TSTP Solution File: ALG204+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG204+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 : n028.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 16:39:53 EDT 2023
% Result : Theorem 14.09s 2.77s
% Output : Proof 22.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG204+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:15:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.60 ________ _____
% 0.21/0.60 ___ __ \_________(_)________________________________
% 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.60
% 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.60 (2023-06-19)
% 0.21/0.60
% 0.21/0.60 (c) Philipp Rümmer, 2009-2023
% 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.60 Amanda Stjerna.
% 0.21/0.60 Free software under BSD-3-Clause.
% 0.21/0.60
% 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.60
% 0.21/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.61 Running up to 7 provers in parallel.
% 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.70/1.30 Prover 4: Preprocessing ...
% 3.70/1.31 Prover 1: Preprocessing ...
% 4.09/1.36 Prover 5: Preprocessing ...
% 4.09/1.36 Prover 0: Preprocessing ...
% 4.09/1.36 Prover 6: Preprocessing ...
% 4.09/1.36 Prover 2: Preprocessing ...
% 4.09/1.36 Prover 3: Preprocessing ...
% 8.05/1.91 Prover 4: Constructing countermodel ...
% 8.38/1.92 Prover 1: Constructing countermodel ...
% 8.38/1.92 Prover 2: Constructing countermodel ...
% 8.38/1.93 Prover 6: Constructing countermodel ...
% 8.58/1.94 Prover 0: Constructing countermodel ...
% 8.58/1.95 Prover 3: Constructing countermodel ...
% 10.96/2.31 Prover 5: Constructing countermodel ...
% 14.09/2.76 Prover 0: proved (2131ms)
% 14.09/2.76
% 14.09/2.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.09/2.77
% 14.09/2.77 Prover 2: stopped
% 14.09/2.78 Prover 6: stopped
% 14.09/2.78 Prover 3: stopped
% 14.09/2.78 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.09/2.78 Prover 5: stopped
% 14.61/2.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.61/2.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.61/2.80 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.61/2.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.24/3.05 Prover 8: Preprocessing ...
% 16.24/3.05 Prover 7: Preprocessing ...
% 16.24/3.09 Prover 10: Preprocessing ...
% 16.24/3.10 Prover 11: Preprocessing ...
% 16.84/3.16 Prover 13: Preprocessing ...
% 17.43/3.20 Prover 10: Constructing countermodel ...
% 17.43/3.21 Prover 11: Constructing countermodel ...
% 17.43/3.21 Prover 8: Constructing countermodel ...
% 17.43/3.23 Prover 7: Constructing countermodel ...
% 18.52/3.38 Prover 13: Constructing countermodel ...
% 21.68/3.78 Prover 1: Found proof (size 106)
% 21.68/3.78 Prover 1: proved (3156ms)
% 21.68/3.78 Prover 8: stopped
% 21.68/3.78 Prover 10: stopped
% 21.68/3.78 Prover 11: stopped
% 21.68/3.78 Prover 4: stopped
% 21.68/3.78 Prover 7: stopped
% 21.68/3.78 Prover 13: stopped
% 21.68/3.78
% 21.68/3.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.68/3.78
% 21.68/3.80 % SZS output start Proof for theBenchmark
% 21.68/3.81 Assumptions after simplification:
% 21.68/3.81 ---------------------------------
% 21.68/3.81
% 21.68/3.81 (ax1)
% 21.68/3.81 ~ (e16 = e15) & ~ (e16 = e14) & ~ (e16 = e13) & ~ (e16 = e12) & ~ (e16 =
% 21.68/3.81 e10) & ~ (e16 = e11) & ~ (e15 = e14) & ~ (e15 = e13) & ~ (e15 = e12) &
% 21.68/3.81 ~ (e15 = e10) & ~ (e15 = e11) & ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 =
% 21.68/3.81 e10) & ~ (e14 = e11) & ~ (e13 = e12) & ~ (e13 = e10) & ~ (e13 = e11) &
% 21.68/3.81 ~ (e12 = e10) & ~ (e12 = e11) & ~ (e10 = e11) & $i(e16) & $i(e15) & $i(e14)
% 21.68/3.81 & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 21.68/3.81
% 21.68/3.81 (ax4)
% 22.04/3.84 op1(e16, e16) = e10 & op1(e16, e15) = e16 & op1(e16, e14) = e11 & op1(e16,
% 22.04/3.84 e13) = e13 & op1(e16, e12) = e14 & op1(e16, e10) = e15 & op1(e16, e11) = e12
% 22.04/3.84 & op1(e15, e16) = e16 & op1(e15, e15) = e11 & op1(e15, e14) = e15 & op1(e15,
% 22.04/3.84 e13) = e10 & op1(e15, e12) = e13 & op1(e15, e10) = e12 & op1(e15, e11) = e14
% 22.04/3.84 & op1(e14, e16) = e11 & op1(e14, e15) = e15 & op1(e14, e14) = e12 & op1(e14,
% 22.04/3.84 e13) = e16 & op1(e14, e12) = e10 & op1(e14, e10) = e14 & op1(e14, e11) = e13
% 22.04/3.84 & op1(e13, e16) = e13 & op1(e13, e15) = e10 & op1(e13, e14) = e16 & op1(e13,
% 22.04/3.84 e13) = e14 & op1(e13, e12) = e12 & op1(e13, e10) = e11 & op1(e13, e11) = e15
% 22.04/3.84 & op1(e12, e16) = e14 & op1(e12, e15) = e13 & op1(e12, e14) = e10 & op1(e12,
% 22.04/3.84 e13) = e12 & op1(e12, e12) = e15 & op1(e12, e10) = e16 & op1(e12, e11) = e11
% 22.04/3.84 & op1(e10, e16) = e15 & op1(e10, e15) = e12 & op1(e10, e14) = e14 & op1(e10,
% 22.04/3.84 e13) = e11 & op1(e10, e12) = e16 & op1(e10, e10) = e13 & op1(e10, e11) = e10
% 22.04/3.84 & op1(e11, e16) = e12 & op1(e11, e15) = e14 & op1(e11, e14) = e13 & op1(e11,
% 22.04/3.84 e13) = e15 & op1(e11, e12) = e11 & op1(e11, e10) = e10 & op1(e11, e11) = e16
% 22.04/3.84 & $i(e16) & $i(e15) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 22.04/3.84
% 22.04/3.84 (ax5)
% 22.04/3.85 op2(e26, e26) = e26 & op2(e26, e25) = e22 & op2(e26, e24) = e23 & op2(e26,
% 22.04/3.85 e23) = e21 & op2(e26, e22) = e20 & op2(e26, e20) = e25 & op2(e26, e21) = e24
% 22.04/3.85 & op2(e25, e26) = e22 & op2(e25, e25) = e25 & op2(e25, e24) = e21 & op2(e25,
% 22.04/3.85 e23) = e26 & op2(e25, e22) = e23 & op2(e25, e20) = e24 & op2(e25, e21) = e20
% 22.04/3.85 & op2(e24, e26) = e23 & op2(e24, e25) = e21 & op2(e24, e24) = e24 & op2(e24,
% 22.04/3.85 e23) = e20 & op2(e24, e22) = e25 & op2(e24, e20) = e26 & op2(e24, e21) = e22
% 22.04/3.85 & op2(e23, e26) = e21 & op2(e23, e25) = e26 & op2(e23, e24) = e20 & op2(e23,
% 22.04/3.85 e23) = e23 & op2(e23, e22) = e24 & op2(e23, e20) = e22 & op2(e23, e21) = e25
% 22.04/3.85 & op2(e22, e26) = e20 & op2(e22, e25) = e23 & op2(e22, e24) = e25 & op2(e22,
% 22.04/3.85 e23) = e24 & op2(e22, e22) = e22 & op2(e22, e20) = e21 & op2(e22, e21) = e26
% 22.04/3.85 & op2(e20, e26) = e25 & op2(e20, e25) = e24 & op2(e20, e24) = e26 & op2(e20,
% 22.04/3.85 e23) = e22 & op2(e20, e22) = e21 & op2(e20, e20) = e20 & op2(e20, e21) = e23
% 22.04/3.85 & op2(e21, e26) = e24 & op2(e21, e25) = e20 & op2(e21, e24) = e22 & op2(e21,
% 22.04/3.85 e23) = e25 & op2(e21, e22) = e26 & op2(e21, e20) = e23 & op2(e21, e21) = e21
% 22.04/3.85 & $i(e26) & $i(e25) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21)
% 22.04/3.85
% 22.04/3.85 (co1)
% 22.25/3.88 $i(e26) & $i(e25) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e16)
% 22.25/3.88 & $i(e15) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11) & ? [v0: $i] : ?
% 22.25/3.88 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 22.25/3.88 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 22.25/3.88 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 22.25/3.88 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 22.25/3.88 [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 22.25/3.88 [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ?
% 22.25/3.88 [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ?
% 22.25/3.88 [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ?
% 22.25/3.88 [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 22.25/3.88 [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ?
% 22.25/3.88 [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ?
% 22.25/3.88 [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ?
% 22.25/3.88 [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ?
% 22.25/3.88 [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ?
% 22.25/3.88 [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ?
% 22.25/3.88 [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: $i] : ? [v81: $i] : ?
% 22.25/3.88 [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: $i] : ? [v86: $i] : ?
% 22.25/3.88 [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: $i] : ? [v91: $i] : ?
% 22.25/3.88 [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ?
% 22.25/3.88 [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ?
% 22.25/3.88 [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] :
% 22.25/3.88 ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: $i] :
% 22.25/3.88 ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] : ? [v116: $i]
% 22.25/3.88 : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? [v120: $i] : ? [v121:
% 22.25/3.88 $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: $i] : ? [v125: $i] : ?
% 22.25/3.88 [v126: $i] : ? [v127: $i] : ? [v128: $i] : ? [v129: $i] : ? [v130: $i] :
% 22.25/3.88 ? [v131: $i] : ? [v132: $i] : ? [v133: $i] : ? [v134: $i] : ? [v135: $i] :
% 22.25/3.88 ? [v136: $i] : ? [v137: $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i]
% 22.25/3.88 : ? [v141: $i] : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145:
% 22.25/3.88 $i] : ? [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ?
% 22.25/3.88 [v150: $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] :
% 22.25/3.88 ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? [v159: $i] :
% 22.25/3.88 ? [v160: $i] : ? [v161: $i] : ? [v162: $i] : ? [v163: $i] : ? [v164: $i]
% 22.25/3.88 : ? [v165: $i] : ? [v166: $i] : ? [v167: $i] : ? [v168: $i] : ? [v169:
% 22.25/3.88 $i] : ? [v170: $i] : ? [v171: $i] : ? [v172: $i] : ? [v173: $i] : ?
% 22.25/3.88 [v174: $i] : ? [v175: $i] : ? [v176: $i] : ? [v177: $i] : ? [v178: $i] :
% 22.25/3.88 ? [v179: $i] : ? [v180: $i] : ? [v181: $i] : ? [v182: $i] : ? [v183: $i] :
% 22.25/3.88 ? [v184: $i] : ? [v185: $i] : ? [v186: $i] : ? [v187: $i] : ? [v188: $i]
% 22.25/3.88 : ? [v189: $i] : ? [v190: $i] : ? [v191: $i] : ? [v192: $i] : ? [v193:
% 22.25/3.88 $i] : ? [v194: $i] : ? [v195: $i] : ? [v196: $i] : ? [v197: $i] : ?
