10 | | | | | all_4_148) = all_4_86 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | | $i(all_4_86) & $i(all_4_87) & $i(all_4_148) & % 23.80/4.10 | | | | | $i(all_4_154)) | ( ~ (all_4_88 = all_4_89) & op(all_4_154, % 23.80/4.10 | | | | | e1) = all_4_89 & op(e3, e1) = all_4_149 & op(e1, % 23.80/4.10 | | | | | all_4_149) = all_4_88 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | | $i(all_4_88) & $i(all_4_89) & $i(all_4_149) & % 23.80/4.10 | | | | | $i(all_4_154)) | ( ~ (all_4_90 = all_4_91) & op(all_4_154, % 23.80/4.10 | | | | | e0) = all_4_91 & op(e3, e0) = all_4_150 & op(e1, % 23.80/4.10 | | | | | all_4_150) = all_4_90 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | | $i(all_4_90) & $i(all_4_91) & $i(all_4_150) & % 23.80/4.10 | | | | | $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & op(all_4_155, % 23.80/4.10 | | | | | e3) = all_4_93 & op(e2, e3) = all_4_151 & op(e1, % 23.80/4.10 | | | | | all_4_151) = all_4_92 & op(e1, e2) = all_4_155 & % 23.80/4.10 | | | | | $i(all_4_92) & $i(all_4_93) & $i(all_4_151) & % 23.80/4.10 | | | | | $i(all_4_155)) % 23.80/4.10 | | | | | % 23.80/4.10 | | | | | BETA: splitting (625) gives: % 23.80/4.10 | | | | | % 23.80/4.10 | | | | | Case 1: % 23.80/4.10 | | | | | | % 23.80/4.10 | | | | | | (626) ( ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & % 23.80/4.10 | | | | | | op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & % 23.80/4.10 | | | | | | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & % 23.80/4.10 | | | | | | $i(all_4_153) & $i(all_4_163)) | ( ~ (all_4_84 = % 23.80/4.10 | | | | | | all_4_85) & op(all_4_154, e3) = all_4_85 & op(e3, e3) = % 23.80/4.10 | | | | | | all_4_160 & op(e1, all_4_160) = all_4_84 & op(e1, e3) = % 23.80/4.10 | | | | | | all_4_154 & $i(all_4_84) & $i(all_4_85) & $i(all_4_154) & % 23.80/4.10 | | | | | | $i(all_4_160)) | ( ~ (all_4_86 = all_4_87) & % 23.80/4.10 | | | | | | op(all_4_154, e2) = all_4_87 & op(e3, e2) = all_4_148 & % 23.80/4.10 | | | | | | op(e1, all_4_148) = all_4_86 & op(e1, e3) = all_4_154 & % 23.80/4.10 | | | | | | $i(all_4_86) & $i(all_4_87) & $i(all_4_148) & % 23.80/4.10 | | | | | | $i(all_4_154)) % 23.80/4.10 | | | | | | % 23.80/4.10 | | | | | | BETA: splitting (626) gives: % 23.80/4.10 | | | | | | % 23.80/4.10 | | | | | | Case 1: % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | (627) ~ (all_4_82 = all_4_83) & op(all_4_153, e0) = all_4_83 & % 23.80/4.10 | | | | | | | op(e2, all_4_163) = all_4_82 & op(e2, e0) = all_4_153 & % 23.80/4.10 | | | | | | | op(e0, e0) = all_4_163 & $i(all_4_82) & $i(all_4_83) & % 23.80/4.10 | | | | | | | $i(all_4_153) & $i(all_4_163) % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | ALPHA: (627) implies: % 23.80/4.10 | | | | | | | (628) ~ (all_4_82 = all_4_83) % 23.80/4.10 | | | | | | | (629) op(e0, e0) = all_4_163 % 23.80/4.10 | | | | | | | (630) op(e2, e0) = all_4_153 % 23.80/4.10 | | | | | | | (631) op(e2, all_4_163) = all_4_82 % 23.80/4.10 | | | | | | | (632) op(all_4_153, e0) = all_4_83 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 23.80/4.10 | | | | | | | simplifying with (6), (629) gives: % 23.80/4.10 | | | | | | | (633) all_4_163 = e0 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.10 | | | | | | | simplifying with (10), (630) gives: % 23.80/4.10 | | | | | | | (634) all_4_153 = e2 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | REDUCE: (632), (634) imply: % 23.80/4.10 | | | | | | | (635) op(e2, e0) = all_4_83 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | REDUCE: (631), (633) imply: % 23.80/4.10 | | | | | | | (636) op(e2, e0) = all_4_82 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_82, e0, e2, % 23.80/4.10 | | | | | | | simplifying with (10), (636) gives: % 23.80/4.10 | | | | | | | (637) all_4_82 = e2 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | GROUND_INST: instantiating (24) with all_4_83, all_4_82, e0, e2, % 23.80/4.10 | | | | | | | simplifying with (635), (636) gives: % 23.80/4.10 | | | | | | | (638) all_4_82 = all_4_83 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | COMBINE_EQS: (637), (638) imply: % 23.80/4.10 | | | | | | | (639) all_4_83 = e2 % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | REDUCE: (628), (637), (639) imply: % 23.80/4.10 | | | | | | | (640) $false % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | CLOSE: (640) is inconsistent. % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | Case 2: % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | (641) ( ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = all_4_85 % 23.80/4.10 | | | | | | | & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 % 23.80/4.10 | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) % 23.80/4.10 | | | | | | | & $i(all_4_154) & $i(all_4_160)) | ( ~ (all_4_86 = % 23.80/4.10 | | | | | | | all_4_87) & op(all_4_154, e2) = all_4_87 & op(e3, e2) % 23.80/4.10 | | | | | | | = all_4_148 & op(e1, all_4_148) = all_4_86 & op(e1, e3) % 23.80/4.10 | | | | | | | = all_4_154 & $i(all_4_86) & $i(all_4_87) & % 23.80/4.10 | | | | | | | $i(all_4_148) & $i(all_4_154)) % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | BETA: splitting (641) gives: % 23.80/4.10 | | | | | | | % 23.80/4.10 | | | | | | | Case 1: % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | (642) ~ (all_4_84 = all_4_85) & op(all_4_154, e3) = all_4_85 % 23.80/4.10 | | | | | | | | & op(e3, e3) = all_4_160 & op(e1, all_4_160) = all_4_84 % 23.80/4.10 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_84) & $i(all_4_85) % 23.80/4.10 | | | | | | | | & $i(all_4_154) & $i(all_4_160) % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | ALPHA: (642) implies: % 23.80/4.10 | | | | | | | | (643) ~ (all_4_84 = all_4_85) % 23.80/4.10 | | | | | | | | (644) op(e1, e3) = all_4_154 % 23.80/4.10 | | | | | | | | (645) op(e1, all_4_160) = all_4_84 % 23.80/4.10 | | | | | | | | (646) op(e3, e3) = all_4_160 % 23.80/4.10 | | | | | | | | (647) op(all_4_154, e3) = all_4_85 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.10 | | | | | | | | simplifying with (4), (644) gives: % 23.80/4.10 | | | | | | | | (648) all_4_154 = e2 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.80/4.10 | | | | | | | | simplifying with (16), (646) gives: % 23.80/4.10 | | | | | | | | (649) all_4_160 = e0 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | REDUCE: (647), (648) imply: % 23.80/4.10 | | | | | | | | (650) op(e2, e3) = all_4_85 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | REDUCE: (645), (649) imply: % 23.80/4.10 | | | | | | | | (651) op(e1, e0) = all_4_84 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_84, e0, e1, % 23.80/4.10 | | | | | | | | simplifying with (2), (651) gives: % 23.80/4.10 | | | | | | | | (652) all_4_84 = e1 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_85, e3, e2, % 23.80/4.10 | | | | | | | | simplifying with (12), (650) gives: % 23.80/4.10 | | | | | | | | (653) all_4_85 = e1 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | REDUCE: (643), (652), (653) imply: % 23.80/4.10 | | | | | | | | (654) $false % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | CLOSE: (654) is inconsistent. % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | Case 2: % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | (655) ~ (all_4_86 = all_4_87) & op(all_4_154, e2) = all_4_87 % 23.80/4.10 | | | | | | | | & op(e3, e2) = all_4_148 & op(e1, all_4_148) = all_4_86 % 23.80/4.10 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_86) & $i(all_4_87) % 23.80/4.10 | | | | | | | | & $i(all_4_148) & $i(all_4_154) % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | ALPHA: (655) implies: % 23.80/4.10 | | | | | | | | (656) ~ (all_4_86 = all_4_87) % 23.80/4.10 | | | | | | | | (657) op(e1, e3) = all_4_154 % 23.80/4.10 | | | | | | | | (658) op(e1, all_4_148) = all_4_86 % 23.80/4.10 | | | | | | | | (659) op(e3, e2) = all_4_148 % 23.80/4.10 | | | | | | | | (660) op(all_4_154, e2) = all_4_87 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.10 | | | | | | | | simplifying with (4), (657) gives: % 23.80/4.10 | | | | | | | | (661) all_4_154 = e2 % 23.80/4.10 | | | | | | | | % 23.80/4.10 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.80/4.10 | | | | | | | | simplifying with (15), (659) gives: % 23.80/4.10 | | | | | | | | (662) all_4_148 = e1 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (660), (661) imply: % 23.80/4.11 | | | | | | | | (663) op(e2, e2) = all_4_87 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (658), (662) imply: % 23.80/4.11 | | | | | | | | (664) op(e1, e1) = all_4_86 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_86, e1, e1, % 23.80/4.11 | | | | | | | | simplifying with (1), (664) gives: % 23.80/4.11 | | | | | | | | (665) all_4_86 = e0 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_87, e2, e2, % 23.80/4.11 | | | | | | | | simplifying with (11), (663) gives: % 23.80/4.11 | | | | | | | | (666) all_4_87 = e0 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (656), (665), (666) imply: % 23.80/4.11 | | | | | | | | (667) $false % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | CLOSE: (667) is inconsistent. % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | End of split % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | End of split % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | Case 2: % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | (668) ( ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89 & % 23.80/4.11 | | | | | | op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88 & % 23.80/4.11 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89) & % 23.80/4.11 | | | | | | $i(all_4_149) & $i(all_4_154)) | ( ~ (all_4_90 = % 23.80/4.11 | | | | | | all_4_91) & op(all_4_154, e0) = all_4_91 & op(e3, e0) = % 23.80/4.11 | | | | | | all_4_150 & op(e1, all_4_150) = all_4_90 & op(e1, e3) = % 23.80/4.11 | | | | | | all_4_154 & $i(all_4_90) & $i(all_4_91) & $i(all_4_150) & % 23.80/4.11 | | | | | | $i(all_4_154)) | ( ~ (all_4_92 = all_4_93) & % 23.80/4.11 | | | | | | op(all_4_155, e3) = all_4_93 & op(e2, e3) = all_4_151 & % 23.80/4.11 | | | | | | op(e1, all_4_151) = all_4_92 & op(e1, e2) = all_4_155 & % 23.80/4.11 | | | | | | $i(all_4_92) & $i(all_4_93) & $i(all_4_151) & % 23.80/4.11 | | | | | | $i(all_4_155)) % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | BETA: splitting (668) gives: % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | Case 1: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | (669) ~ (all_4_88 = all_4_89) & op(all_4_154, e1) = all_4_89 & % 23.80/4.11 | | | | | | | op(e3, e1) = all_4_149 & op(e1, all_4_149) = all_4_88 & % 23.80/4.11 | | | | | | | op(e1, e3) = all_4_154 & $i(all_4_88) & $i(all_4_89) & % 23.80/4.11 | | | | | | | $i(all_4_149) & $i(all_4_154) % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | ALPHA: (669) implies: % 23.80/4.11 | | | | | | | (670) ~ (all_4_88 = all_4_89) % 23.80/4.11 | | | | | | | (671) op(e1, e3) = all_4_154 % 23.80/4.11 | | | | | | | (672) op(e1, all_4_149) = all_4_88 % 23.80/4.11 | | | | | | | (673) op(e3, e1) = all_4_149 % 23.80/4.11 | | | | | | | (674) op(all_4_154, e1) = all_4_89 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.11 | | | | | | | simplifying with (4), (671) gives: % 23.80/4.11 | | | | | | | (675) all_4_154 = e2 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.80/4.11 | | | | | | | simplifying with (13), (673) gives: % 23.80/4.11 | | | | | | | (676) all_4_149 = e2 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (674), (675) imply: % 23.80/4.11 | | | | | | | (677) op(e2, e1) = all_4_89 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (672), (676) imply: % 23.80/4.11 | | | | | | | (678) op(e1, e2) = all_4_88 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_88, e2, e1, % 23.80/4.11 | | | | | | | simplifying with (3), (678) gives: % 23.80/4.11 | | | | | | | (679) all_4_88 = e3 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_89, e1, e2, % 23.80/4.11 | | | | | | | simplifying with (9), (677) gives: % 23.80/4.11 | | | | | | | (680) all_4_89 = e3 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (670), (679), (680) imply: % 23.80/4.11 | | | | | | | (681) $false % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | CLOSE: (681) is inconsistent. % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | Case 2: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | (682) ( ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = all_4_91 % 23.80/4.11 | | | | | | | & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90 % 23.80/4.11 | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) % 23.80/4.11 | | | | | | | & $i(all_4_150) & $i(all_4_154)) | ( ~ (all_4_92 = % 23.80/4.11 | | | | | | | all_4_93) & op(all_4_155, e3) = all_4_93 & op(e2, e3) % 23.80/4.11 | | | | | | | = all_4_151 & op(e1, all_4_151) = all_4_92 & op(e1, e2) % 23.80/4.11 | | | | | | | = all_4_155 & $i(all_4_92) & $i(all_4_93) & % 23.80/4.11 | | | | | | | $i(all_4_151) & $i(all_4_155)) % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | BETA: splitting (682) gives: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | Case 1: % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | (683) ~ (all_4_90 = all_4_91) & op(all_4_154, e0) = all_4_91 % 23.80/4.11 | | | | | | | | & op(e3, e0) = all_4_150 & op(e1, all_4_150) = all_4_90 % 23.80/4.11 | | | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_90) & $i(all_4_91) % 23.80/4.11 | | | | | | | | & $i(all_4_150) & $i(all_4_154) % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | ALPHA: (683) implies: % 23.80/4.11 | | | | | | | | (684) ~ (all_4_90 = all_4_91) % 23.80/4.11 | | | | | | | | (685) op(e1, e3) = all_4_154 % 23.80/4.11 | | | | | | | | (686) op(e1, all_4_150) = all_4_90 % 23.80/4.11 | | | | | | | | (687) op(e3, e0) = all_4_150 % 23.80/4.11 | | | | | | | | (688) op(all_4_154, e0) = all_4_91 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.11 | | | | | | | | simplifying with (4), (685) gives: % 23.80/4.11 | | | | | | | | (689) all_4_154 = e2 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.80/4.11 | | | | | | | | simplifying with (14), (687) gives: % 23.80/4.11 | | | | | | | | (690) all_4_150 = e3 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (688), (689) imply: % 23.80/4.11 | | | | | | | | (691) op(e2, e0) = all_4_91 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (686), (690) imply: % 23.80/4.11 | | | | | | | | (692) op(e1, e3) = all_4_90 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_90, e3, e1, % 23.80/4.11 | | | | | | | | simplifying with (4), (692) gives: % 23.80/4.11 | | | | | | | | (693) all_4_90 = e2 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_91, e0, e2, % 23.80/4.11 | | | | | | | | simplifying with (10), (691) gives: % 23.80/4.11 | | | | | | | | (694) all_4_91 = e2 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (684), (693), (694) imply: % 23.80/4.11 | | | | | | | | (695) $false % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | CLOSE: (695) is inconsistent. % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | Case 2: % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | (696) ~ (all_4_92 = all_4_93) & op(all_4_155, e3) = all_4_93 % 23.80/4.11 | | | | | | | | & op(e2, e3) = all_4_151 & op(e1, all_4_151) = all_4_92 % 23.80/4.11 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_92) & $i(all_4_93) % 23.80/4.11 | | | | | | | | & $i(all_4_151) & $i(all_4_155) % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | ALPHA: (696) implies: % 23.80/4.11 | | | | | | | | (697) ~ (all_4_92 = all_4_93) % 23.80/4.11 | | | | | | | | (698) op(e1, e2) = all_4_155 % 23.80/4.11 | | | | | | | | (699) op(e1, all_4_151) = all_4_92 % 23.80/4.11 | | | | | | | | (700) op(e2, e3) = all_4_151 % 23.80/4.11 | | | | | | | | (701) op(all_4_155, e3) = all_4_93 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.11 | | | | | | | | simplifying with (3), (698) gives: % 23.80/4.11 | | | | | | | | (702) all_4_155 = e3 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 23.80/4.11 | | | | | | | | simplifying with (12), (700) gives: % 23.80/4.11 | | | | | | | | (703) all_4_151 = e1 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (701), (702) imply: % 23.80/4.11 | | | | | | | | (704) op(e3, e3) = all_4_93 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (699), (703) imply: % 23.80/4.11 | | | | | | | | (705) op(e1, e1) = all_4_92 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_92, e1, e1, % 23.80/4.11 | | | | | | | | simplifying with (1), (705) gives: % 23.80/4.11 | | | | | | | | (706) all_4_92 = e0 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_93, e3, e3, % 23.80/4.11 | | | | | | | | simplifying with (16), (704) gives: % 23.80/4.11 | | | | | | | | (707) all_4_93 = e0 % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | REDUCE: (697), (706), (707) imply: % 23.80/4.11 | | | | | | | | (708) $false % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | CLOSE: (708) is inconsistent. % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | End of split % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | End of split % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | End of split % 23.80/4.11 | | | | | % 23.80/4.11 | | | | Case 2: % 23.80/4.11 | | | | | % 23.80/4.11 | | | | | (709) ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95 & % 23.80/4.11 | | | | | op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 & % 23.80/4.11 | | | | | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & % 23.80/4.11 | | | | | $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96 = all_4_97) % 23.80/4.11 | | | | | & op(all_4_155, e1) = all_4_97 & op(e2, e1) = all_4_152 & % 23.80/4.11 | | | | | op(e1, all_4_152) = all_4_96 & op(e1, e2) = all_4_155 & % 23.80/4.11 | | | | | $i(all_4_96) & $i(all_4_97) & $i(all_4_152) & % 23.80/4.11 | | | | | $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & op(all_4_155, % 23.80/4.11 | | | | | e0) = all_4_99 & op(e2, e0) = all_4_153 & op(e1, % 23.80/4.11 | | | | | all_4_153) = all_4_98 & op(e1, e2) = all_4_155 & % 23.80/4.11 | | | | | $i(all_4_98) & $i(all_4_99) & $i(all_4_153) & % 23.80/4.11 | | | | | $i(all_4_155)) | ( ~ (all_4_100 = all_4_101) & % 23.80/4.11 | | | | | op(all_4_162, e3) = all_4_101 & op(e1, all_4_154) = % 23.80/4.11 | | | | | all_4_100 & op(e1, e3) = all_4_154 & op(e1, e1) = all_4_162 % 23.80/4.11 | | | | | & $i(all_4_100) & $i(all_4_101) & $i(all_4_154) & % 23.80/4.11 | | | | | $i(all_4_162)) | ( ~ (all_4_102 = all_4_103) & % 23.80/4.11 | | | | | op(all_4_162, e2) = all_4_103 & op(e1, all_4_155) = % 23.80/4.11 | | | | | all_4_102 & op(e1, e2) = all_4_155 & op(e1, e1) = all_4_162 % 23.80/4.11 | | | | | & $i(all_4_102) & $i(all_4_103) & $i(all_4_155) & % 23.80/4.11 | | | | | $i(all_4_162)) | ( ~ (all_4_104 = all_4_105) & % 23.80/4.11 | | | | | op(all_4_162, e1) = all_4_105 & op(e1, all_4_162) = % 23.80/4.11 | | | | | all_4_104 & op(e1, e1) = all_4_162 & $i(all_4_104) & % 23.80/4.11 | | | | | $i(all_4_105) & $i(all_4_162)) % 23.80/4.11 | | | | | % 23.80/4.11 | | | | | BETA: splitting (709) gives: % 23.80/4.11 | | | | | % 23.80/4.11 | | | | | Case 1: % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | (710) ( ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95 & % 23.80/4.11 | | | | | | op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 & % 23.80/4.11 | | | | | | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & % 