TSTP Solution File: ALG031+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG031+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 : n023.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 16:35:45 EDT 2023
% Result : Theorem 14.78s 2.67s
% Output : Proof 25.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:00:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.41/0.61 ________ _____
% 0.41/0.61 ___ __ \_________(_)________________________________
% 0.41/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.41/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.41/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.41/0.61
% 0.41/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.41/0.61 (2023-06-19)
% 0.41/0.61
% 0.41/0.61 (c) Philipp Rümmer, 2009-2023
% 0.41/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.41/0.61 Amanda Stjerna.
% 0.41/0.61 Free software under BSD-3-Clause.
% 0.41/0.61
% 0.41/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.41/0.61
% 0.41/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.63 Running up to 7 provers in parallel.
% 0.66/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.66/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.66/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.66/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.66/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.66/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.66/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.50/1.21 Prover 1: Preprocessing ...
% 3.50/1.22 Prover 4: Preprocessing ...
% 4.12/1.25 Prover 2: Preprocessing ...
% 4.12/1.25 Prover 3: Preprocessing ...
% 4.12/1.25 Prover 0: Preprocessing ...
% 4.12/1.25 Prover 6: Preprocessing ...
% 4.12/1.25 Prover 5: Preprocessing ...
% 7.55/1.70 Prover 4: Constructing countermodel ...
% 7.55/1.71 Prover 1: Constructing countermodel ...
% 7.55/1.71 Prover 3: Constructing countermodel ...
% 7.55/1.71 Prover 6: Constructing countermodel ...
% 7.55/1.72 Prover 2: Constructing countermodel ...
% 7.55/1.72 Prover 0: Constructing countermodel ...
% 10.71/2.13 Prover 5: Constructing countermodel ...
% 14.78/2.66 Prover 0: proved (2027ms)
% 14.78/2.67
% 14.78/2.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.78/2.67
% 14.78/2.68 Prover 2: stopped
% 14.78/2.68 Prover 3: stopped
% 14.78/2.69 Prover 6: stopped
% 14.78/2.69 Prover 5: stopped
% 14.78/2.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.78/2.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.78/2.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.78/2.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.78/2.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.00/2.81 Prover 13: Preprocessing ...
% 16.00/2.84 Prover 8: Preprocessing ...
% 16.00/2.84 Prover 11: Preprocessing ...
% 16.00/2.84 Prover 7: Preprocessing ...
% 16.00/2.85 Prover 10: Preprocessing ...
% 16.86/2.94 Prover 7: Constructing countermodel ...
% 16.86/2.95 Prover 8: Constructing countermodel ...
% 16.86/2.98 Prover 11: Constructing countermodel ...
% 16.86/2.98 Prover 10: Constructing countermodel ...
% 16.86/2.99 Prover 13: Constructing countermodel ...
% 23.52/3.81 Prover 1: Found proof (size 654)
% 23.52/3.81 Prover 1: proved (3171ms)
% 23.52/3.81 Prover 8: stopped
% 23.52/3.81 Prover 10: stopped
% 23.52/3.81 Prover 11: stopped
% 23.52/3.81 Prover 4: stopped
% 23.52/3.81 Prover 13: stopped
% 23.52/3.81 Prover 7: stopped
% 23.52/3.81
% 23.52/3.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.52/3.81
% 24.58/4.04 % SZS output start Proof for theBenchmark
% 24.58/4.05 Assumptions after simplification:
% 24.58/4.05 ---------------------------------
% 24.58/4.05
% 24.58/4.05 (ax1)
% 24.58/4.06 ~ (e15 = e14) & ~ (e15 = e13) & ~ (e15 = e12) & ~ (e15 = e10) & ~ (e15 =
% 24.58/4.06 e11) & ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e10) & ~ (e14 = e11) &
% 24.58/4.06 ~ (e13 = e12) & ~ (e13 = e10) & ~ (e13 = e11) & ~ (e12 = e10) & ~ (e12 =
% 24.58/4.06 e11) & ~ (e10 = e11) & $i(e15) & $i(e14) & $i(e13) & $i(e12) & $i(e10) &
% 24.58/4.06 $i(e11)
% 24.58/4.06
% 24.58/4.06 (ax2)
% 24.58/4.06 ~ (e25 = e24) & ~ (e25 = e23) & ~ (e25 = e22) & ~ (e25 = e20) & ~ (e25 =
% 24.58/4.06 e21) & ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e20) & ~ (e24 = e21) &
% 24.58/4.06 ~ (e23 = e22) & ~ (e23 = e20) & ~ (e23 = e21) & ~ (e22 = e20) & ~ (e22 =
% 24.58/4.06 e21) & ~ (e20 = e21) & $i(e25) & $i(e24) & $i(e23) & $i(e22) & $i(e20) &
% 24.58/4.06 $i(e21)
% 24.58/4.06
% 24.58/4.06 (ax4)
% 24.86/4.09 op1(e15, e15) = e12 & op1(e15, e14) = e10 & op1(e15, e13) = e14 & op1(e15,
% 24.86/4.09 e12) = e11 & op1(e15, e10) = e15 & op1(e15, e11) = e13 & op1(e14, e15) = e10
% 24.86/4.09 & op1(e14, e14) = e13 & op1(e14, e13) = e11 & op1(e14, e12) = e15 & op1(e14,
% 24.86/4.09 e10) = e14 & op1(e14, e11) = e12 & op1(e13, e15) = e14 & op1(e13, e14) = e11
% 24.86/4.09 & op1(e13, e13) = e12 & op1(e13, e12) = e10 & op1(e13, e10) = e13 & op1(e13,
% 24.86/4.09 e11) = e15 & op1(e12, e15) = e11 & op1(e12, e14) = e15 & op1(e12, e13) = e10
% 24.86/4.09 & op1(e12, e12) = e13 & op1(e12, e10) = e12 & op1(e12, e11) = e14 & op1(e10,
% 24.86/4.09 e15) = e15 & op1(e10, e14) = e14 & op1(e10, e13) = e13 & op1(e10, e12) = e12
% 24.86/4.09 & op1(e10, e10) = e10 & op1(e10, e11) = e11 & op1(e11, e15) = e13 & op1(e11,
% 24.86/4.09 e14) = e12 & op1(e11, e13) = e15 & op1(e11, e12) = e14 & op1(e11, e10) = e11
% 24.86/4.09 & op1(e11, e11) = e10 & $i(e15) & $i(e14) & $i(e13) & $i(e12) & $i(e10) &
% 24.86/4.09 $i(e11)
% 24.86/4.09
% 24.86/4.09 (ax5)
% 24.86/4.10 op2(e25, e25) = e20 & op2(e25, e24) = e22 & op2(e25, e23) = e21 & op2(e25,
% 24.86/4.10 e22) = e24 & op2(e25, e20) = e25 & op2(e25, e21) = e23 & op2(e24, e25) = e21
% 24.86/4.10 & op2(e24, e24) = e23 & op2(e24, e23) = e20 & op2(e24, e22) = e25 & op2(e24,
% 24.86/4.10 e20) = e24 & op2(e24, e21) = e22 & op2(e23, e25) = e22 & op2(e23, e24) = e20
% 24.86/4.10 & op2(e23, e23) = e24 & op2(e23, e22) = e21 & op2(e23, e20) = e23 & op2(e23,
% 24.86/4.10 e21) = e25 & op2(e22, e25) = e23 & op2(e22, e24) = e21 & op2(e22, e23) = e25
% 24.86/4.10 & op2(e22, e22) = e20 & op2(e22, e20) = e22 & op2(e22, e21) = e24 & op2(e20,
% 24.86/4.10 e25) = e25 & op2(e20, e24) = e24 & op2(e20, e23) = e23 & op2(e20, e22) = e22
% 24.86/4.10 & op2(e20, e20) = e20 & op2(e20, e21) = e21 & op2(e21, e25) = e24 & op2(e21,
% 24.86/4.10 e24) = e25 & op2(e21, e23) = e22 & op2(e21, e22) = e23 & op2(e21, e20) = e21
% 24.86/4.10 & op2(e21, e21) = e20 & $i(e25) & $i(e24) & $i(e23) & $i(e22) & $i(e20) &
% 24.86/4.10 $i(e21)
% 24.86/4.10
% 24.86/4.10 (co1)
% 24.86/4.13 $i(e25) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e15) & $i(e14)
% 24.86/4.13 & $i(e13) & $i(e12) & $i(e10) & $i(e11) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 24.86/4.13 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 24.86/4.13 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 24.86/4.13 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 24.86/4.13 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 24.86/4.13 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 24.86/4.13 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 24.86/4.13 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 24.86/4.13 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 24.86/4.13 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ?
% 24.86/4.13 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ?
% 24.86/4.13 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ?
% 24.86/4.13 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ?
% 24.86/4.13 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ?
% 24.86/4.13 [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ?
% 24.86/4.13 [v73: $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ?
% 24.86/4.13 [v78: $i] : ? [v79: $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ?
% 24.86/4.13 [v83: $i] : ? [v84: $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ?
% 24.86/4.13 [v88: $i] : ? [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ?
% 24.86/4.13 [v93: $i] : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ?
% 24.86/4.13 [v98: $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ?
% 24.86/4.13 [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] :
% 24.86/4.13 ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: $i] : ? [v112: $i] :
% 24.86/4.13 ? [v113: $i] : ? [v114: $i] : ? [v115: $i] : ? [v116: $i] : ? [v117: $i]
% 24.86/4.13 : ? [v118: $i] : ? [v119: $i] : ? [v120: $i] : ? [v121: $i] : ? [v122:
% 24.86/4.13 $i] : ? [v123: $i] : ? [v124: $i] : ? [v125: $i] : ? [v126: $i] : ?
% 24.86/4.13 [v127: $i] : ? [v128: $i] : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] :
% 24.86/4.13 ? [v132: $i] : ? [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] :
% 24.86/4.13 ? [v137: $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 24.86/4.13 : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? [v146:
% 24.86/4.13 $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: $i] : ?
% 24.86/4.13 [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] : ? [v155: $i] :
% 24.86/4.13 (h(v82) = v83 & h(v80) = v81 & h(v78) = v79 & h(v76) = v77 & h(v74) = v75 &
% 24.86/4.13 h(v72) = v73 & h(v70) = v71 & h(v68) = v69 & h(v66) = v67 & h(v64) = v65 &
% 24.86/4.13 h(v62) = v63 & h(v60) = v61 & h(v58) = v59 & h(v56) = v57 & h(v54) = v55 &
% 24.86/4.13 h(v52) = v53 & h(v50) = v51 & h(v48) = v49 & h(v46) = v47 & h(v44) = v45 &
% 24.86/4.13 h(v42) = v43 & h(v40) = v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 &
% 24.86/4.13 h(v32) = v33 & h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 &
% 24.86/4.13 h(v22) = v23 & h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 &
% 24.86/4.13 h(v12) = v13 & h(v11) = e25 & h(v10) = e24 & h(v9) = e23 & h(v8) = e22 &
% 24.86/4.13 h(v7) = e21 & h(v6) = e20 & h(e15) = v5 & h(e14) = v4 & h(e13) = v3 & h(e12)
% 24.86/4.13 = v2 & h(e10) = v0 & h(e11) = v1 & j(v154) = v155 & j(v152) = v153 & j(v150)
% 24.86/4.13 = v151 & j(v148) = v149 & j(v146) = v147 & j(v144) = v145 & j(v142) = v143 &
% 24.86/4.13 j(v140) = v141 & j(v138) = v139 & j(v136) = v137 & j(v134) = v135 & j(v132)
% 24.86/4.13 = v133 & j(v130) = v131 & j(v128) = v129 & j(v126) = v127 & j(v124) = v125 &
% 24.86/4.13 j(v122) = v123 & j(v120) = v121 & j(v118) = v119 & j(v116) = v117 & j(v114)
% 24.86/4.13 = v115 & j(v112) = v113 & j(v110) = v111 & j(v108) = v109 & j(v106) = v107 &
% 24.86/4.13 j(v104) = v105 & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 & j(v96) =
% 24.86/4.13 v97 & j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) = v89 & j(v86) =
% 24.86/4.13 v87 & j(v84) = v85 & j(v5) = e15 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 &
% 24.86/4.13 j(v1) = e11 & j(v0) = e10 & j(e25) = v11 & j(e24) = v10 & j(e23) = v9 &
% 24.86/4.13 j(e22) = v8 & j(e20) = v6 & j(e21) = v7 & op2(v5, v5) = v83 & op2(v5, v4) =
% 24.86/4.13 v81 & op2(v5, v3) = v79 & op2(v5, v2) = v77 & op2(v5, v1) = v75 & op2(v5,
% 24.86/4.13 v0) = v73 & op2(v4, v5) = v71 & op2(v4, v4) = v69 & op2(v4, v3) = v67 &
% 24.86/4.13 op2(v4, v2) = v65 & op2(v4, v1) = v63 & op2(v4, v0) = v61 & op2(v3, v5) =
% 24.86/4.13 v59 & op2(v3, v4) = v57 & op2(v3, v3) = v55 & op2(v3, v2) = v53 & op2(v3,
% 24.86/4.13 v1) = v51 & op2(v3, v0) = v49 & op2(v2, v5) = v47 & op2(v2, v4) = v45 &
% 24.86/4.13 op2(v2, v3) = v43 & op2(v2, v2) = v41 & op2(v2, v1) = v39 & op2(v2, v0) =
% 24.86/4.13 v37 & op2(v1, v5) = v35 & op2(v1, v4) = v33 & op2(v1, v3) = v31 & op2(v1,
% 24.86/4.13 v2) = v29 & op2(v1, v1) = v27 & op2(v1, v0) = v25 & op2(v0, v5) = v23 &
% 24.86/4.13 op2(v0, v4) = v21 & op2(v0, v3) = v19 & op2(v0, v2) = v17 & op2(v0, v1) =
% 24.86/4.13 v15 & op2(v0, v0) = v13 & op2(e25, e25) = v154 & op2(e25, e24) = v152 &
% 24.86/4.13 op2(e25, e23) = v150 & op2(e25, e22) = v148 & op2(e25, e20) = v144 &
% 24.86/4.13 op2(e25, e21) = v146 & op2(e24, e25) = v142 & op2(e24, e24) = v140 &
% 24.86/4.13 op2(e24, e23) = v138 & op2(e24, e22) = v136 & op2(e24, e20) = v132 &
% 24.86/4.13 op2(e24, e21) = v134 & op2(e23, e25) = v130 & op2(e23, e24) = v128 &
% 24.86/4.13 op2(e23, e23) = v126 & op2(e23, e22) = v124 & op2(e23, e20) = v120 &
% 24.86/4.13 op2(e23, e21) = v122 & op2(e22, e25) = v118 & op2(e22, e24) = v116 &
% 24.86/4.13 op2(e22, e23) = v114 & op2(e22, e22) = v112 & op2(e22, e20) = v108 &
% 24.86/4.13 op2(e22, e21) = v110 & op2(e20, e25) = v94 & op2(e20, e24) = v92 & op2(e20,
% 24.86/4.13 e23) = v90 & op2(e20, e22) = v88 & op2(e20, e20) = v84 & op2(e20, e21) =
% 24.86/4.13 v86 & op2(e21, e25) = v106 & op2(e21, e24) = v104 & op2(e21, e23) = v102 &
% 24.86/4.13 op2(e21, e22) = v100 & op2(e21, e20) = v96 & op2(e21, e21) = v98 & op1(v11,
% 24.86/4.13 v11) = v155 & op1(v11, v10) = v153 & op1(v11, v9) = v151 & op1(v11, v8) =
% 24.86/4.13 v149 & op1(v11, v7) = v147 & op1(v11, v6) = v145 & op1(v10, v11) = v143 &
% 24.86/4.13 op1(v10, v10) = v141 & op1(v10, v9) = v139 & op1(v10, v8) = v137 & op1(v10,
% 24.86/4.13 v7) = v135 & op1(v10, v6) = v133 & op1(v9, v11) = v131 & op1(v9, v10) =
% 24.86/4.13 v129 & op1(v9, v9) = v127 & op1(v9, v8) = v125 & op1(v9, v7) = v123 &
% 24.86/4.13 op1(v9, v6) = v121 & op1(v8, v11) = v119 & op1(v8, v10) = v117 & op1(v8, v9)
% 24.86/4.13 = v115 & op1(v8, v8) = v113 & op1(v8, v7) = v111 & op1(v8, v6) = v109 &
% 24.86/4.13 op1(v7, v11) = v107 & op1(v7, v10) = v105 & op1(v7, v9) = v103 & op1(v7, v8)
% 24.86/4.13 = v101 & op1(v7, v7) = v99 & op1(v7, v6) = v97 & op1(v6, v11) = v95 &
% 24.86/4.13 op1(v6, v10) = v93 & op1(v6, v9) = v91 & op1(v6, v8) = v89 & op1(v6, v7) =
% 24.86/4.13 v87 & op1(v6, v6) = v85 & op1(e15, e15) = v82 & op1(e15, e14) = v80 &
% 24.86/4.13 op1(e15, e13) = v78 & op1(e15, e12) = v76 & op1(e15, e10) = v72 & op1(e15,
% 24.86/4.13 e11) = v74 & op1(e14, e15) = v70 & op1(e14, e14) = v68 & op1(e14, e13) =
% 24.86/4.13 v66 & op1(e14, e12) = v64 & op1(e14, e10) = v60 & op1(e14, e11) = v62 &
% 24.86/4.13 op1(e13, e15) = v58 & op1(e13, e14) = v56 & op1(e13, e13) = v54 & op1(e13,
% 24.86/4.13 e12) = v52 & op1(e13, e10) = v48 & op1(e13, e11) = v50 & op1(e12, e15) =
% 24.86/4.13 v46 & op1(e12, e14) = v44 & op1(e12, e13) = v42 & op1(e12, e12) = v40 &
% 24.86/4.13 op1(e12, e10) = v36 & op1(e12, e11) = v38 & op1(e10, e15) = v22 & op1(e10,
% 24.86/4.13 e14) = v20 & op1(e10, e13) = v18 & op1(e10, e12) = v16 & op1(e10, e10) =
% 24.86/4.13 v12 & op1(e10, e11) = v14 & op1(e11, e15) = v34 & op1(e11, e14) = v32 &
% 24.86/4.13 op1(e11, e13) = v30 & op1(e11, e12) = v28 & op1(e11, e10) = v24 & op1(e11,
% 24.86/4.13 e11) = v26 & $i(v155) & $i(v154) & $i(v153) & $i(v152) & $i(v151) &
% 24.86/4.13 $i(v150) & $i(v149) & $i(v148) & $i(v147) & $i(v146) & $i(v145) & $i(v144) &
% 24.86/4.13 $i(v143) & $i(v142) & $i(v141) & $i(v140) & $i(v139) & $i(v138) & $i(v137) &
% 24.86/4.13 $i(v136) & $i(v135) & $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) &
% 24.86/4.13 $i(v129) & $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 24.86/4.13 $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) & $i(v116) &
% 24.86/4.13 $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) & $i(v110) & $i(v109) &
% 24.86/4.13 $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) &
% 24.86/4.13 $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) &
% 24.86/4.13 $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) &
% 24.86/4.13 $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) &
% 24.86/4.13 $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) &
% 24.86/4.13 $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) &
% 24.86/4.13 $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 24.86/4.13 $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) &
% 24.86/4.13 $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 24.86/4.13 $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) &
% 24.86/4.13 $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) &
% 24.86/4.13 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 24.86/4.13 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 24.86/4.13 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 24.86/4.13 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 24.86/4.13 $i(v2) & $i(v1) & $i(v0) & (v11 = e15 | v11 = e14 | v11 = e13 | v11 = e12 |
% 24.86/4.13 v11 = e10 | v11 = e11) & (v10 = e15 | v10 = e14 | v10 = e13 | v10 = e12 |
% 24.86/4.13 v10 = e10 | v10 = e11) & (v9 = e15 | v9 = e14 | v9 = e13 | v9 = e12 | v9 =
% 24.86/4.13 e10 | v9 = e11) & (v8 = e15 | v8 = e14 | v8 = e13 | v8 = e12 | v8 = e10 |
% 24.86/4.13 v8 = e11) & (v7 = e15 | v7 = e14 | v7 = e13 | v7 = e12 | v7 = e10 | v7 =
% 24.86/4.13 e11) & (v6 = e15 | v6 = e14 | v6 = e13 | v6 = e12 | v6 = e10 | v6 = e11) &
% 24.86/4.13 (v5 = e25 | v5 = e24 | v5 = e23 | v5 = e22 | v5 = e20 | v5 = e21) & (v4 =
% 24.86/4.13 e25 | v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e25 |
% 24.86/4.13 v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e25 | v2 =
% 24.86/4.13 e24 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e25 | v1 = e24 |