% 22.25/3.88 [v198: $i] : ? [v199: $i] : ? [v200: $i] : ? [v201: $i] : ? [v202: $i] :
% 22.25/3.88 ? [v203: $i] : ? [v204: $i] : ? [v205: $i] : ? [v206: $i] : ? [v207: $i] :
% 22.25/3.88 ? [v208: $i] : ? [v209: $i] : (h(v110) = v111 & h(v108) = v109 & h(v106) =
% 22.25/3.88 v107 & h(v104) = v105 & h(v102) = v103 & h(v100) = v101 & h(v98) = v99 &
% 22.25/3.88 h(v96) = v97 & h(v94) = v95 & h(v92) = v93 & h(v90) = v91 & h(v88) = v89 &
% 22.25/3.88 h(v86) = v87 & h(v84) = v85 & h(v82) = v83 & h(v80) = v81 & h(v78) = v79 &
% 22.25/3.88 h(v76) = v77 & h(v74) = v75 & h(v72) = v73 & h(v70) = v71 & h(v68) = v69 &
% 22.25/3.88 h(v66) = v67 & h(v64) = v65 & h(v62) = v63 & h(v60) = v61 & h(v58) = v59 &
% 22.25/3.88 h(v56) = v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 &
% 22.25/3.88 h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) = v39 &
% 22.25/3.88 h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 & h(v28) = v29 &
% 22.25/3.88 h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) = v21 & h(v18) = v19 &
% 22.25/3.88 h(v16) = v17 & h(v14) = v15 & h(v13) = e26 & h(v12) = e25 & h(v11) = e24 &
% 22.25/3.88 h(v10) = e23 & h(v9) = e22 & h(v8) = e21 & h(v7) = e20 & h(e16) = v6 &
% 22.25/3.88 h(e15) = v5 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = v0 & h(e11)
% 22.25/3.88 = v1 & j(v208) = v209 & j(v206) = v207 & j(v204) = v205 & j(v202) = v203 &
% 22.25/3.88 j(v200) = v201 & j(v198) = v199 & j(v196) = v197 & j(v194) = v195 & j(v192)
% 22.25/3.88 = v193 & j(v190) = v191 & j(v188) = v189 & j(v186) = v187 & j(v184) = v185 &
% 22.25/3.88 j(v182) = v183 & j(v180) = v181 & j(v178) = v179 & j(v176) = v177 & j(v174)
% 22.25/3.88 = v175 & j(v172) = v173 & j(v170) = v171 & j(v168) = v169 & j(v166) = v167 &
% 22.25/3.88 j(v164) = v165 & j(v162) = v163 & j(v160) = v161 & j(v158) = v159 & j(v156)
% 22.25/3.88 = v157 & j(v154) = v155 & j(v152) = v153 & j(v150) = v151 & j(v148) = v149 &
% 22.25/3.88 j(v146) = v147 & j(v144) = v145 & j(v142) = v143 & j(v140) = v141 & j(v138)
% 22.25/3.88 = v139 & j(v136) = v137 & j(v134) = v135 & j(v132) = v133 & j(v130) = v131 &
% 22.25/3.88 j(v128) = v129 & j(v126) = v127 & j(v124) = v125 & j(v122) = v123 & j(v120)
% 22.25/3.88 = v121 & j(v118) = v119 & j(v116) = v117 & j(v114) = v115 & j(v112) = v113 &
% 22.25/3.88 j(v6) = e16 & j(v5) = e15 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1)
% 22.25/3.88 = e11 & j(v0) = e10 & j(e26) = v13 & j(e25) = v12 & j(e24) = v11 & j(e23) =
% 22.25/3.88 v10 & j(e22) = v9 & j(e20) = v7 & j(e21) = v8 & op2(v6, v6) = v111 & op2(v6,
% 22.25/3.88 v5) = v109 & op2(v6, v4) = v107 & op2(v6, v3) = v105 & op2(v6, v2) = v103
% 22.25/3.88 & op2(v6, v1) = v101 & op2(v6, v0) = v99 & op2(v5, v6) = v97 & op2(v5, v5) =
% 22.25/3.88 v95 & op2(v5, v4) = v93 & op2(v5, v3) = v91 & op2(v5, v2) = v89 & op2(v5,
% 22.25/3.88 v1) = v87 & op2(v5, v0) = v85 & op2(v4, v6) = v83 & op2(v4, v5) = v81 &
% 22.25/3.88 op2(v4, v4) = v79 & op2(v4, v3) = v77 & op2(v4, v2) = v75 & op2(v4, v1) =
% 22.25/3.88 v73 & op2(v4, v0) = v71 & op2(v3, v6) = v69 & op2(v3, v5) = v67 & op2(v3,
% 22.25/3.88 v4) = v65 & op2(v3, v3) = v63 & op2(v3, v2) = v61 & op2(v3, v1) = v59 &
% 22.25/3.88 op2(v3, v0) = v57 & op2(v2, v6) = v55 & op2(v2, v5) = v53 & op2(v2, v4) =
% 22.25/3.88 v51 & op2(v2, v3) = v49 & op2(v2, v2) = v47 & op2(v2, v1) = v45 & op2(v2,
% 22.25/3.88 v0) = v43 & op2(v1, v6) = v41 & op2(v1, v5) = v39 & op2(v1, v4) = v37 &
% 22.25/3.88 op2(v1, v3) = v35 & op2(v1, v2) = v33 & op2(v1, v1) = v31 & op2(v1, v0) =
% 22.25/3.88 v29 & op2(v0, v6) = v27 & op2(v0, v5) = v25 & op2(v0, v4) = v23 & op2(v0,
% 22.25/3.88 v3) = v21 & op2(v0, v2) = v19 & op2(v0, v1) = v17 & op2(v0, v0) = v15 &
% 22.25/3.88 op2(e26, e26) = v208 & op2(e26, e25) = v206 & op2(e26, e24) = v204 &
% 22.25/3.88 op2(e26, e23) = v202 & op2(e26, e22) = v200 & op2(e26, e20) = v196 &
% 22.25/3.88 op2(e26, e21) = v198 & op2(e25, e26) = v194 & op2(e25, e25) = v192 &
% 22.25/3.88 op2(e25, e24) = v190 & op2(e25, e23) = v188 & op2(e25, e22) = v186 &
% 22.25/3.88 op2(e25, e20) = v182 & op2(e25, e21) = v184 & op2(e24, e26) = v180 &
% 22.25/3.88 op2(e24, e25) = v178 & op2(e24, e24) = v176 & op2(e24, e23) = v174 &
% 22.25/3.88 op2(e24, e22) = v172 & op2(e24, e20) = v168 & op2(e24, e21) = v170 &
% 22.25/3.88 op2(e23, e26) = v166 & op2(e23, e25) = v164 & op2(e23, e24) = v162 &
% 22.25/3.88 op2(e23, e23) = v160 & op2(e23, e22) = v158 & op2(e23, e20) = v154 &
% 22.25/3.88 op2(e23, e21) = v156 & op2(e22, e26) = v152 & op2(e22, e25) = v150 &
% 22.25/3.88 op2(e22, e24) = v148 & op2(e22, e23) = v146 & op2(e22, e22) = v144 &
% 22.25/3.88 op2(e22, e20) = v140 & op2(e22, e21) = v142 & op2(e20, e26) = v124 &
% 22.25/3.88 op2(e20, e25) = v122 & op2(e20, e24) = v120 & op2(e20, e23) = v118 &
% 22.25/3.88 op2(e20, e22) = v116 & op2(e20, e20) = v112 & op2(e20, e21) = v114 &
% 22.25/3.88 op2(e21, e26) = v138 & op2(e21, e25) = v136 & op2(e21, e24) = v134 &
% 22.25/3.88 op2(e21, e23) = v132 & op2(e21, e22) = v130 & op2(e21, e20) = v126 &
% 22.25/3.88 op2(e21, e21) = v128 & op1(v13, v13) = v209 & op1(v13, v12) = v207 &
% 22.25/3.88 op1(v13, v11) = v205 & op1(v13, v10) = v203 & op1(v13, v9) = v201 & op1(v13,
% 22.25/3.88 v8) = v199 & op1(v13, v7) = v197 & op1(v12, v13) = v195 & op1(v12, v12) =
% 22.25/3.88 v193 & op1(v12, v11) = v191 & op1(v12, v10) = v189 & op1(v12, v9) = v187 &
% 22.25/3.88 op1(v12, v8) = v185 & op1(v12, v7) = v183 & op1(v11, v13) = v181 & op1(v11,
% 22.25/3.88 v12) = v179 & op1(v11, v11) = v177 & op1(v11, v10) = v175 & op1(v11, v9) =
% 22.25/3.88 v173 & op1(v11, v8) = v171 & op1(v11, v7) = v169 & op1(v10, v13) = v167 &
% 22.25/3.88 op1(v10, v12) = v165 & op1(v10, v11) = v163 & op1(v10, v10) = v161 &
% 22.25/3.88 op1(v10, v9) = v159 & op1(v10, v8) = v157 & op1(v10, v7) = v155 & op1(v9,
% 22.25/3.88 v13) = v153 & op1(v9, v12) = v151 & op1(v9, v11) = v149 & op1(v9, v10) =
% 22.25/3.88 v147 & op1(v9, v9) = v145 & op1(v9, v8) = v143 & op1(v9, v7) = v141 &
% 22.25/3.88 op1(v8, v13) = v139 & op1(v8, v12) = v137 & op1(v8, v11) = v135 & op1(v8,
% 22.25/3.88 v10) = v133 & op1(v8, v9) = v131 & op1(v8, v8) = v129 & op1(v8, v7) = v127
% 22.25/3.88 & op1(v7, v13) = v125 & op1(v7, v12) = v123 & op1(v7, v11) = v121 & op1(v7,
% 22.25/3.88 v10) = v119 & op1(v7, v9) = v117 & op1(v7, v8) = v115 & op1(v7, v7) = v113
% 22.25/3.88 & op1(e16, e16) = v110 & op1(e16, e15) = v108 & op1(e16, e14) = v106 &
% 22.25/3.88 op1(e16, e13) = v104 & op1(e16, e12) = v102 & op1(e16, e10) = v98 & op1(e16,
% 22.25/3.88 e11) = v100 & op1(e15, e16) = v96 & op1(e15, e15) = v94 & op1(e15, e14) =
% 22.25/3.88 v92 & op1(e15, e13) = v90 & op1(e15, e12) = v88 & op1(e15, e10) = v84 &
% 22.25/3.88 op1(e15, e11) = v86 & op1(e14, e16) = v82 & op1(e14, e15) = v80 & op1(e14,
% 22.25/3.88 e14) = v78 & op1(e14, e13) = v76 & op1(e14, e12) = v74 & op1(e14, e10) =
% 22.25/3.88 v70 & op1(e14, e11) = v72 & op1(e13, e16) = v68 & op1(e13, e15) = v66 &
% 22.25/3.88 op1(e13, e14) = v64 & op1(e13, e13) = v62 & op1(e13, e12) = v60 & op1(e13,
% 22.25/3.88 e10) = v56 & op1(e13, e11) = v58 & op1(e12, e16) = v54 & op1(e12, e15) =
% 22.25/3.88 v52 & op1(e12, e14) = v50 & op1(e12, e13) = v48 & op1(e12, e12) = v46 &
% 22.25/3.88 op1(e12, e10) = v42 & op1(e12, e11) = v44 & op1(e10, e16) = v26 & op1(e10,
% 22.25/3.88 e15) = v24 & op1(e10, e14) = v22 & op1(e10, e13) = v20 & op1(e10, e12) =
% 22.25/3.88 v18 & op1(e10, e10) = v14 & op1(e10, e11) = v16 & op1(e11, e16) = v40 &
% 22.25/3.88 op1(e11, e15) = v38 & op1(e11, e14) = v36 & op1(e11, e13) = v34 & op1(e11,
% 22.25/3.88 e12) = v32 & op1(e11, e10) = v28 & op1(e11, e11) = v30 & $i(v209) &
% 22.25/3.88 $i(v208) & $i(v207) & $i(v206) & $i(v205) & $i(v204) & $i(v203) & $i(v202) &
% 22.25/3.88 $i(v201) & $i(v200) & $i(v199) & $i(v198) & $i(v197) & $i(v196) & $i(v195) &
% 22.25/3.88 $i(v194) & $i(v193) & $i(v192) & $i(v191) & $i(v190) & $i(v189) & $i(v188) &
% 22.25/3.88 $i(v187) & $i(v186) & $i(v185) & $i(v184) & $i(v183) & $i(v182) & $i(v181) &
% 22.25/3.88 $i(v180) & $i(v179) & $i(v178) & $i(v177) & $i(v176) & $i(v175) & $i(v174) &
% 22.25/3.88 $i(v173) & $i(v172) & $i(v171) & $i(v170) & $i(v169) & $i(v168) & $i(v167) &
% 22.25/3.88 $i(v166) & $i(v165) & $i(v164) & $i(v163) & $i(v162) & $i(v161) & $i(v160) &
% 22.25/3.88 $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 22.25/3.88 $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) & $i(v146) &
% 22.25/3.88 $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & $i(v140) & $i(v139) &
% 22.25/3.88 $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) & $i(v133) & $i(v132) &
% 22.25/3.88 $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & $i(v126) & $i(v125) &
% 22.25/3.88 $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) &
% 22.25/3.88 $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 22.25/3.88 $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) &
% 22.25/3.88 $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) &
% 22.25/3.88 $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) &