23.80/4.11 | | | | | | $i(all_4_155) & $i(all_4_161)) | ( ~ (all_4_96 = % 23.80/4.11 | | | | | | all_4_97) & op(all_4_155, e1) = all_4_97 & op(e2, e1) = % 23.80/4.11 | | | | | | all_4_152 & op(e1, all_4_152) = all_4_96 & op(e1, e2) = % 23.80/4.11 | | | | | | all_4_155 & $i(all_4_96) & $i(all_4_97) & $i(all_4_152) & % 23.80/4.11 | | | | | | $i(all_4_155)) | ( ~ (all_4_98 = all_4_99) & % 23.80/4.11 | | | | | | op(all_4_155, e0) = all_4_99 & op(e2, e0) = all_4_153 & % 23.80/4.11 | | | | | | op(e1, all_4_153) = all_4_98 & op(e1, e2) = all_4_155 & % 23.80/4.11 | | | | | | $i(all_4_98) & $i(all_4_99) & $i(all_4_153) & % 23.80/4.11 | | | | | | $i(all_4_155)) % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | BETA: splitting (710) gives: % 23.80/4.11 | | | | | | % 23.80/4.11 | | | | | | Case 1: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | (711) ~ (all_4_94 = all_4_95) & op(all_4_155, e2) = all_4_95 & % 23.80/4.11 | | | | | | | op(e2, e2) = all_4_161 & op(e1, all_4_161) = all_4_94 & % 23.80/4.11 | | | | | | | op(e1, e2) = all_4_155 & $i(all_4_94) & $i(all_4_95) & % 23.80/4.11 | | | | | | | $i(all_4_155) & $i(all_4_161) % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | ALPHA: (711) implies: % 23.80/4.11 | | | | | | | (712) ~ (all_4_94 = all_4_95) % 23.80/4.11 | | | | | | | (713) op(e1, e2) = all_4_155 % 23.80/4.11 | | | | | | | (714) op(e1, all_4_161) = all_4_94 % 23.80/4.11 | | | | | | | (715) op(e2, e2) = all_4_161 % 23.80/4.11 | | | | | | | (716) op(all_4_155, e2) = all_4_95 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.11 | | | | | | | simplifying with (3), (713) gives: % 23.80/4.11 | | | | | | | (717) all_4_155 = e3 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 23.80/4.11 | | | | | | | simplifying with (11), (715) gives: % 23.80/4.11 | | | | | | | (718) all_4_161 = e0 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (716), (717) imply: % 23.80/4.11 | | | | | | | (719) op(e3, e2) = all_4_95 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (714), (718) imply: % 23.80/4.11 | | | | | | | (720) op(e1, e0) = all_4_94 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_94, e0, e1, % 23.80/4.11 | | | | | | | simplifying with (2), (720) gives: % 23.80/4.11 | | | | | | | (721) all_4_94 = e1 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_95, e2, e3, % 23.80/4.11 | | | | | | | simplifying with (15), (719) gives: % 23.80/4.11 | | | | | | | (722) all_4_95 = e1 % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | REDUCE: (712), (721), (722) imply: % 23.80/4.11 | | | | | | | (723) $false % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | CLOSE: (723) is inconsistent. % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | Case 2: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | (724) ( ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = all_4_97 % 23.80/4.11 | | | | | | | & op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96 % 23.80/4.11 | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) % 23.80/4.11 | | | | | | | & $i(all_4_152) & $i(all_4_155)) | ( ~ (all_4_98 = % 23.80/4.11 | | | | | | | all_4_99) & op(all_4_155, e0) = all_4_99 & op(e2, e0) % 23.80/4.11 | | | | | | | = all_4_153 & op(e1, all_4_153) = all_4_98 & op(e1, e2) % 23.80/4.11 | | | | | | | = all_4_155 & $i(all_4_98) & $i(all_4_99) & % 23.80/4.11 | | | | | | | $i(all_4_153) & $i(all_4_155)) % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | BETA: splitting (724) gives: % 23.80/4.11 | | | | | | | % 23.80/4.11 | | | | | | | Case 1: % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | (725) ~ (all_4_96 = all_4_97) & op(all_4_155, e1) = all_4_97 % 23.80/4.11 | | | | | | | | & op(e2, e1) = all_4_152 & op(e1, all_4_152) = all_4_96 % 23.80/4.11 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_96) & $i(all_4_97) % 23.80/4.11 | | | | | | | | & $i(all_4_152) & $i(all_4_155) % 23.80/4.11 | | | | | | | | % 23.80/4.11 | | | | | | | | ALPHA: (725) implies: % 23.80/4.12 | | | | | | | | (726) ~ (all_4_96 = all_4_97) % 23.80/4.12 | | | | | | | | (727) op(e1, e2) = all_4_155 % 23.80/4.12 | | | | | | | | (728) op(e1, all_4_152) = all_4_96 % 23.80/4.12 | | | | | | | | (729) op(e2, e1) = all_4_152 % 23.80/4.12 | | | | | | | | (730) op(all_4_155, e1) = all_4_97 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.12 | | | | | | | | simplifying with (3), (727) gives: % 23.80/4.12 | | | | | | | | (731) all_4_155 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 23.80/4.12 | | | | | | | | simplifying with (9), (729) gives: % 23.80/4.12 | | | | | | | | (732) all_4_152 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (730), (731) imply: % 23.80/4.12 | | | | | | | | (733) op(e3, e1) = all_4_97 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (728), (732) imply: % 23.80/4.12 | | | | | | | | (734) op(e1, e3) = all_4_96 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_96, e3, e1, % 23.80/4.12 | | | | | | | | simplifying with (4), (734) gives: % 23.80/4.12 | | | | | | | | (735) all_4_96 = e2 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_97, e1, e3, % 23.80/4.12 | | | | | | | | simplifying with (13), (733) gives: % 23.80/4.12 | | | | | | | | (736) all_4_97 = e2 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (726), (735), (736) imply: % 23.80/4.12 | | | | | | | | (737) $false % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | CLOSE: (737) is inconsistent. % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | Case 2: % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | (738) ~ (all_4_98 = all_4_99) & op(all_4_155, e0) = all_4_99 % 23.80/4.12 | | | | | | | | & op(e2, e0) = all_4_153 & op(e1, all_4_153) = all_4_98 % 23.80/4.12 | | | | | | | | & op(e1, e2) = all_4_155 & $i(all_4_98) & $i(all_4_99) % 23.80/4.12 | | | | | | | | & $i(all_4_153) & $i(all_4_155) % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | ALPHA: (738) implies: % 23.80/4.12 | | | | | | | | (739) ~ (all_4_98 = all_4_99) % 23.80/4.12 | | | | | | | | (740) op(e1, e2) = all_4_155 % 23.80/4.12 | | | | | | | | (741) op(e1, all_4_153) = all_4_98 % 23.80/4.12 | | | | | | | | (742) op(e2, e0) = all_4_153 % 23.80/4.12 | | | | | | | | (743) op(all_4_155, e0) = all_4_99 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.12 | | | | | | | | simplifying with (3), (740) gives: % 23.80/4.12 | | | | | | | | (744) all_4_155 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 23.80/4.12 | | | | | | | | simplifying with (10), (742) gives: % 23.80/4.12 | | | | | | | | (745) all_4_153 = e2 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (743), (744) imply: % 23.80/4.12 | | | | | | | | (746) op(e3, e0) = all_4_99 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (741), (745) imply: % 23.80/4.12 | | | | | | | | (747) op(e1, e2) = all_4_98 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_98, e2, e1, % 23.80/4.12 | | | | | | | | simplifying with (3), (747) gives: % 23.80/4.12 | | | | | | | | (748) all_4_98 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_99, e0, e3, % 23.80/4.12 | | | | | | | | simplifying with (14), (746) gives: % 23.80/4.12 | | | | | | | | (749) all_4_99 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (739), (748), (749) imply: % 23.80/4.12 | | | | | | | | (750) $false % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | CLOSE: (750) is inconsistent. % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | End of split % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | End of split % 23.80/4.12 | | | | | | % 23.80/4.12 | | | | | Case 2: % 23.80/4.12 | | | | | | % 23.80/4.12 | | | | | | (751) ( ~ (all_4_100 = all_4_101) & op(all_4_162, e3) = all_4_101 % 23.80/4.12 | | | | | | & op(e1, all_4_154) = all_4_100 & op(e1, e3) = all_4_154 % 23.80/4.12 | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_100) & $i(all_4_101) % 23.80/4.12 | | | | | | & $i(all_4_154) & $i(all_4_162)) | ( ~ (all_4_102 = % 23.80/4.12 | | | | | | all_4_103) & op(all_4_162, e2) = all_4_103 & op(e1, % 23.80/4.12 | | | | | | all_4_155) = all_4_102 & op(e1, e2) = all_4_155 & % 23.80/4.12 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_102) & $i(all_4_103) & % 23.80/4.12 | | | | | | $i(all_4_155) & $i(all_4_162)) | ( ~ (all_4_104 = % 23.80/4.12 | | | | | | all_4_105) & op(all_4_162, e1) = all_4_105 & op(e1, % 23.80/4.12 | | | | | | all_4_162) = all_4_104 & op(e1, e1) = all_4_162 & % 23.80/4.12 | | | | | | $i(all_4_104) & $i(all_4_105) & $i(all_4_162)) % 23.80/4.12 | | | | | | % 23.80/4.12 | | | | | | BETA: splitting (751) gives: % 23.80/4.12 | | | | | | % 23.80/4.12 | | | | | | Case 1: % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | (752) ~ (all_4_100 = all_4_101) & op(all_4_162, e3) = % 23.80/4.12 | | | | | | | all_4_101 & op(e1, all_4_154) = all_4_100 & op(e1, e3) = % 23.80/4.12 | | | | | | | all_4_154 & op(e1, e1) = all_4_162 & $i(all_4_100) & % 23.80/4.12 | | | | | | | $i(all_4_101) & $i(all_4_154) & $i(all_4_162) % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | ALPHA: (752) implies: % 23.80/4.12 | | | | | | | (753) ~ (all_4_100 = all_4_101) % 23.80/4.12 | | | | | | | (754) op(e1, e1) = all_4_162 % 23.80/4.12 | | | | | | | (755) op(e1, e3) = all_4_154 % 23.80/4.12 | | | | | | | (756) op(e1, all_4_154) = all_4_100 % 23.80/4.12 | | | | | | | (757) op(all_4_162, e3) = all_4_101 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.80/4.12 | | | | | | | simplifying with (1), (754) gives: % 23.80/4.12 | | | | | | | (758) all_4_162 = e0 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 23.80/4.12 | | | | | | | simplifying with (4), (755) gives: % 23.80/4.12 | | | | | | | (759) all_4_154 = e2 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | REDUCE: (757), (758) imply: % 23.80/4.12 | | | | | | | (760) op(e0, e3) = all_4_101 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | REDUCE: (756), (759) imply: % 23.80/4.12 | | | | | | | (761) op(e1, e2) = all_4_100 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_100, e2, e1, % 23.80/4.12 | | | | | | | simplifying with (3), (761) gives: % 23.80/4.12 | | | | | | | (762) all_4_100 = e3 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_101, e3, e0, % 23.80/4.12 | | | | | | | simplifying with (8), (760) gives: % 23.80/4.12 | | | | | | | (763) all_4_101 = e3 % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | REDUCE: (753), (762), (763) imply: % 23.80/4.12 | | | | | | | (764) $false % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | CLOSE: (764) is inconsistent. % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | Case 2: % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | (765) ( ~ (all_4_102 = all_4_103) & op(all_4_162, e2) = % 23.80/4.12 | | | | | | | all_4_103 & op(e1, all_4_155) = all_4_102 & op(e1, e2) % 23.80/4.12 | | | | | | | = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) & % 23.80/4.12 | | | | | | | $i(all_4_103) & $i(all_4_155) & $i(all_4_162)) | ( ~ % 23.80/4.12 | | | | | | | (all_4_104 = all_4_105) & op(all_4_162, e1) = all_4_105 % 23.80/4.12 | | | | | | | & op(e1, all_4_162) = all_4_104 & op(e1, e1) = % 23.80/4.12 | | | | | | | all_4_162 & $i(all_4_104) & $i(all_4_105) & % 23.80/4.12 | | | | | | | $i(all_4_162)) % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | BETA: splitting (765) gives: % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | | Case 1: % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | (766) ~ (all_4_102 = all_4_103) & op(all_4_162, e2) = % 23.80/4.12 | | | | | | | | all_4_103 & op(e1, all_4_155) = all_4_102 & op(e1, e2) % 23.80/4.12 | | | | | | | | = all_4_155 & op(e1, e1) = all_4_162 & $i(all_4_102) & % 23.80/4.12 | | | | | | | | $i(all_4_103) & $i(all_4_155) & $i(all_4_162) % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | ALPHA: (766) implies: % 23.80/4.12 | | | | | | | | (767) ~ (all_4_102 = all_4_103) % 23.80/4.12 | | | | | | | | (768) op(e1, e1) = all_4_162 % 23.80/4.12 | | | | | | | | (769) op(e1, e2) = all_4_155 % 23.80/4.12 | | | | | | | | (770) op(e1, all_4_155) = all_4_102 % 23.80/4.12 | | | | | | | | (771) op(all_4_162, e2) = all_4_103 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.80/4.12 | | | | | | | | simplifying with (1), (768) gives: % 23.80/4.12 | | | | | | | | (772) all_4_162 = e0 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 23.80/4.12 | | | | | | | | simplifying with (3), (769) gives: % 23.80/4.12 | | | | | | | | (773) all_4_155 = e3 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (771), (772) imply: % 23.80/4.12 | | | | | | | | (774) op(e0, e2) = all_4_103 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (770), (773) imply: % 23.80/4.12 | | | | | | | | (775) op(e1, e3) = all_4_102 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_102, e3, e1, % 23.80/4.12 | | | | | | | | simplifying with (4), (775) gives: % 23.80/4.12 | | | | | | | | (776) all_4_102 = e2 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_103, e2, e0, % 23.80/4.12 | | | | | | | | simplifying with (7), (774) gives: % 23.80/4.12 | | | | | | | | (777) all_4_103 = e2 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (767), (776), (777) imply: % 23.80/4.12 | | | | | | | | (778) $false % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | CLOSE: (778) is inconsistent. % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | Case 2: % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | (779) ~ (all_4_104 = all_4_105) & op(all_4_162, e1) = % 23.80/4.12 | | | | | | | | all_4_105 & op(e1, all_4_162) = all_4_104 & op(e1, e1) % 23.80/4.12 | | | | | | | | = all_4_162 & $i(all_4_104) & $i(all_4_105) & % 23.80/4.12 | | | | | | | | $i(all_4_162) % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | ALPHA: (779) implies: % 23.80/4.12 | | | | | | | | (780) ~ (all_4_104 = all_4_105) % 23.80/4.12 | | | | | | | | (781) op(e1, e1) = all_4_162 % 23.80/4.12 | | | | | | | | (782) op(e1, all_4_162) = all_4_104 % 23.80/4.12 | | | | | | | | (783) op(all_4_162, e1) = all_4_105 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.80/4.12 | | | | | | | | simplifying with (1), (781) gives: % 23.80/4.12 | | | | | | | | (784) all_4_162 = e0 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (783), (784) imply: % 23.80/4.12 | | | | | | | | (785) op(e0, e1) = all_4_105 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (782), (784) imply: % 23.80/4.12 | | | | | | | | (786) op(e1, e0) = all_4_104 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_104, e0, e1, % 23.80/4.12 | | | | | | | | simplifying with (2), (786) gives: % 23.80/4.12 | | | | | | | | (787) all_4_104 = e1 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_105, e1, e0, % 23.80/4.12 | | | | | | | | simplifying with (5), (785) gives: % 23.80/4.12 | | | | | | | | (788) all_4_105 = e1 % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | REDUCE: (780), (787), (788) imply: % 23.80/4.12 | | | | | | | | (789) $false % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | | CLOSE: (789) is inconsistent. % 23.80/4.12 | | | | | | | | % 23.80/4.12 | | | | | | | End of split % 23.80/4.12 | | | | | | | % 23.80/4.12 | | | | | | End of split % 23.80/4.12 | | | | | | % 23.80/4.12 | | | | | End of split % 23.80/4.12 | | | | | % 23.80/4.12 | | | | End of split % 23.80/4.12 | | | | % 23.80/4.12 | | | Case 2: % 23.80/4.12 | | | | % 23.80/4.12 | | | | (790) ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 & % 23.80/4.12 | | | | op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 & % 23.80/4.12 | | | | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) & % 23.80/4.12 | | | | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = all_4_109) % 23.80/4.12 | | | | & op(all_4_156, e3) = all_4_109 & op(e0, e3) = all_4_157 & % 23.80/4.12 | | | | op(e1, all_4_157) = all_4_108 & op(e1, e0) = all_4_156 & % 23.80/4.12 | | | | $i(all_4_108) & $i(all_4_109) & $i(all_4_156) & % 23.80/4.12 | | | | $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & op(all_4_156, % 23.80/4.12 | | | | e2) = all_4_111 & op(e0, e2) = all_4_158 & op(e1, % 23.80/4.12 | | | | all_4_158) = all_4_110 & op(e1, e0) = all_4_156 & % 23.80/4.12 | | | | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) & % 23.80/4.12 | | | | $i(all_4_158)) | ( ~ (all_4_112 = all_4_113) & op(all_4_156, % 23.80/4.12 | | | | e1) = all_4_113 & op(e0, e1) = all_4_159 & op(e1, % 23.80/4.12 | | | | all_4_159) = all_4_112 & op(e1, e0) = all_4_156 & % 23.80/4.12 | | | | $i(all_4_112) & $i(all_4_113) & $i(all_4_156) & % 23.80/4.12 | | | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & op(all_4_156, % 23.80/4.12 | | | | e0) = all_4_115 & op(e0, e0) = all_4_163 & op(e1, % 23.80/4.12 | | | | all_4_163) = all_4_114 & op(e1, e0) = all_4_156 & % 23.80/4.12 | | | | $i(all_4_114) & $i(all_4_115) & $i(all_4_156) & % 23.80/4.12 | | | | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & op(all_4_157, % 23.80/4.12 | | | | e3) = all_4_117 & op(e3, e3) = all_4_160 & op(e0, % 23.80/4.12 | | | | all_4_160) = all_4_116 & op(e0, e3) = all_4_157 & % 23.80/4.12 | | | | $i(all_4_116) & $i(all_4_117) & $i(all_4_157) & % 23.80/4.12 | | | | $i(all_4_160)) | ( ~ (all_4_118 = all_4_119) & op(all_4_157, % 23.80/4.12 | | | | e2) = all_4_119 & op(e3, e2) = all_4_148 & op(e0, % 23.80/4.12 | | | | all_4_148) = all_4_118 & op(e0, e3) = all_4_157 & % 23.80/4.12 | | | | $i(all_4_118) & $i(all_4_119) & $i(all_4_148) & % 23.80/4.12 | | | | $i(all_4_157)) | ( ~ (all_4_120 = all_4_121) & op(all_4_157, % 23.80/4.12 | | | | e1) = all_4_121 & op(e3, e1) = all_4_149 & op(e0, % 23.80/4.12 | | | | all_4_149) = all_4_120 & op(e0, e3) = all_4_157 & % 23.80/4.12 | | | | $i(all_4_120) & $i(all_4_121) & $i(all_4_149) & % 23.80/4.12 | | | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & op(all_4_157, % 23.80/4.12 | | | | e0) = all_4_123 & op(e3, e0) = all_4_150 & op(e0, % 23.80/4.12 | | | | all_4_150) = all_4_122 & op(e0, e3) = all_4_157 & % 23.80/4.12 | | | | $i(all_4_122) & $i(all_4_123) & $i(all_4_150) & % 23.80/4.12 | | | | $i(all_4_157)) | ( ~ (all_4_124 = all_4_125) & op(all_4_158, % 23.80/4.12 | | | | e3) = all_4_125 & op(e2, e3) = all_4_151 & op(e0, % 23.80/4.12 | | | | all_4_151) = all_4_124 & op(e0, e2) = all_4_158 & % 23.80/4.12 | | | | $i(all_4_124) & $i(all_4_125) & $i(all_4_151) & % 23.80/4.12 | | | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & op(all_4_158, % 23.80/4.12 | | | | e2) = all_4_127 & op(e2, e2) = all_4_161 & op(e0, % 23.80/4.12 | | | | all_4_161) = all_4_126 & op(e0, e2) = all_4_158 & % 23.80/4.12 | | | | $i(all_4_126) & $i(all_4_127) & $i(all_4_158) & % 23.80/4.12 | | | | $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) & op(all_4_158, % 23.80/4.12 | | | | e1) = all_4_129 & op(e2, e1) = all_4_152 & op(e0, % 23.80/4.12 | | | | all_4_152) = all_4_128 & op(e0, e2) = all_4_158 & % 23.80/4.12 | | | | $i(all_4_128) & $i(all_4_129) & $i(all_4_152) & % 23.80/4.12 | | | | $i(all_4_158)) | ( ~ (all_4_130 = all_4_131) & op(all_4_158, % 23.80/4.12 | | | | e0) = all_4_131 & op(e2, e0) = all_4_153 & op(e0, % 23.80/4.12 | | | | all_4_153) = all_4_130 & op(e0, e2) = all_4_158 & % 23.80/4.12 | | | | $i(all_4_130) & $i(all_4_131) & $i(all_4_153) & % 23.80/4.12 | | | | $i(all_4_158)) % 23.80/4.12 | | | | % 23.80/4.12 | | | | BETA: splitting (790) gives: % 23.80/4.12 | | | | % 23.80/4.12 | | | | Case 1: % 23.80/4.12 | | | | | % 23.80/4.13 | | | | | (791) ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 & % 23.80/4.13 | | | | | op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 & % 