% 24.86/4.13 v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e25 | v0 = e24 | v0 =
% 24.86/4.13 e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 24.86/4.13
% 24.86/4.13 (function-axioms)
% 24.86/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 24.86/4.14 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 24.86/4.14 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 24.86/4.14 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) =
% 24.86/4.14 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 24.86/4.14 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0))
% 24.86/4.14
% 24.86/4.14 Further assumptions not needed in the proof:
% 24.86/4.14 --------------------------------------------
% 24.86/4.14 ax3
% 24.86/4.14
% 24.86/4.14 Those formulas are unsatisfiable:
% 24.86/4.14 ---------------------------------
% 24.86/4.14
% 24.86/4.14 Begin of proof
% 24.86/4.14 |
% 24.86/4.14 | ALPHA: (ax1) implies:
% 24.86/4.14 | (1) ~ (e10 = e11)
% 24.86/4.14 | (2) ~ (e12 = e11)
% 24.86/4.14 | (3) ~ (e12 = e10)
% 24.86/4.14 | (4) ~ (e13 = e11)
% 24.86/4.14 | (5) ~ (e14 = e12)
% 24.86/4.14 | (6) ~ (e15 = e13)
% 24.86/4.14 |
% 24.86/4.14 | ALPHA: (ax2) implies:
% 24.86/4.14 | (7) ~ (e22 = e21)
% 24.86/4.14 | (8) ~ (e22 = e20)
% 24.86/4.14 | (9) ~ (e23 = e20)
% 24.86/4.14 | (10) ~ (e24 = e23)
% 24.86/4.14 | (11) ~ (e25 = e21)
% 24.86/4.14 | (12) ~ (e25 = e20)
% 24.86/4.14 | (13) ~ (e25 = e22)
% 24.86/4.14 | (14) ~ (e25 = e23)
% 24.86/4.14 |
% 24.86/4.14 | ALPHA: (ax4) implies:
% 24.86/4.15 | (15) op1(e11, e11) = e10
% 24.86/4.15 | (16) op1(e11, e10) = e11
% 24.86/4.15 | (17) op1(e11, e12) = e14
% 24.86/4.15 | (18) op1(e11, e13) = e15
% 24.86/4.15 | (19) op1(e11, e14) = e12
% 24.86/4.15 | (20) op1(e11, e15) = e13
% 24.86/4.15 | (21) op1(e10, e11) = e11
% 24.86/4.15 | (22) op1(e10, e10) = e10
% 24.86/4.15 | (23) op1(e10, e12) = e12
% 24.86/4.15 | (24) op1(e10, e13) = e13
% 24.86/4.15 | (25) op1(e10, e14) = e14
% 24.86/4.15 | (26) op1(e10, e15) = e15
% 24.86/4.15 | (27) op1(e12, e11) = e14
% 24.86/4.15 | (28) op1(e12, e10) = e12
% 24.86/4.15 | (29) op1(e12, e12) = e13
% 24.86/4.15 | (30) op1(e12, e13) = e10
% 24.86/4.15 | (31) op1(e12, e14) = e15
% 24.86/4.15 | (32) op1(e12, e15) = e11
% 24.86/4.15 | (33) op1(e13, e11) = e15
% 24.86/4.15 | (34) op1(e13, e10) = e13
% 24.86/4.15 | (35) op1(e13, e12) = e10
% 24.86/4.15 | (36) op1(e13, e13) = e12
% 24.86/4.15 | (37) op1(e13, e14) = e11
% 24.86/4.15 | (38) op1(e13, e15) = e14
% 24.86/4.15 | (39) op1(e14, e11) = e12
% 24.86/4.15 | (40) op1(e14, e10) = e14
% 24.86/4.15 | (41) op1(e14, e12) = e15
% 24.86/4.15 | (42) op1(e14, e13) = e11
% 24.86/4.15 | (43) op1(e14, e14) = e13
% 24.86/4.15 | (44) op1(e14, e15) = e10
% 24.86/4.15 | (45) op1(e15, e11) = e13
% 24.86/4.15 | (46) op1(e15, e10) = e15
% 24.86/4.15 | (47) op1(e15, e12) = e11
% 24.86/4.15 | (48) op1(e15, e13) = e14
% 24.86/4.15 | (49) op1(e15, e14) = e10
% 24.86/4.15 | (50) op1(e15, e15) = e12
% 24.86/4.15 |
% 24.86/4.15 | ALPHA: (ax5) implies:
% 24.86/4.15 | (51) op2(e21, e21) = e20
% 24.86/4.15 | (52) op2(e21, e22) = e23
% 24.86/4.15 | (53) op2(e21, e23) = e22
% 24.86/4.15 | (54) op2(e21, e24) = e25
% 24.86/4.15 | (55) op2(e21, e25) = e24
% 24.86/4.15 | (56) op2(e20, e20) = e20
% 24.86/4.15 | (57) op2(e20, e23) = e23
% 24.86/4.15 | (58) op2(e20, e24) = e24
% 24.86/4.15 | (59) op2(e20, e25) = e25
% 24.86/4.15 | (60) op2(e22, e21) = e24
% 24.86/4.15 | (61) op2(e22, e22) = e20
% 24.86/4.15 | (62) op2(e22, e23) = e25
% 24.86/4.16 | (63) op2(e22, e24) = e21
% 24.86/4.16 | (64) op2(e22, e25) = e23
% 24.86/4.16 | (65) op2(e23, e21) = e25
% 24.86/4.16 | (66) op2(e23, e20) = e23
% 24.86/4.16 | (67) op2(e23, e22) = e21
% 24.86/4.16 | (68) op2(e23, e23) = e24
% 24.86/4.16 | (69) op2(e23, e24) = e20
% 24.86/4.16 | (70) op2(e24, e21) = e22
% 24.86/4.16 | (71) op2(e24, e20) = e24
% 24.86/4.16 | (72) op2(e24, e22) = e25
% 24.86/4.16 | (73) op2(e24, e23) = e20
% 24.86/4.16 | (74) op2(e24, e24) = e23
% 24.86/4.16 | (75) op2(e24, e25) = e21
% 24.86/4.16 | (76) op2(e25, e21) = e23
% 24.86/4.16 | (77) op2(e25, e20) = e25
% 24.86/4.16 | (78) op2(e25, e22) = e24
% 24.86/4.16 | (79) op2(e25, e24) = e22
% 24.86/4.16 | (80) op2(e25, e25) = e20
% 24.86/4.16 |
% 24.86/4.16 | ALPHA: (co1) implies:
% 25.31/4.19 | (81) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 25.31/4.19 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 25.31/4.19 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 25.31/4.19 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 25.31/4.19 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 25.31/4.19 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 25.31/4.19 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 25.31/4.19 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 25.31/4.19 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 25.31/4.19 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 25.31/4.19 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 25.31/4.19 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 25.31/4.19 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 25.31/4.19 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 25.31/4.19 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 25.31/4.19 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 25.31/4.19 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 25.31/4.19 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 25.31/4.19 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 25.31/4.19 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 25.31/4.19 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 25.31/4.19 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 25.31/4.19 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 25.31/4.19 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 25.31/4.19 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 25.31/4.19 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 25.31/4.19 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 25.31/4.19 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 25.31/4.19 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 25.31/4.19 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 25.31/4.19 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 25.31/4.19 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 25.31/4.19 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 25.31/4.19 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 25.31/4.19 | : ? [v155: $i] : (h(v82) = v83 & h(v80) = v81 & h(v78) = v79 & h(v76)
% 25.31/4.19 | = v77 & h(v74) = v75 & h(v72) = v73 & h(v70) = v71 & h(v68) = v69 &
% 25.31/4.19 | h(v66) = v67 & h(v64) = v65 & h(v62) = v63 & h(v60) = v61 & h(v58) =
% 25.31/4.19 | v59 & h(v56) = v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 &
% 25.31/4.19 | h(v48) = v49 & h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) =
% 25.31/4.19 | v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 &
% 25.31/4.19 | h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) =
% 25.31/4.19 | v23 & h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 &
% 25.31/4.19 | h(v12) = v13 & h(v11) = e25 & h(v10) = e24 & h(v9) = e23 & h(v8) =
% 25.31/4.19 | e22 & h(v7) = e21 & h(v6) = e20 & h(e15) = v5 & h(e14) = v4 & h(e13)
% 25.31/4.19 | = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1 & j(v154) = v155 &
% 25.31/4.19 | j(v152) = v153 & j(v150) = v151 & j(v148) = v149 & j(v146) = v147 &
% 25.31/4.19 | j(v144) = v145 & j(v142) = v143 & j(v140) = v141 & j(v138) = v139 &
% 25.31/4.19 | j(v136) = v137 & j(v134) = v135 & j(v132) = v133 & j(v130) = v131 &
% 25.31/4.19 | j(v128) = v129 & j(v126) = v127 & j(v124) = v125 & j(v122) = v123 &
% 25.31/4.19 | j(v120) = v121 & j(v118) = v119 & j(v116) = v117 & j(v114) = v115 &
% 25.31/4.19 | j(v112) = v113 & j(v110) = v111 & j(v108) = v109 & j(v106) = v107 &
% 25.31/4.19 | j(v104) = v105 & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 &
% 25.31/4.19 | j(v96) = v97 & j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) =
% 25.31/4.19 | v89 & j(v86) = v87 & j(v84) = v85 & j(v5) = e15 & j(v4) = e14 &
% 25.31/4.19 | j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) = e10 & j(e25) = v11
% 25.31/4.19 | & j(e24) = v10 & j(e23) = v9 & j(e22) = v8 & j(e20) = v6 & j(e21) =
% 25.31/4.19 | v7 & op2(v5, v5) = v83 & op2(v5, v4) = v81 & op2(v5, v3) = v79 &
% 25.31/4.19 | op2(v5, v2) = v77 & op2(v5, v1) = v75 & op2(v5, v0) = v73 & op2(v4,
% 25.31/4.19 | v5) = v71 & op2(v4, v4) = v69 & op2(v4, v3) = v67 & op2(v4, v2) =
% 25.31/4.19 | v65 & op2(v4, v1) = v63 & op2(v4, v0) = v61 & op2(v3, v5) = v59 &
% 25.31/4.19 | op2(v3, v4) = v57 & op2(v3, v3) = v55 & op2(v3, v2) = v53 & op2(v3,
% 25.31/4.19 | v1) = v51 & op2(v3, v0) = v49 & op2(v2, v5) = v47 & op2(v2, v4) =
% 25.31/4.19 | v45 & op2(v2, v3) = v43 & op2(v2, v2) = v41 & op2(v2, v1) = v39 &
% 25.31/4.19 | op2(v2, v0) = v37 & op2(v1, v5) = v35 & op2(v1, v4) = v33 & op2(v1,
% 25.31/4.19 | v3) = v31 & op2(v1, v2) = v29 & op2(v1, v1) = v27 & op2(v1, v0) =
% 25.31/4.19 | v25 & op2(v0, v5) = v23 & op2(v0, v4) = v21 & op2(v0, v3) = v19 &
% 25.31/4.19 | op2(v0, v2) = v17 & op2(v0, v1) = v15 & op2(v0, v0) = v13 & op2(e25,
% 25.31/4.19 | e25) = v154 & op2(e25, e24) = v152 & op2(e25, e23) = v150 &
% 25.31/4.19 | op2(e25, e22) = v148 & op2(e25, e20) = v144 & op2(e25, e21) = v146 &
% 25.31/4.19 | op2(e24, e25) = v142 & op2(e24, e24) = v140 & op2(e24, e23) = v138 &
% 25.31/4.19 | op2(e24, e22) = v136 & op2(e24, e20) = v132 & op2(e24, e21) = v134 &
% 25.31/4.19 | op2(e23, e25) = v130 & op2(e23, e24) = v128 & op2(e23, e23) = v126 &
% 25.31/4.19 | op2(e23, e22) = v124 & op2(e23, e20) = v120 & op2(e23, e21) = v122 &
% 25.31/4.19 | op2(e22, e25) = v118 & op2(e22, e24) = v116 & op2(e22, e23) = v114 &
% 25.31/4.19 | op2(e22, e22) = v112 & op2(e22, e20) = v108 & op2(e22, e21) = v110 &
% 25.31/4.19 | op2(e20, e25) = v94 & op2(e20, e24) = v92 & op2(e20, e23) = v90 &
% 25.31/4.19 | op2(e20, e22) = v88 & op2(e20, e20) = v84 & op2(e20, e21) = v86 &
% 25.31/4.19 | op2(e21, e25) = v106 & op2(e21, e24) = v104 & op2(e21, e23) = v102 &
% 25.31/4.19 | op2(e21, e22) = v100 & op2(e21, e20) = v96 & op2(e21, e21) = v98 &
% 25.31/4.19 | op1(v11, v11) = v155 & op1(v11, v10) = v153 & op1(v11, v9) = v151 &
% 25.31/4.19 | op1(v11, v8) = v149 & op1(v11, v7) = v147 & op1(v11, v6) = v145 &
% 25.31/4.19 | op1(v10, v11) = v143 & op1(v10, v10) = v141 & op1(v10, v9) = v139 &
% 25.31/4.19 | op1(v10, v8) = v137 & op1(v10, v7) = v135 & op1(v10, v6) = v133 &
% 25.31/4.19 | op1(v9, v11) = v131 & op1(v9, v10) = v129 & op1(v9, v9) = v127 &
% 25.31/4.19 | op1(v9, v8) = v125 & op1(v9, v7) = v123 & op1(v9, v6) = v121 &
% 25.31/4.19 | op1(v8, v11) = v119 & op1(v8, v10) = v117 & op1(v8, v9) = v115 &
% 25.31/4.19 | op1(v8, v8) = v113 & op1(v8, v7) = v111 & op1(v8, v6) = v109 &
% 25.31/4.19 | op1(v7, v11) = v107 & op1(v7, v10) = v105 & op1(v7, v9) = v103 &
% 25.31/4.19 | op1(v7, v8) = v101 & op1(v7, v7) = v99 & op1(v7, v6) = v97 & op1(v6,
% 25.31/4.19 | v11) = v95 & op1(v6, v10) = v93 & op1(v6, v9) = v91 & op1(v6, v8)
% 25.31/4.19 | = v89 & op1(v6, v7) = v87 & op1(v6, v6) = v85 & op1(e15, e15) = v82
% 25.31/4.19 | & op1(e15, e14) = v80 & op1(e15, e13) = v78 & op1(e15, e12) = v76 &
% 25.31/4.19 | op1(e15, e10) = v72 & op1(e15, e11) = v74 & op1(e14, e15) = v70 &
% 25.31/4.19 | op1(e14, e14) = v68 & op1(e14, e13) = v66 & op1(e14, e12) = v64 &
% 25.31/4.19 | op1(e14, e10) = v60 & op1(e14, e11) = v62 & op1(e13, e15) = v58 &
% 25.31/4.19 | op1(e13, e14) = v56 & op1(e13, e13) = v54 & op1(e13, e12) = v52 &
% 25.31/4.19 | op1(e13, e10) = v48 & op1(e13, e11) = v50 & op1(e12, e15) = v46 &
% 25.31/4.19 | op1(e12, e14) = v44 & op1(e12, e13) = v42 & op1(e12, e12) = v40 &
% 25.31/4.19 | op1(e12, e10) = v36 & op1(e12, e11) = v38 & op1(e10, e15) = v22 &
% 25.31/4.19 | op1(e10, e14) = v20 & op1(e10, e13) = v18 & op1(e10, e12) = v16 &
% 25.31/4.19 | op1(e10, e10) = v12 & op1(e10, e11) = v14 & op1(e11, e15) = v34 &
% 25.31/4.19 | op1(e11, e14) = v32 & op1(e11, e13) = v30 & op1(e11, e12) = v28 &
% 25.31/4.19 | op1(e11, e10) = v24 & op1(e11, e11) = v26 & $i(v155) & $i(v154) &
% 25.31/4.19 | $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 25.31/4.19 | $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) &
% 25.31/4.19 | $i(v141) & $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) &
% 25.31/4.19 | $i(v135) & $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) &
% 25.31/4.19 | $i(v129) & $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) &
% 25.31/4.19 | $i(v123) & $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) &
% 25.31/4.19 | $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) &
% 25.31/4.19 | $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 25.31/4.19 | $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) &
% 25.31/4.19 | $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93)
% 25.31/4.19 | & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) &
% 25.31/4.19 | $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80)
% 25.31/4.19 | & $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) &
% 25.31/4.19 | $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67)
% 25.31/4.19 | & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) &
% 25.31/4.19 | $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54)
% 25.31/4.19 | & $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) &
% 25.31/4.19 | $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41)
% 25.31/4.19 | & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) &
% 25.31/4.19 | $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28)
% 25.31/4.19 | & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 25.31/4.19 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15)
% 25.31/4.19 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 25.31/4.19 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 25.31/4.19 | $i(v0) & (v11 = e15 | v11 = e14 | v11 = e13 | v11 = e12 | v11 = e10
% 25.31/4.19 | | v11 = e11) & (v10 = e15 | v10 = e14 | v10 = e13 | v10 = e12 |
% 25.31/4.19 | v10 = e10 | v10 = e11) & (v9 = e15 | v9 = e14 | v9 = e13 | v9 =
% 25.31/4.19 | e12 | v9 = e10 | v9 = e11) & (v8 = e15 | v8 = e14 | v8 = e13 | v8
% 25.31/4.19 | = e12 | v8 = e10 | v8 = e11) & (v7 = e15 | v7 = e14 | v7 = e13 |
% 25.31/4.19 | v7 = e12 | v7 = e10 | v7 = e11) & (v6 = e15 | v6 = e14 | v6 = e13
% 25.31/4.19 | | v6 = e12 | v6 = e10 | v6 = e11) & (v5 = e25 | v5 = e24 | v5 =
% 25.31/4.19 | e23 | v5 = e22 | v5 = e20 | v5 = e21) & (v4 = e25 | v4 = e24 | v4
% 25.31/4.19 | = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e25 | v3 = e24 |
% 25.31/4.19 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e25 | v2 = e24
% 25.31/4.19 | | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e25 | v1 =
% 25.31/4.19 | e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e25 | v0
% 25.31/4.19 | = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 25.31/4.19 |
% 25.31/4.19 | ALPHA: (function-axioms) implies:
% 25.31/4.20 | (82) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 25.31/4.20 | ~ (j(v2) = v0))
% 25.31/4.20 | (83) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) |
% 25.31/4.20 | ~ (h(v2) = v0))
% 25.31/4.20 | (84) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.31/4.20 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 25.31/4.20 | (85) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.31/4.20 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 25.31/4.20 |
% 25.31/4.20 | DELTA: instantiating (81) with fresh symbols all_4_0, all_4_1, all_4_2,
% 25.31/4.20 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 25.31/4.20 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 25.31/4.20 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 25.31/4.20 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 25.31/4.20 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 25.31/4.20 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 25.31/4.20 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 25.31/4.20 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 25.31/4.20 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 25.31/4.20 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 25.31/4.20 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 25.31/4.20 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 25.31/4.20 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 25.31/4.20 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 25.31/4.20 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106,
% 25.31/4.20 | all_4_107, all_4_108, all_4_109, all_4_110, all_4_111, all_4_112,
% 25.31/4.20 | all_4_113, all_4_114, all_4_115, all_4_116, all_4_117, all_4_118,
% 25.31/4.20 | all_4_119, all_4_120, all_4_121, all_4_122, all_4_123, all_4_124,
% 25.31/4.20 | all_4_125, all_4_126, all_4_127, all_4_128, all_4_129, all_4_130,