% 22.25/3.88 $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) &
% 22.25/3.88 $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76) &
% 22.25/3.88 $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) &
% 22.25/3.88 $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) &
% 22.25/3.88 $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) &
% 22.25/3.88 $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) &
% 22.25/3.88 $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) &
% 22.25/3.88 $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 22.25/3.88 $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 22.25/3.88 $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 22.25/3.88 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 22.25/3.88 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 22.25/3.88 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v13 = e16 | v13 = e15 | v13 =
% 22.25/3.88 e14 | v13 = e13 | v13 = e12 | v13 = e10 | v13 = e11) & (v12 = e16 | v12 =
% 22.25/3.88 e15 | v12 = e14 | v12 = e13 | v12 = e12 | v12 = e10 | v12 = e11) & (v11 =
% 22.25/3.88 e16 | v11 = e15 | v11 = e14 | v11 = e13 | v11 = e12 | v11 = e10 | v11 =
% 22.25/3.88 e11) & (v10 = e16 | v10 = e15 | v10 = e14 | v10 = e13 | v10 = e12 | v10 =
% 22.25/3.88 e10 | v10 = e11) & (v9 = e16 | v9 = e15 | v9 = e14 | v9 = e13 | v9 = e12 |
% 22.25/3.88 v9 = e10 | v9 = e11) & (v8 = e16 | v8 = e15 | v8 = e14 | v8 = e13 | v8 =
% 22.25/3.88 e12 | v8 = e10 | v8 = e11) & (v7 = e16 | v7 = e15 | v7 = e14 | v7 = e13 |
% 22.25/3.88 v7 = e12 | v7 = e10 | v7 = e11) & (v6 = e26 | v6 = e25 | v6 = e24 | v6 =
% 22.25/3.88 e23 | v6 = e22 | v6 = e20 | v6 = e21) & (v5 = e26 | v5 = e25 | v5 = e24 |
% 22.25/3.88 v5 = e23 | v5 = e22 | v5 = e20 | v5 = e21) & (v4 = e26 | v4 = e25 | v4 =
% 22.25/3.88 e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e26 | v3 = e25 |
% 22.25/3.88 v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e26 | v2 =
% 22.25/3.88 e25 | v2 = e24 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e26 |
% 22.25/3.88 v1 = e25 | v1 = e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) & (v0 =
% 22.25/3.88 e26 | v0 = e25 | v0 = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 22.25/3.88
% 22.25/3.88 (function-axioms)
% 22.25/3.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 22.25/3.88 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 22.25/3.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 22.25/3.88 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) =
% 22.25/3.88 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 22.25/3.88 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0))
% 22.25/3.88
% 22.25/3.88 Further assumptions not needed in the proof:
% 22.25/3.88 --------------------------------------------
% 22.25/3.88 ax2, ax3
% 22.25/3.88
% 22.25/3.88 Those formulas are unsatisfiable:
% 22.25/3.88 ---------------------------------
% 22.25/3.88
% 22.25/3.88 Begin of proof
% 22.25/3.88 |
% 22.25/3.88 | ALPHA: (ax1) implies:
% 22.25/3.89 | (1) ~ (e14 = e12)
% 22.25/3.89 | (2) ~ (e15 = e11)
% 22.25/3.89 | (3) ~ (e16 = e10)
% 22.25/3.89 |
% 22.25/3.89 | ALPHA: (ax4) implies:
% 22.25/3.89 | (4) op1(e11, e11) = e16
% 22.25/3.89 | (5) op1(e10, e10) = e13
% 22.25/3.89 | (6) op1(e12, e12) = e15
% 22.25/3.89 | (7) op1(e13, e13) = e14
% 22.25/3.89 | (8) op1(e14, e14) = e12
% 22.25/3.89 | (9) op1(e15, e15) = e11
% 22.25/3.89 | (10) op1(e16, e16) = e10
% 22.25/3.89 |
% 22.25/3.89 | ALPHA: (ax5) implies:
% 22.25/3.89 | (11) op2(e21, e25) = e20
% 22.25/3.89 | (12) op2(e20, e20) = e20
% 22.25/3.89 | (13) op2(e22, e26) = e20
% 22.25/3.89 | (14) op2(e23, e24) = e20
% 22.25/3.89 | (15) op2(e24, e23) = e20
% 22.25/3.89 | (16) op2(e25, e21) = e20
% 22.25/3.89 | (17) op2(e26, e22) = e20
% 22.25/3.89 |
% 22.25/3.89 | ALPHA: (co1) implies:
% 22.25/3.91 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 22.25/3.91 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 22.25/3.91 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 22.25/3.91 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 22.25/3.91 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 22.25/3.91 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 22.25/3.91 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 22.25/3.91 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 22.25/3.91 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 22.25/3.91 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 22.25/3.91 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 22.25/3.91 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 22.25/3.91 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 22.25/3.91 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 22.25/3.91 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 22.25/3.91 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 22.25/3.91 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 22.25/3.91 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 22.25/3.91 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 22.25/3.91 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 22.25/3.91 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 22.25/3.91 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 22.25/3.91 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 22.25/3.91 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 22.25/3.91 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 22.25/3.91 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 22.25/3.91 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 22.25/3.91 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 22.25/3.91 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 22.25/3.91 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 22.25/3.91 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 22.25/3.91 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 22.25/3.91 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 22.25/3.91 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 22.25/3.91 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 22.25/3.91 | [v159: $i] : ? [v160: $i] : ? [v161: $i] : ? [v162: $i] : ? [v163:
% 22.25/3.91 | $i] : ? [v164: $i] : ? [v165: $i] : ? [v166: $i] : ? [v167: $i]
% 22.25/3.91 | : ? [v168: $i] : ? [v169: $i] : ? [v170: $i] : ? [v171: $i] : ?
% 22.25/3.91 | [v172: $i] : ? [v173: $i] : ? [v174: $i] : ? [v175: $i] : ? [v176:
% 22.25/3.91 | $i] : ? [v177: $i] : ? [v178: $i] : ? [v179: $i] : ? [v180: $i]
% 22.25/3.91 | : ? [v181: $i] : ? [v182: $i] : ? [v183: $i] : ? [v184: $i] : ?
% 22.25/3.91 | [v185: $i] : ? [v186: $i] : ? [v187: $i] : ? [v188: $i] : ? [v189:
% 22.25/3.91 | $i] : ? [v190: $i] : ? [v191: $i] : ? [v192: $i] : ? [v193: $i]
% 22.25/3.91 | : ? [v194: $i] : ? [v195: $i] : ? [v196: $i] : ? [v197: $i] : ?
% 22.25/3.91 | [v198: $i] : ? [v199: $i] : ? [v200: $i] : ? [v201: $i] : ? [v202:
% 22.25/3.91 | $i] : ? [v203: $i] : ? [v204: $i] : ? [v205: $i] : ? [v206: $i]
% 22.25/3.91 | : ? [v207: $i] : ? [v208: $i] : ? [v209: $i] : (h(v110) = v111 &
% 22.25/3.91 | h(v108) = v109 & h(v106) = v107 & h(v104) = v105 & h(v102) = v103 &
% 22.25/3.91 | h(v100) = v101 & h(v98) = v99 & h(v96) = v97 & h(v94) = v95 & h(v92)
% 22.25/3.91 | = v93 & h(v90) = v91 & h(v88) = v89 & h(v86) = v87 & h(v84) = v85 &
% 22.25/3.91 | h(v82) = v83 & h(v80) = v81 & h(v78) = v79 & h(v76) = v77 & h(v74) =
% 22.25/3.91 | v75 & h(v72) = v73 & h(v70) = v71 & h(v68) = v69 & h(v66) = v67 &
% 22.25/3.91 | h(v64) = v65 & h(v62) = v63 & h(v60) = v61 & h(v58) = v59 & h(v56) =
% 22.25/3.91 | v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 &
% 22.25/3.91 | h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) =
% 22.25/3.91 | v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 &
% 22.25/3.91 | h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) =
% 22.25/3.91 | v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v13) = e26 &
% 22.25/3.91 | h(v12) = e25 & h(v11) = e24 & h(v10) = e23 & h(v9) = e22 & h(v8) =
% 22.25/3.91 | e21 & h(v7) = e20 & h(e16) = v6 & h(e15) = v5 & h(e14) = v4 & h(e13)
% 22.25/3.91 | = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1 & j(v208) = v209 &
% 22.25/3.91 | j(v206) = v207 & j(v204) = v205 & j(v202) = v203 & j(v200) = v201 &
% 22.25/3.91 | j(v198) = v199 & j(v196) = v197 & j(v194) = v195 & j(v192) = v193 &
% 22.25/3.91 | j(v190) = v191 & j(v188) = v189 & j(v186) = v187 & j(v184) = v185 &
% 22.25/3.91 | j(v182) = v183 & j(v180) = v181 & j(v178) = v179 & j(v176) = v177 &
% 22.25/3.91 | j(v174) = v175 & j(v172) = v173 & j(v170) = v171 & j(v168) = v169 &
% 22.25/3.91 | j(v166) = v167 & j(v164) = v165 & j(v162) = v163 & j(v160) = v161 &
% 22.25/3.91 | j(v158) = v159 & j(v156) = v157 & j(v154) = v155 & j(v152) = v153 &
% 22.25/3.91 | j(v150) = v151 & j(v148) = v149 & j(v146) = v147 & j(v144) = v145 &
% 22.25/3.91 | j(v142) = v143 & j(v140) = v141 & j(v138) = v139 & j(v136) = v137 &
% 22.25/3.91 | j(v134) = v135 & j(v132) = v133 & j(v130) = v131 & j(v128) = v129 &