23.80/4.13 | | | | | op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) & % 23.80/4.13 | | | | | $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = % 23.80/4.13 | | | | | all_4_109) & op(all_4_156, e3) = all_4_109 & op(e0, e3) = % 23.80/4.13 | | | | | all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, e0) = % 23.80/4.13 | | | | | all_4_156 & $i(all_4_108) & $i(all_4_109) & $i(all_4_156) & % 23.80/4.13 | | | | | $i(all_4_157)) | ( ~ (all_4_110 = all_4_111) & % 23.80/4.13 | | | | | op(all_4_156, e2) = all_4_111 & op(e0, e2) = all_4_158 & % 23.80/4.13 | | | | | op(e1, all_4_158) = all_4_110 & op(e1, e0) = all_4_156 & % 23.80/4.13 | | | | | $i(all_4_110) & $i(all_4_111) & $i(all_4_156) & % 23.80/4.13 | | | | | $i(all_4_158)) | ( ~ (all_4_112 = all_4_113) & % 23.80/4.13 | | | | | op(all_4_156, e1) = all_4_113 & op(e0, e1) = all_4_159 & % 23.80/4.13 | | | | | op(e1, all_4_159) = all_4_112 & op(e1, e0) = all_4_156 & % 23.80/4.13 | | | | | $i(all_4_112) & $i(all_4_113) & $i(all_4_156) & % 23.80/4.13 | | | | | $i(all_4_159)) | ( ~ (all_4_114 = all_4_115) & % 23.80/4.13 | | | | | op(all_4_156, e0) = all_4_115 & op(e0, e0) = all_4_163 & % 23.80/4.13 | | | | | op(e1, all_4_163) = all_4_114 & op(e1, e0) = all_4_156 & % 23.80/4.13 | | | | | $i(all_4_114) & $i(all_4_115) & $i(all_4_156) & % 23.80/4.13 | | | | | $i(all_4_163)) | ( ~ (all_4_116 = all_4_117) & % 23.80/4.13 | | | | | op(all_4_157, e3) = all_4_117 & op(e3, e3) = all_4_160 & % 23.80/4.13 | | | | | op(e0, all_4_160) = all_4_116 & op(e0, e3) = all_4_157 & % 23.80/4.13 | | | | | $i(all_4_116) & $i(all_4_117) & $i(all_4_157) & % 23.80/4.13 | | | | | $i(all_4_160)) % 23.80/4.13 | | | | | % 23.80/4.13 | | | | | BETA: splitting (791) gives: % 23.80/4.13 | | | | | % 23.80/4.13 | | | | | Case 1: % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | (792) ( ~ (all_4_106 = all_4_107) & op(all_4_162, e0) = all_4_107 % 23.80/4.13 | | | | | | & op(e1, all_4_156) = all_4_106 & op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_106) & $i(all_4_107) % 23.80/4.13 | | | | | | & $i(all_4_156) & $i(all_4_162)) | ( ~ (all_4_108 = % 23.80/4.13 | | | | | | all_4_109) & op(all_4_156, e3) = all_4_109 & op(e0, e3) % 23.80/4.13 | | | | | | = all_4_157 & op(e1, all_4_157) = all_4_108 & op(e1, e0) % 23.80/4.13 | | | | | | = all_4_156 & $i(all_4_108) & $i(all_4_109) & % 23.80/4.13 | | | | | | $i(all_4_156) & $i(all_4_157)) | ( ~ (all_4_110 = % 23.80/4.13 | | | | | | all_4_111) & op(all_4_156, e2) = all_4_111 & op(e0, e2) % 23.80/4.13 | | | | | | = all_4_158 & op(e1, all_4_158) = all_4_110 & op(e1, e0) % 23.80/4.13 | | | | | | = all_4_156 & $i(all_4_110) & $i(all_4_111) & % 23.80/4.13 | | | | | | $i(all_4_156) & $i(all_4_158)) % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | BETA: splitting (792) gives: % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | Case 1: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | (793) ~ (all_4_106 = all_4_107) & op(all_4_162, e0) = % 23.80/4.13 | | | | | | | all_4_107 & op(e1, all_4_156) = all_4_106 & op(e1, e0) = % 23.80/4.13 | | | | | | | all_4_156 & op(e1, e1) = all_4_162 & $i(all_4_106) & % 23.80/4.13 | | | | | | | $i(all_4_107) & $i(all_4_156) & $i(all_4_162) % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | ALPHA: (793) implies: % 23.80/4.13 | | | | | | | (794) ~ (all_4_106 = all_4_107) % 23.80/4.13 | | | | | | | (795) op(e1, e1) = all_4_162 % 23.80/4.13 | | | | | | | (796) op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | | (797) op(e1, all_4_156) = all_4_106 % 23.80/4.13 | | | | | | | (798) op(all_4_162, e0) = all_4_107 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 23.80/4.13 | | | | | | | simplifying with (1), (795) gives: % 23.80/4.13 | | | | | | | (799) all_4_162 = e0 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.13 | | | | | | | simplifying with (2), (796) gives: % 23.80/4.13 | | | | | | | (800) all_4_156 = e1 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (798), (799) imply: % 23.80/4.13 | | | | | | | (801) op(e0, e0) = all_4_107 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (797), (800) imply: % 23.80/4.13 | | | | | | | (802) op(e1, e1) = all_4_106 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_106, e1, e1, % 23.80/4.13 | | | | | | | simplifying with (1), (802) gives: % 23.80/4.13 | | | | | | | (803) all_4_106 = e0 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_107, e0, e0, % 23.80/4.13 | | | | | | | simplifying with (6), (801) gives: % 23.80/4.13 | | | | | | | (804) all_4_107 = e0 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (794), (803), (804) imply: % 23.80/4.13 | | | | | | | (805) $false % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | CLOSE: (805) is inconsistent. % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | Case 2: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | (806) ( ~ (all_4_108 = all_4_109) & op(all_4_156, e3) = % 23.80/4.13 | | | | | | | all_4_109 & op(e0, e3) = all_4_157 & op(e1, all_4_157) % 23.80/4.13 | | | | | | | = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) & % 23.80/4.13 | | | | | | | $i(all_4_109) & $i(all_4_156) & $i(all_4_157)) | ( ~ % 23.80/4.13 | | | | | | | (all_4_110 = all_4_111) & op(all_4_156, e2) = all_4_111 % 23.80/4.13 | | | | | | | & op(e0, e2) = all_4_158 & op(e1, all_4_158) = % 23.80/4.13 | | | | | | | all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) & % 23.80/4.13 | | | | | | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158)) % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | BETA: splitting (806) gives: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | Case 1: % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | (807) ~ (all_4_108 = all_4_109) & op(all_4_156, e3) = % 23.80/4.13 | | | | | | | | all_4_109 & op(e0, e3) = all_4_157 & op(e1, all_4_157) % 23.80/4.13 | | | | | | | | = all_4_108 & op(e1, e0) = all_4_156 & $i(all_4_108) & % 23.80/4.13 | | | | | | | | $i(all_4_109) & $i(all_4_156) & $i(all_4_157) % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | ALPHA: (807) implies: % 23.80/4.13 | | | | | | | | (808) ~ (all_4_108 = all_4_109) % 23.80/4.13 | | | | | | | | (809) op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | | | (810) op(e1, all_4_157) = all_4_108 % 23.80/4.13 | | | | | | | | (811) op(e0, e3) = all_4_157 % 23.80/4.13 | | | | | | | | (812) op(all_4_156, e3) = all_4_109 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.13 | | | | | | | | simplifying with (2), (809) gives: % 23.80/4.13 | | | | | | | | (813) all_4_156 = e1 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.13 | | | | | | | | simplifying with (8), (811) gives: % 23.80/4.13 | | | | | | | | (814) all_4_157 = e3 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (812), (813) imply: % 23.80/4.13 | | | | | | | | (815) op(e1, e3) = all_4_109 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (810), (814) imply: % 23.80/4.13 | | | | | | | | (816) op(e1, e3) = all_4_108 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_108, e3, e1, % 23.80/4.13 | | | | | | | | simplifying with (4), (816) gives: % 23.80/4.13 | | | | | | | | (817) all_4_108 = e2 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with all_4_109, all_4_108, e3, % 23.80/4.13 | | | | | | | | e1, simplifying with (815), (816) gives: % 23.80/4.13 | | | | | | | | (818) all_4_108 = all_4_109 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | COMBINE_EQS: (817), (818) imply: % 23.80/4.13 | | | | | | | | (819) all_4_109 = e2 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (808), (817), (819) imply: % 23.80/4.13 | | | | | | | | (820) $false % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | CLOSE: (820) is inconsistent. % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | Case 2: % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | (821) ~ (all_4_110 = all_4_111) & op(all_4_156, e2) = % 23.80/4.13 | | | | | | | | all_4_111 & op(e0, e2) = all_4_158 & op(e1, all_4_158) % 23.80/4.13 | | | | | | | | = all_4_110 & op(e1, e0) = all_4_156 & $i(all_4_110) & % 23.80/4.13 | | | | | | | | $i(all_4_111) & $i(all_4_156) & $i(all_4_158) % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | ALPHA: (821) implies: % 23.80/4.13 | | | | | | | | (822) ~ (all_4_110 = all_4_111) % 23.80/4.13 | | | | | | | | (823) op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | | | (824) op(e1, all_4_158) = all_4_110 % 23.80/4.13 | | | | | | | | (825) op(e0, e2) = all_4_158 % 23.80/4.13 | | | | | | | | (826) op(all_4_156, e2) = all_4_111 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.13 | | | | | | | | simplifying with (2), (823) gives: % 23.80/4.13 | | | | | | | | (827) all_4_156 = e1 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 23.80/4.13 | | | | | | | | simplifying with (7), (825) gives: % 23.80/4.13 | | | | | | | | (828) all_4_158 = e2 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (826), (827) imply: % 23.80/4.13 | | | | | | | | (829) op(e1, e2) = all_4_111 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (824), (828) imply: % 23.80/4.13 | | | | | | | | (830) op(e1, e2) = all_4_110 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_110, e2, e1, % 23.80/4.13 | | | | | | | | simplifying with (3), (830) gives: % 23.80/4.13 | | | | | | | | (831) all_4_110 = e3 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with all_4_111, all_4_110, e2, % 23.80/4.13 | | | | | | | | e1, simplifying with (829), (830) gives: % 23.80/4.13 | | | | | | | | (832) all_4_110 = all_4_111 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | COMBINE_EQS: (831), (832) imply: % 23.80/4.13 | | | | | | | | (833) all_4_111 = e3 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (822), (831), (833) imply: % 23.80/4.13 | | | | | | | | (834) $false % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | CLOSE: (834) is inconsistent. % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | End of split % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | End of split % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | Case 2: % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | (835) ( ~ (all_4_112 = all_4_113) & op(all_4_156, e1) = all_4_113 % 23.80/4.13 | | | | | | & op(e0, e1) = all_4_159 & op(e1, all_4_159) = all_4_112 % 23.80/4.13 | | | | | | & op(e1, e0) = all_4_156 & $i(all_4_112) & $i(all_4_113) % 23.80/4.13 | | | | | | & $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_114 = % 23.80/4.13 | | | | | | all_4_115) & op(all_4_156, e0) = all_4_115 & op(e0, e0) % 23.80/4.13 | | | | | | = all_4_163 & op(e1, all_4_163) = all_4_114 & op(e1, e0) % 23.80/4.13 | | | | | | = all_4_156 & $i(all_4_114) & $i(all_4_115) & % 23.80/4.13 | | | | | | $i(all_4_156) & $i(all_4_163)) | ( ~ (all_4_116 = % 23.80/4.13 | | | | | | all_4_117) & op(all_4_157, e3) = all_4_117 & op(e3, e3) % 23.80/4.13 | | | | | | = all_4_160 & op(e0, all_4_160) = all_4_116 & op(e0, e3) % 23.80/4.13 | | | | | | = all_4_157 & $i(all_4_116) & $i(all_4_117) & % 23.80/4.13 | | | | | | $i(all_4_157) & $i(all_4_160)) % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | BETA: splitting (835) gives: % 23.80/4.13 | | | | | | % 23.80/4.13 | | | | | | Case 1: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | (836) ~ (all_4_112 = all_4_113) & op(all_4_156, e1) = % 23.80/4.13 | | | | | | | all_4_113 & op(e0, e1) = all_4_159 & op(e1, all_4_159) = % 23.80/4.13 | | | | | | | all_4_112 & op(e1, e0) = all_4_156 & $i(all_4_112) & % 23.80/4.13 | | | | | | | $i(all_4_113) & $i(all_4_156) & $i(all_4_159) % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | ALPHA: (836) implies: % 23.80/4.13 | | | | | | | (837) ~ (all_4_112 = all_4_113) % 23.80/4.13 | | | | | | | (838) op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | | (839) op(e1, all_4_159) = all_4_112 % 23.80/4.13 | | | | | | | (840) op(e0, e1) = all_4_159 % 23.80/4.13 | | | | | | | (841) op(all_4_156, e1) = all_4_113 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.13 | | | | | | | simplifying with (2), (838) gives: % 23.80/4.13 | | | | | | | (842) all_4_156 = e1 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 23.80/4.13 | | | | | | | simplifying with (5), (840) gives: % 23.80/4.13 | | | | | | | (843) all_4_159 = e1 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (841), (842) imply: % 23.80/4.13 | | | | | | | (844) op(e1, e1) = all_4_113 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (839), (843) imply: % 23.80/4.13 | | | | | | | (845) op(e1, e1) = all_4_112 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_112, e1, e1, % 23.80/4.13 | | | | | | | simplifying with (1), (845) gives: % 23.80/4.13 | | | | | | | (846) all_4_112 = e0 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | GROUND_INST: instantiating (24) with all_4_113, all_4_112, e1, e1, % 23.80/4.13 | | | | | | | simplifying with (844), (845) gives: % 23.80/4.13 | | | | | | | (847) all_4_112 = all_4_113 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | COMBINE_EQS: (846), (847) imply: % 23.80/4.13 | | | | | | | (848) all_4_113 = e0 % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | REDUCE: (837), (846), (848) imply: % 23.80/4.13 | | | | | | | (849) $false % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | CLOSE: (849) is inconsistent. % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | Case 2: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | (850) ( ~ (all_4_114 = all_4_115) & op(all_4_156, e0) = % 23.80/4.13 | | | | | | | all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163) % 23.80/4.13 | | | | | | | = all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) & % 23.80/4.13 | | | | | | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163)) | ( ~ % 23.80/4.13 | | | | | | | (all_4_116 = all_4_117) & op(all_4_157, e3) = all_4_117 % 23.80/4.13 | | | | | | | & op(e3, e3) = all_4_160 & op(e0, all_4_160) = % 23.80/4.13 | | | | | | | all_4_116 & op(e0, e3) = all_4_157 & $i(all_4_116) & % 23.80/4.13 | | | | | | | $i(all_4_117) & $i(all_4_157) & $i(all_4_160)) % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | BETA: splitting (850) gives: % 23.80/4.13 | | | | | | | % 23.80/4.13 | | | | | | | Case 1: % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | (851) ~ (all_4_114 = all_4_115) & op(all_4_156, e0) = % 23.80/4.13 | | | | | | | | all_4_115 & op(e0, e0) = all_4_163 & op(e1, all_4_163) % 23.80/4.13 | | | | | | | | = all_4_114 & op(e1, e0) = all_4_156 & $i(all_4_114) & % 23.80/4.13 | | | | | | | | $i(all_4_115) & $i(all_4_156) & $i(all_4_163) % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | ALPHA: (851) implies: % 23.80/4.13 | | | | | | | | (852) ~ (all_4_114 = all_4_115) % 23.80/4.13 | | | | | | | | (853) op(e1, e0) = all_4_156 % 23.80/4.13 | | | | | | | | (854) op(e1, all_4_163) = all_4_114 % 23.80/4.13 | | | | | | | | (855) op(e0, e0) = all_4_163 % 23.80/4.13 | | | | | | | | (856) op(all_4_156, e0) = all_4_115 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 23.80/4.13 | | | | | | | | simplifying with (2), (853) gives: % 23.80/4.13 | | | | | | | | (857) all_4_156 = e1 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 23.80/4.13 | | | | | | | | simplifying with (6), (855) gives: % 23.80/4.13 | | | | | | | | (858) all_4_163 = e0 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (856), (857) imply: % 23.80/4.13 | | | | | | | | (859) op(e1, e0) = all_4_115 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | REDUCE: (854), (858) imply: % 23.80/4.13 | | | | | | | | (860) op(e1, e0) = all_4_114 % 23.80/4.13 | | | | | | | | % 23.80/4.13 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_114, e0, e1, % 23.80/4.13 | | | | | | | | simplifying with (2), (860) gives: % 23.80/4.13 | | | | | | | | (861) all_4_114 = e1 % 23.80/4.13 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with all_4_115, all_4_114, e0, % 23.80/4.14 | | | | | | | | e1, simplifying with (859), (860) gives: % 23.80/4.14 | | | | | | | | (862) all_4_114 = all_4_115 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | COMBINE_EQS: (861), (862) imply: % 23.80/4.14 | | | | | | | | (863) all_4_115 = e1 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (852), (861), (863) imply: % 23.80/4.14 | | | | | | | | (864) $false % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | CLOSE: (864) is inconsistent. % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | Case 2: % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | (865) ~ (all_4_116 = all_4_117) & op(all_4_157, e3) = % 23.80/4.14 | | | | | | | | all_4_117 & op(e3, e3) = all_4_160 & op(e0, all_4_160) % 23.80/4.14 | | | | | | | | = all_4_116 & op(e0, e3) = all_4_157 & $i(all_4_116) & % 23.80/4.14 | | | | | | | | $i(all_4_117) & $i(all_4_157) & $i(all_4_160) % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | ALPHA: (865) implies: % 23.80/4.14 | | | | | | | | (866) ~ (all_4_116 = all_4_117) % 23.80/4.14 | | | | | | | | (867) op(e0, e3) = all_4_157 % 23.80/4.14 | | | | | | | | (868) op(e0, all_4_160) = all_4_116 % 23.80/4.14 | | | | | | | | (869) op(e3, e3) = all_4_160 % 23.80/4.14 | | | | | | | | (870) op(all_4_157, e3) = all_4_117 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.14 | | | | | | | | simplifying with (8), (867) gives: % 23.80/4.14 | | | | | | | | (871) all_4_157 = e3 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 23.80/4.14 | | | | | | | | simplifying with (16), (869) gives: % 23.80/4.14 | | | | | | | | (872) all_4_160 = e0 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (870), (871) imply: % 23.80/4.14 | | | | | | | | (873) op(e3, e3) = all_4_117 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (868), (872) imply: % 23.80/4.14 | | | | | | | | (874) op(e0, e0) = all_4_116 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_116, e0, e0, % 23.80/4.14 | | | | | | | | simplifying with (6), (874) gives: % 23.80/4.14 | | | | | | | | (875) all_4_116 = e0 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_117, e3, e3, % 23.80/4.14 | | | | | | | | simplifying with (16), (873) gives: % 23.80/4.14 | | | | | | | | (876) all_4_117 = e0 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (866), (875), (876) imply: % 23.80/4.14 | | | | | | | | (877) $false % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | CLOSE: (877) is inconsistent. % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | End of split % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | End of split % 23.80/4.14 | | | | | | % 23.80/4.14 | | | | | End of split % 23.80/4.14 | | | | | % 23.80/4.14 | | | | Case 2: % 23.80/4.14 | | | | | % 23.80/4.14 | | | | | (878) ( ~ (all_4_118 = all_4_119) & op(all_4_157, e2) = all_4_119 & % 23.80/4.14 | | | | | op(e3, e2) = all_4_148 & op(e0, all_4_148) = all_4_118 & % 23.80/4.14 | | | | | op(e0, e3) = all_4_157 & $i(all_4_118) & $i(all_4_119) & % 23.80/4.14 | | | | | $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 = % 23.80/4.14 | | | | | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) = % 23.80/4.14 | | | | | all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) = % 23.80/4.14 | | | | | all_4_157 & $i(all_4_120) & $i(all_4_121) & $i(all_4_149) & % 23.80/4.14 | | | | | $i(all_4_157)) | ( ~ (all_4_122 = all_4_123) & % 23.80/4.14 | | | | | op(all_4_157, e0) = all_4_123 & op(e3, e0) = all_4_150 & % 23.80/4.14 | | | | | op(e0, all_4_150) = all_4_122 & op(e0, e3) = all_4_157 & % 23.80/4.14 | | | | | $i(all_4_122) & $i(all_4_123) & $i(all_4_150) & % 23.80/4.14 | | | | | $i(all_4_157)) | ( ~ (all_4_124 = all_4_125) & % 23.80/4.14 | | | | | op(all_4_158, e3) = all_4_125 & op(e2, e3) = all_4_151 & % 23.80/4.14 | | | | | op(e0, all_4_151) = all_4_124 & op(e0, e2) = all_4_158 & % 23.80/4.14 | | | | | $i(all_4_124) & $i(all_4_125) & $i(all_4_151) & % 23.80/4.14 | | | | | $i(all_4_158)) | ( ~ (all_4_126 = all_4_127) & % 23.80/4.14 | | | | | op(all_4_158, e2) = all_4_127 & op(e2, e2) = all_4_161 & % 23.80/4.14 | | | | | op(e0, all_4_161) = all_4_126 & op(e0, e2) = all_4_158 & % 23.80/4.14 | | | | | $i(all_4_126) & $i(all_4_127) & $i(all_4_158) & % 23.80/4.14 | | | | | $i(all_4_161)) | ( ~ (all_4_128 = all_4_129) & % 23.80/4.14 | | | | | op(all_4_158, e1) = all_4_129 & op(e2, e1) = all_4_152 & % 23.80/4.14 | | | | | op(e0, all_4_152) = all_4_128 & op(e0, e2) = all_4_158 & % 23.80/4.14 | | | | | $i(all_4_128) & $i(all_4_129) & $i(all_4_152) & % 23.80/4.14 | | | | | $i(all_4_158)) | ( ~ (all_4_130 = all_4_131) & % 23.80/4.14 | | | | | op(all_4_158, e0) = all_4_131 & op(e2, e0) = all_4_153 & % 23.80/4.14 | | | | | op(e0, all_4_153) = all_4_130 & op(e0, e2) = all_4_158 & % 23.80/4.14 | | | | | $i(all_4_130) & $i(all_4_131) & $i(all_4_153) & % 23.80/4.14 | | | | | $i(all_4_158)) % 23.80/4.14 | | | | | % 23.80/4.14 | | | | | BETA: splitting (878) gives: % 23.80/4.14 | | | | | % 23.80/4.14 | | | | | Case 1: % 23.80/4.14 | | | | | | % 23.80/4.14 | | | | | | (879) ( ~ (all_4_118 = all_4_119) & op(all_4_157, e2) = all_4_119 % 23.80/4.14 | | | | | | & op(e3, e2) = all_4_148 & op(e0, all_4_148) = all_4_118 % 23.80/4.14 | | | | | | & op(e0, e3) = all_4_157 & $i(all_4_118) & $i(all_4_119) % 23.80/4.14 | | | | | | & $i(all_4_148) & $i(all_4_157)) | ( ~ (all_4_120 = % 23.80/4.14 | | | | | | all_4_121) & op(all_4_157, e1) = all_4_121 & op(e3, e1) % 23.80/4.14 | | | | | | = all_4_149 & op(e0, all_4_149) = all_4_120 & op(e0, e3) % 23.80/4.14 | | | | | | = all_4_157 & $i(all_4_120) & $i(all_4_121) & % 23.80/4.14 | | | | | | $i(all_4_149) & $i(all_4_157)) | ( ~ (all_4_122 = % 23.80/4.14 | | | | | | all_4_123) & op(all_4_157, e0) = all_4_123 & op(e3, e0) % 23.80/4.14 | | | | | | = all_4_150 & op(e0, all_4_150) = all_4_122 & op(e0, e3) % 23.80/4.14 | | | | | | = all_4_157 & $i(all_4_122) & $i(all_4_123) & % 23.80/4.14 | | | | | | $i(all_4_150) & $i(all_4_157)) % 23.80/4.14 | | | | | | % 23.80/4.14 | | | | | | BETA: splitting (879) gives: % 23.80/4.14 | | | | | | % 23.80/4.14 | | | | | | Case 1: % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | (880) ~ (all_4_118 = all_4_119) & op(all_4_157, e2) = % 23.80/4.14 | | | | | | | all_4_119 & op(e3, e2) = all_4_148 & op(e0, all_4_148) = % 23.80/4.14 | | | | | | | all_4_118 & op(e0, e3) = all_4_157 & $i(all_4_118) & % 23.80/4.14 | | | | | | | $i(all_4_119) & $i(all_4_148) & $i(all_4_157) % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | ALPHA: (880) implies: % 23.80/4.14 | | | | | | | (881) ~ (all_4_118 = all_4_119) % 23.80/4.14 | | | | | | | (882) op(e0, e3) = all_4_157 % 23.80/4.14 | | | | | | | (883) op(e0, all_4_148) = all_4_118 % 23.80/4.14 | | | | | | | (884) op(e3, e2) = all_4_148 % 23.80/4.14 | | | | | | | (885) op(all_4_157, e2) = all_4_119 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.14 | | | | | | | simplifying with (8), (882) gives: % 23.80/4.14 | | | | | | | (886) all_4_157 = e3 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 23.80/4.14 | | | | | | | simplifying with (15), (884) gives: % 23.80/4.14 | | | | | | | (887) all_4_148 = e1 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | REDUCE: (885), (886) imply: % 23.80/4.14 | | | | | | | (888) op(e3, e2) = all_4_119 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | REDUCE: (883), (887) imply: % 23.80/4.14 | | | | | | | (889) op(e0, e1) = all_4_118 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_118, e1, e0, % 23.80/4.14 | | | | | | | simplifying with (5), (889) gives: % 23.80/4.14 | | | | | | | (890) all_4_118 = e1 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_119, e2, e3, % 23.80/4.14 | | | | | | | simplifying with (15), (888) gives: % 23.80/4.14 | | | | | | | (891) all_4_119 = e1 % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | REDUCE: (881), (890), (891) imply: % 23.80/4.14 | | | | | | | (892) $false % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | CLOSE: (892) is inconsistent. % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | Case 2: % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | (893) ( ~ (all_4_120 = all_4_121) & op(all_4_157, e1) = % 23.80/4.14 | | | | | | | all_4_121 & op(e3, e1) = all_4_149 & op(e0, all_4_149) % 23.80/4.14 | | | | | | | = all_4_120 & op(e0, e3) = all_4_157 & $i(all_4_120) & % 23.80/4.14 | | | | | | | $i(all_4_121) & $i(all_4_149) & $i(all_4_157)) | ( ~ % 23.80/4.14 | | | | | | | (all_4_122 = all_4_123) & op(all_4_157, e0) = all_4_123 % 23.80/4.14 | | | | | | | & op(e3, e0) = all_4_150 & op(e0, all_4_150) = % 23.80/4.14 | | | | | | | all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) & % 23.80/4.14 | | | | | | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157)) % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | BETA: splitting (893) gives: % 23.80/4.14 | | | | | | | % 23.80/4.14 | | | | | | | Case 1: % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | (894) ~ (all_4_120 = all_4_121) & op(all_4_157, e1) = % 23.80/4.14 | | | | | | | | all_4_121 & op(e3, e1) = all_4_149 & op(e0, all_4_149) % 23.80/4.14 | | | | | | | | = all_4_120 & op(e0, e3) = all_4_157 & $i(all_4_120) & % 23.80/4.14 | | | | | | | | $i(all_4_121) & $i(all_4_149) & $i(all_4_157) % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | ALPHA: (894) implies: % 23.80/4.14 | | | | | | | | (895) ~ (all_4_120 = all_4_121) % 23.80/4.14 | | | | | | | | (896) op(e0, e3) = all_4_157 % 23.80/4.14 | | | | | | | | (897) op(e0, all_4_149) = all_4_120 % 23.80/4.14 | | | | | | | | (898) op(e3, e1) = all_4_149 % 23.80/4.14 | | | | | | | | (899) op(all_4_157, e1) = all_4_121 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.14 | | | | | | | | simplifying with (8), (896) gives: % 23.80/4.14 | | | | | | | | (900) all_4_157 = e3 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 23.80/4.14 | | | | | | | | simplifying with (13), (898) gives: % 23.80/4.14 | | | | | | | | (901) all_4_149 = e2 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (899), (900) imply: % 23.80/4.14 | | | | | | | | (902) op(e3, e1) = all_4_121 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (897), (901) imply: % 23.80/4.14 | | | | | | | | (903) op(e0, e2) = all_4_120 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_120, e2, e0, % 23.80/4.14 | | | | | | | | simplifying with (7), (903) gives: % 23.80/4.14 | | | | | | | | (904) all_4_120 = e2 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_121, e1, e3, % 23.80/4.14 | | | | | | | | simplifying with (13), (902) gives: % 23.80/4.14 | | | | | | | | (905) all_4_121 = e2 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (895), (904), (905) imply: % 23.80/4.14 | | | | | | | | (906) $false % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | CLOSE: (906) is inconsistent. % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | Case 2: % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | (907) ~ (all_4_122 = all_4_123) & op(all_4_157, e0) = % 23.80/4.14 | | | | | | | | all_4_123 & op(e3, e0) = all_4_150 & op(e0, all_4_150) % 23.80/4.14 | | | | | | | | = all_4_122 & op(e0, e3) = all_4_157 & $i(all_4_122) & % 23.80/4.14 | | | | | | | | $i(all_4_123) & $i(all_4_150) & $i(all_4_157) % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | ALPHA: (907) implies: % 23.80/4.14 | | | | | | | | (908) ~ (all_4_122 = all_4_123) % 23.80/4.14 | | | | | | | | (909) op(e0, e3) = all_4_157 % 23.80/4.14 | | | | | | | | (910) op(e0, all_4_150) = all_4_122 % 23.80/4.14 | | | | | | | | (911) op(e3, e0) = all_4_150 % 23.80/4.14 | | | | | | | | (912) op(all_4_157, e0) = all_4_123 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 23.80/4.14 | | | | | | | | simplifying with (8), (909) gives: % 23.80/4.14 | | | | | | | | (913) all_4_157 = e3 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 23.80/4.14 | | | | | | | | simplifying with (14), (911) gives: % 23.80/4.14 | | | | | | | | (914) all_4_150 = e3 % 23.80/4.14 | | | | | | | | % 23.80/4.14 | | | | | | | | REDUCE: (912), (913) imply: % 23.80/4.14 | | | | | | | | (915) op(e3, e0) = all_4_123 % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | REDUCE: (910), (914) imply: % 24.21/4.14 | | | | | | | | (916) op(e0, e3) = all_4_122 % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_122, e3, e0, % 24.21/4.14 | | | | | | | | simplifying with (8), (916) gives: % 24.21/4.14 | | | | | | | | (917) all_4_122 = e3 % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_123, e0, e3, % 24.21/4.14 | | | | | | | | simplifying with (14), (915) gives: % 24.21/4.14 | | | | | | | | (918) all_4_123 = e3 % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | REDUCE: (908), (917), (918) imply: % 24.21/4.14 | | | | | | | | (919) $false % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | CLOSE: (919) is inconsistent. % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | End of split % 24.21/4.14 | | | | | | | % 24.21/4.14 | | | | | | End of split % 24.21/4.14 | | | | | | % 24.21/4.14 | | | | | Case 2: % 24.21/4.14 | | | | | | % 24.21/4.14 | | | | | | (920) ( ~ (all_4_124 = all_4_125) & op(all_4_158, e3) = all_4_125 % 24.21/4.14 | | | | | | & op(e2, e3) = all_4_151 & op(e0, all_4_151) = all_4_124 % 24.21/4.14 | | | | | | & op(e0, e2) = all_4_158 & $i(all_4_124) & $i(all_4_125) % 24.21/4.14 | | | | | | & $i(all_4_151) & $i(all_4_158)) | ( ~ (all_4_126 = % 24.21/4.14 | | | | | | all_4_127) & op(all_4_158, e2) = all_4_127 & op(e2, e2) % 24.21/4.14 | | | | | | = all_4_161 & op(e0, all_4_161) = all_4_126 & op(e0, e2) % 24.21/4.14 | | | | | | = all_4_158 & $i(all_4_126) & $i(all_4_127) & % 24.21/4.14 | | | | | | $i(all_4_158) & $i(all_4_161)) | ( ~ (all_4_128 = % 24.21/4.14 | | | | | | all_4_129) & op(all_4_158, e1) = all_4_129 & op(e2, e1) % 24.21/4.14 | | | | | | = all_4_152 & op(e0, all_4_152) = all_4_128 & op(e0, e2) % 24.21/4.14 | | | | | | = all_4_158 & $i(all_4_128) & $i(all_4_129) & % 24.21/4.14 | | | | | | $i(all_4_152) & $i(all_4_158)) | ( ~ (all_4_130 = % 24.21/4.14 | | | | | | all_4_131) & op(all_4_158, e0) = all_4_131 & op(e2, e0) % 24.21/4.14 | | | | | | = all_4_153 & op(e0, all_4_153) = all_4_130 & op(e0, e2) % 24.21/4.14 | | | | | | = all_4_158 & $i(all_4_130) & $i(all_4_131) & % 24.21/4.14 | | | | | | $i(all_4_153) & $i(all_4_158)) % 24.21/4.14 | | | | | | % 24.21/4.14 | | | | | | BETA: splitting (920) gives: % 24.21/4.14 | | | | | | % 24.21/4.14 | | | | | | Case 1: % 24.21/4.14 | | | | | | | % 24.21/4.14 | | | | | | | (921) ( ~ (all_4_124 = all_4_125) & op(all_4_158, e3) = % 24.21/4.14 | | | | | | | all_4_125 & op(e2, e3) = all_4_151 & op(e0, all_4_151) % 24.21/4.14 | | | | | | | = all_4_124 & op(e0, e2) = all_4_158 & $i(all_4_124) & % 24.21/4.14 | | | | | | | $i(all_4_125) & $i(all_4_151) & $i(all_4_158)) | ( ~ % 24.21/4.14 | | | | | | | (all_4_126 = all_4_127) & op(all_4_158, e2) = all_4_127 % 24.21/4.14 | | | | | | | & op(e2, e2) = all_4_161 & op(e0, all_4_161) = % 24.21/4.14 | | | | | | | all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) & % 24.21/4.14 | | | | | | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161)) % 24.21/4.14 | | | | | | | % 24.21/4.14 | | | | | | | BETA: splitting (921) gives: % 24.21/4.14 | | | | | | | % 24.21/4.14 | | | | | | | Case 1: % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | (922) ~ (all_4_124 = all_4_125) & op(all_4_158, e3) = % 24.21/4.14 | | | | | | | | all_4_125 & op(e2, e3) = all_4_151 & op(e0, all_4_151) % 24.21/4.14 | | | | | | | | = all_4_124 & op(e0, e2) = all_4_158 & $i(all_4_124) & % 24.21/4.14 | | | | | | | | $i(all_4_125) & $i(all_4_151) & $i(all_4_158) % 24.21/4.14 | | | | | | | | % 24.21/4.14 | | | | | | | | ALPHA: (922) implies: % 24.21/4.14 | | | | | | | | (923) ~ (all_4_124 = all_4_125) % 24.21/4.14 | | | | | | | | (924) op(e0, e2) = all_4_158 % 24.21/4.14 | | | | | | | | (925) op(e0, all_4_151) = all_4_124 % 24.21/4.15 | | | | | | | | (926) op(e2, e3) = all_4_151 % 24.21/4.15 | | | | | | | | (927) op(all_4_158, e3) = all_4_125 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.21/4.15 | | | | | | | | simplifying with (7), (924) gives: % 24.21/4.15 | | | | | | | | (928) all_4_158 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 24.21/4.15 | | | | | | | | simplifying with (12), (926) gives: % 24.21/4.15 | | | | | | | | (929) all_4_151 = e1 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (927), (928) imply: % 24.21/4.15 | | | | | | | | (930) op(e2, e3) = all_4_125 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (925), (929) imply: % 24.21/4.15 | | | | | | | | (931) op(e0, e1) = all_4_124 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_124, e1, e0, % 24.21/4.15 | | | | | | | | simplifying with (5), (931) gives: % 24.21/4.15 | | | | | | | | (932) all_4_124 = e1 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_125, e3, e2, % 24.21/4.15 | | | | | | | | simplifying with (12), (930) gives: % 24.21/4.15 | | | | | | | | (933) all_4_125 = e1 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (923), (932), (933) imply: % 24.21/4.15 | | | | | | | | (934) $false % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | CLOSE: (934) is inconsistent. % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | Case 2: % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | (935) ~ (all_4_126 = all_4_127) & op(all_4_158, e2) = % 24.21/4.15 | | | | | | | | all_4_127 & op(e2, e2) = all_4_161 & op(e0, all_4_161) % 24.21/4.15 | | | | | | | | = all_4_126 & op(e0, e2) = all_4_158 & $i(all_4_126) & % 24.21/4.15 | | | | | | | | $i(all_4_127) & $i(all_4_158) & $i(all_4_161) % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | ALPHA: (935) implies: % 24.21/4.15 | | | | | | | | (936) ~ (all_4_126 = all_4_127) % 24.21/4.15 | | | | | | | | (937) op(e0, e2) = all_4_158 % 24.21/4.15 | | | | | | | | (938) op(e0, all_4_161) = all_4_126 % 24.21/4.15 | | | | | | | | (939) op(e2, e2) = all_4_161 % 24.21/4.15 | | | | | | | | (940) op(all_4_158, e2) = all_4_127 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.21/4.15 | | | | | | | | simplifying with (7), (937) gives: % 24.21/4.15 | | | | | | | | (941) all_4_158 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 24.21/4.15 | | | | | | | | simplifying with (11), (939) gives: % 24.21/4.15 | | | | | | | | (942) all_4_161 = e0 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (940), (941) imply: % 24.21/4.15 | | | | | | | | (943) op(e2, e2) = all_4_127 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (938), (942) imply: % 24.21/4.15 | | | | | | | | (944) op(e0, e0) = all_4_126 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_126, e0, e0, % 24.21/4.15 | | | | | | | | simplifying with (6), (944) gives: % 24.21/4.15 | | | | | | | | (945) all_4_126 = e0 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_127, e2, e2, % 24.21/4.15 | | | | | | | | simplifying with (11), (943) gives: % 24.21/4.15 | | | | | | | | (946) all_4_127 = e0 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (936), (945), (946) imply: % 24.21/4.15 | | | | | | | | (947) $false % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | CLOSE: (947) is inconsistent. % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | End of split % 24.21/4.15 | | | | | | | % 24.21/4.15 | | | | | | Case 2: % 24.21/4.15 | | | | | | | % 24.21/4.15 | | | | | | | (948) ( ~ (all_4_128 = all_4_129) & op(all_4_158, e1) = % 24.21/4.15 | | | | | | | all_4_129 & op(e2, e1) = all_4_152 & op(e0, all_4_152) % 24.21/4.15 | | | | | | | = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) & % 24.21/4.15 | | | | | | | $i(all_4_129) & $i(all_4_152) & $i(all_4_158)) | ( ~ % 24.21/4.15 | | | | | | | (all_4_130 = all_4_131) & op(all_4_158, e0) = all_4_131 % 24.21/4.15 | | | | | | | & op(e2, e0) = all_4_153 & op(e0, all_4_153) = % 24.21/4.15 | | | | | | | all_4_130 & op(e0, e2) = all_4_158 & $i(all_4_130) & % 24.21/4.15 | | | | | | | $i(all_4_131) & $i(all_4_153) & $i(all_4_158)) % 24.21/4.15 | | | | | | | % 24.21/4.15 | | | | | | | BETA: splitting (948) gives: % 24.21/4.15 | | | | | | | % 24.21/4.15 | | | | | | | Case 1: % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | (949) ~ (all_4_128 = all_4_129) & op(all_4_158, e1) = % 24.21/4.15 | | | | | | | | all_4_129 & op(e2, e1) = all_4_152 & op(e0, all_4_152) % 24.21/4.15 | | | | | | | | = all_4_128 & op(e0, e2) = all_4_158 & $i(all_4_128) & % 24.21/4.15 | | | | | | | | $i(all_4_129) & $i(all_4_152) & $i(all_4_158) % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | ALPHA: (949) implies: % 24.21/4.15 | | | | | | | | (950) ~ (all_4_128 = all_4_129) % 24.21/4.15 | | | | | | | | (951) op(e0, e2) = all_4_158 % 24.21/4.15 | | | | | | | | (952) op(e0, all_4_152) = all_4_128 % 24.21/4.15 | | | | | | | | (953) op(e2, e1) = all_4_152 % 24.21/4.15 | | | | | | | | (954) op(all_4_158, e1) = all_4_129 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.21/4.15 | | | | | | | | simplifying with (7), (951) gives: % 24.21/4.15 | | | | | | | | (955) all_4_158 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 24.21/4.15 | | | | | | | | simplifying with (9), (953) gives: % 24.21/4.15 | | | | | | | | (956) all_4_152 = e3 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (954), (955) imply: % 24.21/4.15 | | | | | | | | (957) op(e2, e1) = all_4_129 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (952), (956) imply: % 24.21/4.15 | | | | | | | | (958) op(e0, e3) = all_4_128 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_128, e3, e0, % 24.21/4.15 | | | | | | | | simplifying with (8), (958) gives: % 24.21/4.15 | | | | | | | | (959) all_4_128 = e3 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_129, e1, e2, % 24.21/4.15 | | | | | | | | simplifying with (9), (957) gives: % 24.21/4.15 | | | | | | | | (960) all_4_129 = e3 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (950), (959), (960) imply: % 24.21/4.15 | | | | | | | | (961) $false % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | CLOSE: (961) is inconsistent. % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | Case 2: % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | (962) ~ (all_4_130 = all_4_131) & op(all_4_158, e0) = % 24.21/4.15 | | | | | | | | all_4_131 & op(e2, e0) = all_4_153 & op(e0, all_4_153) % 24.21/4.15 | | | | | | | | = all_4_130 & op(e0, e2) = all_4_158 & $i(all_4_130) & % 24.21/4.15 | | | | | | | | $i(all_4_131) & $i(all_4_153) & $i(all_4_158) % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | ALPHA: (962) implies: % 24.21/4.15 | | | | | | | | (963) ~ (all_4_130 = all_4_131) % 24.21/4.15 | | | | | | | | (964) op(e0, e2) = all_4_158 % 24.21/4.15 | | | | | | | | (965) op(e0, all_4_153) = all_4_130 % 24.21/4.15 | | | | | | | | (966) op(e2, e0) = all_4_153 % 24.21/4.15 | | | | | | | | (967) op(all_4_158, e0) = all_4_131 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.21/4.15 | | | | | | | | simplifying with (7), (964) gives: % 24.21/4.15 | | | | | | | | (968) all_4_158 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 24.21/4.15 | | | | | | | | simplifying with (10), (966) gives: % 24.21/4.15 | | | | | | | | (969) all_4_153 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (967), (968) imply: % 24.21/4.15 | | | | | | | | (970) op(e2, e0) = all_4_131 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (965), (969) imply: % 24.21/4.15 | | | | | | | | (971) op(e0, e2) = all_4_130 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_130, e2, e0, % 24.21/4.15 | | | | | | | | simplifying with (7), (971) gives: % 24.21/4.15 | | | | | | | | (972) all_4_130 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_131, e0, e2, % 24.21/4.15 | | | | | | | | simplifying with (10), (970) gives: % 24.21/4.15 | | | | | | | | (973) all_4_131 = e2 % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | REDUCE: (963), (972), (973) imply: % 24.21/4.15 | | | | | | | | (974) $false % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | | CLOSE: (974) is inconsistent. % 24.21/4.15 | | | | | | | | % 24.21/4.15 | | | | | | | End of split % 24.21/4.15 | | | | | | | % 24.21/4.15 | | | | | | End of split % 24.21/4.15 | | | | | | % 24.21/4.15 | | | | | End of split % 24.21/4.15 | | | | | % 24.21/4.15 | | | | End of split % 24.21/4.15 | | | | % 24.21/4.15 | | | End of split % 24.21/4.15 | | | % 24.21/4.15 | | Case 2: % 24.21/4.15 | | | % 24.21/4.15 | | | (975) ( ~ (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 & % 24.21/4.15 | | | op(e0, all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & op(e1, % 24.21/4.15 | | | e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) & % 24.21/4.15 | | | $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 = all_4_135) & % 24.21/4.15 | | | op(all_4_159, e2) = all_4_135 & op(e0, all_4_155) = all_4_134 & % 24.21/4.15 | | | op(e0, e1) = all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) % 24.21/4.15 | | | & $i(all_4_135) & $i(all_4_155) & $i(all_4_159)) | ( ~ % 24.21/4.15 | | | (all_4_136 = all_4_137) & op(all_4_159, e1) = all_4_137 & % 24.21/4.15 | | | op(e0, all_4_162) = all_4_136 & op(e0, e1) = all_4_159 & op(e1, % 24.21/4.15 | | | e1) = all_4_162 & $i(all_4_136) & $i(all_4_137) & % 24.21/4.15 | | | $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 = all_4_139) & % 24.21/4.15 | | | op(all_4_159, e0) = all_4_139 & op(e0, all_4_156) = all_4_138 & % 24.21/4.15 | | | op(e0, e1) = all_4_159 & op(e1, e0) = all_4_156 & $i(all_4_138) % 24.21/4.15 | | | & $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | ( ~ % 24.21/4.15 | | | (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 & % 24.21/4.15 | | | op(e0, all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0, % 24.21/4.15 | | | e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) & % 24.21/4.15 | | | $i(all_4_157) & $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & % 24.21/4.15 | | | op(all_4_163, e2) = all_4_143 & op(e0, all_4_158) = all_4_142 & % 24.21/4.15 | | | op(e0, e2) = all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) % 24.21/4.15 | | | & $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) | ( ~ % 24.21/4.15 | | | (all_4_144 = all_4_145) & op(all_4_163, e1) = all_4_145 & % 24.21/4.15 | | | op(e0, all_4_159) = all_4_144 & op(e0, e0) = all_4_163 & op(e0, % 24.21/4.15 | | | e1) = all_4_159 & $i(all_4_144) & $i(all_4_145) & % 24.21/4.15 | | | $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 = all_4_147) & % 24.21/4.15 | | | op(all_4_163, e0) = all_4_147 & op(e0, all_4_163) = all_4_146 & % 24.21/4.15 | | | op(e0, e0) = all_4_163 & $i(all_4_146) & $i(all_4_147) & % 24.21/4.15 | | | $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & % 24.21/4.15 | | | ~ (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) = % 24.21/4.15 | | | all_4_148 & $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ % 24.21/4.15 | | | (all_4_149 = e2) & ~ (all_4_149 = e0) & ~ (all_4_149 = e1) & % 24.21/4.15 | | | op(e3, e1) = all_4_149 & $i(all_4_149)) | ( ~ (all_4_150 = e3) % 24.21/4.15 | | | & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~ (all_4_150 = % 24.21/4.15 | | | e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) | ( ~ % 24.21/4.15 | | | (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 = e0) & % 24.21/4.15 | | | ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 & $i(all_4_151)) | % 24.21/4.15 | | | ( ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ (all_4_152 = e0) % 24.21/4.15 | | | & ~ (all_4_152 = e1) & op(e2, e1) = all_4_152 & $i(all_4_152)) % 24.21/4.15 | | | | ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 = % 24.21/4.15 | | | e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 & % 24.21/4.15 | | | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & % 24.21/4.15 | | | ~ (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = % 24.21/4.15 | | | all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 = e3) & ~ % 24.21/4.15 | | | (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ (all_4_155 = e1) & % 24.21/4.15 | | | op(e1, e2) = all_4_155 & $i(all_4_155)) | ( ~ (all_4_156 = e3) % 24.21/4.15 | | | & ~ (all_4_156 = e2) & ~ (all_4_156 = e0) & ~ (all_4_156 = % 24.21/4.15 | | | e1) & op(e1, e0) = all_4_156 & $i(all_4_156)) | ( ~ % 24.21/4.15 | | | (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ (all_4_157 = e0) & % 24.21/4.15 | | | ~ (all_4_157 = e1) & op(e0, e3) = all_4_157 & $i(all_4_157)) | % 24.21/4.15 | | | ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ (all_4_158 = e0) % 24.21/4.15 | | | & ~ (all_4_158 = e1) & op(e0, e2) = all_4_158 & $i(all_4_158)) % 24.21/4.15 | | | | ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ (all_4_159 = % 24.21/4.15 | | | e0) & ~ (all_4_159 = e1) & op(e0, e1) = all_4_159 & % 24.21/4.15 | | | $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & % 24.21/4.15 | | | ~ (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) = % 24.21/4.15 | | | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e3) & ~ % 24.21/4.15 | | | (all_4_161 = e2) & ~ (all_4_161 = e0) & ~ (all_4_161 = e1) & % 24.21/4.15 | | | op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) % 24.21/4.15 | | | & ~ (all_4_162 = e2) & ~ (all_4_162 = e0) & ~ (all_4_162 = % 24.21/4.15 | | | e1) & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.21/4.15 | | | (all_4_163 = e3) & ~ (all_4_163 = e2) & ~ (all_4_163 = e0) & % 24.21/4.15 | | | ~ (all_4_163 = e1) & op(e0, e0) = all_4_163 & $i(all_4_163)) | % 24.21/4.15 | | | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = % 24.21/4.15 | | | e1)) | ((( ~ (all_4_160 = e3) & op(e3, e3) = all_4_160 & % 24.21/4.15 | | | $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) = % 24.21/4.15 | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) & op(e1, % 24.21/4.15 | | | e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e3) & % 24.21/4.15 | | | op(e0, e0) = all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 % 24.21/4.15 | | | = e2) & op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.21/4.15 | | | (all_4_161 = e2) & op(e2, e2) = all_4_161 & $i(all_4_161)) % 24.21/4.15 | | | | ( ~ (all_4_162 = e2) & op(e1, e1) = all_4_162 & % 24.21/4.15 | | | $i(all_4_162)) | ( ~ (all_4_163 = e2) & op(e0, e0) = % 24.21/4.15 | | | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e0) & % 24.21/4.15 | | | op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = % 24.21/4.15 | | | e0) & op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ % 24.21/4.15 | | | (all_4_162 = e0) & op(e1, e1) = all_4_162 & $i(all_4_162)) % 24.21/4.15 | | | | ( ~ (all_4_163 = e0) & op(e0, e0) = all_4_163 & % 24.21/4.15 | | | $i(all_4_163))) & (( ~ (all_4_160 = e1) & op(e3, e3) = % 24.21/4.15 | | | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e1) & op(e2, % 24.21/4.15 | | | e2) = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e1) & % 24.21/4.15 | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = % 24.21/4.15 | | | e1) & op(e0, e0) = all_4_163 & $i(all_4_163)))) % 24.21/4.15 | | | % 24.21/4.15 | | | BETA: splitting (975) gives: % 24.21/4.15 | | | % 24.21/4.15 | | | Case 1: % 24.21/4.15 | | | | % 24.21/4.16 | | | | (976) ( ~ (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 & % 24.21/4.16 | | | | op(e0, all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & % 24.21/4.16 | | | | op(e1, e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) & % 24.21/4.16 | | | | $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 = all_4_135) % 24.21/4.16 | | | | & op(all_4_159, e2) = all_4_135 & op(e0, all_4_155) = % 24.21/4.16 | | | | all_4_134 & op(e0, e1) = all_4_159 & op(e1, e2) = all_4_155 & % 24.21/4.16 | | | | $i(all_4_134) & $i(all_4_135) & $i(all_4_155) & % 24.21/4.16 | | | | $i(all_4_159)) | ( ~ (all_4_136 = all_4_137) & op(all_4_159, % 24.21/4.16 | | | | e1) = all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, % 24.21/4.16 | | | | e1) = all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) & % 24.21/4.16 | | | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) | ( ~ % 24.21/4.16 | | | | (all_4_138 = all_4_139) & op(all_4_159, e0) = all_4_139 & % 24.21/4.16 | | | | op(e0, all_4_156) = all_4_138 & op(e0, e1) = all_4_159 & % 24.21/4.16 | | | | op(e1, e0) = all_4_156 & $i(all_4_138) & $i(all_4_139) & % 24.21/4.16 | | | | $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_140 = all_4_141) % 24.21/4.16 | | | | & op(all_4_163, e3) = all_4_141 & op(e0, all_4_157) = % 24.21/4.16 | | | | all_4_140 & op(e0, e3) = all_4_157 & op(e0, e0) = all_4_163 & % 24.21/4.16 | | | | $i(all_4_140) & $i(all_4_141) & $i(all_4_157) & % 24.21/4.16 | | | | $i(all_4_163)) | ( ~ (all_4_142 = all_4_143) & op(all_4_163, % 24.21/4.16 | | | | e2) = all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, % 24.21/4.16 | | | | e2) = all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) & % 24.21/4.16 | | | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) | ( ~ % 24.21/4.16 | | | | (all_4_144 = all_4_145) & op(all_4_163, e1) = all_4_145 & % 24.21/4.16 | | | | op(e0, all_4_159) = all_4_144 & op(e0, e0) = all_4_163 & % 24.21/4.16 | | | | op(e0, e1) = all_4_159 & $i(all_4_144) & $i(all_4_145) & % 24.21/4.16 | | | | $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 = all_4_147) % 24.21/4.16 | | | | & op(all_4_163, e0) = all_4_147 & op(e0, all_4_163) = % 24.21/4.16 | | | | all_4_146 & op(e0, e0) = all_4_163 & $i(all_4_146) & % 24.21/4.16 | | | | $i(all_4_147) & $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ % 24.21/4.16 | | | | (all_4_148 = e2) & ~ (all_4_148 = e0) & ~ (all_4_148 = e1) % 24.21/4.16 | | | | & op(e3, e2) = all_4_148 & $i(all_4_148)) | ( ~ (all_4_149 = % 24.21/4.16 | | | | e3) & ~ (all_4_149 = e2) & ~ (all_4_149 = e0) & ~ % 24.21/4.16 | | | | (all_4_149 = e1) & op(e3, e1) = all_4_149 & $i(all_4_149)) | % 24.21/4.16 | | | | ( ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ (all_4_150 = % 24.21/4.16 | | | | e0) & ~ (all_4_150 = e1) & op(e3, e0) = all_4_150 & % 24.21/4.16 | | | | $i(all_4_150)) | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & % 24.21/4.16 | | | | ~ (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) = % 24.21/4.16 | | | | all_4_151 & $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ % 24.21/4.16 | | | | (all_4_152 = e2) & ~ (all_4_152 = e0) & ~ (all_4_152 = e1) % 24.21/4.16 | | | | & op(e2, e1) = all_4_152 & $i(all_4_152)) % 24.21/4.16 | | | | % 24.21/4.16 | | | | BETA: splitting (976) gives: % 24.21/4.16 | | | | % 24.21/4.16 | | | | Case 1: % 24.21/4.16 | | | | | % 24.21/4.16 | | | | | (977) ( ~ (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 & % 24.21/4.16 | | | | | op(e0, all_4_154) = all_4_132 & op(e0, e1) = all_4_159 & % 24.21/4.16 | | | | | op(e1, e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) & % 24.21/4.16 | | | | | $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 = % 24.21/4.16 | | | | | all_4_135) & op(all_4_159, e2) = all_4_135 & op(e0, % 24.21/4.16 | | | | | all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & op(e1, % 24.21/4.16 | | | | | e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) & % 24.21/4.16 | | | | | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 = % 24.21/4.16 | | | | | all_4_137) & op(all_4_159, e1) = all_4_137 & op(e0, % 24.21/4.16 | | | | | all_4_162) = all_4_136 & op(e0, e1) = all_4_159 & op(e1, % 24.21/4.16 | | | | | e1) = all_4_162 & $i(all_4_136) & $i(all_4_137) & % 24.21/4.16 | | | | | $i(all_4_159) & $i(all_4_162)) | ( ~ (all_4_138 = % 24.21/4.16 | | | | | all_4_139) & op(all_4_159, e0) = all_4_139 & op(e0, % 24.21/4.16 | | | | | all_4_156) = all_4_138 & op(e0, e1) = all_4_159 & op(e1, % 24.21/4.16 | | | | | e0) = all_4_156 & $i(all_4_138) & $i(all_4_139) & % 24.21/4.16 | | | | | $i(all_4_156) & $i(all_4_159)) | ( ~ (all_4_140 = % 24.21/4.16 | | | | | all_4_141) & op(all_4_163, e3) = all_4_141 & op(e0, % 24.21/4.16 | | | | | all_4_157) = all_4_140 & op(e0, e3) = all_4_157 & op(e0, % 24.21/4.16 | | | | | e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) & % 24.21/4.16 | | | | | $i(all_4_157) & $i(all_4_163)) | ( ~ (all_4_142 = % 24.21/4.16 | | | | | all_4_143) & op(all_4_163, e2) = all_4_143 & op(e0, % 24.21/4.16 | | | | | all_4_158) = all_4_142 & op(e0, e2) = all_4_158 & op(e0, % 24.21/4.16 | | | | | e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) & % 24.21/4.16 | | | | | $i(all_4_158) & $i(all_4_163)) % 24.21/4.16 | | | | | % 24.21/4.16 | | | | | BETA: splitting (977) gives: % 24.21/4.16 | | | | | % 24.21/4.16 | | | | | Case 1: % 24.21/4.16 | | | | | | % 24.21/4.16 | | | | | | (978) ( ~ (all_4_132 = all_4_133) & op(all_4_159, e3) = all_4_133 % 24.21/4.16 | | | | | | & op(e0, all_4_154) = all_4_132 & op(e0, e1) = all_4_159 % 24.21/4.16 | | | | | | & op(e1, e3) = all_4_154 & $i(all_4_132) & $i(all_4_133) % 24.21/4.16 | | | | | | & $i(all_4_154) & $i(all_4_159)) | ( ~ (all_4_134 = % 24.21/4.16 | | | | | | all_4_135) & op(all_4_159, e2) = all_4_135 & op(e0, % 24.21/4.16 | | | | | | all_4_155) = all_4_134 & op(e0, e1) = all_4_159 & % 24.21/4.16 | | | | | | op(e1, e2) = all_4_155 & $i(all_4_134) & $i(all_4_135) & % 24.21/4.16 | | | | | | $i(all_4_155) & $i(all_4_159)) | ( ~ (all_4_136 = % 24.21/4.16 | | | | | | all_4_137) & op(all_4_159, e1) = all_4_137 & op(e0, % 24.21/4.16 | | | | | | all_4_162) = all_4_136 & op(e0, e1) = all_4_159 & % 24.21/4.16 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_136) & $i(all_4_137) & % 24.21/4.16 | | | | | | $i(all_4_159) & $i(all_4_162)) % 24.21/4.16 | | | | | | % 24.21/4.16 | | | | | | BETA: splitting (978) gives: % 24.21/4.16 | | | | | | % 24.21/4.16 | | | | | | Case 1: % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | (979) ~ (all_4_132 = all_4_133) & op(all_4_159, e3) = % 24.21/4.16 | | | | | | | all_4_133 & op(e0, all_4_154) = all_4_132 & op(e0, e1) = % 24.21/4.16 | | | | | | | all_4_159 & op(e1, e3) = all_4_154 & $i(all_4_132) & % 24.21/4.16 | | | | | | | $i(all_4_133) & $i(all_4_154) & $i(all_4_159) % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | ALPHA: (979) implies: % 24.21/4.16 | | | | | | | (980) ~ (all_4_132 = all_4_133) % 24.21/4.16 | | | | | | | (981) op(e1, e3) = all_4_154 % 24.21/4.16 | | | | | | | (982) op(e0, e1) = all_4_159 % 24.21/4.16 | | | | | | | (983) op(e0, all_4_154) = all_4_132 % 24.21/4.16 | | | | | | | (984) op(all_4_159, e3) = all_4_133 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 24.21/4.16 | | | | | | | simplifying with (4), (981) gives: % 24.21/4.16 | | | | | | | (985) all_4_154 = e2 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.21/4.16 | | | | | | | simplifying with (5), (982) gives: % 24.21/4.16 | | | | | | | (986) all_4_159 = e1 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | REDUCE: (984), (986) imply: % 24.21/4.16 | | | | | | | (987) op(e1, e3) = all_4_133 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | REDUCE: (983), (985) imply: % 24.21/4.16 | | | | | | | (988) op(e0, e2) = all_4_132 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_133, e3, e1, % 24.21/4.16 | | | | | | | simplifying with (4), (987) gives: % 24.21/4.16 | | | | | | | (989) all_4_133 = e2 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_132, e2, e0, % 24.21/4.16 | | | | | | | simplifying with (7), (988) gives: % 24.21/4.16 | | | | | | | (990) all_4_132 = e2 % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | REDUCE: (980), (989), (990) imply: % 24.21/4.16 | | | | | | | (991) $false % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | CLOSE: (991) is inconsistent. % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | Case 2: % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | (992) ( ~ (all_4_134 = all_4_135) & op(all_4_159, e2) = % 24.21/4.16 | | | | | | | all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0, e1) % 24.21/4.16 | | | | | | | = all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) & % 24.21/4.16 | | | | | | | $i(all_4_135) & $i(all_4_155) & $i(all_4_159)) | ( ~ % 24.21/4.16 | | | | | | | (all_4_136 = all_4_137) & op(all_4_159, e1) = all_4_137 % 24.21/4.16 | | | | | | | & op(e0, all_4_162) = all_4_136 & op(e0, e1) = % 24.21/4.16 | | | | | | | all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) & % 24.21/4.16 | | | | | | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162)) % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | BETA: splitting (992) gives: % 24.21/4.16 | | | | | | | % 24.21/4.16 | | | | | | | Case 1: % 24.21/4.16 | | | | | | | | % 24.21/4.16 | | | | | | | | (993) ~ (all_4_134 = all_4_135) & op(all_4_159, e2) = % 24.21/4.16 | | | | | | | | all_4_135 & op(e0, all_4_155) = all_4_134 & op(e0, e1) % 24.21/4.16 | | | | | | | | = all_4_159 & op(e1, e2) = all_4_155 & $i(all_4_134) & % 24.21/4.16 | | | | | | | | $i(all_4_135) & $i(all_4_155) & $i(all_4_159) % 24.21/4.16 | | | | | | | | % 24.21/4.16 | | | | | | | | ALPHA: (993) implies: % 24.21/4.16 | | | | | | | | (994) ~ (all_4_134 = all_4_135) % 24.21/4.16 | | | | | | | | (995) op(e1, e2) = all_4_155 % 24.21/4.16 | | | | | | | | (996) op(e0, e1) = all_4_159 % 24.21/4.16 | | | | | | | | (997) op(e0, all_4_155) = all_4_134 % 24.21/4.16 | | | | | | | | (998) op(all_4_159, e2) = all_4_135 % 24.21/4.16 | | | | | | | | % 24.21/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 24.21/4.16 | | | | | | | | simplifying with (3), (995) gives: % 24.29/4.16 | | | | | | | | (999) all_4_155 = e3 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.29/4.16 | | | | | | | | simplifying with (5), (996) gives: % 24.29/4.16 | | | | | | | | (1000) all_4_159 = e1 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (998), (1000) imply: % 24.29/4.16 | | | | | | | | (1001) op(e1, e2) = all_4_135 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (997), (999) imply: % 24.29/4.16 | | | | | | | | (1002) op(e0, e3) = all_4_134 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_135, e2, e1, % 24.29/4.16 | | | | | | | | simplifying with (3), (1001) gives: % 24.29/4.16 | | | | | | | | (1003) all_4_135 = e3 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_134, e3, e0, % 24.29/4.16 | | | | | | | | simplifying with (8), (1002) gives: % 24.29/4.16 | | | | | | | | (1004) all_4_134 = e3 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (994), (1003), (1004) imply: % 24.29/4.16 | | | | | | | | (1005) $false % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | CLOSE: (1005) is inconsistent. % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | Case 2: % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | (1006) ~ (all_4_136 = all_4_137) & op(all_4_159, e1) = % 24.29/4.16 | | | | | | | | all_4_137 & op(e0, all_4_162) = all_4_136 & op(e0, e1) % 24.29/4.16 | | | | | | | | = all_4_159 & op(e1, e1) = all_4_162 & $i(all_4_136) & % 24.29/4.16 | | | | | | | | $i(all_4_137) & $i(all_4_159) & $i(all_4_162) % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | ALPHA: (1006) implies: % 24.29/4.16 | | | | | | | | (1007) ~ (all_4_136 = all_4_137) % 24.29/4.16 | | | | | | | | (1008) op(e1, e1) = all_4_162 % 24.29/4.16 | | | | | | | | (1009) op(e0, e1) = all_4_159 % 24.29/4.16 | | | | | | | | (1010) op(e0, all_4_162) = all_4_136 % 24.29/4.16 | | | | | | | | (1011) op(all_4_159, e1) = all_4_137 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 24.29/4.16 | | | | | | | | simplifying with (1), (1008) gives: % 24.29/4.16 | | | | | | | | (1012) all_4_162 = e0 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.29/4.16 | | | | | | | | simplifying with (5), (1009) gives: % 24.29/4.16 | | | | | | | | (1013) all_4_159 = e1 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (1011), (1013) imply: % 24.29/4.16 | | | | | | | | (1014) op(e1, e1) = all_4_137 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (1010), (1012) imply: % 24.29/4.16 | | | | | | | | (1015) op(e0, e0) = all_4_136 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_137, e1, e1, % 24.29/4.16 | | | | | | | | simplifying with (1), (1014) gives: % 24.29/4.16 | | | | | | | | (1016) all_4_137 = e0 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_136, e0, e0, % 24.29/4.16 | | | | | | | | simplifying with (6), (1015) gives: % 24.29/4.16 | | | | | | | | (1017) all_4_136 = e0 % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | REDUCE: (1007), (1016), (1017) imply: % 24.29/4.16 | | | | | | | | (1018) $false % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | | CLOSE: (1018) is inconsistent. % 24.29/4.16 | | | | | | | | % 24.29/4.16 | | | | | | | End of split % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | End of split % 24.29/4.16 | | | | | | % 24.29/4.16 | | | | | Case 2: % 24.29/4.16 | | | | | | % 24.29/4.16 | | | | | | (1019) ( ~ (all_4_138 = all_4_139) & op(all_4_159, e0) = % 24.29/4.16 | | | | | | all_4_139 & op(e0, all_4_156) = all_4_138 & op(e0, e1) = % 24.29/4.16 | | | | | | all_4_159 & op(e1, e0) = all_4_156 & $i(all_4_138) & % 24.29/4.16 | | | | | | $i(all_4_139) & $i(all_4_156) & $i(all_4_159)) | ( ~ % 24.29/4.16 | | | | | | (all_4_140 = all_4_141) & op(all_4_163, e3) = all_4_141 % 24.29/4.16 | | | | | | & op(e0, all_4_157) = all_4_140 & op(e0, e3) = all_4_157 % 24.29/4.16 | | | | | | & op(e0, e0) = all_4_163 & $i(all_4_140) & $i(all_4_141) % 24.29/4.16 | | | | | | & $i(all_4_157) & $i(all_4_163)) | ( ~ (all_4_142 = % 24.29/4.16 | | | | | | all_4_143) & op(all_4_163, e2) = all_4_143 & op(e0, % 24.29/4.16 | | | | | | all_4_158) = all_4_142 & op(e0, e2) = all_4_158 & % 24.29/4.16 | | | | | | op(e0, e0) = all_4_163 & $i(all_4_142) & $i(all_4_143) & % 24.29/4.16 | | | | | | $i(all_4_158) & $i(all_4_163)) % 24.29/4.16 | | | | | | % 24.29/4.16 | | | | | | BETA: splitting (1019) gives: % 24.29/4.16 | | | | | | % 24.29/4.16 | | | | | | Case 1: % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | (1020) ~ (all_4_138 = all_4_139) & op(all_4_159, e0) = % 24.29/4.16 | | | | | | | all_4_139 & op(e0, all_4_156) = all_4_138 & op(e0, e1) = % 24.29/4.16 | | | | | | | all_4_159 & op(e1, e0) = all_4_156 & $i(all_4_138) & % 24.29/4.16 | | | | | | | $i(all_4_139) & $i(all_4_156) & $i(all_4_159) % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | ALPHA: (1020) implies: % 24.29/4.16 | | | | | | | (1021) ~ (all_4_138 = all_4_139) % 24.29/4.16 | | | | | | | (1022) op(e1, e0) = all_4_156 % 24.29/4.16 | | | | | | | (1023) op(e0, e1) = all_4_159 % 24.29/4.16 | | | | | | | (1024) op(e0, all_4_156) = all_4_138 % 24.29/4.16 | | | | | | | (1025) op(all_4_159, e0) = all_4_139 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 24.29/4.16 | | | | | | | simplifying with (2), (1022) gives: % 24.29/4.16 | | | | | | | (1026) all_4_156 = e1 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.29/4.16 | | | | | | | simplifying with (5), (1023) gives: % 24.29/4.16 | | | | | | | (1027) all_4_159 = e1 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | REDUCE: (1025), (1027) imply: % 24.29/4.16 | | | | | | | (1028) op(e1, e0) = all_4_139 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | REDUCE: (1024), (1026) imply: % 24.29/4.16 | | | | | | | (1029) op(e0, e1) = all_4_138 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_139, e0, e1, % 24.29/4.16 | | | | | | | simplifying with (2), (1028) gives: % 24.29/4.16 | | | | | | | (1030) all_4_139 = e1 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_138, e1, e0, % 24.29/4.16 | | | | | | | simplifying with (5), (1029) gives: % 24.29/4.16 | | | | | | | (1031) all_4_138 = e1 % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | REDUCE: (1021), (1030), (1031) imply: % 24.29/4.16 | | | | | | | (1032) $false % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | | CLOSE: (1032) is inconsistent. % 24.29/4.16 | | | | | | | % 24.29/4.16 | | | | | | Case 2: % 24.29/4.16 | | | | | | | % 24.29/4.17 | | | | | | | (1033) ( ~ (all_4_140 = all_4_141) & op(all_4_163, e3) = % 24.29/4.17 | | | | | | | all_4_141 & op(e0, all_4_157) = all_4_140 & op(e0, e3) % 24.29/4.17 | | | | | | | = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140) & % 24.29/4.17 | | | | | | | $i(all_4_141) & $i(all_4_157) & $i(all_4_163)) | ( ~ % 24.29/4.17 | | | | | | | (all_4_142 = all_4_143) & op(all_4_163, e2) = % 24.29/4.17 | | | | | | | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) % 24.29/4.17 | | | | | | | = all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) & % 24.29/4.17 | | | | | | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163)) % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | BETA: splitting (1033) gives: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | Case 1: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1034) ~ (all_4_140 = all_4_141) & op(all_4_163, e3) = % 24.29/4.17 | | | | | | | | all_4_141 & op(e0, all_4_157) = all_4_140 & op(e0, e3) % 24.29/4.17 | | | | | | | | = all_4_157 & op(e0, e0) = all_4_163 & $i(all_4_140) & % 24.29/4.17 | | | | | | | | $i(all_4_141) & $i(all_4_157) & $i(all_4_163) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1034) implies: % 24.29/4.17 | | | | | | | | (1035) ~ (all_4_140 = all_4_141) % 24.29/4.17 | | | | | | | | (1036) op(e0, e0) = all_4_163 % 24.29/4.17 | | | | | | | | (1037) op(e0, e3) = all_4_157 % 24.29/4.17 | | | | | | | | (1038) op(e0, all_4_157) = all_4_140 % 24.29/4.17 | | | | | | | | (1039) op(all_4_163, e3) = all_4_141 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.17 | | | | | | | | simplifying with (6), (1036) gives: % 24.29/4.17 | | | | | | | | (1040) all_4_163 = e0 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 24.29/4.17 | | | | | | | | simplifying with (8), (1037) gives: % 24.29/4.17 | | | | | | | | (1041) all_4_157 = e3 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1039), (1040) imply: % 24.29/4.17 | | | | | | | | (1042) op(e0, e3) = all_4_141 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1038), (1041) imply: % 24.29/4.17 | | | | | | | | (1043) op(e0, e3) = all_4_140 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_140, e3, e0, % 24.29/4.17 | | | | | | | | simplifying with (8), (1043) gives: % 24.29/4.17 | | | | | | | | (1044) all_4_140 = e3 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with all_4_141, all_4_140, e3, % 24.29/4.17 | | | | | | | | e0, simplifying with (1042), (1043) gives: % 24.29/4.17 | | | | | | | | (1045) all_4_140 = all_4_141 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | COMBINE_EQS: (1044), (1045) imply: % 24.29/4.17 | | | | | | | | (1046) all_4_141 = e3 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1035), (1044), (1046) imply: % 24.29/4.17 | | | | | | | | (1047) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1047) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | Case 2: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1048) ~ (all_4_142 = all_4_143) & op(all_4_163, e2) = % 24.29/4.17 | | | | | | | | all_4_143 & op(e0, all_4_158) = all_4_142 & op(e0, e2) % 24.29/4.17 | | | | | | | | = all_4_158 & op(e0, e0) = all_4_163 & $i(all_4_142) & % 24.29/4.17 | | | | | | | | $i(all_4_143) & $i(all_4_158) & $i(all_4_163) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1048) implies: % 24.29/4.17 | | | | | | | | (1049) ~ (all_4_142 = all_4_143) % 24.29/4.17 | | | | | | | | (1050) op(e0, e0) = all_4_163 % 24.29/4.17 | | | | | | | | (1051) op(e0, e2) = all_4_158 % 24.29/4.17 | | | | | | | | (1052) op(e0, all_4_158) = all_4_142 % 24.29/4.17 | | | | | | | | (1053) op(all_4_163, e2) = all_4_143 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.17 | | | | | | | | simplifying with (6), (1050) gives: % 24.29/4.17 | | | | | | | | (1054) all_4_163 = e0 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.29/4.17 | | | | | | | | simplifying with (7), (1051) gives: % 24.29/4.17 | | | | | | | | (1055) all_4_158 = e2 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1053), (1054) imply: % 24.29/4.17 | | | | | | | | (1056) op(e0, e2) = all_4_143 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1052), (1055) imply: % 24.29/4.17 | | | | | | | | (1057) op(e0, e2) = all_4_142 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_142, e2, e0, % 24.29/4.17 | | | | | | | | simplifying with (7), (1057) gives: % 24.29/4.17 | | | | | | | | (1058) all_4_142 = e2 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with all_4_143, all_4_142, e2, % 24.29/4.17 | | | | | | | | e0, simplifying with (1056), (1057) gives: % 24.29/4.17 | | | | | | | | (1059) all_4_142 = all_4_143 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | COMBINE_EQS: (1058), (1059) imply: % 24.29/4.17 | | | | | | | | (1060) all_4_143 = e2 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1049), (1058), (1060) imply: % 24.29/4.17 | | | | | | | | (1061) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1061) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | End of split % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | End of split % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | End of split % 24.29/4.17 | | | | | % 24.29/4.17 | | | | Case 2: % 24.29/4.17 | | | | | % 24.29/4.17 | | | | | (1062) ( ~ (all_4_144 = all_4_145) & op(all_4_163, e1) = all_4_145 % 24.29/4.17 | | | | | & op(e0, all_4_159) = all_4_144 & op(e0, e0) = all_4_163 & % 24.29/4.17 | | | | | op(e0, e1) = all_4_159 & $i(all_4_144) & $i(all_4_145) & % 24.29/4.17 | | | | | $i(all_4_159) & $i(all_4_163)) | ( ~ (all_4_146 = % 24.29/4.17 | | | | | all_4_147) & op(all_4_163, e0) = all_4_147 & op(e0, % 24.29/4.17 | | | | | all_4_163) = all_4_146 & op(e0, e0) = all_4_163 & % 24.29/4.17 | | | | | $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~ % 24.29/4.17 | | | | | (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ (all_4_148 = % 24.29/4.17 | | | | | e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 & % 24.29/4.17 | | | | | $i(all_4_148)) | ( ~ (all_4_149 = e3) & ~ (all_4_149 = % 24.29/4.17 | | | | | e2) & ~ (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, % 24.29/4.17 | | | | | e1) = all_4_149 & $i(all_4_149)) | ( ~ (all_4_150 = e3) % 24.29/4.17 | | | | | & ~ (all_4_150 = e2) & ~ (all_4_150 = e0) & ~ % 24.29/4.17 | | | | | (all_4_150 = e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) % 24.29/4.17 | | | | | | ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 % 24.29/4.17 | | | | | = e0) & ~ (all_4_151 = e1) & op(e2, e3) = all_4_151 & % 24.29/4.17 | | | | | $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ (all_4_152 = % 24.29/4.17 | | | | | e2) & ~ (all_4_152 = e0) & ~ (all_4_152 = e1) & op(e2, % 24.29/4.17 | | | | | e1) = all_4_152 & $i(all_4_152)) % 24.29/4.17 | | | | | % 24.29/4.17 | | | | | BETA: splitting (1062) gives: % 24.29/4.17 | | | | | % 24.29/4.17 | | | | | Case 1: % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | (1063) ( ~ (all_4_144 = all_4_145) & op(all_4_163, e1) = % 24.29/4.17 | | | | | | all_4_145 & op(e0, all_4_159) = all_4_144 & op(e0, e0) = % 24.29/4.17 | | | | | | all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) & % 24.29/4.17 | | | | | | $i(all_4_145) & $i(all_4_159) & $i(all_4_163)) | ( ~ % 24.29/4.17 | | | | | | (all_4_146 = all_4_147) & op(all_4_163, e0) = all_4_147 % 24.29/4.17 | | | | | | & op(e0, all_4_163) = all_4_146 & op(e0, e0) = all_4_163 % 24.29/4.17 | | | | | | & $i(all_4_146) & $i(all_4_147) & $i(all_4_163)) | ( ~ % 24.29/4.17 | | | | | | (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ (all_4_148 = % 24.29/4.17 | | | | | | e0) & ~ (all_4_148 = e1) & op(e3, e2) = all_4_148 & % 24.29/4.17 | | | | | | $i(all_4_148)) % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | BETA: splitting (1063) gives: % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | Case 1: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | (1064) ~ (all_4_144 = all_4_145) & op(all_4_163, e1) = % 24.29/4.17 | | | | | | | all_4_145 & op(e0, all_4_159) = all_4_144 & op(e0, e0) = % 24.29/4.17 | | | | | | | all_4_163 & op(e0, e1) = all_4_159 & $i(all_4_144) & % 24.29/4.17 | | | | | | | $i(all_4_145) & $i(all_4_159) & $i(all_4_163) % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | ALPHA: (1064) implies: % 24.29/4.17 | | | | | | | (1065) ~ (all_4_144 = all_4_145) % 24.29/4.17 | | | | | | | (1066) op(e0, e1) = all_4_159 % 24.29/4.17 | | | | | | | (1067) op(e0, e0) = all_4_163 % 24.29/4.17 | | | | | | | (1068) op(e0, all_4_159) = all_4_144 % 24.29/4.17 | | | | | | | (1069) op(all_4_163, e1) = all_4_145 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.29/4.17 | | | | | | | simplifying with (5), (1066) gives: % 24.29/4.17 | | | | | | | (1070) all_4_159 = e1 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.17 | | | | | | | simplifying with (6), (1067) gives: % 24.29/4.17 | | | | | | | (1071) all_4_163 = e0 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | REDUCE: (1069), (1071) imply: % 24.29/4.17 | | | | | | | (1072) op(e0, e1) = all_4_145 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | REDUCE: (1068), (1070) imply: % 24.29/4.17 | | | | | | | (1073) op(e0, e1) = all_4_144 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_144, e1, e0, % 24.29/4.17 | | | | | | | simplifying with (5), (1073) gives: % 24.29/4.17 | | | | | | | (1074) all_4_144 = e1 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | GROUND_INST: instantiating (24) with all_4_145, all_4_144, e1, e0, % 24.29/4.17 | | | | | | | simplifying with (1072), (1073) gives: % 24.29/4.17 | | | | | | | (1075) all_4_144 = all_4_145 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | COMBINE_EQS: (1074), (1075) imply: % 24.29/4.17 | | | | | | | (1076) all_4_145 = e1 % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | REDUCE: (1065), (1074), (1076) imply: % 24.29/4.17 | | | | | | | (1077) $false % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | CLOSE: (1077) is inconsistent. % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | Case 2: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | (1078) ( ~ (all_4_146 = all_4_147) & op(all_4_163, e0) = % 24.29/4.17 | | | | | | | all_4_147 & op(e0, all_4_163) = all_4_146 & op(e0, e0) % 24.29/4.17 | | | | | | | = all_4_163 & $i(all_4_146) & $i(all_4_147) & % 24.29/4.17 | | | | | | | $i(all_4_163)) | ( ~ (all_4_148 = e3) & ~ (all_4_148 % 24.29/4.17 | | | | | | | = e2) & ~ (all_4_148 = e0) & ~ (all_4_148 = e1) & % 24.29/4.17 | | | | | | | op(e3, e2) = all_4_148 & $i(all_4_148)) % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | BETA: splitting (1078) gives: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | Case 1: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1079) ~ (all_4_146 = all_4_147) & op(all_4_163, e0) = % 24.29/4.17 | | | | | | | | all_4_147 & op(e0, all_4_163) = all_4_146 & op(e0, e0) % 24.29/4.17 | | | | | | | | = all_4_163 & $i(all_4_146) & $i(all_4_147) & % 24.29/4.17 | | | | | | | | $i(all_4_163) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1079) implies: % 24.29/4.17 | | | | | | | | (1080) ~ (all_4_146 = all_4_147) % 24.29/4.17 | | | | | | | | (1081) op(e0, e0) = all_4_163 % 24.29/4.17 | | | | | | | | (1082) op(e0, all_4_163) = all_4_146 % 24.29/4.17 | | | | | | | | (1083) op(all_4_163, e0) = all_4_147 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.17 | | | | | | | | simplifying with (6), (1081) gives: % 24.29/4.17 | | | | | | | | (1084) all_4_163 = e0 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1083), (1084) imply: % 24.29/4.17 | | | | | | | | (1085) op(e0, e0) = all_4_147 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1082), (1084) imply: % 24.29/4.17 | | | | | | | | (1086) op(e0, e0) = all_4_146 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_146, e0, e0, % 24.29/4.17 | | | | | | | | simplifying with (6), (1086) gives: % 24.29/4.17 | | | | | | | | (1087) all_4_146 = e0 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with all_4_147, all_4_146, e0, % 24.29/4.17 | | | | | | | | e0, simplifying with (1085), (1086) gives: % 24.29/4.17 | | | | | | | | (1088) all_4_146 = all_4_147 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | COMBINE_EQS: (1087), (1088) imply: % 24.29/4.17 | | | | | | | | (1089) all_4_147 = e0 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1080), (1087), (1089) imply: % 24.29/4.17 | | | | | | | | (1090) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1090) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | Case 2: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1091) ~ (all_4_148 = e3) & ~ (all_4_148 = e2) & ~ % 24.29/4.17 | | | | | | | | (all_4_148 = e0) & ~ (all_4_148 = e1) & op(e3, e2) = % 24.29/4.17 | | | | | | | | all_4_148 & $i(all_4_148) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1091) implies: % 24.29/4.17 | | | | | | | | (1092) ~ (all_4_148 = e1) % 24.29/4.17 | | | | | | | | (1093) op(e3, e2) = all_4_148 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_148, e2, e3, % 24.29/4.17 | | | | | | | | simplifying with (15), (1093) gives: % 24.29/4.17 | | | | | | | | (1094) all_4_148 = e1 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1092), (1094) imply: % 24.29/4.17 | | | | | | | | (1095) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1095) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | End of split % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | End of split % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | Case 2: % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | (1096) ( ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ (all_4_149 % 24.29/4.17 | | | | | | = e0) & ~ (all_4_149 = e1) & op(e3, e1) = all_4_149 & % 24.29/4.17 | | | | | | $i(all_4_149)) | ( ~ (all_4_150 = e3) & ~ (all_4_150 = % 24.29/4.17 | | | | | | e2) & ~ (all_4_150 = e0) & ~ (all_4_150 = e1) & % 24.29/4.17 | | | | | | op(e3, e0) = all_4_150 & $i(all_4_150)) | ( ~ (all_4_151 % 24.29/4.17 | | | | | | = e3) & ~ (all_4_151 = e2) & ~ (all_4_151 = e0) & ~ % 24.29/4.17 | | | | | | (all_4_151 = e1) & op(e2, e3) = all_4_151 & % 24.29/4.17 | | | | | | $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ (all_4_152 = % 24.29/4.17 | | | | | | e2) & ~ (all_4_152 = e0) & ~ (all_4_152 = e1) & % 24.29/4.17 | | | | | | op(e2, e1) = all_4_152 & $i(all_4_152)) % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | BETA: splitting (1096) gives: % 24.29/4.17 | | | | | | % 24.29/4.17 | | | | | | Case 1: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | (1097) ( ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ % 24.29/4.17 | | | | | | | (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, e1) = % 24.29/4.17 | | | | | | | all_4_149 & $i(all_4_149)) | ( ~ (all_4_150 = e3) & ~ % 24.29/4.17 | | | | | | | (all_4_150 = e2) & ~ (all_4_150 = e0) & ~ (all_4_150 % 24.29/4.17 | | | | | | | = e1) & op(e3, e0) = all_4_150 & $i(all_4_150)) % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | BETA: splitting (1097) gives: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | Case 1: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1098) ~ (all_4_149 = e3) & ~ (all_4_149 = e2) & ~ % 24.29/4.17 | | | | | | | | (all_4_149 = e0) & ~ (all_4_149 = e1) & op(e3, e1) = % 24.29/4.17 | | | | | | | | all_4_149 & $i(all_4_149) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1098) implies: % 24.29/4.17 | | | | | | | | (1099) ~ (all_4_149 = e2) % 24.29/4.17 | | | | | | | | (1100) op(e3, e1) = all_4_149 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_149, e1, e3, % 24.29/4.17 | | | | | | | | simplifying with (13), (1100) gives: % 24.29/4.17 | | | | | | | | (1101) all_4_149 = e2 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1099), (1101) imply: % 24.29/4.17 | | | | | | | | (1102) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1102) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | Case 2: % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | (1103) ~ (all_4_150 = e3) & ~ (all_4_150 = e2) & ~ % 24.29/4.17 | | | | | | | | (all_4_150 = e0) & ~ (all_4_150 = e1) & op(e3, e0) = % 24.29/4.17 | | | | | | | | all_4_150 & $i(all_4_150) % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | ALPHA: (1103) implies: % 24.29/4.17 | | | | | | | | (1104) ~ (all_4_150 = e3) % 24.29/4.17 | | | | | | | | (1105) op(e3, e0) = all_4_150 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_150, e0, e3, % 24.29/4.17 | | | | | | | | simplifying with (14), (1105) gives: % 24.29/4.17 | | | | | | | | (1106) all_4_150 = e3 % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | REDUCE: (1104), (1106) imply: % 24.29/4.17 | | | | | | | | (1107) $false % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | | CLOSE: (1107) is inconsistent. % 24.29/4.17 | | | | | | | | % 24.29/4.17 | | | | | | | End of split % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | Case 2: % 24.29/4.17 | | | | | | | % 24.29/4.17 | | | | | | | (1108) ( ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ % 24.29/4.17 | | | | | | | (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) = % 24.29/4.17 | | | | | | | all_4_151 & $i(all_4_151)) | ( ~ (all_4_152 = e3) & ~ % 24.29/4.18 | | | | | | | (all_4_152 = e2) & ~ (all_4_152 = e0) & ~ (all_4_152 % 24.29/4.18 | | | | | | | = e1) & op(e2, e1) = all_4_152 & $i(all_4_152)) % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | BETA: splitting (1108) gives: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | Case 1: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1109) ~ (all_4_151 = e3) & ~ (all_4_151 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_151 = e0) & ~ (all_4_151 = e1) & op(e2, e3) = % 24.29/4.18 | | | | | | | | all_4_151 & $i(all_4_151) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1109) implies: % 24.29/4.18 | | | | | | | | (1110) ~ (all_4_151 = e1) % 24.29/4.18 | | | | | | | | (1111) op(e2, e3) = all_4_151 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_151, e3, e2, % 24.29/4.18 | | | | | | | | simplifying with (12), (1111) gives: % 24.29/4.18 | | | | | | | | (1112) all_4_151 = e1 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1110), (1112) imply: % 24.29/4.18 | | | | | | | | (1113) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1113) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | Case 2: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1114) ~ (all_4_152 = e3) & ~ (all_4_152 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_152 = e0) & ~ (all_4_152 = e1) & op(e2, e1) = % 24.29/4.18 | | | | | | | | all_4_152 & $i(all_4_152) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1114) implies: % 24.29/4.18 | | | | | | | | (1115) ~ (all_4_152 = e3) % 24.29/4.18 | | | | | | | | (1116) op(e2, e1) = all_4_152 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_152, e1, e2, % 24.29/4.18 | | | | | | | | simplifying with (9), (1116) gives: % 24.29/4.18 | | | | | | | | (1117) all_4_152 = e3 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1115), (1117) imply: % 24.29/4.18 | | | | | | | | (1118) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1118) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | End of split % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | End of split % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | End of split % 24.29/4.18 | | | | | % 24.29/4.18 | | | | End of split % 24.29/4.18 | | | | % 24.29/4.18 | | | Case 2: % 24.29/4.18 | | | | % 24.29/4.18 | | | | (1119) ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 = % 24.29/4.18 | | | | e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 & % 24.29/4.18 | | | | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = e2) % 24.29/4.18 | | | | & ~ (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = % 24.29/4.18 | | | | all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 = e3) & ~ % 24.29/4.18 | | | | (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ (all_4_155 = e1) % 24.29/4.18 | | | | & op(e1, e2) = all_4_155 & $i(all_4_155)) | ( ~ (all_4_156 = % 24.29/4.18 | | | | e3) & ~ (all_4_156 = e2) & ~ (all_4_156 = e0) & ~ % 24.29/4.18 | | | | (all_4_156 = e1) & op(e1, e0) = all_4_156 & $i(all_4_156)) | % 24.29/4.18 | | | | ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ (all_4_157 = % 24.29/4.18 | | | | e0) & ~ (all_4_157 = e1) & op(e0, e3) = all_4_157 & % 24.29/4.18 | | | | $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~ (all_4_158 = e2) % 24.29/4.18 | | | | & ~ (all_4_158 = e0) & ~ (all_4_158 = e1) & op(e0, e2) = % 24.29/4.18 | | | | all_4_158 & $i(all_4_158)) | ( ~ (all_4_159 = e3) & ~ % 24.29/4.18 | | | | (all_4_159 = e2) & ~ (all_4_159 = e0) & ~ (all_4_159 = e1) % 24.29/4.18 | | | | & op(e0, e1) = all_4_159 & $i(all_4_159)) | ( ~ (all_4_160 = % 24.29/4.18 | | | | e3) & ~ (all_4_160 = e2) & ~ (all_4_160 = e0) & ~ % 24.29/4.18 | | | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & $i(all_4_160)) | % 24.29/4.18 | | | | ( ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ (all_4_161 = % 24.29/4.18 | | | | e0) & ~ (all_4_161 = e1) & op(e2, e2) = all_4_161 & % 24.29/4.18 | | | | $i(all_4_161)) | ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) % 24.29/4.18 | | | | & ~ (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) = % 24.29/4.18 | | | | all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e3) & ~ % 24.29/4.18 | | | | (all_4_163 = e2) & ~ (all_4_163 = e0) & ~ (all_4_163 = e1) % 24.29/4.18 | | | | & op(e0, e0) = all_4_163 & $i(all_4_163)) | ( ~ (unit = e3) % 24.29/4.18 | | | | & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | ((( ~ % 24.29/4.18 | | | | (all_4_160 = e3) & op(e3, e3) = all_4_160 & % 24.29/4.18 | | | | $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) = % 24.29/4.18 | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) & % 24.29/4.18 | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 % 24.29/4.18 | | | | = e3) & op(e0, e0) = all_4_163 & $i(all_4_163))) & (( % 24.29/4.18 | | | | ~ (all_4_160 = e2) & op(e3, e3) = all_4_160 & % 24.29/4.18 | | | | $i(all_4_160)) | ( ~ (all_4_161 = e2) & op(e2, e2) = % 24.29/4.18 | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e2) & % 24.29/4.18 | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 % 24.29/4.18 | | | | = e2) & op(e0, e0) = all_4_163 & $i(all_4_163))) & (( % 24.29/4.18 | | | | ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.18 | | | | $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) = % 24.29/4.18 | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e0) & % 24.29/4.18 | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 % 24.29/4.18 | | | | = e0) & op(e0, e0) = all_4_163 & $i(all_4_163))) & (( % 24.29/4.18 | | | | ~ (all_4_160 = e1) & op(e3, e3) = all_4_160 & % 24.29/4.18 | | | | $i(all_4_160)) | ( ~ (all_4_161 = e1) & op(e2, e2) = % 24.29/4.18 | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e1) & % 24.29/4.18 | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 % 24.29/4.18 | | | | = e1) & op(e0, e0) = all_4_163 & $i(all_4_163)))) % 24.29/4.18 | | | | % 24.29/4.18 | | | | BETA: splitting (1119) gives: % 24.29/4.18 | | | | % 24.29/4.18 | | | | Case 1: % 24.29/4.18 | | | | | % 24.29/4.18 | | | | | (1120) ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 = % 24.29/4.18 | | | | | e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 & % 24.29/4.18 | | | | | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = % 24.29/4.18 | | | | | e2) & ~ (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, % 24.29/4.18 | | | | | e3) = all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 = e3) % 24.29/4.18 | | | | | & ~ (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ % 24.29/4.18 | | | | | (all_4_155 = e1) & op(e1, e2) = all_4_155 & $i(all_4_155)) % 24.29/4.18 | | | | | | ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 % 24.29/4.18 | | | | | = e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 & % 24.29/4.18 | | | | | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = % 24.29/4.18 | | | | | e2) & ~ (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, % 24.29/4.18 | | | | | e3) = all_4_157 & $i(all_4_157)) | ( ~ (all_4_158 = e3) % 24.29/4.18 | | | | | & ~ (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ % 24.29/4.18 | | | | | (all_4_158 = e1) & op(e0, e2) = all_4_158 & $i(all_4_158)) % 24.29/4.18 | | | | | % 24.29/4.18 | | | | | BETA: splitting (1120) gives: % 24.29/4.18 | | | | | % 24.29/4.18 | | | | | Case 1: % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | (1121) ( ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ (all_4_153 % 24.29/4.18 | | | | | | = e0) & ~ (all_4_153 = e1) & op(e2, e0) = all_4_153 & % 24.29/4.18 | | | | | | $i(all_4_153)) | ( ~ (all_4_154 = e3) & ~ (all_4_154 = % 24.29/4.18 | | | | | | e2) & ~ (all_4_154 = e0) & ~ (all_4_154 = e1) & % 24.29/4.18 | | | | | | op(e1, e3) = all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 % 24.29/4.18 | | | | | | = e3) & ~ (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ % 24.29/4.18 | | | | | | (all_4_155 = e1) & op(e1, e2) = all_4_155 & % 24.29/4.18 | | | | | | $i(all_4_155)) % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | BETA: splitting (1121) gives: % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | Case 1: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | (1122) ~ (all_4_153 = e3) & ~ (all_4_153 = e2) & ~ % 24.29/4.18 | | | | | | | (all_4_153 = e0) & ~ (all_4_153 = e1) & op(e2, e0) = % 24.29/4.18 | | | | | | | all_4_153 & $i(all_4_153) % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | ALPHA: (1122) implies: % 24.29/4.18 | | | | | | | (1123) ~ (all_4_153 = e2) % 24.29/4.18 | | | | | | | (1124) op(e2, e0) = all_4_153 % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_153, e0, e2, % 24.29/4.18 | | | | | | | simplifying with (10), (1124) gives: % 24.29/4.18 | | | | | | | (1125) all_4_153 = e2 % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | REDUCE: (1123), (1125) imply: % 24.29/4.18 | | | | | | | (1126) $false % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | CLOSE: (1126) is inconsistent. % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | Case 2: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | (1127) ( ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ % 24.29/4.18 | | | | | | | (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = % 24.29/4.18 | | | | | | | all_4_154 & $i(all_4_154)) | ( ~ (all_4_155 = e3) & ~ % 24.29/4.18 | | | | | | | (all_4_155 = e2) & ~ (all_4_155 = e0) & ~ (all_4_155 % 24.29/4.18 | | | | | | | = e1) & op(e1, e2) = all_4_155 & $i(all_4_155)) % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | BETA: splitting (1127) gives: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | Case 1: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1128) ~ (all_4_154 = e3) & ~ (all_4_154 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_154 = e0) & ~ (all_4_154 = e1) & op(e1, e3) = % 24.29/4.18 | | | | | | | | all_4_154 & $i(all_4_154) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1128) implies: % 24.29/4.18 | | | | | | | | (1129) ~ (all_4_154 = e2) % 24.29/4.18 | | | | | | | | (1130) op(e1, e3) = all_4_154 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_154, e3, e1, % 24.29/4.18 | | | | | | | | simplifying with (4), (1130) gives: % 24.29/4.18 | | | | | | | | (1131) all_4_154 = e2 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1129), (1131) imply: % 24.29/4.18 | | | | | | | | (1132) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1132) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | Case 2: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1133) ~ (all_4_155 = e3) & ~ (all_4_155 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_155 = e0) & ~ (all_4_155 = e1) & op(e1, e2) = % 24.29/4.18 | | | | | | | | all_4_155 & $i(all_4_155) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1133) implies: % 24.29/4.18 | | | | | | | | (1134) ~ (all_4_155 = e3) % 24.29/4.18 | | | | | | | | (1135) op(e1, e2) = all_4_155 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_155, e2, e1, % 24.29/4.18 | | | | | | | | simplifying with (3), (1135) gives: % 24.29/4.18 | | | | | | | | (1136) all_4_155 = e3 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1134), (1136) imply: % 24.29/4.18 | | | | | | | | (1137) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1137) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | End of split % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | End of split % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | Case 2: % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | (1138) ( ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ (all_4_156 % 24.29/4.18 | | | | | | = e0) & ~ (all_4_156 = e1) & op(e1, e0) = all_4_156 & % 24.29/4.18 | | | | | | $i(all_4_156)) | ( ~ (all_4_157 = e3) & ~ (all_4_157 = % 24.29/4.18 | | | | | | e2) & ~ (all_4_157 = e0) & ~ (all_4_157 = e1) & % 24.29/4.18 | | | | | | op(e0, e3) = all_4_157 & $i(all_4_157)) | ( ~ (all_4_158 % 24.29/4.18 | | | | | | = e3) & ~ (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ % 24.29/4.18 | | | | | | (all_4_158 = e1) & op(e0, e2) = all_4_158 & % 24.29/4.18 | | | | | | $i(all_4_158)) % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | BETA: splitting (1138) gives: % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | | Case 1: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | (1139) ~ (all_4_156 = e3) & ~ (all_4_156 = e2) & ~ % 24.29/4.18 | | | | | | | (all_4_156 = e0) & ~ (all_4_156 = e1) & op(e1, e0) = % 24.29/4.18 | | | | | | | all_4_156 & $i(all_4_156) % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | ALPHA: (1139) implies: % 24.29/4.18 | | | | | | | (1140) ~ (all_4_156 = e1) % 24.29/4.18 | | | | | | | (1141) op(e1, e0) = all_4_156 % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_156, e0, e1, % 24.29/4.18 | | | | | | | simplifying with (2), (1141) gives: % 24.29/4.18 | | | | | | | (1142) all_4_156 = e1 % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | REDUCE: (1140), (1142) imply: % 24.29/4.18 | | | | | | | (1143) $false % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | CLOSE: (1143) is inconsistent. % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | Case 2: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | (1144) ( ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ % 24.29/4.18 | | | | | | | (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) = % 24.29/4.18 | | | | | | | all_4_157 & $i(all_4_157)) | ( ~ (all_4_158 = e3) & ~ % 24.29/4.18 | | | | | | | (all_4_158 = e2) & ~ (all_4_158 = e0) & ~ (all_4_158 % 24.29/4.18 | | | | | | | = e1) & op(e0, e2) = all_4_158 & $i(all_4_158)) % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | BETA: splitting (1144) gives: % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | | Case 1: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1145) ~ (all_4_157 = e3) & ~ (all_4_157 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_157 = e0) & ~ (all_4_157 = e1) & op(e0, e3) = % 24.29/4.18 | | | | | | | | all_4_157 & $i(all_4_157) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1145) implies: % 24.29/4.18 | | | | | | | | (1146) ~ (all_4_157 = e3) % 24.29/4.18 | | | | | | | | (1147) op(e0, e3) = all_4_157 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e3, all_4_157, e3, e0, % 24.29/4.18 | | | | | | | | simplifying with (8), (1147) gives: % 24.29/4.18 | | | | | | | | (1148) all_4_157 = e3 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1146), (1148) imply: % 24.29/4.18 | | | | | | | | (1149) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1149) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | Case 2: % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | (1150) ~ (all_4_158 = e3) & ~ (all_4_158 = e2) & ~ % 24.29/4.18 | | | | | | | | (all_4_158 = e0) & ~ (all_4_158 = e1) & op(e0, e2) = % 24.29/4.18 | | | | | | | | all_4_158 & $i(all_4_158) % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | ALPHA: (1150) implies: % 24.29/4.18 | | | | | | | | (1151) ~ (all_4_158 = e2) % 24.29/4.18 | | | | | | | | (1152) op(e0, e2) = all_4_158 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | GROUND_INST: instantiating (24) with e2, all_4_158, e2, e0, % 24.29/4.18 | | | | | | | | simplifying with (7), (1152) gives: % 24.29/4.18 | | | | | | | | (1153) all_4_158 = e2 % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | REDUCE: (1151), (1153) imply: % 24.29/4.18 | | | | | | | | (1154) $false % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | | CLOSE: (1154) is inconsistent. % 24.29/4.18 | | | | | | | | % 24.29/4.18 | | | | | | | End of split % 24.29/4.18 | | | | | | | % 24.29/4.18 | | | | | | End of split % 24.29/4.18 | | | | | | % 24.29/4.18 | | | | | End of split % 24.29/4.18 | | | | | % 24.29/4.18 | | | | Case 2: % 24.29/4.18 | | | | | % 24.29/4.18 | | | | | (1155) ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ (all_4_159 = % 24.29/4.18 | | | | | e0) & ~ (all_4_159 = e1) & op(e0, e1) = all_4_159 & % 24.29/4.18 | | | | | $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~ (all_4_160 = % 24.29/4.18 | | | | | e2) & ~ (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, % 24.29/4.18 | | | | | e3) = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e3) % 24.29/4.18 | | | | | & ~ (all_4_161 = e2) & ~ (all_4_161 = e0) & ~ % 24.29/4.18 | | | | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & $i(all_4_161)) % 24.29/4.18 | | | | | | ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ (all_4_162 % 24.29/4.18 | | | | | = e0) & ~ (all_4_162 = e1) & op(e1, e1) = all_4_162 & % 24.29/4.18 | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e3) & ~ (all_4_163 = % 24.29/4.18 | | | | | e2) & ~ (all_4_163 = e0) & ~ (all_4_163 = e1) & op(e0, % 24.29/4.18 | | | | | e0) = all_4_163 & $i(all_4_163)) | ( ~ (unit = e3) & ~ % 24.29/4.18 | | | | | (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | ((( ~ % 24.29/4.18 | | | | | (all_4_160 = e3) & op(e3, e3) = all_4_160 & % 24.29/4.18 | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) = % 24.29/4.18 | | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) & % 24.29/4.18 | | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.29/4.18 | | | | | (all_4_163 = e3) & op(e0, e0) = all_4_163 & % 24.29/4.18 | | | | | $i(all_4_163))) & (( ~ (all_4_160 = e2) & op(e3, e3) = % 24.29/4.18 | | | | | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e2) & % 24.29/4.18 | | | | | op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ % 24.29/4.18 | | | | | (all_4_162 = e2) & op(e1, e1) = all_4_162 & % 24.29/4.18 | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e2) & op(e0, e0) = % 24.29/4.18 | | | | | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e0) & % 24.29/4.18 | | | | | op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.29/4.18 | | | | | (all_4_161 = e0) & op(e2, e2) = all_4_161 & % 24.29/4.18 | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e0) & op(e1, e1) = % 24.29/4.18 | | | | | all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e0) & % 24.29/4.19 | | | | | op(e0, e0) = all_4_163 & $i(all_4_163))) & (( ~ % 24.29/4.19 | | | | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e1) & op(e2, e2) = % 24.29/4.19 | | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e1) & % 24.29/4.19 | | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.29/4.19 | | | | | (all_4_163 = e1) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | $i(all_4_163)))) % 24.29/4.19 | | | | | % 24.29/4.19 | | | | | BETA: splitting (1155) gives: % 24.29/4.19 | | | | | % 24.29/4.19 | | | | | Case 1: % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | (1156) ( ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ (all_4_159 % 24.29/4.19 | | | | | | = e0) & ~ (all_4_159 = e1) & op(e0, e1) = all_4_159 & % 24.29/4.19 | | | | | | $i(all_4_159)) | ( ~ (all_4_160 = e3) & ~ (all_4_160 = % 24.29/4.19 | | | | | | e2) & ~ (all_4_160 = e0) & ~ (all_4_160 = e1) & % 24.29/4.19 | | | | | | op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 % 24.29/4.19 | | | | | | = e3) & ~ (all_4_161 = e2) & ~ (all_4_161 = e0) & ~ % 24.29/4.19 | | | | | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | $i(all_4_161)) % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | BETA: splitting (1156) gives: % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | Case 1: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | (1157) ~ (all_4_159 = e3) & ~ (all_4_159 = e2) & ~ % 24.29/4.19 | | | | | | | (all_4_159 = e0) & ~ (all_4_159 = e1) & op(e0, e1) = % 24.29/4.19 | | | | | | | all_4_159 & $i(all_4_159) % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | ALPHA: (1157) implies: % 24.29/4.19 | | | | | | | (1158) ~ (all_4_159 = e1) % 24.29/4.19 | | | | | | | (1159) op(e0, e1) = all_4_159 % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | GROUND_INST: instantiating (24) with e1, all_4_159, e1, e0, % 24.29/4.19 | | | | | | | simplifying with (5), (1159) gives: % 24.29/4.19 | | | | | | | (1160) all_4_159 = e1 % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | REDUCE: (1158), (1160) imply: % 24.29/4.19 | | | | | | | (1161) $false % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | CLOSE: (1161) is inconsistent. % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | Case 2: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | (1162) ( ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ % 24.29/4.19 | | | | | | | (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) = % 24.29/4.19 | | | | | | | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e3) & ~ % 24.29/4.19 | | | | | | | (all_4_161 = e2) & ~ (all_4_161 = e0) & ~ (all_4_161 % 24.29/4.19 | | | | | | | = e1) & op(e2, e2) = all_4_161 & $i(all_4_161)) % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | BETA: splitting (1162) gives: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1163) ~ (all_4_160 = e3) & ~ (all_4_160 = e2) & ~ % 24.29/4.19 | | | | | | | | (all_4_160 = e0) & ~ (all_4_160 = e1) & op(e3, e3) = % 24.29/4.19 | | | | | | | | all_4_160 & $i(all_4_160) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1163) implies: % 24.29/4.19 | | | | | | | | (1164) ~ (all_4_160 = e0) % 24.29/4.19 | | | | | | | | (1165) op(e3, e3) = all_4_160 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 24.29/4.19 | | | | | | | | simplifying with (16), (1165) gives: % 24.29/4.19 | | | | | | | | (1166) all_4_160 = e0 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | REDUCE: (1164), (1166) imply: % 24.29/4.19 | | | | | | | | (1167) $false % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | CLOSE: (1167) is inconsistent. % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1168) ~ (all_4_161 = e3) & ~ (all_4_161 = e2) & ~ % 24.29/4.19 | | | | | | | | (all_4_161 = e0) & ~ (all_4_161 = e1) & op(e2, e2) = % 24.29/4.19 | | | | | | | | all_4_161 & $i(all_4_161) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1168) implies: % 24.29/4.19 | | | | | | | | (1169) ~ (all_4_161 = e0) % 24.29/4.19 | | | | | | | | (1170) op(e2, e2) = all_4_161 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 24.29/4.19 | | | | | | | | simplifying with (11), (1170) gives: % 24.29/4.19 | | | | | | | | (1171) all_4_161 = e0 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | REDUCE: (1169), (1171) imply: % 24.29/4.19 | | | | | | | | (1172) $false % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | CLOSE: (1172) is inconsistent. % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | End of split % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | End of split % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | Case 2: % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | (1173) ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ (all_4_162 % 24.29/4.19 | | | | | | = e0) & ~ (all_4_162 = e1) & op(e1, e1) = all_4_162 & % 24.29/4.19 | | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e3) & ~ (all_4_163 = % 24.29/4.19 | | | | | | e2) & ~ (all_4_163 = e0) & ~ (all_4_163 = e1) & % 24.29/4.19 | | | | | | op(e0, e0) = all_4_163 & $i(all_4_163)) | ( ~ (unit = % 24.29/4.19 | | | | | | e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = % 24.29/4.19 | | | | | | e1)) | ((( ~ (all_4_160 = e3) & op(e3, e3) = all_4_160 % 24.29/4.19 | | | | | | & $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) % 24.29/4.19 | | | | | | = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e3) % 24.29/4.19 | | | | | | & op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.29/4.19 | | | | | | (all_4_163 = e3) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | $i(all_4_163))) & (( ~ (all_4_160 = e2) & op(e3, e3) % 24.29/4.19 | | | | | | = all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e2) % 24.29/4.19 | | | | | | & op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ % 24.29/4.19 | | | | | | (all_4_162 = e2) & op(e1, e1) = all_4_162 & % 24.29/4.19 | | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e2) & op(e0, e0) = % 24.29/4.19 | | | | | | all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = e0) % 24.29/4.19 | | | | | | & op(e3, e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.29/4.19 | | | | | | (all_4_161 = e0) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e0) & op(e1, e1) = % 24.29/4.19 | | | | | | all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e0) & % 24.29/4.19 | | | | | | op(e0, e0) = all_4_163 & $i(all_4_163))) & (( ~ % 24.29/4.19 | | | | | | (all_4_160 = e1) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e1) & op(e2, e2) = % 24.29/4.19 | | | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e1) & % 24.29/4.19 | | | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.29/4.19 | | | | | | (all_4_163 = e1) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | $i(all_4_163)))) % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | BETA: splitting (1173) gives: % 24.29/4.19 | | | | | | % 24.29/4.19 | | | | | | Case 1: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | (1174) ( ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ % 24.29/4.19 | | | | | | | (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) = % 24.29/4.19 | | | | | | | all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = e3) & ~ % 24.29/4.19 | | | | | | | (all_4_163 = e2) & ~ (all_4_163 = e0) & ~ (all_4_163 % 24.29/4.19 | | | | | | | = e1) & op(e0, e0) = all_4_163 & $i(all_4_163)) % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | BETA: splitting (1174) gives: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1175) ~ (all_4_162 = e3) & ~ (all_4_162 = e2) & ~ % 24.29/4.19 | | | | | | | | (all_4_162 = e0) & ~ (all_4_162 = e1) & op(e1, e1) = % 24.29/4.19 | | | | | | | | all_4_162 & $i(all_4_162) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1175) implies: % 24.29/4.19 | | | | | | | | (1176) ~ (all_4_162 = e0) % 24.29/4.19 | | | | | | | | (1177) op(e1, e1) = all_4_162 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 24.29/4.19 | | | | | | | | simplifying with (1), (1177) gives: % 24.29/4.19 | | | | | | | | (1178) all_4_162 = e0 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | REDUCE: (1176), (1178) imply: % 24.29/4.19 | | | | | | | | (1179) $false % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | CLOSE: (1179) is inconsistent. % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1180) ~ (all_4_163 = e3) & ~ (all_4_163 = e2) & ~ % 24.29/4.19 | | | | | | | | (all_4_163 = e0) & ~ (all_4_163 = e1) & op(e0, e0) = % 24.29/4.19 | | | | | | | | all_4_163 & $i(all_4_163) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1180) implies: % 24.29/4.19 | | | | | | | | (1181) ~ (all_4_163 = e0) % 24.29/4.19 | | | | | | | | (1182) op(e0, e0) = all_4_163 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.19 | | | | | | | | simplifying with (6), (1182) gives: % 24.29/4.19 | | | | | | | | (1183) all_4_163 = e0 % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | REDUCE: (1181), (1183) imply: % 24.29/4.19 | | | | | | | | (1184) $false % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | CLOSE: (1184) is inconsistent. % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | End of split % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | Case 2: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | (1185) ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 24.29/4.19 | | | | | | | (unit = e1)) | ((( ~ (all_4_160 = e3) & op(e3, e3) = % 24.29/4.19 | | | | | | | all_4_160 & $i(all_4_160)) | ( ~ (all_4_161 = e3) % 24.29/4.19 | | | | | | | & op(e2, e2) = all_4_161 & $i(all_4_161)) | ( ~ % 24.29/4.19 | | | | | | | (all_4_162 = e3) & op(e1, e1) = all_4_162 & % 24.29/4.19 | | | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e3) & op(e0, e0) % 24.29/4.19 | | | | | | | = all_4_163 & $i(all_4_163))) & (( ~ (all_4_160 = % 24.29/4.19 | | | | | | | e2) & op(e3, e3) = all_4_160 & $i(all_4_160)) | % 24.29/4.19 | | | | | | | ( ~ (all_4_161 = e2) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e2) & op(e1, e1) % 24.29/4.19 | | | | | | | = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = % 24.29/4.19 | | | | | | | e2) & op(e0, e0) = all_4_163 & $i(all_4_163))) & % 24.29/4.19 | | | | | | | (( ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) % 24.29/4.19 | | | | | | | = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = % 24.29/4.19 | | | | | | | e0) & op(e1, e1) = all_4_162 & $i(all_4_162)) | % 24.29/4.19 | | | | | | | ( ~ (all_4_163 = e0) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | | $i(all_4_163))) & (( ~ (all_4_160 = e1) & op(e3, % 24.29/4.19 | | | | | | | e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.29/4.19 | | | | | | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e1) & op(e1, e1) % 24.29/4.19 | | | | | | | = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = % 24.29/4.19 | | | | | | | e1) & op(e0, e0) = all_4_163 & $i(all_4_163)))) % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | BETA: splitting (1185) gives: % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1186) ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 24.29/4.19 | | | | | | | | (unit = e1) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1186) implies: % 24.29/4.19 | | | | | | | | (1187) ~ (unit = e0) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | REDUCE: (17), (1187) imply: % 24.29/4.19 | | | | | | | | (1188) $false % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | CLOSE: (1188) is inconsistent. % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | (1189) (( ~ (all_4_160 = e3) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e3) & op(e2, e2) % 24.29/4.19 | | | | | | | | = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = % 24.29/4.19 | | | | | | | | e3) & op(e1, e1) = all_4_162 & $i(all_4_162)) | % 24.29/4.19 | | | | | | | | ( ~ (all_4_163 = e3) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | | | $i(all_4_163))) & (( ~ (all_4_160 = e2) & op(e3, % 24.29/4.19 | | | | | | | | e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.29/4.19 | | | | | | | | (all_4_161 = e2) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e2) & op(e1, e1) % 24.29/4.19 | | | | | | | | = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = % 24.29/4.19 | | | | | | | | e2) & op(e0, e0) = all_4_163 & $i(all_4_163))) & % 24.29/4.19 | | | | | | | | (( ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) % 24.29/4.19 | | | | | | | | = all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = % 24.29/4.19 | | | | | | | | e0) & op(e1, e1) = all_4_162 & $i(all_4_162)) | % 24.29/4.19 | | | | | | | | ( ~ (all_4_163 = e0) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | | | $i(all_4_163))) & (( ~ (all_4_160 = e1) & op(e3, % 24.29/4.19 | | | | | | | | e3) = all_4_160 & $i(all_4_160)) | ( ~ % 24.29/4.19 | | | | | | | | (all_4_161 = e1) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | | | $i(all_4_161)) | ( ~ (all_4_162 = e1) & op(e1, e1) % 24.29/4.19 | | | | | | | | = all_4_162 & $i(all_4_162)) | ( ~ (all_4_163 = % 24.29/4.19 | | | | | | | | e1) & op(e0, e0) = all_4_163 & $i(all_4_163))) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | ALPHA: (1189) implies: % 24.29/4.19 | | | | | | | | (1190) ( ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) = % 24.29/4.19 | | | | | | | | all_4_161 & $i(all_4_161)) | ( ~ (all_4_162 = e0) & % 24.29/4.19 | | | | | | | | op(e1, e1) = all_4_162 & $i(all_4_162)) | ( ~ % 24.29/4.19 | | | | | | | | (all_4_163 = e0) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | | | $i(all_4_163)) % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | BETA: splitting (1190) gives: % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | (1191) ( ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | | | $i(all_4_160)) | ( ~ (all_4_161 = e0) & op(e2, e2) % 24.29/4.19 | | | | | | | | | = all_4_161 & $i(all_4_161)) % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | BETA: splitting (1191) gives: % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | (1192) ~ (all_4_160 = e0) & op(e3, e3) = all_4_160 & % 24.29/4.19 | | | | | | | | | | $i(all_4_160) % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | ALPHA: (1192) implies: % 24.29/4.19 | | | | | | | | | | (1193) ~ (all_4_160 = e0) % 24.29/4.19 | | | | | | | | | | (1194) op(e3, e3) = all_4_160 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_160, e3, e3, % 24.29/4.19 | | | | | | | | | | simplifying with (16), (1194) gives: % 24.29/4.19 | | | | | | | | | | (1195) all_4_160 = e0 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | REDUCE: (1193), (1195) imply: % 24.29/4.19 | | | | | | | | | | (1196) $false % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | CLOSE: (1196) is inconsistent. % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | (1197) ~ (all_4_161 = e0) & op(e2, e2) = all_4_161 & % 24.29/4.19 | | | | | | | | | | $i(all_4_161) % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | ALPHA: (1197) implies: % 24.29/4.19 | | | | | | | | | | (1198) ~ (all_4_161 = e0) % 24.29/4.19 | | | | | | | | | | (1199) op(e2, e2) = all_4_161 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_161, e2, e2, % 24.29/4.19 | | | | | | | | | | simplifying with (11), (1199) gives: % 24.29/4.19 | | | | | | | | | | (1200) all_4_161 = e0 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | REDUCE: (1198), (1200) imply: % 24.29/4.19 | | | | | | | | | | (1201) $false % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | CLOSE: (1201) is inconsistent. % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | End of split % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | (1202) ( ~ (all_4_162 = e0) & op(e1, e1) = all_4_162 & % 24.29/4.19 | | | | | | | | | $i(all_4_162)) | ( ~ (all_4_163 = e0) & op(e0, e0) % 24.29/4.19 | | | | | | | | | = all_4_163 & $i(all_4_163)) % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | BETA: splitting (1202) gives: % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | | Case 1: % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | (1203) ~ (all_4_162 = e0) & op(e1, e1) = all_4_162 & % 24.29/4.19 | | | | | | | | | | $i(all_4_162) % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | ALPHA: (1203) implies: % 24.29/4.19 | | | | | | | | | | (1204) ~ (all_4_162 = e0) % 24.29/4.19 | | | | | | | | | | (1205) op(e1, e1) = all_4_162 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_162, e1, e1, % 24.29/4.19 | | | | | | | | | | simplifying with (1), (1205) gives: % 24.29/4.19 | | | | | | | | | | (1206) all_4_162 = e0 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | REDUCE: (1204), (1206) imply: % 24.29/4.19 | | | | | | | | | | (1207) $false % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | CLOSE: (1207) is inconsistent. % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | Case 2: % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | (1208) ~ (all_4_163 = e0) & op(e0, e0) = all_4_163 & % 24.29/4.19 | | | | | | | | | | $i(all_4_163) % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | ALPHA: (1208) implies: % 24.29/4.19 | | | | | | | | | | (1209) ~ (all_4_163 = e0) % 24.29/4.19 | | | | | | | | | | (1210) op(e0, e0) = all_4_163 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | GROUND_INST: instantiating (24) with e0, all_4_163, e0, e0, % 24.29/4.19 | | | | | | | | | | simplifying with (6), (1210) gives: % 24.29/4.19 | | | | | | | | | | (1211) all_4_163 = e0 % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | REDUCE: (1209), (1211) imply: % 24.29/4.19 | | | | | | | | | | (1212) $false % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | | CLOSE: (1212) is inconsistent. % 24.29/4.19 | | | | | | | | | | % 24.29/4.19 | | | | | | | | | End of split % 24.29/4.19 | | | | | | | | | % 24.29/4.19 | | | | | | | | End of split % 24.29/4.19 | | | | | | | | % 24.29/4.19 | | | | | | | End of split % 24.29/4.19 | | | | | | | % 24.29/4.19 | | | | | | End of split % 24.29/4.20 | | | | | | % 24.29/4.20 | | | | | End of split % 24.29/4.20 | | | | | % 24.29/4.20 | | | | End of split % 24.29/4.20 | | | | % 24.29/4.20 | | | End of split % 24.29/4.20 | | | % 24.29/4.20 | | End of split % 24.29/4.20 | | % 24.29/4.20 | End of split % 24.29/4.20 | % 24.29/4.20 End of proof % 24.29/4.20 % SZS output end Proof for theBenchmark % 24.29/4.20 % 24.29/4.20 3602ms %------------------------------------------------------------------------------