% 25.31/4.20 | all_4_131, all_4_132, all_4_133, all_4_134, all_4_135, all_4_136,
% 25.31/4.20 | all_4_137, all_4_138, all_4_139, all_4_140, all_4_141, all_4_142,
% 25.31/4.20 | all_4_143, all_4_144, all_4_145, all_4_146, all_4_147, all_4_148,
% 25.31/4.20 | all_4_149, all_4_150, all_4_151, all_4_152, all_4_153, all_4_154,
% 25.31/4.20 | all_4_155 gives:
% 25.49/4.21 | (86) h(all_4_73) = all_4_72 & h(all_4_75) = all_4_74 & h(all_4_77) =
% 25.49/4.21 | all_4_76 & h(all_4_79) = all_4_78 & h(all_4_81) = all_4_80 &
% 25.49/4.21 | h(all_4_83) = all_4_82 & h(all_4_85) = all_4_84 & h(all_4_87) =
% 25.49/4.21 | all_4_86 & h(all_4_89) = all_4_88 & h(all_4_91) = all_4_90 &
% 25.49/4.21 | h(all_4_93) = all_4_92 & h(all_4_95) = all_4_94 & h(all_4_97) =
% 25.49/4.21 | all_4_96 & h(all_4_99) = all_4_98 & h(all_4_101) = all_4_100 &
% 25.49/4.21 | h(all_4_103) = all_4_102 & h(all_4_105) = all_4_104 & h(all_4_107) =
% 25.49/4.21 | all_4_106 & h(all_4_109) = all_4_108 & h(all_4_111) = all_4_110 &
% 25.49/4.21 | h(all_4_113) = all_4_112 & h(all_4_115) = all_4_114 & h(all_4_117) =
% 25.49/4.21 | all_4_116 & h(all_4_119) = all_4_118 & h(all_4_121) = all_4_120 &
% 25.49/4.21 | h(all_4_123) = all_4_122 & h(all_4_125) = all_4_124 & h(all_4_127) =
% 25.49/4.21 | all_4_126 & h(all_4_129) = all_4_128 & h(all_4_131) = all_4_130 &
% 25.49/4.21 | h(all_4_133) = all_4_132 & h(all_4_135) = all_4_134 & h(all_4_137) =
% 25.49/4.21 | all_4_136 & h(all_4_139) = all_4_138 & h(all_4_141) = all_4_140 &
% 25.49/4.21 | h(all_4_143) = all_4_142 & h(all_4_144) = e25 & h(all_4_145) = e24 &
% 25.49/4.21 | h(all_4_146) = e23 & h(all_4_147) = e22 & h(all_4_148) = e21 &
% 25.49/4.21 | h(all_4_149) = e20 & h(e15) = all_4_150 & h(e14) = all_4_151 & h(e13)
% 25.49/4.21 | = all_4_152 & h(e12) = all_4_153 & h(e10) = all_4_155 & h(e11) =
% 25.49/4.21 | all_4_154 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) =
% 25.49/4.21 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) =
% 25.49/4.21 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 &
% 25.49/4.21 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) =
% 25.49/4.21 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 &
% 25.49/4.21 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) =
% 25.49/4.21 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 &
% 25.49/4.21 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) =
% 25.49/4.21 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 &
% 25.49/4.21 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_51) =
% 25.49/4.21 | all_4_50 & j(all_4_53) = all_4_52 & j(all_4_55) = all_4_54 &
% 25.49/4.21 | j(all_4_57) = all_4_56 & j(all_4_59) = all_4_58 & j(all_4_61) =
% 25.49/4.21 | all_4_60 & j(all_4_63) = all_4_62 & j(all_4_65) = all_4_64 &
% 25.49/4.21 | j(all_4_67) = all_4_66 & j(all_4_69) = all_4_68 & j(all_4_71) =
% 25.49/4.21 | all_4_70 & j(all_4_150) = e15 & j(all_4_151) = e14 & j(all_4_152) =
% 25.49/4.21 | e13 & j(all_4_153) = e12 & j(all_4_154) = e11 & j(all_4_155) = e10 &
% 25.49/4.21 | j(e25) = all_4_144 & j(e24) = all_4_145 & j(e23) = all_4_146 & j(e22)
% 25.49/4.21 | = all_4_147 & j(e20) = all_4_149 & j(e21) = all_4_148 & op2(all_4_150,
% 25.49/4.21 | all_4_150) = all_4_72 & op2(all_4_150, all_4_151) = all_4_74 &
% 25.49/4.21 | op2(all_4_150, all_4_152) = all_4_76 & op2(all_4_150, all_4_153) =
% 25.49/4.21 | all_4_78 & op2(all_4_150, all_4_154) = all_4_80 & op2(all_4_150,
% 25.49/4.21 | all_4_155) = all_4_82 & op2(all_4_151, all_4_150) = all_4_84 &
% 25.49/4.21 | op2(all_4_151, all_4_151) = all_4_86 & op2(all_4_151, all_4_152) =
% 25.49/4.21 | all_4_88 & op2(all_4_151, all_4_153) = all_4_90 & op2(all_4_151,
% 25.49/4.21 | all_4_154) = all_4_92 & op2(all_4_151, all_4_155) = all_4_94 &
% 25.49/4.21 | op2(all_4_152, all_4_150) = all_4_96 & op2(all_4_152, all_4_151) =
% 25.49/4.21 | all_4_98 & op2(all_4_152, all_4_152) = all_4_100 & op2(all_4_152,
% 25.49/4.21 | all_4_153) = all_4_102 & op2(all_4_152, all_4_154) = all_4_104 &
% 25.49/4.21 | op2(all_4_152, all_4_155) = all_4_106 & op2(all_4_153, all_4_150) =
% 25.49/4.21 | all_4_108 & op2(all_4_153, all_4_151) = all_4_110 & op2(all_4_153,
% 25.49/4.21 | all_4_152) = all_4_112 & op2(all_4_153, all_4_153) = all_4_114 &
% 25.49/4.21 | op2(all_4_153, all_4_154) = all_4_116 & op2(all_4_153, all_4_155) =
% 25.49/4.21 | all_4_118 & op2(all_4_154, all_4_150) = all_4_120 & op2(all_4_154,
% 25.49/4.21 | all_4_151) = all_4_122 & op2(all_4_154, all_4_152) = all_4_124 &
% 25.49/4.21 | op2(all_4_154, all_4_153) = all_4_126 & op2(all_4_154, all_4_154) =
% 25.49/4.21 | all_4_128 & op2(all_4_154, all_4_155) = all_4_130 & op2(all_4_155,
% 25.49/4.21 | all_4_150) = all_4_132 & op2(all_4_155, all_4_151) = all_4_134 &
% 25.49/4.21 | op2(all_4_155, all_4_152) = all_4_136 & op2(all_4_155, all_4_153) =
% 25.49/4.21 | all_4_138 & op2(all_4_155, all_4_154) = all_4_140 & op2(all_4_155,
% 25.49/4.21 | all_4_155) = all_4_142 & op2(e25, e25) = all_4_1 & op2(e25, e24) =
% 25.49/4.21 | all_4_3 & op2(e25, e23) = all_4_5 & op2(e25, e22) = all_4_7 & op2(e25,
% 25.49/4.21 | e20) = all_4_11 & op2(e25, e21) = all_4_9 & op2(e24, e25) = all_4_13
% 25.49/4.21 | & op2(e24, e24) = all_4_15 & op2(e24, e23) = all_4_17 & op2(e24, e22)
% 25.49/4.21 | = all_4_19 & op2(e24, e20) = all_4_23 & op2(e24, e21) = all_4_21 &
% 25.49/4.21 | op2(e23, e25) = all_4_25 & op2(e23, e24) = all_4_27 & op2(e23, e23) =
% 25.49/4.21 | all_4_29 & op2(e23, e22) = all_4_31 & op2(e23, e20) = all_4_35 &
% 25.49/4.21 | op2(e23, e21) = all_4_33 & op2(e22, e25) = all_4_37 & op2(e22, e24) =
% 25.49/4.21 | all_4_39 & op2(e22, e23) = all_4_41 & op2(e22, e22) = all_4_43 &
% 25.49/4.21 | op2(e22, e20) = all_4_47 & op2(e22, e21) = all_4_45 & op2(e20, e25) =
% 25.49/4.21 | all_4_61 & op2(e20, e24) = all_4_63 & op2(e20, e23) = all_4_65 &
% 25.49/4.21 | op2(e20, e22) = all_4_67 & op2(e20, e20) = all_4_71 & op2(e20, e21) =
% 25.49/4.21 | all_4_69 & op2(e21, e25) = all_4_49 & op2(e21, e24) = all_4_51 &
% 25.49/4.21 | op2(e21, e23) = all_4_53 & op2(e21, e22) = all_4_55 & op2(e21, e20) =
% 25.49/4.21 | all_4_59 & op2(e21, e21) = all_4_57 & op1(all_4_144, all_4_144) =
% 25.49/4.21 | all_4_0 & op1(all_4_144, all_4_145) = all_4_2 & op1(all_4_144,
% 25.49/4.21 | all_4_146) = all_4_4 & op1(all_4_144, all_4_147) = all_4_6 &
% 25.49/4.21 | op1(all_4_144, all_4_148) = all_4_8 & op1(all_4_144, all_4_149) =
% 25.49/4.21 | all_4_10 & op1(all_4_145, all_4_144) = all_4_12 & op1(all_4_145,
% 25.49/4.21 | all_4_145) = all_4_14 & op1(all_4_145, all_4_146) = all_4_16 &
% 25.49/4.21 | op1(all_4_145, all_4_147) = all_4_18 & op1(all_4_145, all_4_148) =
% 25.49/4.21 | all_4_20 & op1(all_4_145, all_4_149) = all_4_22 & op1(all_4_146,
% 25.49/4.21 | all_4_144) = all_4_24 & op1(all_4_146, all_4_145) = all_4_26 &
% 25.49/4.21 | op1(all_4_146, all_4_146) = all_4_28 & op1(all_4_146, all_4_147) =
% 25.49/4.21 | all_4_30 & op1(all_4_146, all_4_148) = all_4_32 & op1(all_4_146,
% 25.49/4.21 | all_4_149) = all_4_34 & op1(all_4_147, all_4_144) = all_4_36 &
% 25.49/4.21 | op1(all_4_147, all_4_145) = all_4_38 & op1(all_4_147, all_4_146) =
% 25.49/4.21 | all_4_40 & op1(all_4_147, all_4_147) = all_4_42 & op1(all_4_147,
% 25.49/4.21 | all_4_148) = all_4_44 & op1(all_4_147, all_4_149) = all_4_46 &
% 25.49/4.21 | op1(all_4_148, all_4_144) = all_4_48 & op1(all_4_148, all_4_145) =
% 25.49/4.21 | all_4_50 & op1(all_4_148, all_4_146) = all_4_52 & op1(all_4_148,
% 25.49/4.21 | all_4_147) = all_4_54 & op1(all_4_148, all_4_148) = all_4_56 &
% 25.49/4.21 | op1(all_4_148, all_4_149) = all_4_58 & op1(all_4_149, all_4_144) =
% 25.49/4.21 | all_4_60 & op1(all_4_149, all_4_145) = all_4_62 & op1(all_4_149,
% 25.49/4.21 | all_4_146) = all_4_64 & op1(all_4_149, all_4_147) = all_4_66 &
% 25.49/4.21 | op1(all_4_149, all_4_148) = all_4_68 & op1(all_4_149, all_4_149) =
% 25.49/4.21 | all_4_70 & op1(e15, e15) = all_4_73 & op1(e15, e14) = all_4_75 &
% 25.49/4.21 | op1(e15, e13) = all_4_77 & op1(e15, e12) = all_4_79 & op1(e15, e10) =
% 25.49/4.21 | all_4_83 & op1(e15, e11) = all_4_81 & op1(e14, e15) = all_4_85 &
% 25.49/4.21 | op1(e14, e14) = all_4_87 & op1(e14, e13) = all_4_89 & op1(e14, e12) =
% 25.49/4.21 | all_4_91 & op1(e14, e10) = all_4_95 & op1(e14, e11) = all_4_93 &
% 25.49/4.21 | op1(e13, e15) = all_4_97 & op1(e13, e14) = all_4_99 & op1(e13, e13) =
% 25.49/4.21 | all_4_101 & op1(e13, e12) = all_4_103 & op1(e13, e10) = all_4_107 &
% 25.49/4.21 | op1(e13, e11) = all_4_105 & op1(e12, e15) = all_4_109 & op1(e12, e14)
% 25.49/4.21 | = all_4_111 & op1(e12, e13) = all_4_113 & op1(e12, e12) = all_4_115 &
% 25.49/4.21 | op1(e12, e10) = all_4_119 & op1(e12, e11) = all_4_117 & op1(e10, e15)
% 25.49/4.21 | = all_4_133 & op1(e10, e14) = all_4_135 & op1(e10, e13) = all_4_137 &
% 25.49/4.21 | op1(e10, e12) = all_4_139 & op1(e10, e10) = all_4_143 & op1(e10, e11)
% 25.49/4.21 | = all_4_141 & op1(e11, e15) = all_4_121 & op1(e11, e14) = all_4_123 &
% 25.49/4.21 | op1(e11, e13) = all_4_125 & op1(e11, e12) = all_4_127 & op1(e11, e10)
% 25.49/4.21 | = all_4_131 & op1(e11, e11) = all_4_129 & $i(all_4_0) & $i(all_4_1) &
% 25.49/4.21 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) &
% 25.49/4.21 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11)
% 25.49/4.21 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) &
% 25.49/4.21 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) &
% 25.49/4.21 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) &
% 25.49/4.21 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) &
% 25.49/4.21 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) &
% 25.49/4.21 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) &
% 25.49/4.21 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) &
% 25.49/4.21 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) &
% 25.49/4.21 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) &
% 25.49/4.21 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) &
% 25.49/4.21 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) &
% 25.49/4.21 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) &
% 25.49/4.21 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) &
% 25.49/4.21 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) &
% 25.49/4.21 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) &
% 25.49/4.21 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) &
% 25.49/4.21 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) &
% 25.49/4.21 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) &
% 25.49/4.21 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) &
% 25.49/4.21 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) &
% 25.49/4.21 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) &
% 25.49/4.21 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) &
% 25.49/4.21 | $i(all_4_100) & $i(all_4_101) & $i(all_4_102) & $i(all_4_103) &
% 25.49/4.21 | $i(all_4_104) & $i(all_4_105) & $i(all_4_106) & $i(all_4_107) &
% 25.49/4.22 | $i(all_4_108) & $i(all_4_109) & $i(all_4_110) & $i(all_4_111) &
% 25.49/4.22 | $i(all_4_112) & $i(all_4_113) & $i(all_4_114) & $i(all_4_115) &
% 25.49/4.22 | $i(all_4_116) & $i(all_4_117) & $i(all_4_118) & $i(all_4_119) &
% 25.49/4.22 | $i(all_4_120) & $i(all_4_121) & $i(all_4_122) & $i(all_4_123) &
% 25.49/4.22 | $i(all_4_124) & $i(all_4_125) & $i(all_4_126) & $i(all_4_127) &
% 25.49/4.22 | $i(all_4_128) & $i(all_4_129) & $i(all_4_130) & $i(all_4_131) &
% 25.49/4.22 | $i(all_4_132) & $i(all_4_133) & $i(all_4_134) & $i(all_4_135) &
% 25.49/4.22 | $i(all_4_136) & $i(all_4_137) & $i(all_4_138) & $i(all_4_139) &
% 25.49/4.22 | $i(all_4_140) & $i(all_4_141) & $i(all_4_142) & $i(all_4_143) &
% 25.49/4.22 | $i(all_4_144) & $i(all_4_145) & $i(all_4_146) & $i(all_4_147) &
% 25.49/4.22 | $i(all_4_148) & $i(all_4_149) & $i(all_4_150) & $i(all_4_151) &
% 25.49/4.22 | $i(all_4_152) & $i(all_4_153) & $i(all_4_154) & $i(all_4_155) &
% 25.49/4.22 | (all_4_144 = e15 | all_4_144 = e14 | all_4_144 = e13 | all_4_144 = e12
% 25.49/4.22 | | all_4_144 = e10 | all_4_144 = e11) & (all_4_145 = e15 | all_4_145
% 25.49/4.22 | = e14 | all_4_145 = e13 | all_4_145 = e12 | all_4_145 = e10 |
% 25.49/4.22 | all_4_145 = e11) & (all_4_146 = e15 | all_4_146 = e14 | all_4_146 =
% 25.49/4.22 | e13 | all_4_146 = e12 | all_4_146 = e10 | all_4_146 = e11) &
% 25.49/4.22 | (all_4_147 = e15 | all_4_147 = e14 | all_4_147 = e13 | all_4_147 = e12
% 25.49/4.22 | | all_4_147 = e10 | all_4_147 = e11) & (all_4_148 = e15 | all_4_148
% 25.49/4.22 | = e14 | all_4_148 = e13 | all_4_148 = e12 | all_4_148 = e10 |
% 25.49/4.22 | all_4_148 = e11) & (all_4_149 = e15 | all_4_149 = e14 | all_4_149 =
% 25.49/4.22 | e13 | all_4_149 = e12 | all_4_149 = e10 | all_4_149 = e11) &
% 25.49/4.22 | (all_4_150 = e25 | all_4_150 = e24 | all_4_150 = e23 | all_4_150 = e22
% 25.49/4.22 | | all_4_150 = e20 | all_4_150 = e21) & (all_4_151 = e25 | all_4_151
% 25.49/4.22 | = e24 | all_4_151 = e23 | all_4_151 = e22 | all_4_151 = e20 |
% 25.49/4.22 | all_4_151 = e21) & (all_4_152 = e25 | all_4_152 = e24 | all_4_152 =
% 25.49/4.22 | e23 | all_4_152 = e22 | all_4_152 = e20 | all_4_152 = e21) &
% 25.49/4.22 | (all_4_153 = e25 | all_4_153 = e24 | all_4_153 = e23 | all_4_153 = e22
% 25.49/4.22 | | all_4_153 = e20 | all_4_153 = e21) & (all_4_154 = e25 | all_4_154
% 25.49/4.22 | = e24 | all_4_154 = e23 | all_4_154 = e22 | all_4_154 = e20 |
% 25.49/4.22 | all_4_154 = e21) & (all_4_155 = e25 | all_4_155 = e24 | all_4_155 =
% 25.49/4.22 | e23 | all_4_155 = e22 | all_4_155 = e20 | all_4_155 = e21)
% 25.49/4.22 |
% 25.49/4.22 | ALPHA: (86) implies:
% 25.49/4.22 | (87) op1(e11, e11) = all_4_129
% 25.49/4.22 | (88) op1(e11, e10) = all_4_131
% 25.49/4.22 | (89) op1(e11, e12) = all_4_127
% 25.49/4.22 | (90) op1(e11, e13) = all_4_125
% 25.49/4.22 | (91) op1(e11, e14) = all_4_123
% 25.49/4.22 | (92) op1(e11, e15) = all_4_121
% 25.49/4.22 | (93) op1(e10, e11) = all_4_141
% 25.49/4.22 | (94) op1(e10, e10) = all_4_143
% 25.49/4.22 | (95) op1(e10, e12) = all_4_139
% 25.49/4.22 | (96) op1(e10, e13) = all_4_137
% 25.49/4.22 | (97) op1(e10, e14) = all_4_135
% 25.49/4.22 | (98) op1(e10, e15) = all_4_133
% 25.49/4.22 | (99) op1(e12, e11) = all_4_117
% 25.49/4.22 | (100) op1(e12, e10) = all_4_119
% 25.49/4.22 | (101) op1(e12, e12) = all_4_115
% 25.49/4.22 | (102) op1(e12, e13) = all_4_113
% 25.49/4.22 | (103) op1(e12, e14) = all_4_111
% 25.49/4.22 | (104) op1(e12, e15) = all_4_109
% 25.49/4.22 | (105) op1(e13, e11) = all_4_105
% 25.49/4.22 | (106) op1(e13, e10) = all_4_107
% 25.49/4.22 | (107) op1(e13, e12) = all_4_103
% 25.49/4.22 | (108) op1(e13, e13) = all_4_101
% 25.49/4.22 | (109) op1(e13, e14) = all_4_99
% 25.49/4.22 | (110) op1(e13, e15) = all_4_97
% 25.49/4.22 | (111) op1(e14, e11) = all_4_93
% 25.49/4.22 | (112) op1(e14, e10) = all_4_95
% 25.49/4.22 | (113) op1(e14, e12) = all_4_91
% 25.49/4.22 | (114) op1(e14, e13) = all_4_89
% 25.49/4.22 | (115) op1(e14, e14) = all_4_87
% 25.49/4.22 | (116) op1(e14, e15) = all_4_85
% 25.49/4.22 | (117) op1(e15, e11) = all_4_81
% 25.49/4.22 | (118) op1(e15, e10) = all_4_83
% 25.49/4.22 | (119) op1(e15, e12) = all_4_79
% 25.49/4.22 | (120) op1(e15, e13) = all_4_77
% 25.49/4.22 | (121) op1(e15, e14) = all_4_75
% 25.49/4.22 | (122) op1(e15, e15) = all_4_73
% 25.49/4.22 | (123) op1(all_4_149, all_4_149) = all_4_70
% 25.49/4.22 | (124) op1(all_4_146, all_4_146) = all_4_28
% 25.49/4.22 | (125) op1(all_4_145, all_4_145) = all_4_14
% 25.49/4.22 | (126) op1(all_4_144, all_4_149) = all_4_10
% 25.49/4.22 | (127) op1(all_4_144, all_4_144) = all_4_0
% 25.49/4.22 | (128) op2(e21, e21) = all_4_57
% 25.49/4.22 | (129) op2(e21, e22) = all_4_55
% 25.49/4.22 | (130) op2(e21, e23) = all_4_53
% 25.49/4.22 | (131) op2(e21, e24) = all_4_51
% 25.49/4.22 | (132) op2(e21, e25) = all_4_49
% 25.49/4.22 | (133) op2(e20, e20) = all_4_71
% 25.49/4.22 | (134) op2(e20, e23) = all_4_65
% 25.49/4.22 | (135) op2(e20, e24) = all_4_63
% 25.49/4.22 | (136) op2(e20, e25) = all_4_61
% 25.49/4.22 | (137) op2(e22, e21) = all_4_45
% 25.49/4.23 | (138) op2(e22, e22) = all_4_43
% 25.49/4.23 | (139) op2(e22, e23) = all_4_41
% 25.49/4.23 | (140) op2(e22, e24) = all_4_39
% 25.49/4.23 | (141) op2(e22, e25) = all_4_37
% 25.49/4.23 | (142) op2(e23, e21) = all_4_33
% 25.49/4.23 | (143) op2(e23, e20) = all_4_35
% 25.49/4.23 | (144) op2(e23, e22) = all_4_31
% 25.49/4.23 | (145) op2(e23, e23) = all_4_29
% 25.49/4.23 | (146) op2(e23, e24) = all_4_27
% 25.49/4.23 | (147) op2(e24, e21) = all_4_21
% 25.49/4.23 | (148) op2(e24, e20) = all_4_23
% 25.49/4.23 | (149) op2(e24, e22) = all_4_19
% 25.49/4.23 | (150) op2(e24, e23) = all_4_17
% 25.49/4.23 | (151) op2(e24, e24) = all_4_15
% 25.49/4.23 | (152) op2(e24, e25) = all_4_13
% 25.49/4.23 | (153) op2(e25, e21) = all_4_9
% 25.49/4.23 | (154) op2(e25, e20) = all_4_11
% 25.49/4.23 | (155) op2(e25, e22) = all_4_7
% 25.49/4.23 | (156) op2(e25, e24) = all_4_3
% 25.49/4.23 | (157) op2(e25, e25) = all_4_1
% 25.49/4.23 | (158) op2(all_4_155, all_4_155) = all_4_142
% 25.49/4.23 | (159) op2(all_4_154, all_4_154) = all_4_128
% 25.49/4.23 | (160) op2(all_4_154, all_4_153) = all_4_126