% 22.25/3.91 | j(v126) = v127 & j(v124) = v125 & j(v122) = v123 & j(v120) = v121 &
% 22.25/3.91 | j(v118) = v119 & j(v116) = v117 & j(v114) = v115 & j(v112) = v113 &
% 22.25/3.91 | j(v6) = e16 & j(v5) = e15 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12
% 22.25/3.91 | & j(v1) = e11 & j(v0) = e10 & j(e26) = v13 & j(e25) = v12 & j(e24) =
% 22.25/3.91 | v11 & j(e23) = v10 & j(e22) = v9 & j(e20) = v7 & j(e21) = v8 &
% 22.25/3.91 | op2(v6, v6) = v111 & op2(v6, v5) = v109 & op2(v6, v4) = v107 &
% 22.25/3.91 | op2(v6, v3) = v105 & op2(v6, v2) = v103 & op2(v6, v1) = v101 &
% 22.25/3.91 | op2(v6, v0) = v99 & op2(v5, v6) = v97 & op2(v5, v5) = v95 & op2(v5,
% 22.25/3.91 | v4) = v93 & op2(v5, v3) = v91 & op2(v5, v2) = v89 & op2(v5, v1) =
% 22.25/3.91 | v87 & op2(v5, v0) = v85 & op2(v4, v6) = v83 & op2(v4, v5) = v81 &
% 22.25/3.91 | op2(v4, v4) = v79 & op2(v4, v3) = v77 & op2(v4, v2) = v75 & op2(v4,
% 22.25/3.91 | v1) = v73 & op2(v4, v0) = v71 & op2(v3, v6) = v69 & op2(v3, v5) =
% 22.25/3.91 | v67 & op2(v3, v4) = v65 & op2(v3, v3) = v63 & op2(v3, v2) = v61 &
% 22.25/3.91 | op2(v3, v1) = v59 & op2(v3, v0) = v57 & op2(v2, v6) = v55 & op2(v2,
% 22.25/3.91 | v5) = v53 & op2(v2, v4) = v51 & op2(v2, v3) = v49 & op2(v2, v2) =
% 22.25/3.91 | v47 & op2(v2, v1) = v45 & op2(v2, v0) = v43 & op2(v1, v6) = v41 &
% 22.25/3.91 | op2(v1, v5) = v39 & op2(v1, v4) = v37 & op2(v1, v3) = v35 & op2(v1,
% 22.25/3.91 | v2) = v33 & op2(v1, v1) = v31 & op2(v1, v0) = v29 & op2(v0, v6) =
% 22.25/3.91 | v27 & op2(v0, v5) = v25 & op2(v0, v4) = v23 & op2(v0, v3) = v21 &
% 22.25/3.91 | op2(v0, v2) = v19 & op2(v0, v1) = v17 & op2(v0, v0) = v15 & op2(e26,
% 22.25/3.91 | e26) = v208 & op2(e26, e25) = v206 & op2(e26, e24) = v204 &
% 22.25/3.91 | op2(e26, e23) = v202 & op2(e26, e22) = v200 & op2(e26, e20) = v196 &
% 22.25/3.91 | op2(e26, e21) = v198 & op2(e25, e26) = v194 & op2(e25, e25) = v192 &
% 22.25/3.91 | op2(e25, e24) = v190 & op2(e25, e23) = v188 & op2(e25, e22) = v186 &
% 22.25/3.91 | op2(e25, e20) = v182 & op2(e25, e21) = v184 & op2(e24, e26) = v180 &
% 22.25/3.91 | op2(e24, e25) = v178 & op2(e24, e24) = v176 & op2(e24, e23) = v174 &
% 22.25/3.91 | op2(e24, e22) = v172 & op2(e24, e20) = v168 & op2(e24, e21) = v170 &
% 22.25/3.91 | op2(e23, e26) = v166 & op2(e23, e25) = v164 & op2(e23, e24) = v162 &
% 22.25/3.91 | op2(e23, e23) = v160 & op2(e23, e22) = v158 & op2(e23, e20) = v154 &
% 22.25/3.91 | op2(e23, e21) = v156 & op2(e22, e26) = v152 & op2(e22, e25) = v150 &
% 22.25/3.91 | op2(e22, e24) = v148 & op2(e22, e23) = v146 & op2(e22, e22) = v144 &
% 22.25/3.91 | op2(e22, e20) = v140 & op2(e22, e21) = v142 & op2(e20, e26) = v124 &
% 22.25/3.91 | op2(e20, e25) = v122 & op2(e20, e24) = v120 & op2(e20, e23) = v118 &
% 22.25/3.91 | op2(e20, e22) = v116 & op2(e20, e20) = v112 & op2(e20, e21) = v114 &
% 22.25/3.91 | op2(e21, e26) = v138 & op2(e21, e25) = v136 & op2(e21, e24) = v134 &
% 22.25/3.91 | op2(e21, e23) = v132 & op2(e21, e22) = v130 & op2(e21, e20) = v126 &
% 22.25/3.91 | op2(e21, e21) = v128 & op1(v13, v13) = v209 & op1(v13, v12) = v207 &
% 22.25/3.91 | op1(v13, v11) = v205 & op1(v13, v10) = v203 & op1(v13, v9) = v201 &
% 22.25/3.91 | op1(v13, v8) = v199 & op1(v13, v7) = v197 & op1(v12, v13) = v195 &
% 22.25/3.91 | op1(v12, v12) = v193 & op1(v12, v11) = v191 & op1(v12, v10) = v189 &
% 22.25/3.91 | op1(v12, v9) = v187 & op1(v12, v8) = v185 & op1(v12, v7) = v183 &
% 22.25/3.91 | op1(v11, v13) = v181 & op1(v11, v12) = v179 & op1(v11, v11) = v177 &
% 22.25/3.91 | op1(v11, v10) = v175 & op1(v11, v9) = v173 & op1(v11, v8) = v171 &
% 22.25/3.91 | op1(v11, v7) = v169 & op1(v10, v13) = v167 & op1(v10, v12) = v165 &
% 22.25/3.91 | op1(v10, v11) = v163 & op1(v10, v10) = v161 & op1(v10, v9) = v159 &
% 22.25/3.91 | op1(v10, v8) = v157 & op1(v10, v7) = v155 & op1(v9, v13) = v153 &
% 22.25/3.91 | op1(v9, v12) = v151 & op1(v9, v11) = v149 & op1(v9, v10) = v147 &
% 22.25/3.91 | op1(v9, v9) = v145 & op1(v9, v8) = v143 & op1(v9, v7) = v141 &
% 22.25/3.91 | op1(v8, v13) = v139 & op1(v8, v12) = v137 & op1(v8, v11) = v135 &
% 22.25/3.91 | op1(v8, v10) = v133 & op1(v8, v9) = v131 & op1(v8, v8) = v129 &
% 22.25/3.91 | op1(v8, v7) = v127 & op1(v7, v13) = v125 & op1(v7, v12) = v123 &
% 22.25/3.91 | op1(v7, v11) = v121 & op1(v7, v10) = v119 & op1(v7, v9) = v117 &
% 22.25/3.91 | op1(v7, v8) = v115 & op1(v7, v7) = v113 & op1(e16, e16) = v110 &
% 22.25/3.91 | op1(e16, e15) = v108 & op1(e16, e14) = v106 & op1(e16, e13) = v104 &
% 22.25/3.91 | op1(e16, e12) = v102 & op1(e16, e10) = v98 & op1(e16, e11) = v100 &
% 22.25/3.91 | op1(e15, e16) = v96 & op1(e15, e15) = v94 & op1(e15, e14) = v92 &
% 22.25/3.91 | op1(e15, e13) = v90 & op1(e15, e12) = v88 & op1(e15, e10) = v84 &
% 22.25/3.91 | op1(e15, e11) = v86 & op1(e14, e16) = v82 & op1(e14, e15) = v80 &
% 22.25/3.91 | op1(e14, e14) = v78 & op1(e14, e13) = v76 & op1(e14, e12) = v74 &
% 22.25/3.91 | op1(e14, e10) = v70 & op1(e14, e11) = v72 & op1(e13, e16) = v68 &
% 22.25/3.91 | op1(e13, e15) = v66 & op1(e13, e14) = v64 & op1(e13, e13) = v62 &
% 22.25/3.91 | op1(e13, e12) = v60 & op1(e13, e10) = v56 & op1(e13, e11) = v58 &
% 22.25/3.91 | op1(e12, e16) = v54 & op1(e12, e15) = v52 & op1(e12, e14) = v50 &
% 22.25/3.91 | op1(e12, e13) = v48 & op1(e12, e12) = v46 & op1(e12, e10) = v42 &
% 22.25/3.91 | op1(e12, e11) = v44 & op1(e10, e16) = v26 & op1(e10, e15) = v24 &
% 22.25/3.91 | op1(e10, e14) = v22 & op1(e10, e13) = v20 & op1(e10, e12) = v18 &
% 22.25/3.91 | op1(e10, e10) = v14 & op1(e10, e11) = v16 & op1(e11, e16) = v40 &
% 22.25/3.91 | op1(e11, e15) = v38 & op1(e11, e14) = v36 & op1(e11, e13) = v34 &
% 22.25/3.91 | op1(e11, e12) = v32 & op1(e11, e10) = v28 & op1(e11, e11) = v30 &
% 22.25/3.91 | $i(v209) & $i(v208) & $i(v207) & $i(v206) & $i(v205) & $i(v204) &
% 22.25/3.91 | $i(v203) & $i(v202) & $i(v201) & $i(v200) & $i(v199) & $i(v198) &
% 22.25/3.91 | $i(v197) & $i(v196) & $i(v195) & $i(v194) & $i(v193) & $i(v192) &
% 22.25/3.91 | $i(v191) & $i(v190) & $i(v189) & $i(v188) & $i(v187) & $i(v186) &
% 22.25/3.91 | $i(v185) & $i(v184) & $i(v183) & $i(v182) & $i(v181) & $i(v180) &
% 22.25/3.91 | $i(v179) & $i(v178) & $i(v177) & $i(v176) & $i(v175) & $i(v174) &
% 22.25/3.91 | $i(v173) & $i(v172) & $i(v171) & $i(v170) & $i(v169) & $i(v168) &
% 22.25/3.91 | $i(v167) & $i(v166) & $i(v165) & $i(v164) & $i(v163) & $i(v162) &
% 22.25/3.91 | $i(v161) & $i(v160) & $i(v159) & $i(v158) & $i(v157) & $i(v156) &
% 22.25/3.91 | $i(v155) & $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) &
% 22.25/3.91 | $i(v149) & $i(v148) & $i(v147) & $i(v146) & $i(v145) & $i(v144) &
% 22.25/3.91 | $i(v143) & $i(v142) & $i(v141) & $i(v140) & $i(v139) & $i(v138) &
% 22.25/3.91 | $i(v137) & $i(v136) & $i(v135) & $i(v134) & $i(v133) & $i(v132) &
% 22.25/3.91 | $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & $i(v126) &
% 22.25/3.91 | $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 22.25/3.91 | $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) &
% 22.25/3.91 | $i(v113) & $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) &
% 22.25/3.91 | $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) &
% 22.25/3.91 | $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) &
% 22.25/3.91 | $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89)
% 22.25/3.91 | & $i(v88) & $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) &
% 22.25/3.91 | $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76)
% 22.25/3.91 | & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & $i(v70) &
% 22.25/3.91 | $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63)
% 22.25/3.91 | & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 22.25/3.91 | $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50)
% 22.25/3.91 | & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 22.25/3.91 | $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37)
% 22.25/3.91 | & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 22.25/3.91 | $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24)
% 22.25/3.91 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 22.25/3.91 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 22.25/3.91 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 22.25/3.91 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v13 = e16 | v13 = e15 | v13 =
% 22.25/3.91 | e14 | v13 = e13 | v13 = e12 | v13 = e10 | v13 = e11) & (v12 = e16
% 22.25/3.91 | | v12 = e15 | v12 = e14 | v12 = e13 | v12 = e12 | v12 = e10 | v12
% 22.25/3.91 | = e11) & (v11 = e16 | v11 = e15 | v11 = e14 | v11 = e13 | v11 =
% 22.25/3.91 | e12 | v11 = e10 | v11 = e11) & (v10 = e16 | v10 = e15 | v10 = e14
% 22.25/3.91 | | v10 = e13 | v10 = e12 | v10 = e10 | v10 = e11) & (v9 = e16 | v9
% 22.25/3.91 | = e15 | v9 = e14 | v9 = e13 | v9 = e12 | v9 = e10 | v9 = e11) &
% 22.25/3.91 | (v8 = e16 | v8 = e15 | v8 = e14 | v8 = e13 | v8 = e12 | v8 = e10 |
% 22.25/3.91 | v8 = e11) & (v7 = e16 | v7 = e15 | v7 = e14 | v7 = e13 | v7 = e12