% 25.49/4.23 | (161) op2(all_4_154, all_4_152) = all_4_124
% 25.49/4.23 | (162) op2(all_4_153, all_4_154) = all_4_116
% 25.49/4.23 | (163) op2(all_4_153, all_4_153) = all_4_114
% 25.49/4.23 | (164) op2(all_4_153, all_4_152) = all_4_112
% 25.49/4.23 | (165) op2(all_4_152, all_4_154) = all_4_104
% 25.49/4.23 | (166) op2(all_4_152, all_4_153) = all_4_102
% 25.49/4.23 | (167) op2(all_4_152, all_4_152) = all_4_100
% 25.49/4.23 | (168) j(e20) = all_4_149
% 25.49/4.23 | (169) j(e23) = all_4_146
% 25.49/4.23 | (170) j(e24) = all_4_145
% 25.49/4.23 | (171) j(e25) = all_4_144
% 25.49/4.23 | (172) j(all_4_155) = e10
% 25.49/4.23 | (173) j(all_4_154) = e11
% 25.49/4.23 | (174) j(all_4_153) = e12
% 25.49/4.23 | (175) j(all_4_152) = e13
% 25.49/4.23 | (176) j(all_4_71) = all_4_70
% 25.49/4.23 | (177) j(all_4_65) = all_4_64
% 25.49/4.23 | (178) j(all_4_63) = all_4_62
% 25.49/4.23 | (179) j(all_4_61) = all_4_60
% 25.49/4.23 | (180) j(all_4_57) = all_4_56
% 25.49/4.23 | (181) j(all_4_55) = all_4_54
% 25.49/4.23 | (182) j(all_4_51) = all_4_50
% 25.49/4.23 | (183) j(all_4_49) = all_4_48
% 25.49/4.23 | (184) j(all_4_45) = all_4_44
% 25.49/4.23 | (185) j(all_4_43) = all_4_42
% 25.49/4.23 | (186) j(all_4_41) = all_4_40
% 25.49/4.23 | (187) j(all_4_37) = all_4_36
% 25.49/4.23 | (188) j(all_4_35) = all_4_34
% 25.49/4.23 | (189) j(all_4_33) = all_4_32
% 25.49/4.23 | (190) j(all_4_29) = all_4_28
% 25.49/4.23 | (191) j(all_4_27) = all_4_26
% 25.49/4.23 | (192) j(all_4_23) = all_4_22
% 25.49/4.23 | (193) j(all_4_19) = all_4_18
% 25.49/4.23 | (194) j(all_4_17) = all_4_16
% 25.49/4.23 | (195) j(all_4_15) = all_4_14
% 25.49/4.23 | (196) j(all_4_11) = all_4_10
% 25.49/4.23 | (197) j(all_4_9) = all_4_8
% 25.49/4.23 | (198) j(all_4_7) = all_4_6
% 25.49/4.23 | (199) j(all_4_1) = all_4_0
% 25.49/4.23 | (200) h(e11) = all_4_154
% 25.49/4.23 | (201) h(e10) = all_4_155
% 25.49/4.23 | (202) h(e12) = all_4_153
% 25.49/4.23 | (203) h(e13) = all_4_152
% 25.49/4.23 | (204) h(e14) = all_4_151
% 25.49/4.23 | (205) h(e15) = all_4_150
% 25.49/4.23 | (206) h(all_4_149) = e20
% 25.49/4.23 | (207) h(all_4_146) = e23
% 25.49/4.23 | (208) h(all_4_145) = e24
% 25.49/4.23 | (209) h(all_4_144) = e25
% 25.59/4.23 | (210) h(all_4_143) = all_4_142
% 25.59/4.23 | (211) h(all_4_141) = all_4_140
% 25.59/4.23 | (212) h(all_4_139) = all_4_138
% 25.59/4.23 | (213) h(all_4_137) = all_4_136
% 25.59/4.23 | (214) h(all_4_135) = all_4_134
% 25.59/4.23 | (215) h(all_4_133) = all_4_132
% 25.59/4.23 | (216) h(all_4_131) = all_4_130
% 25.59/4.23 | (217) h(all_4_129) = all_4_128
% 25.59/4.23 | (218) h(all_4_127) = all_4_126
% 25.59/4.23 | (219) h(all_4_125) = all_4_124
% 25.59/4.23 | (220) h(all_4_123) = all_4_122
% 25.59/4.23 | (221) h(all_4_121) = all_4_120
% 25.59/4.23 | (222) h(all_4_119) = all_4_118
% 25.59/4.23 | (223) h(all_4_117) = all_4_116
% 25.59/4.23 | (224) h(all_4_115) = all_4_114
% 25.59/4.23 | (225) h(all_4_113) = all_4_112
% 25.59/4.23 | (226) h(all_4_111) = all_4_110
% 25.59/4.23 | (227) h(all_4_109) = all_4_108
% 25.59/4.23 | (228) h(all_4_107) = all_4_106
% 25.59/4.23 | (229) h(all_4_105) = all_4_104
% 25.59/4.24 | (230) h(all_4_103) = all_4_102
% 25.59/4.24 | (231) h(all_4_101) = all_4_100
% 25.59/4.24 | (232) h(all_4_99) = all_4_98
% 25.59/4.24 | (233) h(all_4_97) = all_4_96
% 25.59/4.24 | (234) h(all_4_95) = all_4_94
% 25.59/4.24 | (235) h(all_4_93) = all_4_92
% 25.59/4.24 | (236) h(all_4_91) = all_4_90
% 25.59/4.24 | (237) h(all_4_89) = all_4_88
% 25.59/4.24 | (238) h(all_4_87) = all_4_86
% 25.59/4.24 | (239) h(all_4_85) = all_4_84
% 25.59/4.24 | (240) h(all_4_83) = all_4_82
% 25.59/4.24 | (241) h(all_4_81) = all_4_80
% 25.59/4.24 | (242) h(all_4_79) = all_4_78
% 25.59/4.24 | (243) h(all_4_77) = all_4_76
% 25.59/4.24 | (244) h(all_4_75) = all_4_74
% 25.59/4.24 | (245) h(all_4_73) = all_4_72
% 25.59/4.24 | (246) all_4_155 = e25 | all_4_155 = e24 | all_4_155 = e23 | all_4_155 = e22
% 25.59/4.24 | | all_4_155 = e20 | all_4_155 = e21
% 25.59/4.24 | (247) all_4_154 = e25 | all_4_154 = e24 | all_4_154 = e23 | all_4_154 = e22
% 25.59/4.24 | | all_4_154 = e20 | all_4_154 = e21
% 25.59/4.24 | (248) all_4_153 = e25 | all_4_153 = e24 | all_4_153 = e23 | all_4_153 = e22
% 25.59/4.24 | | all_4_153 = e20 | all_4_153 = e21
% 25.59/4.24 | (249) all_4_152 = e25 | all_4_152 = e24 | all_4_152 = e23 | all_4_152 = e22
% 25.59/4.24 | | all_4_152 = e20 | all_4_152 = e21
% 25.59/4.24 | (250) all_4_146 = e15 | all_4_146 = e14 | all_4_146 = e13 | all_4_146 = e12
% 25.59/4.24 | | all_4_146 = e10 | all_4_146 = e11
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e10, all_4_129, e11, e11, simplifying
% 25.59/4.24 | with (15), (87) gives:
% 25.59/4.24 | (251) all_4_129 = e10
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e11, all_4_131, e10, e11, simplifying
% 25.59/4.24 | with (16), (88) gives:
% 25.59/4.24 | (252) all_4_131 = e11
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e14, all_4_127, e12, e11, simplifying
% 25.59/4.24 | with (17), (89) gives:
% 25.59/4.24 | (253) all_4_127 = e14
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e15, all_4_125, e13, e11, simplifying
% 25.59/4.24 | with (18), (90) gives:
% 25.59/4.24 | (254) all_4_125 = e15
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e12, all_4_123, e14, e11, simplifying
% 25.59/4.24 | with (19), (91) gives:
% 25.59/4.24 | (255) all_4_123 = e12
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e13, all_4_121, e15, e11, simplifying
% 25.59/4.24 | with (20), (92) gives:
% 25.59/4.24 | (256) all_4_121 = e13
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e11, all_4_141, e11, e10, simplifying
% 25.59/4.24 | with (21), (93) gives:
% 25.59/4.24 | (257) all_4_141 = e11
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e10, all_4_143, e10, e10, simplifying
% 25.59/4.24 | with (22), (94) gives:
% 25.59/4.24 | (258) all_4_143 = e10
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e12, all_4_139, e12, e10, simplifying
% 25.59/4.24 | with (23), (95) gives:
% 25.59/4.24 | (259) all_4_139 = e12
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e13, all_4_137, e13, e10, simplifying
% 25.59/4.24 | with (24), (96) gives:
% 25.59/4.24 | (260) all_4_137 = e13
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e14, all_4_135, e14, e10, simplifying
% 25.59/4.24 | with (25), (97) gives:
% 25.59/4.24 | (261) all_4_135 = e14
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e15, all_4_133, e15, e10, simplifying
% 25.59/4.24 | with (26), (98) gives:
% 25.59/4.24 | (262) all_4_133 = e15
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e14, all_4_117, e11, e12, simplifying
% 25.59/4.24 | with (27), (99) gives:
% 25.59/4.24 | (263) all_4_117 = e14
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e12, all_4_119, e10, e12, simplifying
% 25.59/4.24 | with (28), (100) gives:
% 25.59/4.24 | (264) all_4_119 = e12
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e13, all_4_115, e12, e12, simplifying
% 25.59/4.24 | with (29), (101) gives:
% 25.59/4.24 | (265) all_4_115 = e13
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e10, all_4_113, e13, e12, simplifying
% 25.59/4.24 | with (30), (102) gives:
% 25.59/4.24 | (266) all_4_113 = e10
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e15, all_4_111, e14, e12, simplifying
% 25.59/4.24 | with (31), (103) gives:
% 25.59/4.24 | (267) all_4_111 = e15
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e11, all_4_109, e15, e12, simplifying
% 25.59/4.24 | with (32), (104) gives:
% 25.59/4.24 | (268) all_4_109 = e11
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e15, all_4_105, e11, e13, simplifying
% 25.59/4.24 | with (33), (105) gives:
% 25.59/4.24 | (269) all_4_105 = e15
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e13, all_4_107, e10, e13, simplifying
% 25.59/4.24 | with (34), (106) gives:
% 25.59/4.24 | (270) all_4_107 = e13
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e10, all_4_103, e12, e13, simplifying
% 25.59/4.24 | with (35), (107) gives:
% 25.59/4.24 | (271) all_4_103 = e10
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e12, all_4_101, e13, e13, simplifying
% 25.59/4.24 | with (36), (108) gives:
% 25.59/4.24 | (272) all_4_101 = e12
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e11, all_4_99, e14, e13, simplifying with
% 25.59/4.24 | (37), (109) gives:
% 25.59/4.24 | (273) all_4_99 = e11
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e14, all_4_97, e15, e13, simplifying with
% 25.59/4.24 | (38), (110) gives:
% 25.59/4.24 | (274) all_4_97 = e14
% 25.59/4.24 |
% 25.59/4.24 | GROUND_INST: instantiating (84) with e12, all_4_93, e11, e14, simplifying with
% 25.59/4.24 | (39), (111) gives:
% 25.59/4.25 | (275) all_4_93 = e12
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e14, all_4_95, e10, e14, simplifying with
% 25.59/4.25 | (40), (112) gives:
% 25.59/4.25 | (276) all_4_95 = e14
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e15, all_4_91, e12, e14, simplifying with
% 25.59/4.25 | (41), (113) gives:
% 25.59/4.25 | (277) all_4_91 = e15
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e11, all_4_89, e13, e14, simplifying with
% 25.59/4.25 | (42), (114) gives:
% 25.59/4.25 | (278) all_4_89 = e11
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e13, all_4_87, e14, e14, simplifying with
% 25.59/4.25 | (43), (115) gives:
% 25.59/4.25 | (279) all_4_87 = e13
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e10, all_4_85, e15, e14, simplifying with
% 25.59/4.25 | (44), (116) gives:
% 25.59/4.25 | (280) all_4_85 = e10
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e13, all_4_81, e11, e15, simplifying with
% 25.59/4.25 | (45), (117) gives:
% 25.59/4.25 | (281) all_4_81 = e13
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e15, all_4_83, e10, e15, simplifying with
% 25.59/4.25 | (46), (118) gives:
% 25.59/4.25 | (282) all_4_83 = e15
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e11, all_4_79, e12, e15, simplifying with
% 25.59/4.25 | (47), (119) gives:
% 25.59/4.25 | (283) all_4_79 = e11
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e14, all_4_77, e13, e15, simplifying with
% 25.59/4.25 | (48), (120) gives:
% 25.59/4.25 | (284) all_4_77 = e14
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e10, all_4_75, e14, e15, simplifying with
% 25.59/4.25 | (49), (121) gives:
% 25.59/4.25 | (285) all_4_75 = e10
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (84) with e12, all_4_73, e15, e15, simplifying with
% 25.59/4.25 | (50), (122) gives:
% 25.59/4.25 | (286) all_4_73 = e12
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_57, e21, e21, simplifying with
% 25.59/4.25 | (51), (128) gives:
% 25.59/4.25 | (287) all_4_57 = e20
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_55, e22, e21, simplifying with
% 25.59/4.25 | (52), (129) gives:
% 25.59/4.25 | (288) all_4_55 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e22, all_4_53, e23, e21, simplifying with
% 25.59/4.25 | (53), (130) gives:
% 25.59/4.25 | (289) all_4_53 = e22
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_51, e24, e21, simplifying with
% 25.59/4.25 | (54), (131) gives:
% 25.59/4.25 | (290) all_4_51 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_49, e25, e21, simplifying with
% 25.59/4.25 | (55), (132) gives:
% 25.59/4.25 | (291) all_4_49 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_71, e20, e20, simplifying with
% 25.59/4.25 | (56), (133) gives:
% 25.59/4.25 | (292) all_4_71 = e20
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_65, e23, e20, simplifying with
% 25.59/4.25 | (57), (134) gives:
% 25.59/4.25 | (293) all_4_65 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_63, e24, e20, simplifying with
% 25.59/4.25 | (58), (135) gives:
% 25.59/4.25 | (294) all_4_63 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_61, e25, e20, simplifying with
% 25.59/4.25 | (59), (136) gives:
% 25.59/4.25 | (295) all_4_61 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_45, e21, e22, simplifying with
% 25.59/4.25 | (60), (137) gives:
% 25.59/4.25 | (296) all_4_45 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_43, e22, e22, simplifying with
% 25.59/4.25 | (61), (138) gives:
% 25.59/4.25 | (297) all_4_43 = e20
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_41, e23, e22, simplifying with
% 25.59/4.25 | (62), (139) gives:
% 25.59/4.25 | (298) all_4_41 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e21, all_4_39, e24, e22, simplifying with
% 25.59/4.25 | (63), (140) gives:
% 25.59/4.25 | (299) all_4_39 = e21
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_37, e25, e22, simplifying with
% 25.59/4.25 | (64), (141) gives:
% 25.59/4.25 | (300) all_4_37 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_33, e21, e23, simplifying with
% 25.59/4.25 | (65), (142) gives:
% 25.59/4.25 | (301) all_4_33 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_35, e20, e23, simplifying with
% 25.59/4.25 | (66), (143) gives:
% 25.59/4.25 | (302) all_4_35 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e21, all_4_31, e22, e23, simplifying with
% 25.59/4.25 | (67), (144) gives:
% 25.59/4.25 | (303) all_4_31 = e21
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_29, e23, e23, simplifying with
% 25.59/4.25 | (68), (145) gives:
% 25.59/4.25 | (304) all_4_29 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_27, e24, e23, simplifying with
% 25.59/4.25 | (69), (146) gives:
% 25.59/4.25 | (305) all_4_27 = e20
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e22, all_4_21, e21, e24, simplifying with
% 25.59/4.25 | (70), (147) gives:
% 25.59/4.25 | (306) all_4_21 = e22
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_23, e20, e24, simplifying with
% 25.59/4.25 | (71), (148) gives:
% 25.59/4.25 | (307) all_4_23 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_19, e22, e24, simplifying with
% 25.59/4.25 | (72), (149) gives:
% 25.59/4.25 | (308) all_4_19 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_17, e23, e24, simplifying with
% 25.59/4.25 | (73), (150) gives:
% 25.59/4.25 | (309) all_4_17 = e20
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_15, e24, e24, simplifying with
% 25.59/4.25 | (74), (151) gives:
% 25.59/4.25 | (310) all_4_15 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e21, all_4_13, e25, e24, simplifying with
% 25.59/4.25 | (75), (152) gives:
% 25.59/4.25 | (311) all_4_13 = e21
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e23, all_4_9, e21, e25, simplifying with
% 25.59/4.25 | (76), (153) gives:
% 25.59/4.25 | (312) all_4_9 = e23
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e25, all_4_11, e20, e25, simplifying with
% 25.59/4.25 | (77), (154) gives:
% 25.59/4.25 | (313) all_4_11 = e25
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e24, all_4_7, e22, e25, simplifying with
% 25.59/4.25 | (78), (155) gives:
% 25.59/4.25 | (314) all_4_7 = e24
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e22, all_4_3, e24, e25, simplifying with
% 25.59/4.25 | (79), (156) gives:
% 25.59/4.25 | (315) all_4_3 = e22
% 25.59/4.25 |
% 25.59/4.25 | GROUND_INST: instantiating (85) with e20, all_4_1, e25, e25, simplifying with
% 25.59/4.25 | (80), (157) gives:
% 25.59/4.25 | (316) all_4_1 = e20
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (245), (286) imply:
% 25.59/4.25 | (317) h(e12) = all_4_72
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (244), (285) imply:
% 25.59/4.25 | (318) h(e10) = all_4_74
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (243), (284) imply:
% 25.59/4.25 | (319) h(e14) = all_4_76
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (242), (283) imply:
% 25.59/4.25 | (320) h(e11) = all_4_78
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (241), (281) imply:
% 25.59/4.25 | (321) h(e13) = all_4_80
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (240), (282) imply:
% 25.59/4.25 | (322) h(e15) = all_4_82
% 25.59/4.25 |
% 25.59/4.25 | REDUCE: (239), (280) imply:
% 25.59/4.26 | (323) h(e10) = all_4_84
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (238), (279) imply:
% 25.59/4.26 | (324) h(e13) = all_4_86
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (237), (278) imply:
% 25.59/4.26 | (325) h(e11) = all_4_88
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (236), (277) imply:
% 25.59/4.26 | (326) h(e15) = all_4_90
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (235), (275) imply:
% 25.59/4.26 | (327) h(e12) = all_4_92
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (234), (276) imply:
% 25.59/4.26 | (328) h(e14) = all_4_94
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (233), (274) imply:
% 25.59/4.26 | (329) h(e14) = all_4_96
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (232), (273) imply:
% 25.59/4.26 | (330) h(e11) = all_4_98
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (231), (272) imply:
% 25.59/4.26 | (331) h(e12) = all_4_100
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (230), (271) imply:
% 25.59/4.26 | (332) h(e10) = all_4_102
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (229), (269) imply:
% 25.59/4.26 | (333) h(e15) = all_4_104
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (228), (270) imply:
% 25.59/4.26 | (334) h(e13) = all_4_106
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (227), (268) imply:
% 25.59/4.26 | (335) h(e11) = all_4_108
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (226), (267) imply:
% 25.59/4.26 | (336) h(e15) = all_4_110
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (225), (266) imply:
% 25.59/4.26 | (337) h(e10) = all_4_112
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (224), (265) imply:
% 25.59/4.26 | (338) h(e13) = all_4_114
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (223), (263) imply:
% 25.59/4.26 | (339) h(e14) = all_4_116
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (222), (264) imply:
% 25.59/4.26 | (340) h(e12) = all_4_118
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (221), (256) imply:
% 25.59/4.26 | (341) h(e13) = all_4_120
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (220), (255) imply:
% 25.59/4.26 | (342) h(e12) = all_4_122
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (219), (254) imply:
% 25.59/4.26 | (343) h(e15) = all_4_124
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (218), (253) imply:
% 25.59/4.26 | (344) h(e14) = all_4_126
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (217), (251) imply:
% 25.59/4.26 | (345) h(e10) = all_4_128
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (216), (252) imply:
% 25.59/4.26 | (346) h(e11) = all_4_130
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (215), (262) imply:
% 25.59/4.26 | (347) h(e15) = all_4_132
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (214), (261) imply:
% 25.59/4.26 | (348) h(e14) = all_4_134
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (213), (260) imply:
% 25.59/4.26 | (349) h(e13) = all_4_136
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (212), (259) imply:
% 25.59/4.26 | (350) h(e12) = all_4_138
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (211), (257) imply:
% 25.59/4.26 | (351) h(e11) = all_4_140
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (210), (258) imply:
% 25.59/4.26 | (352) h(e10) = all_4_142
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (199), (316) imply:
% 25.59/4.26 | (353) j(e20) = all_4_0
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (198), (314) imply:
% 25.59/4.26 | (354) j(e24) = all_4_6
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (197), (312) imply:
% 25.59/4.26 | (355) j(e23) = all_4_8
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (196), (313) imply:
% 25.59/4.26 | (356) j(e25) = all_4_10
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (195), (310) imply:
% 25.59/4.26 | (357) j(e23) = all_4_14
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (194), (309) imply:
% 25.59/4.26 | (358) j(e20) = all_4_16
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (193), (308) imply:
% 25.59/4.26 | (359) j(e25) = all_4_18
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (192), (307) imply:
% 25.59/4.26 | (360) j(e24) = all_4_22
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (191), (305) imply:
% 25.59/4.26 | (361) j(e20) = all_4_26
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (190), (304) imply:
% 25.59/4.26 | (362) j(e24) = all_4_28
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (189), (301) imply:
% 25.59/4.26 | (363) j(e25) = all_4_32
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (188), (302) imply:
% 25.59/4.26 | (364) j(e23) = all_4_34
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (187), (300) imply:
% 25.59/4.26 | (365) j(e23) = all_4_36
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (186), (298) imply:
% 25.59/4.26 | (366) j(e25) = all_4_40
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (185), (297) imply:
% 25.59/4.26 | (367) j(e20) = all_4_42
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (184), (296) imply:
% 25.59/4.26 | (368) j(e24) = all_4_44
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (183), (291) imply:
% 25.59/4.26 | (369) j(e24) = all_4_48
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (182), (290) imply:
% 25.59/4.26 | (370) j(e25) = all_4_50
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (181), (288) imply:
% 25.59/4.26 | (371) j(e23) = all_4_54
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (180), (287) imply:
% 25.59/4.26 | (372) j(e20) = all_4_56
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (179), (295) imply:
% 25.59/4.26 | (373) j(e25) = all_4_60
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (178), (294) imply:
% 25.59/4.26 | (374) j(e24) = all_4_62
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (177), (293) imply:
% 25.59/4.26 | (375) j(e23) = all_4_64
% 25.59/4.26 |
% 25.59/4.26 | REDUCE: (176), (292) imply:
% 25.59/4.26 | (376) j(e20) = all_4_70
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_149, all_4_56, e20, simplifying
% 25.59/4.26 | with (168), (372) gives:
% 25.59/4.26 | (377) all_4_56 = all_4_149
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_26, all_4_16, e20, simplifying with
% 25.59/4.26 | (358), (361) gives:
% 25.59/4.26 | (378) all_4_16 = all_4_26
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_70, all_4_16, e20, simplifying with
% 25.59/4.26 | (358), (376) gives:
% 25.59/4.26 | (379) all_4_16 = all_4_70
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_26, all_4_0, e20, simplifying with
% 25.59/4.26 | (353), (361) gives:
% 25.59/4.26 | (380) all_4_0 = all_4_26
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_42, all_4_0, e20, simplifying with
% 25.59/4.26 | (353), (367) gives:
% 25.59/4.26 | (381) all_4_0 = all_4_42
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_56, all_4_0, e20, simplifying with
% 25.59/4.26 | (353), (372) gives:
% 25.59/4.26 | (382) all_4_0 = all_4_56
% 25.59/4.26 |
% 25.59/4.26 | GROUND_INST: instantiating (82) with all_4_54, all_4_36, e23, simplifying with
% 25.59/4.26 | (365), (371) gives:
% 25.59/4.26 | (383) all_4_36 = all_4_54
% 25.59/4.26 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_36, all_4_34, e23, simplifying with
% 25.59/4.27 | (364), (365) gives:
% 25.59/4.27 | (384) all_4_34 = all_4_36
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_146, all_4_14, e23, simplifying
% 25.59/4.27 | with (169), (357) gives:
% 25.59/4.27 | (385) all_4_14 = all_4_146
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_34, all_4_14, e23, simplifying with
% 25.59/4.27 | (357), (364) gives:
% 25.59/4.27 | (386) all_4_14 = all_4_34
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_36, all_4_8, e23, simplifying with
% 25.59/4.27 | (355), (365) gives:
% 25.59/4.27 | (387) all_4_8 = all_4_36
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_64, all_4_8, e23, simplifying with
% 25.59/4.27 | (355), (375) gives:
% 25.59/4.27 | (388) all_4_8 = all_4_64
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_145, all_4_48, e24, simplifying
% 25.59/4.27 | with (170), (369) gives:
% 25.59/4.27 | (389) all_4_48 = all_4_145
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_48, all_4_44, e24, simplifying with
% 25.59/4.27 | (368), (369) gives:
% 25.59/4.27 | (390) all_4_44 = all_4_48
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_28, all_4_22, e24, simplifying with
% 25.59/4.27 | (360), (362) gives:
% 25.59/4.27 | (391) all_4_22 = all_4_28
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_44, all_4_22, e24, simplifying with
% 25.59/4.27 | (360), (368) gives:
% 25.59/4.27 | (392) all_4_22 = all_4_44
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_22, all_4_6, e24, simplifying with
% 25.59/4.27 | (354), (360) gives:
% 25.59/4.27 | (393) all_4_6 = all_4_22
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_62, all_4_6, e24, simplifying with
% 25.59/4.27 | (354), (374) gives:
% 25.59/4.27 | (394) all_4_6 = all_4_62
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_144, all_4_50, e25, simplifying
% 25.59/4.27 | with (171), (370) gives:
% 25.59/4.27 | (395) all_4_50 = all_4_144
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_50, all_4_32, e25, simplifying with
% 25.59/4.27 | (363), (370) gives:
% 25.59/4.27 | (396) all_4_32 = all_4_50
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_60, all_4_32, e25, simplifying with
% 25.59/4.27 | (363), (373) gives:
% 25.59/4.27 | (397) all_4_32 = all_4_60
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_32, all_4_18, e25, simplifying with
% 25.59/4.27 | (359), (363) gives:
% 25.59/4.27 | (398) all_4_18 = all_4_32
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_18, all_4_10, e25, simplifying with
% 25.59/4.27 | (356), (359) gives:
% 25.59/4.27 | (399) all_4_10 = all_4_18
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (82) with all_4_40, all_4_10, e25, simplifying with
% 25.59/4.27 | (356), (366) gives:
% 25.59/4.27 | (400) all_4_10 = all_4_40
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_154, all_4_98, e11, simplifying
% 25.59/4.27 | with (200), (330) gives:
% 25.59/4.27 | (401) all_4_98 = all_4_154
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_130, all_4_88, e11, simplifying
% 25.59/4.27 | with (325), (346) gives:
% 25.59/4.27 | (402) all_4_88 = all_4_130
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_88, all_4_78, e11, simplifying with
% 25.59/4.27 | (320), (325) gives:
% 25.59/4.27 | (403) all_4_78 = all_4_88
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_98, all_4_78, e11, simplifying with
% 25.59/4.27 | (320), (330) gives:
% 25.59/4.27 | (404) all_4_78 = all_4_98
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_108, all_4_78, e11, simplifying
% 25.59/4.27 | with (320), (335) gives:
% 25.59/4.27 | (405) all_4_78 = all_4_108
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_140, all_4_78, e11, simplifying
% 25.59/4.27 | with (320), (351) gives:
% 25.59/4.27 | (406) all_4_78 = all_4_140
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_142, all_4_128, e10, simplifying
% 25.59/4.27 | with (345), (352) gives:
% 25.59/4.27 | (407) all_4_128 = all_4_142
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_128, all_4_112, e10, simplifying
% 25.59/4.27 | with (337), (345) gives:
% 25.59/4.27 | (408) all_4_112 = all_4_128
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_112, all_4_102, e10, simplifying
% 25.59/4.27 | with (332), (337) gives:
% 25.59/4.27 | (409) all_4_102 = all_4_112
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_155, all_4_74, e10, simplifying
% 25.59/4.27 | with (201), (318) gives:
% 25.59/4.27 | (410) all_4_74 = all_4_155
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_84, all_4_74, e10, simplifying with
% 25.59/4.27 | (318), (323) gives:
% 25.59/4.27 | (411) all_4_74 = all_4_84
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_102, all_4_74, e10, simplifying
% 25.59/4.27 | with (318), (332) gives:
% 25.59/4.27 | (412) all_4_74 = all_4_102
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_153, all_4_92, e12, simplifying
% 25.59/4.27 | with (202), (327) gives:
% 25.59/4.27 | (413) all_4_92 = all_4_153
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_100, all_4_92, e12, simplifying
% 25.59/4.27 | with (327), (331) gives:
% 25.59/4.27 | (414) all_4_92 = all_4_100
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_122, all_4_92, e12, simplifying
% 25.59/4.27 | with (327), (342) gives:
% 25.59/4.27 | (415) all_4_92 = all_4_122
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_138, all_4_92, e12, simplifying
% 25.59/4.27 | with (327), (350) gives:
% 25.59/4.27 | (416) all_4_92 = all_4_138
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_92, all_4_72, e12, simplifying with
% 25.59/4.27 | (317), (327) gives:
% 25.59/4.27 | (417) all_4_72 = all_4_92
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_118, all_4_72, e12, simplifying
% 25.59/4.27 | with (317), (340) gives:
% 25.59/4.27 | (418) all_4_72 = all_4_118
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_152, all_4_120, e13, simplifying
% 25.59/4.27 | with (203), (341) gives:
% 25.59/4.27 | (419) all_4_120 = all_4_152
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_120, all_4_114, e13, simplifying
% 25.59/4.27 | with (338), (341) gives:
% 25.59/4.27 | (420) all_4_114 = all_4_120
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_136, all_4_86, e13, simplifying
% 25.59/4.27 | with (324), (349) gives:
% 25.59/4.27 | (421) all_4_86 = all_4_136
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_86, all_4_80, e13, simplifying with
% 25.59/4.27 | (321), (324) gives:
% 25.59/4.27 | (422) all_4_80 = all_4_86
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_106, all_4_80, e13, simplifying
% 25.59/4.27 | with (321), (334) gives:
% 25.59/4.27 | (423) all_4_80 = all_4_106
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_114, all_4_80, e13, simplifying
% 25.59/4.27 | with (321), (338) gives:
% 25.59/4.27 | (424) all_4_80 = all_4_114
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_151, all_4_116, e14, simplifying
% 25.59/4.27 | with (204), (339) gives:
% 25.59/4.27 | (425) all_4_116 = all_4_151
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_116, all_4_96, e14, simplifying
% 25.59/4.27 | with (329), (339) gives:
% 25.59/4.27 | (426) all_4_96 = all_4_116
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_96, all_4_94, e14, simplifying with
% 25.59/4.27 | (328), (329) gives:
% 25.59/4.27 | (427) all_4_94 = all_4_96
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_126, all_4_94, e14, simplifying
% 25.59/4.27 | with (328), (344) gives:
% 25.59/4.27 | (428) all_4_94 = all_4_126
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_116, all_4_76, e14, simplifying
% 25.59/4.27 | with (319), (339) gives:
% 25.59/4.27 | (429) all_4_76 = all_4_116
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_134, all_4_76, e14, simplifying
% 25.59/4.27 | with (319), (348) gives:
% 25.59/4.27 | (430) all_4_76 = all_4_134
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_150, all_4_124, e15, simplifying
% 25.59/4.27 | with (205), (343) gives:
% 25.59/4.27 | (431) all_4_124 = all_4_150
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_104, all_4_90, e15, simplifying
% 25.59/4.27 | with (326), (333) gives:
% 25.59/4.27 | (432) all_4_90 = all_4_104
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_132, all_4_90, e15, simplifying
% 25.59/4.27 | with (326), (347) gives:
% 25.59/4.27 | (433) all_4_90 = all_4_132
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_90, all_4_82, e15, simplifying with
% 25.59/4.27 | (322), (326) gives:
% 25.59/4.27 | (434) all_4_82 = all_4_90
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_110, all_4_82, e15, simplifying
% 25.59/4.27 | with (322), (336) gives:
% 25.59/4.27 | (435) all_4_82 = all_4_110
% 25.59/4.27 |
% 25.59/4.27 | GROUND_INST: instantiating (83) with all_4_124, all_4_82, e15, simplifying
% 25.59/4.27 | with (322), (343) gives:
% 25.59/4.27 | (436) all_4_82 = all_4_124
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (380), (381) imply:
% 25.59/4.27 | (437) all_4_26 = all_4_42
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (437) implies:
% 25.59/4.27 | (438) all_4_26 = all_4_42
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (381), (382) imply:
% 25.59/4.27 | (439) all_4_42 = all_4_56
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (393), (394) imply:
% 25.59/4.27 | (440) all_4_22 = all_4_62
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (440) implies:
% 25.59/4.27 | (441) all_4_22 = all_4_62
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (387), (388) imply:
% 25.59/4.27 | (442) all_4_36 = all_4_64
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (442) implies:
% 25.59/4.27 | (443) all_4_36 = all_4_64
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (399), (400) imply:
% 25.59/4.27 | (444) all_4_18 = all_4_40
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (444) implies:
% 25.59/4.27 | (445) all_4_18 = all_4_40
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (385), (386) imply:
% 25.59/4.27 | (446) all_4_34 = all_4_146
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (446) implies:
% 25.59/4.27 | (447) all_4_34 = all_4_146
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (378), (379) imply:
% 25.59/4.27 | (448) all_4_26 = all_4_70
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (448) implies:
% 25.59/4.27 | (449) all_4_26 = all_4_70
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (398), (445) imply:
% 25.59/4.27 | (450) all_4_32 = all_4_40
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (450) implies:
% 25.59/4.27 | (451) all_4_32 = all_4_40
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (391), (392) imply:
% 25.59/4.27 | (452) all_4_28 = all_4_44
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (391), (441) imply:
% 25.59/4.27 | (453) all_4_28 = all_4_62
% 25.59/4.27 |