% 22.25/3.91 | | v7 = e10 | v7 = e11) & (v6 = e26 | v6 = e25 | v6 = e24 | v6 =
% 22.25/3.91 | e23 | v6 = e22 | v6 = e20 | v6 = e21) & (v5 = e26 | v5 = e25 | v5
% 22.25/3.91 | = e24 | v5 = e23 | v5 = e22 | v5 = e20 | v5 = e21) & (v4 = e26 |
% 22.25/3.91 | v4 = e25 | v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) &
% 22.25/3.91 | (v3 = e26 | v3 = e25 | v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 |
% 22.25/3.91 | v3 = e21) & (v2 = e26 | v2 = e25 | v2 = e24 | v2 = e23 | v2 = e22
% 22.25/3.91 | | v2 = e20 | v2 = e21) & (v1 = e26 | v1 = e25 | v1 = e24 | v1 =
% 22.25/3.91 | e23 | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e26 | v0 = e25 | v0
% 22.25/3.91 | = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 22.25/3.91 |
% 22.25/3.91 | ALPHA: (function-axioms) implies:
% 22.25/3.91 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 22.25/3.91 | ~ (j(v2) = v0))
% 22.25/3.91 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.25/3.91 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 22.25/3.91 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.25/3.91 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 22.25/3.91 |
% 22.25/3.91 | DELTA: instantiating (18) with fresh symbols all_4_0, all_4_1, all_4_2,
% 22.25/3.91 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 22.25/3.91 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 22.25/3.91 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 22.25/3.91 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 22.25/3.91 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 22.25/3.91 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 22.25/3.91 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 22.25/3.91 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 22.25/3.91 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 22.25/3.91 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 22.25/3.91 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 22.25/3.91 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 22.25/3.91 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 22.25/3.91 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 22.25/3.91 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106,
% 22.25/3.91 | all_4_107, all_4_108, all_4_109, all_4_110, all_4_111, all_4_112,
% 22.25/3.91 | all_4_113, all_4_114, all_4_115, all_4_116, all_4_117, all_4_118,
% 22.25/3.91 | all_4_119, all_4_120, all_4_121, all_4_122, all_4_123, all_4_124,
% 22.25/3.91 | all_4_125, all_4_126, all_4_127, all_4_128, all_4_129, all_4_130,
% 22.25/3.91 | all_4_131, all_4_132, all_4_133, all_4_134, all_4_135, all_4_136,
% 22.25/3.91 | all_4_137, all_4_138, all_4_139, all_4_140, all_4_141, all_4_142,
% 22.25/3.91 | all_4_143, all_4_144, all_4_145, all_4_146, all_4_147, all_4_148,
% 22.25/3.91 | all_4_149, all_4_150, all_4_151, all_4_152, all_4_153, all_4_154,
% 22.25/3.91 | all_4_155, all_4_156, all_4_157, all_4_158, all_4_159, all_4_160,
% 22.25/3.91 | all_4_161, all_4_162, all_4_163, all_4_164, all_4_165, all_4_166,
% 22.25/3.91 | all_4_167, all_4_168, all_4_169, all_4_170, all_4_171, all_4_172,
% 22.25/3.91 | all_4_173, all_4_174, all_4_175, all_4_176, all_4_177, all_4_178,
% 22.25/3.91 | all_4_179, all_4_180, all_4_181, all_4_182, all_4_183, all_4_184,
% 22.25/3.91 | all_4_185, all_4_186, all_4_187, all_4_188, all_4_189, all_4_190,
% 22.25/3.91 | all_4_191, all_4_192, all_4_193, all_4_194, all_4_195, all_4_196,
% 22.25/3.91 | all_4_197, all_4_198, all_4_199, all_4_200, all_4_201, all_4_202,
% 22.25/3.91 | all_4_203, all_4_204, all_4_205, all_4_206, all_4_207, all_4_208,
% 22.25/3.91 | all_4_209 gives:
% 22.25/3.93 | (22) h(all_4_99) = all_4_98 & h(all_4_101) = all_4_100 & h(all_4_103) =
% 22.25/3.93 | all_4_102 & h(all_4_105) = all_4_104 & h(all_4_107) = all_4_106 &
% 22.25/3.93 | h(all_4_109) = all_4_108 & h(all_4_111) = all_4_110 & h(all_4_113) =
% 22.25/3.93 | all_4_112 & h(all_4_115) = all_4_114 & h(all_4_117) = all_4_116 &
% 22.25/3.93 | h(all_4_119) = all_4_118 & h(all_4_121) = all_4_120 & h(all_4_123) =
% 22.25/3.93 | all_4_122 & h(all_4_125) = all_4_124 & h(all_4_127) = all_4_126 &
% 22.25/3.93 | h(all_4_129) = all_4_128 & h(all_4_131) = all_4_130 & h(all_4_133) =
% 22.25/3.93 | all_4_132 & h(all_4_135) = all_4_134 & h(all_4_137) = all_4_136 &
% 22.25/3.93 | h(all_4_139) = all_4_138 & h(all_4_141) = all_4_140 & h(all_4_143) =
% 22.25/3.93 | all_4_142 & h(all_4_145) = all_4_144 & h(all_4_147) = all_4_146 &
% 22.25/3.93 | h(all_4_149) = all_4_148 & h(all_4_151) = all_4_150 & h(all_4_153) =
% 22.25/3.93 | all_4_152 & h(all_4_155) = all_4_154 & h(all_4_157) = all_4_156 &
% 22.25/3.93 | h(all_4_159) = all_4_158 & h(all_4_161) = all_4_160 & h(all_4_163) =
% 22.25/3.93 | all_4_162 & h(all_4_165) = all_4_164 & h(all_4_167) = all_4_166 &
% 22.25/3.93 | h(all_4_169) = all_4_168 & h(all_4_171) = all_4_170 & h(all_4_173) =
% 22.25/3.93 | all_4_172 & h(all_4_175) = all_4_174 & h(all_4_177) = all_4_176 &
% 22.25/3.93 | h(all_4_179) = all_4_178 & h(all_4_181) = all_4_180 & h(all_4_183) =
% 22.25/3.93 | all_4_182 & h(all_4_185) = all_4_184 & h(all_4_187) = all_4_186 &
% 22.25/3.93 | h(all_4_189) = all_4_188 & h(all_4_191) = all_4_190 & h(all_4_193) =
% 22.25/3.93 | all_4_192 & h(all_4_195) = all_4_194 & h(all_4_196) = e26 &
% 22.25/3.93 | h(all_4_197) = e25 & h(all_4_198) = e24 & h(all_4_199) = e23 &
% 22.25/3.93 | h(all_4_200) = e22 & h(all_4_201) = e21 & h(all_4_202) = e20 & h(e16)
% 22.25/3.93 | = all_4_203 & h(e15) = all_4_204 & h(e14) = all_4_205 & h(e13) =
% 22.25/3.93 | all_4_206 & h(e12) = all_4_207 & h(e10) = all_4_209 & h(e11) =
% 22.25/3.93 | all_4_208 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) =
% 22.25/3.93 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) =
% 22.25/3.93 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 &
% 22.25/3.93 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) =
% 22.25/3.93 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 &
% 22.25/3.93 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) =
% 22.25/3.93 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 &
% 22.25/3.93 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) =
% 22.25/3.93 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 &
% 22.25/3.93 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_51) =
% 22.25/3.93 | all_4_50 & j(all_4_53) = all_4_52 & j(all_4_55) = all_4_54 &
% 22.25/3.93 | j(all_4_57) = all_4_56 & j(all_4_59) = all_4_58 & j(all_4_61) =
% 22.25/3.93 | all_4_60 & j(all_4_63) = all_4_62 & j(all_4_65) = all_4_64 &
% 22.25/3.93 | j(all_4_67) = all_4_66 & j(all_4_69) = all_4_68 & j(all_4_71) =
% 22.25/3.93 | all_4_70 & j(all_4_73) = all_4_72 & j(all_4_75) = all_4_74 &
% 22.25/3.93 | j(all_4_77) = all_4_76 & j(all_4_79) = all_4_78 & j(all_4_81) =
% 22.25/3.93 | all_4_80 & j(all_4_83) = all_4_82 & j(all_4_85) = all_4_84 &
% 22.25/3.93 | j(all_4_87) = all_4_86 & j(all_4_89) = all_4_88 & j(all_4_91) =
% 22.25/3.93 | all_4_90 & j(all_4_93) = all_4_92 & j(all_4_95) = all_4_94 &
% 22.25/3.93 | j(all_4_97) = all_4_96 & j(all_4_203) = e16 & j(all_4_204) = e15 &
% 22.25/3.93 | j(all_4_205) = e14 & j(all_4_206) = e13 & j(all_4_207) = e12 &
% 22.25/3.93 | j(all_4_208) = e11 & j(all_4_209) = e10 & j(e26) = all_4_196 & j(e25)
% 22.25/3.93 | = all_4_197 & j(e24) = all_4_198 & j(e23) = all_4_199 & j(e22) =
% 22.25/3.93 | all_4_200 & j(e20) = all_4_202 & j(e21) = all_4_201 & op2(all_4_203,
% 22.25/3.93 | all_4_203) = all_4_98 & op2(all_4_203, all_4_204) = all_4_100 &
% 22.25/3.93 | op2(all_4_203, all_4_205) = all_4_102 & op2(all_4_203, all_4_206) =
% 22.25/3.93 | all_4_104 & op2(all_4_203, all_4_207) = all_4_106 & op2(all_4_203,
% 22.25/3.93 | all_4_208) = all_4_108 & op2(all_4_203, all_4_209) = all_4_110 &
% 22.25/3.93 | op2(all_4_204, all_4_203) = all_4_112 & op2(all_4_204, all_4_204) =
% 22.25/3.93 | all_4_114 & op2(all_4_204, all_4_205) = all_4_116 & op2(all_4_204,
% 22.25/3.93 | all_4_206) = all_4_118 & op2(all_4_204, all_4_207) = all_4_120 &
% 22.25/3.93 | op2(all_4_204, all_4_208) = all_4_122 & op2(all_4_204, all_4_209) =
% 22.25/3.93 | all_4_124 & op2(all_4_205, all_4_203) = all_4_126 & op2(all_4_205,
% 22.25/3.93 | all_4_204) = all_4_128 & op2(all_4_205, all_4_205) = all_4_130 &
% 22.25/3.93 | op2(all_4_205, all_4_206) = all_4_132 & op2(all_4_205, all_4_207) =
% 22.25/3.93 | all_4_134 & op2(all_4_205, all_4_208) = all_4_136 & op2(all_4_205,
% 22.25/3.93 | all_4_209) = all_4_138 & op2(all_4_206, all_4_203) = all_4_140 &
% 22.25/3.93 | op2(all_4_206, all_4_204) = all_4_142 & op2(all_4_206, all_4_205) =
% 22.25/3.93 | all_4_144 & op2(all_4_206, all_4_206) = all_4_146 & op2(all_4_206,
% 22.25/3.93 | all_4_207) = all_4_148 & op2(all_4_206, all_4_208) = all_4_150 &
% 22.25/3.93 | op2(all_4_206, all_4_209) = all_4_152 & op2(all_4_207, all_4_203) =
% 22.25/3.93 | all_4_154 & op2(all_4_207, all_4_204) = all_4_156 & op2(all_4_207,
% 22.25/3.93 | all_4_205) = all_4_158 & op2(all_4_207, all_4_206) = all_4_160 &