% 25.59/4.27 | COMBINE_EQS: (438), (449) imply:
% 25.59/4.27 | (454) all_4_42 = all_4_70
% 25.59/4.27 |
% 25.59/4.27 | SIMP: (454) implies:
% 25.59/4.27 | (455) all_4_42 = all_4_70
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (452), (453) imply:
% 25.59/4.28 | (456) all_4_44 = all_4_62
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (456) implies:
% 25.59/4.28 | (457) all_4_44 = all_4_62
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (397), (451) imply:
% 25.59/4.28 | (458) all_4_40 = all_4_60
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (396), (451) imply:
% 25.59/4.28 | (459) all_4_40 = all_4_50
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (384), (447) imply:
% 25.59/4.28 | (460) all_4_36 = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (460) implies:
% 25.59/4.28 | (461) all_4_36 = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (383), (461) imply:
% 25.59/4.28 | (462) all_4_54 = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (383), (443) imply:
% 25.59/4.28 | (463) all_4_54 = all_4_64
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (458), (459) imply:
% 25.59/4.28 | (464) all_4_50 = all_4_60
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (464) implies:
% 25.59/4.28 | (465) all_4_50 = all_4_60
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (439), (455) imply:
% 25.59/4.28 | (466) all_4_56 = all_4_70
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (466) implies:
% 25.59/4.28 | (467) all_4_56 = all_4_70
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (390), (457) imply:
% 25.59/4.28 | (468) all_4_48 = all_4_62
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (468) implies:
% 25.59/4.28 | (469) all_4_48 = all_4_62
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (389), (469) imply:
% 25.59/4.28 | (470) all_4_62 = all_4_145
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (395), (465) imply:
% 25.59/4.28 | (471) all_4_60 = all_4_144
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (462), (463) imply:
% 25.59/4.28 | (472) all_4_64 = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (472) implies:
% 25.59/4.28 | (473) all_4_64 = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (377), (467) imply:
% 25.59/4.28 | (474) all_4_70 = all_4_149
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (417), (418) imply:
% 25.59/4.28 | (475) all_4_92 = all_4_118
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (475) implies:
% 25.59/4.28 | (476) all_4_92 = all_4_118
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (410), (411) imply:
% 25.59/4.28 | (477) all_4_84 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (411), (412) imply:
% 25.59/4.28 | (478) all_4_84 = all_4_102
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (429), (430) imply:
% 25.59/4.28 | (479) all_4_116 = all_4_134
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (479) implies:
% 25.59/4.28 | (480) all_4_116 = all_4_134
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (404), (405) imply:
% 25.59/4.28 | (481) all_4_98 = all_4_108
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (481) implies:
% 25.59/4.28 | (482) all_4_98 = all_4_108
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (403), (405) imply:
% 25.59/4.28 | (483) all_4_88 = all_4_108
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (483) implies:
% 25.59/4.28 | (484) all_4_88 = all_4_108
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (405), (406) imply:
% 25.59/4.28 | (485) all_4_108 = all_4_140
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (423), (424) imply:
% 25.59/4.28 | (486) all_4_106 = all_4_114
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (422), (423) imply:
% 25.59/4.28 | (487) all_4_86 = all_4_106
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (487) implies:
% 25.59/4.28 | (488) all_4_86 = all_4_106
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (435), (436) imply:
% 25.59/4.28 | (489) all_4_110 = all_4_124
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (434), (435) imply:
% 25.59/4.28 | (490) all_4_90 = all_4_110
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (490) implies:
% 25.59/4.28 | (491) all_4_90 = all_4_110
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (477), (478) imply:
% 25.59/4.28 | (492) all_4_102 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (492) implies:
% 25.59/4.28 | (493) all_4_102 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (421), (488) imply:
% 25.59/4.28 | (494) all_4_106 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (494) implies:
% 25.59/4.28 | (495) all_4_106 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (402), (484) imply:
% 25.59/4.28 | (496) all_4_108 = all_4_130
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (496) implies:
% 25.59/4.28 | (497) all_4_108 = all_4_130
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (432), (433) imply:
% 25.59/4.28 | (498) all_4_104 = all_4_132
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (432), (491) imply:
% 25.59/4.28 | (499) all_4_104 = all_4_110
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (413), (414) imply:
% 25.59/4.28 | (500) all_4_100 = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (414), (415) imply:
% 25.59/4.28 | (501) all_4_100 = all_4_122
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (414), (416) imply:
% 25.59/4.28 | (502) all_4_100 = all_4_138
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (414), (476) imply:
% 25.59/4.28 | (503) all_4_100 = all_4_118
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (427), (428) imply:
% 25.59/4.28 | (504) all_4_96 = all_4_126
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (504) implies:
% 25.59/4.28 | (505) all_4_96 = all_4_126
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (426), (505) imply:
% 25.59/4.28 | (506) all_4_116 = all_4_126
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (506) implies:
% 25.59/4.28 | (507) all_4_116 = all_4_126
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (401), (482) imply:
% 25.59/4.28 | (508) all_4_108 = all_4_154
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (508) implies:
% 25.59/4.28 | (509) all_4_108 = all_4_154
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (501), (503) imply:
% 25.59/4.28 | (510) all_4_118 = all_4_122
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (502), (503) imply:
% 25.59/4.28 | (511) all_4_118 = all_4_138
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (500), (503) imply:
% 25.59/4.28 | (512) all_4_118 = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (409), (493) imply:
% 25.59/4.28 | (513) all_4_112 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (513) implies:
% 25.59/4.28 | (514) all_4_112 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (498), (499) imply:
% 25.59/4.28 | (515) all_4_110 = all_4_132
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (515) implies:
% 25.59/4.28 | (516) all_4_110 = all_4_132
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (486), (495) imply:
% 25.59/4.28 | (517) all_4_114 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (517) implies:
% 25.59/4.28 | (518) all_4_114 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (497), (509) imply:
% 25.59/4.28 | (519) all_4_130 = all_4_154
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (485), (497) imply:
% 25.59/4.28 | (520) all_4_130 = all_4_140
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (489), (516) imply:
% 25.59/4.28 | (521) all_4_124 = all_4_132
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (521) implies:
% 25.59/4.28 | (522) all_4_124 = all_4_132
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (408), (514) imply:
% 25.59/4.28 | (523) all_4_128 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (523) implies:
% 25.59/4.28 | (524) all_4_128 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (420), (518) imply:
% 25.59/4.28 | (525) all_4_120 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (525) implies:
% 25.59/4.28 | (526) all_4_120 = all_4_136
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (425), (507) imply:
% 25.59/4.28 | (527) all_4_126 = all_4_151
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (480), (507) imply:
% 25.59/4.28 | (528) all_4_126 = all_4_134
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (510), (511) imply:
% 25.59/4.28 | (529) all_4_122 = all_4_138
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (510), (512) imply:
% 25.59/4.28 | (530) all_4_122 = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (419), (526) imply:
% 25.59/4.28 | (531) all_4_136 = all_4_152
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (529), (530) imply:
% 25.59/4.28 | (532) all_4_138 = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (532) implies:
% 25.59/4.28 | (533) all_4_138 = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (431), (522) imply:
% 25.59/4.28 | (534) all_4_132 = all_4_150
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (527), (528) imply:
% 25.59/4.28 | (535) all_4_134 = all_4_151
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (407), (524) imply:
% 25.59/4.28 | (536) all_4_142 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (536) implies:
% 25.59/4.28 | (537) all_4_142 = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (519), (520) imply:
% 25.59/4.28 | (538) all_4_140 = all_4_154
% 25.59/4.28 |
% 25.59/4.28 | SIMP: (538) implies:
% 25.59/4.28 | (539) all_4_140 = all_4_154
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (518), (531) imply:
% 25.59/4.28 | (540) all_4_114 = all_4_152
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (498), (534) imply:
% 25.59/4.28 | (541) all_4_104 = all_4_150
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (455), (474) imply:
% 25.59/4.28 | (542) all_4_42 = all_4_149
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (458), (471) imply:
% 25.59/4.28 | (543) all_4_40 = all_4_144
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (453), (470) imply:
% 25.59/4.28 | (544) all_4_28 = all_4_145
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (400), (543) imply:
% 25.59/4.28 | (545) all_4_10 = all_4_144
% 25.59/4.28 |
% 25.59/4.28 | COMBINE_EQS: (381), (542) imply:
% 25.59/4.28 | (546) all_4_0 = all_4_149
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (167), (500) imply:
% 25.59/4.28 | (547) op2(all_4_152, all_4_152) = all_4_153
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (166), (493) imply:
% 25.59/4.28 | (548) op2(all_4_152, all_4_153) = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (165), (541) imply:
% 25.59/4.28 | (549) op2(all_4_152, all_4_154) = all_4_150
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (164), (514) imply:
% 25.59/4.28 | (550) op2(all_4_153, all_4_152) = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (163), (540) imply:
% 25.59/4.28 | (551) op2(all_4_153, all_4_153) = all_4_152
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (162), (425) imply:
% 25.59/4.28 | (552) op2(all_4_153, all_4_154) = all_4_151
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (161), (431) imply:
% 25.59/4.28 | (553) op2(all_4_154, all_4_152) = all_4_150
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (160), (527) imply:
% 25.59/4.28 | (554) op2(all_4_154, all_4_153) = all_4_151
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (159), (524) imply:
% 25.59/4.28 | (555) op2(all_4_154, all_4_154) = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (158), (537) imply:
% 25.59/4.28 | (556) op2(all_4_155, all_4_155) = all_4_155
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (127), (546) imply:
% 25.59/4.28 | (557) op1(all_4_144, all_4_144) = all_4_149
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (126), (545) imply:
% 25.59/4.28 | (558) op1(all_4_144, all_4_149) = all_4_144
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (125), (385) imply:
% 25.59/4.28 | (559) op1(all_4_145, all_4_145) = all_4_146
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (124), (544) imply:
% 25.59/4.28 | (560) op1(all_4_146, all_4_146) = all_4_145
% 25.59/4.28 |
% 25.59/4.28 | REDUCE: (123), (474) imply:
% 25.59/4.28 | (561) op1(all_4_149, all_4_149) = all_4_149
% 25.59/4.28 |
% 25.59/4.28 | BETA: splitting (246) gives:
% 25.59/4.28 |
% 25.59/4.29 | Case 1:
% 25.59/4.29 | |
% 25.59/4.29 | | (562) all_4_155 = e25
% 25.59/4.29 | |
% 25.59/4.29 | | REDUCE: (556), (562) imply:
% 25.59/4.29 | | (563) op2(e25, e25) = e25
% 25.59/4.29 | |
% 25.59/4.29 | | GROUND_INST: instantiating (85) with e20, e25, e25, e25, simplifying with
% 25.59/4.29 | | (80), (563) gives:
% 25.59/4.29 | | (564) e25 = e20
% 25.59/4.29 | |
% 25.59/4.29 | | REDUCE: (12), (564) imply:
% 25.59/4.29 | | (565) $false
% 25.59/4.29 | |
% 25.59/4.29 | | CLOSE: (565) is inconsistent.
% 25.59/4.29 | |
% 25.59/4.29 | Case 2:
% 25.59/4.29 | |
% 25.59/4.29 | | (566) ~ (all_4_155 = e25)
% 25.59/4.29 | | (567) all_4_155 = e24 | all_4_155 = e23 | all_4_155 = e22 | all_4_155 =
% 25.59/4.29 | | e20 | all_4_155 = e21
% 25.59/4.29 | |
% 25.59/4.29 | | BETA: splitting (250) gives:
% 25.59/4.29 | |
% 25.59/4.29 | | Case 1:
% 25.59/4.29 | | |
% 25.59/4.29 | | | (568) all_4_146 = e15
% 25.59/4.29 | | |
% 25.59/4.29 | | | REDUCE: (559), (568) imply:
% 25.59/4.29 | | | (569) op1(all_4_145, all_4_145) = e15
% 25.59/4.29 | | |
% 25.59/4.29 | | | REDUCE: (560), (568) imply:
% 25.59/4.29 | | | (570) op1(e15, e15) = all_4_145
% 25.59/4.29 | | |
% 25.59/4.29 | | | GROUND_INST: instantiating (84) with e12, all_4_145, e15, e15, simplifying
% 25.59/4.29 | | | with (50), (570) gives:
% 25.59/4.29 | | | (571) all_4_145 = e12
% 25.59/4.29 | | |
% 25.59/4.29 | | | REDUCE: (569), (571) imply:
% 25.59/4.29 | | | (572) op1(e12, e12) = e15
% 25.59/4.29 | | |
% 25.59/4.29 | | | GROUND_INST: instantiating (84) with e13, e15, e12, e12, simplifying with
% 25.59/4.29 | | | (29), (572) gives:
% 25.59/4.29 | | | (573) e15 = e13
% 25.59/4.29 | | |
% 25.59/4.29 | | | REDUCE: (6), (573) imply:
% 25.59/4.29 | | | (574) $false
% 25.59/4.29 | | |
% 25.59/4.29 | | | CLOSE: (574) is inconsistent.
% 25.59/4.29 | | |
% 25.59/4.29 | | Case 2:
% 25.59/4.29 | | |
% 25.59/4.29 | | | (575) all_4_146 = e14 | all_4_146 = e13 | all_4_146 = e12 | all_4_146 =
% 25.59/4.29 | | | e10 | all_4_146 = e11
% 25.59/4.29 | | |
% 25.59/4.29 | | | BETA: splitting (247) gives:
% 25.59/4.29 | | |
% 25.59/4.29 | | | Case 1:
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | (576) all_4_154 = e25
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (173), (576) imply:
% 25.59/4.29 | | | | (577) j(e25) = e11
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (549), (576) imply:
% 25.59/4.29 | | | | (578) op2(all_4_152, e25) = all_4_150
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (552), (576) imply:
% 25.59/4.29 | | | | (579) op2(all_4_153, e25) = all_4_151
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (553), (576) imply:
% 25.59/4.29 | | | | (580) op2(e25, all_4_152) = all_4_150
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (554), (576) imply:
% 25.59/4.29 | | | | (581) op2(e25, all_4_153) = all_4_151
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (555), (576) imply:
% 25.59/4.29 | | | | (582) op2(e25, e25) = all_4_155
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | GROUND_INST: instantiating (85) with e20, all_4_155, e25, e25,
% 25.59/4.29 | | | | simplifying with (80), (582) gives:
% 25.59/4.29 | | | | (583) all_4_155 = e20
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | GROUND_INST: instantiating (82) with all_4_144, e11, e25, simplifying
% 25.59/4.29 | | | | with (171), (577) gives:
% 25.59/4.29 | | | | (584) all_4_144 = e11
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (566), (583) imply:
% 25.59/4.29 | | | | (585) ~ (e25 = e20)
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (209), (584) imply:
% 25.59/4.29 | | | | (586) h(e11) = e25
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (172), (583) imply:
% 25.59/4.29 | | | | (587) j(e20) = e10
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | GROUND_INST: instantiating (82) with all_4_149, e10, e20, simplifying
% 25.59/4.29 | | | | with (168), (587) gives:
% 25.59/4.29 | | | | (588) all_4_149 = e10
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | REDUCE: (206), (588) imply:
% 25.59/4.29 | | | | (589) h(e10) = e20
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | BETA: splitting (248) gives:
% 25.59/4.29 | | | |
% 25.59/4.29 | | | | Case 1:
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | (590) all_4_153 = e25
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | REDUCE: (547), (590) imply:
% 25.59/4.29 | | | | | (591) op2(all_4_152, all_4_152) = e25
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | REDUCE: (551), (590) imply:
% 25.59/4.29 | | | | | (592) op2(e25, e25) = all_4_152
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | REF_CLOSE: (12), (56), (80), (85), (591), (592) are inconsistent by
% 25.59/4.29 | | | | | sub-proof #4.