% 22.25/3.93 | op2(all_4_207, all_4_207) = all_4_162 & op2(all_4_207, all_4_208) =
% 22.25/3.93 | all_4_164 & op2(all_4_207, all_4_209) = all_4_166 & op2(all_4_208,
% 22.25/3.93 | all_4_203) = all_4_168 & op2(all_4_208, all_4_204) = all_4_170 &
% 22.25/3.93 | op2(all_4_208, all_4_205) = all_4_172 & op2(all_4_208, all_4_206) =
% 22.25/3.93 | all_4_174 & op2(all_4_208, all_4_207) = all_4_176 & op2(all_4_208,
% 22.25/3.93 | all_4_208) = all_4_178 & op2(all_4_208, all_4_209) = all_4_180 &
% 22.25/3.93 | op2(all_4_209, all_4_203) = all_4_182 & op2(all_4_209, all_4_204) =
% 22.25/3.93 | all_4_184 & op2(all_4_209, all_4_205) = all_4_186 & op2(all_4_209,
% 22.25/3.93 | all_4_206) = all_4_188 & op2(all_4_209, all_4_207) = all_4_190 &
% 22.25/3.93 | op2(all_4_209, all_4_208) = all_4_192 & op2(all_4_209, all_4_209) =
% 22.25/3.93 | all_4_194 & op2(e26, e26) = all_4_1 & op2(e26, e25) = all_4_3 &
% 22.25/3.93 | op2(e26, e24) = all_4_5 & op2(e26, e23) = all_4_7 & op2(e26, e22) =
% 22.25/3.93 | all_4_9 & op2(e26, e20) = all_4_13 & op2(e26, e21) = all_4_11 &
% 22.25/3.93 | op2(e25, e26) = all_4_15 & op2(e25, e25) = all_4_17 & op2(e25, e24) =
% 22.25/3.93 | all_4_19 & op2(e25, e23) = all_4_21 & op2(e25, e22) = all_4_23 &
% 22.25/3.93 | op2(e25, e20) = all_4_27 & op2(e25, e21) = all_4_25 & op2(e24, e26) =
% 22.25/3.93 | all_4_29 & op2(e24, e25) = all_4_31 & op2(e24, e24) = all_4_33 &
% 22.25/3.93 | op2(e24, e23) = all_4_35 & op2(e24, e22) = all_4_37 & op2(e24, e20) =
% 22.25/3.93 | all_4_41 & op2(e24, e21) = all_4_39 & op2(e23, e26) = all_4_43 &
% 22.25/3.93 | op2(e23, e25) = all_4_45 & op2(e23, e24) = all_4_47 & op2(e23, e23) =
% 22.25/3.93 | all_4_49 & op2(e23, e22) = all_4_51 & op2(e23, e20) = all_4_55 &
% 22.25/3.93 | op2(e23, e21) = all_4_53 & op2(e22, e26) = all_4_57 & op2(e22, e25) =
% 22.25/3.93 | all_4_59 & op2(e22, e24) = all_4_61 & op2(e22, e23) = all_4_63 &
% 22.25/3.93 | op2(e22, e22) = all_4_65 & op2(e22, e20) = all_4_69 & op2(e22, e21) =
% 22.25/3.93 | all_4_67 & op2(e20, e26) = all_4_85 & op2(e20, e25) = all_4_87 &
% 22.25/3.93 | op2(e20, e24) = all_4_89 & op2(e20, e23) = all_4_91 & op2(e20, e22) =
% 22.25/3.93 | all_4_93 & op2(e20, e20) = all_4_97 & op2(e20, e21) = all_4_95 &
% 22.25/3.93 | op2(e21, e26) = all_4_71 & op2(e21, e25) = all_4_73 & op2(e21, e24) =
% 22.25/3.93 | all_4_75 & op2(e21, e23) = all_4_77 & op2(e21, e22) = all_4_79 &
% 22.25/3.93 | op2(e21, e20) = all_4_83 & op2(e21, e21) = all_4_81 & op1(all_4_196,
% 22.25/3.93 | all_4_196) = all_4_0 & op1(all_4_196, all_4_197) = all_4_2 &
% 22.25/3.93 | op1(all_4_196, all_4_198) = all_4_4 & op1(all_4_196, all_4_199) =
% 22.25/3.93 | all_4_6 & op1(all_4_196, all_4_200) = all_4_8 & op1(all_4_196,
% 22.25/3.93 | all_4_201) = all_4_10 & op1(all_4_196, all_4_202) = all_4_12 &
% 22.25/3.93 | op1(all_4_197, all_4_196) = all_4_14 & op1(all_4_197, all_4_197) =
% 22.25/3.93 | all_4_16 & op1(all_4_197, all_4_198) = all_4_18 & op1(all_4_197,
% 22.25/3.93 | all_4_199) = all_4_20 & op1(all_4_197, all_4_200) = all_4_22 &
% 22.25/3.93 | op1(all_4_197, all_4_201) = all_4_24 & op1(all_4_197, all_4_202) =
% 22.25/3.93 | all_4_26 & op1(all_4_198, all_4_196) = all_4_28 & op1(all_4_198,
% 22.25/3.93 | all_4_197) = all_4_30 & op1(all_4_198, all_4_198) = all_4_32 &
% 22.25/3.93 | op1(all_4_198, all_4_199) = all_4_34 & op1(all_4_198, all_4_200) =
% 22.25/3.93 | all_4_36 & op1(all_4_198, all_4_201) = all_4_38 & op1(all_4_198,
% 22.25/3.93 | all_4_202) = all_4_40 & op1(all_4_199, all_4_196) = all_4_42 &
% 22.25/3.93 | op1(all_4_199, all_4_197) = all_4_44 & op1(all_4_199, all_4_198) =
% 22.25/3.93 | all_4_46 & op1(all_4_199, all_4_199) = all_4_48 & op1(all_4_199,
% 22.25/3.93 | all_4_200) = all_4_50 & op1(all_4_199, all_4_201) = all_4_52 &
% 22.25/3.93 | op1(all_4_199, all_4_202) = all_4_54 & op1(all_4_200, all_4_196) =
% 22.25/3.93 | all_4_56 & op1(all_4_200, all_4_197) = all_4_58 & op1(all_4_200,
% 22.25/3.93 | all_4_198) = all_4_60 & op1(all_4_200, all_4_199) = all_4_62 &
% 22.25/3.93 | op1(all_4_200, all_4_200) = all_4_64 & op1(all_4_200, all_4_201) =
% 22.25/3.93 | all_4_66 & op1(all_4_200, all_4_202) = all_4_68 & op1(all_4_201,
% 22.25/3.93 | all_4_196) = all_4_70 & op1(all_4_201, all_4_197) = all_4_72 &
% 22.25/3.93 | op1(all_4_201, all_4_198) = all_4_74 & op1(all_4_201, all_4_199) =
% 22.25/3.93 | all_4_76 & op1(all_4_201, all_4_200) = all_4_78 & op1(all_4_201,
% 22.25/3.93 | all_4_201) = all_4_80 & op1(all_4_201, all_4_202) = all_4_82 &
% 22.25/3.93 | op1(all_4_202, all_4_196) = all_4_84 & op1(all_4_202, all_4_197) =
% 22.25/3.93 | all_4_86 & op1(all_4_202, all_4_198) = all_4_88 & op1(all_4_202,
% 22.25/3.93 | all_4_199) = all_4_90 & op1(all_4_202, all_4_200) = all_4_92 &
% 22.25/3.93 | op1(all_4_202, all_4_201) = all_4_94 & op1(all_4_202, all_4_202) =
% 22.25/3.93 | all_4_96 & op1(e16, e16) = all_4_99 & op1(e16, e15) = all_4_101 &
% 22.25/3.93 | op1(e16, e14) = all_4_103 & op1(e16, e13) = all_4_105 & op1(e16, e12)
% 22.25/3.93 | = all_4_107 & op1(e16, e10) = all_4_111 & op1(e16, e11) = all_4_109 &
% 22.25/3.93 | op1(e15, e16) = all_4_113 & op1(e15, e15) = all_4_115 & op1(e15, e14)
% 22.25/3.93 | = all_4_117 & op1(e15, e13) = all_4_119 & op1(e15, e12) = all_4_121 &
% 22.25/3.93 | op1(e15, e10) = all_4_125 & op1(e15, e11) = all_4_123 & op1(e14, e16)
% 22.25/3.93 | = all_4_127 & op1(e14, e15) = all_4_129 & op1(e14, e14) = all_4_131 &
% 22.25/3.93 | op1(e14, e13) = all_4_133 & op1(e14, e12) = all_4_135 & op1(e14, e10)
% 22.25/3.93 | = all_4_139 & op1(e14, e11) = all_4_137 & op1(e13, e16) = all_4_141 &
% 22.25/3.93 | op1(e13, e15) = all_4_143 & op1(e13, e14) = all_4_145 & op1(e13, e13)
% 22.25/3.93 | = all_4_147 & op1(e13, e12) = all_4_149 & op1(e13, e10) = all_4_153 &
% 22.25/3.93 | op1(e13, e11) = all_4_151 & op1(e12, e16) = all_4_155 & op1(e12, e15)
% 22.25/3.93 | = all_4_157 & op1(e12, e14) = all_4_159 & op1(e12, e13) = all_4_161 &
% 22.25/3.93 | op1(e12, e12) = all_4_163 & op1(e12, e10) = all_4_167 & op1(e12, e11)
% 22.25/3.93 | = all_4_165 & op1(e10, e16) = all_4_183 & op1(e10, e15) = all_4_185 &
% 22.25/3.93 | op1(e10, e14) = all_4_187 & op1(e10, e13) = all_4_189 & op1(e10, e12)
% 22.25/3.93 | = all_4_191 & op1(e10, e10) = all_4_195 & op1(e10, e11) = all_4_193 &
% 22.25/3.93 | op1(e11, e16) = all_4_169 & op1(e11, e15) = all_4_171 & op1(e11, e14)
% 22.25/3.93 | = all_4_173 & op1(e11, e13) = all_4_175 & op1(e11, e12) = all_4_177 &
% 22.25/3.93 | op1(e11, e10) = all_4_181 & op1(e11, e11) = all_4_179 & $i(all_4_0) &
% 22.25/3.93 | $i(all_4_1) & $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) &
% 22.25/3.93 | $i(all_4_6) & $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) &
% 22.25/3.93 | $i(all_4_11) & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) &
% 22.25/3.93 | $i(all_4_15) & $i(all_4_16) & $i(all_4_17) & $i(all_4_18) &
% 22.25/3.93 | $i(all_4_19) & $i(all_4_20) & $i(all_4_21) & $i(all_4_22) &
% 22.25/3.93 | $i(all_4_23) & $i(all_4_24) & $i(all_4_25) & $i(all_4_26) &
% 22.25/3.93 | $i(all_4_27) & $i(all_4_28) & $i(all_4_29) & $i(all_4_30) &
% 22.25/3.93 | $i(all_4_31) & $i(all_4_32) & $i(all_4_33) & $i(all_4_34) &
% 22.25/3.93 | $i(all_4_35) & $i(all_4_36) & $i(all_4_37) & $i(all_4_38) &
% 22.25/3.93 | $i(all_4_39) & $i(all_4_40) & $i(all_4_41) & $i(all_4_42) &
% 22.25/3.93 | $i(all_4_43) & $i(all_4_44) & $i(all_4_45) & $i(all_4_46) &
% 22.25/3.93 | $i(all_4_47) & $i(all_4_48) & $i(all_4_49) & $i(all_4_50) &
% 22.25/3.93 | $i(all_4_51) & $i(all_4_52) & $i(all_4_53) & $i(all_4_54) &
% 22.25/3.93 | $i(all_4_55) & $i(all_4_56) & $i(all_4_57) & $i(all_4_58) &
% 22.25/3.93 | $i(all_4_59) & $i(all_4_60) & $i(all_4_61) & $i(all_4_62) &
% 22.25/3.93 | $i(all_4_63) & $i(all_4_64) & $i(all_4_65) & $i(all_4_66) &
% 22.25/3.93 | $i(all_4_67) & $i(all_4_68) & $i(all_4_69) & $i(all_4_70) &
% 22.25/3.93 | $i(all_4_71) & $i(all_4_72) & $i(all_4_73) & $i(all_4_74) &
% 22.25/3.93 | $i(all_4_75) & $i(all_4_76) & $i(all_4_77) & $i(all_4_78) &
% 22.25/3.93 | $i(all_4_79) & $i(all_4_80) & $i(all_4_81) & $i(all_4_82) &
% 22.25/3.93 | $i(all_4_83) & $i(all_4_84) & $i(all_4_85) & $i(all_4_86) &
% 22.25/3.93 | $i(all_4_87) & $i(all_4_88) & $i(all_4_89) & $i(all_4_90) &
% 22.25/3.93 | $i(all_4_91) & $i(all_4_92) & $i(all_4_93) & $i(all_4_94) &
% 22.25/3.93 | $i(all_4_95) & $i(all_4_96) & $i(all_4_97) & $i(all_4_98) &
% 22.25/3.93 | $i(all_4_99) & $i(all_4_100) & $i(all_4_101) & $i(all_4_102) &
% 22.25/3.93 | $i(all_4_103) & $i(all_4_104) & $i(all_4_105) & $i(all_4_106) &
% 22.25/3.93 | $i(all_4_107) & $i(all_4_108) & $i(all_4_109) & $i(all_4_110) &
% 22.25/3.93 | $i(all_4_111) & $i(all_4_112) & $i(all_4_113) & $i(all_4_114) &
% 22.25/3.93 | $i(all_4_115) & $i(all_4_116) & $i(all_4_117) & $i(all_4_118) &
% 22.25/3.93 | $i(all_4_119) & $i(all_4_120) & $i(all_4_121) & $i(all_4_122) &
% 22.25/3.93 | $i(all_4_123) & $i(all_4_124) & $i(all_4_125) & $i(all_4_126) &
% 22.25/3.93 | $i(all_4_127) & $i(all_4_128) & $i(all_4_129) & $i(all_4_130) &
% 22.25/3.93 | $i(all_4_131) & $i(all_4_132) & $i(all_4_133) & $i(all_4_134) &
% 22.25/3.93 | $i(all_4_135) & $i(all_4_136) & $i(all_4_137) & $i(all_4_138) &
% 22.25/3.93 | $i(all_4_139) & $i(all_4_140) & $i(all_4_141) & $i(all_4_142) &
% 22.25/3.93 | $i(all_4_143) & $i(all_4_144) & $i(all_4_145) & $i(all_4_146) &
% 22.25/3.93 | $i(all_4_147) & $i(all_4_148) & $i(all_4_149) & $i(all_4_150) &
% 22.25/3.93 | $i(all_4_151) & $i(all_4_152) & $i(all_4_153) & $i(all_4_154) &
% 22.25/3.93 | $i(all_4_155) & $i(all_4_156) & $i(all_4_157) & $i(all_4_158) &
% 22.25/3.93 | $i(all_4_159) & $i(all_4_160) & $i(all_4_161) & $i(all_4_162) &
% 22.25/3.93 | $i(all_4_163) & $i(all_4_164) & $i(all_4_165) & $i(all_4_166) &
% 22.25/3.93 | $i(all_4_167) & $i(all_4_168) & $i(all_4_169) & $i(all_4_170) &
% 22.25/3.93 | $i(all_4_171) & $i(all_4_172) & $i(all_4_173) & $i(all_4_174) &
% 22.25/3.93 | $i(all_4_175) & $i(all_4_176) & $i(all_4_177) & $i(all_4_178) &
% 22.25/3.93 | $i(all_4_179) & $i(all_4_180) & $i(all_4_181) & $i(all_4_182) &
% 22.25/3.93 | $i(all_4_183) & $i(all_4_184) & $i(all_4_185) & $i(all_4_186) &
% 22.25/3.93 | $i(all_4_187) & $i(all_4_188) & $i(all_4_189) & $i(all_4_190) &
% 22.25/3.93 | $i(all_4_191) & $i(all_4_192) & $i(all_4_193) & $i(all_4_194) &
% 22.25/3.93 | $i(all_4_195) & $i(all_4_196) & $i(all_4_197) & $i(all_4_198) &
% 22.25/3.93 | $i(all_4_199) & $i(all_4_200) & $i(all_4_201) & $i(all_4_202) &
% 22.25/3.93 | $i(all_4_203) & $i(all_4_204) & $i(all_4_205) & $i(all_4_206) &
% 22.25/3.93 | $i(all_4_207) & $i(all_4_208) & $i(all_4_209) & (all_4_196 = e16 |
% 22.25/3.93 | all_4_196 = e15 | all_4_196 = e14 | all_4_196 = e13 | all_4_196 =
% 22.25/3.93 | e12 | all_4_196 = e10 | all_4_196 = e11) & (all_4_197 = e16 |
% 22.25/3.93 | all_4_197 = e15 | all_4_197 = e14 | all_4_197 = e13 | all_4_197 =
% 22.25/3.93 | e12 | all_4_197 = e10 | all_4_197 = e11) & (all_4_198 = e16 |
% 22.25/3.93 | all_4_198 = e15 | all_4_198 = e14 | all_4_198 = e13 | all_4_198 =
% 22.25/3.93 | e12 | all_4_198 = e10 | all_4_198 = e11) & (all_4_199 = e16 |
% 22.25/3.93 | all_4_199 = e15 | all_4_199 = e14 | all_4_199 = e13 | all_4_199 =
% 22.25/3.93 | e12 | all_4_199 = e10 | all_4_199 = e11) & (all_4_200 = e16 |
% 22.25/3.93 | all_4_200 = e15 | all_4_200 = e14 | all_4_200 = e13 | all_4_200 =
% 22.25/3.93 | e12 | all_4_200 = e10 | all_4_200 = e11) & (all_4_201 = e16 |
% 22.25/3.93 | all_4_201 = e15 | all_4_201 = e14 | all_4_201 = e13 | all_4_201 =
% 22.25/3.93 | e12 | all_4_201 = e10 | all_4_201 = e11) & (all_4_202 = e16 |
% 22.25/3.93 | all_4_202 = e15 | all_4_202 = e14 | all_4_202 = e13 | all_4_202 =
% 22.25/3.93 | e12 | all_4_202 = e10 | all_4_202 = e11) & (all_4_203 = e26 |
% 22.25/3.93 | all_4_203 = e25 | all_4_203 = e24 | all_4_203 = e23 | all_4_203 =
% 22.25/3.93 | e22 | all_4_203 = e20 | all_4_203 = e21) & (all_4_204 = e26 |
% 22.25/3.93 | all_4_204 = e25 | all_4_204 = e24 | all_4_204 = e23 | all_4_204 =
% 22.25/3.93 | e22 | all_4_204 = e20 | all_4_204 = e21) & (all_4_205 = e26 |
% 22.25/3.93 | all_4_205 = e25 | all_4_205 = e24 | all_4_205 = e23 | all_4_205 =
% 22.25/3.93 | e22 | all_4_205 = e20 | all_4_205 = e21) & (all_4_206 = e26 |
% 22.25/3.93 | all_4_206 = e25 | all_4_206 = e24 | all_4_206 = e23 | all_4_206 =
% 22.25/3.93 | e22 | all_4_206 = e20 | all_4_206 = e21) & (all_4_207 = e26 |
% 22.25/3.93 | all_4_207 = e25 | all_4_207 = e24 | all_4_207 = e23 | all_4_207 =
% 22.25/3.93 | e22 | all_4_207 = e20 | all_4_207 = e21) & (all_4_208 = e26 |
% 22.25/3.93 | all_4_208 = e25 | all_4_208 = e24 | all_4_208 = e23 | all_4_208 =
% 22.25/3.93 | e22 | all_4_208 = e20 | all_4_208 = e21) & (all_4_209 = e26 |
% 22.25/3.93 | all_4_209 = e25 | all_4_209 = e24 | all_4_209 = e23 | all_4_209 =
% 22.25/3.93 | e22 | all_4_209 = e20 | all_4_209 = e21)
% 22.25/3.93 |
% 22.25/3.93 | ALPHA: (22) implies:
% 22.25/3.93 | (23) op1(e11, e11) = all_4_179
% 22.25/3.93 | (24) op1(e10, e10) = all_4_195
% 22.25/3.93 | (25) op1(e12, e12) = all_4_163
% 22.25/3.93 | (26) op1(e13, e13) = all_4_147
% 22.25/3.93 | (27) op1(e14, e14) = all_4_131
% 22.25/3.93 | (28) op1(e15, e15) = all_4_115
% 22.25/3.93 | (29) op1(e16, e16) = all_4_99
% 22.25/3.93 | (30) op1(all_4_202, all_4_202) = all_4_96
% 22.25/3.93 | (31) op2(e21, e25) = all_4_73
% 22.25/3.93 | (32) op2(e20, e20) = all_4_97
% 22.25/3.93 | (33) op2(e22, e26) = all_4_57
% 22.25/3.93 | (34) op2(e23, e24) = all_4_47
% 22.25/3.93 | (35) op2(e24, e23) = all_4_35
% 22.25/3.93 | (36) op2(e25, e21) = all_4_25
% 22.25/3.93 | (37) op2(e26, e22) = all_4_9
% 22.25/3.93 | (38) j(e20) = all_4_202
% 22.25/3.93 | (39) j(all_4_97) = all_4_96
% 22.25/3.93 | (40) j(all_4_73) = all_4_72
% 22.25/3.93 | (41) j(all_4_57) = all_4_56
% 22.25/3.93 | (42) j(all_4_47) = all_4_46
% 22.25/3.93 | (43) j(all_4_35) = all_4_34
% 22.25/3.93 | (44) j(all_4_25) = all_4_24
% 22.25/3.93 | (45) j(all_4_9) = all_4_8
% 22.25/3.93 | (46) all_4_202 = e16 | all_4_202 = e15 | all_4_202 = e14 | all_4_202 = e13
% 22.25/3.93 | | all_4_202 = e12 | all_4_202 = e10 | all_4_202 = e11
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e16, all_4_179, e11, e11, simplifying
% 22.25/3.93 | with (4), (23) gives:
% 22.25/3.93 | (47) all_4_179 = e16
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e13, all_4_195, e10, e10, simplifying
% 22.25/3.93 | with (5), (24) gives:
% 22.25/3.93 | (48) all_4_195 = e13
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e15, all_4_163, e12, e12, simplifying
% 22.25/3.93 | with (6), (25) gives:
% 22.25/3.93 | (49) all_4_163 = e15
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e14, all_4_147, e13, e13, simplifying
% 22.25/3.93 | with (7), (26) gives:
% 22.25/3.93 | (50) all_4_147 = e14
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e12, all_4_131, e14, e14, simplifying
% 22.25/3.93 | with (8), (27) gives:
% 22.25/3.93 | (51) all_4_131 = e12
% 22.25/3.93 |
% 22.25/3.93 | GROUND_INST: instantiating (20) with e11, all_4_115, e15, e15, simplifying
% 22.25/3.93 | with (9), (28) gives:
% 22.25/3.94 | (52) all_4_115 = e11
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (20) with e10, all_4_99, e16, e16, simplifying with
% 22.25/3.94 | (10), (29) gives:
% 22.25/3.94 | (53) all_4_99 = e10
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_73, e25, e21, simplifying with
% 22.25/3.94 | (11), (31) gives:
% 22.25/3.94 | (54) all_4_73 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_97, e20, e20, simplifying with
% 22.25/3.94 | (12), (32) gives:
% 22.25/3.94 | (55) all_4_97 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_57, e26, e22, simplifying with
% 22.25/3.94 | (13), (33) gives:
% 22.25/3.94 | (56) all_4_57 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_47, e24, e23, simplifying with
% 22.25/3.94 | (14), (34) gives:
% 22.25/3.94 | (57) all_4_47 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_35, e23, e24, simplifying with
% 22.25/3.94 | (15), (35) gives:
% 22.25/3.94 | (58) all_4_35 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_25, e21, e25, simplifying with
% 22.25/3.94 | (16), (36) gives:
% 22.25/3.94 | (59) all_4_25 = e20
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (21) with e20, all_4_9, e22, e26, simplifying with
% 22.25/3.94 | (17), (37) gives:
% 22.25/3.94 | (60) all_4_9 = e20
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (45), (60) imply:
% 22.25/3.94 | (61) j(e20) = all_4_8
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (44), (59) imply:
% 22.25/3.94 | (62) j(e20) = all_4_24
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (43), (58) imply:
% 22.25/3.94 | (63) j(e20) = all_4_34
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (42), (57) imply:
% 22.25/3.94 | (64) j(e20) = all_4_46
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (41), (56) imply:
% 22.25/3.94 | (65) j(e20) = all_4_56
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (40), (54) imply:
% 22.25/3.94 | (66) j(e20) = all_4_72
% 22.25/3.94 |
% 22.25/3.94 | REDUCE: (39), (55) imply:
% 22.25/3.94 | (67) j(e20) = all_4_96
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_202, all_4_46, e20, simplifying
% 22.25/3.94 | with (38), (64) gives:
% 22.25/3.94 | (68) all_4_46 = all_4_202
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_72, all_4_34, e20, simplifying with
% 22.25/3.94 | (63), (66) gives:
% 22.25/3.94 | (69) all_4_34 = all_4_72
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_46, all_4_24, e20, simplifying with
% 22.25/3.94 | (62), (64) gives:
% 22.25/3.94 | (70) all_4_24 = all_4_46
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_56, all_4_24, e20, simplifying with
% 22.25/3.94 | (62), (65) gives:
% 22.25/3.94 | (71) all_4_24 = all_4_56
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_72, all_4_24, e20, simplifying with
% 22.25/3.94 | (62), (66) gives:
% 22.25/3.94 | (72) all_4_24 = all_4_72
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_34, all_4_8, e20, simplifying with
% 22.25/3.94 | (61), (63) gives:
% 22.25/3.94 | (73) all_4_8 = all_4_34
% 22.25/3.94 |
% 22.25/3.94 | GROUND_INST: instantiating (19) with all_4_96, all_4_8, e20, simplifying with