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | Case 2:
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | (593) all_4_153 = e24 | all_4_153 = e23 | all_4_153 = e22 |
% 25.59/4.29 | | | | | all_4_153 = e20 | all_4_153 = e21
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | BETA: splitting (249) gives:
% 25.59/4.29 | | | | |
% 25.59/4.29 | | | | | Case 1:
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | (594) all_4_152 = e25
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | REDUCE: (175), (594) imply:
% 25.59/4.29 | | | | | | (595) j(e25) = e13
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | GROUND_INST: instantiating (82) with e11, e13, e25, simplifying with
% 25.59/4.29 | | | | | | (577), (595) gives:
% 25.59/4.29 | | | | | | (596) e13 = e11
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | REDUCE: (4), (596) imply:
% 25.59/4.29 | | | | | | (597) $false
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | CLOSE: (597) is inconsistent.
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | Case 2:
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | (598) all_4_152 = e24 | all_4_152 = e23 | all_4_152 = e22 |
% 25.59/4.29 | | | | | | all_4_152 = e20 | all_4_152 = e21
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | BETA: splitting (575) gives:
% 25.59/4.29 | | | | | |
% 25.59/4.29 | | | | | | Case 1:
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | (599) all_4_146 = e14
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | REDUCE: (559), (599) imply:
% 25.59/4.29 | | | | | | | (600) op1(all_4_145, all_4_145) = e14
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | REDUCE: (560), (599) imply:
% 25.59/4.29 | | | | | | | (601) op1(e14, e14) = all_4_145
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | REF_CLOSE: (5), (36), (43), (84), (600), (601) are inconsistent by
% 25.59/4.29 | | | | | | | sub-proof #3.
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | Case 2:
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | (602) all_4_146 = e13 | all_4_146 = e12 | all_4_146 = e10 |
% 25.59/4.29 | | | | | | | all_4_146 = e11
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | BETA: splitting (593) gives:
% 25.59/4.29 | | | | | | |
% 25.59/4.29 | | | | | | | Case 1:
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | (603) all_4_153 = e24
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | REDUCE: (579), (603) imply:
% 25.59/4.29 | | | | | | | | (604) op2(e24, e25) = all_4_151
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | REDUCE: (581), (603) imply:
% 25.59/4.29 | | | | | | | | (605) op2(e25, e24) = all_4_151
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | GROUND_INST: instantiating (85) with e21, all_4_151, e25, e24,
% 25.59/4.29 | | | | | | | | simplifying with (75), (604) gives:
% 25.59/4.29 | | | | | | | | (606) all_4_151 = e21
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | GROUND_INST: instantiating (85) with e22, all_4_151, e24, e25,
% 25.59/4.29 | | | | | | | | simplifying with (79), (605) gives:
% 25.59/4.29 | | | | | | | | (607) all_4_151 = e22
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | COMBINE_EQS: (606), (607) imply:
% 25.59/4.29 | | | | | | | | (608) e22 = e21
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | SIMP: (608) implies:
% 25.59/4.29 | | | | | | | | (609) e22 = e21
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | REDUCE: (7), (609) imply:
% 25.59/4.29 | | | | | | | | (610) $false
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | CLOSE: (610) is inconsistent.
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | Case 2:
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | (611) ~ (all_4_153 = e24)
% 25.59/4.29 | | | | | | | | (612) all_4_153 = e23 | all_4_153 = e22 | all_4_153 = e20 |
% 25.59/4.29 | | | | | | | | all_4_153 = e21
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | BETA: splitting (598) gives:
% 25.59/4.29 | | | | | | | |
% 25.59/4.29 | | | | | | | | Case 1:
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | (613) all_4_152 = e24
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | REDUCE: (578), (613) imply:
% 25.59/4.29 | | | | | | | | | (614) op2(e24, e25) = all_4_150
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | REDUCE: (580), (613) imply:
% 25.59/4.29 | | | | | | | | | (615) op2(e25, e24) = all_4_150
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | GROUND_INST: instantiating (85) with e21, all_4_150, e25, e24,
% 25.59/4.29 | | | | | | | | | simplifying with (75), (614) gives:
% 25.59/4.29 | | | | | | | | | (616) all_4_150 = e21
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | GROUND_INST: instantiating (85) with e22, all_4_150, e24, e25,
% 25.59/4.29 | | | | | | | | | simplifying with (79), (615) gives:
% 25.59/4.29 | | | | | | | | | (617) all_4_150 = e22
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | COMBINE_EQS: (616), (617) imply:
% 25.59/4.29 | | | | | | | | | (618) e22 = e21
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | SIMP: (618) implies:
% 25.59/4.29 | | | | | | | | | (619) e22 = e21
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | REDUCE: (7), (619) imply:
% 25.59/4.29 | | | | | | | | | (620) $false
% 25.59/4.29 | | | | | | | | |
% 25.59/4.29 | | | | | | | | | CLOSE: (620) is inconsistent.
% 25.59/4.29 | | | | | | | | |
% 25.59/4.30 | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | (621) ~ (all_4_152 = e24)
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | BETA: splitting (602) gives:
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | (622) all_4_146 = e13
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (560), (622) imply:
% 25.59/4.30 | | | | | | | | | | (623) op1(e13, e13) = all_4_145
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REF_CLOSE: (36), (83), (84), (202), (208), (611), (623) are
% 25.59/4.30 | | | | | | | | | | inconsistent by sub-proof #2.
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | (624) all_4_146 = e12 | all_4_146 = e10 | all_4_146 = e11
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | BETA: splitting (612) gives:
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | (625) all_4_153 = e23
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | REDUCE: (551), (625) imply:
% 25.59/4.30 | | | | | | | | | | | (626) op2(e23, e23) = all_4_152
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | GROUND_INST: instantiating (85) with e24, all_4_152, e23, e23,
% 25.59/4.30 | | | | | | | | | | | simplifying with (68), (626) gives:
% 25.59/4.30 | | | | | | | | | | | (627) all_4_152 = e24
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | REDUCE: (621), (627) imply:
% 25.59/4.30 | | | | | | | | | | | (628) $false
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | CLOSE: (628) is inconsistent.
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | (629) ~ (all_4_153 = e23)
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | BETA: splitting (624) gives:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | (630) all_4_146 = e12
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | REDUCE: (207), (630) imply:
% 25.59/4.30 | | | | | | | | | | | | (631) h(e12) = e23
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | GROUND_INST: instantiating (83) with all_4_153, e23, e12,
% 25.59/4.30 | | | | | | | | | | | | simplifying with (202), (631) gives:
% 25.59/4.30 | | | | | | | | | | | | (632) all_4_153 = e23
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | REDUCE: (629), (632) imply:
% 25.59/4.30 | | | | | | | | | | | | (633) $false
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | CLOSE: (633) is inconsistent.
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | (634) all_4_146 = e10 | all_4_146 = e11
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | BETA: splitting (634) gives:
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | (635) all_4_146 = e10
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | REDUCE: (207), (635) imply:
% 25.59/4.30 | | | | | | | | | | | | | (636) h(e10) = e23
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | GROUND_INST: instantiating (83) with e20, e23, e10, simplifying
% 25.59/4.30 | | | | | | | | | | | | | with (589), (636) gives:
% 25.59/4.30 | | | | | | | | | | | | | (637) e23 = e20
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | REDUCE: (9), (637) imply:
% 25.59/4.30 | | | | | | | | | | | | | (638) $false
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | CLOSE: (638) is inconsistent.
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | (639) all_4_146 = e11
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | REDUCE: (207), (639) imply:
% 25.59/4.30 | | | | | | | | | | | | | (640) h(e11) = e23
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | GROUND_INST: instantiating (83) with e25, e23, e11, simplifying
% 25.59/4.30 | | | | | | | | | | | | | with (586), (640) gives:
% 25.59/4.30 | | | | | | | | | | | | | (641) e25 = e23
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | REDUCE: (14), (641) imply:
% 25.59/4.30 | | | | | | | | | | | | | (642) $false
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | | CLOSE: (642) is inconsistent.
% 25.59/4.30 | | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | End of split
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | End of split
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | End of split
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | End of split
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | End of split
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | End of split
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | End of split
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | End of split
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | End of split
% 25.59/4.30 | | | |
% 25.59/4.30 | | | Case 2:
% 25.59/4.30 | | | |
% 25.59/4.30 | | | | (643) all_4_154 = e24 | all_4_154 = e23 | all_4_154 = e22 | all_4_154
% 25.59/4.30 | | | | = e20 | all_4_154 = e21
% 25.59/4.30 | | | |
% 25.59/4.30 | | | | BETA: splitting (248) gives:
% 25.59/4.30 | | | |
% 25.59/4.30 | | | | Case 1:
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | (644) all_4_153 = e25
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | REDUCE: (547), (644) imply:
% 25.59/4.30 | | | | | (645) op2(all_4_152, all_4_152) = e25
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | REDUCE: (551), (644) imply:
% 25.59/4.30 | | | | | (646) op2(e25, e25) = all_4_152
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | REF_CLOSE: (12), (56), (80), (85), (645), (646) are inconsistent by
% 25.59/4.30 | | | | | sub-proof #4.
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | Case 2:
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | (647) all_4_153 = e24 | all_4_153 = e23 | all_4_153 = e22 |
% 25.59/4.30 | | | | | all_4_153 = e20 | all_4_153 = e21
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | BETA: splitting (249) gives:
% 25.59/4.30 | | | | |
% 25.59/4.30 | | | | | Case 1:
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | (648) all_4_152 = e25
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (175), (648) imply:
% 25.59/4.30 | | | | | | (649) j(e25) = e13
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | GROUND_INST: instantiating (82) with all_4_144, e13, e25,
% 25.59/4.30 | | | | | | simplifying with (171), (649) gives:
% 25.59/4.30 | | | | | | (650) all_4_144 = e13
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (557), (650) imply:
% 25.59/4.30 | | | | | | (651) op1(e13, e13) = all_4_149
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (558), (650) imply:
% 25.59/4.30 | | | | | | (652) op1(e13, all_4_149) = e13
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | GROUND_INST: instantiating (84) with e12, all_4_149, e13, e13,
% 25.59/4.30 | | | | | | simplifying with (36), (651) gives:
% 25.59/4.30 | | | | | | (653) all_4_149 = e12
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (561), (653) imply:
% 25.59/4.30 | | | | | | (654) op1(e12, e12) = e12
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (652), (653) imply:
% 25.59/4.30 | | | | | | (655) op1(e13, e12) = e13
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | GROUND_INST: instantiating (84) with e13, e12, e12, e12, simplifying
% 25.59/4.30 | | | | | | with (29), (654) gives:
% 25.59/4.30 | | | | | | (656) e13 = e12
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | GROUND_INST: instantiating (84) with e10, e13, e12, e13, simplifying
% 25.59/4.30 | | | | | | with (35), (655) gives:
% 25.59/4.30 | | | | | | (657) e13 = e10
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | COMBINE_EQS: (656), (657) imply:
% 25.59/4.30 | | | | | | (658) e12 = e10
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | SIMP: (658) implies:
% 25.59/4.30 | | | | | | (659) e12 = e10
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | REDUCE: (3), (659) imply:
% 25.59/4.30 | | | | | | (660) $false
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | CLOSE: (660) is inconsistent.
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | Case 2:
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | (661) all_4_152 = e24 | all_4_152 = e23 | all_4_152 = e22 |
% 25.59/4.30 | | | | | | all_4_152 = e20 | all_4_152 = e21
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | BETA: splitting (567) gives:
% 25.59/4.30 | | | | | |
% 25.59/4.30 | | | | | | Case 1:
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | (662) all_4_155 = e24
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | REDUCE: (556), (662) imply:
% 25.59/4.30 | | | | | | | (663) op2(e24, e24) = e24
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | GROUND_INST: instantiating (85) with e23, e24, e24, e24,
% 25.59/4.30 | | | | | | | simplifying with (74), (663) gives:
% 25.59/4.30 | | | | | | | (664) e24 = e23
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | REDUCE: (10), (664) imply:
% 25.59/4.30 | | | | | | | (665) $false
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | CLOSE: (665) is inconsistent.
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | Case 2:
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | (666) ~ (all_4_155 = e24)
% 25.59/4.30 | | | | | | | (667) all_4_155 = e23 | all_4_155 = e22 | all_4_155 = e20 |
% 25.59/4.30 | | | | | | | all_4_155 = e21
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | BETA: splitting (575) gives:
% 25.59/4.30 | | | | | | |
% 25.59/4.30 | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | (668) all_4_146 = e14
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | REDUCE: (559), (668) imply:
% 25.59/4.30 | | | | | | | | (669) op1(all_4_145, all_4_145) = e14
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | REDUCE: (560), (668) imply:
% 25.59/4.30 | | | | | | | | (670) op1(e14, e14) = all_4_145
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | REF_CLOSE: (5), (36), (43), (84), (669), (670) are inconsistent
% 25.59/4.30 | | | | | | | | by sub-proof #3.
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | (671) all_4_146 = e13 | all_4_146 = e12 | all_4_146 = e10 |
% 25.59/4.30 | | | | | | | | all_4_146 = e11
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | BETA: splitting (643) gives:
% 25.59/4.30 | | | | | | | |
% 25.59/4.30 | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | (672) all_4_154 = e24
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | REDUCE: (555), (672) imply:
% 25.59/4.30 | | | | | | | | | (673) op2(e24, e24) = all_4_155
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | GROUND_INST: instantiating (85) with e23, all_4_155, e24, e24,
% 25.59/4.30 | | | | | | | | | simplifying with (74), (673) gives:
% 25.59/4.30 | | | | | | | | | (674) all_4_155 = e23
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | REDUCE: (666), (674) imply:
% 25.59/4.30 | | | | | | | | | (675) ~ (e24 = e23)
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | REDUCE: (556), (674) imply:
% 25.59/4.30 | | | | | | | | | (676) op2(e23, e23) = e23
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | GROUND_INST: instantiating (85) with e24, e23, e23, e23,
% 25.59/4.30 | | | | | | | | | simplifying with (68), (676) gives:
% 25.59/4.30 | | | | | | | | | (677) e24 = e23
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | REDUCE: (10), (677) imply:
% 25.59/4.30 | | | | | | | | | (678) $false
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | CLOSE: (678) is inconsistent.
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | (679) all_4_154 = e23 | all_4_154 = e22 | all_4_154 = e20 |
% 25.59/4.30 | | | | | | | | | all_4_154 = e21
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | BETA: splitting (647) gives:
% 25.59/4.30 | | | | | | | | |
% 25.59/4.30 | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | (680) all_4_153 = e24
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (550), (680) imply:
% 25.59/4.30 | | | | | | | | | | (681) op2(e24, all_4_152) = all_4_155
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (551), (680) imply:
% 25.59/4.30 | | | | | | | | | | (682) op2(e24, e24) = all_4_152
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (552), (680) imply:
% 25.59/4.30 | | | | | | | | | | (683) op2(e24, all_4_154) = all_4_151
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (554), (680) imply:
% 25.59/4.30 | | | | | | | | | | (684) op2(all_4_154, e24) = all_4_151
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | GROUND_INST: instantiating (85) with e23, all_4_152, e24, e24,
% 25.59/4.30 | | | | | | | | | | simplifying with (74), (682) gives:
% 25.59/4.30 | | | | | | | | | | (685) all_4_152 = e23
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (175), (685) imply:
% 25.59/4.30 | | | | | | | | | | (686) j(e23) = e13
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (681), (685) imply:
% 25.59/4.30 | | | | | | | | | | (687) op2(e24, e23) = all_4_155
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | GROUND_INST: instantiating (85) with e20, all_4_155, e23, e24,
% 25.59/4.30 | | | | | | | | | | simplifying with (73), (687) gives:
% 25.59/4.30 | | | | | | | | | | (688) all_4_155 = e20
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | GROUND_INST: instantiating (82) with all_4_146, e13, e23,
% 25.59/4.30 | | | | | | | | | | simplifying with (169), (686) gives:
% 25.59/4.30 | | | | | | | | | | (689) all_4_146 = e13
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | REDUCE: (172), (688) imply:
% 25.59/4.30 | | | | | | | | | | (690) j(e20) = e10
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | GROUND_INST: instantiating (82) with all_4_149, e10, e20,
% 25.59/4.30 | | | | | | | | | | simplifying with (168), (690) gives:
% 25.59/4.30 | | | | | | | | | | (691) all_4_149 = e10
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | BETA: splitting (679) gives:
% 25.59/4.30 | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | (692) all_4_154 = e23
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | REDUCE: (173), (692) imply:
% 25.59/4.30 | | | | | | | | | | | (693) j(e23) = e11
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | GROUND_INST: instantiating (82) with e13, e11, e23, simplifying
% 25.59/4.30 | | | | | | | | | | | with (686), (693) gives:
% 25.59/4.30 | | | | | | | | | | | (694) e13 = e11
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | REDUCE: (4), (694) imply:
% 25.59/4.30 | | | | | | | | | | | (695) $false
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | CLOSE: (695) is inconsistent.
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | Case 2:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | (696) all_4_154 = e22 | all_4_154 = e20 | all_4_154 =
% 25.59/4.30 | | | | | | | | | | | e21
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | BETA: splitting (696) gives:
% 25.59/4.30 | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | Case 1:
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | (697) all_4_154 = e22
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | REDUCE: (684), (697) imply:
% 25.59/4.30 | | | | | | | | | | | | (698) op2(e22, e24) = all_4_151
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | REDUCE: (683), (697) imply:
% 25.59/4.30 | | | | | | | | | | | | (699) op2(e24, e22) = all_4_151
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | GROUND_INST: instantiating (85) with e21, all_4_151, e24, e22,
% 25.59/4.30 | | | | | | | | | | | | simplifying with (63), (698) gives:
% 25.59/4.30 | | | | | | | | | | | | (700) all_4_151 = e21
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | GROUND_INST: instantiating (85) with e25, all_4_151, e22, e24,
% 25.59/4.30 | | | | | | | | | | | | simplifying with (72), (699) gives:
% 25.59/4.30 | | | | | | | | | | | | (701) all_4_151 = e25
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | COMBINE_EQS: (700), (701) imply:
% 25.59/4.30 | | | | | | | | | | | | (702) e25 = e21
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | REDUCE: (11), (702) imply:
% 25.59/4.30 | | | | | | | | | | | | (703) $false
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.30 | | | | | | | | | | | | CLOSE: (703) is inconsistent.