% 22.25/3.94 | (61), (67) gives:
% 22.25/3.94 | (74) all_4_8 = all_4_96
% 22.25/3.94 |
% 22.25/3.94 | COMBINE_EQS: (73), (74) imply:
% 22.25/3.94 | (75) all_4_34 = all_4_96
% 22.25/3.94 |
% 22.25/3.94 | SIMP: (75) implies:
% 22.64/3.94 | (76) all_4_34 = all_4_96
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (71), (72) imply:
% 22.64/3.94 | (77) all_4_56 = all_4_72
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (70), (71) imply:
% 22.64/3.94 | (78) all_4_46 = all_4_56
% 22.64/3.94 |
% 22.64/3.94 | SIMP: (78) implies:
% 22.64/3.94 | (79) all_4_46 = all_4_56
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (69), (76) imply:
% 22.64/3.94 | (80) all_4_72 = all_4_96
% 22.64/3.94 |
% 22.64/3.94 | SIMP: (80) implies:
% 22.64/3.94 | (81) all_4_72 = all_4_96
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (68), (79) imply:
% 22.64/3.94 | (82) all_4_56 = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | SIMP: (82) implies:
% 22.64/3.94 | (83) all_4_56 = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (77), (83) imply:
% 22.64/3.94 | (84) all_4_72 = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | SIMP: (84) implies:
% 22.64/3.94 | (85) all_4_72 = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | COMBINE_EQS: (81), (85) imply:
% 22.64/3.94 | (86) all_4_96 = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | REDUCE: (30), (86) imply:
% 22.64/3.94 | (87) op1(all_4_202, all_4_202) = all_4_202
% 22.64/3.94 |
% 22.64/3.94 | BETA: splitting (46) gives:
% 22.64/3.94 |
% 22.64/3.94 | Case 1:
% 22.64/3.94 | |
% 22.64/3.94 | | (88) all_4_202 = e16
% 22.64/3.94 | |
% 22.64/3.94 | | REDUCE: (87), (88) imply:
% 22.64/3.94 | | (89) op1(e16, e16) = e16
% 22.64/3.94 | |
% 22.64/3.94 | | GROUND_INST: instantiating (20) with e10, e16, e16, e16, simplifying with
% 22.64/3.94 | | (10), (89) gives:
% 22.64/3.94 | | (90) e16 = e10
% 22.64/3.94 | |
% 22.64/3.94 | | REDUCE: (3), (90) imply:
% 22.64/3.94 | | (91) $false
% 22.64/3.94 | |
% 22.64/3.94 | | CLOSE: (91) is inconsistent.
% 22.64/3.94 | |
% 22.64/3.94 | Case 2:
% 22.64/3.94 | |
% 22.64/3.94 | | (92) ~ (all_4_202 = e16)
% 22.64/3.94 | | (93) all_4_202 = e15 | all_4_202 = e14 | all_4_202 = e13 | all_4_202 =
% 22.64/3.94 | | e12 | all_4_202 = e10 | all_4_202 = e11
% 22.64/3.94 | |
% 22.64/3.94 | | BETA: splitting (93) gives:
% 22.64/3.94 | |
% 22.64/3.94 | | Case 1:
% 22.64/3.94 | | |
% 22.64/3.95 | | | (94) all_4_202 = e15
% 22.64/3.95 | | |
% 22.64/3.95 | | | REDUCE: (87), (94) imply:
% 22.64/3.95 | | | (95) op1(e15, e15) = e15
% 22.64/3.95 | | |
% 22.64/3.95 | | | GROUND_INST: instantiating (20) with e11, e15, e15, e15, simplifying with
% 22.64/3.95 | | | (9), (95) gives:
% 22.64/3.95 | | | (96) e15 = e11
% 22.64/3.95 | | |
% 22.64/3.95 | | | REDUCE: (2), (96) imply:
% 22.64/3.95 | | | (97) $false
% 22.64/3.95 | | |
% 22.64/3.95 | | | CLOSE: (97) is inconsistent.
% 22.64/3.95 | | |
% 22.64/3.95 | | Case 2:
% 22.64/3.95 | | |
% 22.64/3.95 | | | (98) ~ (all_4_202 = e15)
% 22.64/3.95 | | | (99) all_4_202 = e14 | all_4_202 = e13 | all_4_202 = e12 | all_4_202 =
% 22.64/3.95 | | | e10 | all_4_202 = e11
% 22.64/3.95 | | |
% 22.64/3.95 | | | BETA: splitting (99) gives:
% 22.64/3.95 | | |
% 22.64/3.95 | | | Case 1:
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | (100) all_4_202 = e14
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | REDUCE: (87), (100) imply:
% 22.64/3.95 | | | | (101) op1(e14, e14) = e14
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | GROUND_INST: instantiating (20) with e12, e14, e14, e14, simplifying
% 22.64/3.95 | | | | with (8), (101) gives:
% 22.64/3.95 | | | | (102) e14 = e12
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | REDUCE: (1), (102) imply:
% 22.64/3.95 | | | | (103) $false
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | CLOSE: (103) is inconsistent.
% 22.64/3.95 | | | |
% 22.64/3.95 | | | Case 2:
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | (104) ~ (all_4_202 = e14)
% 22.64/3.95 | | | | (105) all_4_202 = e13 | all_4_202 = e12 | all_4_202 = e10 | all_4_202
% 22.64/3.95 | | | | = e11
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | BETA: splitting (105) gives:
% 22.64/3.95 | | | |
% 22.64/3.95 | | | | Case 1:
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | (106) all_4_202 = e13
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | REDUCE: (104), (106) imply:
% 22.64/3.95 | | | | | (107) ~ (e14 = e13)
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | SIMP: (107) implies:
% 22.64/3.95 | | | | | (108) ~ (e14 = e13)
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | REDUCE: (87), (106) imply:
% 22.64/3.95 | | | | | (109) op1(e13, e13) = e13
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | GROUND_INST: instantiating (20) with e14, e13, e13, e13, simplifying
% 22.64/3.95 | | | | | with (7), (109) gives:
% 22.64/3.95 | | | | | (110) e14 = e13
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | REDUCE: (108), (110) imply:
% 22.64/3.95 | | | | | (111) $false
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | CLOSE: (111) is inconsistent.
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | Case 2:
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | (112) ~ (all_4_202 = e13)
% 22.64/3.95 | | | | | (113) all_4_202 = e12 | all_4_202 = e10 | all_4_202 = e11
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | BETA: splitting (113) gives:
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | | Case 1:
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | (114) all_4_202 = e12
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | REDUCE: (98), (114) imply:
% 22.64/3.95 | | | | | | (115) ~ (e15 = e12)
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | SIMP: (115) implies:
% 22.64/3.95 | | | | | | (116) ~ (e15 = e12)
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | REDUCE: (87), (114) imply:
% 22.64/3.95 | | | | | | (117) op1(e12, e12) = e12
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | GROUND_INST: instantiating (20) with e15, e12, e12, e12, simplifying
% 22.64/3.95 | | | | | | with (6), (117) gives:
% 22.64/3.95 | | | | | | (118) e15 = e12
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | REDUCE: (116), (118) imply:
% 22.64/3.95 | | | | | | (119) $false
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | CLOSE: (119) is inconsistent.
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | Case 2:
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | (120) all_4_202 = e10 | all_4_202 = e11
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | BETA: splitting (120) gives:
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | | Case 1:
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | (121) all_4_202 = e10
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (112), (121) imply:
% 22.64/3.95 | | | | | | | (122) ~ (e13 = e10)
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | SIMP: (122) implies:
% 22.64/3.95 | | | | | | | (123) ~ (e13 = e10)
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (87), (121) imply:
% 22.64/3.95 | | | | | | | (124) op1(e10, e10) = e10
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | GROUND_INST: instantiating (20) with e13, e10, e10, e10,
% 22.64/3.95 | | | | | | | simplifying with (5), (124) gives:
% 22.64/3.95 | | | | | | | (125) e13 = e10
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (123), (125) imply:
% 22.64/3.95 | | | | | | | (126) $false
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | CLOSE: (126) is inconsistent.
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | Case 2:
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | (127) all_4_202 = e11
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (92), (127) imply:
% 22.64/3.95 | | | | | | | (128) ~ (e16 = e11)
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | SIMP: (128) implies:
% 22.64/3.95 | | | | | | | (129) ~ (e16 = e11)
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (87), (127) imply:
% 22.64/3.95 | | | | | | | (130) op1(e11, e11) = e11
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | GROUND_INST: instantiating (20) with e16, e11, e11, e11,
% 22.64/3.95 | | | | | | | simplifying with (4), (130) gives:
% 22.64/3.95 | | | | | | | (131) e16 = e11
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | REDUCE: (129), (131) imply:
% 22.64/3.95 | | | | | | | (132) $false
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | | CLOSE: (132) is inconsistent.
% 22.64/3.95 | | | | | | |
% 22.64/3.95 | | | | | | End of split
% 22.64/3.95 | | | | | |
% 22.64/3.95 | | | | | End of split
% 22.64/3.95 | | | | |
% 22.64/3.95 | | | | End of split
% 22.64/3.95 | | | |
% 22.64/3.95 | | | End of split
% 22.64/3.95 | | |
% 22.64/3.95 | | End of split
% 22.64/3.95 | |
% 22.64/3.95 | End of split
% 22.64/3.95 |
% 22.64/3.95 End of proof
% 22.64/3.95 % SZS output end Proof for theBenchmark
% 22.64/3.95
% 22.64/3.95 3351ms
%------------------------------------------------------------------------------