% 25.59/4.30 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | (704) all_4_154 = e20 | all_4_154 = e21
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | BETA: splitting (704) gives:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (705) all_4_154 = e20
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (173), (705) imply:
% 25.59/4.31 | | | | | | | | | | | | | (706) j(e20) = e11
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | GROUND_INST: instantiating (82) with e10, e11, e20, simplifying
% 25.59/4.31 | | | | | | | | | | | | | with (690), (706) gives:
% 25.59/4.31 | | | | | | | | | | | | | (707) e10 = e11
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (1), (707) imply:
% 25.59/4.31 | | | | | | | | | | | | | (708) $false
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | CLOSE: (708) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (709) all_4_154 = e21
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (684), (709) imply:
% 25.59/4.31 | | | | | | | | | | | | | (710) op2(e21, e24) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (683), (709) imply:
% 25.59/4.31 | | | | | | | | | | | | | (711) op2(e24, e21) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e25, all_4_151, e24, e21,
% 25.59/4.31 | | | | | | | | | | | | | simplifying with (54), (710) gives:
% 25.59/4.31 | | | | | | | | | | | | | (712) all_4_151 = e25
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e22, all_4_151, e21, e24,
% 25.59/4.31 | | | | | | | | | | | | | simplifying with (70), (711) gives:
% 25.59/4.31 | | | | | | | | | | | | | (713) all_4_151 = e22
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REF_CLOSE: (13), (712), (713) are inconsistent by sub-proof
% 25.59/4.31 | | | | | | | | | | | | | #1.
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | (714) ~ (all_4_153 = e24)
% 25.59/4.31 | | | | | | | | | | (715) all_4_153 = e23 | all_4_153 = e22 | all_4_153 = e20
% 25.59/4.31 | | | | | | | | | | | all_4_153 = e21
% 25.59/4.31 | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | BETA: splitting (661) gives:
% 25.59/4.31 | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | (716) all_4_152 = e24
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (547), (716) imply:
% 25.59/4.31 | | | | | | | | | | | (717) op2(e24, e24) = all_4_153
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (548), (716) imply:
% 25.59/4.31 | | | | | | | | | | | (718) op2(e24, all_4_153) = all_4_155
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | GROUND_INST: instantiating (85) with e23, all_4_153, e24, e24,
% 25.59/4.31 | | | | | | | | | | | simplifying with (74), (717) gives:
% 25.59/4.31 | | | | | | | | | | | (719) all_4_153 = e23
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (174), (719) imply:
% 25.59/4.31 | | | | | | | | | | | (720) j(e23) = e12
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (552), (719) imply:
% 25.59/4.31 | | | | | | | | | | | (721) op2(e23, all_4_154) = all_4_151
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (554), (719) imply:
% 25.59/4.31 | | | | | | | | | | | (722) op2(all_4_154, e23) = all_4_151
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (718), (719) imply:
% 25.59/4.31 | | | | | | | | | | | (723) op2(e24, e23) = all_4_155
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | GROUND_INST: instantiating (85) with e20, all_4_155, e23, e24,
% 25.59/4.31 | | | | | | | | | | | simplifying with (73), (723) gives:
% 25.59/4.31 | | | | | | | | | | | (724) all_4_155 = e20
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | GROUND_INST: instantiating (82) with all_4_146, e12, e23,
% 25.59/4.31 | | | | | | | | | | | simplifying with (169), (720) gives:
% 25.59/4.31 | | | | | | | | | | | (725) all_4_146 = e12
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | REDUCE: (172), (724) imply:
% 25.59/4.31 | | | | | | | | | | | (726) j(e20) = e10
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | GROUND_INST: instantiating (82) with all_4_149, e10, e20,
% 25.59/4.31 | | | | | | | | | | | simplifying with (168), (726) gives:
% 25.59/4.31 | | | | | | | | | | | (727) all_4_149 = e10
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | BETA: splitting (679) gives:
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | (728) all_4_154 = e23
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | REDUCE: (173), (728) imply:
% 25.59/4.31 | | | | | | | | | | | | (729) j(e23) = e11
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | GROUND_INST: instantiating (82) with e12, e11, e23, simplifying
% 25.59/4.31 | | | | | | | | | | | | with (720), (729) gives:
% 25.59/4.31 | | | | | | | | | | | | (730) e12 = e11
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | REDUCE: (2), (730) imply:
% 25.59/4.31 | | | | | | | | | | | | (731) $false
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | CLOSE: (731) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | (732) all_4_154 = e22 | all_4_154 = e20 | all_4_154 =
% 25.59/4.31 | | | | | | | | | | | | e21
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | BETA: splitting (732) gives:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (733) all_4_154 = e22
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (722), (733) imply:
% 25.59/4.31 | | | | | | | | | | | | | (734) op2(e22, e23) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (721), (733) imply:
% 25.59/4.31 | | | | | | | | | | | | | (735) op2(e23, e22) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e25, all_4_151, e23, e22,
% 25.59/4.31 | | | | | | | | | | | | | simplifying with (62), (734) gives:
% 25.59/4.31 | | | | | | | | | | | | | (736) all_4_151 = e25
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e21, all_4_151, e22, e23,
% 25.59/4.31 | | | | | | | | | | | | | simplifying with (67), (735) gives:
% 25.59/4.31 | | | | | | | | | | | | | (737) all_4_151 = e21
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | COMBINE_EQS: (736), (737) imply:
% 25.59/4.31 | | | | | | | | | | | | | (738) e25 = e21
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (11), (738) imply:
% 25.59/4.31 | | | | | | | | | | | | | (739) $false
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | CLOSE: (739) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (740) all_4_154 = e20 | all_4_154 = e21
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | BETA: splitting (740) gives:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | (741) all_4_154 = e20
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (173), (741) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (742) j(e20) = e11
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (82) with e10, e11, e20, simplifying
% 25.59/4.31 | | | | | | | | | | | | | | with (726), (742) gives:
% 25.59/4.31 | | | | | | | | | | | | | | (743) e10 = e11
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (1), (743) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (744) $false
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | CLOSE: (744) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | (745) all_4_154 = e21
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (722), (745) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (746) op2(e21, e23) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (721), (745) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (747) op2(e23, e21) = all_4_151
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e22, all_4_151, e23, e21,
% 25.59/4.31 | | | | | | | | | | | | | | simplifying with (53), (746) gives:
% 25.59/4.31 | | | | | | | | | | | | | | (748) all_4_151 = e22
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e25, all_4_151, e21, e23,
% 25.59/4.31 | | | | | | | | | | | | | | simplifying with (65), (747) gives:
% 25.59/4.31 | | | | | | | | | | | | | | (749) all_4_151 = e25
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REF_CLOSE: (13), (748), (749) are inconsistent by sub-proof
% 25.59/4.31 | | | | | | | | | | | | | | #1.
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | End of split
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | (750) ~ (all_4_152 = e24)
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | BETA: splitting (667) gives:
% 25.59/4.31 | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | (751) all_4_155 = e23
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | REDUCE: (666), (751) imply:
% 25.59/4.31 | | | | | | | | | | | | (752) ~ (e24 = e23)
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | REDUCE: (556), (751) imply:
% 25.59/4.31 | | | | | | | | | | | | (753) op2(e23, e23) = e23
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | GROUND_INST: instantiating (85) with e24, e23, e23, e23,
% 25.59/4.31 | | | | | | | | | | | | simplifying with (68), (753) gives:
% 25.59/4.31 | | | | | | | | | | | | (754) e24 = e23
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | REDUCE: (10), (754) imply:
% 25.59/4.31 | | | | | | | | | | | | (755) $false
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | CLOSE: (755) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | (756) ~ (all_4_155 = e23)
% 25.59/4.31 | | | | | | | | | | | | (757) all_4_155 = e22 | all_4_155 = e20 | all_4_155 =
% 25.59/4.31 | | | | | | | | | | | | e21
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | BETA: splitting (671) gives:
% 25.59/4.31 | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (758) all_4_146 = e13
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REDUCE: (560), (758) imply:
% 25.59/4.31 | | | | | | | | | | | | | (759) op1(e13, e13) = all_4_145
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | REF_CLOSE: (36), (83), (84), (202), (208), (714), (759) are
% 25.59/4.31 | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | (760) all_4_146 = e12 | all_4_146 = e10 | all_4_146 =
% 25.59/4.31 | | | | | | | | | | | | | e11
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | BETA: splitting (679) gives:
% 25.59/4.31 | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | (761) all_4_154 = e23
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (555), (761) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (762) op2(e23, e23) = all_4_155
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e24, all_4_155, e23, e23,
% 25.59/4.31 | | | | | | | | | | | | | | simplifying with (68), (762) gives:
% 25.59/4.31 | | | | | | | | | | | | | | (763) all_4_155 = e24
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | REDUCE: (666), (763) imply:
% 25.59/4.31 | | | | | | | | | | | | | | (764) $false
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | CLOSE: (764) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | (765) ~ (all_4_154 = e23)
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | BETA: splitting (715) gives:
% 25.59/4.31 | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | (766) all_4_153 = e23
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | REDUCE: (551), (766) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | (767) op2(e23, e23) = all_4_152
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e24, all_4_152, e23, e23,
% 25.59/4.31 | | | | | | | | | | | | | | | simplifying with (68), (767) gives:
% 25.59/4.31 | | | | | | | | | | | | | | | (768) all_4_152 = e24
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | REDUCE: (750), (768) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | (769) $false
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | CLOSE: (769) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | (770) ~ (all_4_153 = e23)
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | BETA: splitting (757) gives:
% 25.59/4.31 | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | (771) all_4_155 = e22
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | REDUCE: (556), (771) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | | (772) op2(e22, e22) = e22
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e20, e22, e22, e22,
% 25.59/4.31 | | | | | | | | | | | | | | | | simplifying with (61), (772) gives:
% 25.59/4.31 | | | | | | | | | | | | | | | | (773) e22 = e20
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | REDUCE: (8), (773) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | | (774) $false
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | CLOSE: (774) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | Case 2:
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | (775) all_4_155 = e20 | all_4_155 = e21
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | BETA: splitting (760) gives:
% 25.59/4.31 | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | Case 1:
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | | (776) all_4_146 = e12
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | | REDUCE: (207), (776) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | | | (777) h(e12) = e23
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (83) with all_4_153, e23, e12,
% 25.59/4.31 | | | | | | | | | | | | | | | | | simplifying with (202), (777) gives:
% 25.59/4.31 | | | | | | | | | | | | | | | | | (778) all_4_153 = e23
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | | REDUCE: (770), (778) imply:
% 25.59/4.31 | | | | | | | | | | | | | | | | | (779) $false
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.31 | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 25.59/4.31 | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | Case 2:
% 25.59/4.32 | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | (780) all_4_146 = e10 | all_4_146 = e11
% 25.59/4.32 | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | Case 1:
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (781) all_4_155 = e20
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (756), (781) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (782) ~ (e23 = e20)
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (172), (781) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (783) j(e20) = e10
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (82) with all_4_149, e10, e20,
% 25.59/4.32 | | | | | | | | | | | | | | | | | | simplifying with (168), (783) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (784) all_4_149 = e10
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (206), (784) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (785) h(e10) = e20
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | BETA: splitting (780) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | Case 1:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (786) all_4_146 = e10
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | REDUCE: (207), (786) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (787) h(e10) = e23
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (83) with e20, e23, e10, simplifying
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | with (785), (787) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (788) e23 = e20
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | REDUCE: (9), (788) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (789) $false
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | CLOSE: (789) is inconsistent.
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | Case 2:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (790) all_4_146 = e11
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | REDUCE: (207), (790) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (791) h(e11) = e23
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (83) with all_4_154, e23, e11,
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | simplifying with (200), (791) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (792) all_4_154 = e23
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | REDUCE: (765), (792) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | (793) $false
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | | CLOSE: (793) is inconsistent.
% 25.59/4.32 | | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | Case 2:
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (794) all_4_155 = e21
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (795) ~ (all_4_155 = e20)
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (794), (795) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (796) ~ (e20 = e21)
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | SIMP: (796) implies:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (797) ~ (e20 = e21)
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (556), (794) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (798) op2(e21, e21) = e21
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (85) with e20, e21, e21, e21,
% 25.59/4.32 | | | | | | | | | | | | | | | | | | simplifying with (51), (798) gives:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (799) e20 = e21
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (797), (799) imply:
% 25.59/4.32 | | | | | | | | | | | | | | | | | | (800) $false
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | | CLOSE: (800) is inconsistent.
% 25.59/4.32 | | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | | |
% 25.59/4.32 | | | | | | | | | End of split
% 25.59/4.32 | | | | | | | | |
% 25.59/4.32 | | | | | | | | End of split
% 25.59/4.32 | | | | | | | |
% 25.59/4.32 | | | | | | | End of split
% 25.59/4.32 | | | | | | |
% 25.59/4.32 | | | | | | End of split
% 25.59/4.32 | | | | | |
% 25.59/4.32 | | | | | End of split
% 25.59/4.32 | | | | |
% 25.59/4.32 | | | | End of split
% 25.59/4.32 | | | |
% 25.59/4.32 | | | End of split
% 25.59/4.32 | | |
% 25.59/4.32 | | End of split
% 25.59/4.32 | |
% 25.59/4.32 | End of split
% 25.59/4.32 |
% 25.59/4.32 End of proof
% 25.59/4.32
% 25.59/4.32 Sub-proof #1 shows that the following formulas are inconsistent:
% 25.59/4.32 ----------------------------------------------------------------
% 25.98/4.32 (1) all_4_151 = e25
% 25.98/4.32 (2) all_4_151 = e22
% 25.98/4.32 (3) ~ (e25 = e22)
% 25.98/4.32
% 25.98/4.32 Begin of proof
% 25.98/4.32 |
% 25.98/4.32 | COMBINE_EQS: (1), (2) imply:
% 25.98/4.32 | (4) e25 = e22
% 25.98/4.32 |
% 25.98/4.32 | SIMP: (4) implies:
% 25.98/4.32 | (5) e25 = e22
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (3), (5) imply:
% 25.98/4.32 | (6) $false
% 25.98/4.32 |
% 25.98/4.32 | CLOSE: (6) is inconsistent.
% 25.98/4.32 |
% 25.98/4.32 End of proof
% 25.98/4.32
% 25.98/4.32 Sub-proof #2 shows that the following formulas are inconsistent:
% 25.98/4.32 ----------------------------------------------------------------
% 25.98/4.32 (1) op1(e13, e13) = e12
% 25.98/4.32 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.98/4.32 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 25.98/4.32 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 25.98/4.32 (h(v2) = v0))
% 25.98/4.32 (4) ~ (all_4_153 = e24)
% 25.98/4.32 (5) h(all_4_145) = e24
% 25.98/4.32 (6) h(e12) = all_4_153
% 25.98/4.32 (7) op1(e13, e13) = all_4_145
% 25.98/4.32
% 25.98/4.32 Begin of proof
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (2) with e12, all_4_145, e13, e13, simplifying with
% 25.98/4.32 | (1), (7) gives:
% 25.98/4.32 | (8) all_4_145 = e12
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (5), (8) imply:
% 25.98/4.32 | (9) h(e12) = e24
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (3) with all_4_153, e24, e12, simplifying with (6),
% 25.98/4.32 | (9) gives:
% 25.98/4.32 | (10) all_4_153 = e24
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (4), (10) imply:
% 25.98/4.32 | (11) $false
% 25.98/4.32 |
% 25.98/4.32 | CLOSE: (11) is inconsistent.
% 25.98/4.32 |
% 25.98/4.32 End of proof
% 25.98/4.32
% 25.98/4.32 Sub-proof #3 shows that the following formulas are inconsistent:
% 25.98/4.32 ----------------------------------------------------------------
% 25.98/4.32 (1) ~ (e14 = e12)
% 25.98/4.32 (2) op1(e13, e13) = e12
% 25.98/4.32 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.98/4.32 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 25.98/4.32 (4) op1(e14, e14) = e13
% 25.98/4.32 (5) op1(all_4_145, all_4_145) = e14
% 25.98/4.32 (6) op1(e14, e14) = all_4_145
% 25.98/4.32
% 25.98/4.32 Begin of proof
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (3) with e13, all_4_145, e14, e14, simplifying with
% 25.98/4.32 | (4), (6) gives:
% 25.98/4.32 | (7) all_4_145 = e13
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (5), (7) imply:
% 25.98/4.32 | (8) op1(e13, e13) = e14
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (3) with e12, e14, e13, e13, simplifying with (2),
% 25.98/4.32 | (8) gives:
% 25.98/4.32 | (9) e14 = e12
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (1), (9) imply:
% 25.98/4.32 | (10) $false
% 25.98/4.32 |
% 25.98/4.32 | CLOSE: (10) is inconsistent.
% 25.98/4.32 |
% 25.98/4.32 End of proof
% 25.98/4.32
% 25.98/4.32 Sub-proof #4 shows that the following formulas are inconsistent:
% 25.98/4.32 ----------------------------------------------------------------
% 25.98/4.32 (1) op2(e25, e25) = e20
% 25.98/4.32 (2) op2(all_4_152, all_4_152) = e25
% 25.98/4.32 (3) ~ (e25 = e20)
% 25.98/4.32 (4) op2(e25, e25) = all_4_152
% 25.98/4.32 (5) op2(e20, e20) = e20
% 25.98/4.32 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.98/4.32 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 25.98/4.32
% 25.98/4.32 Begin of proof
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (6) with e20, all_4_152, e25, e25, simplifying with
% 25.98/4.32 | (1), (4) gives:
% 25.98/4.32 | (7) all_4_152 = e20
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (2), (7) imply:
% 25.98/4.32 | (8) op2(e20, e20) = e25
% 25.98/4.32 |
% 25.98/4.32 | GROUND_INST: instantiating (6) with e20, e25, e20, e20, simplifying with (5),
% 25.98/4.32 | (8) gives:
% 25.98/4.32 | (9) e25 = e20
% 25.98/4.32 |
% 25.98/4.32 | REDUCE: (3), (9) imply:
% 25.98/4.32 | (10) $false
% 25.98/4.32 |
% 25.98/4.32 | CLOSE: (10) is inconsistent.
% 25.98/4.32 |
% 25.98/4.32 End of proof
% 25.98/4.32 % SZS output end Proof for theBenchmark
% 25.98/4.32
% 25.98/4.32 3708ms
%------------------------------------------------------------------------------